2 * Copyright 2010-2011 INRIA Saclay
3 * Copyright 2011 Sven Verdoolaege
4 * Copyright 2012-2014 Ecole Normale Superieure
6 * Use of this software is governed by the MIT license
8 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
9 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
11 * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
17 #include <isl_val_private.h>
19 #include <isl_pw_macro.h>
22 __isl_give PW
*FN(PW
,alloc_size
)(__isl_take isl_space
*dim
,
23 enum isl_fold type
, int n
)
25 __isl_give PW
*FN(PW
,alloc_size
)(__isl_take isl_space
*dim
, int n
)
33 ctx
= isl_space_get_ctx(dim
);
34 isl_assert(ctx
, n
>= 0, goto error
);
35 pw
= isl_alloc(ctx
, struct PW
,
36 sizeof(struct PW
) + (n
- 1) * sizeof(S(PW
,piece
)));
54 __isl_give PW
*FN(PW
,ZERO
)(__isl_take isl_space
*dim
, enum isl_fold type
)
56 return FN(PW
,alloc_size
)(dim
, type
, 0);
59 __isl_give PW
*FN(PW
,ZERO
)(__isl_take isl_space
*dim
)
61 return FN(PW
,alloc_size
)(dim
, 0);
65 __isl_give PW
*FN(PW
,add_piece
)(__isl_take PW
*pw
,
66 __isl_take isl_set
*set
, __isl_take EL
*el
)
69 isl_space
*el_dim
= NULL
;
71 if (!pw
|| !set
|| !el
)
74 if (isl_set_plain_is_empty(set
) || FN(EL
,EL_IS_ZERO
)(el
)) {
80 ctx
= isl_set_get_ctx(set
);
82 if (pw
->type
!= el
->type
)
83 isl_die(ctx
, isl_error_invalid
, "fold types don't match",
86 el_dim
= FN(EL
,get_space(el
));
87 isl_assert(ctx
, isl_space_is_equal(pw
->dim
, el_dim
), goto error
);
88 isl_assert(ctx
, pw
->n
< pw
->size
, goto error
);
90 pw
->p
[pw
->n
].set
= set
;
91 pw
->p
[pw
->n
].FIELD
= el
;
94 isl_space_free(el_dim
);
97 isl_space_free(el_dim
);
104 /* Does the space of "set" correspond to that of the domain of "el".
106 static isl_bool
FN(PW
,compatible_domain
)(__isl_keep EL
*el
,
107 __isl_keep isl_set
*set
)
110 isl_space
*el_space
, *set_space
;
113 return isl_bool_error
;
114 set_space
= isl_set_get_space(set
);
115 el_space
= FN(EL
,get_space
)(el
);
116 ok
= isl_space_is_domain_internal(set_space
, el_space
);
117 isl_space_free(el_space
);
118 isl_space_free(set_space
);
122 /* Check that the space of "set" corresponds to that of the domain of "el".
124 static isl_stat
FN(PW
,check_compatible_domain
)(__isl_keep EL
*el
,
125 __isl_keep isl_set
*set
)
129 ok
= FN(PW
,compatible_domain
)(el
, set
);
131 return isl_stat_error
;
133 isl_die(isl_set_get_ctx(set
), isl_error_invalid
,
134 "incompatible spaces", return isl_stat_error
);
140 __isl_give PW
*FN(PW
,alloc
)(enum isl_fold type
,
141 __isl_take isl_set
*set
, __isl_take EL
*el
)
143 __isl_give PW
*FN(PW
,alloc
)(__isl_take isl_set
*set
, __isl_take EL
*el
)
148 if (FN(PW
,check_compatible_domain
)(el
, set
) < 0)
152 pw
= FN(PW
,alloc_size
)(FN(EL
,get_space
)(el
), type
, 1);
154 pw
= FN(PW
,alloc_size
)(FN(EL
,get_space
)(el
), 1);
157 return FN(PW
,add_piece
)(pw
, set
, el
);
164 __isl_give PW
*FN(PW
,dup
)(__isl_keep PW
*pw
)
173 dup
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), pw
->type
, pw
->n
);
175 dup
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), pw
->n
);
180 for (i
= 0; i
< pw
->n
; ++i
)
181 dup
= FN(PW
,add_piece
)(dup
, isl_set_copy(pw
->p
[i
].set
),
182 FN(EL
,copy
)(pw
->p
[i
].FIELD
));
187 __isl_give PW
*FN(PW
,cow
)(__isl_take PW
*pw
)
195 return FN(PW
,dup
)(pw
);
198 __isl_give PW
*FN(PW
,copy
)(__isl_keep PW
*pw
)
207 __isl_null PW
*FN(PW
,free
)(__isl_take PW
*pw
)
216 for (i
= 0; i
< pw
->n
; ++i
) {
217 isl_set_free(pw
->p
[i
].set
);
218 FN(EL
,free
)(pw
->p
[i
].FIELD
);
220 isl_space_free(pw
->dim
);
226 const char *FN(PW
,get_dim_name
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
229 return pw
? isl_space_get_dim_name(pw
->dim
, type
, pos
) : NULL
;
232 isl_bool
FN(PW
,has_dim_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
235 return pw
? isl_space_has_dim_id(pw
->dim
, type
, pos
) : isl_bool_error
;
238 __isl_give isl_id
*FN(PW
,get_dim_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
241 return pw
? isl_space_get_dim_id(pw
->dim
, type
, pos
) : NULL
;
244 isl_bool
FN(PW
,has_tuple_name
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
246 return pw
? isl_space_has_tuple_name(pw
->dim
, type
) : isl_bool_error
;
249 const char *FN(PW
,get_tuple_name
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
251 return pw
? isl_space_get_tuple_name(pw
->dim
, type
) : NULL
;
254 isl_bool
FN(PW
,has_tuple_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
256 return pw
? isl_space_has_tuple_id(pw
->dim
, type
) : isl_bool_error
;
259 __isl_give isl_id
*FN(PW
,get_tuple_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
261 return pw
? isl_space_get_tuple_id(pw
->dim
, type
) : NULL
;
264 isl_bool
FN(PW
,IS_ZERO
)(__isl_keep PW
*pw
)
267 return isl_bool_error
;
273 __isl_give PW
*FN(PW
,realign_domain
)(__isl_take PW
*pw
,
274 __isl_take isl_reordering
*exp
)
282 for (i
= 0; i
< pw
->n
; ++i
) {
283 pw
->p
[i
].set
= isl_set_realign(pw
->p
[i
].set
,
284 isl_reordering_copy(exp
));
287 pw
->p
[i
].FIELD
= FN(EL
,realign_domain
)(pw
->p
[i
].FIELD
,
288 isl_reordering_copy(exp
));
293 pw
= FN(PW
,reset_domain_space
)(pw
, isl_reordering_get_space(exp
));
295 isl_reordering_free(exp
);
298 isl_reordering_free(exp
);
303 /* Check that "pw" has only named parameters, reporting an error
306 isl_stat
FN(PW
,check_named_params
)(__isl_keep PW
*pw
)
308 return isl_space_check_named_params(FN(PW
,peek_space
)(pw
));
311 /* Align the parameters of "pw" to those of "model".
313 __isl_give PW
*FN(PW
,align_params
)(__isl_take PW
*pw
, __isl_take isl_space
*model
)
316 isl_bool equal_params
;
321 ctx
= isl_space_get_ctx(model
);
322 if (!isl_space_has_named_params(model
))
323 isl_die(ctx
, isl_error_invalid
,
324 "model has unnamed parameters", goto error
);
325 if (FN(PW
,check_named_params
)(pw
) < 0)
327 equal_params
= isl_space_has_equal_params(pw
->dim
, model
);
328 if (equal_params
< 0)
333 exp
= isl_parameter_alignment_reordering(pw
->dim
, model
);
334 exp
= isl_reordering_extend_space(exp
,
335 FN(PW
,get_domain_space
)(pw
));
336 pw
= FN(PW
,realign_domain
)(pw
, exp
);
339 isl_space_free(model
);
342 isl_space_free(model
);
347 static __isl_give PW
*FN(PW
,align_params_pw_pw_and
)(__isl_take PW
*pw1
,
349 __isl_give PW
*(*fn
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
))
351 isl_bool equal_params
;
355 equal_params
= isl_space_has_equal_params(pw1
->dim
, pw2
->dim
);
356 if (equal_params
< 0)
360 if (FN(PW
,check_named_params
)(pw1
) < 0 ||
361 FN(PW
,check_named_params
)(pw2
) < 0)
363 pw1
= FN(PW
,align_params
)(pw1
, FN(PW
,get_space
)(pw2
));
364 pw2
= FN(PW
,align_params
)(pw2
, FN(PW
,get_space
)(pw1
));
372 static __isl_give PW
*FN(PW
,align_params_pw_set_and
)(__isl_take PW
*pw
,
373 __isl_take isl_set
*set
,
374 __isl_give PW
*(*fn
)(__isl_take PW
*pw
, __isl_take isl_set
*set
))
381 aligned
= isl_set_space_has_equal_params(set
, pw
->dim
);
386 ctx
= FN(PW
,get_ctx
)(pw
);
387 if (FN(PW
,check_named_params
)(pw
) < 0)
389 if (!isl_space_has_named_params(set
->dim
))
390 isl_die(ctx
, isl_error_invalid
,
391 "unaligned unnamed parameters", goto error
);
392 pw
= FN(PW
,align_params
)(pw
, isl_set_get_space(set
));
393 set
= isl_set_align_params(set
, FN(PW
,get_space
)(pw
));
402 static __isl_give PW
*FN(PW
,union_add_aligned
)(__isl_take PW
*pw1
,
413 ctx
= isl_space_get_ctx(pw1
->dim
);
415 if (pw1
->type
!= pw2
->type
)
416 isl_die(ctx
, isl_error_invalid
,
417 "fold types don't match", goto error
);
419 isl_assert(ctx
, isl_space_is_equal(pw1
->dim
, pw2
->dim
), goto error
);
421 if (FN(PW
,IS_ZERO
)(pw1
)) {
426 if (FN(PW
,IS_ZERO
)(pw2
)) {
431 n
= (pw1
->n
+ 1) * (pw2
->n
+ 1);
433 res
= FN(PW
,alloc_size
)(isl_space_copy(pw1
->dim
), pw1
->type
, n
);
435 res
= FN(PW
,alloc_size
)(isl_space_copy(pw1
->dim
), n
);
438 for (i
= 0; i
< pw1
->n
; ++i
) {
439 set
= isl_set_copy(pw1
->p
[i
].set
);
440 for (j
= 0; j
< pw2
->n
; ++j
) {
441 struct isl_set
*common
;
443 common
= isl_set_intersect(isl_set_copy(pw1
->p
[i
].set
),
444 isl_set_copy(pw2
->p
[j
].set
));
445 if (isl_set_plain_is_empty(common
)) {
446 isl_set_free(common
);
449 set
= isl_set_subtract(set
,
450 isl_set_copy(pw2
->p
[j
].set
));
452 sum
= FN(EL
,add_on_domain
)(common
,
453 FN(EL
,copy
)(pw1
->p
[i
].FIELD
),
454 FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
456 res
= FN(PW
,add_piece
)(res
, common
, sum
);
458 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw1
->p
[i
].FIELD
));
461 for (j
= 0; j
< pw2
->n
; ++j
) {
462 set
= isl_set_copy(pw2
->p
[j
].set
);
463 for (i
= 0; i
< pw1
->n
; ++i
)
464 set
= isl_set_subtract(set
,
465 isl_set_copy(pw1
->p
[i
].set
));
466 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
479 /* Private version of "union_add". For isl_pw_qpolynomial and
480 * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
482 static __isl_give PW
*FN(PW
,union_add_
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
484 return FN(PW
,align_params_pw_pw_and
)(pw1
, pw2
,
485 &FN(PW
,union_add_aligned
));
488 /* Make sure "pw" has room for at least "n" more pieces.
490 * If there is only one reference to pw, we extend it in place.
491 * Otherwise, we create a new PW and copy the pieces.
493 static __isl_give PW
*FN(PW
,grow
)(__isl_take PW
*pw
, int n
)
501 if (pw
->n
+ n
<= pw
->size
)
503 ctx
= FN(PW
,get_ctx
)(pw
);
506 res
= isl_realloc(ctx
, pw
, struct PW
,
507 sizeof(struct PW
) + (n
- 1) * sizeof(S(PW
,piece
)));
509 return FN(PW
,free
)(pw
);
514 res
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), pw
->type
, n
);
516 res
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), n
);
519 return FN(PW
,free
)(pw
);
520 for (i
= 0; i
< pw
->n
; ++i
)
521 res
= FN(PW
,add_piece
)(res
, isl_set_copy(pw
->p
[i
].set
),
522 FN(EL
,copy
)(pw
->p
[i
].FIELD
));
527 static __isl_give PW
*FN(PW
,add_disjoint_aligned
)(__isl_take PW
*pw1
,
536 if (pw1
->size
< pw1
->n
+ pw2
->n
&& pw1
->n
< pw2
->n
)
537 return FN(PW
,add_disjoint_aligned
)(pw2
, pw1
);
539 ctx
= isl_space_get_ctx(pw1
->dim
);
541 if (pw1
->type
!= pw2
->type
)
542 isl_die(ctx
, isl_error_invalid
,
543 "fold types don't match", goto error
);
545 isl_assert(ctx
, isl_space_is_equal(pw1
->dim
, pw2
->dim
), goto error
);
547 if (FN(PW
,IS_ZERO
)(pw1
)) {
552 if (FN(PW
,IS_ZERO
)(pw2
)) {
557 pw1
= FN(PW
,grow
)(pw1
, pw2
->n
);
561 for (i
= 0; i
< pw2
->n
; ++i
)
562 pw1
= FN(PW
,add_piece
)(pw1
,
563 isl_set_copy(pw2
->p
[i
].set
),
564 FN(EL
,copy
)(pw2
->p
[i
].FIELD
));
575 __isl_give PW
*FN(PW
,add_disjoint
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
577 return FN(PW
,align_params_pw_pw_and
)(pw1
, pw2
,
578 &FN(PW
,add_disjoint_aligned
));
581 /* This function is currently only used from isl_aff.c
583 static __isl_give PW
*FN(PW
,on_shared_domain_in
)(__isl_take PW
*pw1
,
584 __isl_take PW
*pw2
, __isl_take isl_space
*space
,
585 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
586 __attribute__ ((unused
));
588 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
589 * The result of "fn" (and therefore also of this function) lives in "space".
591 static __isl_give PW
*FN(PW
,on_shared_domain_in
)(__isl_take PW
*pw1
,
592 __isl_take PW
*pw2
, __isl_take isl_space
*space
,
593 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
603 res
= FN(PW
,alloc_size
)(isl_space_copy(space
), pw1
->type
, n
);
605 res
= FN(PW
,alloc_size
)(isl_space_copy(space
), n
);
608 for (i
= 0; i
< pw1
->n
; ++i
) {
609 for (j
= 0; j
< pw2
->n
; ++j
) {
614 common
= isl_set_intersect(
615 isl_set_copy(pw1
->p
[i
].set
),
616 isl_set_copy(pw2
->p
[j
].set
));
617 empty
= isl_set_plain_is_empty(common
);
618 if (empty
< 0 || empty
) {
619 isl_set_free(common
);
625 res_ij
= fn(FN(EL
,copy
)(pw1
->p
[i
].FIELD
),
626 FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
627 res_ij
= FN(EL
,gist
)(res_ij
, isl_set_copy(common
));
629 res
= FN(PW
,add_piece
)(res
, common
, res_ij
);
633 isl_space_free(space
);
638 isl_space_free(space
);
645 /* This function is currently only used from isl_aff.c
647 static __isl_give PW
*FN(PW
,on_shared_domain
)(__isl_take PW
*pw1
,
649 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
650 __attribute__ ((unused
));
652 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
653 * The result of "fn" is assumed to live in the same space as "pw1" and "pw2".
655 static __isl_give PW
*FN(PW
,on_shared_domain
)(__isl_take PW
*pw1
,
657 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
664 space
= isl_space_copy(pw1
->dim
);
665 return FN(PW
,on_shared_domain_in
)(pw1
, pw2
, space
, fn
);
673 __isl_give PW
*FN(PW
,neg
)(__isl_take PW
*pw
)
680 if (FN(PW
,IS_ZERO
)(pw
))
687 for (i
= 0; i
< pw
->n
; ++i
) {
688 pw
->p
[i
].FIELD
= FN(EL
,neg
)(pw
->p
[i
].FIELD
);
690 return FN(PW
,free
)(pw
);
698 __isl_give PW
*FN(PW
,sub
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
700 return FN(PW
,add
)(pw1
, FN(PW
,neg
)(pw2
));
704 /* Return the parameter domain of "pw".
706 __isl_give isl_set
*FN(PW
,params
)(__isl_take PW
*pw
)
708 return isl_set_params(FN(PW
,domain
)(pw
));
711 __isl_give isl_set
*FN(PW
,domain
)(__isl_take PW
*pw
)
719 dom
= isl_set_empty(FN(PW
,get_domain_space
)(pw
));
720 for (i
= 0; i
< pw
->n
; ++i
)
721 dom
= isl_set_union_disjoint(dom
, isl_set_copy(pw
->p
[i
].set
));
728 /* Exploit the equalities in the domain of piece "i" of "pw"
729 * to simplify the associated function.
730 * If the domain of piece "i" is empty, then remove it entirely,
731 * replacing it with the final piece.
733 static int FN(PW
,exploit_equalities_and_remove_if_empty
)(__isl_keep PW
*pw
,
737 int empty
= isl_set_plain_is_empty(pw
->p
[i
].set
);
742 isl_set_free(pw
->p
[i
].set
);
743 FN(EL
,free
)(pw
->p
[i
].FIELD
);
745 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
751 aff
= isl_set_affine_hull(isl_set_copy(pw
->p
[i
].set
));
752 pw
->p
[i
].FIELD
= FN(EL
,substitute_equalities
)(pw
->p
[i
].FIELD
, aff
);
759 /* Convert a piecewise expression defined over a parameter domain
760 * into one that is defined over a zero-dimensional set.
762 __isl_give PW
*FN(PW
,from_range
)(__isl_take PW
*pw
)
768 if (!isl_space_is_set(pw
->dim
))
769 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
770 "not living in a set space", return FN(PW
,free
)(pw
));
772 space
= FN(PW
,get_space
)(pw
);
773 space
= isl_space_from_range(space
);
774 pw
= FN(PW
,reset_space
)(pw
, space
);
779 /* Fix the value of the given parameter or domain dimension of "pw"
780 * to be equal to "value".
782 __isl_give PW
*FN(PW
,fix_si
)(__isl_take PW
*pw
, enum isl_dim_type type
,
783 unsigned pos
, int value
)
790 if (type
== isl_dim_out
)
791 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
792 "cannot fix output dimension", return FN(PW
,free
)(pw
));
797 if (type
== isl_dim_in
)
802 return FN(PW
,free
)(pw
);
804 for (i
= pw
->n
- 1; i
>= 0; --i
) {
805 pw
->p
[i
].set
= isl_set_fix_si(pw
->p
[i
].set
, type
, pos
, value
);
806 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
807 return FN(PW
,free
)(pw
);
813 /* Restrict the domain of "pw" by combining each cell
814 * with "set" through a call to "fn", where "fn" may be
815 * isl_set_intersect, isl_set_intersect_params or isl_set_subtract.
817 static __isl_give PW
*FN(PW
,restrict_domain_aligned
)(__isl_take PW
*pw
,
818 __isl_take isl_set
*set
,
819 __isl_give isl_set
*(*fn
)(__isl_take isl_set
*set1
,
820 __isl_take isl_set
*set2
))
836 for (i
= pw
->n
- 1; i
>= 0; --i
) {
837 pw
->p
[i
].set
= fn(pw
->p
[i
].set
, isl_set_copy(set
));
838 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
850 static __isl_give PW
*FN(PW
,intersect_domain_aligned
)(__isl_take PW
*pw
,
851 __isl_take isl_set
*set
)
853 return FN(PW
,restrict_domain_aligned
)(pw
, set
, &isl_set_intersect
);
856 __isl_give PW
*FN(PW
,intersect_domain
)(__isl_take PW
*pw
,
857 __isl_take isl_set
*context
)
859 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
860 &FN(PW
,intersect_domain_aligned
));
863 static __isl_give PW
*FN(PW
,intersect_params_aligned
)(__isl_take PW
*pw
,
864 __isl_take isl_set
*set
)
866 return FN(PW
,restrict_domain_aligned
)(pw
, set
,
867 &isl_set_intersect_params
);
870 /* Intersect the domain of "pw" with the parameter domain "context".
872 __isl_give PW
*FN(PW
,intersect_params
)(__isl_take PW
*pw
,
873 __isl_take isl_set
*context
)
875 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
876 &FN(PW
,intersect_params_aligned
));
879 /* Subtract "domain' from the domain of "pw", assuming their
880 * parameters have been aligned.
882 static __isl_give PW
*FN(PW
,subtract_domain_aligned
)(__isl_take PW
*pw
,
883 __isl_take isl_set
*domain
)
885 return FN(PW
,restrict_domain_aligned
)(pw
, domain
, &isl_set_subtract
);
888 /* Subtract "domain' from the domain of "pw".
890 __isl_give PW
*FN(PW
,subtract_domain
)(__isl_take PW
*pw
,
891 __isl_take isl_set
*domain
)
893 return FN(PW
,align_params_pw_set_and
)(pw
, domain
,
894 &FN(PW
,subtract_domain_aligned
));
897 /* Compute the gist of "pw" with respect to the domain constraints
898 * of "context" for the case where the domain of the last element
899 * of "pw" is equal to "context".
900 * Call "fn_el" to compute the gist of this element, replace
901 * its domain by the universe and drop all other elements
902 * as their domains are necessarily disjoint from "context".
904 static __isl_give PW
*FN(PW
,gist_last
)(__isl_take PW
*pw
,
905 __isl_take isl_set
*context
,
906 __isl_give EL
*(*fn_el
)(__isl_take EL
*el
, __isl_take isl_set
*set
))
911 for (i
= 0; i
< pw
->n
- 1; ++i
) {
912 isl_set_free(pw
->p
[i
].set
);
913 FN(EL
,free
)(pw
->p
[i
].FIELD
);
915 pw
->p
[0].FIELD
= pw
->p
[pw
->n
- 1].FIELD
;
916 pw
->p
[0].set
= pw
->p
[pw
->n
- 1].set
;
919 space
= isl_set_get_space(context
);
920 pw
->p
[0].FIELD
= fn_el(pw
->p
[0].FIELD
, context
);
921 context
= isl_set_universe(space
);
922 isl_set_free(pw
->p
[0].set
);
923 pw
->p
[0].set
= context
;
925 if (!pw
->p
[0].FIELD
|| !pw
->p
[0].set
)
926 return FN(PW
,free
)(pw
);
931 /* Compute the gist of "pw" with respect to the domain constraints
932 * of "context". Call "fn_el" to compute the gist of the elements
933 * and "fn_dom" to compute the gist of the domains.
935 * If the piecewise expression is empty or the context is the universe,
936 * then nothing can be simplified.
938 static __isl_give PW
*FN(PW
,gist_aligned
)(__isl_take PW
*pw
,
939 __isl_take isl_set
*context
,
940 __isl_give EL
*(*fn_el
)(__isl_take EL
*el
,
941 __isl_take isl_set
*set
),
942 __isl_give isl_set
*(*fn_dom
)(__isl_take isl_set
*set
,
943 __isl_take isl_basic_set
*bset
))
948 isl_basic_set
*hull
= NULL
;
954 isl_set_free(context
);
958 is_universe
= isl_set_plain_is_universe(context
);
962 isl_set_free(context
);
966 aligned
= isl_set_space_has_equal_params(context
, pw
->dim
);
970 pw
= FN(PW
,align_params
)(pw
, isl_set_get_space(context
));
971 context
= isl_set_align_params(context
, FN(PW
,get_space
)(pw
));
981 equal
= isl_set_plain_is_equal(pw
->p
[0].set
, context
);
985 return FN(PW
,gist_last
)(pw
, context
, fn_el
);
988 context
= isl_set_compute_divs(context
);
989 hull
= isl_set_simple_hull(isl_set_copy(context
));
991 for (i
= pw
->n
- 1; i
>= 0; --i
) {
995 if (i
== pw
->n
- 1) {
997 equal
= isl_set_plain_is_equal(pw
->p
[i
].set
, context
);
1001 isl_basic_set_free(hull
);
1002 return FN(PW
,gist_last
)(pw
, context
, fn_el
);
1005 set_i
= isl_set_intersect(isl_set_copy(pw
->p
[i
].set
),
1006 isl_set_copy(context
));
1007 empty
= isl_set_plain_is_empty(set_i
);
1008 pw
->p
[i
].FIELD
= fn_el(pw
->p
[i
].FIELD
, set_i
);
1009 pw
->p
[i
].set
= fn_dom(pw
->p
[i
].set
, isl_basic_set_copy(hull
));
1010 if (empty
< 0 || !pw
->p
[i
].FIELD
|| !pw
->p
[i
].set
)
1013 isl_set_free(pw
->p
[i
].set
);
1014 FN(EL
,free
)(pw
->p
[i
].FIELD
);
1016 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
1021 isl_basic_set_free(hull
);
1022 isl_set_free(context
);
1027 isl_basic_set_free(hull
);
1028 isl_set_free(context
);
1032 static __isl_give PW
*FN(PW
,gist_domain_aligned
)(__isl_take PW
*pw
,
1033 __isl_take isl_set
*set
)
1035 return FN(PW
,gist_aligned
)(pw
, set
, &FN(EL
,gist
),
1036 &isl_set_gist_basic_set
);
1039 __isl_give PW
*FN(PW
,gist
)(__isl_take PW
*pw
, __isl_take isl_set
*context
)
1041 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
1042 &FN(PW
,gist_domain_aligned
));
1045 static __isl_give PW
*FN(PW
,gist_params_aligned
)(__isl_take PW
*pw
,
1046 __isl_take isl_set
*set
)
1048 return FN(PW
,gist_aligned
)(pw
, set
, &FN(EL
,gist_params
),
1049 &isl_set_gist_params_basic_set
);
1052 __isl_give PW
*FN(PW
,gist_params
)(__isl_take PW
*pw
,
1053 __isl_take isl_set
*context
)
1055 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
1056 &FN(PW
,gist_params_aligned
));
1059 /* Return -1 if the piece "p1" should be sorted before "p2"
1060 * and 1 if it should be sorted after "p2".
1061 * Return 0 if they do not need to be sorted in a specific order.
1063 * The two pieces are compared on the basis of their function value expressions.
1065 static int FN(PW
,sort_field_cmp
)(const void *p1
, const void *p2
, void *arg
)
1067 struct FN(PW
,piece
) const *pc1
= p1
;
1068 struct FN(PW
,piece
) const *pc2
= p2
;
1070 return FN(EL
,plain_cmp
)(pc1
->FIELD
, pc2
->FIELD
);
1073 /* Sort the pieces of "pw" according to their function value
1074 * expressions and then combine pairs of adjacent pieces with
1075 * the same such expression.
1077 * The sorting is performed in place because it does not
1078 * change the meaning of "pw", but care needs to be
1079 * taken not to change any possible other copies of "pw"
1080 * in case anything goes wrong.
1082 __isl_give PW
*FN(PW
,sort
)(__isl_take PW
*pw
)
1091 if (isl_sort(pw
->p
, pw
->n
, sizeof(pw
->p
[0]),
1092 &FN(PW
,sort_field_cmp
), NULL
) < 0)
1093 return FN(PW
,free
)(pw
);
1094 for (i
= pw
->n
- 1; i
>= 1; --i
) {
1095 if (!FN(EL
,plain_is_equal
)(pw
->p
[i
- 1].FIELD
, pw
->p
[i
].FIELD
))
1097 set
= isl_set_union(isl_set_copy(pw
->p
[i
- 1].set
),
1098 isl_set_copy(pw
->p
[i
].set
));
1100 return FN(PW
,free
)(pw
);
1101 isl_set_free(pw
->p
[i
].set
);
1102 FN(EL
,free
)(pw
->p
[i
].FIELD
);
1103 isl_set_free(pw
->p
[i
- 1].set
);
1104 pw
->p
[i
- 1].set
= set
;
1105 for (j
= i
+ 1; j
< pw
->n
; ++j
)
1106 pw
->p
[j
- 1] = pw
->p
[j
];
1113 /* Coalesce the domains of "pw".
1115 * Prior to the actual coalescing, first sort the pieces such that
1116 * pieces with the same function value expression are combined
1117 * into a single piece, the combined domain of which can then
1120 __isl_give PW
*FN(PW
,coalesce
)(__isl_take PW
*pw
)
1124 pw
= FN(PW
,sort
)(pw
);
1128 for (i
= 0; i
< pw
->n
; ++i
) {
1129 pw
->p
[i
].set
= isl_set_coalesce(pw
->p
[i
].set
);
1140 isl_ctx
*FN(PW
,get_ctx
)(__isl_keep PW
*pw
)
1142 return pw
? isl_space_get_ctx(pw
->dim
) : NULL
;
1145 isl_bool
FN(PW
,involves_dims
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
1146 unsigned first
, unsigned n
)
1149 enum isl_dim_type set_type
;
1152 return isl_bool_error
;
1153 if (pw
->n
== 0 || n
== 0)
1154 return isl_bool_false
;
1156 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1158 for (i
= 0; i
< pw
->n
; ++i
) {
1159 isl_bool involves
= FN(EL
,involves_dims
)(pw
->p
[i
].FIELD
,
1161 if (involves
< 0 || involves
)
1163 involves
= isl_set_involves_dims(pw
->p
[i
].set
,
1164 set_type
, first
, n
);
1165 if (involves
< 0 || involves
)
1168 return isl_bool_false
;
1171 __isl_give PW
*FN(PW
,set_dim_name
)(__isl_take PW
*pw
,
1172 enum isl_dim_type type
, unsigned pos
, const char *s
)
1175 enum isl_dim_type set_type
;
1177 pw
= FN(PW
,cow
)(pw
);
1181 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1183 pw
->dim
= isl_space_set_dim_name(pw
->dim
, type
, pos
, s
);
1187 for (i
= 0; i
< pw
->n
; ++i
) {
1188 pw
->p
[i
].set
= isl_set_set_dim_name(pw
->p
[i
].set
,
1192 pw
->p
[i
].FIELD
= FN(EL
,set_dim_name
)(pw
->p
[i
].FIELD
, type
, pos
, s
);
1193 if (!pw
->p
[i
].FIELD
)
1203 __isl_give PW
*FN(PW
,drop_dims
)(__isl_take PW
*pw
,
1204 enum isl_dim_type type
, unsigned first
, unsigned n
)
1207 enum isl_dim_type set_type
;
1211 if (n
== 0 && !isl_space_get_tuple_name(pw
->dim
, type
))
1214 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1216 pw
= FN(PW
,cow
)(pw
);
1219 pw
->dim
= isl_space_drop_dims(pw
->dim
, type
, first
, n
);
1222 for (i
= 0; i
< pw
->n
; ++i
) {
1223 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
1224 if (!pw
->p
[i
].FIELD
)
1226 if (type
== isl_dim_out
)
1228 pw
->p
[i
].set
= isl_set_drop(pw
->p
[i
].set
, set_type
, first
, n
);
1239 /* This function is very similar to drop_dims.
1240 * The only difference is that the cells may still involve
1241 * the specified dimensions. They are removed using
1242 * isl_set_project_out instead of isl_set_drop.
1244 __isl_give PW
*FN(PW
,project_out
)(__isl_take PW
*pw
,
1245 enum isl_dim_type type
, unsigned first
, unsigned n
)
1248 enum isl_dim_type set_type
;
1252 if (n
== 0 && !isl_space_get_tuple_name(pw
->dim
, type
))
1255 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1257 pw
= FN(PW
,cow
)(pw
);
1260 pw
->dim
= isl_space_drop_dims(pw
->dim
, type
, first
, n
);
1263 for (i
= 0; i
< pw
->n
; ++i
) {
1264 pw
->p
[i
].set
= isl_set_project_out(pw
->p
[i
].set
,
1265 set_type
, first
, n
);
1268 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
1269 if (!pw
->p
[i
].FIELD
)
1279 /* Project the domain of pw onto its parameter space.
1281 __isl_give PW
*FN(PW
,project_domain_on_params
)(__isl_take PW
*pw
)
1286 n
= FN(PW
,dim
)(pw
, isl_dim_in
);
1287 pw
= FN(PW
,project_out
)(pw
, isl_dim_in
, 0, n
);
1288 space
= FN(PW
,get_domain_space
)(pw
);
1289 space
= isl_space_params(space
);
1290 pw
= FN(PW
,reset_domain_space
)(pw
, space
);
1294 /* Drop all parameters not referenced by "pw".
1296 __isl_give PW
*FN(PW
,drop_unused_params
)(__isl_take PW
*pw
)
1300 if (FN(PW
,check_named_params
)(pw
) < 0)
1301 return FN(PW
,free
)(pw
);
1303 for (i
= FN(PW
,dim
)(pw
, isl_dim_param
) - 1; i
>= 0; i
--) {
1306 involves
= FN(PW
,involves_dims
)(pw
, isl_dim_param
, i
, 1);
1308 return FN(PW
,free
)(pw
);
1310 pw
= FN(PW
,drop_dims
)(pw
, isl_dim_param
, i
, 1);
1316 #ifndef NO_INSERT_DIMS
1317 __isl_give PW
*FN(PW
,insert_dims
)(__isl_take PW
*pw
, enum isl_dim_type type
,
1318 unsigned first
, unsigned n
)
1321 enum isl_dim_type set_type
;
1325 if (n
== 0 && !isl_space_is_named_or_nested(pw
->dim
, type
))
1328 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1330 pw
= FN(PW
,cow
)(pw
);
1334 pw
->dim
= isl_space_insert_dims(pw
->dim
, type
, first
, n
);
1338 for (i
= 0; i
< pw
->n
; ++i
) {
1339 pw
->p
[i
].set
= isl_set_insert_dims(pw
->p
[i
].set
,
1340 set_type
, first
, n
);
1343 pw
->p
[i
].FIELD
= FN(EL
,insert_dims
)(pw
->p
[i
].FIELD
,
1345 if (!pw
->p
[i
].FIELD
)
1356 __isl_give PW
*FN(PW
,fix_dim
)(__isl_take PW
*pw
,
1357 enum isl_dim_type type
, unsigned pos
, isl_int v
)
1364 if (type
== isl_dim_in
)
1367 pw
= FN(PW
,cow
)(pw
);
1370 for (i
= 0; i
< pw
->n
; ++i
) {
1371 pw
->p
[i
].set
= isl_set_fix(pw
->p
[i
].set
, type
, pos
, v
);
1372 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
1373 return FN(PW
,free
)(pw
);
1379 /* Fix the value of the variable at position "pos" of type "type" of "pw"
1380 * to be equal to "v".
1382 __isl_give PW
*FN(PW
,fix_val
)(__isl_take PW
*pw
,
1383 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*v
)
1386 return FN(PW
,free
)(pw
);
1387 if (!isl_val_is_int(v
))
1388 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
1389 "expecting integer value", goto error
);
1391 pw
= FN(PW
,fix_dim
)(pw
, type
, pos
, v
->n
);
1397 return FN(PW
,free
)(pw
);
1400 unsigned FN(PW
,dim
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
1402 return pw
? isl_space_dim(pw
->dim
, type
) : 0;
1405 __isl_give PW
*FN(PW
,split_dims
)(__isl_take PW
*pw
,
1406 enum isl_dim_type type
, unsigned first
, unsigned n
)
1415 if (type
== isl_dim_in
)
1418 pw
= FN(PW
,cow
)(pw
);
1423 for (i
= 0; i
< pw
->n
; ++i
) {
1424 pw
->p
[i
].set
= isl_set_split_dims(pw
->p
[i
].set
, type
, first
, n
);
1436 /* Compute the maximal value attained by the piecewise quasipolynomial
1437 * on its domain or zero if the domain is empty.
1438 * In the worst case, the domain is scanned completely,
1439 * so the domain is assumed to be bounded.
1441 __isl_give isl_val
*FN(PW
,opt
)(__isl_take PW
*pw
, int max
)
1450 opt
= isl_val_zero(FN(PW
,get_ctx
)(pw
));
1455 opt
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[0].FIELD
),
1456 isl_set_copy(pw
->p
[0].set
), max
);
1457 for (i
= 1; i
< pw
->n
; ++i
) {
1459 opt_i
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
1460 isl_set_copy(pw
->p
[i
].set
), max
);
1462 opt
= isl_val_max(opt
, opt_i
);
1464 opt
= isl_val_min(opt
, opt_i
);
1471 __isl_give isl_val
*FN(PW
,max
)(__isl_take PW
*pw
)
1473 return FN(PW
,opt
)(pw
, 1);
1476 __isl_give isl_val
*FN(PW
,min
)(__isl_take PW
*pw
)
1478 return FN(PW
,opt
)(pw
, 0);
1482 /* Return the space of "pw".
1484 __isl_keep isl_space
*FN(PW
,peek_space
)(__isl_keep PW
*pw
)
1486 return pw
? pw
->dim
: NULL
;
1489 __isl_give isl_space
*FN(PW
,get_space
)(__isl_keep PW
*pw
)
1491 return isl_space_copy(FN(PW
,peek_space
)(pw
));
1494 __isl_give isl_space
*FN(PW
,get_domain_space
)(__isl_keep PW
*pw
)
1496 return pw
? isl_space_domain(isl_space_copy(pw
->dim
)) : NULL
;
1499 /* Return the position of the dimension of the given type and name
1501 * Return -1 if no such dimension can be found.
1503 int FN(PW
,find_dim_by_name
)(__isl_keep PW
*pw
,
1504 enum isl_dim_type type
, const char *name
)
1508 return isl_space_find_dim_by_name(pw
->dim
, type
, name
);
1511 #ifndef NO_RESET_DIM
1512 /* Reset the space of "pw". Since we don't know if the elements
1513 * represent the spaces themselves or their domains, we pass along
1514 * both when we call their reset_space_and_domain.
1516 static __isl_give PW
*FN(PW
,reset_space_and_domain
)(__isl_take PW
*pw
,
1517 __isl_take isl_space
*space
, __isl_take isl_space
*domain
)
1521 pw
= FN(PW
,cow
)(pw
);
1522 if (!pw
|| !space
|| !domain
)
1525 for (i
= 0; i
< pw
->n
; ++i
) {
1526 pw
->p
[i
].set
= isl_set_reset_space(pw
->p
[i
].set
,
1527 isl_space_copy(domain
));
1530 pw
->p
[i
].FIELD
= FN(EL
,reset_space_and_domain
)(pw
->p
[i
].FIELD
,
1531 isl_space_copy(space
), isl_space_copy(domain
));
1532 if (!pw
->p
[i
].FIELD
)
1536 isl_space_free(domain
);
1538 isl_space_free(pw
->dim
);
1543 isl_space_free(domain
);
1544 isl_space_free(space
);
1549 __isl_give PW
*FN(PW
,reset_domain_space
)(__isl_take PW
*pw
,
1550 __isl_take isl_space
*domain
)
1554 space
= isl_space_extend_domain_with_range(isl_space_copy(domain
),
1555 FN(PW
,get_space
)(pw
));
1556 return FN(PW
,reset_space_and_domain
)(pw
, space
, domain
);
1559 __isl_give PW
*FN(PW
,reset_space
)(__isl_take PW
*pw
, __isl_take isl_space
*dim
)
1563 domain
= isl_space_domain(isl_space_copy(dim
));
1564 return FN(PW
,reset_space_and_domain
)(pw
, dim
, domain
);
1567 __isl_give PW
*FN(PW
,set_tuple_id
)(__isl_take PW
*pw
, enum isl_dim_type type
,
1568 __isl_take isl_id
*id
)
1572 pw
= FN(PW
,cow
)(pw
);
1576 space
= FN(PW
,get_space
)(pw
);
1577 space
= isl_space_set_tuple_id(space
, type
, id
);
1579 return FN(PW
,reset_space
)(pw
, space
);
1582 return FN(PW
,free
)(pw
);
1585 /* Drop the id on the specified tuple.
1587 __isl_give PW
*FN(PW
,reset_tuple_id
)(__isl_take PW
*pw
, enum isl_dim_type type
)
1593 if (!FN(PW
,has_tuple_id
)(pw
, type
))
1596 pw
= FN(PW
,cow
)(pw
);
1600 space
= FN(PW
,get_space
)(pw
);
1601 space
= isl_space_reset_tuple_id(space
, type
);
1603 return FN(PW
,reset_space
)(pw
, space
);
1606 __isl_give PW
*FN(PW
,set_dim_id
)(__isl_take PW
*pw
,
1607 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
1609 pw
= FN(PW
,cow
)(pw
);
1612 pw
->dim
= isl_space_set_dim_id(pw
->dim
, type
, pos
, id
);
1613 return FN(PW
,reset_space
)(pw
, isl_space_copy(pw
->dim
));
1616 return FN(PW
,free
)(pw
);
1620 /* Reset the user pointer on all identifiers of parameters and tuples
1621 * of the space of "pw".
1623 __isl_give PW
*FN(PW
,reset_user
)(__isl_take PW
*pw
)
1627 space
= FN(PW
,get_space
)(pw
);
1628 space
= isl_space_reset_user(space
);
1630 return FN(PW
,reset_space
)(pw
, space
);
1633 isl_bool
FN(PW
,has_equal_space
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
1636 return isl_bool_error
;
1638 return isl_space_is_equal(pw1
->dim
, pw2
->dim
);
1642 __isl_give PW
*FN(PW
,morph_domain
)(__isl_take PW
*pw
,
1643 __isl_take isl_morph
*morph
)
1651 ctx
= isl_space_get_ctx(pw
->dim
);
1652 isl_assert(ctx
, isl_space_is_domain_internal(morph
->dom
->dim
, pw
->dim
),
1655 pw
= FN(PW
,cow
)(pw
);
1658 pw
->dim
= isl_space_extend_domain_with_range(
1659 isl_space_copy(morph
->ran
->dim
), pw
->dim
);
1663 for (i
= 0; i
< pw
->n
; ++i
) {
1664 pw
->p
[i
].set
= isl_morph_set(isl_morph_copy(morph
), pw
->p
[i
].set
);
1667 pw
->p
[i
].FIELD
= FN(EL
,morph_domain
)(pw
->p
[i
].FIELD
,
1668 isl_morph_copy(morph
));
1669 if (!pw
->p
[i
].FIELD
)
1673 isl_morph_free(morph
);
1678 isl_morph_free(morph
);
1683 int FN(PW
,n_piece
)(__isl_keep PW
*pw
)
1685 return pw
? pw
->n
: 0;
1688 isl_stat
FN(PW
,foreach_piece
)(__isl_keep PW
*pw
,
1689 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
, void *user
),
1695 return isl_stat_error
;
1697 for (i
= 0; i
< pw
->n
; ++i
)
1698 if (fn(isl_set_copy(pw
->p
[i
].set
),
1699 FN(EL
,copy
)(pw
->p
[i
].FIELD
), user
) < 0)
1700 return isl_stat_error
;
1706 static isl_bool
any_divs(__isl_keep isl_set
*set
)
1711 return isl_bool_error
;
1713 for (i
= 0; i
< set
->n
; ++i
)
1714 if (set
->p
[i
]->n_div
> 0)
1715 return isl_bool_true
;
1717 return isl_bool_false
;
1720 static isl_stat
foreach_lifted_subset(__isl_take isl_set
*set
,
1722 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
1723 void *user
), void *user
)
1730 for (i
= 0; i
< set
->n
; ++i
) {
1734 lift
= isl_set_from_basic_set(isl_basic_set_copy(set
->p
[i
]));
1735 lift
= isl_set_lift(lift
);
1737 copy
= FN(EL
,copy
)(el
);
1738 copy
= FN(EL
,lift
)(copy
, isl_set_get_space(lift
));
1740 if (fn(lift
, copy
, user
) < 0)
1751 return isl_stat_error
;
1754 isl_stat
FN(PW
,foreach_lifted_piece
)(__isl_keep PW
*pw
,
1755 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
1756 void *user
), void *user
)
1761 return isl_stat_error
;
1763 for (i
= 0; i
< pw
->n
; ++i
) {
1768 any
= any_divs(pw
->p
[i
].set
);
1770 return isl_stat_error
;
1771 set
= isl_set_copy(pw
->p
[i
].set
);
1772 el
= FN(EL
,copy
)(pw
->p
[i
].FIELD
);
1774 if (fn(set
, el
, user
) < 0)
1775 return isl_stat_error
;
1778 if (foreach_lifted_subset(set
, el
, fn
, user
) < 0)
1779 return isl_stat_error
;
1786 #ifndef NO_MOVE_DIMS
1787 __isl_give PW
*FN(PW
,move_dims
)(__isl_take PW
*pw
,
1788 enum isl_dim_type dst_type
, unsigned dst_pos
,
1789 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
1793 pw
= FN(PW
,cow
)(pw
);
1797 pw
->dim
= isl_space_move_dims(pw
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
1801 for (i
= 0; i
< pw
->n
; ++i
) {
1802 pw
->p
[i
].FIELD
= FN(EL
,move_dims
)(pw
->p
[i
].FIELD
,
1803 dst_type
, dst_pos
, src_type
, src_pos
, n
);
1804 if (!pw
->p
[i
].FIELD
)
1808 if (dst_type
== isl_dim_in
)
1809 dst_type
= isl_dim_set
;
1810 if (src_type
== isl_dim_in
)
1811 src_type
= isl_dim_set
;
1813 for (i
= 0; i
< pw
->n
; ++i
) {
1814 pw
->p
[i
].set
= isl_set_move_dims(pw
->p
[i
].set
,
1816 src_type
, src_pos
, n
);
1828 __isl_give PW
*FN(PW
,mul_isl_int
)(__isl_take PW
*pw
, isl_int v
)
1832 if (isl_int_is_one(v
))
1834 if (pw
&& DEFAULT_IS_ZERO
&& isl_int_is_zero(v
)) {
1836 isl_space
*dim
= FN(PW
,get_space
)(pw
);
1838 zero
= FN(PW
,ZERO
)(dim
, pw
->type
);
1840 zero
= FN(PW
,ZERO
)(dim
);
1845 pw
= FN(PW
,cow
)(pw
);
1852 if (isl_int_is_neg(v
))
1853 pw
->type
= isl_fold_type_negate(pw
->type
);
1855 for (i
= 0; i
< pw
->n
; ++i
) {
1856 pw
->p
[i
].FIELD
= FN(EL
,scale
)(pw
->p
[i
].FIELD
, v
);
1857 if (!pw
->p
[i
].FIELD
)
1867 /* Multiply the pieces of "pw" by "v" and return the result.
1869 __isl_give PW
*FN(PW
,scale_val
)(__isl_take PW
*pw
, __isl_take isl_val
*v
)
1876 if (isl_val_is_one(v
)) {
1880 if (pw
&& DEFAULT_IS_ZERO
&& isl_val_is_zero(v
)) {
1882 isl_space
*space
= FN(PW
,get_space
)(pw
);
1884 zero
= FN(PW
,ZERO
)(space
, pw
->type
);
1886 zero
= FN(PW
,ZERO
)(space
);
1896 pw
= FN(PW
,cow
)(pw
);
1901 if (isl_val_is_neg(v
))
1902 pw
->type
= isl_fold_type_negate(pw
->type
);
1904 for (i
= 0; i
< pw
->n
; ++i
) {
1905 pw
->p
[i
].FIELD
= FN(EL
,scale_val
)(pw
->p
[i
].FIELD
,
1907 if (!pw
->p
[i
].FIELD
)
1919 /* Divide the pieces of "pw" by "v" and return the result.
1921 __isl_give PW
*FN(PW
,scale_down_val
)(__isl_take PW
*pw
, __isl_take isl_val
*v
)
1928 if (isl_val_is_one(v
)) {
1933 if (!isl_val_is_rat(v
))
1934 isl_die(isl_val_get_ctx(v
), isl_error_invalid
,
1935 "expecting rational factor", goto error
);
1936 if (isl_val_is_zero(v
))
1937 isl_die(isl_val_get_ctx(v
), isl_error_invalid
,
1938 "cannot scale down by zero", goto error
);
1944 pw
= FN(PW
,cow
)(pw
);
1949 if (isl_val_is_neg(v
))
1950 pw
->type
= isl_fold_type_negate(pw
->type
);
1952 for (i
= 0; i
< pw
->n
; ++i
) {
1953 pw
->p
[i
].FIELD
= FN(EL
,scale_down_val
)(pw
->p
[i
].FIELD
,
1955 if (!pw
->p
[i
].FIELD
)
1967 __isl_give PW
*FN(PW
,scale
)(__isl_take PW
*pw
, isl_int v
)
1969 return FN(PW
,mul_isl_int
)(pw
, v
);
1972 /* Apply some normalization to "pw".
1973 * In particular, sort the pieces according to their function value
1974 * expressions, combining pairs of adjacent pieces with
1975 * the same such expression, and then normalize the domains of the pieces.
1977 * We normalize in place, but if anything goes wrong we need
1978 * to return NULL, so we need to make sure we don't change the
1979 * meaning of any possible other copies of "pw".
1981 __isl_give PW
*FN(PW
,normalize
)(__isl_take PW
*pw
)
1986 pw
= FN(PW
,sort
)(pw
);
1989 for (i
= 0; i
< pw
->n
; ++i
) {
1990 set
= isl_set_normalize(isl_set_copy(pw
->p
[i
].set
));
1992 return FN(PW
,free
)(pw
);
1993 isl_set_free(pw
->p
[i
].set
);
2000 /* Is pw1 obviously equal to pw2?
2001 * That is, do they have obviously identical cells and obviously identical
2002 * elements on each cell?
2004 * If "pw1" or "pw2" contain any NaNs, then they are considered
2005 * not to be the same. A NaN is not equal to anything, not even
2008 isl_bool
FN(PW
,plain_is_equal
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
2011 isl_bool equal
, has_nan
;
2014 return isl_bool_error
;
2016 has_nan
= FN(PW
,involves_nan
)(pw1
);
2017 if (has_nan
>= 0 && !has_nan
)
2018 has_nan
= FN(PW
,involves_nan
)(pw2
);
2019 if (has_nan
< 0 || has_nan
)
2020 return isl_bool_not(has_nan
);
2023 return isl_bool_true
;
2024 if (!isl_space_is_equal(pw1
->dim
, pw2
->dim
))
2025 return isl_bool_false
;
2027 pw1
= FN(PW
,copy
)(pw1
);
2028 pw2
= FN(PW
,copy
)(pw2
);
2029 pw1
= FN(PW
,normalize
)(pw1
);
2030 pw2
= FN(PW
,normalize
)(pw2
);
2034 equal
= pw1
->n
== pw2
->n
;
2035 for (i
= 0; equal
&& i
< pw1
->n
; ++i
) {
2036 equal
= isl_set_plain_is_equal(pw1
->p
[i
].set
, pw2
->p
[i
].set
);
2041 equal
= FN(EL
,plain_is_equal
)(pw1
->p
[i
].FIELD
, pw2
->p
[i
].FIELD
);
2052 return isl_bool_error
;
2055 /* Does "pw" involve any NaNs?
2057 isl_bool
FN(PW
,involves_nan
)(__isl_keep PW
*pw
)
2062 return isl_bool_error
;
2064 return isl_bool_false
;
2066 for (i
= 0; i
< pw
->n
; ++i
) {
2067 isl_bool has_nan
= FN(EL
,involves_nan
)(pw
->p
[i
].FIELD
);
2068 if (has_nan
< 0 || has_nan
)
2072 return isl_bool_false
;
2076 static __isl_give PW
*FN(PW
,align_params_pw_multi_aff_and
)(__isl_take PW
*pw
,
2077 __isl_take isl_multi_aff
*ma
,
2078 __isl_give PW
*(*fn
)(__isl_take PW
*pw
, __isl_take isl_multi_aff
*ma
))
2081 isl_bool equal_params
;
2082 isl_space
*ma_space
;
2084 ma_space
= isl_multi_aff_get_space(ma
);
2085 if (!pw
|| !ma
|| !ma_space
)
2087 equal_params
= isl_space_has_equal_params(pw
->dim
, ma_space
);
2088 if (equal_params
< 0)
2091 isl_space_free(ma_space
);
2094 ctx
= FN(PW
,get_ctx
)(pw
);
2095 if (FN(PW
,check_named_params
)(pw
) < 0)
2097 if (!isl_space_has_named_params(ma_space
))
2098 isl_die(ctx
, isl_error_invalid
,
2099 "unaligned unnamed parameters", goto error
);
2100 pw
= FN(PW
,align_params
)(pw
, ma_space
);
2101 ma
= isl_multi_aff_align_params(ma
, FN(PW
,get_space
)(pw
));
2104 isl_space_free(ma_space
);
2106 isl_multi_aff_free(ma
);
2110 static __isl_give PW
*FN(PW
,align_params_pw_pw_multi_aff_and
)(__isl_take PW
*pw
,
2111 __isl_take isl_pw_multi_aff
*pma
,
2112 __isl_give PW
*(*fn
)(__isl_take PW
*pw
,
2113 __isl_take isl_pw_multi_aff
*ma
))
2115 isl_bool equal_params
;
2116 isl_space
*pma_space
;
2118 pma_space
= isl_pw_multi_aff_get_space(pma
);
2119 if (!pw
|| !pma
|| !pma_space
)
2121 equal_params
= isl_space_has_equal_params(pw
->dim
, pma_space
);
2122 if (equal_params
< 0)
2125 isl_space_free(pma_space
);
2128 if (FN(PW
,check_named_params
)(pw
) < 0 ||
2129 isl_pw_multi_aff_check_named_params(pma
) < 0)
2131 pw
= FN(PW
,align_params
)(pw
, pma_space
);
2132 pma
= isl_pw_multi_aff_align_params(pma
, FN(PW
,get_space
)(pw
));
2135 isl_space_free(pma_space
);
2137 isl_pw_multi_aff_free(pma
);
2141 /* Compute the pullback of "pw" by the function represented by "ma".
2142 * In other words, plug in "ma" in "pw".
2144 static __isl_give PW
*FN(PW
,pullback_multi_aff_aligned
)(__isl_take PW
*pw
,
2145 __isl_take isl_multi_aff
*ma
)
2148 isl_space
*space
= NULL
;
2150 ma
= isl_multi_aff_align_divs(ma
);
2151 pw
= FN(PW
,cow
)(pw
);
2155 space
= isl_space_join(isl_multi_aff_get_space(ma
),
2156 FN(PW
,get_space
)(pw
));
2158 for (i
= 0; i
< pw
->n
; ++i
) {
2159 pw
->p
[i
].set
= isl_set_preimage_multi_aff(pw
->p
[i
].set
,
2160 isl_multi_aff_copy(ma
));
2163 pw
->p
[i
].FIELD
= FN(EL
,pullback_multi_aff
)(pw
->p
[i
].FIELD
,
2164 isl_multi_aff_copy(ma
));
2165 if (!pw
->p
[i
].FIELD
)
2169 pw
= FN(PW
,reset_space
)(pw
, space
);
2170 isl_multi_aff_free(ma
);
2173 isl_space_free(space
);
2174 isl_multi_aff_free(ma
);
2179 __isl_give PW
*FN(PW
,pullback_multi_aff
)(__isl_take PW
*pw
,
2180 __isl_take isl_multi_aff
*ma
)
2182 return FN(PW
,align_params_pw_multi_aff_and
)(pw
, ma
,
2183 &FN(PW
,pullback_multi_aff_aligned
));
2186 /* Compute the pullback of "pw" by the function represented by "pma".
2187 * In other words, plug in "pma" in "pw".
2189 static __isl_give PW
*FN(PW
,pullback_pw_multi_aff_aligned
)(__isl_take PW
*pw
,
2190 __isl_take isl_pw_multi_aff
*pma
)
2200 space
= isl_space_join(isl_pw_multi_aff_get_space(pma
),
2201 FN(PW
,get_space
)(pw
));
2202 isl_pw_multi_aff_free(pma
);
2203 res
= FN(PW
,empty
)(space
);
2208 res
= FN(PW
,pullback_multi_aff
)(FN(PW
,copy
)(pw
),
2209 isl_multi_aff_copy(pma
->p
[0].maff
));
2210 res
= FN(PW
,intersect_domain
)(res
, isl_set_copy(pma
->p
[0].set
));
2212 for (i
= 1; i
< pma
->n
; ++i
) {
2215 res_i
= FN(PW
,pullback_multi_aff
)(FN(PW
,copy
)(pw
),
2216 isl_multi_aff_copy(pma
->p
[i
].maff
));
2217 res_i
= FN(PW
,intersect_domain
)(res_i
,
2218 isl_set_copy(pma
->p
[i
].set
));
2219 res
= FN(PW
,add_disjoint
)(res
, res_i
);
2222 isl_pw_multi_aff_free(pma
);
2226 isl_pw_multi_aff_free(pma
);
2231 __isl_give PW
*FN(PW
,pullback_pw_multi_aff
)(__isl_take PW
*pw
,
2232 __isl_take isl_pw_multi_aff
*pma
)
2234 return FN(PW
,align_params_pw_pw_multi_aff_and
)(pw
, pma
,
2235 &FN(PW
,pullback_pw_multi_aff_aligned
));