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
16 #include <isl_val_private.h>
18 #include <isl_pw_macro.h>
21 __isl_give PW
*FN(PW
,alloc_size
)(__isl_take isl_space
*dim
,
22 enum isl_fold type
, int n
)
24 __isl_give PW
*FN(PW
,alloc_size
)(__isl_take isl_space
*dim
, int n
)
32 ctx
= isl_space_get_ctx(dim
);
33 isl_assert(ctx
, n
>= 0, goto error
);
34 pw
= isl_alloc(ctx
, struct PW
,
35 sizeof(struct PW
) + (n
- 1) * sizeof(S(PW
,piece
)));
53 __isl_give PW
*FN(PW
,ZERO
)(__isl_take isl_space
*dim
, enum isl_fold type
)
55 return FN(PW
,alloc_size
)(dim
, type
, 0);
58 __isl_give PW
*FN(PW
,ZERO
)(__isl_take isl_space
*dim
)
60 return FN(PW
,alloc_size
)(dim
, 0);
64 __isl_give PW
*FN(PW
,add_piece
)(__isl_take PW
*pw
,
65 __isl_take isl_set
*set
, __isl_take EL
*el
)
68 isl_space
*el_dim
= NULL
;
70 if (!pw
|| !set
|| !el
)
73 if (isl_set_plain_is_empty(set
) || FN(EL
,EL_IS_ZERO
)(el
)) {
79 ctx
= isl_set_get_ctx(set
);
81 if (pw
->type
!= el
->type
)
82 isl_die(ctx
, isl_error_invalid
, "fold types don't match",
85 el_dim
= FN(EL
,get_space(el
));
86 isl_assert(ctx
, isl_space_is_equal(pw
->dim
, el_dim
), goto error
);
87 isl_assert(ctx
, pw
->n
< pw
->size
, goto error
);
89 pw
->p
[pw
->n
].set
= set
;
90 pw
->p
[pw
->n
].FIELD
= el
;
93 isl_space_free(el_dim
);
96 isl_space_free(el_dim
);
103 /* Does the space of "set" correspond to that of the domain of "el".
105 static isl_bool
FN(PW
,compatible_domain
)(__isl_keep EL
*el
,
106 __isl_keep isl_set
*set
)
109 isl_space
*el_space
, *set_space
;
112 return isl_bool_error
;
113 set_space
= isl_set_get_space(set
);
114 el_space
= FN(EL
,get_space
)(el
);
115 ok
= isl_space_is_domain_internal(set_space
, el_space
);
116 isl_space_free(el_space
);
117 isl_space_free(set_space
);
121 /* Check that the space of "set" corresponds to that of the domain of "el".
123 static isl_stat
FN(PW
,check_compatible_domain
)(__isl_keep EL
*el
,
124 __isl_keep isl_set
*set
)
128 ok
= FN(PW
,compatible_domain
)(el
, set
);
130 return isl_stat_error
;
132 isl_die(isl_set_get_ctx(set
), isl_error_invalid
,
133 "incompatible spaces", return isl_stat_error
);
139 __isl_give PW
*FN(PW
,alloc
)(enum isl_fold type
,
140 __isl_take isl_set
*set
, __isl_take EL
*el
)
142 __isl_give PW
*FN(PW
,alloc
)(__isl_take isl_set
*set
, __isl_take EL
*el
)
147 if (FN(PW
,check_compatible_domain
)(el
, set
) < 0)
151 pw
= FN(PW
,alloc_size
)(FN(EL
,get_space
)(el
), type
, 1);
153 pw
= FN(PW
,alloc_size
)(FN(EL
,get_space
)(el
), 1);
156 return FN(PW
,add_piece
)(pw
, set
, el
);
163 __isl_give PW
*FN(PW
,dup
)(__isl_keep PW
*pw
)
172 dup
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), pw
->type
, pw
->n
);
174 dup
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), pw
->n
);
179 for (i
= 0; i
< pw
->n
; ++i
)
180 dup
= FN(PW
,add_piece
)(dup
, isl_set_copy(pw
->p
[i
].set
),
181 FN(EL
,copy
)(pw
->p
[i
].FIELD
));
186 __isl_give PW
*FN(PW
,cow
)(__isl_take PW
*pw
)
194 return FN(PW
,dup
)(pw
);
197 __isl_give PW
*FN(PW
,copy
)(__isl_keep PW
*pw
)
206 __isl_null PW
*FN(PW
,free
)(__isl_take PW
*pw
)
215 for (i
= 0; i
< pw
->n
; ++i
) {
216 isl_set_free(pw
->p
[i
].set
);
217 FN(EL
,free
)(pw
->p
[i
].FIELD
);
219 isl_space_free(pw
->dim
);
225 const char *FN(PW
,get_dim_name
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
228 return pw
? isl_space_get_dim_name(pw
->dim
, type
, pos
) : NULL
;
231 isl_bool
FN(PW
,has_dim_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
234 return pw
? isl_space_has_dim_id(pw
->dim
, type
, pos
) : isl_bool_error
;
237 __isl_give isl_id
*FN(PW
,get_dim_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
240 return pw
? isl_space_get_dim_id(pw
->dim
, type
, pos
) : NULL
;
243 isl_bool
FN(PW
,has_tuple_name
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
245 return pw
? isl_space_has_tuple_name(pw
->dim
, type
) : isl_bool_error
;
248 const char *FN(PW
,get_tuple_name
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
250 return pw
? isl_space_get_tuple_name(pw
->dim
, type
) : NULL
;
253 isl_bool
FN(PW
,has_tuple_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
255 return pw
? isl_space_has_tuple_id(pw
->dim
, type
) : isl_bool_error
;
258 __isl_give isl_id
*FN(PW
,get_tuple_id
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
260 return pw
? isl_space_get_tuple_id(pw
->dim
, type
) : NULL
;
263 isl_bool
FN(PW
,IS_ZERO
)(__isl_keep PW
*pw
)
266 return isl_bool_error
;
272 __isl_give PW
*FN(PW
,realign_domain
)(__isl_take PW
*pw
,
273 __isl_take isl_reordering
*exp
)
281 for (i
= 0; i
< pw
->n
; ++i
) {
282 pw
->p
[i
].set
= isl_set_realign(pw
->p
[i
].set
,
283 isl_reordering_copy(exp
));
286 pw
->p
[i
].FIELD
= FN(EL
,realign_domain
)(pw
->p
[i
].FIELD
,
287 isl_reordering_copy(exp
));
292 pw
= FN(PW
,reset_domain_space
)(pw
, isl_space_copy(exp
->dim
));
294 isl_reordering_free(exp
);
297 isl_reordering_free(exp
);
302 /* Align the parameters of "pw" to those of "model".
304 __isl_give PW
*FN(PW
,align_params
)(__isl_take PW
*pw
, __isl_take isl_space
*model
)
307 isl_bool equal_params
;
312 ctx
= isl_space_get_ctx(model
);
313 if (!isl_space_has_named_params(model
))
314 isl_die(ctx
, isl_error_invalid
,
315 "model has unnamed parameters", goto error
);
316 if (!isl_space_has_named_params(pw
->dim
))
317 isl_die(ctx
, isl_error_invalid
,
318 "input has unnamed parameters", goto error
);
319 equal_params
= isl_space_has_equal_params(pw
->dim
, model
);
320 if (equal_params
< 0)
325 model
= isl_space_drop_dims(model
, isl_dim_in
,
326 0, isl_space_dim(model
, isl_dim_in
));
327 model
= isl_space_drop_dims(model
, isl_dim_out
,
328 0, isl_space_dim(model
, isl_dim_out
));
329 exp
= isl_parameter_alignment_reordering(pw
->dim
, model
);
330 exp
= isl_reordering_extend_space(exp
,
331 FN(PW
,get_domain_space
)(pw
));
332 pw
= FN(PW
,realign_domain
)(pw
, exp
);
335 isl_space_free(model
);
338 isl_space_free(model
);
343 static __isl_give PW
*FN(PW
,align_params_pw_pw_and
)(__isl_take PW
*pw1
,
345 __isl_give PW
*(*fn
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
))
348 isl_bool equal_params
;
352 equal_params
= isl_space_has_equal_params(pw1
->dim
, pw2
->dim
);
353 if (equal_params
< 0)
357 ctx
= FN(PW
,get_ctx
)(pw1
);
358 if (!isl_space_has_named_params(pw1
->dim
) ||
359 !isl_space_has_named_params(pw2
->dim
))
360 isl_die(ctx
, isl_error_invalid
,
361 "unaligned unnamed parameters", goto error
);
362 pw1
= FN(PW
,align_params
)(pw1
, FN(PW
,get_space
)(pw2
));
363 pw2
= FN(PW
,align_params
)(pw2
, FN(PW
,get_space
)(pw1
));
371 static __isl_give PW
*FN(PW
,align_params_pw_set_and
)(__isl_take PW
*pw
,
372 __isl_take isl_set
*set
,
373 __isl_give PW
*(*fn
)(__isl_take PW
*pw
, __isl_take isl_set
*set
))
380 aligned
= isl_set_space_has_equal_params(set
, pw
->dim
);
385 ctx
= FN(PW
,get_ctx
)(pw
);
386 if (!isl_space_has_named_params(pw
->dim
) ||
387 !isl_space_has_named_params(set
->dim
))
388 isl_die(ctx
, isl_error_invalid
,
389 "unaligned unnamed parameters", goto error
);
390 pw
= FN(PW
,align_params
)(pw
, isl_set_get_space(set
));
391 set
= isl_set_align_params(set
, FN(PW
,get_space
)(pw
));
400 static __isl_give PW
*FN(PW
,union_add_aligned
)(__isl_take PW
*pw1
,
411 ctx
= isl_space_get_ctx(pw1
->dim
);
413 if (pw1
->type
!= pw2
->type
)
414 isl_die(ctx
, isl_error_invalid
,
415 "fold types don't match", goto error
);
417 isl_assert(ctx
, isl_space_is_equal(pw1
->dim
, pw2
->dim
), goto error
);
419 if (FN(PW
,IS_ZERO
)(pw1
)) {
424 if (FN(PW
,IS_ZERO
)(pw2
)) {
429 n
= (pw1
->n
+ 1) * (pw2
->n
+ 1);
431 res
= FN(PW
,alloc_size
)(isl_space_copy(pw1
->dim
), pw1
->type
, n
);
433 res
= FN(PW
,alloc_size
)(isl_space_copy(pw1
->dim
), n
);
436 for (i
= 0; i
< pw1
->n
; ++i
) {
437 set
= isl_set_copy(pw1
->p
[i
].set
);
438 for (j
= 0; j
< pw2
->n
; ++j
) {
439 struct isl_set
*common
;
441 common
= isl_set_intersect(isl_set_copy(pw1
->p
[i
].set
),
442 isl_set_copy(pw2
->p
[j
].set
));
443 if (isl_set_plain_is_empty(common
)) {
444 isl_set_free(common
);
447 set
= isl_set_subtract(set
,
448 isl_set_copy(pw2
->p
[j
].set
));
450 sum
= FN(EL
,add_on_domain
)(common
,
451 FN(EL
,copy
)(pw1
->p
[i
].FIELD
),
452 FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
454 res
= FN(PW
,add_piece
)(res
, common
, sum
);
456 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw1
->p
[i
].FIELD
));
459 for (j
= 0; j
< pw2
->n
; ++j
) {
460 set
= isl_set_copy(pw2
->p
[j
].set
);
461 for (i
= 0; i
< pw1
->n
; ++i
)
462 set
= isl_set_subtract(set
,
463 isl_set_copy(pw1
->p
[i
].set
));
464 res
= FN(PW
,add_piece
)(res
, set
, FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
477 /* Private version of "union_add". For isl_pw_qpolynomial and
478 * isl_pw_qpolynomial_fold, we prefer to simply call it "add".
480 static __isl_give PW
*FN(PW
,union_add_
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
482 return FN(PW
,align_params_pw_pw_and
)(pw1
, pw2
,
483 &FN(PW
,union_add_aligned
));
486 /* Make sure "pw" has room for at least "n" more pieces.
488 * If there is only one reference to pw, we extend it in place.
489 * Otherwise, we create a new PW and copy the pieces.
491 static __isl_give PW
*FN(PW
,grow
)(__isl_take PW
*pw
, int n
)
499 if (pw
->n
+ n
<= pw
->size
)
501 ctx
= FN(PW
,get_ctx
)(pw
);
504 res
= isl_realloc(ctx
, pw
, struct PW
,
505 sizeof(struct PW
) + (n
- 1) * sizeof(S(PW
,piece
)));
507 return FN(PW
,free
)(pw
);
512 res
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), pw
->type
, n
);
514 res
= FN(PW
,alloc_size
)(isl_space_copy(pw
->dim
), n
);
517 return FN(PW
,free
)(pw
);
518 for (i
= 0; i
< pw
->n
; ++i
)
519 res
= FN(PW
,add_piece
)(res
, isl_set_copy(pw
->p
[i
].set
),
520 FN(EL
,copy
)(pw
->p
[i
].FIELD
));
525 static __isl_give PW
*FN(PW
,add_disjoint_aligned
)(__isl_take PW
*pw1
,
534 if (pw1
->size
< pw1
->n
+ pw2
->n
&& pw1
->n
< pw2
->n
)
535 return FN(PW
,add_disjoint_aligned
)(pw2
, pw1
);
537 ctx
= isl_space_get_ctx(pw1
->dim
);
539 if (pw1
->type
!= pw2
->type
)
540 isl_die(ctx
, isl_error_invalid
,
541 "fold types don't match", goto error
);
543 isl_assert(ctx
, isl_space_is_equal(pw1
->dim
, pw2
->dim
), goto error
);
545 if (FN(PW
,IS_ZERO
)(pw1
)) {
550 if (FN(PW
,IS_ZERO
)(pw2
)) {
555 pw1
= FN(PW
,grow
)(pw1
, pw2
->n
);
559 for (i
= 0; i
< pw2
->n
; ++i
)
560 pw1
= FN(PW
,add_piece
)(pw1
,
561 isl_set_copy(pw2
->p
[i
].set
),
562 FN(EL
,copy
)(pw2
->p
[i
].FIELD
));
573 __isl_give PW
*FN(PW
,add_disjoint
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
575 return FN(PW
,align_params_pw_pw_and
)(pw1
, pw2
,
576 &FN(PW
,add_disjoint_aligned
));
579 /* This function is currently only used from isl_aff.c
581 static __isl_give PW
*FN(PW
,on_shared_domain_in
)(__isl_take PW
*pw1
,
582 __isl_take PW
*pw2
, __isl_take isl_space
*space
,
583 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
584 __attribute__ ((unused
));
586 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
587 * The result of "fn" (and therefore also of this function) lives in "space".
589 static __isl_give PW
*FN(PW
,on_shared_domain_in
)(__isl_take PW
*pw1
,
590 __isl_take PW
*pw2
, __isl_take isl_space
*space
,
591 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
601 res
= FN(PW
,alloc_size
)(isl_space_copy(space
), pw1
->type
, n
);
603 res
= FN(PW
,alloc_size
)(isl_space_copy(space
), n
);
606 for (i
= 0; i
< pw1
->n
; ++i
) {
607 for (j
= 0; j
< pw2
->n
; ++j
) {
612 common
= isl_set_intersect(
613 isl_set_copy(pw1
->p
[i
].set
),
614 isl_set_copy(pw2
->p
[j
].set
));
615 empty
= isl_set_plain_is_empty(common
);
616 if (empty
< 0 || empty
) {
617 isl_set_free(common
);
623 res_ij
= fn(FN(EL
,copy
)(pw1
->p
[i
].FIELD
),
624 FN(EL
,copy
)(pw2
->p
[j
].FIELD
));
625 res_ij
= FN(EL
,gist
)(res_ij
, isl_set_copy(common
));
627 res
= FN(PW
,add_piece
)(res
, common
, res_ij
);
631 isl_space_free(space
);
636 isl_space_free(space
);
643 /* This function is currently only used from isl_aff.c
645 static __isl_give PW
*FN(PW
,on_shared_domain
)(__isl_take PW
*pw1
,
647 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
648 __attribute__ ((unused
));
650 /* Apply "fn" to pairs of elements from pw1 and pw2 on shared domains.
651 * The result of "fn" is assumed to live in the same space as "pw1" and "pw2".
653 static __isl_give PW
*FN(PW
,on_shared_domain
)(__isl_take PW
*pw1
,
655 __isl_give EL
*(*fn
)(__isl_take EL
*el1
, __isl_take EL
*el2
))
662 space
= isl_space_copy(pw1
->dim
);
663 return FN(PW
,on_shared_domain_in
)(pw1
, pw2
, space
, fn
);
671 __isl_give PW
*FN(PW
,neg
)(__isl_take PW
*pw
)
678 if (FN(PW
,IS_ZERO
)(pw
))
685 for (i
= 0; i
< pw
->n
; ++i
) {
686 pw
->p
[i
].FIELD
= FN(EL
,neg
)(pw
->p
[i
].FIELD
);
688 return FN(PW
,free
)(pw
);
696 __isl_give PW
*FN(PW
,sub
)(__isl_take PW
*pw1
, __isl_take PW
*pw2
)
698 return FN(PW
,add
)(pw1
, FN(PW
,neg
)(pw2
));
703 /* Evaluate "pw" in the void point "pnt".
704 * In particular, return the value NaN.
706 static __isl_give isl_val
*FN(PW
,eval_void
)(__isl_take PW
*pw
,
707 __isl_take isl_point
*pnt
)
711 ctx
= isl_point_get_ctx(pnt
);
714 return isl_val_nan(ctx
);
717 __isl_give isl_val
*FN(PW
,eval
)(__isl_take PW
*pw
, __isl_take isl_point
*pnt
)
723 isl_space
*pnt_dim
= NULL
;
728 ctx
= isl_point_get_ctx(pnt
);
729 pnt_dim
= isl_point_get_space(pnt
);
730 isl_assert(ctx
, isl_space_is_domain_internal(pnt_dim
, pw
->dim
),
732 is_void
= isl_point_is_void(pnt
);
736 return FN(PW
,eval_void
)(pw
, pnt
);
738 for (i
= 0; i
< pw
->n
; ++i
) {
739 found
= isl_set_contains_point(pw
->p
[i
].set
, pnt
);
746 v
= FN(EL
,eval
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
747 isl_point_copy(pnt
));
749 v
= isl_val_zero(ctx
);
751 isl_space_free(pnt_dim
);
756 isl_space_free(pnt_dim
);
762 /* Return the parameter domain of "pw".
764 __isl_give isl_set
*FN(PW
,params
)(__isl_take PW
*pw
)
766 return isl_set_params(FN(PW
,domain
)(pw
));
769 __isl_give isl_set
*FN(PW
,domain
)(__isl_take PW
*pw
)
777 dom
= isl_set_empty(FN(PW
,get_domain_space
)(pw
));
778 for (i
= 0; i
< pw
->n
; ++i
)
779 dom
= isl_set_union_disjoint(dom
, isl_set_copy(pw
->p
[i
].set
));
786 /* Exploit the equalities in the domain of piece "i" of "pw"
787 * to simplify the associated function.
788 * If the domain of piece "i" is empty, then remove it entirely,
789 * replacing it with the final piece.
791 static int FN(PW
,exploit_equalities_and_remove_if_empty
)(__isl_keep PW
*pw
,
795 int empty
= isl_set_plain_is_empty(pw
->p
[i
].set
);
800 isl_set_free(pw
->p
[i
].set
);
801 FN(EL
,free
)(pw
->p
[i
].FIELD
);
803 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
809 aff
= isl_set_affine_hull(isl_set_copy(pw
->p
[i
].set
));
810 pw
->p
[i
].FIELD
= FN(EL
,substitute_equalities
)(pw
->p
[i
].FIELD
, aff
);
817 /* Convert a piecewise expression defined over a parameter domain
818 * into one that is defined over a zero-dimensional set.
820 __isl_give PW
*FN(PW
,from_range
)(__isl_take PW
*pw
)
826 if (!isl_space_is_set(pw
->dim
))
827 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
828 "not living in a set space", return FN(PW
,free
)(pw
));
830 space
= FN(PW
,get_space
)(pw
);
831 space
= isl_space_from_range(space
);
832 pw
= FN(PW
,reset_space
)(pw
, space
);
837 /* Fix the value of the given parameter or domain dimension of "pw"
838 * to be equal to "value".
840 __isl_give PW
*FN(PW
,fix_si
)(__isl_take PW
*pw
, enum isl_dim_type type
,
841 unsigned pos
, int value
)
848 if (type
== isl_dim_out
)
849 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
850 "cannot fix output dimension", return FN(PW
,free
)(pw
));
855 if (type
== isl_dim_in
)
860 return FN(PW
,free
)(pw
);
862 for (i
= pw
->n
- 1; i
>= 0; --i
) {
863 pw
->p
[i
].set
= isl_set_fix_si(pw
->p
[i
].set
, type
, pos
, value
);
864 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
865 return FN(PW
,free
)(pw
);
871 /* Restrict the domain of "pw" by combining each cell
872 * with "set" through a call to "fn", where "fn" may be
873 * isl_set_intersect, isl_set_intersect_params or isl_set_subtract.
875 static __isl_give PW
*FN(PW
,restrict_domain_aligned
)(__isl_take PW
*pw
,
876 __isl_take isl_set
*set
,
877 __isl_give isl_set
*(*fn
)(__isl_take isl_set
*set1
,
878 __isl_take isl_set
*set2
))
894 for (i
= pw
->n
- 1; i
>= 0; --i
) {
895 pw
->p
[i
].set
= fn(pw
->p
[i
].set
, isl_set_copy(set
));
896 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
908 static __isl_give PW
*FN(PW
,intersect_domain_aligned
)(__isl_take PW
*pw
,
909 __isl_take isl_set
*set
)
911 return FN(PW
,restrict_domain_aligned
)(pw
, set
, &isl_set_intersect
);
914 __isl_give PW
*FN(PW
,intersect_domain
)(__isl_take PW
*pw
,
915 __isl_take isl_set
*context
)
917 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
918 &FN(PW
,intersect_domain_aligned
));
921 static __isl_give PW
*FN(PW
,intersect_params_aligned
)(__isl_take PW
*pw
,
922 __isl_take isl_set
*set
)
924 return FN(PW
,restrict_domain_aligned
)(pw
, set
,
925 &isl_set_intersect_params
);
928 /* Intersect the domain of "pw" with the parameter domain "context".
930 __isl_give PW
*FN(PW
,intersect_params
)(__isl_take PW
*pw
,
931 __isl_take isl_set
*context
)
933 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
934 &FN(PW
,intersect_params_aligned
));
937 /* Subtract "domain' from the domain of "pw", assuming their
938 * parameters have been aligned.
940 static __isl_give PW
*FN(PW
,subtract_domain_aligned
)(__isl_take PW
*pw
,
941 __isl_take isl_set
*domain
)
943 return FN(PW
,restrict_domain_aligned
)(pw
, domain
, &isl_set_subtract
);
946 /* Subtract "domain' from the domain of "pw".
948 __isl_give PW
*FN(PW
,subtract_domain
)(__isl_take PW
*pw
,
949 __isl_take isl_set
*domain
)
951 return FN(PW
,align_params_pw_set_and
)(pw
, domain
,
952 &FN(PW
,subtract_domain_aligned
));
955 /* Compute the gist of "pw" with respect to the domain constraints
956 * of "context" for the case where the domain of the last element
957 * of "pw" is equal to "context".
958 * Call "fn_el" to compute the gist of this element, replace
959 * its domain by the universe and drop all other elements
960 * as their domains are necessarily disjoint from "context".
962 static __isl_give PW
*FN(PW
,gist_last
)(__isl_take PW
*pw
,
963 __isl_take isl_set
*context
,
964 __isl_give EL
*(*fn_el
)(__isl_take EL
*el
, __isl_take isl_set
*set
))
969 for (i
= 0; i
< pw
->n
- 1; ++i
) {
970 isl_set_free(pw
->p
[i
].set
);
971 FN(EL
,free
)(pw
->p
[i
].FIELD
);
973 pw
->p
[0].FIELD
= pw
->p
[pw
->n
- 1].FIELD
;
974 pw
->p
[0].set
= pw
->p
[pw
->n
- 1].set
;
977 space
= isl_set_get_space(context
);
978 pw
->p
[0].FIELD
= fn_el(pw
->p
[0].FIELD
, context
);
979 context
= isl_set_universe(space
);
980 isl_set_free(pw
->p
[0].set
);
981 pw
->p
[0].set
= context
;
983 if (!pw
->p
[0].FIELD
|| !pw
->p
[0].set
)
984 return FN(PW
,free
)(pw
);
989 /* Compute the gist of "pw" with respect to the domain constraints
990 * of "context". Call "fn_el" to compute the gist of the elements
991 * and "fn_dom" to compute the gist of the domains.
993 * If the piecewise expression is empty or the context is the universe,
994 * then nothing can be simplified.
996 static __isl_give PW
*FN(PW
,gist_aligned
)(__isl_take PW
*pw
,
997 __isl_take isl_set
*context
,
998 __isl_give EL
*(*fn_el
)(__isl_take EL
*el
,
999 __isl_take isl_set
*set
),
1000 __isl_give isl_set
*(*fn_dom
)(__isl_take isl_set
*set
,
1001 __isl_take isl_basic_set
*bset
))
1006 isl_basic_set
*hull
= NULL
;
1008 if (!pw
|| !context
)
1012 isl_set_free(context
);
1016 is_universe
= isl_set_plain_is_universe(context
);
1017 if (is_universe
< 0)
1020 isl_set_free(context
);
1024 aligned
= isl_set_space_has_equal_params(context
, pw
->dim
);
1028 pw
= FN(PW
,align_params
)(pw
, isl_set_get_space(context
));
1029 context
= isl_set_align_params(context
, FN(PW
,get_space
)(pw
));
1032 pw
= FN(PW
,cow
)(pw
);
1039 equal
= isl_set_plain_is_equal(pw
->p
[0].set
, context
);
1043 return FN(PW
,gist_last
)(pw
, context
, fn_el
);
1046 context
= isl_set_compute_divs(context
);
1047 hull
= isl_set_simple_hull(isl_set_copy(context
));
1049 for (i
= pw
->n
- 1; i
>= 0; --i
) {
1053 if (i
== pw
->n
- 1) {
1055 equal
= isl_set_plain_is_equal(pw
->p
[i
].set
, context
);
1059 isl_basic_set_free(hull
);
1060 return FN(PW
,gist_last
)(pw
, context
, fn_el
);
1063 set_i
= isl_set_intersect(isl_set_copy(pw
->p
[i
].set
),
1064 isl_set_copy(context
));
1065 empty
= isl_set_plain_is_empty(set_i
);
1066 pw
->p
[i
].FIELD
= fn_el(pw
->p
[i
].FIELD
, set_i
);
1067 pw
->p
[i
].set
= fn_dom(pw
->p
[i
].set
, isl_basic_set_copy(hull
));
1068 if (empty
< 0 || !pw
->p
[i
].FIELD
|| !pw
->p
[i
].set
)
1071 isl_set_free(pw
->p
[i
].set
);
1072 FN(EL
,free
)(pw
->p
[i
].FIELD
);
1074 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
1079 isl_basic_set_free(hull
);
1080 isl_set_free(context
);
1085 isl_basic_set_free(hull
);
1086 isl_set_free(context
);
1090 static __isl_give PW
*FN(PW
,gist_domain_aligned
)(__isl_take PW
*pw
,
1091 __isl_take isl_set
*set
)
1093 return FN(PW
,gist_aligned
)(pw
, set
, &FN(EL
,gist
),
1094 &isl_set_gist_basic_set
);
1097 __isl_give PW
*FN(PW
,gist
)(__isl_take PW
*pw
, __isl_take isl_set
*context
)
1099 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
1100 &FN(PW
,gist_domain_aligned
));
1103 static __isl_give PW
*FN(PW
,gist_params_aligned
)(__isl_take PW
*pw
,
1104 __isl_take isl_set
*set
)
1106 return FN(PW
,gist_aligned
)(pw
, set
, &FN(EL
,gist_params
),
1107 &isl_set_gist_params_basic_set
);
1110 __isl_give PW
*FN(PW
,gist_params
)(__isl_take PW
*pw
,
1111 __isl_take isl_set
*context
)
1113 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
1114 &FN(PW
,gist_params_aligned
));
1117 /* Return -1 if the piece "p1" should be sorted before "p2"
1118 * and 1 if it should be sorted after "p2".
1119 * Return 0 if they do not need to be sorted in a specific order.
1121 * The two pieces are compared on the basis of their function value expressions.
1123 static int FN(PW
,sort_field_cmp
)(const void *p1
, const void *p2
, void *arg
)
1125 struct FN(PW
,piece
) const *pc1
= p1
;
1126 struct FN(PW
,piece
) const *pc2
= p2
;
1128 return FN(EL
,plain_cmp
)(pc1
->FIELD
, pc2
->FIELD
);
1131 /* Sort the pieces of "pw" according to their function value
1132 * expressions and then combine pairs of adjacent pieces with
1133 * the same such expression.
1135 * The sorting is performed in place because it does not
1136 * change the meaning of "pw", but care needs to be
1137 * taken not to change any possible other copies of "pw"
1138 * in case anything goes wrong.
1140 __isl_give PW
*FN(PW
,sort
)(__isl_take PW
*pw
)
1149 if (isl_sort(pw
->p
, pw
->n
, sizeof(pw
->p
[0]),
1150 &FN(PW
,sort_field_cmp
), NULL
) < 0)
1151 return FN(PW
,free
)(pw
);
1152 for (i
= pw
->n
- 1; i
>= 1; --i
) {
1153 if (!FN(EL
,plain_is_equal
)(pw
->p
[i
- 1].FIELD
, pw
->p
[i
].FIELD
))
1155 set
= isl_set_union(isl_set_copy(pw
->p
[i
- 1].set
),
1156 isl_set_copy(pw
->p
[i
].set
));
1158 return FN(PW
,free
)(pw
);
1159 isl_set_free(pw
->p
[i
].set
);
1160 FN(EL
,free
)(pw
->p
[i
].FIELD
);
1161 isl_set_free(pw
->p
[i
- 1].set
);
1162 pw
->p
[i
- 1].set
= set
;
1163 for (j
= i
+ 1; j
< pw
->n
; ++j
)
1164 pw
->p
[j
- 1] = pw
->p
[j
];
1171 /* Coalesce the domains of "pw".
1173 * Prior to the actual coalescing, first sort the pieces such that
1174 * pieces with the same function value expression are combined
1175 * into a single piece, the combined domain of which can then
1178 __isl_give PW
*FN(PW
,coalesce
)(__isl_take PW
*pw
)
1182 pw
= FN(PW
,sort
)(pw
);
1186 for (i
= 0; i
< pw
->n
; ++i
) {
1187 pw
->p
[i
].set
= isl_set_coalesce(pw
->p
[i
].set
);
1198 isl_ctx
*FN(PW
,get_ctx
)(__isl_keep PW
*pw
)
1200 return pw
? isl_space_get_ctx(pw
->dim
) : NULL
;
1203 #ifndef NO_INVOLVES_DIMS
1204 isl_bool
FN(PW
,involves_dims
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
1205 unsigned first
, unsigned n
)
1208 enum isl_dim_type set_type
;
1211 return isl_bool_error
;
1212 if (pw
->n
== 0 || n
== 0)
1213 return isl_bool_false
;
1215 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1217 for (i
= 0; i
< pw
->n
; ++i
) {
1218 isl_bool involves
= FN(EL
,involves_dims
)(pw
->p
[i
].FIELD
,
1220 if (involves
< 0 || involves
)
1222 involves
= isl_set_involves_dims(pw
->p
[i
].set
,
1223 set_type
, first
, n
);
1224 if (involves
< 0 || involves
)
1227 return isl_bool_false
;
1231 __isl_give PW
*FN(PW
,set_dim_name
)(__isl_take PW
*pw
,
1232 enum isl_dim_type type
, unsigned pos
, const char *s
)
1235 enum isl_dim_type set_type
;
1237 pw
= FN(PW
,cow
)(pw
);
1241 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1243 pw
->dim
= isl_space_set_dim_name(pw
->dim
, type
, pos
, s
);
1247 for (i
= 0; i
< pw
->n
; ++i
) {
1248 pw
->p
[i
].set
= isl_set_set_dim_name(pw
->p
[i
].set
,
1252 pw
->p
[i
].FIELD
= FN(EL
,set_dim_name
)(pw
->p
[i
].FIELD
, type
, pos
, s
);
1253 if (!pw
->p
[i
].FIELD
)
1263 #ifndef NO_DROP_DIMS
1264 __isl_give PW
*FN(PW
,drop_dims
)(__isl_take PW
*pw
,
1265 enum isl_dim_type type
, unsigned first
, unsigned n
)
1268 enum isl_dim_type set_type
;
1272 if (n
== 0 && !isl_space_get_tuple_name(pw
->dim
, type
))
1275 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1277 pw
= FN(PW
,cow
)(pw
);
1280 pw
->dim
= isl_space_drop_dims(pw
->dim
, type
, first
, n
);
1283 for (i
= 0; i
< pw
->n
; ++i
) {
1284 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
1285 if (!pw
->p
[i
].FIELD
)
1287 if (type
== isl_dim_out
)
1289 pw
->p
[i
].set
= isl_set_drop(pw
->p
[i
].set
, set_type
, first
, n
);
1300 /* This function is very similar to drop_dims.
1301 * The only difference is that the cells may still involve
1302 * the specified dimensions. They are removed using
1303 * isl_set_project_out instead of isl_set_drop.
1305 __isl_give PW
*FN(PW
,project_out
)(__isl_take PW
*pw
,
1306 enum isl_dim_type type
, unsigned first
, unsigned n
)
1309 enum isl_dim_type set_type
;
1313 if (n
== 0 && !isl_space_get_tuple_name(pw
->dim
, type
))
1316 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1318 pw
= FN(PW
,cow
)(pw
);
1321 pw
->dim
= isl_space_drop_dims(pw
->dim
, type
, first
, n
);
1324 for (i
= 0; i
< pw
->n
; ++i
) {
1325 pw
->p
[i
].set
= isl_set_project_out(pw
->p
[i
].set
,
1326 set_type
, first
, n
);
1329 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
1330 if (!pw
->p
[i
].FIELD
)
1340 /* Project the domain of pw onto its parameter space.
1342 __isl_give PW
*FN(PW
,project_domain_on_params
)(__isl_take PW
*pw
)
1347 n
= FN(PW
,dim
)(pw
, isl_dim_in
);
1348 pw
= FN(PW
,project_out
)(pw
, isl_dim_in
, 0, n
);
1349 space
= FN(PW
,get_domain_space
)(pw
);
1350 space
= isl_space_params(space
);
1351 pw
= FN(PW
,reset_domain_space
)(pw
, space
);
1356 #ifndef NO_INSERT_DIMS
1357 __isl_give PW
*FN(PW
,insert_dims
)(__isl_take PW
*pw
, enum isl_dim_type type
,
1358 unsigned first
, unsigned n
)
1361 enum isl_dim_type set_type
;
1365 if (n
== 0 && !isl_space_is_named_or_nested(pw
->dim
, type
))
1368 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1370 pw
= FN(PW
,cow
)(pw
);
1374 pw
->dim
= isl_space_insert_dims(pw
->dim
, type
, first
, n
);
1378 for (i
= 0; i
< pw
->n
; ++i
) {
1379 pw
->p
[i
].set
= isl_set_insert_dims(pw
->p
[i
].set
,
1380 set_type
, first
, n
);
1383 pw
->p
[i
].FIELD
= FN(EL
,insert_dims
)(pw
->p
[i
].FIELD
,
1385 if (!pw
->p
[i
].FIELD
)
1396 __isl_give PW
*FN(PW
,fix_dim
)(__isl_take PW
*pw
,
1397 enum isl_dim_type type
, unsigned pos
, isl_int v
)
1404 if (type
== isl_dim_in
)
1407 pw
= FN(PW
,cow
)(pw
);
1410 for (i
= 0; i
< pw
->n
; ++i
) {
1411 pw
->p
[i
].set
= isl_set_fix(pw
->p
[i
].set
, type
, pos
, v
);
1412 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
1413 return FN(PW
,free
)(pw
);
1419 /* Fix the value of the variable at position "pos" of type "type" of "pw"
1420 * to be equal to "v".
1422 __isl_give PW
*FN(PW
,fix_val
)(__isl_take PW
*pw
,
1423 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*v
)
1426 return FN(PW
,free
)(pw
);
1427 if (!isl_val_is_int(v
))
1428 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
1429 "expecting integer value", goto error
);
1431 pw
= FN(PW
,fix_dim
)(pw
, type
, pos
, v
->n
);
1437 return FN(PW
,free
)(pw
);
1440 unsigned FN(PW
,dim
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
1442 return pw
? isl_space_dim(pw
->dim
, type
) : 0;
1445 __isl_give PW
*FN(PW
,split_dims
)(__isl_take PW
*pw
,
1446 enum isl_dim_type type
, unsigned first
, unsigned n
)
1455 if (type
== isl_dim_in
)
1458 pw
= FN(PW
,cow
)(pw
);
1463 for (i
= 0; i
< pw
->n
; ++i
) {
1464 pw
->p
[i
].set
= isl_set_split_dims(pw
->p
[i
].set
, type
, first
, n
);
1476 /* Compute the maximal value attained by the piecewise quasipolynomial
1477 * on its domain or zero if the domain is empty.
1478 * In the worst case, the domain is scanned completely,
1479 * so the domain is assumed to be bounded.
1481 __isl_give isl_val
*FN(PW
,opt
)(__isl_take PW
*pw
, int max
)
1490 opt
= isl_val_zero(FN(PW
,get_ctx
)(pw
));
1495 opt
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[0].FIELD
),
1496 isl_set_copy(pw
->p
[0].set
), max
);
1497 for (i
= 1; i
< pw
->n
; ++i
) {
1499 opt_i
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
1500 isl_set_copy(pw
->p
[i
].set
), max
);
1502 opt
= isl_val_max(opt
, opt_i
);
1504 opt
= isl_val_min(opt
, opt_i
);
1511 __isl_give isl_val
*FN(PW
,max
)(__isl_take PW
*pw
)
1513 return FN(PW
,opt
)(pw
, 1);
1516 __isl_give isl_val
*FN(PW
,min
)(__isl_take PW
*pw
)
1518 return FN(PW
,opt
)(pw
, 0);
1522 /* Return the space of "pw".
1524 __isl_keep isl_space
*FN(PW
,peek_space
)(__isl_keep PW
*pw
)
1526 return pw
? pw
->dim
: NULL
;
1529 __isl_give isl_space
*FN(PW
,get_space
)(__isl_keep PW
*pw
)
1531 return isl_space_copy(FN(PW
,peek_space
)(pw
));
1534 __isl_give isl_space
*FN(PW
,get_domain_space
)(__isl_keep PW
*pw
)
1536 return pw
? isl_space_domain(isl_space_copy(pw
->dim
)) : NULL
;
1539 /* Return the position of the dimension of the given type and name
1541 * Return -1 if no such dimension can be found.
1543 int FN(PW
,find_dim_by_name
)(__isl_keep PW
*pw
,
1544 enum isl_dim_type type
, const char *name
)
1548 return isl_space_find_dim_by_name(pw
->dim
, type
, name
);
1551 #ifndef NO_RESET_DIM
1552 /* Reset the space of "pw". Since we don't know if the elements
1553 * represent the spaces themselves or their domains, we pass along
1554 * both when we call their reset_space_and_domain.
1556 static __isl_give PW
*FN(PW
,reset_space_and_domain
)(__isl_take PW
*pw
,
1557 __isl_take isl_space
*space
, __isl_take isl_space
*domain
)
1561 pw
= FN(PW
,cow
)(pw
);
1562 if (!pw
|| !space
|| !domain
)
1565 for (i
= 0; i
< pw
->n
; ++i
) {
1566 pw
->p
[i
].set
= isl_set_reset_space(pw
->p
[i
].set
,
1567 isl_space_copy(domain
));
1570 pw
->p
[i
].FIELD
= FN(EL
,reset_space_and_domain
)(pw
->p
[i
].FIELD
,
1571 isl_space_copy(space
), isl_space_copy(domain
));
1572 if (!pw
->p
[i
].FIELD
)
1576 isl_space_free(domain
);
1578 isl_space_free(pw
->dim
);
1583 isl_space_free(domain
);
1584 isl_space_free(space
);
1589 __isl_give PW
*FN(PW
,reset_domain_space
)(__isl_take PW
*pw
,
1590 __isl_take isl_space
*domain
)
1594 space
= isl_space_extend_domain_with_range(isl_space_copy(domain
),
1595 FN(PW
,get_space
)(pw
));
1596 return FN(PW
,reset_space_and_domain
)(pw
, space
, domain
);
1599 __isl_give PW
*FN(PW
,reset_space
)(__isl_take PW
*pw
, __isl_take isl_space
*dim
)
1603 domain
= isl_space_domain(isl_space_copy(dim
));
1604 return FN(PW
,reset_space_and_domain
)(pw
, dim
, domain
);
1607 __isl_give PW
*FN(PW
,set_tuple_id
)(__isl_take PW
*pw
, enum isl_dim_type type
,
1608 __isl_take isl_id
*id
)
1612 pw
= FN(PW
,cow
)(pw
);
1616 space
= FN(PW
,get_space
)(pw
);
1617 space
= isl_space_set_tuple_id(space
, type
, id
);
1619 return FN(PW
,reset_space
)(pw
, space
);
1622 return FN(PW
,free
)(pw
);
1625 /* Drop the id on the specified tuple.
1627 __isl_give PW
*FN(PW
,reset_tuple_id
)(__isl_take PW
*pw
, enum isl_dim_type type
)
1633 if (!FN(PW
,has_tuple_id
)(pw
, type
))
1636 pw
= FN(PW
,cow
)(pw
);
1640 space
= FN(PW
,get_space
)(pw
);
1641 space
= isl_space_reset_tuple_id(space
, type
);
1643 return FN(PW
,reset_space
)(pw
, space
);
1646 __isl_give PW
*FN(PW
,set_dim_id
)(__isl_take PW
*pw
,
1647 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
1649 pw
= FN(PW
,cow
)(pw
);
1652 pw
->dim
= isl_space_set_dim_id(pw
->dim
, type
, pos
, id
);
1653 return FN(PW
,reset_space
)(pw
, isl_space_copy(pw
->dim
));
1656 return FN(PW
,free
)(pw
);
1660 /* Reset the user pointer on all identifiers of parameters and tuples
1661 * of the space of "pw".
1663 __isl_give PW
*FN(PW
,reset_user
)(__isl_take PW
*pw
)
1667 space
= FN(PW
,get_space
)(pw
);
1668 space
= isl_space_reset_user(space
);
1670 return FN(PW
,reset_space
)(pw
, space
);
1673 isl_bool
FN(PW
,has_equal_space
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
1676 return isl_bool_error
;
1678 return isl_space_is_equal(pw1
->dim
, pw2
->dim
);
1682 __isl_give PW
*FN(PW
,morph_domain
)(__isl_take PW
*pw
,
1683 __isl_take isl_morph
*morph
)
1691 ctx
= isl_space_get_ctx(pw
->dim
);
1692 isl_assert(ctx
, isl_space_is_domain_internal(morph
->dom
->dim
, pw
->dim
),
1695 pw
= FN(PW
,cow
)(pw
);
1698 pw
->dim
= isl_space_extend_domain_with_range(
1699 isl_space_copy(morph
->ran
->dim
), pw
->dim
);
1703 for (i
= 0; i
< pw
->n
; ++i
) {
1704 pw
->p
[i
].set
= isl_morph_set(isl_morph_copy(morph
), pw
->p
[i
].set
);
1707 pw
->p
[i
].FIELD
= FN(EL
,morph_domain
)(pw
->p
[i
].FIELD
,
1708 isl_morph_copy(morph
));
1709 if (!pw
->p
[i
].FIELD
)
1713 isl_morph_free(morph
);
1718 isl_morph_free(morph
);
1723 int FN(PW
,n_piece
)(__isl_keep PW
*pw
)
1725 return pw
? pw
->n
: 0;
1728 isl_stat
FN(PW
,foreach_piece
)(__isl_keep PW
*pw
,
1729 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
, void *user
),
1735 return isl_stat_error
;
1737 for (i
= 0; i
< pw
->n
; ++i
)
1738 if (fn(isl_set_copy(pw
->p
[i
].set
),
1739 FN(EL
,copy
)(pw
->p
[i
].FIELD
), user
) < 0)
1740 return isl_stat_error
;
1746 static isl_bool
any_divs(__isl_keep isl_set
*set
)
1751 return isl_bool_error
;
1753 for (i
= 0; i
< set
->n
; ++i
)
1754 if (set
->p
[i
]->n_div
> 0)
1755 return isl_bool_true
;
1757 return isl_bool_false
;
1760 static isl_stat
foreach_lifted_subset(__isl_take isl_set
*set
,
1762 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
1763 void *user
), void *user
)
1770 for (i
= 0; i
< set
->n
; ++i
) {
1774 lift
= isl_set_from_basic_set(isl_basic_set_copy(set
->p
[i
]));
1775 lift
= isl_set_lift(lift
);
1777 copy
= FN(EL
,copy
)(el
);
1778 copy
= FN(EL
,lift
)(copy
, isl_set_get_space(lift
));
1780 if (fn(lift
, copy
, user
) < 0)
1791 return isl_stat_error
;
1794 isl_stat
FN(PW
,foreach_lifted_piece
)(__isl_keep PW
*pw
,
1795 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
1796 void *user
), void *user
)
1801 return isl_stat_error
;
1803 for (i
= 0; i
< pw
->n
; ++i
) {
1808 any
= any_divs(pw
->p
[i
].set
);
1810 return isl_stat_error
;
1811 set
= isl_set_copy(pw
->p
[i
].set
);
1812 el
= FN(EL
,copy
)(pw
->p
[i
].FIELD
);
1814 if (fn(set
, el
, user
) < 0)
1815 return isl_stat_error
;
1818 if (foreach_lifted_subset(set
, el
, fn
, user
) < 0)
1819 return isl_stat_error
;
1826 #ifndef NO_MOVE_DIMS
1827 __isl_give PW
*FN(PW
,move_dims
)(__isl_take PW
*pw
,
1828 enum isl_dim_type dst_type
, unsigned dst_pos
,
1829 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
1833 pw
= FN(PW
,cow
)(pw
);
1837 pw
->dim
= isl_space_move_dims(pw
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
1841 for (i
= 0; i
< pw
->n
; ++i
) {
1842 pw
->p
[i
].FIELD
= FN(EL
,move_dims
)(pw
->p
[i
].FIELD
,
1843 dst_type
, dst_pos
, src_type
, src_pos
, n
);
1844 if (!pw
->p
[i
].FIELD
)
1848 if (dst_type
== isl_dim_in
)
1849 dst_type
= isl_dim_set
;
1850 if (src_type
== isl_dim_in
)
1851 src_type
= isl_dim_set
;
1853 for (i
= 0; i
< pw
->n
; ++i
) {
1854 pw
->p
[i
].set
= isl_set_move_dims(pw
->p
[i
].set
,
1856 src_type
, src_pos
, n
);
1868 __isl_give PW
*FN(PW
,mul_isl_int
)(__isl_take PW
*pw
, isl_int v
)
1872 if (isl_int_is_one(v
))
1874 if (pw
&& DEFAULT_IS_ZERO
&& isl_int_is_zero(v
)) {
1876 isl_space
*dim
= FN(PW
,get_space
)(pw
);
1878 zero
= FN(PW
,ZERO
)(dim
, pw
->type
);
1880 zero
= FN(PW
,ZERO
)(dim
);
1885 pw
= FN(PW
,cow
)(pw
);
1892 if (isl_int_is_neg(v
))
1893 pw
->type
= isl_fold_type_negate(pw
->type
);
1895 for (i
= 0; i
< pw
->n
; ++i
) {
1896 pw
->p
[i
].FIELD
= FN(EL
,scale
)(pw
->p
[i
].FIELD
, v
);
1897 if (!pw
->p
[i
].FIELD
)
1907 /* Multiply the pieces of "pw" by "v" and return the result.
1909 __isl_give PW
*FN(PW
,scale_val
)(__isl_take PW
*pw
, __isl_take isl_val
*v
)
1916 if (isl_val_is_one(v
)) {
1920 if (pw
&& DEFAULT_IS_ZERO
&& isl_val_is_zero(v
)) {
1922 isl_space
*space
= FN(PW
,get_space
)(pw
);
1924 zero
= FN(PW
,ZERO
)(space
, pw
->type
);
1926 zero
= FN(PW
,ZERO
)(space
);
1936 pw
= FN(PW
,cow
)(pw
);
1941 if (isl_val_is_neg(v
))
1942 pw
->type
= isl_fold_type_negate(pw
->type
);
1944 for (i
= 0; i
< pw
->n
; ++i
) {
1945 pw
->p
[i
].FIELD
= FN(EL
,scale_val
)(pw
->p
[i
].FIELD
,
1947 if (!pw
->p
[i
].FIELD
)
1959 /* Divide the pieces of "pw" by "v" and return the result.
1961 __isl_give PW
*FN(PW
,scale_down_val
)(__isl_take PW
*pw
, __isl_take isl_val
*v
)
1968 if (isl_val_is_one(v
)) {
1973 if (!isl_val_is_rat(v
))
1974 isl_die(isl_val_get_ctx(v
), isl_error_invalid
,
1975 "expecting rational factor", goto error
);
1976 if (isl_val_is_zero(v
))
1977 isl_die(isl_val_get_ctx(v
), isl_error_invalid
,
1978 "cannot scale down by zero", goto error
);
1984 pw
= FN(PW
,cow
)(pw
);
1989 if (isl_val_is_neg(v
))
1990 pw
->type
= isl_fold_type_negate(pw
->type
);
1992 for (i
= 0; i
< pw
->n
; ++i
) {
1993 pw
->p
[i
].FIELD
= FN(EL
,scale_down_val
)(pw
->p
[i
].FIELD
,
1995 if (!pw
->p
[i
].FIELD
)
2007 __isl_give PW
*FN(PW
,scale
)(__isl_take PW
*pw
, isl_int v
)
2009 return FN(PW
,mul_isl_int
)(pw
, v
);
2012 /* Apply some normalization to "pw".
2013 * In particular, sort the pieces according to their function value
2014 * expressions, combining pairs of adjacent pieces with
2015 * the same such expression, and then normalize the domains of the pieces.
2017 * We normalize in place, but if anything goes wrong we need
2018 * to return NULL, so we need to make sure we don't change the
2019 * meaning of any possible other copies of "pw".
2021 __isl_give PW
*FN(PW
,normalize
)(__isl_take PW
*pw
)
2026 pw
= FN(PW
,sort
)(pw
);
2029 for (i
= 0; i
< pw
->n
; ++i
) {
2030 set
= isl_set_normalize(isl_set_copy(pw
->p
[i
].set
));
2032 return FN(PW
,free
)(pw
);
2033 isl_set_free(pw
->p
[i
].set
);
2040 /* Is pw1 obviously equal to pw2?
2041 * That is, do they have obviously identical cells and obviously identical
2042 * elements on each cell?
2044 * If "pw1" or "pw2" contain any NaNs, then they are considered
2045 * not to be the same. A NaN is not equal to anything, not even
2048 isl_bool
FN(PW
,plain_is_equal
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
2051 isl_bool equal
, has_nan
;
2054 return isl_bool_error
;
2056 has_nan
= FN(PW
,involves_nan
)(pw1
);
2057 if (has_nan
>= 0 && !has_nan
)
2058 has_nan
= FN(PW
,involves_nan
)(pw2
);
2059 if (has_nan
< 0 || has_nan
)
2060 return isl_bool_not(has_nan
);
2063 return isl_bool_true
;
2064 if (!isl_space_is_equal(pw1
->dim
, pw2
->dim
))
2065 return isl_bool_false
;
2067 pw1
= FN(PW
,copy
)(pw1
);
2068 pw2
= FN(PW
,copy
)(pw2
);
2069 pw1
= FN(PW
,normalize
)(pw1
);
2070 pw2
= FN(PW
,normalize
)(pw2
);
2074 equal
= pw1
->n
== pw2
->n
;
2075 for (i
= 0; equal
&& i
< pw1
->n
; ++i
) {
2076 equal
= isl_set_plain_is_equal(pw1
->p
[i
].set
, pw2
->p
[i
].set
);
2081 equal
= FN(EL
,plain_is_equal
)(pw1
->p
[i
].FIELD
, pw2
->p
[i
].FIELD
);
2092 return isl_bool_error
;
2095 /* Does "pw" involve any NaNs?
2097 isl_bool
FN(PW
,involves_nan
)(__isl_keep PW
*pw
)
2102 return isl_bool_error
;
2104 return isl_bool_false
;
2106 for (i
= 0; i
< pw
->n
; ++i
) {
2107 isl_bool has_nan
= FN(EL
,involves_nan
)(pw
->p
[i
].FIELD
);
2108 if (has_nan
< 0 || has_nan
)
2112 return isl_bool_false
;
2116 static __isl_give PW
*FN(PW
,align_params_pw_multi_aff_and
)(__isl_take PW
*pw
,
2117 __isl_take isl_multi_aff
*ma
,
2118 __isl_give PW
*(*fn
)(__isl_take PW
*pw
, __isl_take isl_multi_aff
*ma
))
2121 isl_bool equal_params
;
2122 isl_space
*ma_space
;
2124 ma_space
= isl_multi_aff_get_space(ma
);
2125 if (!pw
|| !ma
|| !ma_space
)
2127 equal_params
= isl_space_has_equal_params(pw
->dim
, ma_space
);
2128 if (equal_params
< 0)
2131 isl_space_free(ma_space
);
2134 ctx
= FN(PW
,get_ctx
)(pw
);
2135 if (!isl_space_has_named_params(pw
->dim
) ||
2136 !isl_space_has_named_params(ma_space
))
2137 isl_die(ctx
, isl_error_invalid
,
2138 "unaligned unnamed parameters", goto error
);
2139 pw
= FN(PW
,align_params
)(pw
, ma_space
);
2140 ma
= isl_multi_aff_align_params(ma
, FN(PW
,get_space
)(pw
));
2143 isl_space_free(ma_space
);
2145 isl_multi_aff_free(ma
);
2149 static __isl_give PW
*FN(PW
,align_params_pw_pw_multi_aff_and
)(__isl_take PW
*pw
,
2150 __isl_take isl_pw_multi_aff
*pma
,
2151 __isl_give PW
*(*fn
)(__isl_take PW
*pw
,
2152 __isl_take isl_pw_multi_aff
*ma
))
2155 isl_bool equal_params
;
2156 isl_space
*pma_space
;
2158 pma_space
= isl_pw_multi_aff_get_space(pma
);
2159 if (!pw
|| !pma
|| !pma_space
)
2161 equal_params
= isl_space_has_equal_params(pw
->dim
, pma_space
);
2162 if (equal_params
< 0)
2165 isl_space_free(pma_space
);
2168 ctx
= FN(PW
,get_ctx
)(pw
);
2169 if (!isl_space_has_named_params(pw
->dim
) ||
2170 !isl_space_has_named_params(pma_space
))
2171 isl_die(ctx
, isl_error_invalid
,
2172 "unaligned unnamed parameters", goto error
);
2173 pw
= FN(PW
,align_params
)(pw
, pma_space
);
2174 pma
= isl_pw_multi_aff_align_params(pma
, FN(PW
,get_space
)(pw
));
2177 isl_space_free(pma_space
);
2179 isl_pw_multi_aff_free(pma
);
2183 /* Compute the pullback of "pw" by the function represented by "ma".
2184 * In other words, plug in "ma" in "pw".
2186 static __isl_give PW
*FN(PW
,pullback_multi_aff_aligned
)(__isl_take PW
*pw
,
2187 __isl_take isl_multi_aff
*ma
)
2190 isl_space
*space
= NULL
;
2192 ma
= isl_multi_aff_align_divs(ma
);
2193 pw
= FN(PW
,cow
)(pw
);
2197 space
= isl_space_join(isl_multi_aff_get_space(ma
),
2198 FN(PW
,get_space
)(pw
));
2200 for (i
= 0; i
< pw
->n
; ++i
) {
2201 pw
->p
[i
].set
= isl_set_preimage_multi_aff(pw
->p
[i
].set
,
2202 isl_multi_aff_copy(ma
));
2205 pw
->p
[i
].FIELD
= FN(EL
,pullback_multi_aff
)(pw
->p
[i
].FIELD
,
2206 isl_multi_aff_copy(ma
));
2207 if (!pw
->p
[i
].FIELD
)
2211 pw
= FN(PW
,reset_space
)(pw
, space
);
2212 isl_multi_aff_free(ma
);
2215 isl_space_free(space
);
2216 isl_multi_aff_free(ma
);
2221 __isl_give PW
*FN(PW
,pullback_multi_aff
)(__isl_take PW
*pw
,
2222 __isl_take isl_multi_aff
*ma
)
2224 return FN(PW
,align_params_pw_multi_aff_and
)(pw
, ma
,
2225 &FN(PW
,pullback_multi_aff_aligned
));
2228 /* Compute the pullback of "pw" by the function represented by "pma".
2229 * In other words, plug in "pma" in "pw".
2231 static __isl_give PW
*FN(PW
,pullback_pw_multi_aff_aligned
)(__isl_take PW
*pw
,
2232 __isl_take isl_pw_multi_aff
*pma
)
2242 space
= isl_space_join(isl_pw_multi_aff_get_space(pma
),
2243 FN(PW
,get_space
)(pw
));
2244 isl_pw_multi_aff_free(pma
);
2245 res
= FN(PW
,empty
)(space
);
2250 res
= FN(PW
,pullback_multi_aff
)(FN(PW
,copy
)(pw
),
2251 isl_multi_aff_copy(pma
->p
[0].maff
));
2252 res
= FN(PW
,intersect_domain
)(res
, isl_set_copy(pma
->p
[0].set
));
2254 for (i
= 1; i
< pma
->n
; ++i
) {
2257 res_i
= FN(PW
,pullback_multi_aff
)(FN(PW
,copy
)(pw
),
2258 isl_multi_aff_copy(pma
->p
[i
].maff
));
2259 res_i
= FN(PW
,intersect_domain
)(res_i
,
2260 isl_set_copy(pma
->p
[i
].set
));
2261 res
= FN(PW
,add_disjoint
)(res
, res_i
);
2264 isl_pw_multi_aff_free(pma
);
2268 isl_pw_multi_aff_free(pma
);
2273 __isl_give PW
*FN(PW
,pullback_pw_multi_aff
)(__isl_take PW
*pw
,
2274 __isl_take isl_pw_multi_aff
*pma
)
2276 return FN(PW
,align_params_pw_pw_multi_aff_and
)(pw
, pma
,
2277 &FN(PW
,pullback_pw_multi_aff_aligned
));