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
));
702 /* Return the parameter domain of "pw".
704 __isl_give isl_set
*FN(PW
,params
)(__isl_take PW
*pw
)
706 return isl_set_params(FN(PW
,domain
)(pw
));
709 __isl_give isl_set
*FN(PW
,domain
)(__isl_take PW
*pw
)
717 dom
= isl_set_empty(FN(PW
,get_domain_space
)(pw
));
718 for (i
= 0; i
< pw
->n
; ++i
)
719 dom
= isl_set_union_disjoint(dom
, isl_set_copy(pw
->p
[i
].set
));
726 /* Exploit the equalities in the domain of piece "i" of "pw"
727 * to simplify the associated function.
728 * If the domain of piece "i" is empty, then remove it entirely,
729 * replacing it with the final piece.
731 static int FN(PW
,exploit_equalities_and_remove_if_empty
)(__isl_keep PW
*pw
,
735 int empty
= isl_set_plain_is_empty(pw
->p
[i
].set
);
740 isl_set_free(pw
->p
[i
].set
);
741 FN(EL
,free
)(pw
->p
[i
].FIELD
);
743 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
749 aff
= isl_set_affine_hull(isl_set_copy(pw
->p
[i
].set
));
750 pw
->p
[i
].FIELD
= FN(EL
,substitute_equalities
)(pw
->p
[i
].FIELD
, aff
);
757 /* Convert a piecewise expression defined over a parameter domain
758 * into one that is defined over a zero-dimensional set.
760 __isl_give PW
*FN(PW
,from_range
)(__isl_take PW
*pw
)
766 if (!isl_space_is_set(pw
->dim
))
767 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
768 "not living in a set space", return FN(PW
,free
)(pw
));
770 space
= FN(PW
,get_space
)(pw
);
771 space
= isl_space_from_range(space
);
772 pw
= FN(PW
,reset_space
)(pw
, space
);
777 /* Fix the value of the given parameter or domain dimension of "pw"
778 * to be equal to "value".
780 __isl_give PW
*FN(PW
,fix_si
)(__isl_take PW
*pw
, enum isl_dim_type type
,
781 unsigned pos
, int value
)
788 if (type
== isl_dim_out
)
789 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
790 "cannot fix output dimension", return FN(PW
,free
)(pw
));
795 if (type
== isl_dim_in
)
800 return FN(PW
,free
)(pw
);
802 for (i
= pw
->n
- 1; i
>= 0; --i
) {
803 pw
->p
[i
].set
= isl_set_fix_si(pw
->p
[i
].set
, type
, pos
, value
);
804 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
805 return FN(PW
,free
)(pw
);
811 /* Restrict the domain of "pw" by combining each cell
812 * with "set" through a call to "fn", where "fn" may be
813 * isl_set_intersect, isl_set_intersect_params or isl_set_subtract.
815 static __isl_give PW
*FN(PW
,restrict_domain_aligned
)(__isl_take PW
*pw
,
816 __isl_take isl_set
*set
,
817 __isl_give isl_set
*(*fn
)(__isl_take isl_set
*set1
,
818 __isl_take isl_set
*set2
))
834 for (i
= pw
->n
- 1; i
>= 0; --i
) {
835 pw
->p
[i
].set
= fn(pw
->p
[i
].set
, isl_set_copy(set
));
836 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
848 static __isl_give PW
*FN(PW
,intersect_domain_aligned
)(__isl_take PW
*pw
,
849 __isl_take isl_set
*set
)
851 return FN(PW
,restrict_domain_aligned
)(pw
, set
, &isl_set_intersect
);
854 __isl_give PW
*FN(PW
,intersect_domain
)(__isl_take PW
*pw
,
855 __isl_take isl_set
*context
)
857 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
858 &FN(PW
,intersect_domain_aligned
));
861 static __isl_give PW
*FN(PW
,intersect_params_aligned
)(__isl_take PW
*pw
,
862 __isl_take isl_set
*set
)
864 return FN(PW
,restrict_domain_aligned
)(pw
, set
,
865 &isl_set_intersect_params
);
868 /* Intersect the domain of "pw" with the parameter domain "context".
870 __isl_give PW
*FN(PW
,intersect_params
)(__isl_take PW
*pw
,
871 __isl_take isl_set
*context
)
873 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
874 &FN(PW
,intersect_params_aligned
));
877 /* Subtract "domain' from the domain of "pw", assuming their
878 * parameters have been aligned.
880 static __isl_give PW
*FN(PW
,subtract_domain_aligned
)(__isl_take PW
*pw
,
881 __isl_take isl_set
*domain
)
883 return FN(PW
,restrict_domain_aligned
)(pw
, domain
, &isl_set_subtract
);
886 /* Subtract "domain' from the domain of "pw".
888 __isl_give PW
*FN(PW
,subtract_domain
)(__isl_take PW
*pw
,
889 __isl_take isl_set
*domain
)
891 return FN(PW
,align_params_pw_set_and
)(pw
, domain
,
892 &FN(PW
,subtract_domain_aligned
));
895 /* Compute the gist of "pw" with respect to the domain constraints
896 * of "context" for the case where the domain of the last element
897 * of "pw" is equal to "context".
898 * Call "fn_el" to compute the gist of this element, replace
899 * its domain by the universe and drop all other elements
900 * as their domains are necessarily disjoint from "context".
902 static __isl_give PW
*FN(PW
,gist_last
)(__isl_take PW
*pw
,
903 __isl_take isl_set
*context
,
904 __isl_give EL
*(*fn_el
)(__isl_take EL
*el
, __isl_take isl_set
*set
))
909 for (i
= 0; i
< pw
->n
- 1; ++i
) {
910 isl_set_free(pw
->p
[i
].set
);
911 FN(EL
,free
)(pw
->p
[i
].FIELD
);
913 pw
->p
[0].FIELD
= pw
->p
[pw
->n
- 1].FIELD
;
914 pw
->p
[0].set
= pw
->p
[pw
->n
- 1].set
;
917 space
= isl_set_get_space(context
);
918 pw
->p
[0].FIELD
= fn_el(pw
->p
[0].FIELD
, context
);
919 context
= isl_set_universe(space
);
920 isl_set_free(pw
->p
[0].set
);
921 pw
->p
[0].set
= context
;
923 if (!pw
->p
[0].FIELD
|| !pw
->p
[0].set
)
924 return FN(PW
,free
)(pw
);
929 /* Compute the gist of "pw" with respect to the domain constraints
930 * of "context". Call "fn_el" to compute the gist of the elements
931 * and "fn_dom" to compute the gist of the domains.
933 * If the piecewise expression is empty or the context is the universe,
934 * then nothing can be simplified.
936 static __isl_give PW
*FN(PW
,gist_aligned
)(__isl_take PW
*pw
,
937 __isl_take isl_set
*context
,
938 __isl_give EL
*(*fn_el
)(__isl_take EL
*el
,
939 __isl_take isl_set
*set
),
940 __isl_give isl_set
*(*fn_dom
)(__isl_take isl_set
*set
,
941 __isl_take isl_basic_set
*bset
))
946 isl_basic_set
*hull
= NULL
;
952 isl_set_free(context
);
956 is_universe
= isl_set_plain_is_universe(context
);
960 isl_set_free(context
);
964 aligned
= isl_set_space_has_equal_params(context
, pw
->dim
);
968 pw
= FN(PW
,align_params
)(pw
, isl_set_get_space(context
));
969 context
= isl_set_align_params(context
, FN(PW
,get_space
)(pw
));
979 equal
= isl_set_plain_is_equal(pw
->p
[0].set
, context
);
983 return FN(PW
,gist_last
)(pw
, context
, fn_el
);
986 context
= isl_set_compute_divs(context
);
987 hull
= isl_set_simple_hull(isl_set_copy(context
));
989 for (i
= pw
->n
- 1; i
>= 0; --i
) {
993 if (i
== pw
->n
- 1) {
995 equal
= isl_set_plain_is_equal(pw
->p
[i
].set
, context
);
999 isl_basic_set_free(hull
);
1000 return FN(PW
,gist_last
)(pw
, context
, fn_el
);
1003 set_i
= isl_set_intersect(isl_set_copy(pw
->p
[i
].set
),
1004 isl_set_copy(context
));
1005 empty
= isl_set_plain_is_empty(set_i
);
1006 pw
->p
[i
].FIELD
= fn_el(pw
->p
[i
].FIELD
, set_i
);
1007 pw
->p
[i
].set
= fn_dom(pw
->p
[i
].set
, isl_basic_set_copy(hull
));
1008 if (empty
< 0 || !pw
->p
[i
].FIELD
|| !pw
->p
[i
].set
)
1011 isl_set_free(pw
->p
[i
].set
);
1012 FN(EL
,free
)(pw
->p
[i
].FIELD
);
1014 pw
->p
[i
] = pw
->p
[pw
->n
- 1];
1019 isl_basic_set_free(hull
);
1020 isl_set_free(context
);
1025 isl_basic_set_free(hull
);
1026 isl_set_free(context
);
1030 static __isl_give PW
*FN(PW
,gist_domain_aligned
)(__isl_take PW
*pw
,
1031 __isl_take isl_set
*set
)
1033 return FN(PW
,gist_aligned
)(pw
, set
, &FN(EL
,gist
),
1034 &isl_set_gist_basic_set
);
1037 __isl_give PW
*FN(PW
,gist
)(__isl_take PW
*pw
, __isl_take isl_set
*context
)
1039 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
1040 &FN(PW
,gist_domain_aligned
));
1043 static __isl_give PW
*FN(PW
,gist_params_aligned
)(__isl_take PW
*pw
,
1044 __isl_take isl_set
*set
)
1046 return FN(PW
,gist_aligned
)(pw
, set
, &FN(EL
,gist_params
),
1047 &isl_set_gist_params_basic_set
);
1050 __isl_give PW
*FN(PW
,gist_params
)(__isl_take PW
*pw
,
1051 __isl_take isl_set
*context
)
1053 return FN(PW
,align_params_pw_set_and
)(pw
, context
,
1054 &FN(PW
,gist_params_aligned
));
1057 /* Return -1 if the piece "p1" should be sorted before "p2"
1058 * and 1 if it should be sorted after "p2".
1059 * Return 0 if they do not need to be sorted in a specific order.
1061 * The two pieces are compared on the basis of their function value expressions.
1063 static int FN(PW
,sort_field_cmp
)(const void *p1
, const void *p2
, void *arg
)
1065 struct FN(PW
,piece
) const *pc1
= p1
;
1066 struct FN(PW
,piece
) const *pc2
= p2
;
1068 return FN(EL
,plain_cmp
)(pc1
->FIELD
, pc2
->FIELD
);
1071 /* Sort the pieces of "pw" according to their function value
1072 * expressions and then combine pairs of adjacent pieces with
1073 * the same such expression.
1075 * The sorting is performed in place because it does not
1076 * change the meaning of "pw", but care needs to be
1077 * taken not to change any possible other copies of "pw"
1078 * in case anything goes wrong.
1080 __isl_give PW
*FN(PW
,sort
)(__isl_take PW
*pw
)
1089 if (isl_sort(pw
->p
, pw
->n
, sizeof(pw
->p
[0]),
1090 &FN(PW
,sort_field_cmp
), NULL
) < 0)
1091 return FN(PW
,free
)(pw
);
1092 for (i
= pw
->n
- 1; i
>= 1; --i
) {
1093 if (!FN(EL
,plain_is_equal
)(pw
->p
[i
- 1].FIELD
, pw
->p
[i
].FIELD
))
1095 set
= isl_set_union(isl_set_copy(pw
->p
[i
- 1].set
),
1096 isl_set_copy(pw
->p
[i
].set
));
1098 return FN(PW
,free
)(pw
);
1099 isl_set_free(pw
->p
[i
].set
);
1100 FN(EL
,free
)(pw
->p
[i
].FIELD
);
1101 isl_set_free(pw
->p
[i
- 1].set
);
1102 pw
->p
[i
- 1].set
= set
;
1103 for (j
= i
+ 1; j
< pw
->n
; ++j
)
1104 pw
->p
[j
- 1] = pw
->p
[j
];
1111 /* Coalesce the domains of "pw".
1113 * Prior to the actual coalescing, first sort the pieces such that
1114 * pieces with the same function value expression are combined
1115 * into a single piece, the combined domain of which can then
1118 __isl_give PW
*FN(PW
,coalesce
)(__isl_take PW
*pw
)
1122 pw
= FN(PW
,sort
)(pw
);
1126 for (i
= 0; i
< pw
->n
; ++i
) {
1127 pw
->p
[i
].set
= isl_set_coalesce(pw
->p
[i
].set
);
1138 isl_ctx
*FN(PW
,get_ctx
)(__isl_keep PW
*pw
)
1140 return pw
? isl_space_get_ctx(pw
->dim
) : NULL
;
1143 #ifndef NO_INVOLVES_DIMS
1144 isl_bool
FN(PW
,involves_dims
)(__isl_keep PW
*pw
, enum isl_dim_type type
,
1145 unsigned first
, unsigned n
)
1148 enum isl_dim_type set_type
;
1151 return isl_bool_error
;
1152 if (pw
->n
== 0 || n
== 0)
1153 return isl_bool_false
;
1155 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1157 for (i
= 0; i
< pw
->n
; ++i
) {
1158 isl_bool involves
= FN(EL
,involves_dims
)(pw
->p
[i
].FIELD
,
1160 if (involves
< 0 || involves
)
1162 involves
= isl_set_involves_dims(pw
->p
[i
].set
,
1163 set_type
, first
, n
);
1164 if (involves
< 0 || involves
)
1167 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 #ifndef NO_DROP_DIMS
1204 __isl_give PW
*FN(PW
,drop_dims
)(__isl_take PW
*pw
,
1205 enum isl_dim_type type
, unsigned first
, unsigned n
)
1208 enum isl_dim_type set_type
;
1212 if (n
== 0 && !isl_space_get_tuple_name(pw
->dim
, type
))
1215 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1217 pw
= FN(PW
,cow
)(pw
);
1220 pw
->dim
= isl_space_drop_dims(pw
->dim
, type
, first
, n
);
1223 for (i
= 0; i
< pw
->n
; ++i
) {
1224 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
1225 if (!pw
->p
[i
].FIELD
)
1227 if (type
== isl_dim_out
)
1229 pw
->p
[i
].set
= isl_set_drop(pw
->p
[i
].set
, set_type
, first
, n
);
1240 /* This function is very similar to drop_dims.
1241 * The only difference is that the cells may still involve
1242 * the specified dimensions. They are removed using
1243 * isl_set_project_out instead of isl_set_drop.
1245 __isl_give PW
*FN(PW
,project_out
)(__isl_take PW
*pw
,
1246 enum isl_dim_type type
, unsigned first
, unsigned n
)
1249 enum isl_dim_type set_type
;
1253 if (n
== 0 && !isl_space_get_tuple_name(pw
->dim
, type
))
1256 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1258 pw
= FN(PW
,cow
)(pw
);
1261 pw
->dim
= isl_space_drop_dims(pw
->dim
, type
, first
, n
);
1264 for (i
= 0; i
< pw
->n
; ++i
) {
1265 pw
->p
[i
].set
= isl_set_project_out(pw
->p
[i
].set
,
1266 set_type
, first
, n
);
1269 pw
->p
[i
].FIELD
= FN(EL
,drop_dims
)(pw
->p
[i
].FIELD
, type
, first
, n
);
1270 if (!pw
->p
[i
].FIELD
)
1280 /* Project the domain of pw onto its parameter space.
1282 __isl_give PW
*FN(PW
,project_domain_on_params
)(__isl_take PW
*pw
)
1287 n
= FN(PW
,dim
)(pw
, isl_dim_in
);
1288 pw
= FN(PW
,project_out
)(pw
, isl_dim_in
, 0, n
);
1289 space
= FN(PW
,get_domain_space
)(pw
);
1290 space
= isl_space_params(space
);
1291 pw
= FN(PW
,reset_domain_space
)(pw
, space
);
1296 #ifndef NO_INSERT_DIMS
1297 __isl_give PW
*FN(PW
,insert_dims
)(__isl_take PW
*pw
, enum isl_dim_type type
,
1298 unsigned first
, unsigned n
)
1301 enum isl_dim_type set_type
;
1305 if (n
== 0 && !isl_space_is_named_or_nested(pw
->dim
, type
))
1308 set_type
= type
== isl_dim_in
? isl_dim_set
: type
;
1310 pw
= FN(PW
,cow
)(pw
);
1314 pw
->dim
= isl_space_insert_dims(pw
->dim
, type
, first
, n
);
1318 for (i
= 0; i
< pw
->n
; ++i
) {
1319 pw
->p
[i
].set
= isl_set_insert_dims(pw
->p
[i
].set
,
1320 set_type
, first
, n
);
1323 pw
->p
[i
].FIELD
= FN(EL
,insert_dims
)(pw
->p
[i
].FIELD
,
1325 if (!pw
->p
[i
].FIELD
)
1336 __isl_give PW
*FN(PW
,fix_dim
)(__isl_take PW
*pw
,
1337 enum isl_dim_type type
, unsigned pos
, isl_int v
)
1344 if (type
== isl_dim_in
)
1347 pw
= FN(PW
,cow
)(pw
);
1350 for (i
= 0; i
< pw
->n
; ++i
) {
1351 pw
->p
[i
].set
= isl_set_fix(pw
->p
[i
].set
, type
, pos
, v
);
1352 if (FN(PW
,exploit_equalities_and_remove_if_empty
)(pw
, i
) < 0)
1353 return FN(PW
,free
)(pw
);
1359 /* Fix the value of the variable at position "pos" of type "type" of "pw"
1360 * to be equal to "v".
1362 __isl_give PW
*FN(PW
,fix_val
)(__isl_take PW
*pw
,
1363 enum isl_dim_type type
, unsigned pos
, __isl_take isl_val
*v
)
1366 return FN(PW
,free
)(pw
);
1367 if (!isl_val_is_int(v
))
1368 isl_die(FN(PW
,get_ctx
)(pw
), isl_error_invalid
,
1369 "expecting integer value", goto error
);
1371 pw
= FN(PW
,fix_dim
)(pw
, type
, pos
, v
->n
);
1377 return FN(PW
,free
)(pw
);
1380 unsigned FN(PW
,dim
)(__isl_keep PW
*pw
, enum isl_dim_type type
)
1382 return pw
? isl_space_dim(pw
->dim
, type
) : 0;
1385 __isl_give PW
*FN(PW
,split_dims
)(__isl_take PW
*pw
,
1386 enum isl_dim_type type
, unsigned first
, unsigned n
)
1395 if (type
== isl_dim_in
)
1398 pw
= FN(PW
,cow
)(pw
);
1403 for (i
= 0; i
< pw
->n
; ++i
) {
1404 pw
->p
[i
].set
= isl_set_split_dims(pw
->p
[i
].set
, type
, first
, n
);
1416 /* Compute the maximal value attained by the piecewise quasipolynomial
1417 * on its domain or zero if the domain is empty.
1418 * In the worst case, the domain is scanned completely,
1419 * so the domain is assumed to be bounded.
1421 __isl_give isl_val
*FN(PW
,opt
)(__isl_take PW
*pw
, int max
)
1430 opt
= isl_val_zero(FN(PW
,get_ctx
)(pw
));
1435 opt
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[0].FIELD
),
1436 isl_set_copy(pw
->p
[0].set
), max
);
1437 for (i
= 1; i
< pw
->n
; ++i
) {
1439 opt_i
= FN(EL
,opt_on_domain
)(FN(EL
,copy
)(pw
->p
[i
].FIELD
),
1440 isl_set_copy(pw
->p
[i
].set
), max
);
1442 opt
= isl_val_max(opt
, opt_i
);
1444 opt
= isl_val_min(opt
, opt_i
);
1451 __isl_give isl_val
*FN(PW
,max
)(__isl_take PW
*pw
)
1453 return FN(PW
,opt
)(pw
, 1);
1456 __isl_give isl_val
*FN(PW
,min
)(__isl_take PW
*pw
)
1458 return FN(PW
,opt
)(pw
, 0);
1462 /* Return the space of "pw".
1464 __isl_keep isl_space
*FN(PW
,peek_space
)(__isl_keep PW
*pw
)
1466 return pw
? pw
->dim
: NULL
;
1469 __isl_give isl_space
*FN(PW
,get_space
)(__isl_keep PW
*pw
)
1471 return isl_space_copy(FN(PW
,peek_space
)(pw
));
1474 __isl_give isl_space
*FN(PW
,get_domain_space
)(__isl_keep PW
*pw
)
1476 return pw
? isl_space_domain(isl_space_copy(pw
->dim
)) : NULL
;
1479 /* Return the position of the dimension of the given type and name
1481 * Return -1 if no such dimension can be found.
1483 int FN(PW
,find_dim_by_name
)(__isl_keep PW
*pw
,
1484 enum isl_dim_type type
, const char *name
)
1488 return isl_space_find_dim_by_name(pw
->dim
, type
, name
);
1491 #ifndef NO_RESET_DIM
1492 /* Reset the space of "pw". Since we don't know if the elements
1493 * represent the spaces themselves or their domains, we pass along
1494 * both when we call their reset_space_and_domain.
1496 static __isl_give PW
*FN(PW
,reset_space_and_domain
)(__isl_take PW
*pw
,
1497 __isl_take isl_space
*space
, __isl_take isl_space
*domain
)
1501 pw
= FN(PW
,cow
)(pw
);
1502 if (!pw
|| !space
|| !domain
)
1505 for (i
= 0; i
< pw
->n
; ++i
) {
1506 pw
->p
[i
].set
= isl_set_reset_space(pw
->p
[i
].set
,
1507 isl_space_copy(domain
));
1510 pw
->p
[i
].FIELD
= FN(EL
,reset_space_and_domain
)(pw
->p
[i
].FIELD
,
1511 isl_space_copy(space
), isl_space_copy(domain
));
1512 if (!pw
->p
[i
].FIELD
)
1516 isl_space_free(domain
);
1518 isl_space_free(pw
->dim
);
1523 isl_space_free(domain
);
1524 isl_space_free(space
);
1529 __isl_give PW
*FN(PW
,reset_domain_space
)(__isl_take PW
*pw
,
1530 __isl_take isl_space
*domain
)
1534 space
= isl_space_extend_domain_with_range(isl_space_copy(domain
),
1535 FN(PW
,get_space
)(pw
));
1536 return FN(PW
,reset_space_and_domain
)(pw
, space
, domain
);
1539 __isl_give PW
*FN(PW
,reset_space
)(__isl_take PW
*pw
, __isl_take isl_space
*dim
)
1543 domain
= isl_space_domain(isl_space_copy(dim
));
1544 return FN(PW
,reset_space_and_domain
)(pw
, dim
, domain
);
1547 __isl_give PW
*FN(PW
,set_tuple_id
)(__isl_take PW
*pw
, enum isl_dim_type type
,
1548 __isl_take isl_id
*id
)
1552 pw
= FN(PW
,cow
)(pw
);
1556 space
= FN(PW
,get_space
)(pw
);
1557 space
= isl_space_set_tuple_id(space
, type
, id
);
1559 return FN(PW
,reset_space
)(pw
, space
);
1562 return FN(PW
,free
)(pw
);
1565 /* Drop the id on the specified tuple.
1567 __isl_give PW
*FN(PW
,reset_tuple_id
)(__isl_take PW
*pw
, enum isl_dim_type type
)
1573 if (!FN(PW
,has_tuple_id
)(pw
, type
))
1576 pw
= FN(PW
,cow
)(pw
);
1580 space
= FN(PW
,get_space
)(pw
);
1581 space
= isl_space_reset_tuple_id(space
, type
);
1583 return FN(PW
,reset_space
)(pw
, space
);
1586 __isl_give PW
*FN(PW
,set_dim_id
)(__isl_take PW
*pw
,
1587 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
1589 pw
= FN(PW
,cow
)(pw
);
1592 pw
->dim
= isl_space_set_dim_id(pw
->dim
, type
, pos
, id
);
1593 return FN(PW
,reset_space
)(pw
, isl_space_copy(pw
->dim
));
1596 return FN(PW
,free
)(pw
);
1600 /* Reset the user pointer on all identifiers of parameters and tuples
1601 * of the space of "pw".
1603 __isl_give PW
*FN(PW
,reset_user
)(__isl_take PW
*pw
)
1607 space
= FN(PW
,get_space
)(pw
);
1608 space
= isl_space_reset_user(space
);
1610 return FN(PW
,reset_space
)(pw
, space
);
1613 isl_bool
FN(PW
,has_equal_space
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
1616 return isl_bool_error
;
1618 return isl_space_is_equal(pw1
->dim
, pw2
->dim
);
1622 __isl_give PW
*FN(PW
,morph_domain
)(__isl_take PW
*pw
,
1623 __isl_take isl_morph
*morph
)
1631 ctx
= isl_space_get_ctx(pw
->dim
);
1632 isl_assert(ctx
, isl_space_is_domain_internal(morph
->dom
->dim
, pw
->dim
),
1635 pw
= FN(PW
,cow
)(pw
);
1638 pw
->dim
= isl_space_extend_domain_with_range(
1639 isl_space_copy(morph
->ran
->dim
), pw
->dim
);
1643 for (i
= 0; i
< pw
->n
; ++i
) {
1644 pw
->p
[i
].set
= isl_morph_set(isl_morph_copy(morph
), pw
->p
[i
].set
);
1647 pw
->p
[i
].FIELD
= FN(EL
,morph_domain
)(pw
->p
[i
].FIELD
,
1648 isl_morph_copy(morph
));
1649 if (!pw
->p
[i
].FIELD
)
1653 isl_morph_free(morph
);
1658 isl_morph_free(morph
);
1663 int FN(PW
,n_piece
)(__isl_keep PW
*pw
)
1665 return pw
? pw
->n
: 0;
1668 isl_stat
FN(PW
,foreach_piece
)(__isl_keep PW
*pw
,
1669 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
, void *user
),
1675 return isl_stat_error
;
1677 for (i
= 0; i
< pw
->n
; ++i
)
1678 if (fn(isl_set_copy(pw
->p
[i
].set
),
1679 FN(EL
,copy
)(pw
->p
[i
].FIELD
), user
) < 0)
1680 return isl_stat_error
;
1686 static isl_bool
any_divs(__isl_keep isl_set
*set
)
1691 return isl_bool_error
;
1693 for (i
= 0; i
< set
->n
; ++i
)
1694 if (set
->p
[i
]->n_div
> 0)
1695 return isl_bool_true
;
1697 return isl_bool_false
;
1700 static isl_stat
foreach_lifted_subset(__isl_take isl_set
*set
,
1702 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
1703 void *user
), void *user
)
1710 for (i
= 0; i
< set
->n
; ++i
) {
1714 lift
= isl_set_from_basic_set(isl_basic_set_copy(set
->p
[i
]));
1715 lift
= isl_set_lift(lift
);
1717 copy
= FN(EL
,copy
)(el
);
1718 copy
= FN(EL
,lift
)(copy
, isl_set_get_space(lift
));
1720 if (fn(lift
, copy
, user
) < 0)
1731 return isl_stat_error
;
1734 isl_stat
FN(PW
,foreach_lifted_piece
)(__isl_keep PW
*pw
,
1735 isl_stat (*fn
)(__isl_take isl_set
*set
, __isl_take EL
*el
,
1736 void *user
), void *user
)
1741 return isl_stat_error
;
1743 for (i
= 0; i
< pw
->n
; ++i
) {
1748 any
= any_divs(pw
->p
[i
].set
);
1750 return isl_stat_error
;
1751 set
= isl_set_copy(pw
->p
[i
].set
);
1752 el
= FN(EL
,copy
)(pw
->p
[i
].FIELD
);
1754 if (fn(set
, el
, user
) < 0)
1755 return isl_stat_error
;
1758 if (foreach_lifted_subset(set
, el
, fn
, user
) < 0)
1759 return isl_stat_error
;
1766 #ifndef NO_MOVE_DIMS
1767 __isl_give PW
*FN(PW
,move_dims
)(__isl_take PW
*pw
,
1768 enum isl_dim_type dst_type
, unsigned dst_pos
,
1769 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
1773 pw
= FN(PW
,cow
)(pw
);
1777 pw
->dim
= isl_space_move_dims(pw
->dim
, dst_type
, dst_pos
, src_type
, src_pos
, n
);
1781 for (i
= 0; i
< pw
->n
; ++i
) {
1782 pw
->p
[i
].FIELD
= FN(EL
,move_dims
)(pw
->p
[i
].FIELD
,
1783 dst_type
, dst_pos
, src_type
, src_pos
, n
);
1784 if (!pw
->p
[i
].FIELD
)
1788 if (dst_type
== isl_dim_in
)
1789 dst_type
= isl_dim_set
;
1790 if (src_type
== isl_dim_in
)
1791 src_type
= isl_dim_set
;
1793 for (i
= 0; i
< pw
->n
; ++i
) {
1794 pw
->p
[i
].set
= isl_set_move_dims(pw
->p
[i
].set
,
1796 src_type
, src_pos
, n
);
1808 __isl_give PW
*FN(PW
,mul_isl_int
)(__isl_take PW
*pw
, isl_int v
)
1812 if (isl_int_is_one(v
))
1814 if (pw
&& DEFAULT_IS_ZERO
&& isl_int_is_zero(v
)) {
1816 isl_space
*dim
= FN(PW
,get_space
)(pw
);
1818 zero
= FN(PW
,ZERO
)(dim
, pw
->type
);
1820 zero
= FN(PW
,ZERO
)(dim
);
1825 pw
= FN(PW
,cow
)(pw
);
1832 if (isl_int_is_neg(v
))
1833 pw
->type
= isl_fold_type_negate(pw
->type
);
1835 for (i
= 0; i
< pw
->n
; ++i
) {
1836 pw
->p
[i
].FIELD
= FN(EL
,scale
)(pw
->p
[i
].FIELD
, v
);
1837 if (!pw
->p
[i
].FIELD
)
1847 /* Multiply the pieces of "pw" by "v" and return the result.
1849 __isl_give PW
*FN(PW
,scale_val
)(__isl_take PW
*pw
, __isl_take isl_val
*v
)
1856 if (isl_val_is_one(v
)) {
1860 if (pw
&& DEFAULT_IS_ZERO
&& isl_val_is_zero(v
)) {
1862 isl_space
*space
= FN(PW
,get_space
)(pw
);
1864 zero
= FN(PW
,ZERO
)(space
, pw
->type
);
1866 zero
= FN(PW
,ZERO
)(space
);
1876 pw
= FN(PW
,cow
)(pw
);
1881 if (isl_val_is_neg(v
))
1882 pw
->type
= isl_fold_type_negate(pw
->type
);
1884 for (i
= 0; i
< pw
->n
; ++i
) {
1885 pw
->p
[i
].FIELD
= FN(EL
,scale_val
)(pw
->p
[i
].FIELD
,
1887 if (!pw
->p
[i
].FIELD
)
1899 /* Divide the pieces of "pw" by "v" and return the result.
1901 __isl_give PW
*FN(PW
,scale_down_val
)(__isl_take PW
*pw
, __isl_take isl_val
*v
)
1908 if (isl_val_is_one(v
)) {
1913 if (!isl_val_is_rat(v
))
1914 isl_die(isl_val_get_ctx(v
), isl_error_invalid
,
1915 "expecting rational factor", goto error
);
1916 if (isl_val_is_zero(v
))
1917 isl_die(isl_val_get_ctx(v
), isl_error_invalid
,
1918 "cannot scale down by zero", goto error
);
1924 pw
= FN(PW
,cow
)(pw
);
1929 if (isl_val_is_neg(v
))
1930 pw
->type
= isl_fold_type_negate(pw
->type
);
1932 for (i
= 0; i
< pw
->n
; ++i
) {
1933 pw
->p
[i
].FIELD
= FN(EL
,scale_down_val
)(pw
->p
[i
].FIELD
,
1935 if (!pw
->p
[i
].FIELD
)
1947 __isl_give PW
*FN(PW
,scale
)(__isl_take PW
*pw
, isl_int v
)
1949 return FN(PW
,mul_isl_int
)(pw
, v
);
1952 /* Apply some normalization to "pw".
1953 * In particular, sort the pieces according to their function value
1954 * expressions, combining pairs of adjacent pieces with
1955 * the same such expression, and then normalize the domains of the pieces.
1957 * We normalize in place, but if anything goes wrong we need
1958 * to return NULL, so we need to make sure we don't change the
1959 * meaning of any possible other copies of "pw".
1961 __isl_give PW
*FN(PW
,normalize
)(__isl_take PW
*pw
)
1966 pw
= FN(PW
,sort
)(pw
);
1969 for (i
= 0; i
< pw
->n
; ++i
) {
1970 set
= isl_set_normalize(isl_set_copy(pw
->p
[i
].set
));
1972 return FN(PW
,free
)(pw
);
1973 isl_set_free(pw
->p
[i
].set
);
1980 /* Is pw1 obviously equal to pw2?
1981 * That is, do they have obviously identical cells and obviously identical
1982 * elements on each cell?
1984 * If "pw1" or "pw2" contain any NaNs, then they are considered
1985 * not to be the same. A NaN is not equal to anything, not even
1988 isl_bool
FN(PW
,plain_is_equal
)(__isl_keep PW
*pw1
, __isl_keep PW
*pw2
)
1991 isl_bool equal
, has_nan
;
1994 return isl_bool_error
;
1996 has_nan
= FN(PW
,involves_nan
)(pw1
);
1997 if (has_nan
>= 0 && !has_nan
)
1998 has_nan
= FN(PW
,involves_nan
)(pw2
);
1999 if (has_nan
< 0 || has_nan
)
2000 return isl_bool_not(has_nan
);
2003 return isl_bool_true
;
2004 if (!isl_space_is_equal(pw1
->dim
, pw2
->dim
))
2005 return isl_bool_false
;
2007 pw1
= FN(PW
,copy
)(pw1
);
2008 pw2
= FN(PW
,copy
)(pw2
);
2009 pw1
= FN(PW
,normalize
)(pw1
);
2010 pw2
= FN(PW
,normalize
)(pw2
);
2014 equal
= pw1
->n
== pw2
->n
;
2015 for (i
= 0; equal
&& i
< pw1
->n
; ++i
) {
2016 equal
= isl_set_plain_is_equal(pw1
->p
[i
].set
, pw2
->p
[i
].set
);
2021 equal
= FN(EL
,plain_is_equal
)(pw1
->p
[i
].FIELD
, pw2
->p
[i
].FIELD
);
2032 return isl_bool_error
;
2035 /* Does "pw" involve any NaNs?
2037 isl_bool
FN(PW
,involves_nan
)(__isl_keep PW
*pw
)
2042 return isl_bool_error
;
2044 return isl_bool_false
;
2046 for (i
= 0; i
< pw
->n
; ++i
) {
2047 isl_bool has_nan
= FN(EL
,involves_nan
)(pw
->p
[i
].FIELD
);
2048 if (has_nan
< 0 || has_nan
)
2052 return isl_bool_false
;
2056 static __isl_give PW
*FN(PW
,align_params_pw_multi_aff_and
)(__isl_take PW
*pw
,
2057 __isl_take isl_multi_aff
*ma
,
2058 __isl_give PW
*(*fn
)(__isl_take PW
*pw
, __isl_take isl_multi_aff
*ma
))
2061 isl_bool equal_params
;
2062 isl_space
*ma_space
;
2064 ma_space
= isl_multi_aff_get_space(ma
);
2065 if (!pw
|| !ma
|| !ma_space
)
2067 equal_params
= isl_space_has_equal_params(pw
->dim
, ma_space
);
2068 if (equal_params
< 0)
2071 isl_space_free(ma_space
);
2074 ctx
= FN(PW
,get_ctx
)(pw
);
2075 if (!isl_space_has_named_params(pw
->dim
) ||
2076 !isl_space_has_named_params(ma_space
))
2077 isl_die(ctx
, isl_error_invalid
,
2078 "unaligned unnamed parameters", goto error
);
2079 pw
= FN(PW
,align_params
)(pw
, ma_space
);
2080 ma
= isl_multi_aff_align_params(ma
, FN(PW
,get_space
)(pw
));
2083 isl_space_free(ma_space
);
2085 isl_multi_aff_free(ma
);
2089 static __isl_give PW
*FN(PW
,align_params_pw_pw_multi_aff_and
)(__isl_take PW
*pw
,
2090 __isl_take isl_pw_multi_aff
*pma
,
2091 __isl_give PW
*(*fn
)(__isl_take PW
*pw
,
2092 __isl_take isl_pw_multi_aff
*ma
))
2095 isl_bool equal_params
;
2096 isl_space
*pma_space
;
2098 pma_space
= isl_pw_multi_aff_get_space(pma
);
2099 if (!pw
|| !pma
|| !pma_space
)
2101 equal_params
= isl_space_has_equal_params(pw
->dim
, pma_space
);
2102 if (equal_params
< 0)
2105 isl_space_free(pma_space
);
2108 ctx
= FN(PW
,get_ctx
)(pw
);
2109 if (!isl_space_has_named_params(pw
->dim
) ||
2110 !isl_space_has_named_params(pma_space
))
2111 isl_die(ctx
, isl_error_invalid
,
2112 "unaligned unnamed parameters", goto error
);
2113 pw
= FN(PW
,align_params
)(pw
, pma_space
);
2114 pma
= isl_pw_multi_aff_align_params(pma
, FN(PW
,get_space
)(pw
));
2117 isl_space_free(pma_space
);
2119 isl_pw_multi_aff_free(pma
);
2123 /* Compute the pullback of "pw" by the function represented by "ma".
2124 * In other words, plug in "ma" in "pw".
2126 static __isl_give PW
*FN(PW
,pullback_multi_aff_aligned
)(__isl_take PW
*pw
,
2127 __isl_take isl_multi_aff
*ma
)
2130 isl_space
*space
= NULL
;
2132 ma
= isl_multi_aff_align_divs(ma
);
2133 pw
= FN(PW
,cow
)(pw
);
2137 space
= isl_space_join(isl_multi_aff_get_space(ma
),
2138 FN(PW
,get_space
)(pw
));
2140 for (i
= 0; i
< pw
->n
; ++i
) {
2141 pw
->p
[i
].set
= isl_set_preimage_multi_aff(pw
->p
[i
].set
,
2142 isl_multi_aff_copy(ma
));
2145 pw
->p
[i
].FIELD
= FN(EL
,pullback_multi_aff
)(pw
->p
[i
].FIELD
,
2146 isl_multi_aff_copy(ma
));
2147 if (!pw
->p
[i
].FIELD
)
2151 pw
= FN(PW
,reset_space
)(pw
, space
);
2152 isl_multi_aff_free(ma
);
2155 isl_space_free(space
);
2156 isl_multi_aff_free(ma
);
2161 __isl_give PW
*FN(PW
,pullback_multi_aff
)(__isl_take PW
*pw
,
2162 __isl_take isl_multi_aff
*ma
)
2164 return FN(PW
,align_params_pw_multi_aff_and
)(pw
, ma
,
2165 &FN(PW
,pullback_multi_aff_aligned
));
2168 /* Compute the pullback of "pw" by the function represented by "pma".
2169 * In other words, plug in "pma" in "pw".
2171 static __isl_give PW
*FN(PW
,pullback_pw_multi_aff_aligned
)(__isl_take PW
*pw
,
2172 __isl_take isl_pw_multi_aff
*pma
)
2182 space
= isl_space_join(isl_pw_multi_aff_get_space(pma
),
2183 FN(PW
,get_space
)(pw
));
2184 isl_pw_multi_aff_free(pma
);
2185 res
= FN(PW
,empty
)(space
);
2190 res
= FN(PW
,pullback_multi_aff
)(FN(PW
,copy
)(pw
),
2191 isl_multi_aff_copy(pma
->p
[0].maff
));
2192 res
= FN(PW
,intersect_domain
)(res
, isl_set_copy(pma
->p
[0].set
));
2194 for (i
= 1; i
< pma
->n
; ++i
) {
2197 res_i
= FN(PW
,pullback_multi_aff
)(FN(PW
,copy
)(pw
),
2198 isl_multi_aff_copy(pma
->p
[i
].maff
));
2199 res_i
= FN(PW
,intersect_domain
)(res_i
,
2200 isl_set_copy(pma
->p
[i
].set
));
2201 res
= FN(PW
,add_disjoint
)(res
, res_i
);
2204 isl_pw_multi_aff_free(pma
);
2208 isl_pw_multi_aff_free(pma
);
2213 __isl_give PW
*FN(PW
,pullback_pw_multi_aff
)(__isl_take PW
*pw
,
2214 __isl_take isl_pw_multi_aff
*pma
)
2216 return FN(PW
,align_params_pw_pw_multi_aff_and
)(pw
, pma
,
2217 &FN(PW
,pullback_pw_multi_aff_aligned
));