2 * Copyright 2011 INRIA Saclay
3 * Copyright 2011 Sven Verdoolaege
4 * Copyright 2012-2014 Ecole Normale Superieure
5 * Copyright 2014 INRIA Rocquencourt
7 * Use of this software is governed by the MIT license
9 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
10 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
12 * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
13 * and Inria Paris - Rocquencourt, Domaine de Voluceau - Rocquencourt,
14 * B.P. 105 - 78153 Le Chesnay, France
17 #include <isl_ctx_private.h>
19 #include <isl_map_private.h>
20 #include <isl_union_map_private.h>
21 #include <isl_aff_private.h>
22 #include <isl_space_private.h>
23 #include <isl_local_space_private.h>
24 #include <isl_vec_private.h>
25 #include <isl_mat_private.h>
26 #include <isl/constraint.h>
29 #include <isl_val_private.h>
30 #include <isl/deprecated/aff_int.h>
31 #include <isl_config.h>
36 #include <isl_list_templ.c>
41 #include <isl_list_templ.c>
44 #define BASE union_pw_aff
46 #include <isl_list_templ.c>
49 #define BASE union_pw_multi_aff
51 #include <isl_list_templ.c>
53 __isl_give isl_aff
*isl_aff_alloc_vec(__isl_take isl_local_space
*ls
,
54 __isl_take isl_vec
*v
)
61 aff
= isl_calloc_type(v
->ctx
, struct isl_aff
);
71 isl_local_space_free(ls
);
76 __isl_give isl_aff
*isl_aff_alloc(__isl_take isl_local_space
*ls
)
85 ctx
= isl_local_space_get_ctx(ls
);
86 if (!isl_local_space_divs_known(ls
))
87 isl_die(ctx
, isl_error_invalid
, "local space has unknown divs",
89 if (!isl_local_space_is_set(ls
))
90 isl_die(ctx
, isl_error_invalid
,
91 "domain of affine expression should be a set",
94 total
= isl_local_space_dim(ls
, isl_dim_all
);
95 v
= isl_vec_alloc(ctx
, 1 + 1 + total
);
96 return isl_aff_alloc_vec(ls
, v
);
98 isl_local_space_free(ls
);
102 __isl_give isl_aff
*isl_aff_zero_on_domain(__isl_take isl_local_space
*ls
)
106 aff
= isl_aff_alloc(ls
);
110 isl_int_set_si(aff
->v
->el
[0], 1);
111 isl_seq_clr(aff
->v
->el
+ 1, aff
->v
->size
- 1);
116 /* Return a piecewise affine expression defined on the specified domain
117 * that is equal to zero.
119 __isl_give isl_pw_aff
*isl_pw_aff_zero_on_domain(__isl_take isl_local_space
*ls
)
121 return isl_pw_aff_from_aff(isl_aff_zero_on_domain(ls
));
124 /* Return an affine expression defined on the specified domain
125 * that represents NaN.
127 __isl_give isl_aff
*isl_aff_nan_on_domain(__isl_take isl_local_space
*ls
)
131 aff
= isl_aff_alloc(ls
);
135 isl_seq_clr(aff
->v
->el
, aff
->v
->size
);
140 /* Return a piecewise affine expression defined on the specified domain
141 * that represents NaN.
143 __isl_give isl_pw_aff
*isl_pw_aff_nan_on_domain(__isl_take isl_local_space
*ls
)
145 return isl_pw_aff_from_aff(isl_aff_nan_on_domain(ls
));
148 /* Return an affine expression that is equal to "val" on
149 * domain local space "ls".
151 __isl_give isl_aff
*isl_aff_val_on_domain(__isl_take isl_local_space
*ls
,
152 __isl_take isl_val
*val
)
158 if (!isl_val_is_rat(val
))
159 isl_die(isl_val_get_ctx(val
), isl_error_invalid
,
160 "expecting rational value", goto error
);
162 aff
= isl_aff_alloc(isl_local_space_copy(ls
));
166 isl_seq_clr(aff
->v
->el
+ 2, aff
->v
->size
- 2);
167 isl_int_set(aff
->v
->el
[1], val
->n
);
168 isl_int_set(aff
->v
->el
[0], val
->d
);
170 isl_local_space_free(ls
);
174 isl_local_space_free(ls
);
179 /* Return an affine expression that is equal to the specified dimension
182 __isl_give isl_aff
*isl_aff_var_on_domain(__isl_take isl_local_space
*ls
,
183 enum isl_dim_type type
, unsigned pos
)
191 space
= isl_local_space_get_space(ls
);
194 if (isl_space_is_map(space
))
195 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
196 "expecting (parameter) set space", goto error
);
197 if (pos
>= isl_local_space_dim(ls
, type
))
198 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
199 "position out of bounds", goto error
);
201 isl_space_free(space
);
202 aff
= isl_aff_alloc(ls
);
206 pos
+= isl_local_space_offset(aff
->ls
, type
);
208 isl_int_set_si(aff
->v
->el
[0], 1);
209 isl_seq_clr(aff
->v
->el
+ 1, aff
->v
->size
- 1);
210 isl_int_set_si(aff
->v
->el
[1 + pos
], 1);
214 isl_local_space_free(ls
);
215 isl_space_free(space
);
219 /* Return a piecewise affine expression that is equal to
220 * the specified dimension in "ls".
222 __isl_give isl_pw_aff
*isl_pw_aff_var_on_domain(__isl_take isl_local_space
*ls
,
223 enum isl_dim_type type
, unsigned pos
)
225 return isl_pw_aff_from_aff(isl_aff_var_on_domain(ls
, type
, pos
));
228 __isl_give isl_aff
*isl_aff_copy(__isl_keep isl_aff
*aff
)
237 __isl_give isl_aff
*isl_aff_dup(__isl_keep isl_aff
*aff
)
242 return isl_aff_alloc_vec(isl_local_space_copy(aff
->ls
),
243 isl_vec_copy(aff
->v
));
246 __isl_give isl_aff
*isl_aff_cow(__isl_take isl_aff
*aff
)
254 return isl_aff_dup(aff
);
257 __isl_null isl_aff
*isl_aff_free(__isl_take isl_aff
*aff
)
265 isl_local_space_free(aff
->ls
);
266 isl_vec_free(aff
->v
);
273 isl_ctx
*isl_aff_get_ctx(__isl_keep isl_aff
*aff
)
275 return aff
? isl_local_space_get_ctx(aff
->ls
) : NULL
;
278 /* Return a hash value that digests "aff".
280 uint32_t isl_aff_get_hash(__isl_keep isl_aff
*aff
)
282 uint32_t hash
, ls_hash
, v_hash
;
287 hash
= isl_hash_init();
288 ls_hash
= isl_local_space_get_hash(aff
->ls
);
289 isl_hash_hash(hash
, ls_hash
);
290 v_hash
= isl_vec_get_hash(aff
->v
);
291 isl_hash_hash(hash
, v_hash
);
296 /* Externally, an isl_aff has a map space, but internally, the
297 * ls field corresponds to the domain of that space.
299 int isl_aff_dim(__isl_keep isl_aff
*aff
, enum isl_dim_type type
)
303 if (type
== isl_dim_out
)
305 if (type
== isl_dim_in
)
307 return isl_local_space_dim(aff
->ls
, type
);
310 /* Return the position of the dimension of the given type and name
312 * Return -1 if no such dimension can be found.
314 int isl_aff_find_dim_by_name(__isl_keep isl_aff
*aff
, enum isl_dim_type type
,
319 if (type
== isl_dim_out
)
321 if (type
== isl_dim_in
)
323 return isl_local_space_find_dim_by_name(aff
->ls
, type
, name
);
326 __isl_give isl_space
*isl_aff_get_domain_space(__isl_keep isl_aff
*aff
)
328 return aff
? isl_local_space_get_space(aff
->ls
) : NULL
;
331 __isl_give isl_space
*isl_aff_get_space(__isl_keep isl_aff
*aff
)
336 space
= isl_local_space_get_space(aff
->ls
);
337 space
= isl_space_from_domain(space
);
338 space
= isl_space_add_dims(space
, isl_dim_out
, 1);
342 __isl_give isl_local_space
*isl_aff_get_domain_local_space(
343 __isl_keep isl_aff
*aff
)
345 return aff
? isl_local_space_copy(aff
->ls
) : NULL
;
348 __isl_give isl_local_space
*isl_aff_get_local_space(__isl_keep isl_aff
*aff
)
353 ls
= isl_local_space_copy(aff
->ls
);
354 ls
= isl_local_space_from_domain(ls
);
355 ls
= isl_local_space_add_dims(ls
, isl_dim_out
, 1);
359 /* Externally, an isl_aff has a map space, but internally, the
360 * ls field corresponds to the domain of that space.
362 const char *isl_aff_get_dim_name(__isl_keep isl_aff
*aff
,
363 enum isl_dim_type type
, unsigned pos
)
367 if (type
== isl_dim_out
)
369 if (type
== isl_dim_in
)
371 return isl_local_space_get_dim_name(aff
->ls
, type
, pos
);
374 __isl_give isl_aff
*isl_aff_reset_domain_space(__isl_take isl_aff
*aff
,
375 __isl_take isl_space
*dim
)
377 aff
= isl_aff_cow(aff
);
381 aff
->ls
= isl_local_space_reset_space(aff
->ls
, dim
);
383 return isl_aff_free(aff
);
392 /* Reset the space of "aff". This function is called from isl_pw_templ.c
393 * and doesn't know if the space of an element object is represented
394 * directly or through its domain. It therefore passes along both.
396 __isl_give isl_aff
*isl_aff_reset_space_and_domain(__isl_take isl_aff
*aff
,
397 __isl_take isl_space
*space
, __isl_take isl_space
*domain
)
399 isl_space_free(space
);
400 return isl_aff_reset_domain_space(aff
, domain
);
403 /* Reorder the coefficients of the affine expression based
404 * on the given reodering.
405 * The reordering r is assumed to have been extended with the local
408 static __isl_give isl_vec
*vec_reorder(__isl_take isl_vec
*vec
,
409 __isl_take isl_reordering
*r
, int n_div
)
417 res
= isl_vec_alloc(vec
->ctx
,
418 2 + isl_space_dim(r
->dim
, isl_dim_all
) + n_div
);
419 isl_seq_cpy(res
->el
, vec
->el
, 2);
420 isl_seq_clr(res
->el
+ 2, res
->size
- 2);
421 for (i
= 0; i
< r
->len
; ++i
)
422 isl_int_set(res
->el
[2 + r
->pos
[i
]], vec
->el
[2 + i
]);
424 isl_reordering_free(r
);
429 isl_reordering_free(r
);
433 /* Reorder the dimensions of the domain of "aff" according
434 * to the given reordering.
436 __isl_give isl_aff
*isl_aff_realign_domain(__isl_take isl_aff
*aff
,
437 __isl_take isl_reordering
*r
)
439 aff
= isl_aff_cow(aff
);
443 r
= isl_reordering_extend(r
, aff
->ls
->div
->n_row
);
444 aff
->v
= vec_reorder(aff
->v
, isl_reordering_copy(r
),
445 aff
->ls
->div
->n_row
);
446 aff
->ls
= isl_local_space_realign(aff
->ls
, r
);
448 if (!aff
->v
|| !aff
->ls
)
449 return isl_aff_free(aff
);
454 isl_reordering_free(r
);
458 __isl_give isl_aff
*isl_aff_align_params(__isl_take isl_aff
*aff
,
459 __isl_take isl_space
*model
)
464 if (!isl_space_match(aff
->ls
->dim
, isl_dim_param
,
465 model
, isl_dim_param
)) {
468 model
= isl_space_drop_dims(model
, isl_dim_in
,
469 0, isl_space_dim(model
, isl_dim_in
));
470 model
= isl_space_drop_dims(model
, isl_dim_out
,
471 0, isl_space_dim(model
, isl_dim_out
));
472 exp
= isl_parameter_alignment_reordering(aff
->ls
->dim
, model
);
473 exp
= isl_reordering_extend_space(exp
,
474 isl_aff_get_domain_space(aff
));
475 aff
= isl_aff_realign_domain(aff
, exp
);
478 isl_space_free(model
);
481 isl_space_free(model
);
486 /* Is "aff" obviously equal to zero?
488 * If the denominator is zero, then "aff" is not equal to zero.
490 isl_bool
isl_aff_plain_is_zero(__isl_keep isl_aff
*aff
)
493 return isl_bool_error
;
495 if (isl_int_is_zero(aff
->v
->el
[0]))
496 return isl_bool_false
;
497 return isl_seq_first_non_zero(aff
->v
->el
+ 1, aff
->v
->size
- 1) < 0;
500 /* Does "aff" represent NaN?
502 isl_bool
isl_aff_is_nan(__isl_keep isl_aff
*aff
)
505 return isl_bool_error
;
507 return isl_seq_first_non_zero(aff
->v
->el
, 2) < 0;
510 /* Does "pa" involve any NaNs?
512 isl_bool
isl_pw_aff_involves_nan(__isl_keep isl_pw_aff
*pa
)
517 return isl_bool_error
;
519 return isl_bool_false
;
521 for (i
= 0; i
< pa
->n
; ++i
) {
522 isl_bool is_nan
= isl_aff_is_nan(pa
->p
[i
].aff
);
523 if (is_nan
< 0 || is_nan
)
527 return isl_bool_false
;
530 /* Are "aff1" and "aff2" obviously equal?
532 * NaN is not equal to anything, not even to another NaN.
534 isl_bool
isl_aff_plain_is_equal(__isl_keep isl_aff
*aff1
,
535 __isl_keep isl_aff
*aff2
)
540 return isl_bool_error
;
542 if (isl_aff_is_nan(aff1
) || isl_aff_is_nan(aff2
))
543 return isl_bool_false
;
545 equal
= isl_local_space_is_equal(aff1
->ls
, aff2
->ls
);
546 if (equal
< 0 || !equal
)
549 return isl_vec_is_equal(aff1
->v
, aff2
->v
);
552 /* Return the common denominator of "aff" in "v".
554 * We cannot return anything meaningful in case of a NaN.
556 int isl_aff_get_denominator(__isl_keep isl_aff
*aff
, isl_int
*v
)
560 if (isl_aff_is_nan(aff
))
561 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
562 "cannot get denominator of NaN", return -1);
563 isl_int_set(*v
, aff
->v
->el
[0]);
567 /* Return the common denominator of "aff".
569 __isl_give isl_val
*isl_aff_get_denominator_val(__isl_keep isl_aff
*aff
)
576 ctx
= isl_aff_get_ctx(aff
);
577 if (isl_aff_is_nan(aff
))
578 return isl_val_nan(ctx
);
579 return isl_val_int_from_isl_int(ctx
, aff
->v
->el
[0]);
582 /* Return the constant term of "aff" in "v".
584 * We cannot return anything meaningful in case of a NaN.
586 int isl_aff_get_constant(__isl_keep isl_aff
*aff
, isl_int
*v
)
590 if (isl_aff_is_nan(aff
))
591 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
592 "cannot get constant term of NaN", return -1);
593 isl_int_set(*v
, aff
->v
->el
[1]);
597 /* Return the constant term of "aff".
599 __isl_give isl_val
*isl_aff_get_constant_val(__isl_keep isl_aff
*aff
)
607 ctx
= isl_aff_get_ctx(aff
);
608 if (isl_aff_is_nan(aff
))
609 return isl_val_nan(ctx
);
610 v
= isl_val_rat_from_isl_int(ctx
, aff
->v
->el
[1], aff
->v
->el
[0]);
611 return isl_val_normalize(v
);
614 /* Return the coefficient of the variable of type "type" at position "pos"
617 * We cannot return anything meaningful in case of a NaN.
619 int isl_aff_get_coefficient(__isl_keep isl_aff
*aff
,
620 enum isl_dim_type type
, int pos
, isl_int
*v
)
625 if (type
== isl_dim_out
)
626 isl_die(aff
->v
->ctx
, isl_error_invalid
,
627 "output/set dimension does not have a coefficient",
629 if (type
== isl_dim_in
)
632 if (pos
>= isl_local_space_dim(aff
->ls
, type
))
633 isl_die(aff
->v
->ctx
, isl_error_invalid
,
634 "position out of bounds", return -1);
636 if (isl_aff_is_nan(aff
))
637 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
638 "cannot get coefficient of NaN", return -1);
639 pos
+= isl_local_space_offset(aff
->ls
, type
);
640 isl_int_set(*v
, aff
->v
->el
[1 + pos
]);
645 /* Return the coefficient of the variable of type "type" at position "pos"
648 __isl_give isl_val
*isl_aff_get_coefficient_val(__isl_keep isl_aff
*aff
,
649 enum isl_dim_type type
, int pos
)
657 ctx
= isl_aff_get_ctx(aff
);
658 if (type
== isl_dim_out
)
659 isl_die(ctx
, isl_error_invalid
,
660 "output/set dimension does not have a coefficient",
662 if (type
== isl_dim_in
)
665 if (pos
>= isl_local_space_dim(aff
->ls
, type
))
666 isl_die(ctx
, isl_error_invalid
,
667 "position out of bounds", return NULL
);
669 if (isl_aff_is_nan(aff
))
670 return isl_val_nan(ctx
);
671 pos
+= isl_local_space_offset(aff
->ls
, type
);
672 v
= isl_val_rat_from_isl_int(ctx
, aff
->v
->el
[1 + pos
], aff
->v
->el
[0]);
673 return isl_val_normalize(v
);
676 /* Return the sign of the coefficient of the variable of type "type"
677 * at position "pos" of "aff".
679 int isl_aff_coefficient_sgn(__isl_keep isl_aff
*aff
, enum isl_dim_type type
,
687 ctx
= isl_aff_get_ctx(aff
);
688 if (type
== isl_dim_out
)
689 isl_die(ctx
, isl_error_invalid
,
690 "output/set dimension does not have a coefficient",
692 if (type
== isl_dim_in
)
695 if (pos
>= isl_local_space_dim(aff
->ls
, type
))
696 isl_die(ctx
, isl_error_invalid
,
697 "position out of bounds", return 0);
699 pos
+= isl_local_space_offset(aff
->ls
, type
);
700 return isl_int_sgn(aff
->v
->el
[1 + pos
]);
703 /* Replace the denominator of "aff" by "v".
705 * A NaN is unaffected by this operation.
707 __isl_give isl_aff
*isl_aff_set_denominator(__isl_take isl_aff
*aff
, isl_int v
)
711 if (isl_aff_is_nan(aff
))
713 aff
= isl_aff_cow(aff
);
717 aff
->v
= isl_vec_cow(aff
->v
);
719 return isl_aff_free(aff
);
721 isl_int_set(aff
->v
->el
[0], v
);
726 /* Replace the numerator of the constant term of "aff" by "v".
728 * A NaN is unaffected by this operation.
730 __isl_give isl_aff
*isl_aff_set_constant(__isl_take isl_aff
*aff
, isl_int v
)
734 if (isl_aff_is_nan(aff
))
736 aff
= isl_aff_cow(aff
);
740 aff
->v
= isl_vec_cow(aff
->v
);
742 return isl_aff_free(aff
);
744 isl_int_set(aff
->v
->el
[1], v
);
749 /* Replace the constant term of "aff" by "v".
751 * A NaN is unaffected by this operation.
753 __isl_give isl_aff
*isl_aff_set_constant_val(__isl_take isl_aff
*aff
,
754 __isl_take isl_val
*v
)
759 if (isl_aff_is_nan(aff
)) {
764 if (!isl_val_is_rat(v
))
765 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
766 "expecting rational value", goto error
);
768 if (isl_int_eq(aff
->v
->el
[1], v
->n
) &&
769 isl_int_eq(aff
->v
->el
[0], v
->d
)) {
774 aff
= isl_aff_cow(aff
);
777 aff
->v
= isl_vec_cow(aff
->v
);
781 if (isl_int_eq(aff
->v
->el
[0], v
->d
)) {
782 isl_int_set(aff
->v
->el
[1], v
->n
);
783 } else if (isl_int_is_one(v
->d
)) {
784 isl_int_mul(aff
->v
->el
[1], aff
->v
->el
[0], v
->n
);
786 isl_seq_scale(aff
->v
->el
+ 1,
787 aff
->v
->el
+ 1, v
->d
, aff
->v
->size
- 1);
788 isl_int_mul(aff
->v
->el
[1], aff
->v
->el
[0], v
->n
);
789 isl_int_mul(aff
->v
->el
[0], aff
->v
->el
[0], v
->d
);
790 aff
->v
= isl_vec_normalize(aff
->v
);
803 /* Add "v" to the constant term of "aff".
805 * A NaN is unaffected by this operation.
807 __isl_give isl_aff
*isl_aff_add_constant(__isl_take isl_aff
*aff
, isl_int v
)
809 if (isl_int_is_zero(v
))
814 if (isl_aff_is_nan(aff
))
816 aff
= isl_aff_cow(aff
);
820 aff
->v
= isl_vec_cow(aff
->v
);
822 return isl_aff_free(aff
);
824 isl_int_addmul(aff
->v
->el
[1], aff
->v
->el
[0], v
);
829 /* Add "v" to the constant term of "aff".
831 * A NaN is unaffected by this operation.
833 __isl_give isl_aff
*isl_aff_add_constant_val(__isl_take isl_aff
*aff
,
834 __isl_take isl_val
*v
)
839 if (isl_aff_is_nan(aff
) || isl_val_is_zero(v
)) {
844 if (!isl_val_is_rat(v
))
845 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
846 "expecting rational value", goto error
);
848 aff
= isl_aff_cow(aff
);
852 aff
->v
= isl_vec_cow(aff
->v
);
856 if (isl_int_is_one(v
->d
)) {
857 isl_int_addmul(aff
->v
->el
[1], aff
->v
->el
[0], v
->n
);
858 } else if (isl_int_eq(aff
->v
->el
[0], v
->d
)) {
859 isl_int_add(aff
->v
->el
[1], aff
->v
->el
[1], v
->n
);
860 aff
->v
= isl_vec_normalize(aff
->v
);
864 isl_seq_scale(aff
->v
->el
+ 1,
865 aff
->v
->el
+ 1, v
->d
, aff
->v
->size
- 1);
866 isl_int_addmul(aff
->v
->el
[1], aff
->v
->el
[0], v
->n
);
867 isl_int_mul(aff
->v
->el
[0], aff
->v
->el
[0], v
->d
);
868 aff
->v
= isl_vec_normalize(aff
->v
);
881 __isl_give isl_aff
*isl_aff_add_constant_si(__isl_take isl_aff
*aff
, int v
)
886 isl_int_set_si(t
, v
);
887 aff
= isl_aff_add_constant(aff
, t
);
893 /* Add "v" to the numerator of the constant term of "aff".
895 * A NaN is unaffected by this operation.
897 __isl_give isl_aff
*isl_aff_add_constant_num(__isl_take isl_aff
*aff
, isl_int v
)
899 if (isl_int_is_zero(v
))
904 if (isl_aff_is_nan(aff
))
906 aff
= isl_aff_cow(aff
);
910 aff
->v
= isl_vec_cow(aff
->v
);
912 return isl_aff_free(aff
);
914 isl_int_add(aff
->v
->el
[1], aff
->v
->el
[1], v
);
919 /* Add "v" to the numerator of the constant term of "aff".
921 * A NaN is unaffected by this operation.
923 __isl_give isl_aff
*isl_aff_add_constant_num_si(__isl_take isl_aff
*aff
, int v
)
931 isl_int_set_si(t
, v
);
932 aff
= isl_aff_add_constant_num(aff
, t
);
938 /* Replace the numerator of the constant term of "aff" by "v".
940 * A NaN is unaffected by this operation.
942 __isl_give isl_aff
*isl_aff_set_constant_si(__isl_take isl_aff
*aff
, int v
)
946 if (isl_aff_is_nan(aff
))
948 aff
= isl_aff_cow(aff
);
952 aff
->v
= isl_vec_cow(aff
->v
);
954 return isl_aff_free(aff
);
956 isl_int_set_si(aff
->v
->el
[1], v
);
961 /* Replace the numerator of the coefficient of the variable of type "type"
962 * at position "pos" of "aff" by "v".
964 * A NaN is unaffected by this operation.
966 __isl_give isl_aff
*isl_aff_set_coefficient(__isl_take isl_aff
*aff
,
967 enum isl_dim_type type
, int pos
, isl_int v
)
972 if (type
== isl_dim_out
)
973 isl_die(aff
->v
->ctx
, isl_error_invalid
,
974 "output/set dimension does not have a coefficient",
975 return isl_aff_free(aff
));
976 if (type
== isl_dim_in
)
979 if (pos
>= isl_local_space_dim(aff
->ls
, type
))
980 isl_die(aff
->v
->ctx
, isl_error_invalid
,
981 "position out of bounds", return isl_aff_free(aff
));
983 if (isl_aff_is_nan(aff
))
985 aff
= isl_aff_cow(aff
);
989 aff
->v
= isl_vec_cow(aff
->v
);
991 return isl_aff_free(aff
);
993 pos
+= isl_local_space_offset(aff
->ls
, type
);
994 isl_int_set(aff
->v
->el
[1 + pos
], v
);
999 /* Replace the numerator of the coefficient of the variable of type "type"
1000 * at position "pos" of "aff" by "v".
1002 * A NaN is unaffected by this operation.
1004 __isl_give isl_aff
*isl_aff_set_coefficient_si(__isl_take isl_aff
*aff
,
1005 enum isl_dim_type type
, int pos
, int v
)
1010 if (type
== isl_dim_out
)
1011 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1012 "output/set dimension does not have a coefficient",
1013 return isl_aff_free(aff
));
1014 if (type
== isl_dim_in
)
1017 if (pos
< 0 || pos
>= isl_local_space_dim(aff
->ls
, type
))
1018 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1019 "position out of bounds", return isl_aff_free(aff
));
1021 if (isl_aff_is_nan(aff
))
1023 pos
+= isl_local_space_offset(aff
->ls
, type
);
1024 if (isl_int_cmp_si(aff
->v
->el
[1 + pos
], v
) == 0)
1027 aff
= isl_aff_cow(aff
);
1031 aff
->v
= isl_vec_cow(aff
->v
);
1033 return isl_aff_free(aff
);
1035 isl_int_set_si(aff
->v
->el
[1 + pos
], v
);
1040 /* Replace the coefficient of the variable of type "type" at position "pos"
1043 * A NaN is unaffected by this operation.
1045 __isl_give isl_aff
*isl_aff_set_coefficient_val(__isl_take isl_aff
*aff
,
1046 enum isl_dim_type type
, int pos
, __isl_take isl_val
*v
)
1051 if (type
== isl_dim_out
)
1052 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1053 "output/set dimension does not have a coefficient",
1055 if (type
== isl_dim_in
)
1058 if (pos
>= isl_local_space_dim(aff
->ls
, type
))
1059 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1060 "position out of bounds", goto error
);
1062 if (isl_aff_is_nan(aff
)) {
1066 if (!isl_val_is_rat(v
))
1067 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
1068 "expecting rational value", goto error
);
1070 pos
+= isl_local_space_offset(aff
->ls
, type
);
1071 if (isl_int_eq(aff
->v
->el
[1 + pos
], v
->n
) &&
1072 isl_int_eq(aff
->v
->el
[0], v
->d
)) {
1077 aff
= isl_aff_cow(aff
);
1080 aff
->v
= isl_vec_cow(aff
->v
);
1084 if (isl_int_eq(aff
->v
->el
[0], v
->d
)) {
1085 isl_int_set(aff
->v
->el
[1 + pos
], v
->n
);
1086 } else if (isl_int_is_one(v
->d
)) {
1087 isl_int_mul(aff
->v
->el
[1 + pos
], aff
->v
->el
[0], v
->n
);
1089 isl_seq_scale(aff
->v
->el
+ 1,
1090 aff
->v
->el
+ 1, v
->d
, aff
->v
->size
- 1);
1091 isl_int_mul(aff
->v
->el
[1 + pos
], aff
->v
->el
[0], v
->n
);
1092 isl_int_mul(aff
->v
->el
[0], aff
->v
->el
[0], v
->d
);
1093 aff
->v
= isl_vec_normalize(aff
->v
);
1106 /* Add "v" to the coefficient of the variable of type "type"
1107 * at position "pos" of "aff".
1109 * A NaN is unaffected by this operation.
1111 __isl_give isl_aff
*isl_aff_add_coefficient(__isl_take isl_aff
*aff
,
1112 enum isl_dim_type type
, int pos
, isl_int v
)
1117 if (type
== isl_dim_out
)
1118 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1119 "output/set dimension does not have a coefficient",
1120 return isl_aff_free(aff
));
1121 if (type
== isl_dim_in
)
1124 if (pos
>= isl_local_space_dim(aff
->ls
, type
))
1125 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1126 "position out of bounds", return isl_aff_free(aff
));
1128 if (isl_aff_is_nan(aff
))
1130 aff
= isl_aff_cow(aff
);
1134 aff
->v
= isl_vec_cow(aff
->v
);
1136 return isl_aff_free(aff
);
1138 pos
+= isl_local_space_offset(aff
->ls
, type
);
1139 isl_int_addmul(aff
->v
->el
[1 + pos
], aff
->v
->el
[0], v
);
1144 /* Add "v" to the coefficient of the variable of type "type"
1145 * at position "pos" of "aff".
1147 * A NaN is unaffected by this operation.
1149 __isl_give isl_aff
*isl_aff_add_coefficient_val(__isl_take isl_aff
*aff
,
1150 enum isl_dim_type type
, int pos
, __isl_take isl_val
*v
)
1155 if (isl_val_is_zero(v
)) {
1160 if (type
== isl_dim_out
)
1161 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1162 "output/set dimension does not have a coefficient",
1164 if (type
== isl_dim_in
)
1167 if (pos
>= isl_local_space_dim(aff
->ls
, type
))
1168 isl_die(aff
->v
->ctx
, isl_error_invalid
,
1169 "position out of bounds", goto error
);
1171 if (isl_aff_is_nan(aff
)) {
1175 if (!isl_val_is_rat(v
))
1176 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
1177 "expecting rational value", goto error
);
1179 aff
= isl_aff_cow(aff
);
1183 aff
->v
= isl_vec_cow(aff
->v
);
1187 pos
+= isl_local_space_offset(aff
->ls
, type
);
1188 if (isl_int_is_one(v
->d
)) {
1189 isl_int_addmul(aff
->v
->el
[1 + pos
], aff
->v
->el
[0], v
->n
);
1190 } else if (isl_int_eq(aff
->v
->el
[0], v
->d
)) {
1191 isl_int_add(aff
->v
->el
[1 + pos
], aff
->v
->el
[1 + pos
], v
->n
);
1192 aff
->v
= isl_vec_normalize(aff
->v
);
1196 isl_seq_scale(aff
->v
->el
+ 1,
1197 aff
->v
->el
+ 1, v
->d
, aff
->v
->size
- 1);
1198 isl_int_addmul(aff
->v
->el
[1 + pos
], aff
->v
->el
[0], v
->n
);
1199 isl_int_mul(aff
->v
->el
[0], aff
->v
->el
[0], v
->d
);
1200 aff
->v
= isl_vec_normalize(aff
->v
);
1213 __isl_give isl_aff
*isl_aff_add_coefficient_si(__isl_take isl_aff
*aff
,
1214 enum isl_dim_type type
, int pos
, int v
)
1219 isl_int_set_si(t
, v
);
1220 aff
= isl_aff_add_coefficient(aff
, type
, pos
, t
);
1226 __isl_give isl_aff
*isl_aff_get_div(__isl_keep isl_aff
*aff
, int pos
)
1231 return isl_local_space_get_div(aff
->ls
, pos
);
1234 /* Return the negation of "aff".
1236 * As a special case, -NaN = NaN.
1238 __isl_give isl_aff
*isl_aff_neg(__isl_take isl_aff
*aff
)
1242 if (isl_aff_is_nan(aff
))
1244 aff
= isl_aff_cow(aff
);
1247 aff
->v
= isl_vec_cow(aff
->v
);
1249 return isl_aff_free(aff
);
1251 isl_seq_neg(aff
->v
->el
+ 1, aff
->v
->el
+ 1, aff
->v
->size
- 1);
1256 /* Remove divs from the local space that do not appear in the affine
1258 * We currently only remove divs at the end.
1259 * Some intermediate divs may also not appear directly in the affine
1260 * expression, but we would also need to check that no other divs are
1261 * defined in terms of them.
1263 __isl_give isl_aff
*isl_aff_remove_unused_divs(__isl_take isl_aff
*aff
)
1272 n
= isl_local_space_dim(aff
->ls
, isl_dim_div
);
1273 off
= isl_local_space_offset(aff
->ls
, isl_dim_div
);
1275 pos
= isl_seq_last_non_zero(aff
->v
->el
+ 1 + off
, n
) + 1;
1279 aff
= isl_aff_cow(aff
);
1283 aff
->ls
= isl_local_space_drop_dims(aff
->ls
, isl_dim_div
, pos
, n
- pos
);
1284 aff
->v
= isl_vec_drop_els(aff
->v
, 1 + off
+ pos
, n
- pos
);
1285 if (!aff
->ls
|| !aff
->v
)
1286 return isl_aff_free(aff
);
1291 /* Given two affine expressions "p" of length p_len (including the
1292 * denominator and the constant term) and "subs" of length subs_len,
1293 * plug in "subs" for the variable at position "pos".
1294 * The variables of "subs" and "p" are assumed to match up to subs_len,
1295 * but "p" may have additional variables.
1296 * "v" is an initialized isl_int that can be used internally.
1298 * In particular, if "p" represents the expression
1302 * with i the variable at position "pos" and "subs" represents the expression
1306 * then the result represents the expression
1311 void isl_seq_substitute(isl_int
*p
, int pos
, isl_int
*subs
,
1312 int p_len
, int subs_len
, isl_int v
)
1314 isl_int_set(v
, p
[1 + pos
]);
1315 isl_int_set_si(p
[1 + pos
], 0);
1316 isl_seq_combine(p
+ 1, subs
[0], p
+ 1, v
, subs
+ 1, subs_len
- 1);
1317 isl_seq_scale(p
+ subs_len
, p
+ subs_len
, subs
[0], p_len
- subs_len
);
1318 isl_int_mul(p
[0], p
[0], subs
[0]);
1321 /* Look for any divs in the aff->ls with a denominator equal to one
1322 * and plug them into the affine expression and any subsequent divs
1323 * that may reference the div.
1325 static __isl_give isl_aff
*plug_in_integral_divs(__isl_take isl_aff
*aff
)
1331 isl_local_space
*ls
;
1337 n
= isl_local_space_dim(aff
->ls
, isl_dim_div
);
1339 for (i
= 0; i
< n
; ++i
) {
1340 if (!isl_int_is_one(aff
->ls
->div
->row
[i
][0]))
1342 ls
= isl_local_space_copy(aff
->ls
);
1343 ls
= isl_local_space_substitute_seq(ls
, isl_dim_div
, i
,
1344 aff
->ls
->div
->row
[i
], len
, i
+ 1, n
- (i
+ 1));
1345 vec
= isl_vec_copy(aff
->v
);
1346 vec
= isl_vec_cow(vec
);
1352 pos
= isl_local_space_offset(aff
->ls
, isl_dim_div
) + i
;
1353 isl_seq_substitute(vec
->el
, pos
, aff
->ls
->div
->row
[i
],
1358 isl_vec_free(aff
->v
);
1360 isl_local_space_free(aff
->ls
);
1367 isl_local_space_free(ls
);
1368 return isl_aff_free(aff
);
1371 /* Look for any divs j that appear with a unit coefficient inside
1372 * the definitions of other divs i and plug them into the definitions
1375 * In particular, an expression of the form
1377 * floor((f(..) + floor(g(..)/n))/m)
1381 * floor((n * f(..) + g(..))/(n * m))
1383 * This simplification is correct because we can move the expression
1384 * f(..) into the inner floor in the original expression to obtain
1386 * floor(floor((n * f(..) + g(..))/n)/m)
1388 * from which we can derive the simplified expression.
1390 static __isl_give isl_aff
*plug_in_unit_divs(__isl_take isl_aff
*aff
)
1398 n
= isl_local_space_dim(aff
->ls
, isl_dim_div
);
1399 off
= isl_local_space_offset(aff
->ls
, isl_dim_div
);
1400 for (i
= 1; i
< n
; ++i
) {
1401 for (j
= 0; j
< i
; ++j
) {
1402 if (!isl_int_is_one(aff
->ls
->div
->row
[i
][1 + off
+ j
]))
1404 aff
->ls
= isl_local_space_substitute_seq(aff
->ls
,
1405 isl_dim_div
, j
, aff
->ls
->div
->row
[j
],
1406 aff
->v
->size
, i
, 1);
1408 return isl_aff_free(aff
);
1415 /* Swap divs "a" and "b" in "aff", which is assumed to be non-NULL.
1417 * Even though this function is only called on isl_affs with a single
1418 * reference, we are careful to only change aff->v and aff->ls together.
1420 static __isl_give isl_aff
*swap_div(__isl_take isl_aff
*aff
, int a
, int b
)
1422 unsigned off
= isl_local_space_offset(aff
->ls
, isl_dim_div
);
1423 isl_local_space
*ls
;
1426 ls
= isl_local_space_copy(aff
->ls
);
1427 ls
= isl_local_space_swap_div(ls
, a
, b
);
1428 v
= isl_vec_copy(aff
->v
);
1433 isl_int_swap(v
->el
[1 + off
+ a
], v
->el
[1 + off
+ b
]);
1434 isl_vec_free(aff
->v
);
1436 isl_local_space_free(aff
->ls
);
1442 isl_local_space_free(ls
);
1443 return isl_aff_free(aff
);
1446 /* Merge divs "a" and "b" in "aff", which is assumed to be non-NULL.
1448 * We currently do not actually remove div "b", but simply add its
1449 * coefficient to that of "a" and then zero it out.
1451 static __isl_give isl_aff
*merge_divs(__isl_take isl_aff
*aff
, int a
, int b
)
1453 unsigned off
= isl_local_space_offset(aff
->ls
, isl_dim_div
);
1455 if (isl_int_is_zero(aff
->v
->el
[1 + off
+ b
]))
1458 aff
->v
= isl_vec_cow(aff
->v
);
1460 return isl_aff_free(aff
);
1462 isl_int_add(aff
->v
->el
[1 + off
+ a
],
1463 aff
->v
->el
[1 + off
+ a
], aff
->v
->el
[1 + off
+ b
]);
1464 isl_int_set_si(aff
->v
->el
[1 + off
+ b
], 0);
1469 /* Sort the divs in the local space of "aff" according to
1470 * the comparison function "cmp_row" in isl_local_space.c,
1471 * combining the coefficients of identical divs.
1473 * Reordering divs does not change the semantics of "aff",
1474 * so there is no need to call isl_aff_cow.
1475 * Moreover, this function is currently only called on isl_affs
1476 * with a single reference.
1478 static __isl_give isl_aff
*sort_divs(__isl_take isl_aff
*aff
)
1485 n
= isl_aff_dim(aff
, isl_dim_div
);
1486 for (i
= 1; i
< n
; ++i
) {
1487 for (j
= i
- 1; j
>= 0; --j
) {
1488 int cmp
= isl_mat_cmp_div(aff
->ls
->div
, j
, j
+ 1);
1492 aff
= merge_divs(aff
, j
, j
+ 1);
1494 aff
= swap_div(aff
, j
, j
+ 1);
1503 /* Normalize the representation of "aff".
1505 * This function should only be called of "new" isl_affs, i.e.,
1506 * with only a single reference. We therefore do not need to
1507 * worry about affecting other instances.
1509 __isl_give isl_aff
*isl_aff_normalize(__isl_take isl_aff
*aff
)
1513 aff
->v
= isl_vec_normalize(aff
->v
);
1515 return isl_aff_free(aff
);
1516 aff
= plug_in_integral_divs(aff
);
1517 aff
= plug_in_unit_divs(aff
);
1518 aff
= sort_divs(aff
);
1519 aff
= isl_aff_remove_unused_divs(aff
);
1523 /* Given f, return floor(f).
1524 * If f is an integer expression, then just return f.
1525 * If f is a constant, then return the constant floor(f).
1526 * Otherwise, if f = g/m, write g = q m + r,
1527 * create a new div d = [r/m] and return the expression q + d.
1528 * The coefficients in r are taken to lie between -m/2 and m/2.
1530 * As a special case, floor(NaN) = NaN.
1532 __isl_give isl_aff
*isl_aff_floor(__isl_take isl_aff
*aff
)
1542 if (isl_aff_is_nan(aff
))
1544 if (isl_int_is_one(aff
->v
->el
[0]))
1547 aff
= isl_aff_cow(aff
);
1551 aff
->v
= isl_vec_cow(aff
->v
);
1553 return isl_aff_free(aff
);
1555 if (isl_aff_is_cst(aff
)) {
1556 isl_int_fdiv_q(aff
->v
->el
[1], aff
->v
->el
[1], aff
->v
->el
[0]);
1557 isl_int_set_si(aff
->v
->el
[0], 1);
1561 div
= isl_vec_copy(aff
->v
);
1562 div
= isl_vec_cow(div
);
1564 return isl_aff_free(aff
);
1566 ctx
= isl_aff_get_ctx(aff
);
1567 isl_int_fdiv_q(aff
->v
->el
[0], aff
->v
->el
[0], ctx
->two
);
1568 for (i
= 1; i
< aff
->v
->size
; ++i
) {
1569 isl_int_fdiv_r(div
->el
[i
], div
->el
[i
], div
->el
[0]);
1570 isl_int_fdiv_q(aff
->v
->el
[i
], aff
->v
->el
[i
], div
->el
[0]);
1571 if (isl_int_gt(div
->el
[i
], aff
->v
->el
[0])) {
1572 isl_int_sub(div
->el
[i
], div
->el
[i
], div
->el
[0]);
1573 isl_int_add_ui(aff
->v
->el
[i
], aff
->v
->el
[i
], 1);
1577 aff
->ls
= isl_local_space_add_div(aff
->ls
, div
);
1579 return isl_aff_free(aff
);
1581 size
= aff
->v
->size
;
1582 aff
->v
= isl_vec_extend(aff
->v
, size
+ 1);
1584 return isl_aff_free(aff
);
1585 isl_int_set_si(aff
->v
->el
[0], 1);
1586 isl_int_set_si(aff
->v
->el
[size
], 1);
1588 aff
= isl_aff_normalize(aff
);
1595 * aff mod m = aff - m * floor(aff/m)
1597 __isl_give isl_aff
*isl_aff_mod(__isl_take isl_aff
*aff
, isl_int m
)
1601 res
= isl_aff_copy(aff
);
1602 aff
= isl_aff_scale_down(aff
, m
);
1603 aff
= isl_aff_floor(aff
);
1604 aff
= isl_aff_scale(aff
, m
);
1605 res
= isl_aff_sub(res
, aff
);
1612 * aff mod m = aff - m * floor(aff/m)
1614 * with m an integer value.
1616 __isl_give isl_aff
*isl_aff_mod_val(__isl_take isl_aff
*aff
,
1617 __isl_take isl_val
*m
)
1624 if (!isl_val_is_int(m
))
1625 isl_die(isl_val_get_ctx(m
), isl_error_invalid
,
1626 "expecting integer modulo", goto error
);
1628 res
= isl_aff_copy(aff
);
1629 aff
= isl_aff_scale_down_val(aff
, isl_val_copy(m
));
1630 aff
= isl_aff_floor(aff
);
1631 aff
= isl_aff_scale_val(aff
, m
);
1632 res
= isl_aff_sub(res
, aff
);
1643 * pwaff mod m = pwaff - m * floor(pwaff/m)
1645 __isl_give isl_pw_aff
*isl_pw_aff_mod(__isl_take isl_pw_aff
*pwaff
, isl_int m
)
1649 res
= isl_pw_aff_copy(pwaff
);
1650 pwaff
= isl_pw_aff_scale_down(pwaff
, m
);
1651 pwaff
= isl_pw_aff_floor(pwaff
);
1652 pwaff
= isl_pw_aff_scale(pwaff
, m
);
1653 res
= isl_pw_aff_sub(res
, pwaff
);
1660 * pa mod m = pa - m * floor(pa/m)
1662 * with m an integer value.
1664 __isl_give isl_pw_aff
*isl_pw_aff_mod_val(__isl_take isl_pw_aff
*pa
,
1665 __isl_take isl_val
*m
)
1669 if (!isl_val_is_int(m
))
1670 isl_die(isl_pw_aff_get_ctx(pa
), isl_error_invalid
,
1671 "expecting integer modulo", goto error
);
1672 pa
= isl_pw_aff_mod(pa
, m
->n
);
1676 isl_pw_aff_free(pa
);
1681 /* Given f, return ceil(f).
1682 * If f is an integer expression, then just return f.
1683 * Otherwise, let f be the expression
1689 * floor((e + m - 1)/m)
1691 * As a special case, ceil(NaN) = NaN.
1693 __isl_give isl_aff
*isl_aff_ceil(__isl_take isl_aff
*aff
)
1698 if (isl_aff_is_nan(aff
))
1700 if (isl_int_is_one(aff
->v
->el
[0]))
1703 aff
= isl_aff_cow(aff
);
1706 aff
->v
= isl_vec_cow(aff
->v
);
1708 return isl_aff_free(aff
);
1710 isl_int_add(aff
->v
->el
[1], aff
->v
->el
[1], aff
->v
->el
[0]);
1711 isl_int_sub_ui(aff
->v
->el
[1], aff
->v
->el
[1], 1);
1712 aff
= isl_aff_floor(aff
);
1717 /* Apply the expansion computed by isl_merge_divs.
1718 * The expansion itself is given by "exp" while the resulting
1719 * list of divs is given by "div".
1721 __isl_give isl_aff
*isl_aff_expand_divs(__isl_take isl_aff
*aff
,
1722 __isl_take isl_mat
*div
, int *exp
)
1729 aff
= isl_aff_cow(aff
);
1733 old_n_div
= isl_local_space_dim(aff
->ls
, isl_dim_div
);
1734 new_n_div
= isl_mat_rows(div
);
1735 if (new_n_div
< old_n_div
)
1736 isl_die(isl_mat_get_ctx(div
), isl_error_invalid
,
1737 "not an expansion", goto error
);
1739 aff
->v
= isl_vec_extend(aff
->v
, aff
->v
->size
+ new_n_div
- old_n_div
);
1743 offset
= 1 + isl_local_space_offset(aff
->ls
, isl_dim_div
);
1745 for (i
= new_n_div
- 1; i
>= 0; --i
) {
1746 if (j
>= 0 && exp
[j
] == i
) {
1748 isl_int_swap(aff
->v
->el
[offset
+ i
],
1749 aff
->v
->el
[offset
+ j
]);
1752 isl_int_set_si(aff
->v
->el
[offset
+ i
], 0);
1755 aff
->ls
= isl_local_space_replace_divs(aff
->ls
, isl_mat_copy(div
));
1766 /* Add two affine expressions that live in the same local space.
1768 static __isl_give isl_aff
*add_expanded(__isl_take isl_aff
*aff1
,
1769 __isl_take isl_aff
*aff2
)
1773 aff1
= isl_aff_cow(aff1
);
1777 aff1
->v
= isl_vec_cow(aff1
->v
);
1783 isl_int_gcd(gcd
, aff1
->v
->el
[0], aff2
->v
->el
[0]);
1784 isl_int_divexact(f
, aff2
->v
->el
[0], gcd
);
1785 isl_seq_scale(aff1
->v
->el
+ 1, aff1
->v
->el
+ 1, f
, aff1
->v
->size
- 1);
1786 isl_int_divexact(f
, aff1
->v
->el
[0], gcd
);
1787 isl_seq_addmul(aff1
->v
->el
+ 1, f
, aff2
->v
->el
+ 1, aff1
->v
->size
- 1);
1788 isl_int_divexact(f
, aff2
->v
->el
[0], gcd
);
1789 isl_int_mul(aff1
->v
->el
[0], aff1
->v
->el
[0], f
);
1801 /* Return the sum of "aff1" and "aff2".
1803 * If either of the two is NaN, then the result is NaN.
1805 __isl_give isl_aff
*isl_aff_add(__isl_take isl_aff
*aff1
,
1806 __isl_take isl_aff
*aff2
)
1817 ctx
= isl_aff_get_ctx(aff1
);
1818 if (!isl_space_is_equal(aff1
->ls
->dim
, aff2
->ls
->dim
))
1819 isl_die(ctx
, isl_error_invalid
,
1820 "spaces don't match", goto error
);
1822 if (isl_aff_is_nan(aff1
)) {
1826 if (isl_aff_is_nan(aff2
)) {
1831 n_div1
= isl_aff_dim(aff1
, isl_dim_div
);
1832 n_div2
= isl_aff_dim(aff2
, isl_dim_div
);
1833 if (n_div1
== 0 && n_div2
== 0)
1834 return add_expanded(aff1
, aff2
);
1836 exp1
= isl_alloc_array(ctx
, int, n_div1
);
1837 exp2
= isl_alloc_array(ctx
, int, n_div2
);
1838 if ((n_div1
&& !exp1
) || (n_div2
&& !exp2
))
1841 div
= isl_merge_divs(aff1
->ls
->div
, aff2
->ls
->div
, exp1
, exp2
);
1842 aff1
= isl_aff_expand_divs(aff1
, isl_mat_copy(div
), exp1
);
1843 aff2
= isl_aff_expand_divs(aff2
, div
, exp2
);
1847 return add_expanded(aff1
, aff2
);
1856 __isl_give isl_aff
*isl_aff_sub(__isl_take isl_aff
*aff1
,
1857 __isl_take isl_aff
*aff2
)
1859 return isl_aff_add(aff1
, isl_aff_neg(aff2
));
1862 /* Return the result of scaling "aff" by a factor of "f".
1864 * As a special case, f * NaN = NaN.
1866 __isl_give isl_aff
*isl_aff_scale(__isl_take isl_aff
*aff
, isl_int f
)
1872 if (isl_aff_is_nan(aff
))
1875 if (isl_int_is_one(f
))
1878 aff
= isl_aff_cow(aff
);
1881 aff
->v
= isl_vec_cow(aff
->v
);
1883 return isl_aff_free(aff
);
1885 if (isl_int_is_pos(f
) && isl_int_is_divisible_by(aff
->v
->el
[0], f
)) {
1886 isl_int_divexact(aff
->v
->el
[0], aff
->v
->el
[0], f
);
1891 isl_int_gcd(gcd
, aff
->v
->el
[0], f
);
1892 isl_int_divexact(aff
->v
->el
[0], aff
->v
->el
[0], gcd
);
1893 isl_int_divexact(gcd
, f
, gcd
);
1894 isl_seq_scale(aff
->v
->el
+ 1, aff
->v
->el
+ 1, gcd
, aff
->v
->size
- 1);
1900 /* Multiple "aff" by "v".
1902 __isl_give isl_aff
*isl_aff_scale_val(__isl_take isl_aff
*aff
,
1903 __isl_take isl_val
*v
)
1908 if (isl_val_is_one(v
)) {
1913 if (!isl_val_is_rat(v
))
1914 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
1915 "expecting rational factor", goto error
);
1917 aff
= isl_aff_scale(aff
, v
->n
);
1918 aff
= isl_aff_scale_down(aff
, v
->d
);
1928 /* Return the result of scaling "aff" down by a factor of "f".
1930 * As a special case, NaN/f = NaN.
1932 __isl_give isl_aff
*isl_aff_scale_down(__isl_take isl_aff
*aff
, isl_int f
)
1938 if (isl_aff_is_nan(aff
))
1941 if (isl_int_is_one(f
))
1944 aff
= isl_aff_cow(aff
);
1948 if (isl_int_is_zero(f
))
1949 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
1950 "cannot scale down by zero", return isl_aff_free(aff
));
1952 aff
->v
= isl_vec_cow(aff
->v
);
1954 return isl_aff_free(aff
);
1957 isl_seq_gcd(aff
->v
->el
+ 1, aff
->v
->size
- 1, &gcd
);
1958 isl_int_gcd(gcd
, gcd
, f
);
1959 isl_seq_scale_down(aff
->v
->el
+ 1, aff
->v
->el
+ 1, gcd
, aff
->v
->size
- 1);
1960 isl_int_divexact(gcd
, f
, gcd
);
1961 isl_int_mul(aff
->v
->el
[0], aff
->v
->el
[0], gcd
);
1967 /* Divide "aff" by "v".
1969 __isl_give isl_aff
*isl_aff_scale_down_val(__isl_take isl_aff
*aff
,
1970 __isl_take isl_val
*v
)
1975 if (isl_val_is_one(v
)) {
1980 if (!isl_val_is_rat(v
))
1981 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
1982 "expecting rational factor", goto error
);
1983 if (!isl_val_is_pos(v
))
1984 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
1985 "factor needs to be positive", goto error
);
1987 aff
= isl_aff_scale(aff
, v
->d
);
1988 aff
= isl_aff_scale_down(aff
, v
->n
);
1998 __isl_give isl_aff
*isl_aff_scale_down_ui(__isl_take isl_aff
*aff
, unsigned f
)
2006 isl_int_set_ui(v
, f
);
2007 aff
= isl_aff_scale_down(aff
, v
);
2013 __isl_give isl_aff
*isl_aff_set_dim_name(__isl_take isl_aff
*aff
,
2014 enum isl_dim_type type
, unsigned pos
, const char *s
)
2016 aff
= isl_aff_cow(aff
);
2019 if (type
== isl_dim_out
)
2020 isl_die(aff
->v
->ctx
, isl_error_invalid
,
2021 "cannot set name of output/set dimension",
2022 return isl_aff_free(aff
));
2023 if (type
== isl_dim_in
)
2025 aff
->ls
= isl_local_space_set_dim_name(aff
->ls
, type
, pos
, s
);
2027 return isl_aff_free(aff
);
2032 __isl_give isl_aff
*isl_aff_set_dim_id(__isl_take isl_aff
*aff
,
2033 enum isl_dim_type type
, unsigned pos
, __isl_take isl_id
*id
)
2035 aff
= isl_aff_cow(aff
);
2038 if (type
== isl_dim_out
)
2039 isl_die(aff
->v
->ctx
, isl_error_invalid
,
2040 "cannot set name of output/set dimension",
2042 if (type
== isl_dim_in
)
2044 aff
->ls
= isl_local_space_set_dim_id(aff
->ls
, type
, pos
, id
);
2046 return isl_aff_free(aff
);
2055 /* Replace the identifier of the input tuple of "aff" by "id".
2056 * type is currently required to be equal to isl_dim_in
2058 __isl_give isl_aff
*isl_aff_set_tuple_id(__isl_take isl_aff
*aff
,
2059 enum isl_dim_type type
, __isl_take isl_id
*id
)
2061 aff
= isl_aff_cow(aff
);
2064 if (type
!= isl_dim_out
)
2065 isl_die(aff
->v
->ctx
, isl_error_invalid
,
2066 "cannot only set id of input tuple", goto error
);
2067 aff
->ls
= isl_local_space_set_tuple_id(aff
->ls
, isl_dim_set
, id
);
2069 return isl_aff_free(aff
);
2078 /* Exploit the equalities in "eq" to simplify the affine expression
2079 * and the expressions of the integer divisions in the local space.
2080 * The integer divisions in this local space are assumed to appear
2081 * as regular dimensions in "eq".
2083 static __isl_give isl_aff
*isl_aff_substitute_equalities_lifted(
2084 __isl_take isl_aff
*aff
, __isl_take isl_basic_set
*eq
)
2092 if (eq
->n_eq
== 0) {
2093 isl_basic_set_free(eq
);
2097 aff
= isl_aff_cow(aff
);
2101 aff
->ls
= isl_local_space_substitute_equalities(aff
->ls
,
2102 isl_basic_set_copy(eq
));
2103 aff
->v
= isl_vec_cow(aff
->v
);
2104 if (!aff
->ls
|| !aff
->v
)
2107 total
= 1 + isl_space_dim(eq
->dim
, isl_dim_all
);
2109 for (i
= 0; i
< eq
->n_eq
; ++i
) {
2110 j
= isl_seq_last_non_zero(eq
->eq
[i
], total
+ n_div
);
2111 if (j
< 0 || j
== 0 || j
>= total
)
2114 isl_seq_elim(aff
->v
->el
+ 1, eq
->eq
[i
], j
, total
,
2118 isl_basic_set_free(eq
);
2119 aff
= isl_aff_normalize(aff
);
2122 isl_basic_set_free(eq
);
2127 /* Exploit the equalities in "eq" to simplify the affine expression
2128 * and the expressions of the integer divisions in the local space.
2130 __isl_give isl_aff
*isl_aff_substitute_equalities(__isl_take isl_aff
*aff
,
2131 __isl_take isl_basic_set
*eq
)
2137 n_div
= isl_local_space_dim(aff
->ls
, isl_dim_div
);
2139 eq
= isl_basic_set_add_dims(eq
, isl_dim_set
, n_div
);
2140 return isl_aff_substitute_equalities_lifted(aff
, eq
);
2142 isl_basic_set_free(eq
);
2147 /* Look for equalities among the variables shared by context and aff
2148 * and the integer divisions of aff, if any.
2149 * The equalities are then used to eliminate coefficients and/or integer
2150 * divisions from aff.
2152 __isl_give isl_aff
*isl_aff_gist(__isl_take isl_aff
*aff
,
2153 __isl_take isl_set
*context
)
2155 isl_basic_set
*hull
;
2160 n_div
= isl_local_space_dim(aff
->ls
, isl_dim_div
);
2162 isl_basic_set
*bset
;
2163 isl_local_space
*ls
;
2164 context
= isl_set_add_dims(context
, isl_dim_set
, n_div
);
2165 ls
= isl_aff_get_domain_local_space(aff
);
2166 bset
= isl_basic_set_from_local_space(ls
);
2167 bset
= isl_basic_set_lift(bset
);
2168 bset
= isl_basic_set_flatten(bset
);
2169 context
= isl_set_intersect(context
,
2170 isl_set_from_basic_set(bset
));
2173 hull
= isl_set_affine_hull(context
);
2174 return isl_aff_substitute_equalities_lifted(aff
, hull
);
2177 isl_set_free(context
);
2181 __isl_give isl_aff
*isl_aff_gist_params(__isl_take isl_aff
*aff
,
2182 __isl_take isl_set
*context
)
2184 isl_set
*dom_context
= isl_set_universe(isl_aff_get_domain_space(aff
));
2185 dom_context
= isl_set_intersect_params(dom_context
, context
);
2186 return isl_aff_gist(aff
, dom_context
);
2189 /* Return a basic set containing those elements in the space
2190 * of aff where it is positive. "rational" should not be set.
2192 * If "aff" is NaN, then it is not positive.
2194 static __isl_give isl_basic_set
*aff_pos_basic_set(__isl_take isl_aff
*aff
,
2197 isl_constraint
*ineq
;
2198 isl_basic_set
*bset
;
2203 if (isl_aff_is_nan(aff
)) {
2204 isl_space
*space
= isl_aff_get_domain_space(aff
);
2206 return isl_basic_set_empty(space
);
2209 isl_die(isl_aff_get_ctx(aff
), isl_error_unsupported
,
2210 "rational sets not supported", goto error
);
2212 ineq
= isl_inequality_from_aff(aff
);
2213 c
= isl_constraint_get_constant_val(ineq
);
2214 c
= isl_val_sub_ui(c
, 1);
2215 ineq
= isl_constraint_set_constant_val(ineq
, c
);
2217 bset
= isl_basic_set_from_constraint(ineq
);
2218 bset
= isl_basic_set_simplify(bset
);
2225 /* Return a basic set containing those elements in the space
2226 * of aff where it is non-negative.
2227 * If "rational" is set, then return a rational basic set.
2229 * If "aff" is NaN, then it is not non-negative (it's not negative either).
2231 static __isl_give isl_basic_set
*aff_nonneg_basic_set(
2232 __isl_take isl_aff
*aff
, int rational
)
2234 isl_constraint
*ineq
;
2235 isl_basic_set
*bset
;
2239 if (isl_aff_is_nan(aff
)) {
2240 isl_space
*space
= isl_aff_get_domain_space(aff
);
2242 return isl_basic_set_empty(space
);
2245 ineq
= isl_inequality_from_aff(aff
);
2247 bset
= isl_basic_set_from_constraint(ineq
);
2249 bset
= isl_basic_set_set_rational(bset
);
2250 bset
= isl_basic_set_simplify(bset
);
2254 /* Return a basic set containing those elements in the space
2255 * of aff where it is non-negative.
2257 __isl_give isl_basic_set
*isl_aff_nonneg_basic_set(__isl_take isl_aff
*aff
)
2259 return aff_nonneg_basic_set(aff
, 0);
2262 /* Return a basic set containing those elements in the domain space
2263 * of aff where it is negative.
2265 __isl_give isl_basic_set
*isl_aff_neg_basic_set(__isl_take isl_aff
*aff
)
2267 aff
= isl_aff_neg(aff
);
2268 aff
= isl_aff_add_constant_num_si(aff
, -1);
2269 return isl_aff_nonneg_basic_set(aff
);
2272 /* Return a basic set containing those elements in the space
2273 * of aff where it is zero.
2274 * If "rational" is set, then return a rational basic set.
2276 * If "aff" is NaN, then it is not zero.
2278 static __isl_give isl_basic_set
*aff_zero_basic_set(__isl_take isl_aff
*aff
,
2281 isl_constraint
*ineq
;
2282 isl_basic_set
*bset
;
2286 if (isl_aff_is_nan(aff
)) {
2287 isl_space
*space
= isl_aff_get_domain_space(aff
);
2289 return isl_basic_set_empty(space
);
2292 ineq
= isl_equality_from_aff(aff
);
2294 bset
= isl_basic_set_from_constraint(ineq
);
2296 bset
= isl_basic_set_set_rational(bset
);
2297 bset
= isl_basic_set_simplify(bset
);
2301 /* Return a basic set containing those elements in the space
2302 * of aff where it is zero.
2304 __isl_give isl_basic_set
*isl_aff_zero_basic_set(__isl_take isl_aff
*aff
)
2306 return aff_zero_basic_set(aff
, 0);
2309 /* Return a basic set containing those elements in the shared space
2310 * of aff1 and aff2 where aff1 is greater than or equal to aff2.
2312 __isl_give isl_basic_set
*isl_aff_ge_basic_set(__isl_take isl_aff
*aff1
,
2313 __isl_take isl_aff
*aff2
)
2315 aff1
= isl_aff_sub(aff1
, aff2
);
2317 return isl_aff_nonneg_basic_set(aff1
);
2320 /* Return a set containing those elements in the shared space
2321 * of aff1 and aff2 where aff1 is greater than or equal to aff2.
2323 __isl_give isl_set
*isl_aff_ge_set(__isl_take isl_aff
*aff1
,
2324 __isl_take isl_aff
*aff2
)
2326 return isl_set_from_basic_set(isl_aff_ge_basic_set(aff1
, aff2
));
2329 /* Return a basic set containing those elements in the shared space
2330 * of aff1 and aff2 where aff1 is smaller than or equal to aff2.
2332 __isl_give isl_basic_set
*isl_aff_le_basic_set(__isl_take isl_aff
*aff1
,
2333 __isl_take isl_aff
*aff2
)
2335 return isl_aff_ge_basic_set(aff2
, aff1
);
2338 /* Return a set containing those elements in the shared space
2339 * of aff1 and aff2 where aff1 is smaller than or equal to aff2.
2341 __isl_give isl_set
*isl_aff_le_set(__isl_take isl_aff
*aff1
,
2342 __isl_take isl_aff
*aff2
)
2344 return isl_aff_ge_set(aff2
, aff1
);
2347 /* Return a basic set containing those elements in the shared space
2348 * of aff1 and aff2 where aff1 and aff2 are equal.
2350 __isl_give isl_basic_set
*isl_aff_eq_basic_set(__isl_take isl_aff
*aff1
,
2351 __isl_take isl_aff
*aff2
)
2353 aff1
= isl_aff_sub(aff1
, aff2
);
2355 return isl_aff_zero_basic_set(aff1
);
2358 /* Return a set containing those elements in the shared space
2359 * of aff1 and aff2 where aff1 and aff2 are equal.
2361 __isl_give isl_set
*isl_aff_eq_set(__isl_take isl_aff
*aff1
,
2362 __isl_take isl_aff
*aff2
)
2364 return isl_set_from_basic_set(isl_aff_eq_basic_set(aff1
, aff2
));
2367 __isl_give isl_aff
*isl_aff_add_on_domain(__isl_keep isl_set
*dom
,
2368 __isl_take isl_aff
*aff1
, __isl_take isl_aff
*aff2
)
2370 aff1
= isl_aff_add(aff1
, aff2
);
2371 aff1
= isl_aff_gist(aff1
, isl_set_copy(dom
));
2375 int isl_aff_is_empty(__isl_keep isl_aff
*aff
)
2383 /* Check whether the given affine expression has non-zero coefficient
2384 * for any dimension in the given range or if any of these dimensions
2385 * appear with non-zero coefficients in any of the integer divisions
2386 * involved in the affine expression.
2388 isl_bool
isl_aff_involves_dims(__isl_keep isl_aff
*aff
,
2389 enum isl_dim_type type
, unsigned first
, unsigned n
)
2394 isl_bool involves
= isl_bool_false
;
2397 return isl_bool_error
;
2399 return isl_bool_false
;
2401 ctx
= isl_aff_get_ctx(aff
);
2402 if (first
+ n
> isl_aff_dim(aff
, type
))
2403 isl_die(ctx
, isl_error_invalid
,
2404 "range out of bounds", return isl_bool_error
);
2406 active
= isl_local_space_get_active(aff
->ls
, aff
->v
->el
+ 2);
2410 first
+= isl_local_space_offset(aff
->ls
, type
) - 1;
2411 for (i
= 0; i
< n
; ++i
)
2412 if (active
[first
+ i
]) {
2413 involves
= isl_bool_true
;
2422 return isl_bool_error
;
2425 __isl_give isl_aff
*isl_aff_drop_dims(__isl_take isl_aff
*aff
,
2426 enum isl_dim_type type
, unsigned first
, unsigned n
)
2432 if (type
== isl_dim_out
)
2433 isl_die(aff
->v
->ctx
, isl_error_invalid
,
2434 "cannot drop output/set dimension",
2435 return isl_aff_free(aff
));
2436 if (type
== isl_dim_in
)
2438 if (n
== 0 && !isl_local_space_is_named_or_nested(aff
->ls
, type
))
2441 ctx
= isl_aff_get_ctx(aff
);
2442 if (first
+ n
> isl_local_space_dim(aff
->ls
, type
))
2443 isl_die(ctx
, isl_error_invalid
, "range out of bounds",
2444 return isl_aff_free(aff
));
2446 aff
= isl_aff_cow(aff
);
2450 aff
->ls
= isl_local_space_drop_dims(aff
->ls
, type
, first
, n
);
2452 return isl_aff_free(aff
);
2454 first
+= 1 + isl_local_space_offset(aff
->ls
, type
);
2455 aff
->v
= isl_vec_drop_els(aff
->v
, first
, n
);
2457 return isl_aff_free(aff
);
2462 /* Project the domain of the affine expression onto its parameter space.
2463 * The affine expression may not involve any of the domain dimensions.
2465 __isl_give isl_aff
*isl_aff_project_domain_on_params(__isl_take isl_aff
*aff
)
2471 n
= isl_aff_dim(aff
, isl_dim_in
);
2472 involves
= isl_aff_involves_dims(aff
, isl_dim_in
, 0, n
);
2474 return isl_aff_free(aff
);
2476 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
2477 "affine expression involves some of the domain dimensions",
2478 return isl_aff_free(aff
));
2479 aff
= isl_aff_drop_dims(aff
, isl_dim_in
, 0, n
);
2480 space
= isl_aff_get_domain_space(aff
);
2481 space
= isl_space_params(space
);
2482 aff
= isl_aff_reset_domain_space(aff
, space
);
2486 __isl_give isl_aff
*isl_aff_insert_dims(__isl_take isl_aff
*aff
,
2487 enum isl_dim_type type
, unsigned first
, unsigned n
)
2493 if (type
== isl_dim_out
)
2494 isl_die(aff
->v
->ctx
, isl_error_invalid
,
2495 "cannot insert output/set dimensions",
2496 return isl_aff_free(aff
));
2497 if (type
== isl_dim_in
)
2499 if (n
== 0 && !isl_local_space_is_named_or_nested(aff
->ls
, type
))
2502 ctx
= isl_aff_get_ctx(aff
);
2503 if (first
> isl_local_space_dim(aff
->ls
, type
))
2504 isl_die(ctx
, isl_error_invalid
, "position out of bounds",
2505 return isl_aff_free(aff
));
2507 aff
= isl_aff_cow(aff
);
2511 aff
->ls
= isl_local_space_insert_dims(aff
->ls
, type
, first
, n
);
2513 return isl_aff_free(aff
);
2515 first
+= 1 + isl_local_space_offset(aff
->ls
, type
);
2516 aff
->v
= isl_vec_insert_zero_els(aff
->v
, first
, n
);
2518 return isl_aff_free(aff
);
2523 __isl_give isl_aff
*isl_aff_add_dims(__isl_take isl_aff
*aff
,
2524 enum isl_dim_type type
, unsigned n
)
2528 pos
= isl_aff_dim(aff
, type
);
2530 return isl_aff_insert_dims(aff
, type
, pos
, n
);
2533 __isl_give isl_pw_aff
*isl_pw_aff_add_dims(__isl_take isl_pw_aff
*pwaff
,
2534 enum isl_dim_type type
, unsigned n
)
2538 pos
= isl_pw_aff_dim(pwaff
, type
);
2540 return isl_pw_aff_insert_dims(pwaff
, type
, pos
, n
);
2543 /* Move the "n" dimensions of "src_type" starting at "src_pos" of "aff"
2544 * to dimensions of "dst_type" at "dst_pos".
2546 * We only support moving input dimensions to parameters and vice versa.
2548 __isl_give isl_aff
*isl_aff_move_dims(__isl_take isl_aff
*aff
,
2549 enum isl_dim_type dst_type
, unsigned dst_pos
,
2550 enum isl_dim_type src_type
, unsigned src_pos
, unsigned n
)
2558 !isl_local_space_is_named_or_nested(aff
->ls
, src_type
) &&
2559 !isl_local_space_is_named_or_nested(aff
->ls
, dst_type
))
2562 if (dst_type
== isl_dim_out
|| src_type
== isl_dim_out
)
2563 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
2564 "cannot move output/set dimension",
2565 return isl_aff_free(aff
));
2566 if (dst_type
== isl_dim_div
|| src_type
== isl_dim_div
)
2567 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
2568 "cannot move divs", return isl_aff_free(aff
));
2569 if (dst_type
== isl_dim_in
)
2570 dst_type
= isl_dim_set
;
2571 if (src_type
== isl_dim_in
)
2572 src_type
= isl_dim_set
;
2574 if (src_pos
+ n
> isl_local_space_dim(aff
->ls
, src_type
))
2575 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
2576 "range out of bounds", return isl_aff_free(aff
));
2577 if (dst_type
== src_type
)
2578 isl_die(isl_aff_get_ctx(aff
), isl_error_unsupported
,
2579 "moving dims within the same type not supported",
2580 return isl_aff_free(aff
));
2582 aff
= isl_aff_cow(aff
);
2586 g_src_pos
= 1 + isl_local_space_offset(aff
->ls
, src_type
) + src_pos
;
2587 g_dst_pos
= 1 + isl_local_space_offset(aff
->ls
, dst_type
) + dst_pos
;
2588 if (dst_type
> src_type
)
2591 aff
->v
= isl_vec_move_els(aff
->v
, g_dst_pos
, g_src_pos
, n
);
2592 aff
->ls
= isl_local_space_move_dims(aff
->ls
, dst_type
, dst_pos
,
2593 src_type
, src_pos
, n
);
2594 if (!aff
->v
|| !aff
->ls
)
2595 return isl_aff_free(aff
);
2597 aff
= sort_divs(aff
);
2602 __isl_give isl_pw_aff
*isl_pw_aff_from_aff(__isl_take isl_aff
*aff
)
2604 isl_set
*dom
= isl_set_universe(isl_aff_get_domain_space(aff
));
2605 return isl_pw_aff_alloc(dom
, aff
);
2609 #define PW isl_pw_aff
2613 #define EL_IS_ZERO is_empty
2617 #define IS_ZERO is_empty
2620 #undef DEFAULT_IS_ZERO
2621 #define DEFAULT_IS_ZERO 0
2628 #include <isl_pw_templ.c>
2629 #include <isl_pw_hash.c>
2630 #include <isl_pw_union_opt.c>
2633 #define UNION isl_union_pw_aff
2635 #define PART isl_pw_aff
2637 #define PARTS pw_aff
2639 #include <isl_union_single.c>
2640 #include <isl_union_neg.c>
2642 static __isl_give isl_set
*align_params_pw_pw_set_and(
2643 __isl_take isl_pw_aff
*pwaff1
, __isl_take isl_pw_aff
*pwaff2
,
2644 __isl_give isl_set
*(*fn
)(__isl_take isl_pw_aff
*pwaff1
,
2645 __isl_take isl_pw_aff
*pwaff2
))
2647 if (!pwaff1
|| !pwaff2
)
2649 if (isl_space_match(pwaff1
->dim
, isl_dim_param
,
2650 pwaff2
->dim
, isl_dim_param
))
2651 return fn(pwaff1
, pwaff2
);
2652 if (!isl_space_has_named_params(pwaff1
->dim
) ||
2653 !isl_space_has_named_params(pwaff2
->dim
))
2654 isl_die(isl_pw_aff_get_ctx(pwaff1
), isl_error_invalid
,
2655 "unaligned unnamed parameters", goto error
);
2656 pwaff1
= isl_pw_aff_align_params(pwaff1
, isl_pw_aff_get_space(pwaff2
));
2657 pwaff2
= isl_pw_aff_align_params(pwaff2
, isl_pw_aff_get_space(pwaff1
));
2658 return fn(pwaff1
, pwaff2
);
2660 isl_pw_aff_free(pwaff1
);
2661 isl_pw_aff_free(pwaff2
);
2665 /* Align the parameters of the to isl_pw_aff arguments and
2666 * then apply a function "fn" on them that returns an isl_map.
2668 static __isl_give isl_map
*align_params_pw_pw_map_and(
2669 __isl_take isl_pw_aff
*pa1
, __isl_take isl_pw_aff
*pa2
,
2670 __isl_give isl_map
*(*fn
)(__isl_take isl_pw_aff
*pa1
,
2671 __isl_take isl_pw_aff
*pa2
))
2675 if (isl_space_match(pa1
->dim
, isl_dim_param
, pa2
->dim
, isl_dim_param
))
2676 return fn(pa1
, pa2
);
2677 if (!isl_space_has_named_params(pa1
->dim
) ||
2678 !isl_space_has_named_params(pa2
->dim
))
2679 isl_die(isl_pw_aff_get_ctx(pa1
), isl_error_invalid
,
2680 "unaligned unnamed parameters", goto error
);
2681 pa1
= isl_pw_aff_align_params(pa1
, isl_pw_aff_get_space(pa2
));
2682 pa2
= isl_pw_aff_align_params(pa2
, isl_pw_aff_get_space(pa1
));
2683 return fn(pa1
, pa2
);
2685 isl_pw_aff_free(pa1
);
2686 isl_pw_aff_free(pa2
);
2690 /* Compute a piecewise quasi-affine expression with a domain that
2691 * is the union of those of pwaff1 and pwaff2 and such that on each
2692 * cell, the quasi-affine expression is the maximum of those of pwaff1
2693 * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
2694 * cell, then the associated expression is the defined one.
2696 static __isl_give isl_pw_aff
*pw_aff_union_max(__isl_take isl_pw_aff
*pwaff1
,
2697 __isl_take isl_pw_aff
*pwaff2
)
2699 return isl_pw_aff_union_opt_cmp(pwaff1
, pwaff2
, &isl_aff_ge_set
);
2702 __isl_give isl_pw_aff
*isl_pw_aff_union_max(__isl_take isl_pw_aff
*pwaff1
,
2703 __isl_take isl_pw_aff
*pwaff2
)
2705 return isl_pw_aff_align_params_pw_pw_and(pwaff1
, pwaff2
,
2709 /* Compute a piecewise quasi-affine expression with a domain that
2710 * is the union of those of pwaff1 and pwaff2 and such that on each
2711 * cell, the quasi-affine expression is the minimum of those of pwaff1
2712 * and pwaff2. If only one of pwaff1 or pwaff2 is defined on a given
2713 * cell, then the associated expression is the defined one.
2715 static __isl_give isl_pw_aff
*pw_aff_union_min(__isl_take isl_pw_aff
*pwaff1
,
2716 __isl_take isl_pw_aff
*pwaff2
)
2718 return isl_pw_aff_union_opt_cmp(pwaff1
, pwaff2
, &isl_aff_le_set
);
2721 __isl_give isl_pw_aff
*isl_pw_aff_union_min(__isl_take isl_pw_aff
*pwaff1
,
2722 __isl_take isl_pw_aff
*pwaff2
)
2724 return isl_pw_aff_align_params_pw_pw_and(pwaff1
, pwaff2
,
2728 __isl_give isl_pw_aff
*isl_pw_aff_union_opt(__isl_take isl_pw_aff
*pwaff1
,
2729 __isl_take isl_pw_aff
*pwaff2
, int max
)
2732 return isl_pw_aff_union_max(pwaff1
, pwaff2
);
2734 return isl_pw_aff_union_min(pwaff1
, pwaff2
);
2737 /* Construct a map with as domain the domain of pwaff and
2738 * one-dimensional range corresponding to the affine expressions.
2740 static __isl_give isl_map
*map_from_pw_aff(__isl_take isl_pw_aff
*pwaff
)
2749 dim
= isl_pw_aff_get_space(pwaff
);
2750 map
= isl_map_empty(dim
);
2752 for (i
= 0; i
< pwaff
->n
; ++i
) {
2753 isl_basic_map
*bmap
;
2756 bmap
= isl_basic_map_from_aff(isl_aff_copy(pwaff
->p
[i
].aff
));
2757 map_i
= isl_map_from_basic_map(bmap
);
2758 map_i
= isl_map_intersect_domain(map_i
,
2759 isl_set_copy(pwaff
->p
[i
].set
));
2760 map
= isl_map_union_disjoint(map
, map_i
);
2763 isl_pw_aff_free(pwaff
);
2768 /* Construct a map with as domain the domain of pwaff and
2769 * one-dimensional range corresponding to the affine expressions.
2771 __isl_give isl_map
*isl_map_from_pw_aff(__isl_take isl_pw_aff
*pwaff
)
2775 if (isl_space_is_set(pwaff
->dim
))
2776 isl_die(isl_pw_aff_get_ctx(pwaff
), isl_error_invalid
,
2777 "space of input is not a map", goto error
);
2778 return map_from_pw_aff(pwaff
);
2780 isl_pw_aff_free(pwaff
);
2784 /* Construct a one-dimensional set with as parameter domain
2785 * the domain of pwaff and the single set dimension
2786 * corresponding to the affine expressions.
2788 __isl_give isl_set
*isl_set_from_pw_aff(__isl_take isl_pw_aff
*pwaff
)
2792 if (!isl_space_is_set(pwaff
->dim
))
2793 isl_die(isl_pw_aff_get_ctx(pwaff
), isl_error_invalid
,
2794 "space of input is not a set", goto error
);
2795 return map_from_pw_aff(pwaff
);
2797 isl_pw_aff_free(pwaff
);
2801 /* Return a set containing those elements in the domain
2802 * of "pwaff" where it satisfies "fn" (if complement is 0) or
2803 * does not satisfy "fn" (if complement is 1).
2805 * The pieces with a NaN never belong to the result since
2806 * NaN does not satisfy any property.
2808 static __isl_give isl_set
*pw_aff_locus(__isl_take isl_pw_aff
*pwaff
,
2809 __isl_give isl_basic_set
*(*fn
)(__isl_take isl_aff
*aff
, int rational
),
2818 set
= isl_set_empty(isl_pw_aff_get_domain_space(pwaff
));
2820 for (i
= 0; i
< pwaff
->n
; ++i
) {
2821 isl_basic_set
*bset
;
2822 isl_set
*set_i
, *locus
;
2825 if (isl_aff_is_nan(pwaff
->p
[i
].aff
))
2828 rational
= isl_set_has_rational(pwaff
->p
[i
].set
);
2829 bset
= fn(isl_aff_copy(pwaff
->p
[i
].aff
), rational
);
2830 locus
= isl_set_from_basic_set(bset
);
2831 set_i
= isl_set_copy(pwaff
->p
[i
].set
);
2833 set_i
= isl_set_subtract(set_i
, locus
);
2835 set_i
= isl_set_intersect(set_i
, locus
);
2836 set
= isl_set_union_disjoint(set
, set_i
);
2839 isl_pw_aff_free(pwaff
);
2844 /* Return a set containing those elements in the domain
2845 * of "pa" where it is positive.
2847 __isl_give isl_set
*isl_pw_aff_pos_set(__isl_take isl_pw_aff
*pa
)
2849 return pw_aff_locus(pa
, &aff_pos_basic_set
, 0);
2852 /* Return a set containing those elements in the domain
2853 * of pwaff where it is non-negative.
2855 __isl_give isl_set
*isl_pw_aff_nonneg_set(__isl_take isl_pw_aff
*pwaff
)
2857 return pw_aff_locus(pwaff
, &aff_nonneg_basic_set
, 0);
2860 /* Return a set containing those elements in the domain
2861 * of pwaff where it is zero.
2863 __isl_give isl_set
*isl_pw_aff_zero_set(__isl_take isl_pw_aff
*pwaff
)
2865 return pw_aff_locus(pwaff
, &aff_zero_basic_set
, 0);
2868 /* Return a set containing those elements in the domain
2869 * of pwaff where it is not zero.
2871 __isl_give isl_set
*isl_pw_aff_non_zero_set(__isl_take isl_pw_aff
*pwaff
)
2873 return pw_aff_locus(pwaff
, &aff_zero_basic_set
, 1);
2876 /* Return a set containing those elements in the shared domain
2877 * of pwaff1 and pwaff2 where pwaff1 is greater than (or equal) to pwaff2.
2879 * We compute the difference on the shared domain and then construct
2880 * the set of values where this difference is non-negative.
2881 * If strict is set, we first subtract 1 from the difference.
2882 * If equal is set, we only return the elements where pwaff1 and pwaff2
2885 static __isl_give isl_set
*pw_aff_gte_set(__isl_take isl_pw_aff
*pwaff1
,
2886 __isl_take isl_pw_aff
*pwaff2
, int strict
, int equal
)
2888 isl_set
*set1
, *set2
;
2890 set1
= isl_pw_aff_domain(isl_pw_aff_copy(pwaff1
));
2891 set2
= isl_pw_aff_domain(isl_pw_aff_copy(pwaff2
));
2892 set1
= isl_set_intersect(set1
, set2
);
2893 pwaff1
= isl_pw_aff_intersect_domain(pwaff1
, isl_set_copy(set1
));
2894 pwaff2
= isl_pw_aff_intersect_domain(pwaff2
, isl_set_copy(set1
));
2895 pwaff1
= isl_pw_aff_add(pwaff1
, isl_pw_aff_neg(pwaff2
));
2898 isl_space
*dim
= isl_set_get_space(set1
);
2900 aff
= isl_aff_zero_on_domain(isl_local_space_from_space(dim
));
2901 aff
= isl_aff_add_constant_si(aff
, -1);
2902 pwaff1
= isl_pw_aff_add(pwaff1
, isl_pw_aff_alloc(set1
, aff
));
2907 return isl_pw_aff_zero_set(pwaff1
);
2908 return isl_pw_aff_nonneg_set(pwaff1
);
2911 /* Return a set containing those elements in the shared domain
2912 * of pwaff1 and pwaff2 where pwaff1 is equal to pwaff2.
2914 static __isl_give isl_set
*pw_aff_eq_set(__isl_take isl_pw_aff
*pwaff1
,
2915 __isl_take isl_pw_aff
*pwaff2
)
2917 return pw_aff_gte_set(pwaff1
, pwaff2
, 0, 1);
2920 __isl_give isl_set
*isl_pw_aff_eq_set(__isl_take isl_pw_aff
*pwaff1
,
2921 __isl_take isl_pw_aff
*pwaff2
)
2923 return align_params_pw_pw_set_and(pwaff1
, pwaff2
, &pw_aff_eq_set
);
2926 /* Return a set containing those elements in the shared domain
2927 * of pwaff1 and pwaff2 where pwaff1 is greater than or equal to pwaff2.
2929 static __isl_give isl_set
*pw_aff_ge_set(__isl_take isl_pw_aff
*pwaff1
,
2930 __isl_take isl_pw_aff
*pwaff2
)
2932 return pw_aff_gte_set(pwaff1
, pwaff2
, 0, 0);
2935 __isl_give isl_set
*isl_pw_aff_ge_set(__isl_take isl_pw_aff
*pwaff1
,
2936 __isl_take isl_pw_aff
*pwaff2
)
2938 return align_params_pw_pw_set_and(pwaff1
, pwaff2
, &pw_aff_ge_set
);
2941 /* Return a set containing those elements in the shared domain
2942 * of pwaff1 and pwaff2 where pwaff1 is strictly greater than pwaff2.
2944 static __isl_give isl_set
*pw_aff_gt_set(__isl_take isl_pw_aff
*pwaff1
,
2945 __isl_take isl_pw_aff
*pwaff2
)
2947 return pw_aff_gte_set(pwaff1
, pwaff2
, 1, 0);
2950 __isl_give isl_set
*isl_pw_aff_gt_set(__isl_take isl_pw_aff
*pwaff1
,
2951 __isl_take isl_pw_aff
*pwaff2
)
2953 return align_params_pw_pw_set_and(pwaff1
, pwaff2
, &pw_aff_gt_set
);
2956 __isl_give isl_set
*isl_pw_aff_le_set(__isl_take isl_pw_aff
*pwaff1
,
2957 __isl_take isl_pw_aff
*pwaff2
)
2959 return isl_pw_aff_ge_set(pwaff2
, pwaff1
);
2962 __isl_give isl_set
*isl_pw_aff_lt_set(__isl_take isl_pw_aff
*pwaff1
,
2963 __isl_take isl_pw_aff
*pwaff2
)
2965 return isl_pw_aff_gt_set(pwaff2
, pwaff1
);
2968 /* Return a map containing pairs of elements in the domains of "pa1" and "pa2"
2969 * where the function values are ordered in the same way as "order",
2970 * which returns a set in the shared domain of its two arguments.
2971 * The parameters of "pa1" and "pa2" are assumed to have been aligned.
2973 * Let "pa1" and "pa2" be defined on domains A and B respectively.
2974 * We first pull back the two functions such that they are defined on
2975 * the domain [A -> B]. Then we apply "order", resulting in a set
2976 * in the space [A -> B]. Finally, we unwrap this set to obtain
2977 * a map in the space A -> B.
2979 static __isl_give isl_map
*isl_pw_aff_order_map_aligned(
2980 __isl_take isl_pw_aff
*pa1
, __isl_take isl_pw_aff
*pa2
,
2981 __isl_give isl_set
*(*order
)(__isl_take isl_pw_aff
*pa1
,
2982 __isl_take isl_pw_aff
*pa2
))
2984 isl_space
*space1
, *space2
;
2988 space1
= isl_space_domain(isl_pw_aff_get_space(pa1
));
2989 space2
= isl_space_domain(isl_pw_aff_get_space(pa2
));
2990 space1
= isl_space_map_from_domain_and_range(space1
, space2
);
2991 ma
= isl_multi_aff_domain_map(isl_space_copy(space1
));
2992 pa1
= isl_pw_aff_pullback_multi_aff(pa1
, ma
);
2993 ma
= isl_multi_aff_range_map(space1
);
2994 pa2
= isl_pw_aff_pullback_multi_aff(pa2
, ma
);
2995 set
= order(pa1
, pa2
);
2997 return isl_set_unwrap(set
);
3000 /* Return a map containing pairs of elements in the domains of "pa1" and "pa2"
3001 * where the function values are equal.
3002 * The parameters of "pa1" and "pa2" are assumed to have been aligned.
3004 static __isl_give isl_map
*isl_pw_aff_eq_map_aligned(__isl_take isl_pw_aff
*pa1
,
3005 __isl_take isl_pw_aff
*pa2
)
3007 return isl_pw_aff_order_map_aligned(pa1
, pa2
, &isl_pw_aff_eq_set
);
3010 /* Return a map containing pairs of elements in the domains of "pa1" and "pa2"
3011 * where the function values are equal.
3013 __isl_give isl_map
*isl_pw_aff_eq_map(__isl_take isl_pw_aff
*pa1
,
3014 __isl_take isl_pw_aff
*pa2
)
3016 return align_params_pw_pw_map_and(pa1
, pa2
, &isl_pw_aff_eq_map_aligned
);
3019 /* Return a map containing pairs of elements in the domains of "pa1" and "pa2"
3020 * where the function value of "pa1" is less than the function value of "pa2".
3021 * The parameters of "pa1" and "pa2" are assumed to have been aligned.
3023 static __isl_give isl_map
*isl_pw_aff_lt_map_aligned(__isl_take isl_pw_aff
*pa1
,
3024 __isl_take isl_pw_aff
*pa2
)
3026 return isl_pw_aff_order_map_aligned(pa1
, pa2
, &isl_pw_aff_lt_set
);
3029 /* Return a map containing pairs of elements in the domains of "pa1" and "pa2"
3030 * where the function value of "pa1" is less than the function value of "pa2".
3032 __isl_give isl_map
*isl_pw_aff_lt_map(__isl_take isl_pw_aff
*pa1
,
3033 __isl_take isl_pw_aff
*pa2
)
3035 return align_params_pw_pw_map_and(pa1
, pa2
, &isl_pw_aff_lt_map_aligned
);
3038 /* Return a map containing pairs of elements in the domains of "pa1" and "pa2"
3039 * where the function value of "pa1" is greater than the function value
3041 * The parameters of "pa1" and "pa2" are assumed to have been aligned.
3043 static __isl_give isl_map
*isl_pw_aff_gt_map_aligned(__isl_take isl_pw_aff
*pa1
,
3044 __isl_take isl_pw_aff
*pa2
)
3046 return isl_pw_aff_order_map_aligned(pa1
, pa2
, &isl_pw_aff_gt_set
);
3049 /* Return a map containing pairs of elements in the domains of "pa1" and "pa2"
3050 * where the function value of "pa1" is greater than the function value
3053 __isl_give isl_map
*isl_pw_aff_gt_map(__isl_take isl_pw_aff
*pa1
,
3054 __isl_take isl_pw_aff
*pa2
)
3056 return align_params_pw_pw_map_and(pa1
, pa2
, &isl_pw_aff_gt_map_aligned
);
3059 /* Return a set containing those elements in the shared domain
3060 * of the elements of list1 and list2 where each element in list1
3061 * has the relation specified by "fn" with each element in list2.
3063 static __isl_give isl_set
*pw_aff_list_set(__isl_take isl_pw_aff_list
*list1
,
3064 __isl_take isl_pw_aff_list
*list2
,
3065 __isl_give isl_set
*(*fn
)(__isl_take isl_pw_aff
*pwaff1
,
3066 __isl_take isl_pw_aff
*pwaff2
))
3072 if (!list1
|| !list2
)
3075 ctx
= isl_pw_aff_list_get_ctx(list1
);
3076 if (list1
->n
< 1 || list2
->n
< 1)
3077 isl_die(ctx
, isl_error_invalid
,
3078 "list should contain at least one element", goto error
);
3080 set
= isl_set_universe(isl_pw_aff_get_domain_space(list1
->p
[0]));
3081 for (i
= 0; i
< list1
->n
; ++i
)
3082 for (j
= 0; j
< list2
->n
; ++j
) {
3085 set_ij
= fn(isl_pw_aff_copy(list1
->p
[i
]),
3086 isl_pw_aff_copy(list2
->p
[j
]));
3087 set
= isl_set_intersect(set
, set_ij
);
3090 isl_pw_aff_list_free(list1
);
3091 isl_pw_aff_list_free(list2
);
3094 isl_pw_aff_list_free(list1
);
3095 isl_pw_aff_list_free(list2
);
3099 /* Return a set containing those elements in the shared domain
3100 * of the elements of list1 and list2 where each element in list1
3101 * is equal to each element in list2.
3103 __isl_give isl_set
*isl_pw_aff_list_eq_set(__isl_take isl_pw_aff_list
*list1
,
3104 __isl_take isl_pw_aff_list
*list2
)
3106 return pw_aff_list_set(list1
, list2
, &isl_pw_aff_eq_set
);
3109 __isl_give isl_set
*isl_pw_aff_list_ne_set(__isl_take isl_pw_aff_list
*list1
,
3110 __isl_take isl_pw_aff_list
*list2
)
3112 return pw_aff_list_set(list1
, list2
, &isl_pw_aff_ne_set
);
3115 /* Return a set containing those elements in the shared domain
3116 * of the elements of list1 and list2 where each element in list1
3117 * is less than or equal to each element in list2.
3119 __isl_give isl_set
*isl_pw_aff_list_le_set(__isl_take isl_pw_aff_list
*list1
,
3120 __isl_take isl_pw_aff_list
*list2
)
3122 return pw_aff_list_set(list1
, list2
, &isl_pw_aff_le_set
);
3125 __isl_give isl_set
*isl_pw_aff_list_lt_set(__isl_take isl_pw_aff_list
*list1
,
3126 __isl_take isl_pw_aff_list
*list2
)
3128 return pw_aff_list_set(list1
, list2
, &isl_pw_aff_lt_set
);
3131 __isl_give isl_set
*isl_pw_aff_list_ge_set(__isl_take isl_pw_aff_list
*list1
,
3132 __isl_take isl_pw_aff_list
*list2
)
3134 return pw_aff_list_set(list1
, list2
, &isl_pw_aff_ge_set
);
3137 __isl_give isl_set
*isl_pw_aff_list_gt_set(__isl_take isl_pw_aff_list
*list1
,
3138 __isl_take isl_pw_aff_list
*list2
)
3140 return pw_aff_list_set(list1
, list2
, &isl_pw_aff_gt_set
);
3144 /* Return a set containing those elements in the shared domain
3145 * of pwaff1 and pwaff2 where pwaff1 is not equal to pwaff2.
3147 static __isl_give isl_set
*pw_aff_ne_set(__isl_take isl_pw_aff
*pwaff1
,
3148 __isl_take isl_pw_aff
*pwaff2
)
3150 isl_set
*set_lt
, *set_gt
;
3152 set_lt
= isl_pw_aff_lt_set(isl_pw_aff_copy(pwaff1
),
3153 isl_pw_aff_copy(pwaff2
));
3154 set_gt
= isl_pw_aff_gt_set(pwaff1
, pwaff2
);
3155 return isl_set_union_disjoint(set_lt
, set_gt
);
3158 __isl_give isl_set
*isl_pw_aff_ne_set(__isl_take isl_pw_aff
*pwaff1
,
3159 __isl_take isl_pw_aff
*pwaff2
)
3161 return align_params_pw_pw_set_and(pwaff1
, pwaff2
, &pw_aff_ne_set
);
3164 __isl_give isl_pw_aff
*isl_pw_aff_scale_down(__isl_take isl_pw_aff
*pwaff
,
3169 if (isl_int_is_one(v
))
3171 if (!isl_int_is_pos(v
))
3172 isl_die(isl_pw_aff_get_ctx(pwaff
), isl_error_invalid
,
3173 "factor needs to be positive",
3174 return isl_pw_aff_free(pwaff
));
3175 pwaff
= isl_pw_aff_cow(pwaff
);
3181 for (i
= 0; i
< pwaff
->n
; ++i
) {
3182 pwaff
->p
[i
].aff
= isl_aff_scale_down(pwaff
->p
[i
].aff
, v
);
3183 if (!pwaff
->p
[i
].aff
)
3184 return isl_pw_aff_free(pwaff
);
3190 __isl_give isl_pw_aff
*isl_pw_aff_floor(__isl_take isl_pw_aff
*pwaff
)
3194 pwaff
= isl_pw_aff_cow(pwaff
);
3200 for (i
= 0; i
< pwaff
->n
; ++i
) {
3201 pwaff
->p
[i
].aff
= isl_aff_floor(pwaff
->p
[i
].aff
);
3202 if (!pwaff
->p
[i
].aff
)
3203 return isl_pw_aff_free(pwaff
);
3209 __isl_give isl_pw_aff
*isl_pw_aff_ceil(__isl_take isl_pw_aff
*pwaff
)
3213 pwaff
= isl_pw_aff_cow(pwaff
);
3219 for (i
= 0; i
< pwaff
->n
; ++i
) {
3220 pwaff
->p
[i
].aff
= isl_aff_ceil(pwaff
->p
[i
].aff
);
3221 if (!pwaff
->p
[i
].aff
)
3222 return isl_pw_aff_free(pwaff
);
3228 /* Assuming that "cond1" and "cond2" are disjoint,
3229 * return an affine expression that is equal to pwaff1 on cond1
3230 * and to pwaff2 on cond2.
3232 static __isl_give isl_pw_aff
*isl_pw_aff_select(
3233 __isl_take isl_set
*cond1
, __isl_take isl_pw_aff
*pwaff1
,
3234 __isl_take isl_set
*cond2
, __isl_take isl_pw_aff
*pwaff2
)
3236 pwaff1
= isl_pw_aff_intersect_domain(pwaff1
, cond1
);
3237 pwaff2
= isl_pw_aff_intersect_domain(pwaff2
, cond2
);
3239 return isl_pw_aff_add_disjoint(pwaff1
, pwaff2
);
3242 /* Return an affine expression that is equal to pwaff_true for elements
3243 * where "cond" is non-zero and to pwaff_false for elements where "cond"
3245 * That is, return cond ? pwaff_true : pwaff_false;
3247 * If "cond" involves and NaN, then we conservatively return a NaN
3248 * on its entire domain. In principle, we could consider the pieces
3249 * where it is NaN separately from those where it is not.
3251 * If "pwaff_true" and "pwaff_false" are obviously equal to each other,
3252 * then only use the domain of "cond" to restrict the domain.
3254 __isl_give isl_pw_aff
*isl_pw_aff_cond(__isl_take isl_pw_aff
*cond
,
3255 __isl_take isl_pw_aff
*pwaff_true
, __isl_take isl_pw_aff
*pwaff_false
)
3257 isl_set
*cond_true
, *cond_false
;
3262 if (isl_pw_aff_involves_nan(cond
)) {
3263 isl_space
*space
= isl_pw_aff_get_domain_space(cond
);
3264 isl_local_space
*ls
= isl_local_space_from_space(space
);
3265 isl_pw_aff_free(cond
);
3266 isl_pw_aff_free(pwaff_true
);
3267 isl_pw_aff_free(pwaff_false
);
3268 return isl_pw_aff_nan_on_domain(ls
);
3271 pwaff_true
= isl_pw_aff_align_params(pwaff_true
,
3272 isl_pw_aff_get_space(pwaff_false
));
3273 pwaff_false
= isl_pw_aff_align_params(pwaff_false
,
3274 isl_pw_aff_get_space(pwaff_true
));
3275 equal
= isl_pw_aff_plain_is_equal(pwaff_true
, pwaff_false
);
3281 dom
= isl_set_coalesce(isl_pw_aff_domain(cond
));
3282 isl_pw_aff_free(pwaff_false
);
3283 return isl_pw_aff_intersect_domain(pwaff_true
, dom
);
3286 cond_true
= isl_pw_aff_non_zero_set(isl_pw_aff_copy(cond
));
3287 cond_false
= isl_pw_aff_zero_set(cond
);
3288 return isl_pw_aff_select(cond_true
, pwaff_true
,
3289 cond_false
, pwaff_false
);
3291 isl_pw_aff_free(cond
);
3292 isl_pw_aff_free(pwaff_true
);
3293 isl_pw_aff_free(pwaff_false
);
3297 isl_bool
isl_aff_is_cst(__isl_keep isl_aff
*aff
)
3300 return isl_bool_error
;
3302 return isl_seq_first_non_zero(aff
->v
->el
+ 2, aff
->v
->size
- 2) == -1;
3305 /* Check whether pwaff is a piecewise constant.
3307 isl_bool
isl_pw_aff_is_cst(__isl_keep isl_pw_aff
*pwaff
)
3312 return isl_bool_error
;
3314 for (i
= 0; i
< pwaff
->n
; ++i
) {
3315 isl_bool is_cst
= isl_aff_is_cst(pwaff
->p
[i
].aff
);
3316 if (is_cst
< 0 || !is_cst
)
3320 return isl_bool_true
;
3323 /* Are all elements of "mpa" piecewise constants?
3325 isl_bool
isl_multi_pw_aff_is_cst(__isl_keep isl_multi_pw_aff
*mpa
)
3330 return isl_bool_error
;
3332 for (i
= 0; i
< mpa
->n
; ++i
) {
3333 isl_bool is_cst
= isl_pw_aff_is_cst(mpa
->p
[i
]);
3334 if (is_cst
< 0 || !is_cst
)
3338 return isl_bool_true
;
3341 /* Return the product of "aff1" and "aff2".
3343 * If either of the two is NaN, then the result is NaN.
3345 * Otherwise, at least one of "aff1" or "aff2" needs to be a constant.
3347 __isl_give isl_aff
*isl_aff_mul(__isl_take isl_aff
*aff1
,
3348 __isl_take isl_aff
*aff2
)
3353 if (isl_aff_is_nan(aff1
)) {
3357 if (isl_aff_is_nan(aff2
)) {
3362 if (!isl_aff_is_cst(aff2
) && isl_aff_is_cst(aff1
))
3363 return isl_aff_mul(aff2
, aff1
);
3365 if (!isl_aff_is_cst(aff2
))
3366 isl_die(isl_aff_get_ctx(aff1
), isl_error_invalid
,
3367 "at least one affine expression should be constant",
3370 aff1
= isl_aff_cow(aff1
);
3374 aff1
= isl_aff_scale(aff1
, aff2
->v
->el
[1]);
3375 aff1
= isl_aff_scale_down(aff1
, aff2
->v
->el
[0]);
3385 /* Divide "aff1" by "aff2", assuming "aff2" is a constant.
3387 * If either of the two is NaN, then the result is NaN.
3389 __isl_give isl_aff
*isl_aff_div(__isl_take isl_aff
*aff1
,
3390 __isl_take isl_aff
*aff2
)
3398 if (isl_aff_is_nan(aff1
)) {
3402 if (isl_aff_is_nan(aff2
)) {
3407 is_cst
= isl_aff_is_cst(aff2
);
3411 isl_die(isl_aff_get_ctx(aff2
), isl_error_invalid
,
3412 "second argument should be a constant", goto error
);
3417 neg
= isl_int_is_neg(aff2
->v
->el
[1]);
3419 isl_int_neg(aff2
->v
->el
[0], aff2
->v
->el
[0]);
3420 isl_int_neg(aff2
->v
->el
[1], aff2
->v
->el
[1]);
3423 aff1
= isl_aff_scale(aff1
, aff2
->v
->el
[0]);
3424 aff1
= isl_aff_scale_down(aff1
, aff2
->v
->el
[1]);
3427 isl_int_neg(aff2
->v
->el
[0], aff2
->v
->el
[0]);
3428 isl_int_neg(aff2
->v
->el
[1], aff2
->v
->el
[1]);
3439 static __isl_give isl_pw_aff
*pw_aff_add(__isl_take isl_pw_aff
*pwaff1
,
3440 __isl_take isl_pw_aff
*pwaff2
)
3442 return isl_pw_aff_on_shared_domain(pwaff1
, pwaff2
, &isl_aff_add
);
3445 __isl_give isl_pw_aff
*isl_pw_aff_add(__isl_take isl_pw_aff
*pwaff1
,
3446 __isl_take isl_pw_aff
*pwaff2
)
3448 return isl_pw_aff_align_params_pw_pw_and(pwaff1
, pwaff2
, &pw_aff_add
);
3451 __isl_give isl_pw_aff
*isl_pw_aff_union_add(__isl_take isl_pw_aff
*pwaff1
,
3452 __isl_take isl_pw_aff
*pwaff2
)
3454 return isl_pw_aff_union_add_(pwaff1
, pwaff2
);
3457 static __isl_give isl_pw_aff
*pw_aff_mul(__isl_take isl_pw_aff
*pwaff1
,
3458 __isl_take isl_pw_aff
*pwaff2
)
3460 return isl_pw_aff_on_shared_domain(pwaff1
, pwaff2
, &isl_aff_mul
);
3463 __isl_give isl_pw_aff
*isl_pw_aff_mul(__isl_take isl_pw_aff
*pwaff1
,
3464 __isl_take isl_pw_aff
*pwaff2
)
3466 return isl_pw_aff_align_params_pw_pw_and(pwaff1
, pwaff2
, &pw_aff_mul
);
3469 static __isl_give isl_pw_aff
*pw_aff_div(__isl_take isl_pw_aff
*pa1
,
3470 __isl_take isl_pw_aff
*pa2
)
3472 return isl_pw_aff_on_shared_domain(pa1
, pa2
, &isl_aff_div
);
3475 /* Divide "pa1" by "pa2", assuming "pa2" is a piecewise constant.
3477 __isl_give isl_pw_aff
*isl_pw_aff_div(__isl_take isl_pw_aff
*pa1
,
3478 __isl_take isl_pw_aff
*pa2
)
3482 is_cst
= isl_pw_aff_is_cst(pa2
);
3486 isl_die(isl_pw_aff_get_ctx(pa2
), isl_error_invalid
,
3487 "second argument should be a piecewise constant",
3489 return isl_pw_aff_align_params_pw_pw_and(pa1
, pa2
, &pw_aff_div
);
3491 isl_pw_aff_free(pa1
);
3492 isl_pw_aff_free(pa2
);
3496 /* Compute the quotient of the integer division of "pa1" by "pa2"
3497 * with rounding towards zero.
3498 * "pa2" is assumed to be a piecewise constant.
3500 * In particular, return
3502 * pa1 >= 0 ? floor(pa1/pa2) : ceil(pa1/pa2)
3505 __isl_give isl_pw_aff
*isl_pw_aff_tdiv_q(__isl_take isl_pw_aff
*pa1
,
3506 __isl_take isl_pw_aff
*pa2
)
3512 is_cst
= isl_pw_aff_is_cst(pa2
);
3516 isl_die(isl_pw_aff_get_ctx(pa2
), isl_error_invalid
,
3517 "second argument should be a piecewise constant",
3520 pa1
= isl_pw_aff_div(pa1
, pa2
);
3522 cond
= isl_pw_aff_nonneg_set(isl_pw_aff_copy(pa1
));
3523 f
= isl_pw_aff_floor(isl_pw_aff_copy(pa1
));
3524 c
= isl_pw_aff_ceil(pa1
);
3525 return isl_pw_aff_cond(isl_set_indicator_function(cond
), f
, c
);
3527 isl_pw_aff_free(pa1
);
3528 isl_pw_aff_free(pa2
);
3532 /* Compute the remainder of the integer division of "pa1" by "pa2"
3533 * with rounding towards zero.
3534 * "pa2" is assumed to be a piecewise constant.
3536 * In particular, return
3538 * pa1 - pa2 * (pa1 >= 0 ? floor(pa1/pa2) : ceil(pa1/pa2))
3541 __isl_give isl_pw_aff
*isl_pw_aff_tdiv_r(__isl_take isl_pw_aff
*pa1
,
3542 __isl_take isl_pw_aff
*pa2
)
3547 is_cst
= isl_pw_aff_is_cst(pa2
);
3551 isl_die(isl_pw_aff_get_ctx(pa2
), isl_error_invalid
,
3552 "second argument should be a piecewise constant",
3554 res
= isl_pw_aff_tdiv_q(isl_pw_aff_copy(pa1
), isl_pw_aff_copy(pa2
));
3555 res
= isl_pw_aff_mul(pa2
, res
);
3556 res
= isl_pw_aff_sub(pa1
, res
);
3559 isl_pw_aff_free(pa1
);
3560 isl_pw_aff_free(pa2
);
3564 static __isl_give isl_pw_aff
*pw_aff_min(__isl_take isl_pw_aff
*pwaff1
,
3565 __isl_take isl_pw_aff
*pwaff2
)
3570 dom
= isl_set_intersect(isl_pw_aff_domain(isl_pw_aff_copy(pwaff1
)),
3571 isl_pw_aff_domain(isl_pw_aff_copy(pwaff2
)));
3572 le
= isl_pw_aff_le_set(isl_pw_aff_copy(pwaff1
),
3573 isl_pw_aff_copy(pwaff2
));
3574 dom
= isl_set_subtract(dom
, isl_set_copy(le
));
3575 return isl_pw_aff_select(le
, pwaff1
, dom
, pwaff2
);
3578 __isl_give isl_pw_aff
*isl_pw_aff_min(__isl_take isl_pw_aff
*pwaff1
,
3579 __isl_take isl_pw_aff
*pwaff2
)
3581 return isl_pw_aff_align_params_pw_pw_and(pwaff1
, pwaff2
, &pw_aff_min
);
3584 static __isl_give isl_pw_aff
*pw_aff_max(__isl_take isl_pw_aff
*pwaff1
,
3585 __isl_take isl_pw_aff
*pwaff2
)
3590 dom
= isl_set_intersect(isl_pw_aff_domain(isl_pw_aff_copy(pwaff1
)),
3591 isl_pw_aff_domain(isl_pw_aff_copy(pwaff2
)));
3592 ge
= isl_pw_aff_ge_set(isl_pw_aff_copy(pwaff1
),
3593 isl_pw_aff_copy(pwaff2
));
3594 dom
= isl_set_subtract(dom
, isl_set_copy(ge
));
3595 return isl_pw_aff_select(ge
, pwaff1
, dom
, pwaff2
);
3598 __isl_give isl_pw_aff
*isl_pw_aff_max(__isl_take isl_pw_aff
*pwaff1
,
3599 __isl_take isl_pw_aff
*pwaff2
)
3601 return isl_pw_aff_align_params_pw_pw_and(pwaff1
, pwaff2
, &pw_aff_max
);
3604 static __isl_give isl_pw_aff
*pw_aff_list_reduce(
3605 __isl_take isl_pw_aff_list
*list
,
3606 __isl_give isl_pw_aff
*(*fn
)(__isl_take isl_pw_aff
*pwaff1
,
3607 __isl_take isl_pw_aff
*pwaff2
))
3616 ctx
= isl_pw_aff_list_get_ctx(list
);
3618 isl_die(ctx
, isl_error_invalid
,
3619 "list should contain at least one element", goto error
);
3621 res
= isl_pw_aff_copy(list
->p
[0]);
3622 for (i
= 1; i
< list
->n
; ++i
)
3623 res
= fn(res
, isl_pw_aff_copy(list
->p
[i
]));
3625 isl_pw_aff_list_free(list
);
3628 isl_pw_aff_list_free(list
);
3632 /* Return an isl_pw_aff that maps each element in the intersection of the
3633 * domains of the elements of list to the minimal corresponding affine
3636 __isl_give isl_pw_aff
*isl_pw_aff_list_min(__isl_take isl_pw_aff_list
*list
)
3638 return pw_aff_list_reduce(list
, &isl_pw_aff_min
);
3641 /* Return an isl_pw_aff that maps each element in the intersection of the
3642 * domains of the elements of list to the maximal corresponding affine
3645 __isl_give isl_pw_aff
*isl_pw_aff_list_max(__isl_take isl_pw_aff_list
*list
)
3647 return pw_aff_list_reduce(list
, &isl_pw_aff_max
);
3650 /* Mark the domains of "pwaff" as rational.
3652 __isl_give isl_pw_aff
*isl_pw_aff_set_rational(__isl_take isl_pw_aff
*pwaff
)
3656 pwaff
= isl_pw_aff_cow(pwaff
);
3662 for (i
= 0; i
< pwaff
->n
; ++i
) {
3663 pwaff
->p
[i
].set
= isl_set_set_rational(pwaff
->p
[i
].set
);
3664 if (!pwaff
->p
[i
].set
)
3665 return isl_pw_aff_free(pwaff
);
3671 /* Mark the domains of the elements of "list" as rational.
3673 __isl_give isl_pw_aff_list
*isl_pw_aff_list_set_rational(
3674 __isl_take isl_pw_aff_list
*list
)
3684 for (i
= 0; i
< n
; ++i
) {
3687 pa
= isl_pw_aff_list_get_pw_aff(list
, i
);
3688 pa
= isl_pw_aff_set_rational(pa
);
3689 list
= isl_pw_aff_list_set_pw_aff(list
, i
, pa
);
3695 /* Do the parameters of "aff" match those of "space"?
3697 int isl_aff_matching_params(__isl_keep isl_aff
*aff
,
3698 __isl_keep isl_space
*space
)
3700 isl_space
*aff_space
;
3706 aff_space
= isl_aff_get_domain_space(aff
);
3708 match
= isl_space_match(space
, isl_dim_param
, aff_space
, isl_dim_param
);
3710 isl_space_free(aff_space
);
3714 /* Check that the domain space of "aff" matches "space".
3716 * Return 0 on success and -1 on error.
3718 int isl_aff_check_match_domain_space(__isl_keep isl_aff
*aff
,
3719 __isl_keep isl_space
*space
)
3721 isl_space
*aff_space
;
3727 aff_space
= isl_aff_get_domain_space(aff
);
3729 match
= isl_space_match(space
, isl_dim_param
, aff_space
, isl_dim_param
);
3733 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
3734 "parameters don't match", goto error
);
3735 match
= isl_space_tuple_is_equal(space
, isl_dim_in
,
3736 aff_space
, isl_dim_set
);
3740 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
3741 "domains don't match", goto error
);
3742 isl_space_free(aff_space
);
3745 isl_space_free(aff_space
);
3755 #include <isl_multi_templ.c>
3756 #include <isl_multi_apply_set.c>
3757 #include <isl_multi_cmp.c>
3758 #include <isl_multi_floor.c>
3759 #include <isl_multi_gist.c>
3763 /* Remove any internal structure of the domain of "ma".
3764 * If there is any such internal structure in the input,
3765 * then the name of the corresponding space is also removed.
3767 __isl_give isl_multi_aff
*isl_multi_aff_flatten_domain(
3768 __isl_take isl_multi_aff
*ma
)
3775 if (!ma
->space
->nested
[0])
3778 space
= isl_multi_aff_get_space(ma
);
3779 space
= isl_space_flatten_domain(space
);
3780 ma
= isl_multi_aff_reset_space(ma
, space
);
3785 /* Given a map space, return an isl_multi_aff that maps a wrapped copy
3786 * of the space to its domain.
3788 __isl_give isl_multi_aff
*isl_multi_aff_domain_map(__isl_take isl_space
*space
)
3791 isl_local_space
*ls
;
3796 if (!isl_space_is_map(space
))
3797 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
3798 "not a map space", goto error
);
3800 n_in
= isl_space_dim(space
, isl_dim_in
);
3801 space
= isl_space_domain_map(space
);
3803 ma
= isl_multi_aff_alloc(isl_space_copy(space
));
3805 isl_space_free(space
);
3809 space
= isl_space_domain(space
);
3810 ls
= isl_local_space_from_space(space
);
3811 for (i
= 0; i
< n_in
; ++i
) {
3814 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
3816 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
3818 isl_local_space_free(ls
);
3821 isl_space_free(space
);
3825 /* Given a map space, return an isl_multi_aff that maps a wrapped copy
3826 * of the space to its range.
3828 __isl_give isl_multi_aff
*isl_multi_aff_range_map(__isl_take isl_space
*space
)
3831 isl_local_space
*ls
;
3836 if (!isl_space_is_map(space
))
3837 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
3838 "not a map space", goto error
);
3840 n_in
= isl_space_dim(space
, isl_dim_in
);
3841 n_out
= isl_space_dim(space
, isl_dim_out
);
3842 space
= isl_space_range_map(space
);
3844 ma
= isl_multi_aff_alloc(isl_space_copy(space
));
3846 isl_space_free(space
);
3850 space
= isl_space_domain(space
);
3851 ls
= isl_local_space_from_space(space
);
3852 for (i
= 0; i
< n_out
; ++i
) {
3855 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
3856 isl_dim_set
, n_in
+ i
);
3857 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
3859 isl_local_space_free(ls
);
3862 isl_space_free(space
);
3866 /* Given a map space, return an isl_pw_multi_aff that maps a wrapped copy
3867 * of the space to its range.
3869 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_range_map(
3870 __isl_take isl_space
*space
)
3872 return isl_pw_multi_aff_from_multi_aff(isl_multi_aff_range_map(space
));
3875 /* Given the space of a set and a range of set dimensions,
3876 * construct an isl_multi_aff that projects out those dimensions.
3878 __isl_give isl_multi_aff
*isl_multi_aff_project_out_map(
3879 __isl_take isl_space
*space
, enum isl_dim_type type
,
3880 unsigned first
, unsigned n
)
3883 isl_local_space
*ls
;
3888 if (!isl_space_is_set(space
))
3889 isl_die(isl_space_get_ctx(space
), isl_error_unsupported
,
3890 "expecting set space", goto error
);
3891 if (type
!= isl_dim_set
)
3892 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
3893 "only set dimensions can be projected out", goto error
);
3895 dim
= isl_space_dim(space
, isl_dim_set
);
3896 if (first
+ n
> dim
)
3897 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
3898 "range out of bounds", goto error
);
3900 space
= isl_space_from_domain(space
);
3901 space
= isl_space_add_dims(space
, isl_dim_out
, dim
- n
);
3904 return isl_multi_aff_alloc(space
);
3906 ma
= isl_multi_aff_alloc(isl_space_copy(space
));
3907 space
= isl_space_domain(space
);
3908 ls
= isl_local_space_from_space(space
);
3910 for (i
= 0; i
< first
; ++i
) {
3913 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
3915 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
3918 for (i
= 0; i
< dim
- (first
+ n
); ++i
) {
3921 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
3922 isl_dim_set
, first
+ n
+ i
);
3923 ma
= isl_multi_aff_set_aff(ma
, first
+ i
, aff
);
3926 isl_local_space_free(ls
);
3929 isl_space_free(space
);
3933 /* Given the space of a set and a range of set dimensions,
3934 * construct an isl_pw_multi_aff that projects out those dimensions.
3936 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_project_out_map(
3937 __isl_take isl_space
*space
, enum isl_dim_type type
,
3938 unsigned first
, unsigned n
)
3942 ma
= isl_multi_aff_project_out_map(space
, type
, first
, n
);
3943 return isl_pw_multi_aff_from_multi_aff(ma
);
3946 /* Create an isl_pw_multi_aff with the given isl_multi_aff on a universe
3949 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_from_multi_aff(
3950 __isl_take isl_multi_aff
*ma
)
3952 isl_set
*dom
= isl_set_universe(isl_multi_aff_get_domain_space(ma
));
3953 return isl_pw_multi_aff_alloc(dom
, ma
);
3956 /* Create a piecewise multi-affine expression in the given space that maps each
3957 * input dimension to the corresponding output dimension.
3959 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_identity(
3960 __isl_take isl_space
*space
)
3962 return isl_pw_multi_aff_from_multi_aff(isl_multi_aff_identity(space
));
3965 /* Exploit the equalities in "eq" to simplify the affine expressions.
3967 static __isl_give isl_multi_aff
*isl_multi_aff_substitute_equalities(
3968 __isl_take isl_multi_aff
*maff
, __isl_take isl_basic_set
*eq
)
3972 maff
= isl_multi_aff_cow(maff
);
3976 for (i
= 0; i
< maff
->n
; ++i
) {
3977 maff
->p
[i
] = isl_aff_substitute_equalities(maff
->p
[i
],
3978 isl_basic_set_copy(eq
));
3983 isl_basic_set_free(eq
);
3986 isl_basic_set_free(eq
);
3987 isl_multi_aff_free(maff
);
3991 __isl_give isl_multi_aff
*isl_multi_aff_scale(__isl_take isl_multi_aff
*maff
,
3996 maff
= isl_multi_aff_cow(maff
);
4000 for (i
= 0; i
< maff
->n
; ++i
) {
4001 maff
->p
[i
] = isl_aff_scale(maff
->p
[i
], f
);
4003 return isl_multi_aff_free(maff
);
4009 __isl_give isl_multi_aff
*isl_multi_aff_add_on_domain(__isl_keep isl_set
*dom
,
4010 __isl_take isl_multi_aff
*maff1
, __isl_take isl_multi_aff
*maff2
)
4012 maff1
= isl_multi_aff_add(maff1
, maff2
);
4013 maff1
= isl_multi_aff_gist(maff1
, isl_set_copy(dom
));
4017 int isl_multi_aff_is_empty(__isl_keep isl_multi_aff
*maff
)
4025 /* Return the set of domain elements where "ma1" is lexicographically
4026 * smaller than or equal to "ma2".
4028 __isl_give isl_set
*isl_multi_aff_lex_le_set(__isl_take isl_multi_aff
*ma1
,
4029 __isl_take isl_multi_aff
*ma2
)
4031 return isl_multi_aff_lex_ge_set(ma2
, ma1
);
4034 /* Return the set of domain elements where "ma1" is lexicographically
4035 * smaller than "ma2".
4037 __isl_give isl_set
*isl_multi_aff_lex_lt_set(__isl_take isl_multi_aff
*ma1
,
4038 __isl_take isl_multi_aff
*ma2
)
4040 return isl_multi_aff_lex_gt_set(ma2
, ma1
);
4043 /* Return the set of domain elements where "ma1" and "ma2"
4046 static __isl_give isl_set
*isl_multi_aff_order_set(
4047 __isl_take isl_multi_aff
*ma1
, __isl_take isl_multi_aff
*ma2
,
4048 __isl_give isl_map
*order(__isl_take isl_space
*set_space
))
4051 isl_map
*map1
, *map2
;
4054 map1
= isl_map_from_multi_aff(ma1
);
4055 map2
= isl_map_from_multi_aff(ma2
);
4056 map
= isl_map_range_product(map1
, map2
);
4057 space
= isl_space_range(isl_map_get_space(map
));
4058 space
= isl_space_domain(isl_space_unwrap(space
));
4060 map
= isl_map_intersect_range(map
, isl_map_wrap(ge
));
4062 return isl_map_domain(map
);
4065 /* Return the set of domain elements where "ma1" is lexicographically
4066 * greater than or equal to "ma2".
4068 __isl_give isl_set
*isl_multi_aff_lex_ge_set(__isl_take isl_multi_aff
*ma1
,
4069 __isl_take isl_multi_aff
*ma2
)
4071 return isl_multi_aff_order_set(ma1
, ma2
, &isl_map_lex_ge
);
4074 /* Return the set of domain elements where "ma1" is lexicographically
4075 * greater than "ma2".
4077 __isl_give isl_set
*isl_multi_aff_lex_gt_set(__isl_take isl_multi_aff
*ma1
,
4078 __isl_take isl_multi_aff
*ma2
)
4080 return isl_multi_aff_order_set(ma1
, ma2
, &isl_map_lex_gt
);
4084 #define PW isl_pw_multi_aff
4086 #define EL isl_multi_aff
4088 #define EL_IS_ZERO is_empty
4092 #define IS_ZERO is_empty
4095 #undef DEFAULT_IS_ZERO
4096 #define DEFAULT_IS_ZERO 0
4101 #define NO_INVOLVES_DIMS
4102 #define NO_INSERT_DIMS
4106 #include <isl_pw_templ.c>
4107 #include <isl_pw_union_opt.c>
4112 #define UNION isl_union_pw_multi_aff
4114 #define PART isl_pw_multi_aff
4116 #define PARTS pw_multi_aff
4118 #include <isl_union_multi.c>
4119 #include <isl_union_neg.c>
4121 static __isl_give isl_pw_multi_aff
*pw_multi_aff_union_lexmax(
4122 __isl_take isl_pw_multi_aff
*pma1
,
4123 __isl_take isl_pw_multi_aff
*pma2
)
4125 return isl_pw_multi_aff_union_opt_cmp(pma1
, pma2
,
4126 &isl_multi_aff_lex_ge_set
);
4129 /* Given two piecewise multi affine expressions, return a piecewise
4130 * multi-affine expression defined on the union of the definition domains
4131 * of the inputs that is equal to the lexicographic maximum of the two
4132 * inputs on each cell. If only one of the two inputs is defined on
4133 * a given cell, then it is considered to be the maximum.
4135 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_union_lexmax(
4136 __isl_take isl_pw_multi_aff
*pma1
,
4137 __isl_take isl_pw_multi_aff
*pma2
)
4139 return isl_pw_multi_aff_align_params_pw_pw_and(pma1
, pma2
,
4140 &pw_multi_aff_union_lexmax
);
4143 static __isl_give isl_pw_multi_aff
*pw_multi_aff_union_lexmin(
4144 __isl_take isl_pw_multi_aff
*pma1
,
4145 __isl_take isl_pw_multi_aff
*pma2
)
4147 return isl_pw_multi_aff_union_opt_cmp(pma1
, pma2
,
4148 &isl_multi_aff_lex_le_set
);
4151 /* Given two piecewise multi affine expressions, return a piecewise
4152 * multi-affine expression defined on the union of the definition domains
4153 * of the inputs that is equal to the lexicographic minimum of the two
4154 * inputs on each cell. If only one of the two inputs is defined on
4155 * a given cell, then it is considered to be the minimum.
4157 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_union_lexmin(
4158 __isl_take isl_pw_multi_aff
*pma1
,
4159 __isl_take isl_pw_multi_aff
*pma2
)
4161 return isl_pw_multi_aff_align_params_pw_pw_and(pma1
, pma2
,
4162 &pw_multi_aff_union_lexmin
);
4165 static __isl_give isl_pw_multi_aff
*pw_multi_aff_add(
4166 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
4168 return isl_pw_multi_aff_on_shared_domain(pma1
, pma2
,
4169 &isl_multi_aff_add
);
4172 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_add(
4173 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
4175 return isl_pw_multi_aff_align_params_pw_pw_and(pma1
, pma2
,
4179 static __isl_give isl_pw_multi_aff
*pw_multi_aff_sub(
4180 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
4182 return isl_pw_multi_aff_on_shared_domain(pma1
, pma2
,
4183 &isl_multi_aff_sub
);
4186 /* Subtract "pma2" from "pma1" and return the result.
4188 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_sub(
4189 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
4191 return isl_pw_multi_aff_align_params_pw_pw_and(pma1
, pma2
,
4195 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_union_add(
4196 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
4198 return isl_pw_multi_aff_union_add_(pma1
, pma2
);
4201 /* Compute the sum of "upa1" and "upa2" on the union of their domains,
4202 * with the actual sum on the shared domain and
4203 * the defined expression on the symmetric difference of the domains.
4205 __isl_give isl_union_pw_aff
*isl_union_pw_aff_union_add(
4206 __isl_take isl_union_pw_aff
*upa1
, __isl_take isl_union_pw_aff
*upa2
)
4208 return isl_union_pw_aff_union_add_(upa1
, upa2
);
4211 /* Compute the sum of "upma1" and "upma2" on the union of their domains,
4212 * with the actual sum on the shared domain and
4213 * the defined expression on the symmetric difference of the domains.
4215 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_union_add(
4216 __isl_take isl_union_pw_multi_aff
*upma1
,
4217 __isl_take isl_union_pw_multi_aff
*upma2
)
4219 return isl_union_pw_multi_aff_union_add_(upma1
, upma2
);
4222 /* Given two piecewise multi-affine expressions A -> B and C -> D,
4223 * construct a piecewise multi-affine expression [A -> C] -> [B -> D].
4225 static __isl_give isl_pw_multi_aff
*pw_multi_aff_product(
4226 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
4230 isl_pw_multi_aff
*res
;
4235 n
= pma1
->n
* pma2
->n
;
4236 space
= isl_space_product(isl_space_copy(pma1
->dim
),
4237 isl_space_copy(pma2
->dim
));
4238 res
= isl_pw_multi_aff_alloc_size(space
, n
);
4240 for (i
= 0; i
< pma1
->n
; ++i
) {
4241 for (j
= 0; j
< pma2
->n
; ++j
) {
4245 domain
= isl_set_product(isl_set_copy(pma1
->p
[i
].set
),
4246 isl_set_copy(pma2
->p
[j
].set
));
4247 ma
= isl_multi_aff_product(
4248 isl_multi_aff_copy(pma1
->p
[i
].maff
),
4249 isl_multi_aff_copy(pma2
->p
[j
].maff
));
4250 res
= isl_pw_multi_aff_add_piece(res
, domain
, ma
);
4254 isl_pw_multi_aff_free(pma1
);
4255 isl_pw_multi_aff_free(pma2
);
4258 isl_pw_multi_aff_free(pma1
);
4259 isl_pw_multi_aff_free(pma2
);
4263 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_product(
4264 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
4266 return isl_pw_multi_aff_align_params_pw_pw_and(pma1
, pma2
,
4267 &pw_multi_aff_product
);
4270 /* Construct a map mapping the domain of the piecewise multi-affine expression
4271 * to its range, with each dimension in the range equated to the
4272 * corresponding affine expression on its cell.
4274 __isl_give isl_map
*isl_map_from_pw_multi_aff(__isl_take isl_pw_multi_aff
*pma
)
4282 map
= isl_map_empty(isl_pw_multi_aff_get_space(pma
));
4284 for (i
= 0; i
< pma
->n
; ++i
) {
4285 isl_multi_aff
*maff
;
4286 isl_basic_map
*bmap
;
4289 maff
= isl_multi_aff_copy(pma
->p
[i
].maff
);
4290 bmap
= isl_basic_map_from_multi_aff(maff
);
4291 map_i
= isl_map_from_basic_map(bmap
);
4292 map_i
= isl_map_intersect_domain(map_i
,
4293 isl_set_copy(pma
->p
[i
].set
));
4294 map
= isl_map_union_disjoint(map
, map_i
);
4297 isl_pw_multi_aff_free(pma
);
4301 __isl_give isl_set
*isl_set_from_pw_multi_aff(__isl_take isl_pw_multi_aff
*pma
)
4306 if (!isl_space_is_set(pma
->dim
))
4307 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
4308 "isl_pw_multi_aff cannot be converted into an isl_set",
4311 return isl_map_from_pw_multi_aff(pma
);
4313 isl_pw_multi_aff_free(pma
);
4317 /* Subtract the initial "n" elements in "ma" with coefficients in "c" and
4318 * denominator "denom".
4319 * "denom" is allowed to be negative, in which case the actual denominator
4320 * is -denom and the expressions are added instead.
4322 static __isl_give isl_aff
*subtract_initial(__isl_take isl_aff
*aff
,
4323 __isl_keep isl_multi_aff
*ma
, int n
, isl_int
*c
, isl_int denom
)
4329 first
= isl_seq_first_non_zero(c
, n
);
4333 sign
= isl_int_sgn(denom
);
4335 isl_int_abs(d
, denom
);
4336 for (i
= first
; i
< n
; ++i
) {
4339 if (isl_int_is_zero(c
[i
]))
4341 aff_i
= isl_multi_aff_get_aff(ma
, i
);
4342 aff_i
= isl_aff_scale(aff_i
, c
[i
]);
4343 aff_i
= isl_aff_scale_down(aff_i
, d
);
4345 aff
= isl_aff_sub(aff
, aff_i
);
4347 aff
= isl_aff_add(aff
, aff_i
);
4354 /* Extract an affine expression that expresses the output dimension "pos"
4355 * of "bmap" in terms of the parameters and input dimensions from
4357 * Note that this expression may involve integer divisions defined
4358 * in terms of parameters and input dimensions.
4359 * The equality may also involve references to earlier (but not later)
4360 * output dimensions. These are replaced by the corresponding elements
4363 * If the equality is of the form
4365 * f(i) + h(j) + a x + g(i) = 0,
4367 * with f(i) a linear combinations of the parameters and input dimensions,
4368 * g(i) a linear combination of integer divisions defined in terms of the same
4369 * and h(j) a linear combinations of earlier output dimensions,
4370 * then the affine expression is
4372 * (-f(i) - g(i))/a - h(j)/a
4374 * If the equality is of the form
4376 * f(i) + h(j) - a x + g(i) = 0,
4378 * then the affine expression is
4380 * (f(i) + g(i))/a - h(j)/(-a)
4383 * If "div" refers to an integer division (i.e., it is smaller than
4384 * the number of integer divisions), then the equality constraint
4385 * does involve an integer division (the one at position "div") that
4386 * is defined in terms of output dimensions. However, this integer
4387 * division can be eliminated by exploiting a pair of constraints
4388 * x >= l and x <= l + n, with n smaller than the coefficient of "div"
4389 * in the equality constraint. "ineq" refers to inequality x >= l, i.e.,
4391 * In particular, let
4393 * x = e(i) + m floor(...)
4395 * with e(i) the expression derived above and floor(...) the integer
4396 * division involving output dimensions.
4407 * e(i) + m floor(...) - l = (e(i) + m floor(...) - l) mod m
4408 * = (e(i) - l) mod m
4412 * x - l = (e(i) - l) mod m
4416 * x = ((e(i) - l) mod m) + l
4418 * The variable "shift" below contains the expression -l, which may
4419 * also involve a linear combination of earlier output dimensions.
4421 static __isl_give isl_aff
*extract_aff_from_equality(
4422 __isl_keep isl_basic_map
*bmap
, int pos
, int eq
, int div
, int ineq
,
4423 __isl_keep isl_multi_aff
*ma
)
4426 unsigned n_div
, n_out
;
4428 isl_local_space
*ls
;
4429 isl_aff
*aff
, *shift
;
4432 ctx
= isl_basic_map_get_ctx(bmap
);
4433 ls
= isl_basic_map_get_local_space(bmap
);
4434 ls
= isl_local_space_domain(ls
);
4435 aff
= isl_aff_alloc(isl_local_space_copy(ls
));
4438 o_out
= isl_basic_map_offset(bmap
, isl_dim_out
);
4439 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
4440 n_div
= isl_basic_map_dim(bmap
, isl_dim_div
);
4441 if (isl_int_is_neg(bmap
->eq
[eq
][o_out
+ pos
])) {
4442 isl_seq_cpy(aff
->v
->el
+ 1, bmap
->eq
[eq
], o_out
);
4443 isl_seq_cpy(aff
->v
->el
+ 1 + o_out
,
4444 bmap
->eq
[eq
] + o_out
+ n_out
, n_div
);
4446 isl_seq_neg(aff
->v
->el
+ 1, bmap
->eq
[eq
], o_out
);
4447 isl_seq_neg(aff
->v
->el
+ 1 + o_out
,
4448 bmap
->eq
[eq
] + o_out
+ n_out
, n_div
);
4451 isl_int_set_si(aff
->v
->el
[1 + o_out
+ div
], 0);
4452 isl_int_abs(aff
->v
->el
[0], bmap
->eq
[eq
][o_out
+ pos
]);
4453 aff
= subtract_initial(aff
, ma
, pos
, bmap
->eq
[eq
] + o_out
,
4454 bmap
->eq
[eq
][o_out
+ pos
]);
4456 shift
= isl_aff_alloc(isl_local_space_copy(ls
));
4459 isl_seq_cpy(shift
->v
->el
+ 1, bmap
->ineq
[ineq
], o_out
);
4460 isl_seq_cpy(shift
->v
->el
+ 1 + o_out
,
4461 bmap
->ineq
[ineq
] + o_out
+ n_out
, n_div
);
4462 isl_int_set_si(shift
->v
->el
[0], 1);
4463 shift
= subtract_initial(shift
, ma
, pos
,
4464 bmap
->ineq
[ineq
] + o_out
, ctx
->negone
);
4465 aff
= isl_aff_add(aff
, isl_aff_copy(shift
));
4466 mod
= isl_val_int_from_isl_int(ctx
,
4467 bmap
->eq
[eq
][o_out
+ n_out
+ div
]);
4468 mod
= isl_val_abs(mod
);
4469 aff
= isl_aff_mod_val(aff
, mod
);
4470 aff
= isl_aff_sub(aff
, shift
);
4473 isl_local_space_free(ls
);
4476 isl_local_space_free(ls
);
4481 /* Given a basic map with output dimensions defined
4482 * in terms of the parameters input dimensions and earlier
4483 * output dimensions using an equality (and possibly a pair on inequalities),
4484 * extract an isl_aff that expresses output dimension "pos" in terms
4485 * of the parameters and input dimensions.
4486 * Note that this expression may involve integer divisions defined
4487 * in terms of parameters and input dimensions.
4488 * "ma" contains the expressions corresponding to earlier output dimensions.
4490 * This function shares some similarities with
4491 * isl_basic_map_has_defining_equality and isl_constraint_get_bound.
4493 static __isl_give isl_aff
*extract_isl_aff_from_basic_map(
4494 __isl_keep isl_basic_map
*bmap
, int pos
, __isl_keep isl_multi_aff
*ma
)
4501 eq
= isl_basic_map_output_defining_equality(bmap
, pos
, &div
, &ineq
);
4502 if (eq
>= bmap
->n_eq
)
4503 isl_die(isl_basic_map_get_ctx(bmap
), isl_error_invalid
,
4504 "unable to find suitable equality", return NULL
);
4505 aff
= extract_aff_from_equality(bmap
, pos
, eq
, div
, ineq
, ma
);
4507 aff
= isl_aff_remove_unused_divs(aff
);
4511 /* Given a basic map where each output dimension is defined
4512 * in terms of the parameters and input dimensions using an equality,
4513 * extract an isl_multi_aff that expresses the output dimensions in terms
4514 * of the parameters and input dimensions.
4516 static __isl_give isl_multi_aff
*extract_isl_multi_aff_from_basic_map(
4517 __isl_take isl_basic_map
*bmap
)
4526 ma
= isl_multi_aff_alloc(isl_basic_map_get_space(bmap
));
4527 n_out
= isl_basic_map_dim(bmap
, isl_dim_out
);
4529 for (i
= 0; i
< n_out
; ++i
) {
4532 aff
= extract_isl_aff_from_basic_map(bmap
, i
, ma
);
4533 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
4536 isl_basic_map_free(bmap
);
4541 /* Given a basic set where each set dimension is defined
4542 * in terms of the parameters using an equality,
4543 * extract an isl_multi_aff that expresses the set dimensions in terms
4544 * of the parameters.
4546 __isl_give isl_multi_aff
*isl_multi_aff_from_basic_set_equalities(
4547 __isl_take isl_basic_set
*bset
)
4549 return extract_isl_multi_aff_from_basic_map(bset
);
4552 /* Create an isl_pw_multi_aff that is equivalent to
4553 * isl_map_intersect_domain(isl_map_from_basic_map(bmap), domain).
4554 * The given basic map is such that each output dimension is defined
4555 * in terms of the parameters and input dimensions using an equality.
4557 * Since some applications expect the result of isl_pw_multi_aff_from_map
4558 * to only contain integer affine expressions, we compute the floor
4559 * of the expression before returning.
4561 * Remove all constraints involving local variables without
4562 * an explicit representation (resulting in the removal of those
4563 * local variables) prior to the actual extraction to ensure
4564 * that the local spaces in which the resulting affine expressions
4565 * are created do not contain any unknown local variables.
4566 * Removing such constraints is safe because constraints involving
4567 * unknown local variables are not used to determine whether
4568 * a basic map is obviously single-valued.
4570 static __isl_give isl_pw_multi_aff
*plain_pw_multi_aff_from_map(
4571 __isl_take isl_set
*domain
, __isl_take isl_basic_map
*bmap
)
4575 bmap
= isl_basic_map_drop_constraint_involving_unknown_divs(bmap
);
4576 ma
= extract_isl_multi_aff_from_basic_map(bmap
);
4577 ma
= isl_multi_aff_floor(ma
);
4578 return isl_pw_multi_aff_alloc(domain
, ma
);
4581 /* Try and create an isl_pw_multi_aff that is equivalent to the given isl_map.
4582 * This obviously only works if the input "map" is single-valued.
4583 * If so, we compute the lexicographic minimum of the image in the form
4584 * of an isl_pw_multi_aff. Since the image is unique, it is equal
4585 * to its lexicographic minimum.
4586 * If the input is not single-valued, we produce an error.
4588 static __isl_give isl_pw_multi_aff
*pw_multi_aff_from_map_base(
4589 __isl_take isl_map
*map
)
4593 isl_pw_multi_aff
*pma
;
4595 sv
= isl_map_is_single_valued(map
);
4599 isl_die(isl_map_get_ctx(map
), isl_error_invalid
,
4600 "map is not single-valued", goto error
);
4601 map
= isl_map_make_disjoint(map
);
4605 pma
= isl_pw_multi_aff_empty(isl_map_get_space(map
));
4607 for (i
= 0; i
< map
->n
; ++i
) {
4608 isl_pw_multi_aff
*pma_i
;
4609 isl_basic_map
*bmap
;
4610 bmap
= isl_basic_map_copy(map
->p
[i
]);
4611 pma_i
= isl_basic_map_lexmin_pw_multi_aff(bmap
);
4612 pma
= isl_pw_multi_aff_add_disjoint(pma
, pma_i
);
4622 /* Try and create an isl_pw_multi_aff that is equivalent to the given isl_map,
4623 * taking into account that the output dimension at position "d"
4624 * can be represented as
4626 * x = floor((e(...) + c1) / m)
4628 * given that constraint "i" is of the form
4630 * e(...) + c1 - m x >= 0
4633 * Let "map" be of the form
4637 * We construct a mapping
4639 * A -> [A -> x = floor(...)]
4641 * apply that to the map, obtaining
4643 * [A -> x = floor(...)] -> B
4645 * and equate dimension "d" to x.
4646 * We then compute a isl_pw_multi_aff representation of the resulting map
4647 * and plug in the mapping above.
4649 static __isl_give isl_pw_multi_aff
*pw_multi_aff_from_map_div(
4650 __isl_take isl_map
*map
, __isl_take isl_basic_map
*hull
, int d
, int i
)
4654 isl_local_space
*ls
;
4662 isl_pw_multi_aff
*pma
;
4665 is_set
= isl_map_is_set(map
);
4667 offset
= isl_basic_map_offset(hull
, isl_dim_out
);
4668 ctx
= isl_map_get_ctx(map
);
4669 space
= isl_space_domain(isl_map_get_space(map
));
4670 n_in
= isl_space_dim(space
, isl_dim_set
);
4671 n
= isl_space_dim(space
, isl_dim_all
);
4673 v
= isl_vec_alloc(ctx
, 1 + 1 + n
);
4675 isl_int_neg(v
->el
[0], hull
->ineq
[i
][offset
+ d
]);
4676 isl_seq_cpy(v
->el
+ 1, hull
->ineq
[i
], 1 + n
);
4678 isl_basic_map_free(hull
);
4680 ls
= isl_local_space_from_space(isl_space_copy(space
));
4681 aff
= isl_aff_alloc_vec(ls
, v
);
4682 aff
= isl_aff_floor(aff
);
4684 isl_space_free(space
);
4685 ma
= isl_multi_aff_from_aff(aff
);
4687 ma
= isl_multi_aff_identity(isl_space_map_from_set(space
));
4688 ma
= isl_multi_aff_range_product(ma
,
4689 isl_multi_aff_from_aff(aff
));
4692 insert
= isl_map_from_multi_aff(isl_multi_aff_copy(ma
));
4693 map
= isl_map_apply_domain(map
, insert
);
4694 map
= isl_map_equate(map
, isl_dim_in
, n_in
, isl_dim_out
, d
);
4695 pma
= isl_pw_multi_aff_from_map(map
);
4696 pma
= isl_pw_multi_aff_pullback_multi_aff(pma
, ma
);
4701 /* Is constraint "c" of the form
4703 * e(...) + c1 - m x >= 0
4707 * -e(...) + c2 + m x >= 0
4709 * where m > 1 and e only depends on parameters and input dimemnsions?
4711 * "offset" is the offset of the output dimensions
4712 * "pos" is the position of output dimension x.
4714 static int is_potential_div_constraint(isl_int
*c
, int offset
, int d
, int total
)
4716 if (isl_int_is_zero(c
[offset
+ d
]))
4718 if (isl_int_is_one(c
[offset
+ d
]))
4720 if (isl_int_is_negone(c
[offset
+ d
]))
4722 if (isl_seq_first_non_zero(c
+ offset
, d
) != -1)
4724 if (isl_seq_first_non_zero(c
+ offset
+ d
+ 1,
4725 total
- (offset
+ d
+ 1)) != -1)
4730 /* Try and create an isl_pw_multi_aff that is equivalent to the given isl_map.
4732 * As a special case, we first check if there is any pair of constraints,
4733 * shared by all the basic maps in "map" that force a given dimension
4734 * to be equal to the floor of some affine combination of the input dimensions.
4736 * In particular, if we can find two constraints
4738 * e(...) + c1 - m x >= 0 i.e., m x <= e(...) + c1
4742 * -e(...) + c2 + m x >= 0 i.e., m x >= e(...) - c2
4744 * where m > 1 and e only depends on parameters and input dimemnsions,
4747 * c1 + c2 < m i.e., -c2 >= c1 - (m - 1)
4749 * then we know that we can take
4751 * x = floor((e(...) + c1) / m)
4753 * without having to perform any computation.
4755 * Note that we know that
4759 * If c1 + c2 were 0, then we would have detected an equality during
4760 * simplification. If c1 + c2 were negative, then we would have detected
4763 static __isl_give isl_pw_multi_aff
*pw_multi_aff_from_map_check_div(
4764 __isl_take isl_map
*map
)
4770 isl_basic_map
*hull
;
4772 hull
= isl_map_unshifted_simple_hull(isl_map_copy(map
));
4777 dim
= isl_map_dim(map
, isl_dim_out
);
4778 offset
= isl_basic_map_offset(hull
, isl_dim_out
);
4779 total
= 1 + isl_basic_map_total_dim(hull
);
4781 for (d
= 0; d
< dim
; ++d
) {
4782 for (i
= 0; i
< n
; ++i
) {
4783 if (!is_potential_div_constraint(hull
->ineq
[i
],
4786 for (j
= i
+ 1; j
< n
; ++j
) {
4787 if (!isl_seq_is_neg(hull
->ineq
[i
] + 1,
4788 hull
->ineq
[j
] + 1, total
- 1))
4790 isl_int_add(sum
, hull
->ineq
[i
][0],
4792 if (isl_int_abs_lt(sum
,
4793 hull
->ineq
[i
][offset
+ d
]))
4800 if (isl_int_is_pos(hull
->ineq
[j
][offset
+ d
]))
4802 return pw_multi_aff_from_map_div(map
, hull
, d
, j
);
4806 isl_basic_map_free(hull
);
4807 return pw_multi_aff_from_map_base(map
);
4810 isl_basic_map_free(hull
);
4814 /* Given an affine expression
4816 * [A -> B] -> f(A,B)
4818 * construct an isl_multi_aff
4822 * such that dimension "d" in B' is set to "aff" and the remaining
4823 * dimensions are set equal to the corresponding dimensions in B.
4824 * "n_in" is the dimension of the space A.
4825 * "n_out" is the dimension of the space B.
4827 * If "is_set" is set, then the affine expression is of the form
4831 * and we construct an isl_multi_aff
4835 static __isl_give isl_multi_aff
*range_map(__isl_take isl_aff
*aff
, int d
,
4836 unsigned n_in
, unsigned n_out
, int is_set
)
4840 isl_space
*space
, *space2
;
4841 isl_local_space
*ls
;
4843 space
= isl_aff_get_domain_space(aff
);
4844 ls
= isl_local_space_from_space(isl_space_copy(space
));
4845 space2
= isl_space_copy(space
);
4847 space2
= isl_space_range(isl_space_unwrap(space2
));
4848 space
= isl_space_map_from_domain_and_range(space
, space2
);
4849 ma
= isl_multi_aff_alloc(space
);
4850 ma
= isl_multi_aff_set_aff(ma
, d
, aff
);
4852 for (i
= 0; i
< n_out
; ++i
) {
4855 aff
= isl_aff_var_on_domain(isl_local_space_copy(ls
),
4856 isl_dim_set
, n_in
+ i
);
4857 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
4860 isl_local_space_free(ls
);
4865 /* Try and create an isl_pw_multi_aff that is equivalent to the given isl_map,
4866 * taking into account that the dimension at position "d" can be written as
4868 * x = m a + f(..) (1)
4870 * where m is equal to "gcd".
4871 * "i" is the index of the equality in "hull" that defines f(..).
4872 * In particular, the equality is of the form
4874 * f(..) - x + m g(existentials) = 0
4878 * -f(..) + x + m g(existentials) = 0
4880 * We basically plug (1) into "map", resulting in a map with "a"
4881 * in the range instead of "x". The corresponding isl_pw_multi_aff
4882 * defining "a" is then plugged back into (1) to obtain a definition for "x".
4884 * Specifically, given the input map
4888 * We first wrap it into a set
4892 * and define (1) on top of the corresponding space, resulting in "aff".
4893 * We use this to create an isl_multi_aff that maps the output position "d"
4894 * from "a" to "x", leaving all other (intput and output) dimensions unchanged.
4895 * We plug this into the wrapped map, unwrap the result and compute the
4896 * corresponding isl_pw_multi_aff.
4897 * The result is an expression
4905 * so that we can plug that into "aff", after extending the latter to
4911 * If "map" is actually a set, then there is no "A" space, meaning
4912 * that we do not need to perform any wrapping, and that the result
4913 * of the recursive call is of the form
4917 * which is plugged into a mapping of the form
4921 static __isl_give isl_pw_multi_aff
*pw_multi_aff_from_map_stride(
4922 __isl_take isl_map
*map
, __isl_take isl_basic_map
*hull
, int d
, int i
,
4927 isl_local_space
*ls
;
4930 isl_pw_multi_aff
*pma
, *id
;
4936 is_set
= isl_map_is_set(map
);
4938 n_in
= isl_basic_map_dim(hull
, isl_dim_in
);
4939 n_out
= isl_basic_map_dim(hull
, isl_dim_out
);
4940 o_out
= isl_basic_map_offset(hull
, isl_dim_out
);
4945 set
= isl_map_wrap(map
);
4946 space
= isl_space_map_from_set(isl_set_get_space(set
));
4947 ma
= isl_multi_aff_identity(space
);
4948 ls
= isl_local_space_from_space(isl_set_get_space(set
));
4949 aff
= isl_aff_alloc(ls
);
4951 isl_int_set_si(aff
->v
->el
[0], 1);
4952 if (isl_int_is_one(hull
->eq
[i
][o_out
+ d
]))
4953 isl_seq_neg(aff
->v
->el
+ 1, hull
->eq
[i
],
4956 isl_seq_cpy(aff
->v
->el
+ 1, hull
->eq
[i
],
4958 isl_int_set(aff
->v
->el
[1 + o_out
+ d
], gcd
);
4960 ma
= isl_multi_aff_set_aff(ma
, n_in
+ d
, isl_aff_copy(aff
));
4961 set
= isl_set_preimage_multi_aff(set
, ma
);
4963 ma
= range_map(aff
, d
, n_in
, n_out
, is_set
);
4968 map
= isl_set_unwrap(set
);
4969 pma
= isl_pw_multi_aff_from_map(map
);
4972 space
= isl_pw_multi_aff_get_domain_space(pma
);
4973 space
= isl_space_map_from_set(space
);
4974 id
= isl_pw_multi_aff_identity(space
);
4975 pma
= isl_pw_multi_aff_range_product(id
, pma
);
4977 id
= isl_pw_multi_aff_from_multi_aff(ma
);
4978 pma
= isl_pw_multi_aff_pullback_pw_multi_aff(id
, pma
);
4980 isl_basic_map_free(hull
);
4984 /* Try and create an isl_pw_multi_aff that is equivalent to the given isl_map.
4986 * As a special case, we first check if all output dimensions are uniquely
4987 * defined in terms of the parameters and input dimensions over the entire
4988 * domain. If so, we extract the desired isl_pw_multi_aff directly
4989 * from the affine hull of "map" and its domain.
4991 * Otherwise, we check if any of the output dimensions is "strided".
4992 * That is, we check if can be written as
4996 * with m greater than 1, a some combination of existentially quantified
4997 * variables and f an expression in the parameters and input dimensions.
4998 * If so, we remove the stride in pw_multi_aff_from_map_stride.
5000 * Otherwise, we continue with pw_multi_aff_from_map_check_div for a further
5003 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_from_map(__isl_take isl_map
*map
)
5007 isl_basic_map
*hull
;
5017 map
= isl_map_detect_equalities(map
);
5018 hull
= isl_map_unshifted_simple_hull(isl_map_copy(map
));
5019 sv
= isl_basic_map_plain_is_single_valued(hull
);
5021 return plain_pw_multi_aff_from_map(isl_map_domain(map
), hull
);
5023 hull
= isl_basic_map_free(hull
);
5027 n_div
= isl_basic_map_dim(hull
, isl_dim_div
);
5028 o_div
= isl_basic_map_offset(hull
, isl_dim_div
);
5031 isl_basic_map_free(hull
);
5032 return pw_multi_aff_from_map_check_div(map
);
5037 n_out
= isl_basic_map_dim(hull
, isl_dim_out
);
5038 o_out
= isl_basic_map_offset(hull
, isl_dim_out
);
5040 for (i
= 0; i
< n_out
; ++i
) {
5041 for (j
= 0; j
< hull
->n_eq
; ++j
) {
5042 isl_int
*eq
= hull
->eq
[j
];
5043 isl_pw_multi_aff
*res
;
5045 if (!isl_int_is_one(eq
[o_out
+ i
]) &&
5046 !isl_int_is_negone(eq
[o_out
+ i
]))
5048 if (isl_seq_first_non_zero(eq
+ o_out
, i
) != -1)
5050 if (isl_seq_first_non_zero(eq
+ o_out
+ i
+ 1,
5051 n_out
- (i
+ 1)) != -1)
5053 isl_seq_gcd(eq
+ o_div
, n_div
, &gcd
);
5054 if (isl_int_is_zero(gcd
))
5056 if (isl_int_is_one(gcd
))
5059 res
= pw_multi_aff_from_map_stride(map
, hull
,
5067 isl_basic_map_free(hull
);
5068 return pw_multi_aff_from_map_check_div(map
);
5074 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_from_set(__isl_take isl_set
*set
)
5076 return isl_pw_multi_aff_from_map(set
);
5079 /* Convert "map" into an isl_pw_multi_aff (if possible) and
5082 static isl_stat
pw_multi_aff_from_map(__isl_take isl_map
*map
, void *user
)
5084 isl_union_pw_multi_aff
**upma
= user
;
5085 isl_pw_multi_aff
*pma
;
5087 pma
= isl_pw_multi_aff_from_map(map
);
5088 *upma
= isl_union_pw_multi_aff_add_pw_multi_aff(*upma
, pma
);
5090 return *upma
? isl_stat_ok
: isl_stat_error
;
5093 /* Create an isl_union_pw_multi_aff with the given isl_aff on a universe
5096 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_from_aff(
5097 __isl_take isl_aff
*aff
)
5100 isl_pw_multi_aff
*pma
;
5102 ma
= isl_multi_aff_from_aff(aff
);
5103 pma
= isl_pw_multi_aff_from_multi_aff(ma
);
5104 return isl_union_pw_multi_aff_from_pw_multi_aff(pma
);
5107 /* Try and create an isl_union_pw_multi_aff that is equivalent
5108 * to the given isl_union_map.
5109 * The isl_union_map is required to be single-valued in each space.
5110 * Otherwise, an error is produced.
5112 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_from_union_map(
5113 __isl_take isl_union_map
*umap
)
5116 isl_union_pw_multi_aff
*upma
;
5118 space
= isl_union_map_get_space(umap
);
5119 upma
= isl_union_pw_multi_aff_empty(space
);
5120 if (isl_union_map_foreach_map(umap
, &pw_multi_aff_from_map
, &upma
) < 0)
5121 upma
= isl_union_pw_multi_aff_free(upma
);
5122 isl_union_map_free(umap
);
5127 /* Try and create an isl_union_pw_multi_aff that is equivalent
5128 * to the given isl_union_set.
5129 * The isl_union_set is required to be a singleton in each space.
5130 * Otherwise, an error is produced.
5132 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_from_union_set(
5133 __isl_take isl_union_set
*uset
)
5135 return isl_union_pw_multi_aff_from_union_map(uset
);
5138 /* Return the piecewise affine expression "set ? 1 : 0".
5140 __isl_give isl_pw_aff
*isl_set_indicator_function(__isl_take isl_set
*set
)
5143 isl_space
*space
= isl_set_get_space(set
);
5144 isl_local_space
*ls
= isl_local_space_from_space(space
);
5145 isl_aff
*zero
= isl_aff_zero_on_domain(isl_local_space_copy(ls
));
5146 isl_aff
*one
= isl_aff_zero_on_domain(ls
);
5148 one
= isl_aff_add_constant_si(one
, 1);
5149 pa
= isl_pw_aff_alloc(isl_set_copy(set
), one
);
5150 set
= isl_set_complement(set
);
5151 pa
= isl_pw_aff_add_disjoint(pa
, isl_pw_aff_alloc(set
, zero
));
5156 /* Plug in "subs" for dimension "type", "pos" of "aff".
5158 * Let i be the dimension to replace and let "subs" be of the form
5162 * and "aff" of the form
5168 * (a f + d g')/(m d)
5170 * where g' is the result of plugging in "subs" in each of the integer
5173 __isl_give isl_aff
*isl_aff_substitute(__isl_take isl_aff
*aff
,
5174 enum isl_dim_type type
, unsigned pos
, __isl_keep isl_aff
*subs
)
5179 aff
= isl_aff_cow(aff
);
5181 return isl_aff_free(aff
);
5183 ctx
= isl_aff_get_ctx(aff
);
5184 if (!isl_space_is_equal(aff
->ls
->dim
, subs
->ls
->dim
))
5185 isl_die(ctx
, isl_error_invalid
,
5186 "spaces don't match", return isl_aff_free(aff
));
5187 if (isl_local_space_dim(subs
->ls
, isl_dim_div
) != 0)
5188 isl_die(ctx
, isl_error_unsupported
,
5189 "cannot handle divs yet", return isl_aff_free(aff
));
5191 aff
->ls
= isl_local_space_substitute(aff
->ls
, type
, pos
, subs
);
5193 return isl_aff_free(aff
);
5195 aff
->v
= isl_vec_cow(aff
->v
);
5197 return isl_aff_free(aff
);
5199 pos
+= isl_local_space_offset(aff
->ls
, type
);
5202 isl_seq_substitute(aff
->v
->el
, pos
, subs
->v
->el
,
5203 aff
->v
->size
, subs
->v
->size
, v
);
5209 /* Plug in "subs" for dimension "type", "pos" in each of the affine
5210 * expressions in "maff".
5212 __isl_give isl_multi_aff
*isl_multi_aff_substitute(
5213 __isl_take isl_multi_aff
*maff
, enum isl_dim_type type
, unsigned pos
,
5214 __isl_keep isl_aff
*subs
)
5218 maff
= isl_multi_aff_cow(maff
);
5220 return isl_multi_aff_free(maff
);
5222 if (type
== isl_dim_in
)
5225 for (i
= 0; i
< maff
->n
; ++i
) {
5226 maff
->p
[i
] = isl_aff_substitute(maff
->p
[i
], type
, pos
, subs
);
5228 return isl_multi_aff_free(maff
);
5234 /* Plug in "subs" for dimension "type", "pos" of "pma".
5236 * pma is of the form
5240 * while subs is of the form
5242 * v' = B_j(v) -> S_j
5244 * Each pair i,j such that C_ij = A_i \cap B_i is non-empty
5245 * has a contribution in the result, in particular
5247 * C_ij(S_j) -> M_i(S_j)
5249 * Note that plugging in S_j in C_ij may also result in an empty set
5250 * and this contribution should simply be discarded.
5252 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_substitute(
5253 __isl_take isl_pw_multi_aff
*pma
, enum isl_dim_type type
, unsigned pos
,
5254 __isl_keep isl_pw_aff
*subs
)
5257 isl_pw_multi_aff
*res
;
5260 return isl_pw_multi_aff_free(pma
);
5262 n
= pma
->n
* subs
->n
;
5263 res
= isl_pw_multi_aff_alloc_size(isl_space_copy(pma
->dim
), n
);
5265 for (i
= 0; i
< pma
->n
; ++i
) {
5266 for (j
= 0; j
< subs
->n
; ++j
) {
5268 isl_multi_aff
*res_ij
;
5271 common
= isl_set_intersect(
5272 isl_set_copy(pma
->p
[i
].set
),
5273 isl_set_copy(subs
->p
[j
].set
));
5274 common
= isl_set_substitute(common
,
5275 type
, pos
, subs
->p
[j
].aff
);
5276 empty
= isl_set_plain_is_empty(common
);
5277 if (empty
< 0 || empty
) {
5278 isl_set_free(common
);
5284 res_ij
= isl_multi_aff_substitute(
5285 isl_multi_aff_copy(pma
->p
[i
].maff
),
5286 type
, pos
, subs
->p
[j
].aff
);
5288 res
= isl_pw_multi_aff_add_piece(res
, common
, res_ij
);
5292 isl_pw_multi_aff_free(pma
);
5295 isl_pw_multi_aff_free(pma
);
5296 isl_pw_multi_aff_free(res
);
5300 /* Compute the preimage of a range of dimensions in the affine expression "src"
5301 * under "ma" and put the result in "dst". The number of dimensions in "src"
5302 * that precede the range is given by "n_before". The number of dimensions
5303 * in the range is given by the number of output dimensions of "ma".
5304 * The number of dimensions that follow the range is given by "n_after".
5305 * If "has_denom" is set (to one),
5306 * then "src" and "dst" have an extra initial denominator.
5307 * "n_div_ma" is the number of existentials in "ma"
5308 * "n_div_bset" is the number of existentials in "src"
5309 * The resulting "dst" (which is assumed to have been allocated by
5310 * the caller) contains coefficients for both sets of existentials,
5311 * first those in "ma" and then those in "src".
5312 * f, c1, c2 and g are temporary objects that have been initialized
5315 * Let src represent the expression
5317 * (a(p) + f_u u + b v + f_w w + c(divs))/d
5319 * and let ma represent the expressions
5321 * v_i = (r_i(p) + s_i(y) + t_i(divs'))/m_i
5323 * We start out with the following expression for dst:
5325 * (a(p) + f_u u + 0 y + f_w w + 0 divs' + c(divs) + f \sum_i b_i v_i)/d
5327 * with the multiplication factor f initially equal to 1
5328 * and f \sum_i b_i v_i kept separately.
5329 * For each x_i that we substitute, we multiply the numerator
5330 * (and denominator) of dst by c_1 = m_i and add the numerator
5331 * of the x_i expression multiplied by c_2 = f b_i,
5332 * after removing the common factors of c_1 and c_2.
5333 * The multiplication factor f also needs to be multiplied by c_1
5334 * for the next x_j, j > i.
5336 void isl_seq_preimage(isl_int
*dst
, isl_int
*src
,
5337 __isl_keep isl_multi_aff
*ma
, int n_before
, int n_after
,
5338 int n_div_ma
, int n_div_bmap
,
5339 isl_int f
, isl_int c1
, isl_int c2
, isl_int g
, int has_denom
)
5342 int n_param
, n_in
, n_out
;
5345 n_param
= isl_multi_aff_dim(ma
, isl_dim_param
);
5346 n_in
= isl_multi_aff_dim(ma
, isl_dim_in
);
5347 n_out
= isl_multi_aff_dim(ma
, isl_dim_out
);
5349 isl_seq_cpy(dst
, src
, has_denom
+ 1 + n_param
+ n_before
);
5350 o_dst
= o_src
= has_denom
+ 1 + n_param
+ n_before
;
5351 isl_seq_clr(dst
+ o_dst
, n_in
);
5354 isl_seq_cpy(dst
+ o_dst
, src
+ o_src
, n_after
);
5357 isl_seq_clr(dst
+ o_dst
, n_div_ma
);
5359 isl_seq_cpy(dst
+ o_dst
, src
+ o_src
, n_div_bmap
);
5361 isl_int_set_si(f
, 1);
5363 for (i
= 0; i
< n_out
; ++i
) {
5364 int offset
= has_denom
+ 1 + n_param
+ n_before
+ i
;
5366 if (isl_int_is_zero(src
[offset
]))
5368 isl_int_set(c1
, ma
->p
[i
]->v
->el
[0]);
5369 isl_int_mul(c2
, f
, src
[offset
]);
5370 isl_int_gcd(g
, c1
, c2
);
5371 isl_int_divexact(c1
, c1
, g
);
5372 isl_int_divexact(c2
, c2
, g
);
5374 isl_int_mul(f
, f
, c1
);
5377 isl_seq_combine(dst
+ o_dst
, c1
, dst
+ o_dst
,
5378 c2
, ma
->p
[i
]->v
->el
+ o_src
, 1 + n_param
);
5379 o_dst
+= 1 + n_param
;
5380 o_src
+= 1 + n_param
;
5381 isl_seq_scale(dst
+ o_dst
, dst
+ o_dst
, c1
, n_before
);
5383 isl_seq_combine(dst
+ o_dst
, c1
, dst
+ o_dst
,
5384 c2
, ma
->p
[i
]->v
->el
+ o_src
, n_in
);
5387 isl_seq_scale(dst
+ o_dst
, dst
+ o_dst
, c1
, n_after
);
5389 isl_seq_combine(dst
+ o_dst
, c1
, dst
+ o_dst
,
5390 c2
, ma
->p
[i
]->v
->el
+ o_src
, n_div_ma
);
5393 isl_seq_scale(dst
+ o_dst
, dst
+ o_dst
, c1
, n_div_bmap
);
5395 isl_int_mul(dst
[0], dst
[0], c1
);
5399 /* Compute the pullback of "aff" by the function represented by "ma".
5400 * In other words, plug in "ma" in "aff". The result is an affine expression
5401 * defined over the domain space of "ma".
5403 * If "aff" is represented by
5405 * (a(p) + b x + c(divs))/d
5407 * and ma is represented by
5409 * x = D(p) + F(y) + G(divs')
5411 * then the result is
5413 * (a(p) + b D(p) + b F(y) + b G(divs') + c(divs))/d
5415 * The divs in the local space of the input are similarly adjusted
5416 * through a call to isl_local_space_preimage_multi_aff.
5418 __isl_give isl_aff
*isl_aff_pullback_multi_aff(__isl_take isl_aff
*aff
,
5419 __isl_take isl_multi_aff
*ma
)
5421 isl_aff
*res
= NULL
;
5422 isl_local_space
*ls
;
5423 int n_div_aff
, n_div_ma
;
5424 isl_int f
, c1
, c2
, g
;
5426 ma
= isl_multi_aff_align_divs(ma
);
5430 n_div_aff
= isl_aff_dim(aff
, isl_dim_div
);
5431 n_div_ma
= ma
->n
? isl_aff_dim(ma
->p
[0], isl_dim_div
) : 0;
5433 ls
= isl_aff_get_domain_local_space(aff
);
5434 ls
= isl_local_space_preimage_multi_aff(ls
, isl_multi_aff_copy(ma
));
5435 res
= isl_aff_alloc(ls
);
5444 isl_seq_preimage(res
->v
->el
, aff
->v
->el
, ma
, 0, 0, n_div_ma
, n_div_aff
,
5453 isl_multi_aff_free(ma
);
5454 res
= isl_aff_normalize(res
);
5458 isl_multi_aff_free(ma
);
5463 /* Compute the pullback of "aff1" by the function represented by "aff2".
5464 * In other words, plug in "aff2" in "aff1". The result is an affine expression
5465 * defined over the domain space of "aff1".
5467 * The domain of "aff1" should match the range of "aff2", which means
5468 * that it should be single-dimensional.
5470 __isl_give isl_aff
*isl_aff_pullback_aff(__isl_take isl_aff
*aff1
,
5471 __isl_take isl_aff
*aff2
)
5475 ma
= isl_multi_aff_from_aff(aff2
);
5476 return isl_aff_pullback_multi_aff(aff1
, ma
);
5479 /* Compute the pullback of "ma1" by the function represented by "ma2".
5480 * In other words, plug in "ma2" in "ma1".
5482 * The parameters of "ma1" and "ma2" are assumed to have been aligned.
5484 static __isl_give isl_multi_aff
*isl_multi_aff_pullback_multi_aff_aligned(
5485 __isl_take isl_multi_aff
*ma1
, __isl_take isl_multi_aff
*ma2
)
5488 isl_space
*space
= NULL
;
5490 ma2
= isl_multi_aff_align_divs(ma2
);
5491 ma1
= isl_multi_aff_cow(ma1
);
5495 space
= isl_space_join(isl_multi_aff_get_space(ma2
),
5496 isl_multi_aff_get_space(ma1
));
5498 for (i
= 0; i
< ma1
->n
; ++i
) {
5499 ma1
->p
[i
] = isl_aff_pullback_multi_aff(ma1
->p
[i
],
5500 isl_multi_aff_copy(ma2
));
5505 ma1
= isl_multi_aff_reset_space(ma1
, space
);
5506 isl_multi_aff_free(ma2
);
5509 isl_space_free(space
);
5510 isl_multi_aff_free(ma2
);
5511 isl_multi_aff_free(ma1
);
5515 /* Compute the pullback of "ma1" by the function represented by "ma2".
5516 * In other words, plug in "ma2" in "ma1".
5518 __isl_give isl_multi_aff
*isl_multi_aff_pullback_multi_aff(
5519 __isl_take isl_multi_aff
*ma1
, __isl_take isl_multi_aff
*ma2
)
5521 return isl_multi_aff_align_params_multi_multi_and(ma1
, ma2
,
5522 &isl_multi_aff_pullback_multi_aff_aligned
);
5525 /* Extend the local space of "dst" to include the divs
5526 * in the local space of "src".
5528 * If "src" does not have any divs or if the local spaces of "dst" and
5529 * "src" are the same, then no extension is required.
5531 __isl_give isl_aff
*isl_aff_align_divs(__isl_take isl_aff
*dst
,
5532 __isl_keep isl_aff
*src
)
5535 int src_n_div
, dst_n_div
;
5542 return isl_aff_free(dst
);
5544 ctx
= isl_aff_get_ctx(src
);
5545 equal
= isl_local_space_has_equal_space(src
->ls
, dst
->ls
);
5547 return isl_aff_free(dst
);
5549 isl_die(ctx
, isl_error_invalid
,
5550 "spaces don't match", goto error
);
5552 src_n_div
= isl_local_space_dim(src
->ls
, isl_dim_div
);
5555 equal
= isl_local_space_is_equal(src
->ls
, dst
->ls
);
5557 return isl_aff_free(dst
);
5561 dst_n_div
= isl_local_space_dim(dst
->ls
, isl_dim_div
);
5562 exp1
= isl_alloc_array(ctx
, int, src_n_div
);
5563 exp2
= isl_alloc_array(ctx
, int, dst_n_div
);
5564 if (!exp1
|| (dst_n_div
&& !exp2
))
5567 div
= isl_merge_divs(src
->ls
->div
, dst
->ls
->div
, exp1
, exp2
);
5568 dst
= isl_aff_expand_divs(dst
, div
, exp2
);
5576 return isl_aff_free(dst
);
5579 /* Adjust the local spaces of the affine expressions in "maff"
5580 * such that they all have the save divs.
5582 __isl_give isl_multi_aff
*isl_multi_aff_align_divs(
5583 __isl_take isl_multi_aff
*maff
)
5591 maff
= isl_multi_aff_cow(maff
);
5595 for (i
= 1; i
< maff
->n
; ++i
)
5596 maff
->p
[0] = isl_aff_align_divs(maff
->p
[0], maff
->p
[i
]);
5597 for (i
= 1; i
< maff
->n
; ++i
) {
5598 maff
->p
[i
] = isl_aff_align_divs(maff
->p
[i
], maff
->p
[0]);
5600 return isl_multi_aff_free(maff
);
5606 __isl_give isl_aff
*isl_aff_lift(__isl_take isl_aff
*aff
)
5608 aff
= isl_aff_cow(aff
);
5612 aff
->ls
= isl_local_space_lift(aff
->ls
);
5614 return isl_aff_free(aff
);
5619 /* Lift "maff" to a space with extra dimensions such that the result
5620 * has no more existentially quantified variables.
5621 * If "ls" is not NULL, then *ls is assigned the local space that lies
5622 * at the basis of the lifting applied to "maff".
5624 __isl_give isl_multi_aff
*isl_multi_aff_lift(__isl_take isl_multi_aff
*maff
,
5625 __isl_give isl_local_space
**ls
)
5639 isl_space
*space
= isl_multi_aff_get_domain_space(maff
);
5640 *ls
= isl_local_space_from_space(space
);
5642 return isl_multi_aff_free(maff
);
5647 maff
= isl_multi_aff_cow(maff
);
5648 maff
= isl_multi_aff_align_divs(maff
);
5652 n_div
= isl_aff_dim(maff
->p
[0], isl_dim_div
);
5653 space
= isl_multi_aff_get_space(maff
);
5654 space
= isl_space_lift(isl_space_domain(space
), n_div
);
5655 space
= isl_space_extend_domain_with_range(space
,
5656 isl_multi_aff_get_space(maff
));
5658 return isl_multi_aff_free(maff
);
5659 isl_space_free(maff
->space
);
5660 maff
->space
= space
;
5663 *ls
= isl_aff_get_domain_local_space(maff
->p
[0]);
5665 return isl_multi_aff_free(maff
);
5668 for (i
= 0; i
< maff
->n
; ++i
) {
5669 maff
->p
[i
] = isl_aff_lift(maff
->p
[i
]);
5677 isl_local_space_free(*ls
);
5678 return isl_multi_aff_free(maff
);
5682 /* Extract an isl_pw_aff corresponding to output dimension "pos" of "pma".
5684 __isl_give isl_pw_aff
*isl_pw_multi_aff_get_pw_aff(
5685 __isl_keep isl_pw_multi_aff
*pma
, int pos
)
5695 n_out
= isl_pw_multi_aff_dim(pma
, isl_dim_out
);
5696 if (pos
< 0 || pos
>= n_out
)
5697 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
5698 "index out of bounds", return NULL
);
5700 space
= isl_pw_multi_aff_get_space(pma
);
5701 space
= isl_space_drop_dims(space
, isl_dim_out
,
5702 pos
+ 1, n_out
- pos
- 1);
5703 space
= isl_space_drop_dims(space
, isl_dim_out
, 0, pos
);
5705 pa
= isl_pw_aff_alloc_size(space
, pma
->n
);
5706 for (i
= 0; i
< pma
->n
; ++i
) {
5708 aff
= isl_multi_aff_get_aff(pma
->p
[i
].maff
, pos
);
5709 pa
= isl_pw_aff_add_piece(pa
, isl_set_copy(pma
->p
[i
].set
), aff
);
5715 /* Return an isl_pw_multi_aff with the given "set" as domain and
5716 * an unnamed zero-dimensional range.
5718 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_from_domain(
5719 __isl_take isl_set
*set
)
5724 space
= isl_set_get_space(set
);
5725 space
= isl_space_from_domain(space
);
5726 ma
= isl_multi_aff_zero(space
);
5727 return isl_pw_multi_aff_alloc(set
, ma
);
5730 /* Add an isl_pw_multi_aff with the given "set" as domain and
5731 * an unnamed zero-dimensional range to *user.
5733 static isl_stat
add_pw_multi_aff_from_domain(__isl_take isl_set
*set
,
5736 isl_union_pw_multi_aff
**upma
= user
;
5737 isl_pw_multi_aff
*pma
;
5739 pma
= isl_pw_multi_aff_from_domain(set
);
5740 *upma
= isl_union_pw_multi_aff_add_pw_multi_aff(*upma
, pma
);
5745 /* Return an isl_union_pw_multi_aff with the given "uset" as domain and
5746 * an unnamed zero-dimensional range.
5748 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_from_domain(
5749 __isl_take isl_union_set
*uset
)
5752 isl_union_pw_multi_aff
*upma
;
5757 space
= isl_union_set_get_space(uset
);
5758 upma
= isl_union_pw_multi_aff_empty(space
);
5760 if (isl_union_set_foreach_set(uset
,
5761 &add_pw_multi_aff_from_domain
, &upma
) < 0)
5764 isl_union_set_free(uset
);
5767 isl_union_set_free(uset
);
5768 isl_union_pw_multi_aff_free(upma
);
5772 /* Convert "pma" to an isl_map and add it to *umap.
5774 static isl_stat
map_from_pw_multi_aff(__isl_take isl_pw_multi_aff
*pma
,
5777 isl_union_map
**umap
= user
;
5780 map
= isl_map_from_pw_multi_aff(pma
);
5781 *umap
= isl_union_map_add_map(*umap
, map
);
5786 /* Construct a union map mapping the domain of the union
5787 * piecewise multi-affine expression to its range, with each dimension
5788 * in the range equated to the corresponding affine expression on its cell.
5790 __isl_give isl_union_map
*isl_union_map_from_union_pw_multi_aff(
5791 __isl_take isl_union_pw_multi_aff
*upma
)
5794 isl_union_map
*umap
;
5799 space
= isl_union_pw_multi_aff_get_space(upma
);
5800 umap
= isl_union_map_empty(space
);
5802 if (isl_union_pw_multi_aff_foreach_pw_multi_aff(upma
,
5803 &map_from_pw_multi_aff
, &umap
) < 0)
5806 isl_union_pw_multi_aff_free(upma
);
5809 isl_union_pw_multi_aff_free(upma
);
5810 isl_union_map_free(umap
);
5814 /* Local data for bin_entry and the callback "fn".
5816 struct isl_union_pw_multi_aff_bin_data
{
5817 isl_union_pw_multi_aff
*upma2
;
5818 isl_union_pw_multi_aff
*res
;
5819 isl_pw_multi_aff
*pma
;
5820 isl_stat (*fn
)(__isl_take isl_pw_multi_aff
*pma
, void *user
);
5823 /* Given an isl_pw_multi_aff from upma1, store it in data->pma
5824 * and call data->fn for each isl_pw_multi_aff in data->upma2.
5826 static isl_stat
bin_entry(__isl_take isl_pw_multi_aff
*pma
, void *user
)
5828 struct isl_union_pw_multi_aff_bin_data
*data
= user
;
5832 r
= isl_union_pw_multi_aff_foreach_pw_multi_aff(data
->upma2
,
5834 isl_pw_multi_aff_free(pma
);
5839 /* Call "fn" on each pair of isl_pw_multi_affs in "upma1" and "upma2".
5840 * The isl_pw_multi_aff from upma1 is stored in data->pma (where data is
5841 * passed as user field) and the isl_pw_multi_aff from upma2 is available
5842 * as *entry. The callback should adjust data->res if desired.
5844 static __isl_give isl_union_pw_multi_aff
*bin_op(
5845 __isl_take isl_union_pw_multi_aff
*upma1
,
5846 __isl_take isl_union_pw_multi_aff
*upma2
,
5847 isl_stat (*fn
)(__isl_take isl_pw_multi_aff
*pma
, void *user
))
5850 struct isl_union_pw_multi_aff_bin_data data
= { NULL
, NULL
, NULL
, fn
};
5852 space
= isl_union_pw_multi_aff_get_space(upma2
);
5853 upma1
= isl_union_pw_multi_aff_align_params(upma1
, space
);
5854 space
= isl_union_pw_multi_aff_get_space(upma1
);
5855 upma2
= isl_union_pw_multi_aff_align_params(upma2
, space
);
5857 if (!upma1
|| !upma2
)
5861 data
.res
= isl_union_pw_multi_aff_alloc_same_size(upma1
);
5862 if (isl_union_pw_multi_aff_foreach_pw_multi_aff(upma1
,
5863 &bin_entry
, &data
) < 0)
5866 isl_union_pw_multi_aff_free(upma1
);
5867 isl_union_pw_multi_aff_free(upma2
);
5870 isl_union_pw_multi_aff_free(upma1
);
5871 isl_union_pw_multi_aff_free(upma2
);
5872 isl_union_pw_multi_aff_free(data
.res
);
5876 /* Given two aligned isl_pw_multi_affs A -> B and C -> D,
5877 * construct an isl_pw_multi_aff (A * C) -> [B -> D].
5879 static __isl_give isl_pw_multi_aff
*pw_multi_aff_range_product(
5880 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
5884 space
= isl_space_range_product(isl_pw_multi_aff_get_space(pma1
),
5885 isl_pw_multi_aff_get_space(pma2
));
5886 return isl_pw_multi_aff_on_shared_domain_in(pma1
, pma2
, space
,
5887 &isl_multi_aff_range_product
);
5890 /* Given two isl_pw_multi_affs A -> B and C -> D,
5891 * construct an isl_pw_multi_aff (A * C) -> [B -> D].
5893 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_range_product(
5894 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
5896 return isl_pw_multi_aff_align_params_pw_pw_and(pma1
, pma2
,
5897 &pw_multi_aff_range_product
);
5900 /* Given two aligned isl_pw_multi_affs A -> B and C -> D,
5901 * construct an isl_pw_multi_aff (A * C) -> (B, D).
5903 static __isl_give isl_pw_multi_aff
*pw_multi_aff_flat_range_product(
5904 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
5908 space
= isl_space_range_product(isl_pw_multi_aff_get_space(pma1
),
5909 isl_pw_multi_aff_get_space(pma2
));
5910 space
= isl_space_flatten_range(space
);
5911 return isl_pw_multi_aff_on_shared_domain_in(pma1
, pma2
, space
,
5912 &isl_multi_aff_flat_range_product
);
5915 /* Given two isl_pw_multi_affs A -> B and C -> D,
5916 * construct an isl_pw_multi_aff (A * C) -> (B, D).
5918 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_flat_range_product(
5919 __isl_take isl_pw_multi_aff
*pma1
, __isl_take isl_pw_multi_aff
*pma2
)
5921 return isl_pw_multi_aff_align_params_pw_pw_and(pma1
, pma2
,
5922 &pw_multi_aff_flat_range_product
);
5925 /* If data->pma and "pma2" have the same domain space, then compute
5926 * their flat range product and the result to data->res.
5928 static isl_stat
flat_range_product_entry(__isl_take isl_pw_multi_aff
*pma2
,
5931 struct isl_union_pw_multi_aff_bin_data
*data
= user
;
5933 if (!isl_space_tuple_is_equal(data
->pma
->dim
, isl_dim_in
,
5934 pma2
->dim
, isl_dim_in
)) {
5935 isl_pw_multi_aff_free(pma2
);
5939 pma2
= isl_pw_multi_aff_flat_range_product(
5940 isl_pw_multi_aff_copy(data
->pma
), pma2
);
5942 data
->res
= isl_union_pw_multi_aff_add_pw_multi_aff(data
->res
, pma2
);
5947 /* Given two isl_union_pw_multi_affs A -> B and C -> D,
5948 * construct an isl_union_pw_multi_aff (A * C) -> (B, D).
5950 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_flat_range_product(
5951 __isl_take isl_union_pw_multi_aff
*upma1
,
5952 __isl_take isl_union_pw_multi_aff
*upma2
)
5954 return bin_op(upma1
, upma2
, &flat_range_product_entry
);
5957 /* Replace the affine expressions at position "pos" in "pma" by "pa".
5958 * The parameters are assumed to have been aligned.
5960 * The implementation essentially performs an isl_pw_*_on_shared_domain,
5961 * except that it works on two different isl_pw_* types.
5963 static __isl_give isl_pw_multi_aff
*pw_multi_aff_set_pw_aff(
5964 __isl_take isl_pw_multi_aff
*pma
, unsigned pos
,
5965 __isl_take isl_pw_aff
*pa
)
5968 isl_pw_multi_aff
*res
= NULL
;
5973 if (!isl_space_tuple_is_equal(pma
->dim
, isl_dim_in
,
5974 pa
->dim
, isl_dim_in
))
5975 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
5976 "domains don't match", goto error
);
5977 if (pos
>= isl_pw_multi_aff_dim(pma
, isl_dim_out
))
5978 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
5979 "index out of bounds", goto error
);
5982 res
= isl_pw_multi_aff_alloc_size(isl_pw_multi_aff_get_space(pma
), n
);
5984 for (i
= 0; i
< pma
->n
; ++i
) {
5985 for (j
= 0; j
< pa
->n
; ++j
) {
5987 isl_multi_aff
*res_ij
;
5990 common
= isl_set_intersect(isl_set_copy(pma
->p
[i
].set
),
5991 isl_set_copy(pa
->p
[j
].set
));
5992 empty
= isl_set_plain_is_empty(common
);
5993 if (empty
< 0 || empty
) {
5994 isl_set_free(common
);
6000 res_ij
= isl_multi_aff_set_aff(
6001 isl_multi_aff_copy(pma
->p
[i
].maff
), pos
,
6002 isl_aff_copy(pa
->p
[j
].aff
));
6003 res_ij
= isl_multi_aff_gist(res_ij
,
6004 isl_set_copy(common
));
6006 res
= isl_pw_multi_aff_add_piece(res
, common
, res_ij
);
6010 isl_pw_multi_aff_free(pma
);
6011 isl_pw_aff_free(pa
);
6014 isl_pw_multi_aff_free(pma
);
6015 isl_pw_aff_free(pa
);
6016 return isl_pw_multi_aff_free(res
);
6019 /* Replace the affine expressions at position "pos" in "pma" by "pa".
6021 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_set_pw_aff(
6022 __isl_take isl_pw_multi_aff
*pma
, unsigned pos
,
6023 __isl_take isl_pw_aff
*pa
)
6027 if (isl_space_match(pma
->dim
, isl_dim_param
, pa
->dim
, isl_dim_param
))
6028 return pw_multi_aff_set_pw_aff(pma
, pos
, pa
);
6029 if (!isl_space_has_named_params(pma
->dim
) ||
6030 !isl_space_has_named_params(pa
->dim
))
6031 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
6032 "unaligned unnamed parameters", goto error
);
6033 pma
= isl_pw_multi_aff_align_params(pma
, isl_pw_aff_get_space(pa
));
6034 pa
= isl_pw_aff_align_params(pa
, isl_pw_multi_aff_get_space(pma
));
6035 return pw_multi_aff_set_pw_aff(pma
, pos
, pa
);
6037 isl_pw_multi_aff_free(pma
);
6038 isl_pw_aff_free(pa
);
6042 /* Do the parameters of "pa" match those of "space"?
6044 int isl_pw_aff_matching_params(__isl_keep isl_pw_aff
*pa
,
6045 __isl_keep isl_space
*space
)
6047 isl_space
*pa_space
;
6053 pa_space
= isl_pw_aff_get_space(pa
);
6055 match
= isl_space_match(space
, isl_dim_param
, pa_space
, isl_dim_param
);
6057 isl_space_free(pa_space
);
6061 /* Check that the domain space of "pa" matches "space".
6063 * Return 0 on success and -1 on error.
6065 int isl_pw_aff_check_match_domain_space(__isl_keep isl_pw_aff
*pa
,
6066 __isl_keep isl_space
*space
)
6068 isl_space
*pa_space
;
6074 pa_space
= isl_pw_aff_get_space(pa
);
6076 match
= isl_space_match(space
, isl_dim_param
, pa_space
, isl_dim_param
);
6080 isl_die(isl_pw_aff_get_ctx(pa
), isl_error_invalid
,
6081 "parameters don't match", goto error
);
6082 match
= isl_space_tuple_is_equal(space
, isl_dim_in
,
6083 pa_space
, isl_dim_in
);
6087 isl_die(isl_pw_aff_get_ctx(pa
), isl_error_invalid
,
6088 "domains don't match", goto error
);
6089 isl_space_free(pa_space
);
6092 isl_space_free(pa_space
);
6101 #include <isl_multi_templ.c>
6102 #include <isl_multi_apply_set.c>
6103 #include <isl_multi_coalesce.c>
6104 #include <isl_multi_gist.c>
6105 #include <isl_multi_hash.c>
6106 #include <isl_multi_intersect.c>
6108 /* Scale the elements of "pma" by the corresponding elements of "mv".
6110 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_scale_multi_val(
6111 __isl_take isl_pw_multi_aff
*pma
, __isl_take isl_multi_val
*mv
)
6115 pma
= isl_pw_multi_aff_cow(pma
);
6118 if (!isl_space_tuple_is_equal(pma
->dim
, isl_dim_out
,
6119 mv
->space
, isl_dim_set
))
6120 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
6121 "spaces don't match", goto error
);
6122 if (!isl_space_match(pma
->dim
, isl_dim_param
,
6123 mv
->space
, isl_dim_param
)) {
6124 pma
= isl_pw_multi_aff_align_params(pma
,
6125 isl_multi_val_get_space(mv
));
6126 mv
= isl_multi_val_align_params(mv
,
6127 isl_pw_multi_aff_get_space(pma
));
6132 for (i
= 0; i
< pma
->n
; ++i
) {
6133 pma
->p
[i
].maff
= isl_multi_aff_scale_multi_val(pma
->p
[i
].maff
,
6134 isl_multi_val_copy(mv
));
6135 if (!pma
->p
[i
].maff
)
6139 isl_multi_val_free(mv
);
6142 isl_multi_val_free(mv
);
6143 isl_pw_multi_aff_free(pma
);
6147 /* This function is called for each entry of an isl_union_pw_multi_aff.
6148 * If the space of the entry matches that of data->mv,
6149 * then apply isl_pw_multi_aff_scale_multi_val and return the result.
6150 * Otherwise, return an empty isl_pw_multi_aff.
6152 static __isl_give isl_pw_multi_aff
*union_pw_multi_aff_scale_multi_val_entry(
6153 __isl_take isl_pw_multi_aff
*pma
, void *user
)
6155 isl_multi_val
*mv
= user
;
6159 if (!isl_space_tuple_is_equal(pma
->dim
, isl_dim_out
,
6160 mv
->space
, isl_dim_set
)) {
6161 isl_space
*space
= isl_pw_multi_aff_get_space(pma
);
6162 isl_pw_multi_aff_free(pma
);
6163 return isl_pw_multi_aff_empty(space
);
6166 return isl_pw_multi_aff_scale_multi_val(pma
, isl_multi_val_copy(mv
));
6169 /* Scale the elements of "upma" by the corresponding elements of "mv",
6170 * for those entries that match the space of "mv".
6172 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_scale_multi_val(
6173 __isl_take isl_union_pw_multi_aff
*upma
, __isl_take isl_multi_val
*mv
)
6175 upma
= isl_union_pw_multi_aff_align_params(upma
,
6176 isl_multi_val_get_space(mv
));
6177 mv
= isl_multi_val_align_params(mv
,
6178 isl_union_pw_multi_aff_get_space(upma
));
6182 return isl_union_pw_multi_aff_transform(upma
,
6183 &union_pw_multi_aff_scale_multi_val_entry
, mv
);
6185 isl_multi_val_free(mv
);
6188 isl_multi_val_free(mv
);
6189 isl_union_pw_multi_aff_free(upma
);
6193 /* Construct and return a piecewise multi affine expression
6194 * in the given space with value zero in each of the output dimensions and
6195 * a universe domain.
6197 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_zero(__isl_take isl_space
*space
)
6199 return isl_pw_multi_aff_from_multi_aff(isl_multi_aff_zero(space
));
6202 /* Construct and return a piecewise multi affine expression
6203 * that is equal to the given piecewise affine expression.
6205 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_from_pw_aff(
6206 __isl_take isl_pw_aff
*pa
)
6210 isl_pw_multi_aff
*pma
;
6215 space
= isl_pw_aff_get_space(pa
);
6216 pma
= isl_pw_multi_aff_alloc_size(space
, pa
->n
);
6218 for (i
= 0; i
< pa
->n
; ++i
) {
6222 set
= isl_set_copy(pa
->p
[i
].set
);
6223 ma
= isl_multi_aff_from_aff(isl_aff_copy(pa
->p
[i
].aff
));
6224 pma
= isl_pw_multi_aff_add_piece(pma
, set
, ma
);
6227 isl_pw_aff_free(pa
);
6231 /* Construct a set or map mapping the shared (parameter) domain
6232 * of the piecewise affine expressions to the range of "mpa"
6233 * with each dimension in the range equated to the
6234 * corresponding piecewise affine expression.
6236 static __isl_give isl_map
*map_from_multi_pw_aff(
6237 __isl_take isl_multi_pw_aff
*mpa
)
6246 if (isl_space_dim(mpa
->space
, isl_dim_out
) != mpa
->n
)
6247 isl_die(isl_multi_pw_aff_get_ctx(mpa
), isl_error_internal
,
6248 "invalid space", goto error
);
6250 space
= isl_multi_pw_aff_get_domain_space(mpa
);
6251 map
= isl_map_universe(isl_space_from_domain(space
));
6253 for (i
= 0; i
< mpa
->n
; ++i
) {
6257 pa
= isl_pw_aff_copy(mpa
->p
[i
]);
6258 map_i
= map_from_pw_aff(pa
);
6260 map
= isl_map_flat_range_product(map
, map_i
);
6263 map
= isl_map_reset_space(map
, isl_multi_pw_aff_get_space(mpa
));
6265 isl_multi_pw_aff_free(mpa
);
6268 isl_multi_pw_aff_free(mpa
);
6272 /* Construct a map mapping the shared domain
6273 * of the piecewise affine expressions to the range of "mpa"
6274 * with each dimension in the range equated to the
6275 * corresponding piecewise affine expression.
6277 __isl_give isl_map
*isl_map_from_multi_pw_aff(__isl_take isl_multi_pw_aff
*mpa
)
6281 if (isl_space_is_set(mpa
->space
))
6282 isl_die(isl_multi_pw_aff_get_ctx(mpa
), isl_error_internal
,
6283 "space of input is not a map", goto error
);
6285 return map_from_multi_pw_aff(mpa
);
6287 isl_multi_pw_aff_free(mpa
);
6291 /* Construct a set mapping the shared parameter domain
6292 * of the piecewise affine expressions to the space of "mpa"
6293 * with each dimension in the range equated to the
6294 * corresponding piecewise affine expression.
6296 __isl_give isl_set
*isl_set_from_multi_pw_aff(__isl_take isl_multi_pw_aff
*mpa
)
6300 if (!isl_space_is_set(mpa
->space
))
6301 isl_die(isl_multi_pw_aff_get_ctx(mpa
), isl_error_internal
,
6302 "space of input is not a set", goto error
);
6304 return map_from_multi_pw_aff(mpa
);
6306 isl_multi_pw_aff_free(mpa
);
6310 /* Construct and return a piecewise multi affine expression
6311 * that is equal to the given multi piecewise affine expression
6312 * on the shared domain of the piecewise affine expressions.
6314 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_from_multi_pw_aff(
6315 __isl_take isl_multi_pw_aff
*mpa
)
6320 isl_pw_multi_aff
*pma
;
6325 space
= isl_multi_pw_aff_get_space(mpa
);
6328 isl_multi_pw_aff_free(mpa
);
6329 return isl_pw_multi_aff_zero(space
);
6332 pa
= isl_multi_pw_aff_get_pw_aff(mpa
, 0);
6333 pma
= isl_pw_multi_aff_from_pw_aff(pa
);
6335 for (i
= 1; i
< mpa
->n
; ++i
) {
6336 isl_pw_multi_aff
*pma_i
;
6338 pa
= isl_multi_pw_aff_get_pw_aff(mpa
, i
);
6339 pma_i
= isl_pw_multi_aff_from_pw_aff(pa
);
6340 pma
= isl_pw_multi_aff_range_product(pma
, pma_i
);
6343 pma
= isl_pw_multi_aff_reset_space(pma
, space
);
6345 isl_multi_pw_aff_free(mpa
);
6349 /* Construct and return a multi piecewise affine expression
6350 * that is equal to the given multi affine expression.
6352 __isl_give isl_multi_pw_aff
*isl_multi_pw_aff_from_multi_aff(
6353 __isl_take isl_multi_aff
*ma
)
6356 isl_multi_pw_aff
*mpa
;
6361 n
= isl_multi_aff_dim(ma
, isl_dim_out
);
6362 mpa
= isl_multi_pw_aff_alloc(isl_multi_aff_get_space(ma
));
6364 for (i
= 0; i
< n
; ++i
) {
6367 pa
= isl_pw_aff_from_aff(isl_multi_aff_get_aff(ma
, i
));
6368 mpa
= isl_multi_pw_aff_set_pw_aff(mpa
, i
, pa
);
6371 isl_multi_aff_free(ma
);
6375 /* Construct and return a multi piecewise affine expression
6376 * that is equal to the given piecewise multi affine expression.
6378 __isl_give isl_multi_pw_aff
*isl_multi_pw_aff_from_pw_multi_aff(
6379 __isl_take isl_pw_multi_aff
*pma
)
6383 isl_multi_pw_aff
*mpa
;
6388 n
= isl_pw_multi_aff_dim(pma
, isl_dim_out
);
6389 space
= isl_pw_multi_aff_get_space(pma
);
6390 mpa
= isl_multi_pw_aff_alloc(space
);
6392 for (i
= 0; i
< n
; ++i
) {
6395 pa
= isl_pw_multi_aff_get_pw_aff(pma
, i
);
6396 mpa
= isl_multi_pw_aff_set_pw_aff(mpa
, i
, pa
);
6399 isl_pw_multi_aff_free(pma
);
6403 /* Do "pa1" and "pa2" represent the same function?
6405 * We first check if they are obviously equal.
6406 * If not, we convert them to maps and check if those are equal.
6408 * If "pa1" or "pa2" contain any NaNs, then they are considered
6409 * not to be the same. A NaN is not equal to anything, not even
6412 int isl_pw_aff_is_equal(__isl_keep isl_pw_aff
*pa1
, __isl_keep isl_pw_aff
*pa2
)
6416 isl_map
*map1
, *map2
;
6421 equal
= isl_pw_aff_plain_is_equal(pa1
, pa2
);
6422 if (equal
< 0 || equal
)
6424 has_nan
= isl_pw_aff_involves_nan(pa1
);
6425 if (has_nan
>= 0 && !has_nan
)
6426 has_nan
= isl_pw_aff_involves_nan(pa2
);
6432 map1
= map_from_pw_aff(isl_pw_aff_copy(pa1
));
6433 map2
= map_from_pw_aff(isl_pw_aff_copy(pa2
));
6434 equal
= isl_map_is_equal(map1
, map2
);
6441 /* Do "mpa1" and "mpa2" represent the same function?
6443 * Note that we cannot convert the entire isl_multi_pw_aff
6444 * to a map because the domains of the piecewise affine expressions
6445 * may not be the same.
6447 isl_bool
isl_multi_pw_aff_is_equal(__isl_keep isl_multi_pw_aff
*mpa1
,
6448 __isl_keep isl_multi_pw_aff
*mpa2
)
6454 return isl_bool_error
;
6456 if (!isl_space_match(mpa1
->space
, isl_dim_param
,
6457 mpa2
->space
, isl_dim_param
)) {
6458 if (!isl_space_has_named_params(mpa1
->space
))
6459 return isl_bool_false
;
6460 if (!isl_space_has_named_params(mpa2
->space
))
6461 return isl_bool_false
;
6462 mpa1
= isl_multi_pw_aff_copy(mpa1
);
6463 mpa2
= isl_multi_pw_aff_copy(mpa2
);
6464 mpa1
= isl_multi_pw_aff_align_params(mpa1
,
6465 isl_multi_pw_aff_get_space(mpa2
));
6466 mpa2
= isl_multi_pw_aff_align_params(mpa2
,
6467 isl_multi_pw_aff_get_space(mpa1
));
6468 equal
= isl_multi_pw_aff_is_equal(mpa1
, mpa2
);
6469 isl_multi_pw_aff_free(mpa1
);
6470 isl_multi_pw_aff_free(mpa2
);
6474 equal
= isl_space_is_equal(mpa1
->space
, mpa2
->space
);
6475 if (equal
< 0 || !equal
)
6478 for (i
= 0; i
< mpa1
->n
; ++i
) {
6479 equal
= isl_pw_aff_is_equal(mpa1
->p
[i
], mpa2
->p
[i
]);
6480 if (equal
< 0 || !equal
)
6484 return isl_bool_true
;
6487 /* Compute the pullback of "mpa" by the function represented by "ma".
6488 * In other words, plug in "ma" in "mpa".
6490 * The parameters of "mpa" and "ma" are assumed to have been aligned.
6492 static __isl_give isl_multi_pw_aff
*isl_multi_pw_aff_pullback_multi_aff_aligned(
6493 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_multi_aff
*ma
)
6496 isl_space
*space
= NULL
;
6498 mpa
= isl_multi_pw_aff_cow(mpa
);
6502 space
= isl_space_join(isl_multi_aff_get_space(ma
),
6503 isl_multi_pw_aff_get_space(mpa
));
6507 for (i
= 0; i
< mpa
->n
; ++i
) {
6508 mpa
->p
[i
] = isl_pw_aff_pullback_multi_aff(mpa
->p
[i
],
6509 isl_multi_aff_copy(ma
));
6514 isl_multi_aff_free(ma
);
6515 isl_space_free(mpa
->space
);
6519 isl_space_free(space
);
6520 isl_multi_pw_aff_free(mpa
);
6521 isl_multi_aff_free(ma
);
6525 /* Compute the pullback of "mpa" by the function represented by "ma".
6526 * In other words, plug in "ma" in "mpa".
6528 __isl_give isl_multi_pw_aff
*isl_multi_pw_aff_pullback_multi_aff(
6529 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_multi_aff
*ma
)
6533 if (isl_space_match(mpa
->space
, isl_dim_param
,
6534 ma
->space
, isl_dim_param
))
6535 return isl_multi_pw_aff_pullback_multi_aff_aligned(mpa
, ma
);
6536 mpa
= isl_multi_pw_aff_align_params(mpa
, isl_multi_aff_get_space(ma
));
6537 ma
= isl_multi_aff_align_params(ma
, isl_multi_pw_aff_get_space(mpa
));
6538 return isl_multi_pw_aff_pullback_multi_aff_aligned(mpa
, ma
);
6540 isl_multi_pw_aff_free(mpa
);
6541 isl_multi_aff_free(ma
);
6545 /* Compute the pullback of "mpa" by the function represented by "pma".
6546 * In other words, plug in "pma" in "mpa".
6548 * The parameters of "mpa" and "mpa" are assumed to have been aligned.
6550 static __isl_give isl_multi_pw_aff
*
6551 isl_multi_pw_aff_pullback_pw_multi_aff_aligned(
6552 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_pw_multi_aff
*pma
)
6555 isl_space
*space
= NULL
;
6557 mpa
= isl_multi_pw_aff_cow(mpa
);
6561 space
= isl_space_join(isl_pw_multi_aff_get_space(pma
),
6562 isl_multi_pw_aff_get_space(mpa
));
6564 for (i
= 0; i
< mpa
->n
; ++i
) {
6565 mpa
->p
[i
] = isl_pw_aff_pullback_pw_multi_aff_aligned(mpa
->p
[i
],
6566 isl_pw_multi_aff_copy(pma
));
6571 isl_pw_multi_aff_free(pma
);
6572 isl_space_free(mpa
->space
);
6576 isl_space_free(space
);
6577 isl_multi_pw_aff_free(mpa
);
6578 isl_pw_multi_aff_free(pma
);
6582 /* Compute the pullback of "mpa" by the function represented by "pma".
6583 * In other words, plug in "pma" in "mpa".
6585 __isl_give isl_multi_pw_aff
*isl_multi_pw_aff_pullback_pw_multi_aff(
6586 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_pw_multi_aff
*pma
)
6590 if (isl_space_match(mpa
->space
, isl_dim_param
, pma
->dim
, isl_dim_param
))
6591 return isl_multi_pw_aff_pullback_pw_multi_aff_aligned(mpa
, pma
);
6592 mpa
= isl_multi_pw_aff_align_params(mpa
,
6593 isl_pw_multi_aff_get_space(pma
));
6594 pma
= isl_pw_multi_aff_align_params(pma
,
6595 isl_multi_pw_aff_get_space(mpa
));
6596 return isl_multi_pw_aff_pullback_pw_multi_aff_aligned(mpa
, pma
);
6598 isl_multi_pw_aff_free(mpa
);
6599 isl_pw_multi_aff_free(pma
);
6603 /* Apply "aff" to "mpa". The range of "mpa" needs to be compatible
6604 * with the domain of "aff". The domain of the result is the same
6606 * "mpa" and "aff" are assumed to have been aligned.
6608 * We first extract the parametric constant from "aff", defined
6609 * over the correct domain.
6610 * Then we add the appropriate combinations of the members of "mpa".
6611 * Finally, we add the integer divisions through recursive calls.
6613 static __isl_give isl_pw_aff
*isl_multi_pw_aff_apply_aff_aligned(
6614 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_aff
*aff
)
6622 n_in
= isl_aff_dim(aff
, isl_dim_in
);
6623 n_div
= isl_aff_dim(aff
, isl_dim_div
);
6625 space
= isl_space_domain(isl_multi_pw_aff_get_space(mpa
));
6626 tmp
= isl_aff_copy(aff
);
6627 tmp
= isl_aff_drop_dims(tmp
, isl_dim_div
, 0, n_div
);
6628 tmp
= isl_aff_drop_dims(tmp
, isl_dim_in
, 0, n_in
);
6629 tmp
= isl_aff_add_dims(tmp
, isl_dim_in
,
6630 isl_space_dim(space
, isl_dim_set
));
6631 tmp
= isl_aff_reset_domain_space(tmp
, space
);
6632 pa
= isl_pw_aff_from_aff(tmp
);
6634 for (i
= 0; i
< n_in
; ++i
) {
6637 if (!isl_aff_involves_dims(aff
, isl_dim_in
, i
, 1))
6639 v
= isl_aff_get_coefficient_val(aff
, isl_dim_in
, i
);
6640 pa_i
= isl_multi_pw_aff_get_pw_aff(mpa
, i
);
6641 pa_i
= isl_pw_aff_scale_val(pa_i
, v
);
6642 pa
= isl_pw_aff_add(pa
, pa_i
);
6645 for (i
= 0; i
< n_div
; ++i
) {
6649 if (!isl_aff_involves_dims(aff
, isl_dim_div
, i
, 1))
6651 div
= isl_aff_get_div(aff
, i
);
6652 pa_i
= isl_multi_pw_aff_apply_aff_aligned(
6653 isl_multi_pw_aff_copy(mpa
), div
);
6654 pa_i
= isl_pw_aff_floor(pa_i
);
6655 v
= isl_aff_get_coefficient_val(aff
, isl_dim_div
, i
);
6656 pa_i
= isl_pw_aff_scale_val(pa_i
, v
);
6657 pa
= isl_pw_aff_add(pa
, pa_i
);
6660 isl_multi_pw_aff_free(mpa
);
6666 /* Apply "aff" to "mpa". The range of "mpa" needs to be compatible
6667 * with the domain of "aff". The domain of the result is the same
6670 __isl_give isl_pw_aff
*isl_multi_pw_aff_apply_aff(
6671 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_aff
*aff
)
6675 if (isl_space_match(aff
->ls
->dim
, isl_dim_param
,
6676 mpa
->space
, isl_dim_param
))
6677 return isl_multi_pw_aff_apply_aff_aligned(mpa
, aff
);
6679 aff
= isl_aff_align_params(aff
, isl_multi_pw_aff_get_space(mpa
));
6680 mpa
= isl_multi_pw_aff_align_params(mpa
, isl_aff_get_space(aff
));
6682 return isl_multi_pw_aff_apply_aff_aligned(mpa
, aff
);
6685 isl_multi_pw_aff_free(mpa
);
6689 /* Apply "pa" to "mpa". The range of "mpa" needs to be compatible
6690 * with the domain of "pa". The domain of the result is the same
6692 * "mpa" and "pa" are assumed to have been aligned.
6694 * We consider each piece in turn. Note that the domains of the
6695 * pieces are assumed to be disjoint and they remain disjoint
6696 * after taking the preimage (over the same function).
6698 static __isl_give isl_pw_aff
*isl_multi_pw_aff_apply_pw_aff_aligned(
6699 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_pw_aff
*pa
)
6708 space
= isl_space_join(isl_multi_pw_aff_get_space(mpa
),
6709 isl_pw_aff_get_space(pa
));
6710 res
= isl_pw_aff_empty(space
);
6712 for (i
= 0; i
< pa
->n
; ++i
) {
6716 pa_i
= isl_multi_pw_aff_apply_aff_aligned(
6717 isl_multi_pw_aff_copy(mpa
),
6718 isl_aff_copy(pa
->p
[i
].aff
));
6719 domain
= isl_set_copy(pa
->p
[i
].set
);
6720 domain
= isl_set_preimage_multi_pw_aff(domain
,
6721 isl_multi_pw_aff_copy(mpa
));
6722 pa_i
= isl_pw_aff_intersect_domain(pa_i
, domain
);
6723 res
= isl_pw_aff_add_disjoint(res
, pa_i
);
6726 isl_pw_aff_free(pa
);
6727 isl_multi_pw_aff_free(mpa
);
6730 isl_pw_aff_free(pa
);
6731 isl_multi_pw_aff_free(mpa
);
6735 /* Apply "pa" to "mpa". The range of "mpa" needs to be compatible
6736 * with the domain of "pa". The domain of the result is the same
6739 __isl_give isl_pw_aff
*isl_multi_pw_aff_apply_pw_aff(
6740 __isl_take isl_multi_pw_aff
*mpa
, __isl_take isl_pw_aff
*pa
)
6744 if (isl_space_match(pa
->dim
, isl_dim_param
, mpa
->space
, isl_dim_param
))
6745 return isl_multi_pw_aff_apply_pw_aff_aligned(mpa
, pa
);
6747 pa
= isl_pw_aff_align_params(pa
, isl_multi_pw_aff_get_space(mpa
));
6748 mpa
= isl_multi_pw_aff_align_params(mpa
, isl_pw_aff_get_space(pa
));
6750 return isl_multi_pw_aff_apply_pw_aff_aligned(mpa
, pa
);
6752 isl_pw_aff_free(pa
);
6753 isl_multi_pw_aff_free(mpa
);
6757 /* Compute the pullback of "pa" by the function represented by "mpa".
6758 * In other words, plug in "mpa" in "pa".
6759 * "pa" and "mpa" are assumed to have been aligned.
6761 * The pullback is computed by applying "pa" to "mpa".
6763 static __isl_give isl_pw_aff
*isl_pw_aff_pullback_multi_pw_aff_aligned(
6764 __isl_take isl_pw_aff
*pa
, __isl_take isl_multi_pw_aff
*mpa
)
6766 return isl_multi_pw_aff_apply_pw_aff_aligned(mpa
, pa
);
6769 /* Compute the pullback of "pa" by the function represented by "mpa".
6770 * In other words, plug in "mpa" in "pa".
6772 * The pullback is computed by applying "pa" to "mpa".
6774 __isl_give isl_pw_aff
*isl_pw_aff_pullback_multi_pw_aff(
6775 __isl_take isl_pw_aff
*pa
, __isl_take isl_multi_pw_aff
*mpa
)
6777 return isl_multi_pw_aff_apply_pw_aff(mpa
, pa
);
6780 /* Compute the pullback of "mpa1" by the function represented by "mpa2".
6781 * In other words, plug in "mpa2" in "mpa1".
6783 * The parameters of "mpa1" and "mpa2" are assumed to have been aligned.
6785 * We pullback each member of "mpa1" in turn.
6787 static __isl_give isl_multi_pw_aff
*
6788 isl_multi_pw_aff_pullback_multi_pw_aff_aligned(
6789 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
)
6792 isl_space
*space
= NULL
;
6794 mpa1
= isl_multi_pw_aff_cow(mpa1
);
6798 space
= isl_space_join(isl_multi_pw_aff_get_space(mpa2
),
6799 isl_multi_pw_aff_get_space(mpa1
));
6801 for (i
= 0; i
< mpa1
->n
; ++i
) {
6802 mpa1
->p
[i
] = isl_pw_aff_pullback_multi_pw_aff_aligned(
6803 mpa1
->p
[i
], isl_multi_pw_aff_copy(mpa2
));
6808 mpa1
= isl_multi_pw_aff_reset_space(mpa1
, space
);
6810 isl_multi_pw_aff_free(mpa2
);
6813 isl_space_free(space
);
6814 isl_multi_pw_aff_free(mpa1
);
6815 isl_multi_pw_aff_free(mpa2
);
6819 /* Compute the pullback of "mpa1" by the function represented by "mpa2".
6820 * In other words, plug in "mpa2" in "mpa1".
6822 __isl_give isl_multi_pw_aff
*isl_multi_pw_aff_pullback_multi_pw_aff(
6823 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
)
6825 return isl_multi_pw_aff_align_params_multi_multi_and(mpa1
, mpa2
,
6826 &isl_multi_pw_aff_pullback_multi_pw_aff_aligned
);
6829 /* Align the parameters of "mpa1" and "mpa2", check that the ranges
6830 * of "mpa1" and "mpa2" live in the same space, construct map space
6831 * between the domain spaces of "mpa1" and "mpa2" and call "order"
6832 * with this map space as extract argument.
6834 static __isl_give isl_map
*isl_multi_pw_aff_order_map(
6835 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
,
6836 __isl_give isl_map
*(*order
)(__isl_keep isl_multi_pw_aff
*mpa1
,
6837 __isl_keep isl_multi_pw_aff
*mpa2
, __isl_take isl_space
*space
))
6840 isl_space
*space1
, *space2
;
6843 mpa1
= isl_multi_pw_aff_align_params(mpa1
,
6844 isl_multi_pw_aff_get_space(mpa2
));
6845 mpa2
= isl_multi_pw_aff_align_params(mpa2
,
6846 isl_multi_pw_aff_get_space(mpa1
));
6849 match
= isl_space_tuple_is_equal(mpa1
->space
, isl_dim_out
,
6850 mpa2
->space
, isl_dim_out
);
6854 isl_die(isl_multi_pw_aff_get_ctx(mpa1
), isl_error_invalid
,
6855 "range spaces don't match", goto error
);
6856 space1
= isl_space_domain(isl_multi_pw_aff_get_space(mpa1
));
6857 space2
= isl_space_domain(isl_multi_pw_aff_get_space(mpa2
));
6858 space1
= isl_space_map_from_domain_and_range(space1
, space2
);
6860 res
= order(mpa1
, mpa2
, space1
);
6861 isl_multi_pw_aff_free(mpa1
);
6862 isl_multi_pw_aff_free(mpa2
);
6865 isl_multi_pw_aff_free(mpa1
);
6866 isl_multi_pw_aff_free(mpa2
);
6870 /* Return a map containing pairs of elements in the domains of "mpa1" and "mpa2"
6871 * where the function values are equal. "space" is the space of the result.
6872 * The parameters of "mpa1" and "mpa2" are assumed to have been aligned.
6874 * "mpa1" and "mpa2" are equal when each of the pairs of elements
6875 * in the sequences are equal.
6877 static __isl_give isl_map
*isl_multi_pw_aff_eq_map_on_space(
6878 __isl_keep isl_multi_pw_aff
*mpa1
, __isl_keep isl_multi_pw_aff
*mpa2
,
6879 __isl_take isl_space
*space
)
6884 res
= isl_map_universe(space
);
6886 n
= isl_multi_pw_aff_dim(mpa1
, isl_dim_out
);
6887 for (i
= 0; i
< n
; ++i
) {
6888 isl_pw_aff
*pa1
, *pa2
;
6891 pa1
= isl_multi_pw_aff_get_pw_aff(mpa1
, i
);
6892 pa2
= isl_multi_pw_aff_get_pw_aff(mpa2
, i
);
6893 map
= isl_pw_aff_eq_map(pa1
, pa2
);
6894 res
= isl_map_intersect(res
, map
);
6900 /* Return a map containing pairs of elements in the domains of "mpa1" and "mpa2"
6901 * where the function values are equal.
6903 __isl_give isl_map
*isl_multi_pw_aff_eq_map(__isl_take isl_multi_pw_aff
*mpa1
,
6904 __isl_take isl_multi_pw_aff
*mpa2
)
6906 return isl_multi_pw_aff_order_map(mpa1
, mpa2
,
6907 &isl_multi_pw_aff_eq_map_on_space
);
6910 /* Return a map containing pairs of elements in the domains of "mpa1" and "mpa2"
6911 * where the function values of "mpa1" is lexicographically satisfies "base"
6912 * compared to that of "mpa2". "space" is the space of the result.
6913 * The parameters of "mpa1" and "mpa2" are assumed to have been aligned.
6915 * "mpa1" lexicographically satisfies "base" compared to "mpa2"
6916 * if its i-th element satisfies "base" when compared to
6917 * the i-th element of "mpa2" while all previous elements are
6920 static __isl_give isl_map
*isl_multi_pw_aff_lex_map_on_space(
6921 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
,
6922 __isl_give isl_map
*(*base
)(__isl_take isl_pw_aff
*pa1
,
6923 __isl_take isl_pw_aff
*pa2
),
6924 __isl_take isl_space
*space
)
6927 isl_map
*res
, *rest
;
6929 res
= isl_map_empty(isl_space_copy(space
));
6930 rest
= isl_map_universe(space
);
6932 n
= isl_multi_pw_aff_dim(mpa1
, isl_dim_out
);
6933 for (i
= 0; i
< n
; ++i
) {
6934 isl_pw_aff
*pa1
, *pa2
;
6937 pa1
= isl_multi_pw_aff_get_pw_aff(mpa1
, i
);
6938 pa2
= isl_multi_pw_aff_get_pw_aff(mpa2
, i
);
6939 map
= base(pa1
, pa2
);
6940 map
= isl_map_intersect(map
, isl_map_copy(rest
));
6941 res
= isl_map_union(res
, map
);
6946 pa1
= isl_multi_pw_aff_get_pw_aff(mpa1
, i
);
6947 pa2
= isl_multi_pw_aff_get_pw_aff(mpa2
, i
);
6948 map
= isl_pw_aff_eq_map(pa1
, pa2
);
6949 rest
= isl_map_intersect(rest
, map
);
6956 /* Return a map containing pairs of elements in the domains of "mpa1" and "mpa2"
6957 * where the function value of "mpa1" is lexicographically less than that
6958 * of "mpa2". "space" is the space of the result.
6959 * The parameters of "mpa1" and "mpa2" are assumed to have been aligned.
6961 * "mpa1" is less than "mpa2" if its i-th element is smaller
6962 * than the i-th element of "mpa2" while all previous elements are
6965 __isl_give isl_map
*isl_multi_pw_aff_lex_lt_map_on_space(
6966 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
,
6967 __isl_take isl_space
*space
)
6969 return isl_multi_pw_aff_lex_map_on_space(mpa1
, mpa2
,
6970 &isl_pw_aff_lt_map
, space
);
6973 /* Return a map containing pairs of elements in the domains of "mpa1" and "mpa2"
6974 * where the function value of "mpa1" is lexicographically less than that
6977 __isl_give isl_map
*isl_multi_pw_aff_lex_lt_map(
6978 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
)
6980 return isl_multi_pw_aff_order_map(mpa1
, mpa2
,
6981 &isl_multi_pw_aff_lex_lt_map_on_space
);
6984 /* Return a map containing pairs of elements in the domains of "mpa1" and "mpa2"
6985 * where the function value of "mpa1" is lexicographically greater than that
6986 * of "mpa2". "space" is the space of the result.
6987 * The parameters of "mpa1" and "mpa2" are assumed to have been aligned.
6989 * "mpa1" is greater than "mpa2" if its i-th element is greater
6990 * than the i-th element of "mpa2" while all previous elements are
6993 __isl_give isl_map
*isl_multi_pw_aff_lex_gt_map_on_space(
6994 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
,
6995 __isl_take isl_space
*space
)
6997 return isl_multi_pw_aff_lex_map_on_space(mpa1
, mpa2
,
6998 &isl_pw_aff_gt_map
, space
);
7001 /* Return a map containing pairs of elements in the domains of "mpa1" and "mpa2"
7002 * where the function value of "mpa1" is lexicographically greater than that
7005 __isl_give isl_map
*isl_multi_pw_aff_lex_gt_map(
7006 __isl_take isl_multi_pw_aff
*mpa1
, __isl_take isl_multi_pw_aff
*mpa2
)
7008 return isl_multi_pw_aff_order_map(mpa1
, mpa2
,
7009 &isl_multi_pw_aff_lex_gt_map_on_space
);
7012 /* Compare two isl_affs.
7014 * Return -1 if "aff1" is "smaller" than "aff2", 1 if "aff1" is "greater"
7015 * than "aff2" and 0 if they are equal.
7017 * The order is fairly arbitrary. We do consider expressions that only involve
7018 * earlier dimensions as "smaller".
7020 int isl_aff_plain_cmp(__isl_keep isl_aff
*aff1
, __isl_keep isl_aff
*aff2
)
7033 cmp
= isl_local_space_cmp(aff1
->ls
, aff2
->ls
);
7037 last1
= isl_seq_last_non_zero(aff1
->v
->el
+ 1, aff1
->v
->size
- 1);
7038 last2
= isl_seq_last_non_zero(aff2
->v
->el
+ 1, aff1
->v
->size
- 1);
7040 return last1
- last2
;
7042 return isl_seq_cmp(aff1
->v
->el
, aff2
->v
->el
, aff1
->v
->size
);
7045 /* Compare two isl_pw_affs.
7047 * Return -1 if "pa1" is "smaller" than "pa2", 1 if "pa1" is "greater"
7048 * than "pa2" and 0 if they are equal.
7050 * The order is fairly arbitrary. We do consider expressions that only involve
7051 * earlier dimensions as "smaller".
7053 int isl_pw_aff_plain_cmp(__isl_keep isl_pw_aff
*pa1
,
7054 __isl_keep isl_pw_aff
*pa2
)
7067 cmp
= isl_space_cmp(pa1
->dim
, pa2
->dim
);
7071 if (pa1
->n
!= pa2
->n
)
7072 return pa1
->n
- pa2
->n
;
7074 for (i
= 0; i
< pa1
->n
; ++i
) {
7075 cmp
= isl_set_plain_cmp(pa1
->p
[i
].set
, pa2
->p
[i
].set
);
7078 cmp
= isl_aff_plain_cmp(pa1
->p
[i
].aff
, pa2
->p
[i
].aff
);
7086 /* Return a piecewise affine expression that is equal to "v" on "domain".
7088 __isl_give isl_pw_aff
*isl_pw_aff_val_on_domain(__isl_take isl_set
*domain
,
7089 __isl_take isl_val
*v
)
7092 isl_local_space
*ls
;
7095 space
= isl_set_get_space(domain
);
7096 ls
= isl_local_space_from_space(space
);
7097 aff
= isl_aff_val_on_domain(ls
, v
);
7099 return isl_pw_aff_alloc(domain
, aff
);
7102 /* Return a multi affine expression that is equal to "mv" on domain
7105 __isl_give isl_multi_aff
*isl_multi_aff_multi_val_on_space(
7106 __isl_take isl_space
*space
, __isl_take isl_multi_val
*mv
)
7110 isl_local_space
*ls
;
7116 n
= isl_multi_val_dim(mv
, isl_dim_set
);
7117 space2
= isl_multi_val_get_space(mv
);
7118 space2
= isl_space_align_params(space2
, isl_space_copy(space
));
7119 space
= isl_space_align_params(space
, isl_space_copy(space2
));
7120 space
= isl_space_map_from_domain_and_range(space
, space2
);
7121 ma
= isl_multi_aff_alloc(isl_space_copy(space
));
7122 ls
= isl_local_space_from_space(isl_space_domain(space
));
7123 for (i
= 0; i
< n
; ++i
) {
7127 v
= isl_multi_val_get_val(mv
, i
);
7128 aff
= isl_aff_val_on_domain(isl_local_space_copy(ls
), v
);
7129 ma
= isl_multi_aff_set_aff(ma
, i
, aff
);
7131 isl_local_space_free(ls
);
7133 isl_multi_val_free(mv
);
7136 isl_space_free(space
);
7137 isl_multi_val_free(mv
);
7141 /* Return a piecewise multi-affine expression
7142 * that is equal to "mv" on "domain".
7144 __isl_give isl_pw_multi_aff
*isl_pw_multi_aff_multi_val_on_domain(
7145 __isl_take isl_set
*domain
, __isl_take isl_multi_val
*mv
)
7150 space
= isl_set_get_space(domain
);
7151 ma
= isl_multi_aff_multi_val_on_space(space
, mv
);
7153 return isl_pw_multi_aff_alloc(domain
, ma
);
7156 /* Internal data structure for isl_union_pw_multi_aff_multi_val_on_domain.
7157 * mv is the value that should be attained on each domain set
7158 * res collects the results
7160 struct isl_union_pw_multi_aff_multi_val_on_domain_data
{
7162 isl_union_pw_multi_aff
*res
;
7165 /* Create an isl_pw_multi_aff equal to data->mv on "domain"
7166 * and add it to data->res.
7168 static isl_stat
pw_multi_aff_multi_val_on_domain(__isl_take isl_set
*domain
,
7171 struct isl_union_pw_multi_aff_multi_val_on_domain_data
*data
= user
;
7172 isl_pw_multi_aff
*pma
;
7175 mv
= isl_multi_val_copy(data
->mv
);
7176 pma
= isl_pw_multi_aff_multi_val_on_domain(domain
, mv
);
7177 data
->res
= isl_union_pw_multi_aff_add_pw_multi_aff(data
->res
, pma
);
7179 return data
->res
? isl_stat_ok
: isl_stat_error
;
7182 /* Return a union piecewise multi-affine expression
7183 * that is equal to "mv" on "domain".
7185 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_multi_val_on_domain(
7186 __isl_take isl_union_set
*domain
, __isl_take isl_multi_val
*mv
)
7188 struct isl_union_pw_multi_aff_multi_val_on_domain_data data
;
7191 space
= isl_union_set_get_space(domain
);
7192 data
.res
= isl_union_pw_multi_aff_empty(space
);
7194 if (isl_union_set_foreach_set(domain
,
7195 &pw_multi_aff_multi_val_on_domain
, &data
) < 0)
7196 data
.res
= isl_union_pw_multi_aff_free(data
.res
);
7197 isl_union_set_free(domain
);
7198 isl_multi_val_free(mv
);
7202 /* Compute the pullback of data->pma by the function represented by "pma2",
7203 * provided the spaces match, and add the results to data->res.
7205 static isl_stat
pullback_entry(__isl_take isl_pw_multi_aff
*pma2
, void *user
)
7207 struct isl_union_pw_multi_aff_bin_data
*data
= user
;
7209 if (!isl_space_tuple_is_equal(data
->pma
->dim
, isl_dim_in
,
7210 pma2
->dim
, isl_dim_out
)) {
7211 isl_pw_multi_aff_free(pma2
);
7215 pma2
= isl_pw_multi_aff_pullback_pw_multi_aff(
7216 isl_pw_multi_aff_copy(data
->pma
), pma2
);
7218 data
->res
= isl_union_pw_multi_aff_add_pw_multi_aff(data
->res
, pma2
);
7220 return isl_stat_error
;
7225 /* Compute the pullback of "upma1" by the function represented by "upma2".
7227 __isl_give isl_union_pw_multi_aff
*
7228 isl_union_pw_multi_aff_pullback_union_pw_multi_aff(
7229 __isl_take isl_union_pw_multi_aff
*upma1
,
7230 __isl_take isl_union_pw_multi_aff
*upma2
)
7232 return bin_op(upma1
, upma2
, &pullback_entry
);
7235 /* Check that the domain space of "upa" matches "space".
7237 * Return 0 on success and -1 on error.
7239 * This function is called from isl_multi_union_pw_aff_set_union_pw_aff and
7240 * can in principle never fail since the space "space" is that
7241 * of the isl_multi_union_pw_aff and is a set space such that
7242 * there is no domain space to match.
7244 * We check the parameters and double-check that "space" is
7245 * indeed that of a set.
7247 static int isl_union_pw_aff_check_match_domain_space(
7248 __isl_keep isl_union_pw_aff
*upa
, __isl_keep isl_space
*space
)
7250 isl_space
*upa_space
;
7256 match
= isl_space_is_set(space
);
7260 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
7261 "expecting set space", return -1);
7263 upa_space
= isl_union_pw_aff_get_space(upa
);
7264 match
= isl_space_match(space
, isl_dim_param
, upa_space
, isl_dim_param
);
7268 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
7269 "parameters don't match", goto error
);
7271 isl_space_free(upa_space
);
7274 isl_space_free(upa_space
);
7278 /* Do the parameters of "upa" match those of "space"?
7280 static int isl_union_pw_aff_matching_params(__isl_keep isl_union_pw_aff
*upa
,
7281 __isl_keep isl_space
*space
)
7283 isl_space
*upa_space
;
7289 upa_space
= isl_union_pw_aff_get_space(upa
);
7291 match
= isl_space_match(space
, isl_dim_param
, upa_space
, isl_dim_param
);
7293 isl_space_free(upa_space
);
7297 /* Internal data structure for isl_union_pw_aff_reset_domain_space.
7298 * space represents the new parameters.
7299 * res collects the results.
7301 struct isl_union_pw_aff_reset_params_data
{
7303 isl_union_pw_aff
*res
;
7306 /* Replace the parameters of "pa" by data->space and
7307 * add the result to data->res.
7309 static isl_stat
reset_params(__isl_take isl_pw_aff
*pa
, void *user
)
7311 struct isl_union_pw_aff_reset_params_data
*data
= user
;
7314 space
= isl_pw_aff_get_space(pa
);
7315 space
= isl_space_replace(space
, isl_dim_param
, data
->space
);
7316 pa
= isl_pw_aff_reset_space(pa
, space
);
7317 data
->res
= isl_union_pw_aff_add_pw_aff(data
->res
, pa
);
7319 return data
->res
? isl_stat_ok
: isl_stat_error
;
7322 /* Replace the domain space of "upa" by "space".
7323 * Since a union expression does not have a (single) domain space,
7324 * "space" is necessarily a parameter space.
7326 * Since the order and the names of the parameters determine
7327 * the hash value, we need to create a new hash table.
7329 static __isl_give isl_union_pw_aff
*isl_union_pw_aff_reset_domain_space(
7330 __isl_take isl_union_pw_aff
*upa
, __isl_take isl_space
*space
)
7332 struct isl_union_pw_aff_reset_params_data data
= { space
};
7335 match
= isl_union_pw_aff_matching_params(upa
, space
);
7337 upa
= isl_union_pw_aff_free(upa
);
7339 isl_space_free(space
);
7343 data
.res
= isl_union_pw_aff_empty(isl_space_copy(space
));
7344 if (isl_union_pw_aff_foreach_pw_aff(upa
, &reset_params
, &data
) < 0)
7345 data
.res
= isl_union_pw_aff_free(data
.res
);
7347 isl_union_pw_aff_free(upa
);
7348 isl_space_free(space
);
7352 /* Return the floor of "pa".
7354 static __isl_give isl_pw_aff
*floor_entry(__isl_take isl_pw_aff
*pa
, void *user
)
7356 return isl_pw_aff_floor(pa
);
7359 /* Given f, return floor(f).
7361 __isl_give isl_union_pw_aff
*isl_union_pw_aff_floor(
7362 __isl_take isl_union_pw_aff
*upa
)
7364 return isl_union_pw_aff_transform_inplace(upa
, &floor_entry
, NULL
);
7369 * upa mod m = upa - m * floor(upa/m)
7371 * with m an integer value.
7373 __isl_give isl_union_pw_aff
*isl_union_pw_aff_mod_val(
7374 __isl_take isl_union_pw_aff
*upa
, __isl_take isl_val
*m
)
7376 isl_union_pw_aff
*res
;
7381 if (!isl_val_is_int(m
))
7382 isl_die(isl_val_get_ctx(m
), isl_error_invalid
,
7383 "expecting integer modulo", goto error
);
7384 if (!isl_val_is_pos(m
))
7385 isl_die(isl_val_get_ctx(m
), isl_error_invalid
,
7386 "expecting positive modulo", goto error
);
7388 res
= isl_union_pw_aff_copy(upa
);
7389 upa
= isl_union_pw_aff_scale_down_val(upa
, isl_val_copy(m
));
7390 upa
= isl_union_pw_aff_floor(upa
);
7391 upa
= isl_union_pw_aff_scale_val(upa
, m
);
7392 res
= isl_union_pw_aff_sub(res
, upa
);
7397 isl_union_pw_aff_free(upa
);
7401 /* Internal data structure for isl_union_pw_aff_aff_on_domain.
7402 * "aff" is the symbolic value that the resulting isl_union_pw_aff
7404 * "res" collects the results.
7406 struct isl_union_pw_aff_aff_on_domain_data
{
7408 isl_union_pw_aff
*res
;
7411 /* Construct a piecewise affine expression that is equal to data->aff
7412 * on "domain" and add the result to data->res.
7414 static isl_stat
pw_aff_aff_on_domain(__isl_take isl_set
*domain
, void *user
)
7416 struct isl_union_pw_aff_aff_on_domain_data
*data
= user
;
7421 aff
= isl_aff_copy(data
->aff
);
7422 dim
= isl_set_dim(domain
, isl_dim_set
);
7423 aff
= isl_aff_add_dims(aff
, isl_dim_in
, dim
);
7424 aff
= isl_aff_reset_domain_space(aff
, isl_set_get_space(domain
));
7425 pa
= isl_pw_aff_alloc(domain
, aff
);
7426 data
->res
= isl_union_pw_aff_add_pw_aff(data
->res
, pa
);
7428 return data
->res
? isl_stat_ok
: isl_stat_error
;
7431 /* Internal data structure for isl_union_pw_multi_aff_get_union_pw_aff.
7432 * pos is the output position that needs to be extracted.
7433 * res collects the results.
7435 struct isl_union_pw_multi_aff_get_union_pw_aff_data
{
7437 isl_union_pw_aff
*res
;
7440 /* Extract an isl_pw_aff corresponding to output dimension "pos" of "pma"
7441 * (assuming it has such a dimension) and add it to data->res.
7443 static isl_stat
get_union_pw_aff(__isl_take isl_pw_multi_aff
*pma
, void *user
)
7445 struct isl_union_pw_multi_aff_get_union_pw_aff_data
*data
= user
;
7450 return isl_stat_error
;
7452 n_out
= isl_pw_multi_aff_dim(pma
, isl_dim_out
);
7453 if (data
->pos
>= n_out
) {
7454 isl_pw_multi_aff_free(pma
);
7458 pa
= isl_pw_multi_aff_get_pw_aff(pma
, data
->pos
);
7459 isl_pw_multi_aff_free(pma
);
7461 data
->res
= isl_union_pw_aff_add_pw_aff(data
->res
, pa
);
7463 return data
->res
? isl_stat_ok
: isl_stat_error
;
7466 /* Extract an isl_union_pw_aff corresponding to
7467 * output dimension "pos" of "upma".
7469 __isl_give isl_union_pw_aff
*isl_union_pw_multi_aff_get_union_pw_aff(
7470 __isl_keep isl_union_pw_multi_aff
*upma
, int pos
)
7472 struct isl_union_pw_multi_aff_get_union_pw_aff_data data
;
7479 isl_die(isl_union_pw_multi_aff_get_ctx(upma
), isl_error_invalid
,
7480 "cannot extract at negative position", return NULL
);
7482 space
= isl_union_pw_multi_aff_get_space(upma
);
7483 data
.res
= isl_union_pw_aff_empty(space
);
7485 if (isl_union_pw_multi_aff_foreach_pw_multi_aff(upma
,
7486 &get_union_pw_aff
, &data
) < 0)
7487 data
.res
= isl_union_pw_aff_free(data
.res
);
7492 /* Return a union piecewise affine expression
7493 * that is equal to "aff" on "domain".
7495 * Construct an isl_pw_aff on each of the sets in "domain" and
7496 * collect the results.
7498 __isl_give isl_union_pw_aff
*isl_union_pw_aff_aff_on_domain(
7499 __isl_take isl_union_set
*domain
, __isl_take isl_aff
*aff
)
7501 struct isl_union_pw_aff_aff_on_domain_data data
;
7504 if (!domain
|| !aff
)
7506 if (!isl_local_space_is_params(aff
->ls
))
7507 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
7508 "expecting parametric expression", goto error
);
7510 space
= isl_union_set_get_space(domain
);
7511 data
.res
= isl_union_pw_aff_empty(space
);
7513 if (isl_union_set_foreach_set(domain
, &pw_aff_aff_on_domain
, &data
) < 0)
7514 data
.res
= isl_union_pw_aff_free(data
.res
);
7515 isl_union_set_free(domain
);
7519 isl_union_set_free(domain
);
7524 /* Internal data structure for isl_union_pw_aff_val_on_domain.
7525 * "v" is the value that the resulting isl_union_pw_aff needs to attain.
7526 * "res" collects the results.
7528 struct isl_union_pw_aff_val_on_domain_data
{
7530 isl_union_pw_aff
*res
;
7533 /* Construct a piecewise affine expression that is equal to data->v
7534 * on "domain" and add the result to data->res.
7536 static isl_stat
pw_aff_val_on_domain(__isl_take isl_set
*domain
, void *user
)
7538 struct isl_union_pw_aff_val_on_domain_data
*data
= user
;
7542 v
= isl_val_copy(data
->v
);
7543 pa
= isl_pw_aff_val_on_domain(domain
, v
);
7544 data
->res
= isl_union_pw_aff_add_pw_aff(data
->res
, pa
);
7546 return data
->res
? isl_stat_ok
: isl_stat_error
;
7549 /* Return a union piecewise affine expression
7550 * that is equal to "v" on "domain".
7552 * Construct an isl_pw_aff on each of the sets in "domain" and
7553 * collect the results.
7555 __isl_give isl_union_pw_aff
*isl_union_pw_aff_val_on_domain(
7556 __isl_take isl_union_set
*domain
, __isl_take isl_val
*v
)
7558 struct isl_union_pw_aff_val_on_domain_data data
;
7561 space
= isl_union_set_get_space(domain
);
7562 data
.res
= isl_union_pw_aff_empty(space
);
7564 if (isl_union_set_foreach_set(domain
, &pw_aff_val_on_domain
, &data
) < 0)
7565 data
.res
= isl_union_pw_aff_free(data
.res
);
7566 isl_union_set_free(domain
);
7571 /* Construct a piecewise multi affine expression
7572 * that is equal to "pa" and add it to upma.
7574 static isl_stat
pw_multi_aff_from_pw_aff_entry(__isl_take isl_pw_aff
*pa
,
7577 isl_union_pw_multi_aff
**upma
= user
;
7578 isl_pw_multi_aff
*pma
;
7580 pma
= isl_pw_multi_aff_from_pw_aff(pa
);
7581 *upma
= isl_union_pw_multi_aff_add_pw_multi_aff(*upma
, pma
);
7583 return *upma
? isl_stat_ok
: isl_stat_error
;
7586 /* Construct and return a union piecewise multi affine expression
7587 * that is equal to the given union piecewise affine expression.
7589 __isl_give isl_union_pw_multi_aff
*isl_union_pw_multi_aff_from_union_pw_aff(
7590 __isl_take isl_union_pw_aff
*upa
)
7593 isl_union_pw_multi_aff
*upma
;
7598 space
= isl_union_pw_aff_get_space(upa
);
7599 upma
= isl_union_pw_multi_aff_empty(space
);
7601 if (isl_union_pw_aff_foreach_pw_aff(upa
,
7602 &pw_multi_aff_from_pw_aff_entry
, &upma
) < 0)
7603 upma
= isl_union_pw_multi_aff_free(upma
);
7605 isl_union_pw_aff_free(upa
);
7609 /* Compute the set of elements in the domain of "pa" where it is zero and
7610 * add this set to "uset".
7612 static isl_stat
zero_union_set(__isl_take isl_pw_aff
*pa
, void *user
)
7614 isl_union_set
**uset
= (isl_union_set
**)user
;
7616 *uset
= isl_union_set_add_set(*uset
, isl_pw_aff_zero_set(pa
));
7618 return *uset
? isl_stat_ok
: isl_stat_error
;
7621 /* Return a union set containing those elements in the domain
7622 * of "upa" where it is zero.
7624 __isl_give isl_union_set
*isl_union_pw_aff_zero_union_set(
7625 __isl_take isl_union_pw_aff
*upa
)
7627 isl_union_set
*zero
;
7629 zero
= isl_union_set_empty(isl_union_pw_aff_get_space(upa
));
7630 if (isl_union_pw_aff_foreach_pw_aff(upa
, &zero_union_set
, &zero
) < 0)
7631 zero
= isl_union_set_free(zero
);
7633 isl_union_pw_aff_free(upa
);
7637 /* Convert "pa" to an isl_map and add it to *umap.
7639 static isl_stat
map_from_pw_aff_entry(__isl_take isl_pw_aff
*pa
, void *user
)
7641 isl_union_map
**umap
= user
;
7644 map
= isl_map_from_pw_aff(pa
);
7645 *umap
= isl_union_map_add_map(*umap
, map
);
7647 return *umap
? isl_stat_ok
: isl_stat_error
;
7650 /* Construct a union map mapping the domain of the union
7651 * piecewise affine expression to its range, with the single output dimension
7652 * equated to the corresponding affine expressions on their cells.
7654 __isl_give isl_union_map
*isl_union_map_from_union_pw_aff(
7655 __isl_take isl_union_pw_aff
*upa
)
7658 isl_union_map
*umap
;
7663 space
= isl_union_pw_aff_get_space(upa
);
7664 umap
= isl_union_map_empty(space
);
7666 if (isl_union_pw_aff_foreach_pw_aff(upa
, &map_from_pw_aff_entry
,
7668 umap
= isl_union_map_free(umap
);
7670 isl_union_pw_aff_free(upa
);
7674 /* Internal data structure for isl_union_pw_aff_pullback_union_pw_multi_aff.
7675 * upma is the function that is plugged in.
7676 * pa is the current part of the function in which upma is plugged in.
7677 * res collects the results.
7679 struct isl_union_pw_aff_pullback_upma_data
{
7680 isl_union_pw_multi_aff
*upma
;
7682 isl_union_pw_aff
*res
;
7685 /* Check if "pma" can be plugged into data->pa.
7686 * If so, perform the pullback and add the result to data->res.
7688 static isl_stat
pa_pb_pma(__isl_take isl_pw_multi_aff
*pma
, void *user
)
7690 struct isl_union_pw_aff_pullback_upma_data
*data
= user
;
7693 if (!isl_space_tuple_is_equal(data
->pa
->dim
, isl_dim_in
,
7694 pma
->dim
, isl_dim_out
)) {
7695 isl_pw_multi_aff_free(pma
);
7699 pa
= isl_pw_aff_copy(data
->pa
);
7700 pa
= isl_pw_aff_pullback_pw_multi_aff(pa
, pma
);
7702 data
->res
= isl_union_pw_aff_add_pw_aff(data
->res
, pa
);
7704 return data
->res
? isl_stat_ok
: isl_stat_error
;
7707 /* Check if any of the elements of data->upma can be plugged into pa,
7708 * add if so add the result to data->res.
7710 static isl_stat
upa_pb_upma(__isl_take isl_pw_aff
*pa
, void *user
)
7712 struct isl_union_pw_aff_pullback_upma_data
*data
= user
;
7716 r
= isl_union_pw_multi_aff_foreach_pw_multi_aff(data
->upma
,
7718 isl_pw_aff_free(pa
);
7723 /* Compute the pullback of "upa" by the function represented by "upma".
7724 * In other words, plug in "upma" in "upa". The result contains
7725 * expressions defined over the domain space of "upma".
7727 * Run over all pairs of elements in "upa" and "upma", perform
7728 * the pullback when appropriate and collect the results.
7729 * If the hash value were based on the domain space rather than
7730 * the function space, then we could run through all elements
7731 * of "upma" and directly pick out the corresponding element of "upa".
7733 __isl_give isl_union_pw_aff
*isl_union_pw_aff_pullback_union_pw_multi_aff(
7734 __isl_take isl_union_pw_aff
*upa
,
7735 __isl_take isl_union_pw_multi_aff
*upma
)
7737 struct isl_union_pw_aff_pullback_upma_data data
= { NULL
, NULL
};
7740 space
= isl_union_pw_multi_aff_get_space(upma
);
7741 upa
= isl_union_pw_aff_align_params(upa
, space
);
7742 space
= isl_union_pw_aff_get_space(upa
);
7743 upma
= isl_union_pw_multi_aff_align_params(upma
, space
);
7749 data
.res
= isl_union_pw_aff_alloc_same_size(upa
);
7750 if (isl_union_pw_aff_foreach_pw_aff(upa
, &upa_pb_upma
, &data
) < 0)
7751 data
.res
= isl_union_pw_aff_free(data
.res
);
7753 isl_union_pw_aff_free(upa
);
7754 isl_union_pw_multi_aff_free(upma
);
7757 isl_union_pw_aff_free(upa
);
7758 isl_union_pw_multi_aff_free(upma
);
7763 #define BASE union_pw_aff
7765 #define DOMBASE union_set
7767 #define NO_MOVE_DIMS
7776 #include <isl_multi_templ.c>
7777 #include <isl_multi_apply_set.c>
7778 #include <isl_multi_apply_union_set.c>
7779 #include <isl_multi_coalesce.c>
7780 #include <isl_multi_floor.c>
7781 #include <isl_multi_gist.c>
7782 #include <isl_multi_intersect.c>
7784 /* Construct a multiple union piecewise affine expression
7785 * in the given space with value zero in each of the output dimensions.
7787 * Since there is no canonical zero value for
7788 * a union piecewise affine expression, we can only construct
7789 * zero-dimensional "zero" value.
7791 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_zero(
7792 __isl_take isl_space
*space
)
7797 if (!isl_space_is_set(space
))
7798 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
7799 "expecting set space", goto error
);
7800 if (isl_space_dim(space
, isl_dim_out
) != 0)
7801 isl_die(isl_space_get_ctx(space
), isl_error_invalid
,
7802 "expecting 0D space", goto error
);
7804 return isl_multi_union_pw_aff_alloc(space
);
7806 isl_space_free(space
);
7810 /* Compute the sum of "mupa1" and "mupa2" on the union of their domains,
7811 * with the actual sum on the shared domain and
7812 * the defined expression on the symmetric difference of the domains.
7814 * We simply iterate over the elements in both arguments and
7815 * call isl_union_pw_aff_union_add on each of them.
7817 static __isl_give isl_multi_union_pw_aff
*
7818 isl_multi_union_pw_aff_union_add_aligned(
7819 __isl_take isl_multi_union_pw_aff
*mupa1
,
7820 __isl_take isl_multi_union_pw_aff
*mupa2
)
7822 return isl_multi_union_pw_aff_bin_op(mupa1
, mupa2
,
7823 &isl_union_pw_aff_union_add
);
7826 /* Compute the sum of "mupa1" and "mupa2" on the union of their domains,
7827 * with the actual sum on the shared domain and
7828 * the defined expression on the symmetric difference of the domains.
7830 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_union_add(
7831 __isl_take isl_multi_union_pw_aff
*mupa1
,
7832 __isl_take isl_multi_union_pw_aff
*mupa2
)
7834 return isl_multi_union_pw_aff_align_params_multi_multi_and(mupa1
, mupa2
,
7835 &isl_multi_union_pw_aff_union_add_aligned
);
7838 /* Construct and return a multi union piecewise affine expression
7839 * that is equal to the given multi affine expression.
7841 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_from_multi_aff(
7842 __isl_take isl_multi_aff
*ma
)
7844 isl_multi_pw_aff
*mpa
;
7846 mpa
= isl_multi_pw_aff_from_multi_aff(ma
);
7847 return isl_multi_union_pw_aff_from_multi_pw_aff(mpa
);
7850 /* Construct and return a multi union piecewise affine expression
7851 * that is equal to the given multi piecewise affine expression.
7853 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_from_multi_pw_aff(
7854 __isl_take isl_multi_pw_aff
*mpa
)
7858 isl_multi_union_pw_aff
*mupa
;
7863 space
= isl_multi_pw_aff_get_space(mpa
);
7864 space
= isl_space_range(space
);
7865 mupa
= isl_multi_union_pw_aff_alloc(space
);
7867 n
= isl_multi_pw_aff_dim(mpa
, isl_dim_out
);
7868 for (i
= 0; i
< n
; ++i
) {
7870 isl_union_pw_aff
*upa
;
7872 pa
= isl_multi_pw_aff_get_pw_aff(mpa
, i
);
7873 upa
= isl_union_pw_aff_from_pw_aff(pa
);
7874 mupa
= isl_multi_union_pw_aff_set_union_pw_aff(mupa
, i
, upa
);
7877 isl_multi_pw_aff_free(mpa
);
7882 /* Extract the range space of "pma" and assign it to *space.
7883 * If *space has already been set (through a previous call to this function),
7884 * then check that the range space is the same.
7886 static isl_stat
extract_space(__isl_take isl_pw_multi_aff
*pma
, void *user
)
7888 isl_space
**space
= user
;
7889 isl_space
*pma_space
;
7892 pma_space
= isl_space_range(isl_pw_multi_aff_get_space(pma
));
7893 isl_pw_multi_aff_free(pma
);
7896 return isl_stat_error
;
7902 equal
= isl_space_is_equal(pma_space
, *space
);
7903 isl_space_free(pma_space
);
7906 return isl_stat_error
;
7908 isl_die(isl_space_get_ctx(*space
), isl_error_invalid
,
7909 "range spaces not the same", return isl_stat_error
);
7913 /* Construct and return a multi union piecewise affine expression
7914 * that is equal to the given union piecewise multi affine expression.
7916 * In order to be able to perform the conversion, the input
7917 * needs to be non-empty and may only involve a single range space.
7919 __isl_give isl_multi_union_pw_aff
*
7920 isl_multi_union_pw_aff_from_union_pw_multi_aff(
7921 __isl_take isl_union_pw_multi_aff
*upma
)
7923 isl_space
*space
= NULL
;
7924 isl_multi_union_pw_aff
*mupa
;
7929 if (isl_union_pw_multi_aff_n_pw_multi_aff(upma
) == 0)
7930 isl_die(isl_union_pw_multi_aff_get_ctx(upma
), isl_error_invalid
,
7931 "cannot extract range space from empty input",
7933 if (isl_union_pw_multi_aff_foreach_pw_multi_aff(upma
, &extract_space
,
7940 n
= isl_space_dim(space
, isl_dim_set
);
7941 mupa
= isl_multi_union_pw_aff_alloc(space
);
7943 for (i
= 0; i
< n
; ++i
) {
7944 isl_union_pw_aff
*upa
;
7946 upa
= isl_union_pw_multi_aff_get_union_pw_aff(upma
, i
);
7947 mupa
= isl_multi_union_pw_aff_set_union_pw_aff(mupa
, i
, upa
);
7950 isl_union_pw_multi_aff_free(upma
);
7953 isl_space_free(space
);
7954 isl_union_pw_multi_aff_free(upma
);
7958 /* Try and create an isl_multi_union_pw_aff that is equivalent
7959 * to the given isl_union_map.
7960 * The isl_union_map is required to be single-valued in each space.
7961 * Moreover, it cannot be empty and all range spaces need to be the same.
7962 * Otherwise, an error is produced.
7964 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_from_union_map(
7965 __isl_take isl_union_map
*umap
)
7967 isl_union_pw_multi_aff
*upma
;
7969 upma
= isl_union_pw_multi_aff_from_union_map(umap
);
7970 return isl_multi_union_pw_aff_from_union_pw_multi_aff(upma
);
7973 /* Return a multiple union piecewise affine expression
7974 * that is equal to "mv" on "domain", assuming "domain" and "mv"
7975 * have been aligned.
7977 static __isl_give isl_multi_union_pw_aff
*
7978 isl_multi_union_pw_aff_multi_val_on_domain_aligned(
7979 __isl_take isl_union_set
*domain
, __isl_take isl_multi_val
*mv
)
7983 isl_multi_union_pw_aff
*mupa
;
7988 n
= isl_multi_val_dim(mv
, isl_dim_set
);
7989 space
= isl_multi_val_get_space(mv
);
7990 mupa
= isl_multi_union_pw_aff_alloc(space
);
7991 for (i
= 0; i
< n
; ++i
) {
7993 isl_union_pw_aff
*upa
;
7995 v
= isl_multi_val_get_val(mv
, i
);
7996 upa
= isl_union_pw_aff_val_on_domain(isl_union_set_copy(domain
),
7998 mupa
= isl_multi_union_pw_aff_set_union_pw_aff(mupa
, i
, upa
);
8001 isl_union_set_free(domain
);
8002 isl_multi_val_free(mv
);
8005 isl_union_set_free(domain
);
8006 isl_multi_val_free(mv
);
8010 /* Return a multiple union piecewise affine expression
8011 * that is equal to "mv" on "domain".
8013 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_multi_val_on_domain(
8014 __isl_take isl_union_set
*domain
, __isl_take isl_multi_val
*mv
)
8018 if (isl_space_match(domain
->dim
, isl_dim_param
,
8019 mv
->space
, isl_dim_param
))
8020 return isl_multi_union_pw_aff_multi_val_on_domain_aligned(
8022 domain
= isl_union_set_align_params(domain
,
8023 isl_multi_val_get_space(mv
));
8024 mv
= isl_multi_val_align_params(mv
, isl_union_set_get_space(domain
));
8025 return isl_multi_union_pw_aff_multi_val_on_domain_aligned(domain
, mv
);
8027 isl_union_set_free(domain
);
8028 isl_multi_val_free(mv
);
8032 /* Return a multiple union piecewise affine expression
8033 * that is equal to "ma" on "domain", assuming "domain" and "ma"
8034 * have been aligned.
8036 static __isl_give isl_multi_union_pw_aff
*
8037 isl_multi_union_pw_aff_multi_aff_on_domain_aligned(
8038 __isl_take isl_union_set
*domain
, __isl_take isl_multi_aff
*ma
)
8042 isl_multi_union_pw_aff
*mupa
;
8047 n
= isl_multi_aff_dim(ma
, isl_dim_set
);
8048 space
= isl_multi_aff_get_space(ma
);
8049 mupa
= isl_multi_union_pw_aff_alloc(space
);
8050 for (i
= 0; i
< n
; ++i
) {
8052 isl_union_pw_aff
*upa
;
8054 aff
= isl_multi_aff_get_aff(ma
, i
);
8055 upa
= isl_union_pw_aff_aff_on_domain(isl_union_set_copy(domain
),
8057 mupa
= isl_multi_union_pw_aff_set_union_pw_aff(mupa
, i
, upa
);
8060 isl_union_set_free(domain
);
8061 isl_multi_aff_free(ma
);
8064 isl_union_set_free(domain
);
8065 isl_multi_aff_free(ma
);
8069 /* Return a multiple union piecewise affine expression
8070 * that is equal to "ma" on "domain".
8072 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_multi_aff_on_domain(
8073 __isl_take isl_union_set
*domain
, __isl_take isl_multi_aff
*ma
)
8077 if (isl_space_match(domain
->dim
, isl_dim_param
,
8078 ma
->space
, isl_dim_param
))
8079 return isl_multi_union_pw_aff_multi_aff_on_domain_aligned(
8081 domain
= isl_union_set_align_params(domain
,
8082 isl_multi_aff_get_space(ma
));
8083 ma
= isl_multi_aff_align_params(ma
, isl_union_set_get_space(domain
));
8084 return isl_multi_union_pw_aff_multi_aff_on_domain_aligned(domain
, ma
);
8086 isl_union_set_free(domain
);
8087 isl_multi_aff_free(ma
);
8091 /* Return a union set containing those elements in the domains
8092 * of the elements of "mupa" where they are all zero.
8094 __isl_give isl_union_set
*isl_multi_union_pw_aff_zero_union_set(
8095 __isl_take isl_multi_union_pw_aff
*mupa
)
8098 isl_union_pw_aff
*upa
;
8099 isl_union_set
*zero
;
8104 n
= isl_multi_union_pw_aff_dim(mupa
, isl_dim_set
);
8106 isl_die(isl_multi_union_pw_aff_get_ctx(mupa
), isl_error_invalid
,
8107 "cannot determine zero set "
8108 "of zero-dimensional function", goto error
);
8110 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, 0);
8111 zero
= isl_union_pw_aff_zero_union_set(upa
);
8113 for (i
= 1; i
< n
; ++i
) {
8114 isl_union_set
*zero_i
;
8116 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, i
);
8117 zero_i
= isl_union_pw_aff_zero_union_set(upa
);
8119 zero
= isl_union_set_intersect(zero
, zero_i
);
8122 isl_multi_union_pw_aff_free(mupa
);
8125 isl_multi_union_pw_aff_free(mupa
);
8129 /* Construct a union map mapping the shared domain
8130 * of the union piecewise affine expressions to the range of "mupa"
8131 * with each dimension in the range equated to the
8132 * corresponding union piecewise affine expression.
8134 * The input cannot be zero-dimensional as there is
8135 * no way to extract a domain from a zero-dimensional isl_multi_union_pw_aff.
8137 __isl_give isl_union_map
*isl_union_map_from_multi_union_pw_aff(
8138 __isl_take isl_multi_union_pw_aff
*mupa
)
8142 isl_union_map
*umap
;
8143 isl_union_pw_aff
*upa
;
8148 n
= isl_multi_union_pw_aff_dim(mupa
, isl_dim_set
);
8150 isl_die(isl_multi_union_pw_aff_get_ctx(mupa
), isl_error_invalid
,
8151 "cannot determine domain of zero-dimensional "
8152 "isl_multi_union_pw_aff", goto error
);
8154 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, 0);
8155 umap
= isl_union_map_from_union_pw_aff(upa
);
8157 for (i
= 1; i
< n
; ++i
) {
8158 isl_union_map
*umap_i
;
8160 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, i
);
8161 umap_i
= isl_union_map_from_union_pw_aff(upa
);
8162 umap
= isl_union_map_flat_range_product(umap
, umap_i
);
8165 space
= isl_multi_union_pw_aff_get_space(mupa
);
8166 umap
= isl_union_map_reset_range_space(umap
, space
);
8168 isl_multi_union_pw_aff_free(mupa
);
8171 isl_multi_union_pw_aff_free(mupa
);
8175 /* Internal data structure for isl_union_pw_multi_aff_reset_range_space.
8176 * "range" is the space from which to set the range space.
8177 * "res" collects the results.
8179 struct isl_union_pw_multi_aff_reset_range_space_data
{
8181 isl_union_pw_multi_aff
*res
;
8184 /* Replace the range space of "pma" by the range space of data->range and
8185 * add the result to data->res.
8187 static isl_stat
reset_range_space(__isl_take isl_pw_multi_aff
*pma
, void *user
)
8189 struct isl_union_pw_multi_aff_reset_range_space_data
*data
= user
;
8192 space
= isl_pw_multi_aff_get_space(pma
);
8193 space
= isl_space_domain(space
);
8194 space
= isl_space_extend_domain_with_range(space
,
8195 isl_space_copy(data
->range
));
8196 pma
= isl_pw_multi_aff_reset_space(pma
, space
);
8197 data
->res
= isl_union_pw_multi_aff_add_pw_multi_aff(data
->res
, pma
);
8199 return data
->res
? isl_stat_ok
: isl_stat_error
;
8202 /* Replace the range space of all the piecewise affine expressions in "upma" by
8203 * the range space of "space".
8205 * This assumes that all these expressions have the same output dimension.
8207 * Since the spaces of the expressions change, so do their hash values.
8208 * We therefore need to create a new isl_union_pw_multi_aff.
8209 * Note that the hash value is currently computed based on the entire
8210 * space even though there can only be a single expression with a given
8213 static __isl_give isl_union_pw_multi_aff
*
8214 isl_union_pw_multi_aff_reset_range_space(
8215 __isl_take isl_union_pw_multi_aff
*upma
, __isl_take isl_space
*space
)
8217 struct isl_union_pw_multi_aff_reset_range_space_data data
= { space
};
8218 isl_space
*space_upma
;
8220 space_upma
= isl_union_pw_multi_aff_get_space(upma
);
8221 data
.res
= isl_union_pw_multi_aff_empty(space_upma
);
8222 if (isl_union_pw_multi_aff_foreach_pw_multi_aff(upma
,
8223 &reset_range_space
, &data
) < 0)
8224 data
.res
= isl_union_pw_multi_aff_free(data
.res
);
8226 isl_space_free(space
);
8227 isl_union_pw_multi_aff_free(upma
);
8231 /* Construct and return a union piecewise multi affine expression
8232 * that is equal to the given multi union piecewise affine expression.
8234 * In order to be able to perform the conversion, the input
8235 * needs to have a least one output dimension.
8237 __isl_give isl_union_pw_multi_aff
*
8238 isl_union_pw_multi_aff_from_multi_union_pw_aff(
8239 __isl_take isl_multi_union_pw_aff
*mupa
)
8243 isl_union_pw_multi_aff
*upma
;
8244 isl_union_pw_aff
*upa
;
8249 n
= isl_multi_union_pw_aff_dim(mupa
, isl_dim_set
);
8251 isl_die(isl_multi_union_pw_aff_get_ctx(mupa
), isl_error_invalid
,
8252 "cannot determine domain of zero-dimensional "
8253 "isl_multi_union_pw_aff", goto error
);
8255 space
= isl_multi_union_pw_aff_get_space(mupa
);
8256 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, 0);
8257 upma
= isl_union_pw_multi_aff_from_union_pw_aff(upa
);
8259 for (i
= 1; i
< n
; ++i
) {
8260 isl_union_pw_multi_aff
*upma_i
;
8262 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, i
);
8263 upma_i
= isl_union_pw_multi_aff_from_union_pw_aff(upa
);
8264 upma
= isl_union_pw_multi_aff_flat_range_product(upma
, upma_i
);
8267 upma
= isl_union_pw_multi_aff_reset_range_space(upma
, space
);
8269 isl_multi_union_pw_aff_free(mupa
);
8272 isl_multi_union_pw_aff_free(mupa
);
8276 /* Intersect the range of "mupa" with "range".
8277 * That is, keep only those domain elements that have a function value
8280 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_intersect_range(
8281 __isl_take isl_multi_union_pw_aff
*mupa
, __isl_take isl_set
*range
)
8283 isl_union_pw_multi_aff
*upma
;
8284 isl_union_set
*domain
;
8289 if (!mupa
|| !range
)
8292 space
= isl_set_get_space(range
);
8293 match
= isl_space_tuple_is_equal(mupa
->space
, isl_dim_set
,
8294 space
, isl_dim_set
);
8295 isl_space_free(space
);
8299 isl_die(isl_multi_union_pw_aff_get_ctx(mupa
), isl_error_invalid
,
8300 "space don't match", goto error
);
8301 n
= isl_multi_union_pw_aff_dim(mupa
, isl_dim_set
);
8303 isl_die(isl_multi_union_pw_aff_get_ctx(mupa
), isl_error_invalid
,
8304 "cannot intersect range of zero-dimensional "
8305 "isl_multi_union_pw_aff", goto error
);
8307 upma
= isl_union_pw_multi_aff_from_multi_union_pw_aff(
8308 isl_multi_union_pw_aff_copy(mupa
));
8309 domain
= isl_union_set_from_set(range
);
8310 domain
= isl_union_set_preimage_union_pw_multi_aff(domain
, upma
);
8311 mupa
= isl_multi_union_pw_aff_intersect_domain(mupa
, domain
);
8315 isl_multi_union_pw_aff_free(mupa
);
8316 isl_set_free(range
);
8320 /* Return the shared domain of the elements of "mupa".
8322 __isl_give isl_union_set
*isl_multi_union_pw_aff_domain(
8323 __isl_take isl_multi_union_pw_aff
*mupa
)
8326 isl_union_pw_aff
*upa
;
8332 n
= isl_multi_union_pw_aff_dim(mupa
, isl_dim_set
);
8334 isl_die(isl_multi_union_pw_aff_get_ctx(mupa
), isl_error_invalid
,
8335 "cannot determine domain", goto error
);
8337 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, 0);
8338 dom
= isl_union_pw_aff_domain(upa
);
8339 for (i
= 1; i
< n
; ++i
) {
8340 isl_union_set
*dom_i
;
8342 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, i
);
8343 dom_i
= isl_union_pw_aff_domain(upa
);
8344 dom
= isl_union_set_intersect(dom
, dom_i
);
8347 isl_multi_union_pw_aff_free(mupa
);
8350 isl_multi_union_pw_aff_free(mupa
);
8354 /* Apply "aff" to "mupa". The space of "mupa" is equal to the domain of "aff".
8355 * In particular, the spaces have been aligned.
8356 * The result is defined over the shared domain of the elements of "mupa"
8358 * We first extract the parametric constant part of "aff" and
8359 * define that over the shared domain.
8360 * Then we iterate over all input dimensions of "aff" and add the corresponding
8361 * multiples of the elements of "mupa".
8362 * Finally, we consider the integer divisions, calling the function
8363 * recursively to obtain an isl_union_pw_aff corresponding to the
8364 * integer division argument.
8366 static __isl_give isl_union_pw_aff
*multi_union_pw_aff_apply_aff(
8367 __isl_take isl_multi_union_pw_aff
*mupa
, __isl_take isl_aff
*aff
)
8370 isl_union_pw_aff
*upa
;
8371 isl_union_set
*uset
;
8375 n_in
= isl_aff_dim(aff
, isl_dim_in
);
8376 n_div
= isl_aff_dim(aff
, isl_dim_div
);
8378 uset
= isl_multi_union_pw_aff_domain(isl_multi_union_pw_aff_copy(mupa
));
8379 cst
= isl_aff_copy(aff
);
8380 cst
= isl_aff_drop_dims(cst
, isl_dim_div
, 0, n_div
);
8381 cst
= isl_aff_drop_dims(cst
, isl_dim_in
, 0, n_in
);
8382 cst
= isl_aff_project_domain_on_params(cst
);
8383 upa
= isl_union_pw_aff_aff_on_domain(uset
, cst
);
8385 for (i
= 0; i
< n_in
; ++i
) {
8386 isl_union_pw_aff
*upa_i
;
8388 if (!isl_aff_involves_dims(aff
, isl_dim_in
, i
, 1))
8390 v
= isl_aff_get_coefficient_val(aff
, isl_dim_in
, i
);
8391 upa_i
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, i
);
8392 upa_i
= isl_union_pw_aff_scale_val(upa_i
, v
);
8393 upa
= isl_union_pw_aff_add(upa
, upa_i
);
8396 for (i
= 0; i
< n_div
; ++i
) {
8398 isl_union_pw_aff
*upa_i
;
8400 if (!isl_aff_involves_dims(aff
, isl_dim_div
, i
, 1))
8402 div
= isl_aff_get_div(aff
, i
);
8403 upa_i
= multi_union_pw_aff_apply_aff(
8404 isl_multi_union_pw_aff_copy(mupa
), div
);
8405 upa_i
= isl_union_pw_aff_floor(upa_i
);
8406 v
= isl_aff_get_coefficient_val(aff
, isl_dim_div
, i
);
8407 upa_i
= isl_union_pw_aff_scale_val(upa_i
, v
);
8408 upa
= isl_union_pw_aff_add(upa
, upa_i
);
8411 isl_multi_union_pw_aff_free(mupa
);
8417 /* Apply "aff" to "mupa". The space of "mupa" needs to be compatible
8418 * with the domain of "aff".
8419 * Furthermore, the dimension of this space needs to be greater than zero.
8420 * The result is defined over the shared domain of the elements of "mupa"
8422 * We perform these checks and then hand over control to
8423 * multi_union_pw_aff_apply_aff.
8425 __isl_give isl_union_pw_aff
*isl_multi_union_pw_aff_apply_aff(
8426 __isl_take isl_multi_union_pw_aff
*mupa
, __isl_take isl_aff
*aff
)
8428 isl_space
*space1
, *space2
;
8431 mupa
= isl_multi_union_pw_aff_align_params(mupa
,
8432 isl_aff_get_space(aff
));
8433 aff
= isl_aff_align_params(aff
, isl_multi_union_pw_aff_get_space(mupa
));
8437 space1
= isl_multi_union_pw_aff_get_space(mupa
);
8438 space2
= isl_aff_get_domain_space(aff
);
8439 equal
= isl_space_is_equal(space1
, space2
);
8440 isl_space_free(space1
);
8441 isl_space_free(space2
);
8445 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
8446 "spaces don't match", goto error
);
8447 if (isl_aff_dim(aff
, isl_dim_in
) == 0)
8448 isl_die(isl_aff_get_ctx(aff
), isl_error_invalid
,
8449 "cannot determine domains", goto error
);
8451 return multi_union_pw_aff_apply_aff(mupa
, aff
);
8453 isl_multi_union_pw_aff_free(mupa
);
8458 /* Apply "ma" to "mupa". The space of "mupa" needs to be compatible
8459 * with the domain of "ma".
8460 * Furthermore, the dimension of this space needs to be greater than zero,
8461 * unless the dimension of the target space of "ma" is also zero.
8462 * The result is defined over the shared domain of the elements of "mupa"
8464 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_apply_multi_aff(
8465 __isl_take isl_multi_union_pw_aff
*mupa
, __isl_take isl_multi_aff
*ma
)
8467 isl_space
*space1
, *space2
;
8468 isl_multi_union_pw_aff
*res
;
8472 mupa
= isl_multi_union_pw_aff_align_params(mupa
,
8473 isl_multi_aff_get_space(ma
));
8474 ma
= isl_multi_aff_align_params(ma
,
8475 isl_multi_union_pw_aff_get_space(mupa
));
8479 space1
= isl_multi_union_pw_aff_get_space(mupa
);
8480 space2
= isl_multi_aff_get_domain_space(ma
);
8481 equal
= isl_space_is_equal(space1
, space2
);
8482 isl_space_free(space1
);
8483 isl_space_free(space2
);
8487 isl_die(isl_multi_aff_get_ctx(ma
), isl_error_invalid
,
8488 "spaces don't match", goto error
);
8489 n_out
= isl_multi_aff_dim(ma
, isl_dim_out
);
8490 if (isl_multi_aff_dim(ma
, isl_dim_in
) == 0 && n_out
!= 0)
8491 isl_die(isl_multi_aff_get_ctx(ma
), isl_error_invalid
,
8492 "cannot determine domains", goto error
);
8494 space1
= isl_space_range(isl_multi_aff_get_space(ma
));
8495 res
= isl_multi_union_pw_aff_alloc(space1
);
8497 for (i
= 0; i
< n_out
; ++i
) {
8499 isl_union_pw_aff
*upa
;
8501 aff
= isl_multi_aff_get_aff(ma
, i
);
8502 upa
= multi_union_pw_aff_apply_aff(
8503 isl_multi_union_pw_aff_copy(mupa
), aff
);
8504 res
= isl_multi_union_pw_aff_set_union_pw_aff(res
, i
, upa
);
8507 isl_multi_aff_free(ma
);
8508 isl_multi_union_pw_aff_free(mupa
);
8511 isl_multi_union_pw_aff_free(mupa
);
8512 isl_multi_aff_free(ma
);
8516 /* Apply "pa" to "mupa". The space of "mupa" needs to be compatible
8517 * with the domain of "pa".
8518 * Furthermore, the dimension of this space needs to be greater than zero.
8519 * The result is defined over the shared domain of the elements of "mupa"
8521 __isl_give isl_union_pw_aff
*isl_multi_union_pw_aff_apply_pw_aff(
8522 __isl_take isl_multi_union_pw_aff
*mupa
, __isl_take isl_pw_aff
*pa
)
8526 isl_space
*space
, *space2
;
8527 isl_union_pw_aff
*upa
;
8529 mupa
= isl_multi_union_pw_aff_align_params(mupa
,
8530 isl_pw_aff_get_space(pa
));
8531 pa
= isl_pw_aff_align_params(pa
,
8532 isl_multi_union_pw_aff_get_space(mupa
));
8536 space
= isl_multi_union_pw_aff_get_space(mupa
);
8537 space2
= isl_pw_aff_get_domain_space(pa
);
8538 equal
= isl_space_is_equal(space
, space2
);
8539 isl_space_free(space
);
8540 isl_space_free(space2
);
8544 isl_die(isl_pw_aff_get_ctx(pa
), isl_error_invalid
,
8545 "spaces don't match", goto error
);
8546 if (isl_pw_aff_dim(pa
, isl_dim_in
) == 0)
8547 isl_die(isl_pw_aff_get_ctx(pa
), isl_error_invalid
,
8548 "cannot determine domains", goto error
);
8550 space
= isl_space_params(isl_multi_union_pw_aff_get_space(mupa
));
8551 upa
= isl_union_pw_aff_empty(space
);
8553 for (i
= 0; i
< pa
->n
; ++i
) {
8556 isl_multi_union_pw_aff
*mupa_i
;
8557 isl_union_pw_aff
*upa_i
;
8559 mupa_i
= isl_multi_union_pw_aff_copy(mupa
);
8560 domain
= isl_set_copy(pa
->p
[i
].set
);
8561 mupa_i
= isl_multi_union_pw_aff_intersect_range(mupa_i
, domain
);
8562 aff
= isl_aff_copy(pa
->p
[i
].aff
);
8563 upa_i
= multi_union_pw_aff_apply_aff(mupa_i
, aff
);
8564 upa
= isl_union_pw_aff_union_add(upa
, upa_i
);
8567 isl_multi_union_pw_aff_free(mupa
);
8568 isl_pw_aff_free(pa
);
8571 isl_multi_union_pw_aff_free(mupa
);
8572 isl_pw_aff_free(pa
);
8576 /* Apply "pma" to "mupa". The space of "mupa" needs to be compatible
8577 * with the domain of "pma".
8578 * Furthermore, the dimension of this space needs to be greater than zero,
8579 * unless the dimension of the target space of "pma" is also zero.
8580 * The result is defined over the shared domain of the elements of "mupa"
8582 __isl_give isl_multi_union_pw_aff
*isl_multi_union_pw_aff_apply_pw_multi_aff(
8583 __isl_take isl_multi_union_pw_aff
*mupa
,
8584 __isl_take isl_pw_multi_aff
*pma
)
8586 isl_space
*space1
, *space2
;
8587 isl_multi_union_pw_aff
*res
;
8591 mupa
= isl_multi_union_pw_aff_align_params(mupa
,
8592 isl_pw_multi_aff_get_space(pma
));
8593 pma
= isl_pw_multi_aff_align_params(pma
,
8594 isl_multi_union_pw_aff_get_space(mupa
));
8598 space1
= isl_multi_union_pw_aff_get_space(mupa
);
8599 space2
= isl_pw_multi_aff_get_domain_space(pma
);
8600 equal
= isl_space_is_equal(space1
, space2
);
8601 isl_space_free(space1
);
8602 isl_space_free(space2
);
8606 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
8607 "spaces don't match", goto error
);
8608 n_out
= isl_pw_multi_aff_dim(pma
, isl_dim_out
);
8609 if (isl_pw_multi_aff_dim(pma
, isl_dim_in
) == 0 && n_out
!= 0)
8610 isl_die(isl_pw_multi_aff_get_ctx(pma
), isl_error_invalid
,
8611 "cannot determine domains", goto error
);
8613 space1
= isl_space_range(isl_pw_multi_aff_get_space(pma
));
8614 res
= isl_multi_union_pw_aff_alloc(space1
);
8616 for (i
= 0; i
< n_out
; ++i
) {
8618 isl_union_pw_aff
*upa
;
8620 pa
= isl_pw_multi_aff_get_pw_aff(pma
, i
);
8621 upa
= isl_multi_union_pw_aff_apply_pw_aff(
8622 isl_multi_union_pw_aff_copy(mupa
), pa
);
8623 res
= isl_multi_union_pw_aff_set_union_pw_aff(res
, i
, upa
);
8626 isl_pw_multi_aff_free(pma
);
8627 isl_multi_union_pw_aff_free(mupa
);
8630 isl_multi_union_pw_aff_free(mupa
);
8631 isl_pw_multi_aff_free(pma
);
8635 /* Compute the pullback of "mupa" by the function represented by "upma".
8636 * In other words, plug in "upma" in "mupa". The result contains
8637 * expressions defined over the domain space of "upma".
8639 * Run over all elements of "mupa" and plug in "upma" in each of them.
8641 __isl_give isl_multi_union_pw_aff
*
8642 isl_multi_union_pw_aff_pullback_union_pw_multi_aff(
8643 __isl_take isl_multi_union_pw_aff
*mupa
,
8644 __isl_take isl_union_pw_multi_aff
*upma
)
8648 mupa
= isl_multi_union_pw_aff_align_params(mupa
,
8649 isl_union_pw_multi_aff_get_space(upma
));
8650 upma
= isl_union_pw_multi_aff_align_params(upma
,
8651 isl_multi_union_pw_aff_get_space(mupa
));
8655 n
= isl_multi_union_pw_aff_dim(mupa
, isl_dim_set
);
8656 for (i
= 0; i
< n
; ++i
) {
8657 isl_union_pw_aff
*upa
;
8659 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, i
);
8660 upa
= isl_union_pw_aff_pullback_union_pw_multi_aff(upa
,
8661 isl_union_pw_multi_aff_copy(upma
));
8662 mupa
= isl_multi_union_pw_aff_set_union_pw_aff(mupa
, i
, upa
);
8665 isl_union_pw_multi_aff_free(upma
);
8668 isl_multi_union_pw_aff_free(mupa
);
8669 isl_union_pw_multi_aff_free(upma
);
8673 /* Extract the sequence of elements in "mupa" with domain space "space"
8674 * (ignoring parameters).
8676 * For the elements of "mupa" that are not defined on the specified space,
8677 * the corresponding element in the result is empty.
8679 __isl_give isl_multi_pw_aff
*isl_multi_union_pw_aff_extract_multi_pw_aff(
8680 __isl_keep isl_multi_union_pw_aff
*mupa
, __isl_take isl_space
*space
)
8683 isl_space
*space_mpa
= NULL
;
8684 isl_multi_pw_aff
*mpa
;
8686 if (!mupa
|| !space
)
8689 space_mpa
= isl_multi_union_pw_aff_get_space(mupa
);
8690 if (!isl_space_match(space_mpa
, isl_dim_param
, space
, isl_dim_param
)) {
8691 space
= isl_space_drop_dims(space
, isl_dim_param
,
8692 0, isl_space_dim(space
, isl_dim_param
));
8693 space
= isl_space_align_params(space
,
8694 isl_space_copy(space_mpa
));
8698 space_mpa
= isl_space_map_from_domain_and_range(isl_space_copy(space
),
8700 mpa
= isl_multi_pw_aff_alloc(space_mpa
);
8702 space
= isl_space_from_domain(space
);
8703 space
= isl_space_add_dims(space
, isl_dim_out
, 1);
8704 n
= isl_multi_union_pw_aff_dim(mupa
, isl_dim_set
);
8705 for (i
= 0; i
< n
; ++i
) {
8706 isl_union_pw_aff
*upa
;
8709 upa
= isl_multi_union_pw_aff_get_union_pw_aff(mupa
, i
);
8710 pa
= isl_union_pw_aff_extract_pw_aff(upa
,
8711 isl_space_copy(space
));
8712 mpa
= isl_multi_pw_aff_set_pw_aff(mpa
, i
, pa
);
8713 isl_union_pw_aff_free(upa
);
8716 isl_space_free(space
);
8719 isl_space_free(space_mpa
);
8720 isl_space_free(space
);