2 * Copyright 2010 INRIA Saclay
4 * Use of this software is governed by the GNU LGPLv2.1 license
6 * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
7 * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
11 #include <isl_ctx_private.h>
12 #include <isl_map_private.h>
13 #include <isl_bound.h>
14 #include <isl_bernstein.h>
15 #include <isl_range.h>
16 #include <isl_polynomial_private.h>
18 /* Compute a bound on the polynomial defined over the parametric polytope
19 * using either range propagation or bernstein expansion and
20 * store the result in bound->pwf and bound->pwf_tight.
21 * Since bernstein expansion requires bounded domains, we apply
22 * range propagation on unbounded domains. Otherwise, we respect the choice
25 static int compressed_guarded_poly_bound(__isl_take isl_basic_set
*bset
,
26 __isl_take isl_qpolynomial
*poly
, void *user
)
28 struct isl_bound
*bound
= (struct isl_bound
*)user
;
34 if (bset
->ctx
->opt
->bound
== ISL_BOUND_RANGE
)
35 return isl_qpolynomial_bound_on_domain_range(bset
, poly
, bound
);
37 bounded
= isl_basic_set_is_bounded(bset
);
41 return isl_qpolynomial_bound_on_domain_bernstein(bset
, poly
, bound
);
43 return isl_qpolynomial_bound_on_domain_range(bset
, poly
, bound
);
45 isl_basic_set_free(bset
);
46 isl_qpolynomial_free(poly
);
50 static int unwrapped_guarded_poly_bound(__isl_take isl_basic_set
*bset
,
51 __isl_take isl_qpolynomial
*poly
, void *user
)
53 struct isl_bound
*bound
= (struct isl_bound
*)user
;
54 isl_pw_qpolynomial_fold
*top_pwf
;
55 isl_pw_qpolynomial_fold
*top_pwf_tight
;
60 bset
= isl_basic_set_detect_equalities(bset
);
66 return compressed_guarded_poly_bound(bset
, poly
, user
);
68 morph
= isl_basic_set_full_compression(bset
);
70 bset
= isl_morph_basic_set(isl_morph_copy(morph
), bset
);
71 poly
= isl_qpolynomial_morph(poly
, isl_morph_copy(morph
));
73 dim
= isl_morph_get_ran_space(morph
);
74 dim
= isl_space_params(dim
);
77 top_pwf_tight
= bound
->pwf_tight
;
79 bound
->pwf
= isl_pw_qpolynomial_fold_zero(isl_space_copy(dim
),
81 bound
->pwf_tight
= isl_pw_qpolynomial_fold_zero(dim
, bound
->type
);
83 r
= compressed_guarded_poly_bound(bset
, poly
, user
);
85 morph
= isl_morph_dom_params(morph
);
86 morph
= isl_morph_ran_params(morph
);
87 morph
= isl_morph_inverse(morph
);
89 bound
->pwf
= isl_pw_qpolynomial_fold_morph(bound
->pwf
,
90 isl_morph_copy(morph
));
91 bound
->pwf_tight
= isl_pw_qpolynomial_fold_morph(bound
->pwf_tight
, morph
);
93 bound
->pwf
= isl_pw_qpolynomial_fold_fold(top_pwf
, bound
->pwf
);
94 bound
->pwf_tight
= isl_pw_qpolynomial_fold_fold(top_pwf_tight
,
99 isl_basic_set_free(bset
);
100 isl_qpolynomial_free(poly
);
104 static int guarded_poly_bound(__isl_take isl_basic_set
*bset
,
105 __isl_take isl_qpolynomial
*poly
, void *user
)
107 struct isl_bound
*bound
= (struct isl_bound
*)user
;
109 isl_pw_qpolynomial_fold
*top_pwf
;
110 isl_pw_qpolynomial_fold
*top_pwf_tight
;
115 if (!bound
->wrapping
)
116 return unwrapped_guarded_poly_bound(bset
, poly
, user
);
118 nparam
= isl_space_dim(bound
->dim
, isl_dim_param
);
119 n_in
= isl_space_dim(bound
->dim
, isl_dim_set
);
121 bset
= isl_basic_set_move_dims(bset
, isl_dim_param
, nparam
,
122 isl_dim_set
, 0, n_in
);
123 poly
= isl_qpolynomial_move_dims(poly
, isl_dim_param
, nparam
,
124 isl_dim_set
, 0, n_in
);
126 dim
= isl_basic_set_get_space(bset
);
127 dim
= isl_space_params(dim
);
129 top_pwf
= bound
->pwf
;
130 top_pwf_tight
= bound
->pwf_tight
;
132 bound
->pwf
= isl_pw_qpolynomial_fold_zero(isl_space_copy(dim
),
134 bound
->pwf_tight
= isl_pw_qpolynomial_fold_zero(dim
, bound
->type
);
136 r
= unwrapped_guarded_poly_bound(bset
, poly
, user
);
138 bound
->pwf
= isl_pw_qpolynomial_fold_reset_space(bound
->pwf
,
139 isl_space_copy(bound
->dim
));
140 bound
->pwf_tight
= isl_pw_qpolynomial_fold_reset_space(bound
->pwf_tight
,
141 isl_space_copy(bound
->dim
));
143 bound
->pwf
= isl_pw_qpolynomial_fold_fold(top_pwf
, bound
->pwf
);
144 bound
->pwf_tight
= isl_pw_qpolynomial_fold_fold(top_pwf_tight
,
150 static int guarded_qp(__isl_take isl_qpolynomial
*qp
, void *user
)
152 struct isl_bound
*bound
= (struct isl_bound
*)user
;
155 r
= isl_qpolynomial_as_polynomial_on_domain(qp
, bound
->bset
,
156 &guarded_poly_bound
, user
);
157 isl_qpolynomial_free(qp
);
161 static int basic_guarded_fold(__isl_take isl_basic_set
*bset
, void *user
)
163 struct isl_bound
*bound
= (struct isl_bound
*)user
;
167 r
= isl_qpolynomial_fold_foreach_qpolynomial(bound
->fold
,
169 isl_basic_set_free(bset
);
173 static int guarded_fold(__isl_take isl_set
*set
,
174 __isl_take isl_qpolynomial_fold
*fold
, void *user
)
176 struct isl_bound
*bound
= (struct isl_bound
*)user
;
181 set
= isl_set_make_disjoint(set
);
184 bound
->type
= isl_qpolynomial_fold_get_type(fold
);
186 if (isl_set_foreach_basic_set(set
, &basic_guarded_fold
, bound
) < 0)
190 isl_qpolynomial_fold_free(fold
);
195 isl_qpolynomial_fold_free(fold
);
199 __isl_give isl_pw_qpolynomial_fold
*isl_pw_qpolynomial_fold_bound(
200 __isl_take isl_pw_qpolynomial_fold
*pwf
, int *tight
)
203 struct isl_bound bound
;
209 bound
.dim
= isl_pw_qpolynomial_fold_get_space(pwf
);
211 bound
.wrapping
= isl_space_is_wrapping(bound
.dim
);
213 bound
.dim
= isl_space_unwrap(bound
.dim
);
214 nvar
= isl_space_dim(bound
.dim
, isl_dim_out
);
215 bound
.dim
= isl_space_domain(bound
.dim
);
220 return isl_pw_qpolynomial_fold_reset_space(pwf
, bound
.dim
);
223 if (isl_pw_qpolynomial_fold_is_zero(pwf
)) {
224 enum isl_fold type
= pwf
->type
;
225 isl_pw_qpolynomial_fold_free(pwf
);
228 return isl_pw_qpolynomial_fold_zero(bound
.dim
, type
);
231 bound
.pwf
= isl_pw_qpolynomial_fold_zero(isl_space_copy(bound
.dim
),
233 bound
.pwf_tight
= isl_pw_qpolynomial_fold_zero(isl_space_copy(bound
.dim
),
235 bound
.check_tight
= !!tight
;
237 if (isl_pw_qpolynomial_fold_foreach_lifted_piece(pwf
,
238 guarded_fold
, &bound
) < 0)
241 covers
= isl_pw_qpolynomial_fold_covers(bound
.pwf_tight
, bound
.pwf
);
248 isl_space_free(bound
.dim
);
249 isl_pw_qpolynomial_fold_free(pwf
);
252 isl_pw_qpolynomial_fold_free(bound
.pwf
);
253 return bound
.pwf_tight
;
256 bound
.pwf
= isl_pw_qpolynomial_fold_fold(bound
.pwf
, bound
.pwf_tight
);
260 isl_pw_qpolynomial_fold_free(bound
.pwf_tight
);
261 isl_pw_qpolynomial_fold_free(bound
.pwf
);
262 isl_pw_qpolynomial_fold_free(pwf
);
263 isl_space_free(bound
.dim
);
267 __isl_give isl_pw_qpolynomial_fold
*isl_pw_qpolynomial_bound(
268 __isl_take isl_pw_qpolynomial
*pwqp
, enum isl_fold type
, int *tight
)
270 isl_pw_qpolynomial_fold
*pwf
;
272 pwf
= isl_pw_qpolynomial_fold_from_pw_qpolynomial(type
, pwqp
);
273 return isl_pw_qpolynomial_fold_bound(pwf
, tight
);
276 struct isl_union_bound_data
{
279 isl_union_pw_qpolynomial_fold
*res
;
282 static int bound_pw(__isl_take isl_pw_qpolynomial
*pwqp
, void *user
)
284 struct isl_union_bound_data
*data
= user
;
285 isl_pw_qpolynomial_fold
*pwf
;
287 pwf
= isl_pw_qpolynomial_bound(pwqp
, data
->type
,
288 data
->tight
? &data
->tight
: NULL
);
289 data
->res
= isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
295 __isl_give isl_union_pw_qpolynomial_fold
*isl_union_pw_qpolynomial_bound(
296 __isl_take isl_union_pw_qpolynomial
*upwqp
,
297 enum isl_fold type
, int *tight
)
300 struct isl_union_bound_data data
= { type
, 1, NULL
};
308 dim
= isl_union_pw_qpolynomial_get_space(upwqp
);
309 data
.res
= isl_union_pw_qpolynomial_fold_zero(dim
, type
);
310 if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp
,
311 &bound_pw
, &data
) < 0)
314 isl_union_pw_qpolynomial_free(upwqp
);
320 isl_union_pw_qpolynomial_free(upwqp
);
321 isl_union_pw_qpolynomial_fold_free(data
.res
);