isl_bound.c

   1 /*
   2  * Copyright 2010      INRIA Saclay
   3  *
   4  * Use of this software is governed by the MIT license
   5  *
   6  * Written by Sven Verdoolaege, INRIA Saclay - Ile-de-France,
   7  * Parc Club Orsay Universite, ZAC des vignes, 4 rue Jacques Monod,
   8  * 91893 Orsay, France
   9  */
  10
  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>
  17 #include <isl_options_private.h>
  18
  19 /* Compute a bound on the polynomial defined over the parametric polytope
  20  * using either range propagation or bernstein expansion and
  21  * store the result in bound->pwf and bound->pwf_tight.
  22  * Since bernstein expansion requires bounded domains, we apply
  23  * range propagation on unbounded domains.  Otherwise, we respect the choice
  24  * of the user.
  25  */
  26 static int compressed_guarded_poly_bound(__isl_take isl_basic_set *bset,
  27         __isl_take isl_qpolynomial *poly, void *user)
  28 {
  29         struct isl_bound *bound = (struct isl_bound *)user;
  30         int bounded;
  31
  32         if (!bset || !poly)
  33                 goto error;
  34
  35         if (bset->ctx->opt->bound == ISL_BOUND_RANGE)
  36                 return isl_qpolynomial_bound_on_domain_range(bset, poly, bound);
  37
  38         bounded = isl_basic_set_is_bounded(bset);
  39         if (bounded < 0)
  40                 goto error;
  41         if (bounded)
  42                 return isl_qpolynomial_bound_on_domain_bernstein(bset, poly, bound);
  43         else
  44                 return isl_qpolynomial_bound_on_domain_range(bset, poly, bound);
  45 error:
  46         isl_basic_set_free(bset);
  47         isl_qpolynomial_free(poly);
  48         return -1;
  49 }
  50
  51 static int unwrapped_guarded_poly_bound(__isl_take isl_basic_set *bset,
  52         __isl_take isl_qpolynomial *poly, void *user)
  53 {
  54         struct isl_bound *bound = (struct isl_bound *)user;
  55         isl_pw_qpolynomial_fold *top_pwf;
  56         isl_pw_qpolynomial_fold *top_pwf_tight;
  57         isl_space *dim;
  58         isl_morph *morph;
  59         int r;
  60
  61         bset = isl_basic_set_detect_equalities(bset);
  62
  63         if (!bset)
  64                 goto error;
  65
  66         if (bset->n_eq == 0)
  67                 return compressed_guarded_poly_bound(bset, poly, user);
  68
  69         morph = isl_basic_set_full_compression(bset);
  70
  71         bset = isl_morph_basic_set(isl_morph_copy(morph), bset);
  72         poly = isl_qpolynomial_morph_domain(poly, isl_morph_copy(morph));
  73
  74         dim = isl_morph_get_ran_space(morph);
  75         dim = isl_space_params(dim);
  76
  77         top_pwf = bound->pwf;
  78         top_pwf_tight = bound->pwf_tight;
  79
  80         dim = isl_space_from_domain(dim);
  81         dim = isl_space_add_dims(dim, isl_dim_out, 1);
  82         bound->pwf = isl_pw_qpolynomial_fold_zero(isl_space_copy(dim),
  83                                                   bound->type);
  84         bound->pwf_tight = isl_pw_qpolynomial_fold_zero(dim, bound->type);
  85
  86         r = compressed_guarded_poly_bound(bset, poly, user);
  87
  88         morph = isl_morph_dom_params(morph);
  89         morph = isl_morph_ran_params(morph);
  90         morph = isl_morph_inverse(morph);
  91
  92         bound->pwf = isl_pw_qpolynomial_fold_morph_domain(bound->pwf,
  93                                                         isl_morph_copy(morph));
  94         bound->pwf_tight = isl_pw_qpolynomial_fold_morph_domain(
  95                                                 bound->pwf_tight, morph);
  96
  97         bound->pwf = isl_pw_qpolynomial_fold_fold(top_pwf, bound->pwf);
  98         bound->pwf_tight = isl_pw_qpolynomial_fold_fold(top_pwf_tight,
  99                                                         bound->pwf_tight);
 100
 101         return r;
 102 error:
 103         isl_basic_set_free(bset);
 104         isl_qpolynomial_free(poly);
 105         return -1;
 106 }
 107
 108 static int guarded_poly_bound(__isl_take isl_basic_set *bset,
 109         __isl_take isl_qpolynomial *poly, void *user)
 110 {
 111         struct isl_bound *bound = (struct isl_bound *)user;
 112         isl_space *dim;
 113         isl_pw_qpolynomial_fold *top_pwf;
 114         isl_pw_qpolynomial_fold *top_pwf_tight;
 115         int nparam;
 116         int n_in;
 117         int r;
 118
 119         if (!bound->wrapping)
 120                 return unwrapped_guarded_poly_bound(bset, poly, user);
 121
 122         nparam = isl_space_dim(bound->dim, isl_dim_param);
 123         n_in = isl_space_dim(bound->dim, isl_dim_in);
 124
 125         bset = isl_basic_set_move_dims(bset, isl_dim_param, nparam,
 126                                         isl_dim_set, 0, n_in);
 127         poly = isl_qpolynomial_move_dims(poly, isl_dim_param, nparam,
 128                                         isl_dim_in, 0, n_in);
 129
 130         dim = isl_basic_set_get_space(bset);
 131         dim = isl_space_params(dim);
 132
 133         top_pwf = bound->pwf;
 134         top_pwf_tight = bound->pwf_tight;
 135
 136         dim = isl_space_from_domain(dim);
 137         dim = isl_space_add_dims(dim, isl_dim_out, 1);
 138         bound->pwf = isl_pw_qpolynomial_fold_zero(isl_space_copy(dim),
 139                                                   bound->type);
 140         bound->pwf_tight = isl_pw_qpolynomial_fold_zero(dim, bound->type);
 141
 142         r = unwrapped_guarded_poly_bound(bset, poly, user);
 143
 144         bound->pwf = isl_pw_qpolynomial_fold_reset_space(bound->pwf,
 145                                                     isl_space_copy(bound->dim));
 146         bound->pwf_tight = isl_pw_qpolynomial_fold_reset_space(bound->pwf_tight,
 147                                                     isl_space_copy(bound->dim));
 148
 149         bound->pwf = isl_pw_qpolynomial_fold_fold(top_pwf, bound->pwf);
 150         bound->pwf_tight = isl_pw_qpolynomial_fold_fold(top_pwf_tight,
 151                                                         bound->pwf_tight);
 152
 153         return r;
 154 }
 155
 156 static int guarded_qp(__isl_take isl_qpolynomial *qp, void *user)
 157 {
 158         struct isl_bound *bound = (struct isl_bound *)user;
 159         int r;
 160
 161         r = isl_qpolynomial_as_polynomial_on_domain(qp, bound->bset,
 162                                                     &guarded_poly_bound, user);
 163         isl_qpolynomial_free(qp);
 164         return r;
 165 }
 166
 167 static int basic_guarded_fold(__isl_take isl_basic_set *bset, void *user)
 168 {
 169         struct isl_bound *bound = (struct isl_bound *)user;
 170         int r;
 171
 172         bound->bset = bset;
 173         r = isl_qpolynomial_fold_foreach_qpolynomial(bound->fold,
 174                                                         &guarded_qp, user);
 175         isl_basic_set_free(bset);
 176         return r;
 177 }
 178
 179 static int guarded_fold(__isl_take isl_set *set,
 180         __isl_take isl_qpolynomial_fold *fold, void *user)
 181 {
 182         struct isl_bound *bound = (struct isl_bound *)user;
 183
 184         if (!set || !fold)
 185                 goto error;
 186
 187         set = isl_set_make_disjoint(set);
 188
 189         bound->fold = fold;
 190         bound->type = isl_qpolynomial_fold_get_type(fold);
 191
 192         if (isl_set_foreach_basic_set(set, &basic_guarded_fold, bound) < 0)
 193                 goto error;
 194
 195         isl_set_free(set);
 196         isl_qpolynomial_fold_free(fold);
 197
 198         return 0;
 199 error:
 200         isl_set_free(set);
 201         isl_qpolynomial_fold_free(fold);
 202         return -1;
 203 }
 204
 205 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_fold_bound(
 206         __isl_take isl_pw_qpolynomial_fold *pwf, int *tight)
 207 {
 208         unsigned nvar;
 209         struct isl_bound bound;
 210         int covers;
 211
 212         if (!pwf)
 213                 return NULL;
 214
 215         bound.dim = isl_pw_qpolynomial_fold_get_domain_space(pwf);
 216
 217         bound.wrapping = isl_space_is_wrapping(bound.dim);
 218         if (bound.wrapping)
 219                 bound.dim = isl_space_unwrap(bound.dim);
 220         nvar = isl_space_dim(bound.dim, isl_dim_out);
 221         bound.dim = isl_space_domain(bound.dim);
 222         bound.dim = isl_space_from_domain(bound.dim);
 223         bound.dim = isl_space_add_dims(bound.dim, isl_dim_out, 1);
 224
 225         if (nvar == 0) {
 226                 if (tight)
 227                         *tight = 1;
 228                 return isl_pw_qpolynomial_fold_reset_space(pwf, bound.dim);
 229         }
 230
 231         if (isl_pw_qpolynomial_fold_is_zero(pwf)) {
 232                 enum isl_fold type = pwf->type;
 233                 isl_pw_qpolynomial_fold_free(pwf);
 234                 if (tight)
 235                         *tight = 1;
 236                 return isl_pw_qpolynomial_fold_zero(bound.dim, type);
 237         }
 238
 239         bound.pwf = isl_pw_qpolynomial_fold_zero(isl_space_copy(bound.dim),
 240                                                         pwf->type);
 241         bound.pwf_tight = isl_pw_qpolynomial_fold_zero(isl_space_copy(bound.dim),
 242                                                         pwf->type);
 243         bound.check_tight = !!tight;
 244
 245         if (isl_pw_qpolynomial_fold_foreach_lifted_piece(pwf,
 246                                                         guarded_fold, &bound) < 0)
 247                 goto error;
 248
 249         covers = isl_pw_qpolynomial_fold_covers(bound.pwf_tight, bound.pwf);
 250         if (covers < 0)
 251                 goto error;
 252
 253         if (tight)
 254                 *tight = covers;
 255
 256         isl_space_free(bound.dim);
 257         isl_pw_qpolynomial_fold_free(pwf);
 258
 259         if (covers) {
 260                 isl_pw_qpolynomial_fold_free(bound.pwf);
 261                 return bound.pwf_tight;
 262         }
 263
 264         bound.pwf = isl_pw_qpolynomial_fold_fold(bound.pwf, bound.pwf_tight);
 265
 266         return bound.pwf;
 267 error:
 268         isl_pw_qpolynomial_fold_free(bound.pwf_tight);
 269         isl_pw_qpolynomial_fold_free(bound.pwf);
 270         isl_pw_qpolynomial_fold_free(pwf);
 271         isl_space_free(bound.dim);
 272         return NULL;
 273 }
 274
 275 __isl_give isl_pw_qpolynomial_fold *isl_pw_qpolynomial_bound(
 276         __isl_take isl_pw_qpolynomial *pwqp, enum isl_fold type, int *tight)
 277 {
 278         isl_pw_qpolynomial_fold *pwf;
 279
 280         pwf = isl_pw_qpolynomial_fold_from_pw_qpolynomial(type, pwqp);
 281         return isl_pw_qpolynomial_fold_bound(pwf, tight);
 282 }
 283
 284 struct isl_union_bound_data {
 285         enum isl_fold type;
 286         int tight;
 287         isl_union_pw_qpolynomial_fold *res;
 288 };
 289
 290 static int bound_pw(__isl_take isl_pw_qpolynomial *pwqp, void *user)
 291 {
 292         struct isl_union_bound_data *data = user;
 293         isl_pw_qpolynomial_fold *pwf;
 294
 295         pwf = isl_pw_qpolynomial_bound(pwqp, data->type,
 296                                         data->tight ? &data->tight : NULL);
 297         data->res = isl_union_pw_qpolynomial_fold_fold_pw_qpolynomial_fold(
 298                                                                 data->res, pwf);
 299
 300         return 0;
 301 }
 302
 303 __isl_give isl_union_pw_qpolynomial_fold *isl_union_pw_qpolynomial_bound(
 304         __isl_take isl_union_pw_qpolynomial *upwqp,
 305         enum isl_fold type, int *tight)
 306 {
 307         isl_space *dim;
 308         struct isl_union_bound_data data = { type, 1, NULL };
 309
 310         if (!upwqp)
 311                 return NULL;
 312
 313         if (!tight)
 314                 data.tight = 0;
 315
 316         dim = isl_union_pw_qpolynomial_get_space(upwqp);
 317         data.res = isl_union_pw_qpolynomial_fold_zero(dim, type);
 318         if (isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp,
 319                                                     &bound_pw, &data) < 0)
 320                 goto error;
 321
 322         isl_union_pw_qpolynomial_free(upwqp);
 323         if (tight)
 324                 *tight = data.tight;
 325
 326         return data.res;
 327 error:
 328         isl_union_pw_qpolynomial_free(upwqp);
 329         isl_union_pw_qpolynomial_fold_free(data.res);
 330         return NULL;
 331 }