evalue_isl.c

   1 #include <isl_set_polylib.h>
   2 #include <isl_constraint.h>
   3 #include <barvinok/evalue.h>
   4
   5 static __isl_give isl_qpolynomial *extract_base(__isl_take isl_dim *dim,
   6         const evalue *e)
   7 {
   8         int i;
   9         isl_ctx *ctx;
  10         isl_vec *v;
  11         isl_div *div;
  12         isl_qpolynomial *base, *c;
  13         unsigned nparam;
  14
  15         if (!dim)
  16                 return NULL;
  17
  18         if (e->x.p->type == polynomial)
  19                 return isl_qpolynomial_var(dim, isl_dim_param, e->x.p->pos - 1);
  20
  21         ctx = isl_dim_get_ctx(dim);
  22         nparam = isl_dim_size(dim, isl_dim_param);
  23         v = isl_vec_alloc(ctx, 2 + nparam);
  24         if (!v)
  25                 goto error;
  26
  27         isl_seq_clr(v->el + 2, nparam);
  28         evalue_extract_affine(&e->x.p->arr[0], v->el + 2, &v->el[1], &v->el[0]);
  29
  30         div = isl_div_alloc(isl_dim_copy(dim));
  31         isl_div_set_constant(div, v->el[1]);
  32         isl_div_set_denominator(div, v->el[0]);
  33
  34         for (i = 0; i < nparam; ++i)
  35                 isl_div_set_coefficient(div, isl_dim_param, i, v->el[2 + i]);
  36
  37         base = isl_qpolynomial_div(div);
  38
  39         if (e->x.p->type == fractional) {
  40                 base = isl_qpolynomial_neg(base);
  41
  42                 c = isl_qpolynomial_rat_cst(isl_dim_copy(dim), v->el[1], v->el[0]);
  43                 base = isl_qpolynomial_add(base, c);
  44
  45                 for (i = 0; i < nparam; ++i) {
  46                         isl_qpolynomial *t;
  47                         c = isl_qpolynomial_rat_cst(isl_dim_copy(dim),
  48                                                         v->el[2 + i], v->el[0]);
  49                         t = isl_qpolynomial_var(isl_dim_copy(dim),
  50                                                 isl_dim_param, i);
  51                         t = isl_qpolynomial_mul(c, t);
  52                         base = isl_qpolynomial_add(base, t);
  53                 }
  54         }
  55
  56         isl_vec_free(v);
  57         isl_dim_free(dim);
  58
  59         return base;
  60 error:
  61         isl_dim_free(dim);
  62         return NULL;
  63 }
  64
  65 static int type_offset(enode *p)
  66 {
  67         return p->type == fractional ? 1 :
  68                p->type == flooring ? 1 : 0;
  69 }
  70
  71 __isl_give isl_qpolynomial *isl_qpolynomial_from_evalue(__isl_take isl_dim *dim,
  72         const evalue *e)
  73 {
  74         int i;
  75         isl_qpolynomial *qp;
  76         isl_qpolynomial *base;
  77         int offset;
  78
  79         if (EVALUE_IS_NAN(*e))
  80                 return isl_qpolynomial_infty(dim);
  81         if (value_notzero_p(e->d))
  82                 return isl_qpolynomial_rat_cst(dim, e->x.n, e->d);
  83
  84         offset = type_offset(e->x.p);
  85
  86         assert(e->x.p->type == polynomial ||
  87                e->x.p->type == flooring ||
  88                e->x.p->type == fractional);
  89         assert(e->x.p->size >= 1 + offset);
  90
  91         base = extract_base(isl_dim_copy(dim), e);
  92         qp = isl_qpolynomial_from_evalue(isl_dim_copy(dim),
  93                                          &e->x.p->arr[e->x.p->size - 1]);
  94
  95         for (i = e->x.p->size - 2; i >= offset; --i) {
  96                 qp = isl_qpolynomial_mul(qp, isl_qpolynomial_copy(base));
  97                 qp = isl_qpolynomial_add(qp,
  98                                     isl_qpolynomial_from_evalue(isl_dim_copy(dim),
  99                                     &e->x.p->arr[i]));
 100         }
 101
 102         isl_qpolynomial_free(base);
 103         isl_dim_free(dim);
 104
 105         return qp;
 106 }
 107
 108 static __isl_give isl_pw_qpolynomial *guarded_evalue2pwqp(__isl_take isl_set *set,
 109         const evalue *e);
 110
 111 static __isl_give isl_pw_qpolynomial *relation2pwqp(__isl_take isl_set *set,
 112         const evalue *e)
 113 {
 114         int i;
 115         isl_vec *vec;
 116         isl_dim *dim;
 117         unsigned nparam;
 118         isl_pw_qpolynomial *pwqp;
 119         struct isl_constraint *c;
 120         struct isl_basic_set *bset;
 121         struct isl_set *guard;
 122         const evalue *fract;
 123
 124         if (!set || !e)
 125                 goto error;
 126
 127         if (e->x.p->size == 1) {
 128                 dim = isl_set_get_dim(set);
 129                 isl_set_free(set);
 130                 return isl_pw_qpolynomial_zero(dim);
 131         }
 132
 133         isl_assert(set->ctx, e->x.p->size > 0, goto error);
 134         isl_assert(set->ctx, e->x.p->size <= 3, goto error);
 135         isl_assert(set->ctx, value_zero_p(e->x.p->arr[0].d), goto error);
 136         isl_assert(set->ctx, e->x.p->arr[0].x.p->type == fractional, goto error);
 137         fract = &e->x.p->arr[0];
 138
 139         nparam = isl_set_dim(set, isl_dim_param);
 140         vec = isl_vec_alloc(set->ctx, 2 + nparam + 1);
 141         if (!vec)
 142                 goto error;
 143
 144         isl_seq_clr(vec->el + 2, nparam);
 145         evalue_extract_affine(&fract->x.p->arr[0],
 146                                 vec->el + 2, &vec->el[1], &vec->el[0]);
 147
 148         dim = isl_set_get_dim(set);
 149         dim = isl_dim_add(dim, isl_dim_set, 1);
 150
 151         bset = isl_basic_set_universe(dim);
 152         c = isl_equality_alloc(isl_dim_copy(dim));
 153         isl_int_neg(vec->el[0], vec->el[0]);
 154         isl_constraint_set_coefficient(c, isl_dim_set, 0, vec->el[0]);
 155         isl_constraint_set_constant(c, vec->el[1]);
 156         for (i = 0; i < nparam; ++i)
 157                 isl_constraint_set_coefficient(c, isl_dim_param, i, vec->el[2+i]);
 158         bset = isl_basic_set_add_constraint(bset, c);
 159         bset = isl_basic_set_project_out(bset, isl_dim_set, 0, 1);
 160         guard = isl_set_from_basic_set(bset);
 161         isl_vec_free(vec);
 162
 163         pwqp = guarded_evalue2pwqp(isl_set_intersect(isl_set_copy(set),
 164                                                      isl_set_copy(guard)),
 165                                    &e->x.p->arr[1]);
 166
 167         if (e->x.p->size == 3) {
 168                 isl_pw_qpolynomial *pwqpc;
 169                 guard = isl_set_complement(guard);
 170                 pwqpc = guarded_evalue2pwqp(isl_set_intersect(isl_set_copy(set),
 171                                                               isl_set_copy(guard)),
 172                                             &e->x.p->arr[2]);
 173                 pwqp = isl_pw_qpolynomial_add_disjoint(pwqp, pwqpc);
 174         }
 175
 176         isl_set_free(set);
 177         isl_set_free(guard);
 178
 179         return pwqp;
 180 error:
 181         isl_set_free(set);
 182         return NULL;
 183 }
 184
 185 static __isl_give isl_pw_qpolynomial *guarded_evalue2pwqp(__isl_take isl_set *set,
 186         const evalue *e)
 187 {
 188         isl_qpolynomial *qp;
 189
 190         if (value_zero_p(e->d) && e->x.p->type == relation)
 191                 return relation2pwqp(set, e);
 192
 193         qp = isl_qpolynomial_from_evalue(isl_set_get_dim(set), e);
 194
 195         return isl_pw_qpolynomial_alloc(set, qp);
 196 }
 197
 198 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_from_evalue(__isl_take isl_dim *dim, const evalue *e)
 199 {
 200         int i;
 201         isl_pw_qpolynomial *pwqp;
 202
 203         if (!dim || !e)
 204                 goto error;
 205         if (EVALUE_IS_ZERO(*e))
 206                 return isl_pw_qpolynomial_zero(dim);
 207
 208         if (value_notzero_p(e->d)) {
 209                 isl_set *set = isl_set_universe(isl_dim_copy(dim));
 210                 isl_qpolynomial *qp = isl_qpolynomial_rat_cst(dim, e->x.n, e->d);
 211                 return isl_pw_qpolynomial_alloc(set, qp);
 212         }
 213
 214         assert(!EVALUE_IS_NAN(*e));
 215
 216         assert(e->x.p->type == partition);
 217
 218         pwqp = isl_pw_qpolynomial_zero(isl_dim_copy(dim));
 219
 220         for (i = 0; i < e->x.p->size/2; ++i) {
 221                 Polyhedron *D = EVALUE_DOMAIN(e->x.p->arr[2 * i]);
 222                 isl_set *set = isl_set_new_from_polylib(D, isl_dim_copy(dim));
 223                 isl_pw_qpolynomial *pwqp_i;
 224
 225                 pwqp_i = guarded_evalue2pwqp(set, &e->x.p->arr[2 * i + 1]);
 226
 227                 pwqp = isl_pw_qpolynomial_add_disjoint(pwqp, pwqp_i);
 228         }
 229
 230         isl_dim_free(dim);
 231
 232         return pwqp;
 233 error:
 234         isl_dim_free(dim);
 235         return NULL;
 236 }
 237
 238 static evalue *evalue_pow(evalue *e, int exp)
 239 {
 240         evalue *pow;
 241
 242         if (exp == 1)
 243                 return e;
 244
 245         pow = evalue_dup(e);
 246         while (--exp > 0)
 247                 emul(e, pow);
 248
 249         evalue_free(e);
 250
 251         return pow;
 252 }
 253
 254 static evalue *div2evalue(__isl_take isl_div *div)
 255 {
 256         int i;
 257         isl_vec *vec;
 258         unsigned dim;
 259         unsigned nparam;
 260         evalue *e;
 261         evalue *aff;
 262
 263         if (!div)
 264                 return NULL;
 265
 266         dim = isl_div_dim(div, isl_dim_set);
 267         nparam = isl_div_dim(div, isl_dim_param);
 268
 269         vec = isl_vec_alloc(div->ctx, 1 + dim + nparam + 1);
 270         if (!vec)
 271                 goto error;
 272         for (i = 0; i < dim; ++i)
 273                 isl_div_get_coefficient(div, isl_dim_set, i, &vec->el[1 + i]);
 274         for (i = 0; i < nparam; ++i)
 275                 isl_div_get_coefficient(div, isl_dim_param, i,
 276                                         &vec->el[1 + dim + i]);
 277         isl_div_get_denominator(div, &vec->el[0]);
 278         isl_div_get_constant(div, &vec->el[1 + dim + nparam]);
 279
 280         e = isl_alloc_type(div->ctx, evalue);
 281         if (!e)
 282                 goto error;
 283         value_init(e->d);
 284         value_set_si(e->d, 0);
 285         e->x.p = new_enode(flooring, 3, -1);
 286         evalue_set_si(&e->x.p->arr[1], 0, 1);
 287         evalue_set_si(&e->x.p->arr[2], 1, 1);
 288         value_clear(e->x.p->arr[0].d);
 289         aff = affine2evalue(vec->el + 1, vec->el[0], dim + nparam);
 290         e->x.p->arr[0] = *aff;
 291         free(aff);
 292         isl_vec_free(vec);
 293         isl_div_free(div);
 294         return e;
 295 error:
 296         isl_vec_free(vec);
 297         isl_div_free(div);
 298         return NULL;
 299 }
 300
 301 static int add_term(__isl_take isl_term *term, void *user)
 302 {
 303         int i;
 304         evalue *sum = (evalue *)user;
 305         unsigned nparam;
 306         unsigned dim;
 307         unsigned n_div;
 308         isl_ctx *ctx;
 309         isl_int n, d;
 310         evalue *e;
 311
 312         if (!term)
 313                 return -1;
 314
 315         nparam = isl_term_dim(term, isl_dim_param);
 316         dim = isl_term_dim(term, isl_dim_set);
 317         n_div = isl_term_dim(term, isl_dim_div);
 318
 319         ctx = isl_term_get_ctx(term);
 320         e = isl_alloc_type(ctx, evalue);
 321         if (!e)
 322                 goto error;
 323
 324         isl_int_init(n);
 325         isl_int_init(d);
 326
 327         isl_term_get_num(term, &n);
 328         isl_term_get_den(term, &d);
 329         value_init(e->d);
 330         evalue_set(e, n, d);
 331
 332         for (i = 0; i < dim; ++i) {
 333                 evalue *pow;
 334                 int exp = isl_term_get_exp(term, isl_dim_set, i);
 335
 336                 if (!exp)
 337                         continue;
 338
 339                 pow = evalue_pow(evalue_var(i), exp);
 340                 emul(pow, e);
 341                 evalue_free(pow);
 342         }
 343
 344         for (i = 0; i < nparam; ++i) {
 345                 evalue *pow;
 346                 int exp = isl_term_get_exp(term, isl_dim_param, i);
 347
 348                 if (!exp)
 349                         continue;
 350
 351                 pow = evalue_pow(evalue_var(dim + i), exp);
 352                 emul(pow, e);
 353                 evalue_free(pow);
 354         }
 355
 356         for (i = 0; i < n_div; ++i) {
 357                 evalue *pow;
 358                 evalue *floor;
 359                 isl_div *div;
 360                 int exp = isl_term_get_exp(term, isl_dim_div, i);
 361
 362                 if (!exp)
 363                         continue;
 364
 365                 div = isl_term_get_div(term, i);
 366                 floor = div2evalue(div);
 367                 pow = evalue_pow(floor, exp);
 368                 emul(pow, e);
 369                 evalue_free(pow);
 370         }
 371
 372         eadd(e, sum);
 373         evalue_free(e);
 374
 375         isl_int_clear(n);
 376         isl_int_clear(d);
 377
 378         isl_term_free(term);
 379
 380         return 0;
 381 error:
 382         isl_term_free(term);
 383         return -1;
 384 }
 385
 386 evalue *isl_qpolynomial_to_evalue(__isl_keep isl_qpolynomial *qp)
 387 {
 388         evalue *e;
 389
 390         e = evalue_zero();
 391         if (!e)
 392                 return NULL;
 393
 394         if (isl_qpolynomial_foreach_term(qp, add_term, e) < 0)
 395                 goto error;
 396
 397         return e;
 398 error:
 399         evalue_free(e);
 400         return NULL;
 401 }
 402
 403 static int add_guarded_qp(__isl_take isl_set *set, __isl_take isl_qpolynomial *qp,
 404         void *user)
 405 {
 406         Polyhedron *D;
 407         evalue *e = NULL;
 408         evalue *f;
 409         evalue *sum = (evalue *)user;
 410         unsigned dim;
 411
 412         e = isl_alloc_type(set->ctx, evalue);
 413         if (!e)
 414                 goto error;
 415
 416         D = isl_set_to_polylib(set);
 417         if (!D)
 418                 goto error;
 419
 420         f = isl_qpolynomial_to_evalue(qp);
 421         if (!e) {
 422                 Domain_Free(D);
 423                 goto error;
 424         }
 425
 426         dim = isl_set_dim(set, isl_dim_param) + isl_set_dim(set, isl_dim_set);
 427         value_init(e->d);
 428         e->x.p = new_enode(partition, 2, D->Dimension);
 429         EVALUE_SET_DOMAIN(e->x.p->arr[0], D);
 430
 431         value_clear(e->x.p->arr[1].d);
 432         e->x.p->arr[1] = *f;
 433         free(f);
 434
 435         eadd(e, sum);
 436         evalue_free(e);
 437
 438         isl_set_free(set);
 439         isl_qpolynomial_free(qp);
 440
 441         return 0;
 442 error:
 443         free(e);
 444         isl_set_free(set);
 445         isl_qpolynomial_free(qp);
 446         return -1;
 447 }
 448
 449 evalue *isl_pw_qpolynomial_to_evalue(__isl_keep isl_pw_qpolynomial *pwqp)
 450 {
 451         evalue *e;
 452
 453         if (!pwqp)
 454                 return NULL;
 455         e = evalue_zero();
 456
 457         if (isl_pw_qpolynomial_foreach_piece(pwqp, add_guarded_qp, e))
 458                 goto error;
 459
 460         return e;
 461 error:
 462         evalue_free(e);
 463         return NULL;
 464 }