isl_constraint.c

   1 #include <isl_constraint.h>
   2 #include "isl_map_private.h"
   3
   4 static unsigned n(struct isl_constraint *c, enum isl_dim_type type)
   5 {
   6         return isl_basic_map_dim(c->bmap, type);
   7 }
   8
   9 static unsigned offset(struct isl_constraint *c, enum isl_dim_type type)
  10 {
  11         struct isl_dim *dim = c->bmap->dim;
  12         switch (type) {
  13         case isl_dim_param:     return 1;
  14         case isl_dim_in:        return 1 + dim->nparam;
  15         case isl_dim_out:       return 1 + dim->nparam + dim->n_in;
  16         case isl_dim_div:       return 1 + dim->nparam + dim->n_in + dim->n_out;
  17         }
  18 }
  19
  20 static unsigned basic_set_offset(struct isl_basic_set *bset,
  21                                                         enum isl_dim_type type)
  22 {
  23         struct isl_dim *dim = bset->dim;
  24         switch (type) {
  25         case isl_dim_param:     return 1;
  26         case isl_dim_in:        return 1 + dim->nparam;
  27         case isl_dim_out:       return 1 + dim->nparam + dim->n_in;
  28         case isl_dim_div:       return 1 + dim->nparam + dim->n_in + dim->n_out;
  29         }
  30 }
  31
  32 struct isl_constraint *isl_basic_map_constraint(struct isl_basic_map *bmap,
  33         isl_int **line)
  34 {
  35         struct isl_constraint *constraint;
  36
  37         if (!bmap || !line)
  38                 goto error;
  39
  40         constraint = isl_alloc_type(bmap->ctx, struct isl_constraint);
  41         if (!constraint)
  42                 goto error;
  43
  44         constraint->ctx = bmap->ctx;
  45         isl_ctx_ref(constraint->ctx);
  46         constraint->ref = 1;
  47         constraint->bmap = bmap;
  48         constraint->line = line;
  49
  50         return constraint;
  51 error:
  52         isl_basic_map_free(bmap);
  53         return NULL;
  54 }
  55
  56 struct isl_constraint *isl_basic_set_constraint(struct isl_basic_set *bset,
  57         isl_int **line)
  58 {
  59         return isl_basic_map_constraint((struct isl_basic_map *)bset, line);
  60 }
  61
  62 struct isl_constraint *isl_equality_alloc(struct isl_dim *dim)
  63 {
  64         struct isl_basic_map *bmap;
  65
  66         if (!dim)
  67                 return NULL;
  68
  69         bmap = isl_basic_map_alloc_dim(dim, 0, 1, 0);
  70         if (!bmap)
  71                 return NULL;
  72
  73         isl_basic_map_alloc_equality(bmap);
  74         isl_seq_clr(bmap->eq[0], 1 + isl_basic_map_total_dim(bmap));
  75         return isl_basic_map_constraint(bmap, &bmap->eq[0]);
  76 }
  77
  78 struct isl_constraint *isl_inequality_alloc(struct isl_dim *dim)
  79 {
  80         struct isl_basic_map *bmap;
  81
  82         if (!dim)
  83                 return NULL;
  84
  85         bmap = isl_basic_map_alloc_dim(dim, 0, 0, 1);
  86         if (!bmap)
  87                 return NULL;
  88
  89         isl_basic_map_alloc_inequality(bmap);
  90         isl_seq_clr(bmap->ineq[0], 1 + isl_basic_map_total_dim(bmap));
  91         return isl_basic_map_constraint(bmap, &bmap->ineq[0]);
  92 }
  93
  94 struct isl_constraint *isl_constraint_dup(struct isl_constraint *c)
  95 {
  96         if (!c)
  97                 return NULL;
  98
  99         return isl_basic_map_constraint(isl_basic_map_copy(c->bmap), c->line);
 100 }
 101
 102 struct isl_constraint *isl_constraint_cow(struct isl_constraint *c)
 103 {
 104         if (!c)
 105                 return NULL;
 106
 107         if (c->ref == 1)
 108                 return c;
 109         c->ref--;
 110         return isl_constraint_dup(c);
 111 }
 112
 113 struct isl_constraint *isl_constraint_copy(struct isl_constraint *constraint)
 114 {
 115         if (!constraint)
 116                 return NULL;
 117
 118         constraint->ref++;
 119         return constraint;
 120 }
 121
 122 struct isl_constraint *isl_constraint_free(struct isl_constraint *c)
 123 {
 124         if (!c)
 125                 return;
 126
 127         if (--c->ref > 0)
 128                 return;
 129
 130         isl_basic_map_free(c->bmap);
 131         isl_ctx_deref(c->ctx);
 132         free(c);
 133 }
 134
 135 struct isl_constraint *isl_basic_set_first_constraint(
 136         struct isl_basic_set *bset)
 137 {
 138         struct isl_constraint *c;
 139
 140         if (!bset)
 141                 return NULL;
 142
 143         if (bset->n_eq > 0)
 144                 return isl_basic_set_constraint(bset, &bset->eq[0]);
 145
 146         if (bset->n_ineq > 0)
 147                 return isl_basic_set_constraint(bset, &bset->ineq[0]);
 148
 149         isl_basic_set_free(bset);
 150         return NULL;
 151 }
 152
 153 struct isl_constraint *isl_constraint_next(struct isl_constraint *c)
 154 {
 155         c = isl_constraint_cow(c);
 156         c->line++;
 157         if (c->line >= c->bmap->eq + c->bmap->n_eq && c->line < c->bmap->ineq)
 158                 c->line = c->bmap->ineq;
 159         if (c->line < c->bmap->ineq + c->bmap->n_ineq)
 160                 return c;
 161         isl_constraint_free(c);
 162         return NULL;
 163 }
 164
 165 int isl_constraint_is_equal(struct isl_constraint *constraint1,
 166         struct isl_constraint *constraint2)
 167 {
 168         if (!constraint1 || !constraint2)
 169                 return 0;
 170         return constraint1->bmap == constraint2->bmap &&
 171                constraint1->line == constraint2->line;
 172 }
 173
 174 struct isl_basic_map *isl_basic_map_add_constraint(
 175         struct isl_basic_map *bmap, struct isl_constraint *constraint)
 176 {
 177         if (!bmap || !constraint)
 178                 goto error;
 179
 180         isl_assert(constraint->ctx,
 181                 isl_dim_equal(bmap->dim, constraint->bmap->dim), goto error);
 182
 183         bmap = isl_basic_map_intersect(bmap,
 184                                     isl_basic_map_copy(constraint->bmap));
 185         isl_constraint_free(constraint);
 186         return bmap;
 187 error:
 188         isl_basic_map_free(bmap);
 189         isl_constraint_free(constraint);
 190         return NULL;
 191 }
 192
 193 struct isl_basic_set *isl_basic_set_add_constraint(
 194         struct isl_basic_set *bset, struct isl_constraint *constraint)
 195 {
 196         return (struct isl_basic_set *)
 197                 isl_basic_map_add_constraint((struct isl_basic_map *)bset,
 198                                                 constraint);
 199 }
 200
 201 struct isl_constraint *isl_constraint_add_div(struct isl_constraint *constraint,
 202         struct isl_div *div, int *pos)
 203 {
 204         if (!constraint || !div)
 205                 goto error;
 206
 207         isl_assert(constraint->ctx,
 208             isl_dim_equal(div->bmap->dim, constraint->bmap->dim), goto error);
 209         isl_assert(constraint->ctx,
 210             constraint->bmap->n_eq + constraint->bmap->n_ineq == 1, goto error);
 211
 212         constraint->bmap = isl_basic_map_extend_dim(constraint->bmap,
 213                                 isl_dim_copy(constraint->bmap->dim), 1, 0, 0);
 214         if (!constraint->bmap)
 215                 goto error;
 216         constraint->line = &constraint->bmap->eq[0];
 217         *pos = isl_basic_map_alloc_div(constraint->bmap);
 218         if (*pos < 0)
 219                 goto error;
 220         isl_seq_cpy(constraint->bmap->div[*pos], div->line[0],
 221                         1 + 1 + isl_basic_map_total_dim(constraint->bmap));
 222         isl_div_free(div);
 223         return constraint;
 224 error:
 225         isl_constraint_free(constraint);
 226         isl_div_free(div);
 227         return NULL;
 228 }
 229
 230 int isl_constraint_dim(struct isl_constraint *constraint,
 231         enum isl_dim_type type)
 232 {
 233         if (!constraint)
 234                 return -1;
 235         return n(constraint, type);
 236 }
 237
 238 void isl_constraint_get_constant(struct isl_constraint *constraint, isl_int *v)
 239 {
 240         if (!constraint)
 241                 return;
 242         isl_int_set(*v, constraint->line[0][0]);
 243 }
 244
 245 void isl_constraint_get_coefficient(struct isl_constraint *constraint,
 246         enum isl_dim_type type, int pos, isl_int *v)
 247 {
 248         if (!constraint)
 249                 return;
 250
 251         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 252         isl_int_set(*v, constraint->line[0][offset(constraint, type) + pos]);
 253 }
 254
 255 struct isl_div *isl_constraint_div(struct isl_constraint *constraint, int pos)
 256 {
 257         if (!constraint)
 258                 return NULL;
 259
 260         isl_assert(constraint->ctx, pos < n(constraint, isl_dim_div),
 261                         return NULL);
 262         return isl_basic_map_div(constraint->bmap, constraint->bmap->div+pos);
 263 }
 264
 265 void isl_constraint_set_constant(struct isl_constraint *constraint, isl_int v)
 266 {
 267         if (!constraint)
 268                 return;
 269         isl_int_set(constraint->line[0][0], v);
 270 }
 271
 272 void isl_constraint_set_coefficient(struct isl_constraint *constraint,
 273         enum isl_dim_type type, int pos, isl_int v)
 274 {
 275         if (!constraint)
 276                 return;
 277
 278         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 279         isl_int_set(constraint->line[0][offset(constraint, type) + pos], v);
 280 }
 281
 282 void isl_constraint_clear(struct isl_constraint *constraint)
 283 {
 284         struct isl_basic_set *bset;
 285         unsigned total;
 286
 287         if (!constraint)
 288                 return;
 289         total = isl_basic_map_total_dim(constraint->bmap);
 290         isl_seq_clr(constraint->line[0], 1 + total);
 291 }
 292
 293 struct isl_constraint *isl_constraint_negate(struct isl_constraint *constraint)
 294 {
 295         unsigned total;
 296
 297         if (!constraint)
 298                 return NULL;
 299
 300         isl_assert(constraint->ctx, !isl_constraint_is_equality(constraint),
 301                         goto error);
 302         isl_assert(constraint->ctx, constraint->bmap->ref == 1, goto error);
 303         total = isl_basic_map_total_dim(constraint->bmap);
 304         isl_seq_neg(constraint->line[0], constraint->line[0], 1 + total);
 305         isl_int_sub_ui(constraint->line[0][0], constraint->line[0][0], 1);
 306         F_CLR(constraint->bmap, ISL_BASIC_MAP_NORMALIZED);
 307         return constraint;
 308 error:
 309         isl_constraint_free(constraint);
 310         return NULL;
 311 }
 312
 313 int isl_constraint_is_equality(struct isl_constraint *constraint)
 314 {
 315         if (!constraint)
 316                 return -1;
 317         return constraint->line < constraint->bmap->eq + constraint->bmap->n_eq;
 318 }
 319
 320
 321 struct isl_basic_set *isl_basic_set_from_constraint(
 322         struct isl_constraint *constraint)
 323 {
 324         int k;
 325         struct isl_basic_set *constraint_bset, *bset;
 326         isl_int *c;
 327         unsigned dim;
 328         unsigned nparam;
 329         unsigned total;
 330
 331         if (!constraint)
 332                 return NULL;
 333
 334         isl_assert(constraint->ctx,n(constraint, isl_dim_in) == 0, goto error);
 335
 336         constraint_bset = (struct isl_basic_set *)constraint->bmap;
 337         bset = isl_basic_set_universe_like(constraint_bset);
 338         bset = isl_basic_set_align_divs(bset, constraint_bset);
 339         nparam = isl_basic_set_n_param(bset);
 340         dim = isl_basic_set_n_dim(bset);
 341         bset = isl_basic_set_extend(bset, nparam, dim, 0, 1, 1);
 342         if (isl_constraint_is_equality(constraint)) {
 343                 k = isl_basic_set_alloc_equality(bset);
 344                 if (k < 0)
 345                         goto error;
 346                 c = bset->eq[k];
 347         }
 348         else {
 349                 k = isl_basic_set_alloc_inequality(bset);
 350                 if (k < 0)
 351                         goto error;
 352                 c = bset->ineq[k];
 353         }
 354         total = isl_basic_set_total_dim(bset);
 355         isl_seq_cpy(c, constraint->line[0], 1 + total);
 356         isl_constraint_free(constraint);
 357         return bset;
 358 error:
 359         isl_constraint_free(constraint);
 360         isl_basic_set_free(bset);
 361         return NULL;
 362 }
 363
 364 int isl_basic_set_has_defining_equality(
 365         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 366         struct isl_constraint **c)
 367 {
 368         int i;
 369         unsigned offset;
 370         unsigned total;
 371
 372         if (!bset)
 373                 return -1;
 374         offset = basic_set_offset(bset, type);
 375         total = isl_basic_set_total_dim(bset);
 376         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 377         for (i = 0; i < bset->n_eq; ++i)
 378                 if (!isl_int_is_zero(bset->eq[i][offset + pos]) &&
 379                     isl_seq_first_non_zero(bset->eq[i]+offset+pos+1,
 380                                            1+total-offset-pos-1) == -1) {
 381                         *c= isl_basic_set_constraint(isl_basic_set_copy(bset),
 382                                                                 &bset->eq[i]);
 383                         return 1;
 384                 }
 385         return 0;
 386 }
 387
 388 int isl_basic_set_has_defining_inequalities(
 389         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 390         struct isl_constraint **lower,
 391         struct isl_constraint **upper)
 392 {
 393         int i, j;
 394         unsigned offset;
 395         unsigned total;
 396         isl_int m;
 397         isl_int **lower_line, **upper_line;
 398
 399         if (!bset)
 400                 return -1;
 401         offset = basic_set_offset(bset, type);
 402         total = isl_basic_set_total_dim(bset);
 403         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 404         isl_int_init(m);
 405         for (i = 0; i < bset->n_ineq; ++i) {
 406                 if (isl_int_is_zero(bset->ineq[i][offset + pos]))
 407                         continue;
 408                 if (isl_int_is_one(bset->ineq[i][offset + pos]))
 409                         continue;
 410                 if (isl_int_is_negone(bset->ineq[i][offset + pos]))
 411                         continue;
 412                 if (isl_seq_first_non_zero(bset->ineq[i]+offset+pos+1,
 413                                                 1+total-offset-pos-1) != -1)
 414                         continue;
 415                 for (j = i + i; j < bset->n_ineq; ++j) {
 416                         if (!isl_seq_is_neg(bset->ineq[i]+1, bset->ineq[j]+1,
 417                                             total))
 418                                 continue;
 419                         isl_int_add(m, bset->ineq[i][0], bset->ineq[j][0]);
 420                         if (isl_int_abs_ge(m, bset->ineq[i][offset+pos]))
 421                                 continue;
 422
 423                         if (isl_int_is_pos(bset->ineq[i][offset+pos])) {
 424                                 lower_line = &bset->ineq[i];
 425                                 upper_line = &bset->ineq[j];
 426                         } else {
 427                                 lower_line = &bset->ineq[j];
 428                                 upper_line = &bset->ineq[i];
 429                         }
 430                         *lower = isl_basic_set_constraint(
 431                                         isl_basic_set_copy(bset), lower_line);
 432                         *upper = isl_basic_set_constraint(
 433                                         isl_basic_set_copy(bset), upper_line);
 434                         isl_int_clear(m);
 435                         return 1;
 436                 }
 437         }
 438         *lower = NULL;
 439         *upper = NULL;
 440         isl_int_clear(m);
 441         return 0;
 442 }