isl_constraint.c

   1 #include <isl_constraint.h>
   2 #include "isl_seq.h"
   3 #include "isl_map_private.h"
   4
   5 static unsigned n(struct isl_constraint *c, enum isl_dim_type type)
   6 {
   7         return isl_basic_map_dim(c->bmap, type);
   8 }
   9
  10 static unsigned offset(struct isl_constraint *c, enum isl_dim_type type)
  11 {
  12         struct isl_dim *dim = c->bmap->dim;
  13         switch (type) {
  14         case isl_dim_param:     return 1;
  15         case isl_dim_in:        return 1 + dim->nparam;
  16         case isl_dim_out:       return 1 + dim->nparam + dim->n_in;
  17         case isl_dim_div:       return 1 + dim->nparam + dim->n_in + dim->n_out;
  18         }
  19 }
  20
  21 static unsigned basic_set_offset(struct isl_basic_set *bset,
  22                                                         enum isl_dim_type type)
  23 {
  24         struct isl_dim *dim = bset->dim;
  25         switch (type) {
  26         case isl_dim_param:     return 1;
  27         case isl_dim_in:        return 1 + dim->nparam;
  28         case isl_dim_out:       return 1 + dim->nparam + dim->n_in;
  29         case isl_dim_div:       return 1 + dim->nparam + dim->n_in + dim->n_out;
  30         }
  31 }
  32
  33 struct isl_constraint *isl_basic_map_constraint(struct isl_basic_map *bmap,
  34         isl_int **line)
  35 {
  36         struct isl_constraint *constraint;
  37
  38         if (!bmap || !line)
  39                 goto error;
  40
  41         constraint = isl_alloc_type(bmap->ctx, struct isl_constraint);
  42         if (!constraint)
  43                 goto error;
  44
  45         constraint->ctx = bmap->ctx;
  46         isl_ctx_ref(constraint->ctx);
  47         constraint->ref = 1;
  48         constraint->bmap = bmap;
  49         constraint->line = line;
  50
  51         return constraint;
  52 error:
  53         isl_basic_map_free(bmap);
  54         return NULL;
  55 }
  56
  57 struct isl_constraint *isl_basic_set_constraint(struct isl_basic_set *bset,
  58         isl_int **line)
  59 {
  60         return isl_basic_map_constraint((struct isl_basic_map *)bset, line);
  61 }
  62
  63 struct isl_constraint *isl_equality_alloc(struct isl_dim *dim)
  64 {
  65         struct isl_basic_map *bmap;
  66
  67         if (!dim)
  68                 return NULL;
  69
  70         bmap = isl_basic_map_alloc_dim(dim, 0, 1, 0);
  71         if (!bmap)
  72                 return NULL;
  73
  74         isl_basic_map_alloc_equality(bmap);
  75         isl_seq_clr(bmap->eq[0], 1 + isl_basic_map_total_dim(bmap));
  76         return isl_basic_map_constraint(bmap, &bmap->eq[0]);
  77 }
  78
  79 struct isl_constraint *isl_inequality_alloc(struct isl_dim *dim)
  80 {
  81         struct isl_basic_map *bmap;
  82
  83         if (!dim)
  84                 return NULL;
  85
  86         bmap = isl_basic_map_alloc_dim(dim, 0, 0, 1);
  87         if (!bmap)
  88                 return NULL;
  89
  90         isl_basic_map_alloc_inequality(bmap);
  91         isl_seq_clr(bmap->ineq[0], 1 + isl_basic_map_total_dim(bmap));
  92         return isl_basic_map_constraint(bmap, &bmap->ineq[0]);
  93 }
  94
  95 struct isl_constraint *isl_constraint_dup(struct isl_constraint *c)
  96 {
  97         if (!c)
  98                 return NULL;
  99
 100         return isl_basic_map_constraint(isl_basic_map_copy(c->bmap), c->line);
 101 }
 102
 103 struct isl_constraint *isl_constraint_cow(struct isl_constraint *c)
 104 {
 105         if (!c)
 106                 return NULL;
 107
 108         if (c->ref == 1)
 109                 return c;
 110         c->ref--;
 111         return isl_constraint_dup(c);
 112 }
 113
 114 struct isl_constraint *isl_constraint_copy(struct isl_constraint *constraint)
 115 {
 116         if (!constraint)
 117                 return NULL;
 118
 119         constraint->ref++;
 120         return constraint;
 121 }
 122
 123 void isl_constraint_free(struct isl_constraint *c)
 124 {
 125         if (!c)
 126                 return;
 127
 128         if (--c->ref > 0)
 129                 return;
 130
 131         isl_basic_map_free(c->bmap);
 132         isl_ctx_deref(c->ctx);
 133         free(c);
 134 }
 135
 136 struct isl_constraint *isl_basic_set_first_constraint(
 137         struct isl_basic_set *bset)
 138 {
 139         if (!bset)
 140                 return NULL;
 141
 142         if (bset->n_eq > 0)
 143                 return isl_basic_set_constraint(bset, &bset->eq[0]);
 144
 145         if (bset->n_ineq > 0)
 146                 return isl_basic_set_constraint(bset, &bset->ineq[0]);
 147
 148         isl_basic_set_free(bset);
 149         return NULL;
 150 }
 151
 152 struct isl_constraint *isl_constraint_next(struct isl_constraint *c)
 153 {
 154         c = isl_constraint_cow(c);
 155         if (c->line >= c->bmap->eq) {
 156                 c->line++;
 157                 if (c->line < c->bmap->eq + c->bmap->n_eq)
 158                         return c;
 159                 c->line = c->bmap->ineq;
 160         } else
 161                 c->line++;
 162         if (c->line < c->bmap->ineq + c->bmap->n_ineq)
 163                 return c;
 164         isl_constraint_free(c);
 165         return NULL;
 166 }
 167
 168 int isl_constraint_is_equal(struct isl_constraint *constraint1,
 169         struct isl_constraint *constraint2)
 170 {
 171         if (!constraint1 || !constraint2)
 172                 return 0;
 173         return constraint1->bmap == constraint2->bmap &&
 174                constraint1->line == constraint2->line;
 175 }
 176
 177 struct isl_basic_map *isl_basic_map_add_constraint(
 178         struct isl_basic_map *bmap, struct isl_constraint *constraint)
 179 {
 180         if (!bmap || !constraint)
 181                 goto error;
 182
 183         isl_assert(constraint->ctx,
 184                 isl_dim_equal(bmap->dim, constraint->bmap->dim), goto error);
 185
 186         bmap = isl_basic_map_intersect(bmap,
 187                                     isl_basic_map_copy(constraint->bmap));
 188         isl_constraint_free(constraint);
 189         return bmap;
 190 error:
 191         isl_basic_map_free(bmap);
 192         isl_constraint_free(constraint);
 193         return NULL;
 194 }
 195
 196 struct isl_basic_set *isl_basic_set_add_constraint(
 197         struct isl_basic_set *bset, struct isl_constraint *constraint)
 198 {
 199         return (struct isl_basic_set *)
 200                 isl_basic_map_add_constraint((struct isl_basic_map *)bset,
 201                                                 constraint);
 202 }
 203
 204 struct isl_constraint *isl_constraint_add_div(struct isl_constraint *constraint,
 205         struct isl_div *div, int *pos)
 206 {
 207         if (!constraint || !div)
 208                 goto error;
 209
 210         isl_assert(constraint->ctx,
 211             isl_dim_equal(div->bmap->dim, constraint->bmap->dim), goto error);
 212         isl_assert(constraint->ctx,
 213             constraint->bmap->n_eq + constraint->bmap->n_ineq == 1, goto error);
 214
 215         constraint->bmap = isl_basic_map_cow(constraint->bmap);
 216         constraint->bmap = isl_basic_map_extend_dim(constraint->bmap,
 217                                 isl_dim_copy(constraint->bmap->dim), 1, 0, 0);
 218         if (!constraint->bmap)
 219                 goto error;
 220         constraint->line = &constraint->bmap->eq[0];
 221         *pos = isl_basic_map_alloc_div(constraint->bmap);
 222         if (*pos < 0)
 223                 goto error;
 224         isl_seq_cpy(constraint->bmap->div[*pos], div->line[0],
 225                         1 + 1 + isl_basic_map_total_dim(constraint->bmap));
 226         isl_div_free(div);
 227         return constraint;
 228 error:
 229         isl_constraint_free(constraint);
 230         isl_div_free(div);
 231         return NULL;
 232 }
 233
 234 int isl_constraint_dim(struct isl_constraint *constraint,
 235         enum isl_dim_type type)
 236 {
 237         if (!constraint)
 238                 return -1;
 239         return n(constraint, type);
 240 }
 241
 242 void isl_constraint_get_constant(struct isl_constraint *constraint, isl_int *v)
 243 {
 244         if (!constraint)
 245                 return;
 246         isl_int_set(*v, constraint->line[0][0]);
 247 }
 248
 249 void isl_constraint_get_coefficient(struct isl_constraint *constraint,
 250         enum isl_dim_type type, int pos, isl_int *v)
 251 {
 252         if (!constraint)
 253                 return;
 254
 255         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 256         isl_int_set(*v, constraint->line[0][offset(constraint, type) + pos]);
 257 }
 258
 259 struct isl_div *isl_constraint_div(struct isl_constraint *constraint, int pos)
 260 {
 261         if (!constraint)
 262                 return NULL;
 263
 264         isl_assert(constraint->ctx, pos < n(constraint, isl_dim_div),
 265                         return NULL);
 266         return isl_basic_map_div(isl_basic_map_copy(constraint->bmap), pos);
 267 }
 268
 269 void isl_constraint_set_constant(struct isl_constraint *constraint, isl_int v)
 270 {
 271         if (!constraint)
 272                 return;
 273         isl_int_set(constraint->line[0][0], v);
 274 }
 275
 276 void isl_constraint_set_coefficient(struct isl_constraint *constraint,
 277         enum isl_dim_type type, int pos, isl_int v)
 278 {
 279         if (!constraint)
 280                 return;
 281
 282         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 283         isl_int_set(constraint->line[0][offset(constraint, type) + pos], v);
 284 }
 285
 286 void isl_constraint_clear(struct isl_constraint *constraint)
 287 {
 288         unsigned total;
 289
 290         if (!constraint)
 291                 return;
 292         total = isl_basic_map_total_dim(constraint->bmap);
 293         isl_seq_clr(constraint->line[0], 1 + total);
 294 }
 295
 296 struct isl_constraint *isl_constraint_negate(struct isl_constraint *constraint)
 297 {
 298         unsigned total;
 299
 300         if (!constraint)
 301                 return NULL;
 302
 303         isl_assert(constraint->ctx, !isl_constraint_is_equality(constraint),
 304                         goto error);
 305         isl_assert(constraint->ctx, constraint->bmap->ref == 1, goto error);
 306         total = isl_basic_map_total_dim(constraint->bmap);
 307         isl_seq_neg(constraint->line[0], constraint->line[0], 1 + total);
 308         isl_int_sub_ui(constraint->line[0][0], constraint->line[0][0], 1);
 309         ISL_F_CLR(constraint->bmap, ISL_BASIC_MAP_NORMALIZED);
 310         return constraint;
 311 error:
 312         isl_constraint_free(constraint);
 313         return NULL;
 314 }
 315
 316 int isl_constraint_is_equality(struct isl_constraint *constraint)
 317 {
 318         if (!constraint)
 319                 return -1;
 320         return constraint->line >= constraint->bmap->eq;
 321 }
 322
 323
 324 struct isl_basic_set *isl_basic_set_from_constraint(
 325         struct isl_constraint *constraint)
 326 {
 327         int k;
 328         struct isl_basic_set *constraint_bset, *bset;
 329         isl_int *c;
 330         unsigned dim;
 331         unsigned nparam;
 332         unsigned total;
 333
 334         if (!constraint)
 335                 return NULL;
 336
 337         isl_assert(constraint->ctx,n(constraint, isl_dim_in) == 0, goto error);
 338
 339         constraint_bset = (struct isl_basic_set *)constraint->bmap;
 340         bset = isl_basic_set_universe_like(constraint_bset);
 341         bset = isl_basic_set_align_divs(bset, constraint_bset);
 342         nparam = isl_basic_set_n_param(bset);
 343         dim = isl_basic_set_n_dim(bset);
 344         bset = isl_basic_set_cow(bset);
 345         bset = isl_basic_set_extend(bset, nparam, dim, 0, 1, 1);
 346         if (isl_constraint_is_equality(constraint)) {
 347                 k = isl_basic_set_alloc_equality(bset);
 348                 if (k < 0)
 349                         goto error;
 350                 c = bset->eq[k];
 351         }
 352         else {
 353                 k = isl_basic_set_alloc_inequality(bset);
 354                 if (k < 0)
 355                         goto error;
 356                 c = bset->ineq[k];
 357         }
 358         total = isl_basic_set_total_dim(bset);
 359         isl_seq_cpy(c, constraint->line[0], 1 + total);
 360         isl_constraint_free(constraint);
 361         return bset;
 362 error:
 363         isl_constraint_free(constraint);
 364         isl_basic_set_free(bset);
 365         return NULL;
 366 }
 367
 368 int isl_basic_set_has_defining_equality(
 369         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 370         struct isl_constraint **c)
 371 {
 372         int i;
 373         unsigned offset;
 374         unsigned total;
 375
 376         if (!bset)
 377                 return -1;
 378         offset = basic_set_offset(bset, type);
 379         total = isl_basic_set_total_dim(bset);
 380         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 381         for (i = 0; i < bset->n_eq; ++i)
 382                 if (!isl_int_is_zero(bset->eq[i][offset + pos]) &&
 383                     isl_seq_first_non_zero(bset->eq[i]+offset+pos+1,
 384                                            1+total-offset-pos-1) == -1) {
 385                         *c= isl_basic_set_constraint(isl_basic_set_copy(bset),
 386                                                                 &bset->eq[i]);
 387                         return 1;
 388                 }
 389         return 0;
 390 }
 391
 392 int isl_basic_set_has_defining_inequalities(
 393         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 394         struct isl_constraint **lower,
 395         struct isl_constraint **upper)
 396 {
 397         int i, j;
 398         unsigned offset;
 399         unsigned total;
 400         isl_int m;
 401         isl_int **lower_line, **upper_line;
 402
 403         if (!bset)
 404                 return -1;
 405         offset = basic_set_offset(bset, type);
 406         total = isl_basic_set_total_dim(bset);
 407         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 408         isl_int_init(m);
 409         for (i = 0; i < bset->n_ineq; ++i) {
 410                 if (isl_int_is_zero(bset->ineq[i][offset + pos]))
 411                         continue;
 412                 if (isl_int_is_one(bset->ineq[i][offset + pos]))
 413                         continue;
 414                 if (isl_int_is_negone(bset->ineq[i][offset + pos]))
 415                         continue;
 416                 if (isl_seq_first_non_zero(bset->ineq[i]+offset+pos+1,
 417                                                 1+total-offset-pos-1) != -1)
 418                         continue;
 419                 for (j = i + 1; j < bset->n_ineq; ++j) {
 420                         if (!isl_seq_is_neg(bset->ineq[i]+1, bset->ineq[j]+1,
 421                                             total))
 422                                 continue;
 423                         isl_int_add(m, bset->ineq[i][0], bset->ineq[j][0]);
 424                         if (isl_int_abs_ge(m, bset->ineq[i][offset+pos]))
 425                                 continue;
 426
 427                         if (isl_int_is_pos(bset->ineq[i][offset+pos])) {
 428                                 lower_line = &bset->ineq[i];
 429                                 upper_line = &bset->ineq[j];
 430                         } else {
 431                                 lower_line = &bset->ineq[j];
 432                                 upper_line = &bset->ineq[i];
 433                         }
 434                         *lower = isl_basic_set_constraint(
 435                                         isl_basic_set_copy(bset), lower_line);
 436                         *upper = isl_basic_set_constraint(
 437                                         isl_basic_set_copy(bset), upper_line);
 438                         isl_int_clear(m);
 439                         return 1;
 440                 }
 441         }
 442         *lower = NULL;
 443         *upper = NULL;
 444         isl_int_clear(m);
 445         return 0;
 446 }