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_from_constraint(constraint));
 188         return bmap;
 189 error:
 190         isl_basic_map_free(bmap);
 191         isl_constraint_free(constraint);
 192         return NULL;
 193 }
 194
 195 struct isl_basic_set *isl_basic_set_add_constraint(
 196         struct isl_basic_set *bset, struct isl_constraint *constraint)
 197 {
 198         return (struct isl_basic_set *)
 199                 isl_basic_map_add_constraint((struct isl_basic_map *)bset,
 200                                                 constraint);
 201 }
 202
 203 struct isl_constraint *isl_constraint_add_div(struct isl_constraint *constraint,
 204         struct isl_div *div, int *pos)
 205 {
 206         if (!constraint || !div)
 207                 goto error;
 208
 209         isl_assert(constraint->ctx,
 210             isl_dim_equal(div->bmap->dim, constraint->bmap->dim), goto error);
 211         isl_assert(constraint->ctx,
 212             constraint->bmap->n_eq + constraint->bmap->n_ineq == 1, goto error);
 213
 214         constraint->bmap = isl_basic_map_cow(constraint->bmap);
 215         constraint->bmap = isl_basic_map_extend_dim(constraint->bmap,
 216                                 isl_dim_copy(constraint->bmap->dim), 1, 0, 0);
 217         if (!constraint->bmap)
 218                 goto error;
 219         constraint->line = &constraint->bmap->eq[0];
 220         *pos = isl_basic_map_alloc_div(constraint->bmap);
 221         if (*pos < 0)
 222                 goto error;
 223         isl_seq_cpy(constraint->bmap->div[*pos], div->line[0],
 224                         1 + 1 + isl_basic_map_total_dim(constraint->bmap));
 225         isl_div_free(div);
 226         return constraint;
 227 error:
 228         isl_constraint_free(constraint);
 229         isl_div_free(div);
 230         return NULL;
 231 }
 232
 233 int isl_constraint_dim(struct isl_constraint *constraint,
 234         enum isl_dim_type type)
 235 {
 236         if (!constraint)
 237                 return -1;
 238         return n(constraint, type);
 239 }
 240
 241 void isl_constraint_get_constant(struct isl_constraint *constraint, isl_int *v)
 242 {
 243         if (!constraint)
 244                 return;
 245         isl_int_set(*v, constraint->line[0][0]);
 246 }
 247
 248 void isl_constraint_get_coefficient(struct isl_constraint *constraint,
 249         enum isl_dim_type type, int pos, isl_int *v)
 250 {
 251         if (!constraint)
 252                 return;
 253
 254         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 255         isl_int_set(*v, constraint->line[0][offset(constraint, type) + pos]);
 256 }
 257
 258 struct isl_div *isl_constraint_div(struct isl_constraint *constraint, int pos)
 259 {
 260         if (!constraint)
 261                 return NULL;
 262
 263         isl_assert(constraint->ctx, pos < n(constraint, isl_dim_div),
 264                         return NULL);
 265         return isl_basic_map_div(isl_basic_map_copy(constraint->bmap), pos);
 266 }
 267
 268 void isl_constraint_set_constant(struct isl_constraint *constraint, isl_int v)
 269 {
 270         if (!constraint)
 271                 return;
 272         isl_int_set(constraint->line[0][0], v);
 273 }
 274
 275 void isl_constraint_set_coefficient(struct isl_constraint *constraint,
 276         enum isl_dim_type type, int pos, isl_int v)
 277 {
 278         if (!constraint)
 279                 return;
 280
 281         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 282         isl_int_set(constraint->line[0][offset(constraint, type) + pos], v);
 283 }
 284
 285 void isl_constraint_clear(struct isl_constraint *constraint)
 286 {
 287         unsigned total;
 288
 289         if (!constraint)
 290                 return;
 291         total = isl_basic_map_total_dim(constraint->bmap);
 292         isl_seq_clr(constraint->line[0], 1 + total);
 293 }
 294
 295 struct isl_constraint *isl_constraint_negate(struct isl_constraint *constraint)
 296 {
 297         unsigned total;
 298
 299         if (!constraint)
 300                 return NULL;
 301
 302         isl_assert(constraint->ctx, !isl_constraint_is_equality(constraint),
 303                         goto error);
 304         isl_assert(constraint->ctx, constraint->bmap->ref == 1, goto error);
 305         total = isl_basic_map_total_dim(constraint->bmap);
 306         isl_seq_neg(constraint->line[0], constraint->line[0], 1 + total);
 307         isl_int_sub_ui(constraint->line[0][0], constraint->line[0][0], 1);
 308         ISL_F_CLR(constraint->bmap, ISL_BASIC_MAP_NORMALIZED);
 309         return constraint;
 310 error:
 311         isl_constraint_free(constraint);
 312         return NULL;
 313 }
 314
 315 int isl_constraint_is_equality(struct isl_constraint *constraint)
 316 {
 317         if (!constraint)
 318                 return -1;
 319         return constraint->line >= constraint->bmap->eq;
 320 }
 321
 322 __isl_give isl_basic_map *isl_basic_map_from_constraint(
 323         __isl_take isl_constraint *constraint)
 324 {
 325         int k;
 326         struct isl_basic_map *bmap;
 327         isl_int *c;
 328         unsigned total;
 329
 330         if (!constraint)
 331                 return NULL;
 332
 333         if (constraint->bmap->n_eq + constraint->bmap->n_ineq == 1) {
 334                 bmap = isl_basic_map_copy(constraint->bmap);
 335                 isl_constraint_free(constraint);
 336                 return bmap;
 337         }
 338
 339         bmap = isl_basic_map_universe_like(constraint->bmap);
 340         bmap = isl_basic_map_align_divs(bmap, constraint->bmap);
 341         bmap = isl_basic_map_cow(bmap);
 342         bmap = isl_basic_map_extend_constraints(bmap, 1, 1);
 343         if (isl_constraint_is_equality(constraint)) {
 344                 k = isl_basic_map_alloc_equality(bmap);
 345                 if (k < 0)
 346                         goto error;
 347                 c = bmap->eq[k];
 348         }
 349         else {
 350                 k = isl_basic_map_alloc_inequality(bmap);
 351                 if (k < 0)
 352                         goto error;
 353                 c = bmap->ineq[k];
 354         }
 355         total = isl_basic_map_total_dim(bmap);
 356         isl_seq_cpy(c, constraint->line[0], 1 + total);
 357         isl_constraint_free(constraint);
 358         return bmap;
 359 error:
 360         isl_constraint_free(constraint);
 361         isl_basic_map_free(bmap);
 362         return NULL;
 363 }
 364
 365 struct isl_basic_set *isl_basic_set_from_constraint(
 366         struct isl_constraint *constraint)
 367 {
 368         if (!constraint)
 369                 return NULL;
 370
 371         isl_assert(constraint->ctx,n(constraint, isl_dim_in) == 0, goto error);
 372         return (isl_basic_set *)isl_basic_map_from_constraint(constraint);
 373 error:
 374         isl_constraint_free(constraint);
 375         return NULL;
 376 }
 377
 378 int isl_basic_set_has_defining_equality(
 379         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 380         struct isl_constraint **c)
 381 {
 382         int i;
 383         unsigned offset;
 384         unsigned total;
 385
 386         if (!bset)
 387                 return -1;
 388         offset = basic_set_offset(bset, type);
 389         total = isl_basic_set_total_dim(bset);
 390         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 391         for (i = 0; i < bset->n_eq; ++i)
 392                 if (!isl_int_is_zero(bset->eq[i][offset + pos]) &&
 393                     isl_seq_first_non_zero(bset->eq[i]+offset+pos+1,
 394                                            1+total-offset-pos-1) == -1) {
 395                         *c= isl_basic_set_constraint(isl_basic_set_copy(bset),
 396                                                                 &bset->eq[i]);
 397                         return 1;
 398                 }
 399         return 0;
 400 }
 401
 402 int isl_basic_set_has_defining_inequalities(
 403         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 404         struct isl_constraint **lower,
 405         struct isl_constraint **upper)
 406 {
 407         int i, j;
 408         unsigned offset;
 409         unsigned total;
 410         isl_int m;
 411         isl_int **lower_line, **upper_line;
 412
 413         if (!bset)
 414                 return -1;
 415         offset = basic_set_offset(bset, type);
 416         total = isl_basic_set_total_dim(bset);
 417         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 418         isl_int_init(m);
 419         for (i = 0; i < bset->n_ineq; ++i) {
 420                 if (isl_int_is_zero(bset->ineq[i][offset + pos]))
 421                         continue;
 422                 if (isl_int_is_one(bset->ineq[i][offset + pos]))
 423                         continue;
 424                 if (isl_int_is_negone(bset->ineq[i][offset + pos]))
 425                         continue;
 426                 if (isl_seq_first_non_zero(bset->ineq[i]+offset+pos+1,
 427                                                 1+total-offset-pos-1) != -1)
 428                         continue;
 429                 for (j = i + 1; j < bset->n_ineq; ++j) {
 430                         if (!isl_seq_is_neg(bset->ineq[i]+1, bset->ineq[j]+1,
 431                                             total))
 432                                 continue;
 433                         isl_int_add(m, bset->ineq[i][0], bset->ineq[j][0]);
 434                         if (isl_int_abs_ge(m, bset->ineq[i][offset+pos]))
 435                                 continue;
 436
 437                         if (isl_int_is_pos(bset->ineq[i][offset+pos])) {
 438                                 lower_line = &bset->ineq[i];
 439                                 upper_line = &bset->ineq[j];
 440                         } else {
 441                                 lower_line = &bset->ineq[j];
 442                                 upper_line = &bset->ineq[i];
 443                         }
 444                         *lower = isl_basic_set_constraint(
 445                                         isl_basic_set_copy(bset), lower_line);
 446                         *upper = isl_basic_set_constraint(
 447                                         isl_basic_set_copy(bset), upper_line);
 448                         isl_int_clear(m);
 449                         return 1;
 450                 }
 451         }
 452         *lower = NULL;
 453         *upper = NULL;
 454         isl_int_clear(m);
 455         return 0;
 456 }