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         if (c->line >= c->bmap->eq) {
 157                 c->line++;
 158                 if (c->line < c->bmap->eq + c->bmap->n_eq)
 159                         return c;
 160                 c->line = c->bmap->ineq;
 161         } else
 162                 c->line++;
 163         if (c->line < c->bmap->ineq + c->bmap->n_ineq)
 164                 return c;
 165         isl_constraint_free(c);
 166         return NULL;
 167 }
 168
 169 int isl_constraint_is_equal(struct isl_constraint *constraint1,
 170         struct isl_constraint *constraint2)
 171 {
 172         if (!constraint1 || !constraint2)
 173                 return 0;
 174         return constraint1->bmap == constraint2->bmap &&
 175                constraint1->line == constraint2->line;
 176 }
 177
 178 struct isl_basic_map *isl_basic_map_add_constraint(
 179         struct isl_basic_map *bmap, struct isl_constraint *constraint)
 180 {
 181         if (!bmap || !constraint)
 182                 goto error;
 183
 184         isl_assert(constraint->ctx,
 185                 isl_dim_equal(bmap->dim, constraint->bmap->dim), goto error);
 186
 187         bmap = isl_basic_map_intersect(bmap,
 188                                     isl_basic_map_copy(constraint->bmap));
 189         isl_constraint_free(constraint);
 190         return bmap;
 191 error:
 192         isl_basic_map_free(bmap);
 193         isl_constraint_free(constraint);
 194         return NULL;
 195 }
 196
 197 struct isl_basic_set *isl_basic_set_add_constraint(
 198         struct isl_basic_set *bset, struct isl_constraint *constraint)
 199 {
 200         return (struct isl_basic_set *)
 201                 isl_basic_map_add_constraint((struct isl_basic_map *)bset,
 202                                                 constraint);
 203 }
 204
 205 struct isl_constraint *isl_constraint_add_div(struct isl_constraint *constraint,
 206         struct isl_div *div, int *pos)
 207 {
 208         if (!constraint || !div)
 209                 goto error;
 210
 211         isl_assert(constraint->ctx,
 212             isl_dim_equal(div->bmap->dim, constraint->bmap->dim), goto error);
 213         isl_assert(constraint->ctx,
 214             constraint->bmap->n_eq + constraint->bmap->n_ineq == 1, goto error);
 215
 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(constraint->bmap, constraint->bmap->div+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         struct isl_basic_set *bset;
 289         unsigned total;
 290
 291         if (!constraint)
 292                 return;
 293         total = isl_basic_map_total_dim(constraint->bmap);
 294         isl_seq_clr(constraint->line[0], 1 + total);
 295 }
 296
 297 struct isl_constraint *isl_constraint_negate(struct isl_constraint *constraint)
 298 {
 299         unsigned total;
 300
 301         if (!constraint)
 302                 return NULL;
 303
 304         isl_assert(constraint->ctx, !isl_constraint_is_equality(constraint),
 305                         goto error);
 306         isl_assert(constraint->ctx, constraint->bmap->ref == 1, goto error);
 307         total = isl_basic_map_total_dim(constraint->bmap);
 308         isl_seq_neg(constraint->line[0], constraint->line[0], 1 + total);
 309         isl_int_sub_ui(constraint->line[0][0], constraint->line[0][0], 1);
 310         ISL_F_CLR(constraint->bmap, ISL_BASIC_MAP_NORMALIZED);
 311         return constraint;
 312 error:
 313         isl_constraint_free(constraint);
 314         return NULL;
 315 }
 316
 317 int isl_constraint_is_equality(struct isl_constraint *constraint)
 318 {
 319         if (!constraint)
 320                 return -1;
 321         return constraint->line >= constraint->bmap->eq;
 322 }
 323
 324
 325 struct isl_basic_set *isl_basic_set_from_constraint(
 326         struct isl_constraint *constraint)
 327 {
 328         int k;
 329         struct isl_basic_set *constraint_bset, *bset;
 330         isl_int *c;
 331         unsigned dim;
 332         unsigned nparam;
 333         unsigned total;
 334
 335         if (!constraint)
 336                 return NULL;
 337
 338         isl_assert(constraint->ctx,n(constraint, isl_dim_in) == 0, goto error);
 339
 340         constraint_bset = (struct isl_basic_set *)constraint->bmap;
 341         bset = isl_basic_set_universe_like(constraint_bset);
 342         bset = isl_basic_set_align_divs(bset, constraint_bset);
 343         nparam = isl_basic_set_n_param(bset);
 344         dim = isl_basic_set_n_dim(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 + i; 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 }