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 struct isl_constraint *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         struct isl_constraint *c;
 140
 141         if (!bset)
 142                 return NULL;
 143
 144         if (bset->n_eq > 0)
 145                 return isl_basic_set_constraint(bset, &bset->eq[0]);
 146
 147         if (bset->n_ineq > 0)
 148                 return isl_basic_set_constraint(bset, &bset->ineq[0]);
 149
 150         isl_basic_set_free(bset);
 151         return NULL;
 152 }
 153
 154 struct isl_constraint *isl_constraint_next(struct isl_constraint *c)
 155 {
 156         c = isl_constraint_cow(c);
 157         if (c->line >= c->bmap->eq) {
 158                 c->line++;
 159                 if (c->line < c->bmap->eq + c->bmap->n_eq)
 160                         return c;
 161                 c->line = c->bmap->ineq;
 162         } else
 163                 c->line++;
 164         if (c->line < c->bmap->ineq + c->bmap->n_ineq)
 165                 return c;
 166         isl_constraint_free(c);
 167         return NULL;
 168 }
 169
 170 int isl_constraint_is_equal(struct isl_constraint *constraint1,
 171         struct isl_constraint *constraint2)
 172 {
 173         if (!constraint1 || !constraint2)
 174                 return 0;
 175         return constraint1->bmap == constraint2->bmap &&
 176                constraint1->line == constraint2->line;
 177 }
 178
 179 struct isl_basic_map *isl_basic_map_add_constraint(
 180         struct isl_basic_map *bmap, struct isl_constraint *constraint)
 181 {
 182         if (!bmap || !constraint)
 183                 goto error;
 184
 185         isl_assert(constraint->ctx,
 186                 isl_dim_equal(bmap->dim, constraint->bmap->dim), goto error);
 187
 188         bmap = isl_basic_map_intersect(bmap,
 189                                     isl_basic_map_copy(constraint->bmap));
 190         isl_constraint_free(constraint);
 191         return bmap;
 192 error:
 193         isl_basic_map_free(bmap);
 194         isl_constraint_free(constraint);
 195         return NULL;
 196 }
 197
 198 struct isl_basic_set *isl_basic_set_add_constraint(
 199         struct isl_basic_set *bset, struct isl_constraint *constraint)
 200 {
 201         return (struct isl_basic_set *)
 202                 isl_basic_map_add_constraint((struct isl_basic_map *)bset,
 203                                                 constraint);
 204 }
 205
 206 struct isl_constraint *isl_constraint_add_div(struct isl_constraint *constraint,
 207         struct isl_div *div, int *pos)
 208 {
 209         if (!constraint || !div)
 210                 goto error;
 211
 212         isl_assert(constraint->ctx,
 213             isl_dim_equal(div->bmap->dim, constraint->bmap->dim), goto error);
 214         isl_assert(constraint->ctx,
 215             constraint->bmap->n_eq + constraint->bmap->n_ineq == 1, goto error);
 216
 217         constraint->bmap = isl_basic_map_cow(constraint->bmap);
 218         constraint->bmap = isl_basic_map_extend_dim(constraint->bmap,
 219                                 isl_dim_copy(constraint->bmap->dim), 1, 0, 0);
 220         if (!constraint->bmap)
 221                 goto error;
 222         constraint->line = &constraint->bmap->eq[0];
 223         *pos = isl_basic_map_alloc_div(constraint->bmap);
 224         if (*pos < 0)
 225                 goto error;
 226         isl_seq_cpy(constraint->bmap->div[*pos], div->line[0],
 227                         1 + 1 + isl_basic_map_total_dim(constraint->bmap));
 228         isl_div_free(div);
 229         return constraint;
 230 error:
 231         isl_constraint_free(constraint);
 232         isl_div_free(div);
 233         return NULL;
 234 }
 235
 236 int isl_constraint_dim(struct isl_constraint *constraint,
 237         enum isl_dim_type type)
 238 {
 239         if (!constraint)
 240                 return -1;
 241         return n(constraint, type);
 242 }
 243
 244 void isl_constraint_get_constant(struct isl_constraint *constraint, isl_int *v)
 245 {
 246         if (!constraint)
 247                 return;
 248         isl_int_set(*v, constraint->line[0][0]);
 249 }
 250
 251 void isl_constraint_get_coefficient(struct isl_constraint *constraint,
 252         enum isl_dim_type type, int pos, isl_int *v)
 253 {
 254         if (!constraint)
 255                 return;
 256
 257         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 258         isl_int_set(*v, constraint->line[0][offset(constraint, type) + pos]);
 259 }
 260
 261 struct isl_div *isl_constraint_div(struct isl_constraint *constraint, int pos)
 262 {
 263         if (!constraint)
 264                 return NULL;
 265
 266         isl_assert(constraint->ctx, pos < n(constraint, isl_dim_div),
 267                         return NULL);
 268         return isl_basic_map_div(isl_basic_map_copy(constraint->bmap), pos);
 269 }
 270
 271 void isl_constraint_set_constant(struct isl_constraint *constraint, isl_int v)
 272 {
 273         if (!constraint)
 274                 return;
 275         isl_int_set(constraint->line[0][0], v);
 276 }
 277
 278 void isl_constraint_set_coefficient(struct isl_constraint *constraint,
 279         enum isl_dim_type type, int pos, isl_int v)
 280 {
 281         if (!constraint)
 282                 return;
 283
 284         isl_assert(constraint->ctx, pos < n(constraint, type), return);
 285         isl_int_set(constraint->line[0][offset(constraint, type) + pos], v);
 286 }
 287
 288 void isl_constraint_clear(struct isl_constraint *constraint)
 289 {
 290         struct isl_basic_set *bset;
 291         unsigned total;
 292
 293         if (!constraint)
 294                 return;
 295         total = isl_basic_map_total_dim(constraint->bmap);
 296         isl_seq_clr(constraint->line[0], 1 + total);
 297 }
 298
 299 struct isl_constraint *isl_constraint_negate(struct isl_constraint *constraint)
 300 {
 301         unsigned total;
 302
 303         if (!constraint)
 304                 return NULL;
 305
 306         isl_assert(constraint->ctx, !isl_constraint_is_equality(constraint),
 307                         goto error);
 308         isl_assert(constraint->ctx, constraint->bmap->ref == 1, goto error);
 309         total = isl_basic_map_total_dim(constraint->bmap);
 310         isl_seq_neg(constraint->line[0], constraint->line[0], 1 + total);
 311         isl_int_sub_ui(constraint->line[0][0], constraint->line[0][0], 1);
 312         ISL_F_CLR(constraint->bmap, ISL_BASIC_MAP_NORMALIZED);
 313         return constraint;
 314 error:
 315         isl_constraint_free(constraint);
 316         return NULL;
 317 }
 318
 319 int isl_constraint_is_equality(struct isl_constraint *constraint)
 320 {
 321         if (!constraint)
 322                 return -1;
 323         return constraint->line >= constraint->bmap->eq;
 324 }
 325
 326
 327 struct isl_basic_set *isl_basic_set_from_constraint(
 328         struct isl_constraint *constraint)
 329 {
 330         int k;
 331         struct isl_basic_set *constraint_bset, *bset;
 332         isl_int *c;
 333         unsigned dim;
 334         unsigned nparam;
 335         unsigned total;
 336
 337         if (!constraint)
 338                 return NULL;
 339
 340         isl_assert(constraint->ctx,n(constraint, isl_dim_in) == 0, goto error);
 341
 342         constraint_bset = (struct isl_basic_set *)constraint->bmap;
 343         bset = isl_basic_set_universe_like(constraint_bset);
 344         bset = isl_basic_set_align_divs(bset, constraint_bset);
 345         nparam = isl_basic_set_n_param(bset);
 346         dim = isl_basic_set_n_dim(bset);
 347         bset = isl_basic_set_cow(bset);
 348         bset = isl_basic_set_extend(bset, nparam, dim, 0, 1, 1);
 349         if (isl_constraint_is_equality(constraint)) {
 350                 k = isl_basic_set_alloc_equality(bset);
 351                 if (k < 0)
 352                         goto error;
 353                 c = bset->eq[k];
 354         }
 355         else {
 356                 k = isl_basic_set_alloc_inequality(bset);
 357                 if (k < 0)
 358                         goto error;
 359                 c = bset->ineq[k];
 360         }
 361         total = isl_basic_set_total_dim(bset);
 362         isl_seq_cpy(c, constraint->line[0], 1 + total);
 363         isl_constraint_free(constraint);
 364         return bset;
 365 error:
 366         isl_constraint_free(constraint);
 367         isl_basic_set_free(bset);
 368         return NULL;
 369 }
 370
 371 int isl_basic_set_has_defining_equality(
 372         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 373         struct isl_constraint **c)
 374 {
 375         int i;
 376         unsigned offset;
 377         unsigned total;
 378
 379         if (!bset)
 380                 return -1;
 381         offset = basic_set_offset(bset, type);
 382         total = isl_basic_set_total_dim(bset);
 383         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 384         for (i = 0; i < bset->n_eq; ++i)
 385                 if (!isl_int_is_zero(bset->eq[i][offset + pos]) &&
 386                     isl_seq_first_non_zero(bset->eq[i]+offset+pos+1,
 387                                            1+total-offset-pos-1) == -1) {
 388                         *c= isl_basic_set_constraint(isl_basic_set_copy(bset),
 389                                                                 &bset->eq[i]);
 390                         return 1;
 391                 }
 392         return 0;
 393 }
 394
 395 int isl_basic_set_has_defining_inequalities(
 396         struct isl_basic_set *bset, enum isl_dim_type type, int pos,
 397         struct isl_constraint **lower,
 398         struct isl_constraint **upper)
 399 {
 400         int i, j;
 401         unsigned offset;
 402         unsigned total;
 403         isl_int m;
 404         isl_int **lower_line, **upper_line;
 405
 406         if (!bset)
 407                 return -1;
 408         offset = basic_set_offset(bset, type);
 409         total = isl_basic_set_total_dim(bset);
 410         isl_assert(bset->ctx, pos < isl_basic_set_dim(bset, type), return -1);
 411         isl_int_init(m);
 412         for (i = 0; i < bset->n_ineq; ++i) {
 413                 if (isl_int_is_zero(bset->ineq[i][offset + pos]))
 414                         continue;
 415                 if (isl_int_is_one(bset->ineq[i][offset + pos]))
 416                         continue;
 417                 if (isl_int_is_negone(bset->ineq[i][offset + pos]))
 418                         continue;
 419                 if (isl_seq_first_non_zero(bset->ineq[i]+offset+pos+1,
 420                                                 1+total-offset-pos-1) != -1)
 421                         continue;
 422                 for (j = i + 1; j < bset->n_ineq; ++j) {
 423                         if (!isl_seq_is_neg(bset->ineq[i]+1, bset->ineq[j]+1,
 424                                             total))
 425                                 continue;
 426                         isl_int_add(m, bset->ineq[i][0], bset->ineq[j][0]);
 427                         if (isl_int_abs_ge(m, bset->ineq[i][offset+pos]))
 428                                 continue;
 429
 430                         if (isl_int_is_pos(bset->ineq[i][offset+pos])) {
 431                                 lower_line = &bset->ineq[i];
 432                                 upper_line = &bset->ineq[j];
 433                         } else {
 434                                 lower_line = &bset->ineq[j];
 435                                 upper_line = &bset->ineq[i];
 436                         }
 437                         *lower = isl_basic_set_constraint(
 438                                         isl_basic_set_copy(bset), lower_line);
 439                         *upper = isl_basic_set_constraint(
 440                                         isl_basic_set_copy(bset), upper_line);
 441                         isl_int_clear(m);
 442                         return 1;
 443                 }
 444         }
 445         *lower = NULL;
 446         *upper = NULL;
 447         isl_int_clear(m);
 448         return 0;
 449 }