isl_input.c

   1 /*
   2  * Copyright 2008-2009 Katholieke Universiteit Leuven
   3  * Copyright 2010      INRIA Saclay
   4  *
   5  * Use of this software is governed by the GNU LGPLv2.1 license
   6  *
   7  * Written by Sven Verdoolaege, K.U.Leuven, Departement
   8  * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
   9  * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
  10  * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
  11  */
  12
  13 #include <ctype.h>
  14 #include <stdio.h>
  15 #include <string.h>
  16 #include <strings.h>
  17 #include <isl_set.h>
  18 #include <isl_seq.h>
  19 #include <isl_div.h>
  20 #include "isl_stream.h"
  21 #include "isl_map_private.h"
  22 #include "isl_obj.h"
  23 #include "isl_polynomial_private.h"
  24 #include <isl_union_map.h>
  25 #include <isl_mat_private.h>
  26
  27 struct variable {
  28         char                    *name;
  29         int                      pos;
  30         isl_vec                 *def;
  31         struct variable         *next;
  32 };
  33
  34 struct vars {
  35         struct isl_ctx  *ctx;
  36         int              n;
  37         struct variable *v;
  38 };
  39
  40 static struct vars *vars_new(struct isl_ctx *ctx)
  41 {
  42         struct vars *v;
  43         v = isl_alloc_type(ctx, struct vars);
  44         if (!v)
  45                 return NULL;
  46         v->ctx = ctx;
  47         v->n = 0;
  48         v->v = NULL;
  49         return v;
  50 }
  51
  52 static void variable_free(struct variable *var)
  53 {
  54         while (var) {
  55                 struct variable *next = var->next;
  56                 isl_vec_free(var->def);
  57                 free(var->name);
  58                 free(var);
  59                 var = next;
  60         }
  61 }
  62
  63 static void vars_free(struct vars *v)
  64 {
  65         if (!v)
  66                 return;
  67         variable_free(v->v);
  68         free(v);
  69 }
  70
  71 static void vars_drop(struct vars *v, int n)
  72 {
  73         struct variable *var;
  74
  75         if (!v || !v->v)
  76                 return;
  77
  78         v->n -= n;
  79
  80         var = v->v;
  81         while (--n >= 0) {
  82                 struct variable *next = var->next;
  83                 isl_vec_free(var->def);
  84                 free(var->name);
  85                 free(var);
  86                 var = next;
  87         }
  88         v->v = var;
  89 }
  90
  91 static struct variable *variable_new(struct vars *v, const char *name, int len,
  92                                 int pos)
  93 {
  94         struct variable *var;
  95         var = isl_alloc_type(v->ctx, struct variable);
  96         if (!var)
  97                 goto error;
  98         var->name = strdup(name);
  99         var->name[len] = '\0';
 100         var->pos = pos;
 101         var->def = NULL;
 102         var->next = v->v;
 103         return var;
 104 error:
 105         variable_free(v->v);
 106         return NULL;
 107 }
 108
 109 static int vars_pos(struct vars *v, const char *s, int len)
 110 {
 111         int pos;
 112         struct variable *q;
 113
 114         if (len == -1)
 115                 len = strlen(s);
 116         for (q = v->v; q; q = q->next) {
 117                 if (strncmp(q->name, s, len) == 0 && q->name[len] == '\0')
 118                         break;
 119         }
 120         if (q)
 121                 pos = q->pos;
 122         else {
 123                 pos = v->n;
 124                 v->v = variable_new(v, s, len, v->n);
 125                 if (!v->v)
 126                         return -1;
 127                 v->n++;
 128         }
 129         return pos;
 130 }
 131
 132 static int vars_add_anon(struct vars *v)
 133 {
 134         v->v = variable_new(v, "", 0, v->n);
 135
 136         if (!v->v)
 137                 return -1;
 138         v->n++;
 139
 140         return 0;
 141 }
 142
 143 static __isl_give isl_basic_map *set_name(__isl_take isl_basic_map *bmap,
 144         enum isl_dim_type type, unsigned pos, char *name)
 145 {
 146         char *prime;
 147
 148         if (!bmap)
 149                 return NULL;
 150         if (!name)
 151                 return bmap;
 152
 153         prime = strchr(name, '\'');
 154         if (prime)
 155                 *prime = '\0';
 156         bmap = isl_basic_map_set_dim_name(bmap, type, pos, name);
 157         if (prime)
 158                 *prime = '\'';
 159
 160         return bmap;
 161 }
 162
 163 static int accept_cst_factor(struct isl_stream *s, isl_int *f)
 164 {
 165         struct isl_token *tok;
 166
 167         tok = isl_stream_next_token(s);
 168         if (!tok || tok->type != ISL_TOKEN_VALUE) {
 169                 isl_stream_error(s, tok, "expecting constant value");
 170                 goto error;
 171         }
 172
 173         isl_int_mul(*f, *f, tok->u.v);
 174
 175         isl_token_free(tok);
 176
 177         if (isl_stream_eat_if_available(s, '*'))
 178                 return accept_cst_factor(s, f);
 179
 180         return 0;
 181 error:
 182         isl_token_free(tok);
 183         return -1;
 184 }
 185
 186 static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v);
 187 static int read_div_definition(struct isl_stream *s, struct vars *v);
 188
 189 static __isl_give isl_vec *accept_affine_factor(struct isl_stream *s,
 190         struct vars *v)
 191 {
 192         struct isl_token *tok = NULL;
 193         isl_vec *aff = NULL;
 194
 195         tok = isl_stream_next_token(s);
 196         if (!tok) {
 197                 isl_stream_error(s, NULL, "unexpected EOF");
 198                 goto error;
 199         }
 200         if (tok->type == ISL_TOKEN_IDENT) {
 201                 int n = v->n;
 202                 int pos = vars_pos(v, tok->u.s, -1);
 203                 if (pos < 0)
 204                         goto error;
 205                 if (pos >= n) {
 206                         isl_stream_error(s, tok, "unknown identifier");
 207                         goto error;
 208                 }
 209
 210                 aff = isl_vec_alloc(v->ctx, 1 + v->n);
 211                 if (!aff)
 212                         goto error;
 213                 isl_seq_clr(aff->el, aff->size);
 214                 isl_int_set_si(aff->el[1 + pos], 1);
 215                 isl_token_free(tok);
 216         } else if (tok->type == ISL_TOKEN_VALUE) {
 217                 if (isl_stream_eat_if_available(s, '*')) {
 218                         aff = accept_affine_factor(s, v);
 219                         aff = isl_vec_scale(aff, tok->u.v);
 220                 } else {
 221                         aff = isl_vec_alloc(v->ctx, 1 + v->n);
 222                         if (!aff)
 223                                 goto error;
 224                         isl_seq_clr(aff->el, aff->size);
 225                         isl_int_set(aff->el[0], tok->u.v);
 226                 }
 227                 isl_token_free(tok);
 228         } else if (tok->type == '(') {
 229                 isl_token_free(tok);
 230                 tok = NULL;
 231                 aff = accept_affine(s, v);
 232                 if (!aff)
 233                         goto error;
 234                 if (isl_stream_eat(s, ')'))
 235                         goto error;
 236         } else if (tok->type == '[') {
 237                 if (vars_add_anon(v) < 0)
 238                         goto error;
 239                 aff = isl_vec_alloc(v->ctx, 1 + v->n);
 240                 if (!aff)
 241                         goto error;
 242                 isl_seq_clr(aff->el, aff->size);
 243                 isl_int_set_si(aff->el[1 + v->n - 1], 1);
 244                 isl_stream_push_token(s, tok);
 245                 tok = NULL;
 246                 if (read_div_definition(s, v) < 0)
 247                         goto error;
 248         } else {
 249                 isl_stream_error(s, tok, "expecting factor");
 250                 goto error;
 251         }
 252         if (isl_stream_eat_if_available(s, '*')) {
 253                 isl_int f;
 254                 isl_int_init(f);
 255                 isl_int_set_si(f, 1);
 256                 if (accept_cst_factor(s, &f) < 0) {
 257                         isl_int_clear(f);
 258                         goto error;
 259                 }
 260                 aff = isl_vec_scale(aff, f);
 261                 isl_int_clear(f);
 262         }
 263
 264         return aff;
 265 error:
 266         isl_token_free(tok);
 267         isl_vec_free(aff);
 268         return NULL;
 269 }
 270
 271 static struct isl_vec *accept_affine(struct isl_stream *s, struct vars *v)
 272 {
 273         struct isl_token *tok = NULL;
 274         struct isl_vec *aff;
 275         int sign = 1;
 276
 277         aff = isl_vec_alloc(v->ctx, 1 + v->n);
 278         if (!aff)
 279                 return NULL;
 280         isl_seq_clr(aff->el, aff->size);
 281
 282         for (;;) {
 283                 tok = isl_stream_next_token(s);
 284                 if (!tok) {
 285                         isl_stream_error(s, NULL, "unexpected EOF");
 286                         goto error;
 287                 }
 288                 if (tok->type == '-') {
 289                         sign = -sign;
 290                         isl_token_free(tok);
 291                         continue;
 292                 }
 293                 if (tok->type == '(' || tok->type == '[' ||
 294                     tok->type == ISL_TOKEN_IDENT) {
 295                         isl_vec *aff2;
 296                         isl_stream_push_token(s, tok);
 297                         tok = NULL;
 298                         aff2 = accept_affine_factor(s, v);
 299                         if (sign < 0)
 300                                 aff2 = isl_vec_scale(aff2, s->ctx->negone);
 301                         aff = isl_vec_zero_extend(aff, 1 + v->n);
 302                         aff = isl_vec_add(aff, aff2);
 303                         if (!aff)
 304                                 goto error;
 305                         sign = 1;
 306                 } else if (tok->type == ISL_TOKEN_VALUE) {
 307                         if (sign < 0)
 308                                 isl_int_neg(tok->u.v, tok->u.v);
 309                         if (isl_stream_eat_if_available(s, '*') ||
 310                             isl_stream_next_token_is(s, ISL_TOKEN_IDENT)) {
 311                                 isl_vec *aff2;
 312                                 aff2 = accept_affine_factor(s, v);
 313                                 aff2 = isl_vec_scale(aff2, tok->u.v);
 314                                 aff = isl_vec_zero_extend(aff, 1 + v->n);
 315                                 aff = isl_vec_add(aff, aff2);
 316                                 if (!aff)
 317                                         goto error;
 318                         } else {
 319                                 isl_int_add(aff->el[0], aff->el[0], tok->u.v);
 320                         }
 321                         sign = 1;
 322                 } else {
 323                         isl_stream_error(s, tok, "unexpected isl_token");
 324                         isl_stream_push_token(s, tok);
 325                         isl_vec_free(aff);
 326                         return NULL;
 327                 }
 328                 isl_token_free(tok);
 329
 330                 tok = isl_stream_next_token(s);
 331                 if (tok && tok->type == '-') {
 332                         sign = -sign;
 333                         isl_token_free(tok);
 334                 } else if (tok && tok->type == '+') {
 335                         /* nothing */
 336                         isl_token_free(tok);
 337                 } else if (tok && tok->type == ISL_TOKEN_VALUE &&
 338                            isl_int_is_neg(tok->u.v)) {
 339                         isl_stream_push_token(s, tok);
 340                 } else {
 341                         if (tok)
 342                                 isl_stream_push_token(s, tok);
 343                         break;
 344                 }
 345         }
 346
 347         return aff;
 348 error:
 349         isl_token_free(tok);
 350         isl_vec_free(aff);
 351         return NULL;
 352 }
 353
 354 /* Add any variables in the variable list "v" that are not already in "bmap"
 355  * as existentially quantified variables in "bmap".
 356  */
 357 static __isl_give isl_basic_map *add_divs(__isl_take isl_basic_map *bmap,
 358         struct vars *v)
 359 {
 360         int i;
 361         int extra;
 362         struct variable *var;
 363
 364         extra = v->n - isl_basic_map_total_dim(bmap);
 365
 366         if (extra == 0)
 367                 return bmap;
 368
 369         bmap = isl_basic_map_extend_dim(bmap, isl_basic_map_get_dim(bmap),
 370                                         extra, 0, 2 * extra);
 371
 372         for (i = 0; i < extra; ++i)
 373                 if (isl_basic_map_alloc_div(bmap) < 0)
 374                         goto error;
 375
 376         for (i = 0, var = v->v; i < extra; ++i, var = var->next) {
 377                 int k = bmap->n_div - 1 - i;
 378
 379                 isl_seq_cpy(bmap->div[k], var->def->el, var->def->size);
 380                 isl_seq_clr(bmap->div[k] + var->def->size,
 381                             2 + v->n - var->def->size);
 382
 383                 if (isl_basic_map_add_div_constraints(bmap, k) < 0)
 384                         goto error;
 385         }
 386
 387         return bmap;
 388 error:
 389         isl_basic_map_free(bmap);
 390         return NULL;
 391 }
 392
 393 static __isl_give isl_basic_map *read_var_def(struct isl_stream *s,
 394         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
 395 {
 396         isl_dim *dim;
 397         isl_basic_map *def = NULL;
 398         struct isl_vec *vec;
 399         int k;
 400         int n;
 401
 402         if (vars_add_anon(v) < 0)
 403                 goto error;
 404         n = v->n;
 405
 406         vec = accept_affine(s, v);
 407         if (!vec)
 408                 goto error;
 409
 410         dim = isl_basic_map_get_dim(bmap);
 411         def = isl_basic_map_universe(dim);
 412         def = add_divs(def, v);
 413         def = isl_basic_map_extend_constraints(def, 1, 0);
 414         k = isl_basic_map_alloc_equality(def);
 415         if (k >= 0) {
 416                 isl_seq_cpy(def->eq[k], vec->el, vec->size);
 417                 isl_int_set_si(def->eq[k][1 + n - 1], -1);
 418         }
 419         isl_vec_free(vec);
 420         if (k < 0)
 421                 goto error;
 422
 423         vars_drop(v, v->n - n);
 424
 425         def = isl_basic_map_simplify(def);
 426         def = isl_basic_map_finalize(def);
 427         bmap = isl_basic_map_intersect(bmap, def);
 428         return bmap;
 429 error:
 430         isl_basic_map_free(bmap);
 431         isl_basic_map_free(def);
 432         return NULL;
 433 }
 434
 435 static __isl_give isl_basic_map *read_var_list(struct isl_stream *s,
 436         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
 437 {
 438         int i = 0;
 439         struct isl_token *tok;
 440
 441         while ((tok = isl_stream_next_token(s)) != NULL) {
 442                 int new_name = 0;
 443
 444                 if (tok->type == ISL_TOKEN_IDENT) {
 445                         int n = v->n;
 446                         int p = vars_pos(v, tok->u.s, -1);
 447                         if (p < 0)
 448                                 goto error;
 449                         new_name = p >= n;
 450                 }
 451
 452                 if (new_name) {
 453                         bmap = isl_basic_map_add(bmap, type, 1);
 454                         bmap = set_name(bmap, type, i, v->v->name);
 455                         isl_token_free(tok);
 456                 } else if (tok->type == ISL_TOKEN_IDENT ||
 457                            tok->type == ISL_TOKEN_VALUE ||
 458                            tok->type == '-' ||
 459                            tok->type == '(') {
 460                         if (type == isl_dim_param) {
 461                                 isl_stream_error(s, tok,
 462                                                 "expecting unique identifier");
 463                                 goto error;
 464                         }
 465                         isl_stream_push_token(s, tok);
 466                         tok = NULL;
 467                         bmap = isl_basic_map_add(bmap, type, 1);
 468                         bmap = read_var_def(s, bmap, type, v);
 469                 } else
 470                         break;
 471
 472                 tok = isl_stream_next_token(s);
 473                 if (!tok || tok->type != ',')
 474                         break;
 475
 476                 isl_token_free(tok);
 477                 i++;
 478         }
 479         if (tok)
 480                 isl_stream_push_token(s, tok);
 481
 482         return bmap;
 483 error:
 484         isl_token_free(tok);
 485         isl_basic_map_free(bmap);
 486         return NULL;
 487 }
 488
 489 static __isl_give isl_mat *accept_affine_list(struct isl_stream *s,
 490         struct vars *v)
 491 {
 492         struct isl_vec *vec;
 493         struct isl_mat *mat;
 494         struct isl_token *tok = NULL;
 495
 496         vec = accept_affine(s, v);
 497         mat = isl_mat_from_row_vec(vec);
 498         if (!mat)
 499                 return NULL;
 500
 501         for (;;) {
 502                 tok = isl_stream_next_token(s);
 503                 if (!tok) {
 504                         isl_stream_error(s, NULL, "unexpected EOF");
 505                         goto error;
 506                 }
 507                 if (tok->type != ',') {
 508                         isl_stream_push_token(s, tok);
 509                         break;
 510                 }
 511                 isl_token_free(tok);
 512
 513                 vec = accept_affine(s, v);
 514                 mat = isl_mat_add_zero_cols(mat, 1 + v->n - isl_mat_cols(mat));
 515                 mat = isl_mat_vec_concat(mat, vec);
 516                 if (!mat)
 517                         return NULL;
 518         }
 519
 520         return mat;
 521 error:
 522         isl_mat_free(mat);
 523         return NULL;
 524 }
 525
 526 static int read_div_definition(struct isl_stream *s, struct vars *v)
 527 {
 528         struct isl_token *tok;
 529         int seen_paren = 0;
 530         struct isl_vec *aff;
 531         struct variable *var;
 532
 533         if (isl_stream_eat(s, '['))
 534                 return -1;
 535
 536         tok = isl_stream_next_token(s);
 537         if (!tok)
 538                 return -1;
 539         if (tok->type == '(') {
 540                 seen_paren = 1;
 541                 isl_token_free(tok);
 542         } else
 543                 isl_stream_push_token(s, tok);
 544
 545         var = v->v;
 546
 547         aff = accept_affine(s, v);
 548         if (!aff)
 549                 return -1;
 550
 551         var->def = isl_vec_alloc(s->ctx, 2 + v->n);
 552         if (!var->def) {
 553                 isl_vec_free(aff);
 554                 return -1;
 555         }
 556
 557         isl_seq_cpy(var->def->el + 1, aff->el, aff->size);
 558
 559         isl_vec_free(aff);
 560
 561         if (seen_paren && isl_stream_eat(s, ')'))
 562                 return -1;
 563         if (isl_stream_eat(s, '/'))
 564                 return -1;
 565
 566         tok = isl_stream_next_token(s);
 567         if (!tok)
 568                 return -1;
 569         if (tok->type != ISL_TOKEN_VALUE) {
 570                 isl_stream_error(s, tok, "expected denominator");
 571                 isl_stream_push_token(s, tok);
 572                 return -1;
 573         }
 574         isl_int_set(var->def->el[0], tok->u.v);
 575         isl_token_free(tok);
 576
 577         if (isl_stream_eat(s, ']'))
 578                 return -1;
 579
 580         return 0;
 581 }
 582
 583 static struct isl_basic_map *add_div_definition(struct isl_stream *s,
 584         struct vars *v, struct isl_basic_map *bmap, int k)
 585 {
 586         struct variable *var = v->v;
 587
 588         if (read_div_definition(s, v) < 0)
 589                 goto error;
 590
 591         isl_seq_cpy(bmap->div[k], var->def->el, 2 + v->n);
 592
 593         if (isl_basic_map_add_div_constraints(bmap, k) < 0)
 594                 goto error;
 595
 596         return bmap;
 597 error:
 598         isl_basic_map_free(bmap);
 599         return NULL;
 600 }
 601
 602 static struct isl_basic_map *read_defined_var_list(struct isl_stream *s,
 603         struct vars *v, struct isl_basic_map *bmap)
 604 {
 605         struct isl_token *tok;
 606
 607         while ((tok = isl_stream_next_token(s)) != NULL) {
 608                 int k;
 609                 int p;
 610                 int n = v->n;
 611                 unsigned total = isl_basic_map_total_dim(bmap);
 612
 613                 if (tok->type != ISL_TOKEN_IDENT)
 614                         break;
 615
 616                 p = vars_pos(v, tok->u.s, -1);
 617                 if (p < 0)
 618                         goto error;
 619                 if (p < n) {
 620                         isl_stream_error(s, tok, "expecting unique identifier");
 621                         goto error;
 622                 }
 623
 624                 bmap = isl_basic_map_cow(bmap);
 625                 bmap = isl_basic_map_extend_dim(bmap, isl_dim_copy(bmap->dim),
 626                                                 1, 0, 2);
 627
 628                 if ((k = isl_basic_map_alloc_div(bmap)) < 0)
 629                         goto error;
 630                 isl_seq_clr(bmap->div[k], 1 + 1 + total);
 631
 632                 isl_token_free(tok);
 633                 tok = isl_stream_next_token(s);
 634                 if (tok && tok->type == '=') {
 635                         isl_token_free(tok);
 636                         bmap = add_div_definition(s, v, bmap, k);
 637                         tok = isl_stream_next_token(s);
 638                 }
 639
 640                 if (!tok || tok->type != ',')
 641                         break;
 642
 643                 isl_token_free(tok);
 644         }
 645         if (tok)
 646                 isl_stream_push_token(s, tok);
 647
 648         return bmap;
 649 error:
 650         isl_token_free(tok);
 651         isl_basic_map_free(bmap);
 652         return NULL;
 653 }
 654
 655 static int next_is_tuple(struct isl_stream *s)
 656 {
 657         struct isl_token *tok;
 658         int is_tuple;
 659
 660         tok = isl_stream_next_token(s);
 661         if (!tok)
 662                 return 0;
 663         if (tok->type == '[') {
 664                 isl_stream_push_token(s, tok);
 665                 return 1;
 666         }
 667         if (tok->type != ISL_TOKEN_IDENT) {
 668                 isl_stream_push_token(s, tok);
 669                 return 0;
 670         }
 671
 672         is_tuple = isl_stream_next_token_is(s, '[');
 673
 674         isl_stream_push_token(s, tok);
 675
 676         return is_tuple;
 677 }
 678
 679 static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
 680         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v);
 681
 682 static __isl_give isl_basic_map *read_nested_tuple(struct isl_stream *s,
 683         __isl_take isl_basic_map *bmap, struct vars *v)
 684 {
 685         bmap = read_tuple(s, bmap, isl_dim_in, v);
 686         if (isl_stream_eat(s, ISL_TOKEN_TO))
 687                 goto error;
 688         bmap = read_tuple(s, bmap, isl_dim_out, v);
 689         bmap = isl_basic_map_from_range(isl_basic_map_wrap(bmap));
 690         return bmap;
 691 error:
 692         isl_basic_map_free(bmap);
 693         return NULL;
 694 }
 695
 696 static __isl_give isl_basic_map *read_tuple(struct isl_stream *s,
 697         __isl_take isl_basic_map *bmap, enum isl_dim_type type, struct vars *v)
 698 {
 699         struct isl_token *tok;
 700         char *name = NULL;
 701
 702         tok = isl_stream_next_token(s);
 703         if (tok && tok->type == ISL_TOKEN_IDENT) {
 704                 name = strdup(tok->u.s);
 705                 if (!name)
 706                         goto error;
 707                 isl_token_free(tok);
 708                 tok = isl_stream_next_token(s);
 709         }
 710         if (!tok || tok->type != '[') {
 711                 isl_stream_error(s, tok, "expecting '['");
 712                 goto error;
 713         }
 714         isl_token_free(tok);
 715         if (type != isl_dim_param && next_is_tuple(s)) {
 716                 isl_dim *dim = isl_basic_map_get_dim(bmap);
 717                 int nparam = isl_dim_size(dim, isl_dim_param);
 718                 int n_in = isl_dim_size(dim, isl_dim_in);
 719                 isl_basic_map *nested;
 720                 if (type == isl_dim_out)
 721                         dim = isl_dim_move(dim, isl_dim_param, nparam,
 722                                                 isl_dim_in, 0, n_in);
 723                 nested = isl_basic_map_alloc_dim(dim, 0, 0, 0);
 724                 nested = read_nested_tuple(s, nested, v);
 725                 if (type == isl_dim_in) {
 726                         nested = isl_basic_map_reverse(nested);
 727                         bmap = isl_basic_map_intersect(nested, bmap);
 728                 } else {
 729                         isl_basic_set *bset;
 730                         dim = isl_dim_range(isl_basic_map_get_dim(nested));
 731                         dim = isl_dim_drop(dim, isl_dim_param, nparam, n_in);
 732                         dim = isl_dim_join(isl_basic_map_get_dim(bmap), dim);
 733                         bset = isl_basic_map_domain(bmap);
 734                         nested = isl_basic_map_reset_dim(nested, dim);
 735                         bmap = isl_basic_map_intersect_domain(nested, bset);
 736                 }
 737         } else
 738                 bmap = read_var_list(s, bmap, type, v);
 739         tok = isl_stream_next_token(s);
 740         if (!tok || tok->type != ']') {
 741                 isl_stream_error(s, tok, "expecting ']'");
 742                 goto error;
 743         }
 744         isl_token_free(tok);
 745
 746         if (name) {
 747                 bmap = isl_basic_map_set_tuple_name(bmap, type, name);
 748                 free(name);
 749         }
 750
 751         return bmap;
 752 error:
 753         if (tok)
 754                 isl_token_free(tok);
 755         isl_basic_map_free(bmap);
 756         return NULL;
 757 }
 758
 759 static struct isl_basic_map *add_constraints(struct isl_stream *s,
 760         struct vars *v, struct isl_basic_map *bmap);
 761
 762 static struct isl_basic_map *add_exists(struct isl_stream *s,
 763         struct vars *v, struct isl_basic_map *bmap)
 764 {
 765         struct isl_token *tok;
 766         int n = v->n;
 767         int extra;
 768         int seen_paren = 0;
 769         int i;
 770         unsigned total;
 771
 772         tok = isl_stream_next_token(s);
 773         if (!tok)
 774                 goto error;
 775         if (tok->type == '(') {
 776                 seen_paren = 1;
 777                 isl_token_free(tok);
 778         } else
 779                 isl_stream_push_token(s, tok);
 780
 781         bmap = read_defined_var_list(s, v, bmap);
 782         if (!bmap)
 783                 goto error;
 784
 785         if (isl_stream_eat(s, ':'))
 786                 goto error;
 787         bmap = add_constraints(s, v, bmap);
 788         if (seen_paren && isl_stream_eat(s, ')'))
 789                 goto error;
 790         return bmap;
 791 error:
 792         isl_basic_map_free(bmap);
 793         return NULL;
 794 }
 795
 796 static __isl_give isl_basic_map *construct_constraint(
 797         __isl_take isl_basic_map *bmap, enum isl_token_type type,
 798         isl_int *left, isl_int *right)
 799 {
 800         int k;
 801         unsigned len;
 802         struct isl_ctx *ctx;
 803
 804         if (!bmap)
 805                 return NULL;
 806         len = 1 + isl_basic_map_total_dim(bmap);
 807         ctx = bmap->ctx;
 808
 809         k = isl_basic_map_alloc_inequality(bmap);
 810         if (k < 0)
 811                 goto error;
 812         if (type == ISL_TOKEN_LE)
 813                 isl_seq_combine(bmap->ineq[k], ctx->negone, left,
 814                                                ctx->one, right,
 815                                                len);
 816         else if (type == ISL_TOKEN_GE)
 817                 isl_seq_combine(bmap->ineq[k], ctx->one, left,
 818                                                ctx->negone, right,
 819                                                len);
 820         else if (type == ISL_TOKEN_LT) {
 821                 isl_seq_combine(bmap->ineq[k], ctx->negone, left,
 822                                                ctx->one, right,
 823                                                len);
 824                 isl_int_sub_ui(bmap->ineq[k][0], bmap->ineq[k][0], 1);
 825         } else if (type == ISL_TOKEN_GT) {
 826                 isl_seq_combine(bmap->ineq[k], ctx->one, left,
 827                                                ctx->negone, right,
 828                                                len);
 829                 isl_int_sub_ui(bmap->ineq[k][0], bmap->ineq[k][0], 1);
 830         } else {
 831                 isl_seq_combine(bmap->ineq[k], ctx->one, left,
 832                                                ctx->negone, right,
 833                                                len);
 834                 isl_basic_map_inequality_to_equality(bmap, k);
 835         }
 836
 837         return bmap;
 838 error:
 839         isl_basic_map_free(bmap);
 840         return NULL;
 841 }
 842
 843 static int is_comparator(struct isl_token *tok)
 844 {
 845         if (!tok)
 846                 return 0;
 847
 848         switch (tok->type) {
 849         case ISL_TOKEN_LT:
 850         case ISL_TOKEN_GT:
 851         case ISL_TOKEN_LE:
 852         case ISL_TOKEN_GE:
 853         case '=':
 854                 return 1;
 855         default:
 856                 return 0;
 857         }
 858 }
 859
 860 static struct isl_basic_map *add_constraint(struct isl_stream *s,
 861         struct vars *v, struct isl_basic_map *bmap)
 862 {
 863         int i, j;
 864         struct isl_token *tok = NULL;
 865         struct isl_mat *aff1 = NULL, *aff2 = NULL;
 866
 867         tok = isl_stream_next_token(s);
 868         if (!tok)
 869                 goto error;
 870         if (tok->type == ISL_TOKEN_EXISTS) {
 871                 isl_token_free(tok);
 872                 return add_exists(s, v, bmap);
 873         }
 874         isl_stream_push_token(s, tok);
 875         tok = NULL;
 876
 877         bmap = isl_basic_map_cow(bmap);
 878
 879         aff1 = accept_affine_list(s, v);
 880         if (!aff1)
 881                 goto error;
 882         tok = isl_stream_next_token(s);
 883         if (!is_comparator(tok)) {
 884                 isl_stream_error(s, tok, "missing operator");
 885                 if (tok)
 886                         isl_stream_push_token(s, tok);
 887                 tok = NULL;
 888                 goto error;
 889         }
 890         for (;;) {
 891                 aff2 = accept_affine_list(s, v);
 892                 if (!aff2)
 893                         goto error;
 894
 895                 aff1 = isl_mat_add_zero_cols(aff1, aff2->n_col - aff1->n_col);
 896                 if (!aff1)
 897                         goto error;
 898                 bmap = add_divs(bmap, v);
 899                 bmap = isl_basic_map_extend_constraints(bmap, 0,
 900                                                 aff1->n_row * aff2->n_row);
 901                 for (i = 0; i < aff1->n_row; ++i)
 902                         for (j = 0; j < aff2->n_row; ++j)
 903                                 bmap = construct_constraint(bmap, tok->type,
 904                                                     aff1->row[i], aff2->row[j]);
 905                 isl_token_free(tok);
 906                 isl_mat_free(aff1);
 907                 aff1 = aff2;
 908
 909                 tok = isl_stream_next_token(s);
 910                 if (!is_comparator(tok)) {
 911                         if (tok)
 912                                 isl_stream_push_token(s, tok);
 913                         break;
 914                 }
 915         }
 916         isl_mat_free(aff1);
 917
 918         return bmap;
 919 error:
 920         if (tok)
 921                 isl_token_free(tok);
 922         isl_mat_free(aff1);
 923         isl_mat_free(aff2);
 924         isl_basic_map_free(bmap);
 925         return NULL;
 926 }
 927
 928 static struct isl_basic_map *add_constraints(struct isl_stream *s,
 929         struct vars *v, struct isl_basic_map *bmap)
 930 {
 931         struct isl_token *tok;
 932
 933         for (;;) {
 934                 bmap = add_constraint(s, v, bmap);
 935                 if (!bmap)
 936                         return NULL;
 937                 tok = isl_stream_next_token(s);
 938                 if (!tok) {
 939                         isl_stream_error(s, NULL, "unexpected EOF");
 940                         goto error;
 941                 }
 942                 if (tok->type != ISL_TOKEN_AND)
 943                         break;
 944                 isl_token_free(tok);
 945         }
 946         isl_stream_push_token(s, tok);
 947
 948         return bmap;
 949 error:
 950         if (tok)
 951                 isl_token_free(tok);
 952         isl_basic_map_free(bmap);
 953         return NULL;
 954 }
 955
 956 static struct isl_basic_map *read_disjunct(struct isl_stream *s,
 957         struct vars *v, __isl_take isl_dim *dim)
 958 {
 959         int seen_paren = 0;
 960         struct isl_token *tok;
 961         struct isl_basic_map *bmap;
 962
 963         bmap = isl_basic_map_alloc_dim(dim, 0, 0, 0);
 964         if (!bmap)
 965                 return NULL;
 966
 967         tok = isl_stream_next_token(s);
 968         if (!tok)
 969                 goto error;
 970         if (tok->type == '(') {
 971                 seen_paren = 1;
 972                 isl_token_free(tok);
 973         } else
 974                 isl_stream_push_token(s, tok);
 975
 976         bmap = add_constraints(s, v, bmap);
 977         bmap = isl_basic_map_simplify(bmap);
 978         bmap = isl_basic_map_finalize(bmap);
 979
 980         if (seen_paren && isl_stream_eat(s, ')'))
 981                 goto error;
 982
 983         return bmap;
 984 error:
 985         isl_basic_map_free(bmap);
 986         return NULL;
 987 }
 988
 989 static struct isl_map *read_disjuncts(struct isl_stream *s,
 990         struct vars *v, __isl_take isl_dim *dim)
 991 {
 992         struct isl_token *tok;
 993         struct isl_map *map;
 994
 995         tok = isl_stream_next_token(s);
 996         if (!tok) {
 997                 isl_stream_error(s, NULL, "unexpected EOF");
 998                 goto error;
 999         }
1000         if (tok->type == '}') {
1001                 isl_stream_push_token(s, tok);
1002                 return isl_map_universe(dim);
1003         }
1004         isl_stream_push_token(s, tok);
1005
1006         map = isl_map_empty(isl_dim_copy(dim));
1007         for (;;) {
1008                 struct isl_basic_map *bmap;
1009                 int n = v->n;
1010
1011                 bmap = read_disjunct(s, v, isl_dim_copy(dim));
1012                 map = isl_map_union(map, isl_map_from_basic_map(bmap));
1013
1014                 vars_drop(v, v->n - n);
1015
1016                 tok = isl_stream_next_token(s);
1017                 if (!tok || tok->type != ISL_TOKEN_OR)
1018                         break;
1019                 isl_token_free(tok);
1020         }
1021         if (tok)
1022                 isl_stream_push_token(s, tok);
1023
1024         isl_dim_free(dim);
1025         return map;
1026 error:
1027         isl_dim_free(dim);
1028         return NULL;
1029 }
1030
1031 static int polylib_pos_to_isl_pos(__isl_keep isl_basic_map *bmap, int pos)
1032 {
1033         if (pos < isl_basic_map_dim(bmap, isl_dim_out))
1034                 return 1 + isl_basic_map_dim(bmap, isl_dim_param) +
1035                            isl_basic_map_dim(bmap, isl_dim_in) + pos;
1036         pos -= isl_basic_map_dim(bmap, isl_dim_out);
1037
1038         if (pos < isl_basic_map_dim(bmap, isl_dim_in))
1039                 return 1 + isl_basic_map_dim(bmap, isl_dim_param) + pos;
1040         pos -= isl_basic_map_dim(bmap, isl_dim_in);
1041
1042         if (pos < isl_basic_map_dim(bmap, isl_dim_div))
1043                 return 1 + isl_basic_map_dim(bmap, isl_dim_param) +
1044                            isl_basic_map_dim(bmap, isl_dim_in) +
1045                            isl_basic_map_dim(bmap, isl_dim_out) + pos;
1046         pos -= isl_basic_map_dim(bmap, isl_dim_div);
1047
1048         if (pos < isl_basic_map_dim(bmap, isl_dim_param))
1049                 return 1 + pos;
1050
1051         return 0;
1052 }
1053
1054 static __isl_give isl_basic_map *basic_map_read_polylib_constraint(
1055         struct isl_stream *s, __isl_take isl_basic_map *bmap)
1056 {
1057         int j;
1058         struct isl_token *tok;
1059         int type;
1060         int k;
1061         isl_int *c;
1062         unsigned nparam;
1063         unsigned dim;
1064
1065         if (!bmap)
1066                 return NULL;
1067
1068         nparam = isl_basic_map_dim(bmap, isl_dim_param);
1069         dim = isl_basic_map_dim(bmap, isl_dim_out);
1070
1071         tok = isl_stream_next_token(s);
1072         if (!tok || tok->type != ISL_TOKEN_VALUE) {
1073                 isl_stream_error(s, tok, "expecting coefficient");
1074                 if (tok)
1075                         isl_stream_push_token(s, tok);
1076                 goto error;
1077         }
1078         if (!tok->on_new_line) {
1079                 isl_stream_error(s, tok, "coefficient should appear on new line");
1080                 isl_stream_push_token(s, tok);
1081                 goto error;
1082         }
1083
1084         type = isl_int_get_si(tok->u.v);
1085         isl_token_free(tok);
1086
1087         isl_assert(s->ctx, type == 0 || type == 1, goto error);
1088         if (type == 0) {
1089                 k = isl_basic_map_alloc_equality(bmap);
1090                 c = bmap->eq[k];
1091         } else {
1092                 k = isl_basic_map_alloc_inequality(bmap);
1093                 c = bmap->ineq[k];
1094         }
1095         if (k < 0)
1096                 goto error;
1097
1098         for (j = 0; j < 1 + isl_basic_map_total_dim(bmap); ++j) {
1099                 int pos;
1100                 tok = isl_stream_next_token(s);
1101                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1102                         isl_stream_error(s, tok, "expecting coefficient");
1103                         if (tok)
1104                                 isl_stream_push_token(s, tok);
1105                         goto error;
1106                 }
1107                 if (tok->on_new_line) {
1108                         isl_stream_error(s, tok,
1109                                 "coefficient should not appear on new line");
1110                         isl_stream_push_token(s, tok);
1111                         goto error;
1112                 }
1113                 pos = polylib_pos_to_isl_pos(bmap, j);
1114                 isl_int_set(c[pos], tok->u.v);
1115                 isl_token_free(tok);
1116         }
1117
1118         return bmap;
1119 error:
1120         isl_basic_map_free(bmap);
1121         return NULL;
1122 }
1123
1124 static __isl_give isl_basic_map *basic_map_read_polylib(struct isl_stream *s,
1125         int nparam)
1126 {
1127         int i;
1128         struct isl_token *tok;
1129         struct isl_token *tok2;
1130         int n_row, n_col;
1131         int on_new_line;
1132         unsigned in = 0, out, local = 0;
1133         struct isl_basic_map *bmap = NULL;
1134
1135         if (nparam < 0)
1136                 nparam = 0;
1137
1138         tok = isl_stream_next_token(s);
1139         if (!tok) {
1140                 isl_stream_error(s, NULL, "unexpected EOF");
1141                 return NULL;
1142         }
1143         tok2 = isl_stream_next_token(s);
1144         if (!tok2) {
1145                 isl_token_free(tok);
1146                 isl_stream_error(s, NULL, "unexpected EOF");
1147                 return NULL;
1148         }
1149         n_row = isl_int_get_si(tok->u.v);
1150         n_col = isl_int_get_si(tok2->u.v);
1151         on_new_line = tok2->on_new_line;
1152         isl_token_free(tok2);
1153         isl_token_free(tok);
1154         isl_assert(s->ctx, !on_new_line, return NULL);
1155         isl_assert(s->ctx, n_row >= 0, return NULL);
1156         isl_assert(s->ctx, n_col >= 2 + nparam, return NULL);
1157         tok = isl_stream_next_token_on_same_line(s);
1158         if (tok) {
1159                 if (tok->type != ISL_TOKEN_VALUE) {
1160                         isl_stream_error(s, tok,
1161                                     "expecting number of output dimensions");
1162                         isl_stream_push_token(s, tok);
1163                         goto error;
1164                 }
1165                 out = isl_int_get_si(tok->u.v);
1166                 isl_token_free(tok);
1167
1168                 tok = isl_stream_next_token_on_same_line(s);
1169                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1170                         isl_stream_error(s, tok,
1171                                     "expecting number of input dimensions");
1172                         if (tok)
1173                                 isl_stream_push_token(s, tok);
1174                         goto error;
1175                 }
1176                 in = isl_int_get_si(tok->u.v);
1177                 isl_token_free(tok);
1178
1179                 tok = isl_stream_next_token_on_same_line(s);
1180                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1181                         isl_stream_error(s, tok,
1182                                     "expecting number of existentials");
1183                         if (tok)
1184                                 isl_stream_push_token(s, tok);
1185                         goto error;
1186                 }
1187                 local = isl_int_get_si(tok->u.v);
1188                 isl_token_free(tok);
1189
1190                 tok = isl_stream_next_token_on_same_line(s);
1191                 if (!tok || tok->type != ISL_TOKEN_VALUE) {
1192                         isl_stream_error(s, tok,
1193                                     "expecting number of parameters");
1194                         if (tok)
1195                                 isl_stream_push_token(s, tok);
1196                         goto error;
1197                 }
1198                 nparam = isl_int_get_si(tok->u.v);
1199                 isl_token_free(tok);
1200                 if (n_col != 1 + out + in + local + nparam + 1) {
1201                         isl_stream_error(s, NULL,
1202                                     "dimensions don't match");
1203                         goto error;
1204                 }
1205         } else
1206                 out = n_col - 2 - nparam;
1207         bmap = isl_basic_map_alloc(s->ctx, nparam, in, out, local, n_row, n_row);
1208         if (!bmap)
1209                 return NULL;
1210
1211         for (i = 0; i < local; ++i) {
1212                 int k = isl_basic_map_alloc_div(bmap);
1213                 if (k < 0)
1214                         goto error;
1215                 isl_seq_clr(bmap->div[k], 1 + 1 + nparam + in + out + local);
1216         }
1217
1218         for (i = 0; i < n_row; ++i)
1219                 bmap = basic_map_read_polylib_constraint(s, bmap);
1220
1221         tok = isl_stream_next_token_on_same_line(s);
1222         if (tok) {
1223                 isl_stream_error(s, tok, "unexpected extra token on line");
1224                 isl_stream_push_token(s, tok);
1225                 goto error;
1226         }
1227
1228         bmap = isl_basic_map_simplify(bmap);
1229         bmap = isl_basic_map_finalize(bmap);
1230         return bmap;
1231 error:
1232         isl_basic_map_free(bmap);
1233         return NULL;
1234 }
1235
1236 static struct isl_map *map_read_polylib(struct isl_stream *s, int nparam)
1237 {
1238         struct isl_token *tok;
1239         struct isl_token *tok2;
1240         int i, n;
1241         struct isl_map *map;
1242
1243         tok = isl_stream_next_token(s);
1244         if (!tok) {
1245                 isl_stream_error(s, NULL, "unexpected EOF");
1246                 return NULL;
1247         }
1248         tok2 = isl_stream_next_token_on_same_line(s);
1249         if (tok2) {
1250                 isl_stream_push_token(s, tok2);
1251                 isl_stream_push_token(s, tok);
1252                 return isl_map_from_basic_map(basic_map_read_polylib(s, nparam));
1253         }
1254         n = isl_int_get_si(tok->u.v);
1255         isl_token_free(tok);
1256
1257         isl_assert(s->ctx, n >= 1, return NULL);
1258
1259         map = isl_map_from_basic_map(basic_map_read_polylib(s, nparam));
1260
1261         for (i = 1; i < n; ++i)
1262                 map = isl_map_union(map,
1263                         isl_map_from_basic_map(basic_map_read_polylib(s, nparam)));
1264
1265         return map;
1266 }
1267
1268 static int optional_power(struct isl_stream *s)
1269 {
1270         int pow;
1271         struct isl_token *tok;
1272
1273         tok = isl_stream_next_token(s);
1274         if (!tok)
1275                 return 1;
1276         if (tok->type != '^') {
1277                 isl_stream_push_token(s, tok);
1278                 return 1;
1279         }
1280         isl_token_free(tok);
1281         tok = isl_stream_next_token(s);
1282         if (!tok || tok->type != ISL_TOKEN_VALUE) {
1283                 isl_stream_error(s, tok, "expecting exponent");
1284                 if (tok)
1285                         isl_stream_push_token(s, tok);
1286                 return 1;
1287         }
1288         pow = isl_int_get_si(tok->u.v);
1289         isl_token_free(tok);
1290         return pow;
1291 }
1292
1293 static __isl_give isl_div *read_div(struct isl_stream *s,
1294         __isl_take isl_dim *dim, struct vars *v)
1295 {
1296         int n;
1297         isl_basic_map *bmap;
1298
1299         n = v->n;
1300         bmap = isl_basic_map_universe(dim);
1301
1302         if (vars_add_anon(v) < 0)
1303                 goto error;
1304         if (read_div_definition(s, v) < 0)
1305                 goto error;
1306         bmap = add_divs(bmap, v);
1307         bmap = isl_basic_map_order_divs(bmap);
1308         if (!bmap)
1309                 goto error;
1310         vars_drop(v, v->n - n);
1311
1312         return isl_basic_map_div(bmap, bmap->n_div - 1);
1313 error:
1314         isl_basic_map_free(bmap);
1315         return NULL;
1316 }
1317
1318 static __isl_give isl_qpolynomial *read_term(struct isl_stream *s,
1319         __isl_keep isl_basic_map *bmap, struct vars *v);
1320
1321 static __isl_give isl_qpolynomial *read_factor(struct isl_stream *s,
1322         __isl_keep isl_basic_map *bmap, struct vars *v)
1323 {
1324         struct isl_qpolynomial *qp;
1325         struct isl_token *tok;
1326
1327         tok = isl_stream_next_token(s);
1328         if (!tok) {
1329                 isl_stream_error(s, NULL, "unexpected EOF");
1330                 return NULL;
1331         }
1332         if (tok->type == '(') {
1333                 isl_token_free(tok);
1334                 qp = read_term(s, bmap, v);
1335                 if (!qp)
1336                         return NULL;
1337                 if (isl_stream_eat(s, ')'))
1338                         goto error;
1339         } else if (tok->type == ISL_TOKEN_VALUE) {
1340                 struct isl_token *tok2;
1341                 tok2 = isl_stream_next_token(s);
1342                 if (tok2 && tok2->type == '/') {
1343                         isl_token_free(tok2);
1344                         tok2 = isl_stream_next_token(s);
1345                         if (!tok2 || tok2->type != ISL_TOKEN_VALUE) {
1346                                 isl_stream_error(s, tok2, "expected denominator");
1347                                 isl_token_free(tok);
1348                                 isl_token_free(tok2);
1349                                 return NULL;
1350                         }
1351                         qp = isl_qpolynomial_rat_cst(isl_basic_map_get_dim(bmap),
1352                                                     tok->u.v, tok2->u.v);
1353                         isl_token_free(tok2);
1354                 } else {
1355                         isl_stream_push_token(s, tok2);
1356                         qp = isl_qpolynomial_cst(isl_basic_map_get_dim(bmap),
1357                                                 tok->u.v);
1358                 }
1359                 isl_token_free(tok);
1360         } else if (tok->type == ISL_TOKEN_INFTY) {
1361                 isl_token_free(tok);
1362                 qp = isl_qpolynomial_infty(isl_basic_map_get_dim(bmap));
1363         } else if (tok->type == ISL_TOKEN_NAN) {
1364                 isl_token_free(tok);
1365                 qp = isl_qpolynomial_nan(isl_basic_map_get_dim(bmap));
1366         } else if (tok->type == ISL_TOKEN_IDENT) {
1367                 int n = v->n;
1368                 int pos = vars_pos(v, tok->u.s, -1);
1369                 int pow;
1370                 if (pos < 0) {
1371                         isl_token_free(tok);
1372                         return NULL;
1373                 }
1374                 if (pos >= n) {
1375                         isl_stream_error(s, tok, "unknown identifier");
1376                         isl_token_free(tok);
1377                         return NULL;
1378                 }
1379                 isl_token_free(tok);
1380                 pow = optional_power(s);
1381                 qp = isl_qpolynomial_pow(isl_basic_map_get_dim(bmap), pos, pow);
1382         } else if (tok->type == '[') {
1383                 isl_div *div;
1384                 int pow;
1385
1386                 isl_stream_push_token(s, tok);
1387                 div = read_div(s, isl_basic_map_get_dim(bmap), v);
1388                 pow = optional_power(s);
1389                 qp = isl_qpolynomial_div_pow(div, pow);
1390         } else if (tok->type == '-') {
1391                 struct isl_qpolynomial *qp2;
1392
1393                 isl_token_free(tok);
1394                 qp = isl_qpolynomial_cst(isl_basic_map_get_dim(bmap),
1395                                             s->ctx->negone);
1396                 qp2 = read_factor(s, bmap, v);
1397                 qp = isl_qpolynomial_mul(qp, qp2);
1398         } else {
1399                 isl_stream_error(s, tok, "unexpected isl_token");
1400                 isl_stream_push_token(s, tok);
1401                 return NULL;
1402         }
1403
1404         if (isl_stream_eat_if_available(s, '*') ||
1405             isl_stream_next_token_is(s, ISL_TOKEN_IDENT)) {
1406                 struct isl_qpolynomial *qp2;
1407
1408                 qp2 = read_factor(s, bmap, v);
1409                 qp = isl_qpolynomial_mul(qp, qp2);
1410         }
1411
1412         return qp;
1413 error:
1414         isl_qpolynomial_free(qp);
1415         return NULL;
1416 }
1417
1418 static __isl_give isl_qpolynomial *read_term(struct isl_stream *s,
1419         __isl_keep isl_basic_map *bmap, struct vars *v)
1420 {
1421         struct isl_token *tok;
1422         struct isl_qpolynomial *qp;
1423
1424         qp = read_factor(s, bmap, v);
1425
1426         for (;;) {
1427                 tok = isl_stream_next_token(s);
1428                 if (!tok)
1429                         return qp;
1430
1431                 if (tok->type == '+') {
1432                         struct isl_qpolynomial *qp2;
1433
1434                         isl_token_free(tok);
1435                         qp2 = read_factor(s, bmap, v);
1436                         qp = isl_qpolynomial_add(qp, qp2);
1437                 } else if (tok->type == '-') {
1438                         struct isl_qpolynomial *qp2;
1439
1440                         isl_token_free(tok);
1441                         qp2 = read_factor(s, bmap, v);
1442                         qp = isl_qpolynomial_sub(qp, qp2);
1443                 } else if (tok->type == ISL_TOKEN_VALUE &&
1444                             isl_int_is_neg(tok->u.v)) {
1445                         struct isl_qpolynomial *qp2;
1446
1447                         isl_stream_push_token(s, tok);
1448                         qp2 = read_factor(s, bmap, v);
1449                         qp = isl_qpolynomial_add(qp, qp2);
1450                 } else {
1451                         isl_stream_push_token(s, tok);
1452                         break;
1453                 }
1454         }
1455
1456         return qp;
1457 }
1458
1459 static __isl_give isl_map *read_optional_disjuncts(struct isl_stream *s,
1460         __isl_take isl_basic_map *bmap, struct vars *v)
1461 {
1462         struct isl_token *tok;
1463         struct isl_map *map;
1464
1465         tok = isl_stream_next_token(s);
1466         if (!tok) {
1467                 isl_stream_error(s, NULL, "unexpected EOF");
1468                 goto error;
1469         }
1470         map = isl_map_from_basic_map(isl_basic_map_copy(bmap));
1471         if (tok->type == ':') {
1472                 isl_token_free(tok);
1473                 map = isl_map_intersect(map,
1474                             read_disjuncts(s, v, isl_basic_map_get_dim(bmap)));
1475         } else
1476                 isl_stream_push_token(s, tok);
1477
1478         isl_basic_map_free(bmap);
1479
1480         return map;
1481 error:
1482         isl_basic_map_free(bmap);
1483         return NULL;
1484 }
1485
1486 static struct isl_obj obj_read_poly(struct isl_stream *s,
1487         __isl_take isl_basic_map *bmap, struct vars *v, int n)
1488 {
1489         struct isl_obj obj = { isl_obj_pw_qpolynomial, NULL };
1490         struct isl_pw_qpolynomial *pwqp;
1491         struct isl_qpolynomial *qp;
1492         struct isl_map *map;
1493         struct isl_set *set;
1494
1495         qp = read_term(s, bmap, v);
1496         map = read_optional_disjuncts(s, bmap, v);
1497         set = isl_map_range(map);
1498
1499         pwqp = isl_pw_qpolynomial_alloc(set, qp);
1500
1501         vars_drop(v, v->n - n);
1502
1503         obj.v = pwqp;
1504         return obj;
1505 }
1506
1507 static struct isl_obj obj_read_poly_or_fold(struct isl_stream *s,
1508         __isl_take isl_basic_map *bmap, struct vars *v, int n)
1509 {
1510         struct isl_obj obj = { isl_obj_pw_qpolynomial_fold, NULL };
1511         struct isl_obj obj_p;
1512         isl_qpolynomial *qp;
1513         isl_qpolynomial_fold *fold = NULL;
1514         isl_pw_qpolynomial_fold *pwf;
1515         isl_map *map;
1516         isl_set *set;
1517
1518         if (!isl_stream_eat_if_available(s, ISL_TOKEN_MAX))
1519                 return obj_read_poly(s, bmap, v, n);
1520
1521         if (isl_stream_eat(s, '('))
1522                 goto error;
1523
1524         qp = read_term(s, bmap, v);
1525         fold = isl_qpolynomial_fold_alloc(isl_fold_max, qp);
1526
1527         while (isl_stream_eat_if_available(s, ',')) {
1528                 isl_qpolynomial_fold *fold_i;
1529                 qp = read_term(s, bmap, v);
1530                 fold_i = isl_qpolynomial_fold_alloc(isl_fold_max, qp);
1531                 fold = isl_qpolynomial_fold_fold(fold, fold_i);
1532         }
1533
1534         if (isl_stream_eat(s, ')'))
1535                 goto error;
1536
1537         map = read_optional_disjuncts(s, bmap, v);
1538         set = isl_map_range(map);
1539         pwf = isl_pw_qpolynomial_fold_alloc(isl_fold_max, set, fold);
1540
1541         vars_drop(v, v->n - n);
1542
1543         obj.v = pwf;
1544         return obj;
1545 error:
1546         isl_basic_map_free(bmap);
1547         isl_qpolynomial_fold_free(fold);
1548         obj.type = isl_obj_none;
1549         return obj;
1550 }
1551
1552 static struct isl_obj obj_read_body(struct isl_stream *s,
1553         __isl_take isl_basic_map *bmap, struct vars *v)
1554 {
1555         struct isl_map *map = NULL;
1556         struct isl_token *tok;
1557         struct isl_obj obj = { isl_obj_set, NULL };
1558         int n = v->n;
1559
1560         if (!next_is_tuple(s))
1561                 return obj_read_poly_or_fold(s, bmap, v, n);
1562
1563         bmap = read_tuple(s, bmap, isl_dim_in, v);
1564         if (!bmap)
1565                 goto error;
1566         tok = isl_stream_next_token(s);
1567         if (tok && tok->type == ISL_TOKEN_TO) {
1568                 obj.type = isl_obj_map;
1569                 isl_token_free(tok);
1570                 if (!next_is_tuple(s)) {
1571                         bmap = isl_basic_map_reverse(bmap);
1572                         return obj_read_poly_or_fold(s, bmap, v, n);
1573                 }
1574                 bmap = read_tuple(s, bmap, isl_dim_out, v);
1575                 if (!bmap)
1576                         goto error;
1577         } else {
1578                 bmap = isl_basic_map_reverse(bmap);
1579                 if (tok)
1580                         isl_stream_push_token(s, tok);
1581         }
1582
1583         map = read_optional_disjuncts(s, bmap, v);
1584
1585         vars_drop(v, v->n - n);
1586
1587         obj.v = map;
1588         return obj;
1589 error:
1590         isl_basic_map_free(bmap);
1591         obj.type = isl_obj_none;
1592         return obj;
1593 }
1594
1595 static struct isl_obj to_union(isl_ctx *ctx, struct isl_obj obj)
1596 {
1597         if (obj.type == isl_obj_map) {
1598                 obj.v = isl_union_map_from_map(obj.v);
1599                 obj.type = isl_obj_union_map;
1600         } else if (obj.type == isl_obj_set) {
1601                 obj.v = isl_union_set_from_set(obj.v);
1602                 obj.type = isl_obj_union_set;
1603         } else if (obj.type == isl_obj_pw_qpolynomial) {
1604                 obj.v = isl_union_pw_qpolynomial_from_pw_qpolynomial(obj.v);
1605                 obj.type = isl_obj_union_pw_qpolynomial;
1606         } else if (obj.type == isl_obj_pw_qpolynomial_fold) {
1607                 obj.v = isl_union_pw_qpolynomial_fold_from_pw_qpolynomial_fold(obj.v);
1608                 obj.type = isl_obj_union_pw_qpolynomial_fold;
1609         } else
1610                 isl_assert(ctx, 0, goto error);
1611         return obj;
1612 error:
1613         obj.type->free(obj.v);
1614         obj.type = isl_obj_none;
1615         return obj;
1616 }
1617
1618 static struct isl_obj obj_add(struct isl_ctx *ctx,
1619         struct isl_obj obj1, struct isl_obj obj2)
1620 {
1621         if (obj1.type == isl_obj_set && obj2.type == isl_obj_union_set)
1622                 obj1 = to_union(ctx, obj1);
1623         if (obj1.type == isl_obj_union_set && obj2.type == isl_obj_set)
1624                 obj2 = to_union(ctx, obj2);
1625         if (obj1.type == isl_obj_map && obj2.type == isl_obj_union_map)
1626                 obj1 = to_union(ctx, obj1);
1627         if (obj1.type == isl_obj_union_map && obj2.type == isl_obj_map)
1628                 obj2 = to_union(ctx, obj2);
1629         if (obj1.type == isl_obj_pw_qpolynomial &&
1630             obj2.type == isl_obj_union_pw_qpolynomial)
1631                 obj1 = to_union(ctx, obj1);
1632         if (obj1.type == isl_obj_union_pw_qpolynomial &&
1633             obj2.type == isl_obj_pw_qpolynomial)
1634                 obj2 = to_union(ctx, obj2);
1635         if (obj1.type == isl_obj_pw_qpolynomial_fold &&
1636             obj2.type == isl_obj_union_pw_qpolynomial_fold)
1637                 obj1 = to_union(ctx, obj1);
1638         if (obj1.type == isl_obj_union_pw_qpolynomial_fold &&
1639             obj2.type == isl_obj_pw_qpolynomial_fold)
1640                 obj2 = to_union(ctx, obj2);
1641         isl_assert(ctx, obj1.type == obj2.type, goto error);
1642         if (obj1.type == isl_obj_map && !isl_map_has_equal_dim(obj1.v, obj2.v)) {
1643                 obj1 = to_union(ctx, obj1);
1644                 obj2 = to_union(ctx, obj2);
1645         }
1646         if (obj1.type == isl_obj_set && !isl_set_has_equal_dim(obj1.v, obj2.v)) {
1647                 obj1 = to_union(ctx, obj1);
1648                 obj2 = to_union(ctx, obj2);
1649         }
1650         if (obj1.type == isl_obj_pw_qpolynomial &&
1651             !isl_pw_qpolynomial_has_equal_dim(obj1.v, obj2.v)) {
1652                 obj1 = to_union(ctx, obj1);
1653                 obj2 = to_union(ctx, obj2);
1654         }
1655         if (obj1.type == isl_obj_pw_qpolynomial_fold &&
1656             !isl_pw_qpolynomial_fold_has_equal_dim(obj1.v, obj2.v)) {
1657                 obj1 = to_union(ctx, obj1);
1658                 obj2 = to_union(ctx, obj2);
1659         }
1660         obj1.v = obj1.type->add(obj1.v, obj2.v);
1661         return obj1;
1662 error:
1663         obj1.type->free(obj1.v);
1664         obj2.type->free(obj2.v);
1665         obj1.type = isl_obj_none;
1666         obj1.v = NULL;
1667         return obj1;
1668 }
1669
1670 static struct isl_obj obj_read(struct isl_stream *s, int nparam)
1671 {
1672         isl_basic_map *bmap = NULL;
1673         struct isl_token *tok;
1674         struct vars *v = NULL;
1675         struct isl_obj obj = { isl_obj_set, NULL };
1676
1677         tok = isl_stream_next_token(s);
1678         if (!tok) {
1679                 isl_stream_error(s, NULL, "unexpected EOF");
1680                 goto error;
1681         }
1682         if (tok->type == ISL_TOKEN_VALUE) {
1683                 struct isl_map *map;
1684                 isl_stream_push_token(s, tok);
1685                 map = map_read_polylib(s, nparam);
1686                 if (!map)
1687                         goto error;
1688                 if (isl_map_dim(map, isl_dim_in) > 0)
1689                         obj.type = isl_obj_map;
1690                 obj.v = map;
1691                 return obj;
1692         }
1693         v = vars_new(s->ctx);
1694         if (!v) {
1695                 isl_stream_push_token(s, tok);
1696                 goto error;
1697         }
1698         bmap = isl_basic_map_alloc(s->ctx, 0, 0, 0, 0, 0, 0);
1699         if (tok->type == '[') {
1700                 isl_stream_push_token(s, tok);
1701                 bmap = read_tuple(s, bmap, isl_dim_param, v);
1702                 if (!bmap)
1703                         goto error;
1704                 if (nparam >= 0)
1705                         isl_assert(s->ctx, nparam == v->n, goto error);
1706                 tok = isl_stream_next_token(s);
1707                 if (!tok || tok->type != ISL_TOKEN_TO) {
1708                         isl_stream_error(s, tok, "expecting '->'");
1709                         if (tok)
1710                                 isl_stream_push_token(s, tok);
1711                         goto error;
1712                 }
1713                 isl_token_free(tok);
1714                 tok = isl_stream_next_token(s);
1715         } else if (nparam > 0)
1716                 bmap = isl_basic_map_add(bmap, isl_dim_param, nparam);
1717         if (!tok || tok->type != '{') {
1718                 isl_stream_error(s, tok, "expecting '{'");
1719                 if (tok)
1720                         isl_stream_push_token(s, tok);
1721                 goto error;
1722         }
1723         isl_token_free(tok);
1724
1725         tok = isl_stream_next_token(s);
1726         if (!tok)
1727                 ;
1728         else if (tok->type == ISL_TOKEN_IDENT && !strcmp(tok->u.s, "Sym")) {
1729                 isl_token_free(tok);
1730                 if (isl_stream_eat(s, '='))
1731                         goto error;
1732                 bmap = read_tuple(s, bmap, isl_dim_param, v);
1733                 if (!bmap)
1734                         goto error;
1735                 if (nparam >= 0)
1736                         isl_assert(s->ctx, nparam == v->n, goto error);
1737         } else if (tok->type == '}') {
1738                 obj.type = isl_obj_union_set;
1739                 obj.v = isl_union_set_empty(isl_basic_map_get_dim(bmap));
1740                 isl_token_free(tok);
1741                 goto done;
1742         } else
1743                 isl_stream_push_token(s, tok);
1744
1745         for (;;) {
1746                 struct isl_obj o;
1747                 tok = NULL;
1748                 o = obj_read_body(s, isl_basic_map_copy(bmap), v);
1749                 if (o.type == isl_obj_none || !o.v)
1750                         goto error;
1751                 if (!obj.v)
1752                         obj = o;
1753                 else {
1754                         obj = obj_add(s->ctx, obj, o);
1755                         if (obj.type == isl_obj_none || !obj.v)
1756                                 goto error;
1757                 }
1758                 tok = isl_stream_next_token(s);
1759                 if (!tok || tok->type != ';')
1760                         break;
1761                 isl_token_free(tok);
1762         }
1763
1764         if (tok && tok->type == '}') {
1765                 isl_token_free(tok);
1766         } else {
1767                 isl_stream_error(s, tok, "unexpected isl_token");
1768                 if (tok)
1769                         isl_token_free(tok);
1770                 goto error;
1771         }
1772 done:
1773         vars_free(v);
1774         isl_basic_map_free(bmap);
1775
1776         return obj;
1777 error:
1778         isl_basic_map_free(bmap);
1779         obj.type->free(obj.v);
1780         if (v)
1781                 vars_free(v);
1782         obj.v = NULL;
1783         return obj;
1784 }
1785
1786 struct isl_obj isl_stream_read_obj(struct isl_stream *s)
1787 {
1788         return obj_read(s, -1);
1789 }
1790
1791 __isl_give isl_map *isl_stream_read_map(struct isl_stream *s, int nparam)
1792 {
1793         struct isl_obj obj;
1794         struct isl_map *map;
1795
1796         obj = obj_read(s, nparam);
1797         if (obj.v)
1798                 isl_assert(s->ctx, obj.type == isl_obj_map ||
1799                                    obj.type == isl_obj_set, goto error);
1800
1801         return obj.v;
1802 error:
1803         obj.type->free(obj.v);
1804         return NULL;
1805 }
1806
1807 __isl_give isl_set *isl_stream_read_set(struct isl_stream *s, int nparam)
1808 {
1809         struct isl_obj obj;
1810         struct isl_set *set;
1811
1812         obj = obj_read(s, nparam);
1813         if (obj.v)
1814                 isl_assert(s->ctx, obj.type == isl_obj_set, goto error);
1815
1816         return obj.v;
1817 error:
1818         obj.type->free(obj.v);
1819         return NULL;
1820 }
1821
1822 static struct isl_basic_map *basic_map_read(struct isl_stream *s, int nparam)
1823 {
1824         struct isl_obj obj;
1825         struct isl_map *map;
1826         struct isl_basic_map *bmap;
1827
1828         obj = obj_read(s, nparam);
1829         map = obj.v;
1830         if (!map)
1831                 return NULL;
1832
1833         isl_assert(map->ctx, map->n <= 1, goto error);
1834
1835         if (map->n == 0)
1836                 bmap = isl_basic_map_empty_like_map(map);
1837         else
1838                 bmap = isl_basic_map_copy(map->p[0]);
1839
1840         isl_map_free(map);
1841
1842         return bmap;
1843 error:
1844         isl_map_free(map);
1845         return NULL;
1846 }
1847
1848 __isl_give isl_basic_map *isl_basic_map_read_from_file(isl_ctx *ctx,
1849                 FILE *input, int nparam)
1850 {
1851         struct isl_basic_map *bmap;
1852         struct isl_stream *s = isl_stream_new_file(ctx, input);
1853         if (!s)
1854                 return NULL;
1855         bmap = basic_map_read(s, nparam);
1856         isl_stream_free(s);
1857         return bmap;
1858 }
1859
1860 __isl_give isl_basic_set *isl_basic_set_read_from_file(isl_ctx *ctx,
1861                 FILE *input, int nparam)
1862 {
1863         struct isl_basic_map *bmap;
1864         bmap = isl_basic_map_read_from_file(ctx, input, nparam);
1865         if (!bmap)
1866                 return NULL;
1867         isl_assert(ctx, isl_basic_map_n_in(bmap) == 0, goto error);
1868         return (struct isl_basic_set *)bmap;
1869 error:
1870         isl_basic_map_free(bmap);
1871         return NULL;
1872 }
1873
1874 struct isl_basic_map *isl_basic_map_read_from_str(struct isl_ctx *ctx,
1875                 const char *str, int nparam)
1876 {
1877         struct isl_basic_map *bmap;
1878         struct isl_stream *s = isl_stream_new_str(ctx, str);
1879         if (!s)
1880                 return NULL;
1881         bmap = basic_map_read(s, nparam);
1882         isl_stream_free(s);
1883         return bmap;
1884 }
1885
1886 struct isl_basic_set *isl_basic_set_read_from_str(struct isl_ctx *ctx,
1887                 const char *str, int nparam)
1888 {
1889         struct isl_basic_map *bmap;
1890         bmap = isl_basic_map_read_from_str(ctx, str, nparam);
1891         if (!bmap)
1892                 return NULL;
1893         isl_assert(ctx, isl_basic_map_n_in(bmap) == 0, goto error);
1894         return (struct isl_basic_set *)bmap;
1895 error:
1896         isl_basic_map_free(bmap);
1897         return NULL;
1898 }
1899
1900 __isl_give isl_map *isl_map_read_from_file(struct isl_ctx *ctx,
1901                 FILE *input, int nparam)
1902 {
1903         struct isl_map *map;
1904         struct isl_stream *s = isl_stream_new_file(ctx, input);
1905         if (!s)
1906                 return NULL;
1907         map = isl_stream_read_map(s, nparam);
1908         isl_stream_free(s);
1909         return map;
1910 }
1911
1912 __isl_give isl_map *isl_map_read_from_str(struct isl_ctx *ctx,
1913                 const char *str, int nparam)
1914 {
1915         struct isl_map *map;
1916         struct isl_stream *s = isl_stream_new_str(ctx, str);
1917         if (!s)
1918                 return NULL;
1919         map = isl_stream_read_map(s, nparam);
1920         isl_stream_free(s);
1921         return map;
1922 }
1923
1924 __isl_give isl_set *isl_set_read_from_file(struct isl_ctx *ctx,
1925                 FILE *input, int nparam)
1926 {
1927         struct isl_map *map;
1928         map = isl_map_read_from_file(ctx, input, nparam);
1929         if (!map)
1930                 return NULL;
1931         isl_assert(ctx, isl_map_n_in(map) == 0, goto error);
1932         return (struct isl_set *)map;
1933 error:
1934         isl_map_free(map);
1935         return NULL;
1936 }
1937
1938 struct isl_set *isl_set_read_from_str(struct isl_ctx *ctx,
1939                 const char *str, int nparam)
1940 {
1941         struct isl_map *map;
1942         map = isl_map_read_from_str(ctx, str, nparam);
1943         if (!map)
1944                 return NULL;
1945         isl_assert(ctx, isl_map_n_in(map) == 0, goto error);
1946         return (struct isl_set *)map;
1947 error:
1948         isl_map_free(map);
1949         return NULL;
1950 }
1951
1952 static char *next_line(FILE *input, char *line, unsigned len)
1953 {
1954         char *p;
1955
1956         do {
1957                 if (!(p = fgets(line, len, input)))
1958                         return NULL;
1959                 while (isspace(*p) && *p != '\n')
1960                         ++p;
1961         } while (*p == '#' || *p == '\n');
1962
1963         return p;
1964 }
1965
1966 static struct isl_vec *isl_vec_read_from_file_polylib(struct isl_ctx *ctx,
1967                 FILE *input)
1968 {
1969         struct isl_vec *vec = NULL;
1970         char line[1024];
1971         char val[1024];
1972         char *p;
1973         unsigned size;
1974         int j;
1975         int n;
1976         int offset;
1977
1978         isl_assert(ctx, next_line(input, line, sizeof(line)), return NULL);
1979         isl_assert(ctx, sscanf(line, "%u", &size) == 1, return NULL);
1980
1981         vec = isl_vec_alloc(ctx, size);
1982
1983         p = next_line(input, line, sizeof(line));
1984         isl_assert(ctx, p, goto error);
1985
1986         for (j = 0; j < size; ++j) {
1987                 n = sscanf(p, "%s%n", val, &offset);
1988                 isl_assert(ctx, n != 0, goto error);
1989                 isl_int_read(vec->el[j], val);
1990                 p += offset;
1991         }
1992
1993         return vec;
1994 error:
1995         isl_vec_free(vec);
1996         return NULL;
1997 }
1998
1999 struct isl_vec *isl_vec_read_from_file(struct isl_ctx *ctx,
2000                 FILE *input, unsigned input_format)
2001 {
2002         if (input_format == ISL_FORMAT_POLYLIB)
2003                 return isl_vec_read_from_file_polylib(ctx, input);
2004         else
2005                 isl_assert(ctx, 0, return NULL);
2006 }
2007
2008 __isl_give isl_pw_qpolynomial *isl_stream_read_pw_qpolynomial(
2009         struct isl_stream *s)
2010 {
2011         struct isl_obj obj;
2012         struct isl_pw_qpolynomial *pwqp;
2013
2014         obj = obj_read(s, -1);
2015         if (obj.v)
2016                 isl_assert(s->ctx, obj.type == isl_obj_pw_qpolynomial,
2017                            goto error);
2018
2019         return obj.v;
2020 error:
2021         obj.type->free(obj.v);
2022         return NULL;
2023 }
2024
2025 __isl_give isl_pw_qpolynomial *isl_pw_qpolynomial_read_from_str(isl_ctx *ctx,
2026                 const char *str)
2027 {
2028         isl_pw_qpolynomial *pwqp;
2029         struct isl_stream *s = isl_stream_new_str(ctx, str);
2030         if (!s)
2031                 return NULL;
2032         pwqp = isl_stream_read_pw_qpolynomial(s);
2033         isl_stream_free(s);
2034         return pwqp;
2035 }