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