isl_output.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 <stdlib.h>
  14 #include <string.h>
  15 #include <isl/set.h>
  16 #include <isl/seq.h>
  17 #include <isl_polynomial_private.h>
  18 #include <isl_printer_private.h>
  19 #include <isl_dim_private.h>
  20 #include <isl_map_private.h>
  21 #include <isl_mat_private.h>
  22 #include <isl/union_map.h>
  23
  24 static const char *s_to[2] = { " -> ", " \\to " };
  25 static const char *s_and[2] = { " and ", " \\wedge " };
  26 static const char *s_or[2] = { " or ", " \\vee " };
  27 static const char *s_le[2] = { "<=", "\\le" };
  28 static const char *s_ge[2] = { ">=", "\\ge" };
  29 static const char *s_open_set[2] = { "{ ", "\\{\\, " };
  30 static const char *s_close_set[2] = { " }", " \\,\\}" };
  31 static const char *s_open_list[2] = { "[", "(" };
  32 static const char *s_close_list[2] = { "]", ")" };
  33 static const char *s_such_that[2] = { " : ", " \\mid " };
  34 static const char *s_open_exists[2] = { "exists (", "\\exists \\, " };
  35 static const char *s_close_exists[2] = { ")", "" };
  36 static const char *s_div_prefix[2] = { "e", "\\alpha_" };
  37 static const char *s_param_prefix[2] = { "p", "p_" };
  38 static const char *s_input_prefix[2] = { "i", "i_" };
  39 static const char *s_output_prefix[2] = { "o", "o_" };
  40
  41 static __isl_give isl_printer *print_constraint_polylib(
  42         struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p)
  43 {
  44         int i;
  45         unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in);
  46         unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out);
  47         unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param);
  48         isl_int *c = ineq ? bmap->ineq[n] : bmap->eq[n];
  49
  50         p = isl_printer_start_line(p);
  51         p = isl_printer_print_int(p, ineq);
  52         for (i = 0; i < n_out; ++i) {
  53                 p = isl_printer_print_str(p, " ");
  54                 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+i]);
  55         }
  56         for (i = 0; i < n_in; ++i) {
  57                 p = isl_printer_print_str(p, " ");
  58                 p = isl_printer_print_isl_int(p, c[1+nparam+i]);
  59         }
  60         for (i = 0; i < bmap->n_div; ++i) {
  61                 p = isl_printer_print_str(p, " ");
  62                 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+n_out+i]);
  63         }
  64         for (i = 0; i < nparam; ++i) {
  65                 p = isl_printer_print_str(p, " ");
  66                 p = isl_printer_print_isl_int(p, c[1+i]);
  67         }
  68         p = isl_printer_print_str(p, " ");
  69         p = isl_printer_print_isl_int(p, c[0]);
  70         p = isl_printer_end_line(p);
  71         return p;
  72 }
  73
  74 static __isl_give isl_printer *print_constraints_polylib(
  75         struct isl_basic_map *bmap, __isl_take isl_printer *p)
  76 {
  77         int i;
  78
  79         p = isl_printer_set_isl_int_width(p, 5);
  80
  81         for (i = 0; i < bmap->n_eq; ++i)
  82                 p = print_constraint_polylib(bmap, 0, i, p);
  83         for (i = 0; i < bmap->n_ineq; ++i)
  84                 p = print_constraint_polylib(bmap, 1, i, p);
  85
  86         return p;
  87 }
  88
  89 static __isl_give isl_printer *bset_print_constraints_polylib(
  90         struct isl_basic_set *bset, __isl_take isl_printer *p)
  91 {
  92         return print_constraints_polylib((struct isl_basic_map *)bset, p);
  93 }
  94
  95 static __isl_give isl_printer *isl_basic_map_print_polylib(
  96         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int ext)
  97 {
  98         unsigned total = isl_basic_map_total_dim(bmap);
  99         p = isl_printer_start_line(p);
 100         p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq);
 101         p = isl_printer_print_str(p, " ");
 102         p = isl_printer_print_int(p, 1 + total + 1);
 103         if (ext) {
 104                 p = isl_printer_print_str(p, " ");
 105                 p = isl_printer_print_int(p,
 106                                     isl_basic_map_dim(bmap, isl_dim_out));
 107                 p = isl_printer_print_str(p, " ");
 108                 p = isl_printer_print_int(p,
 109                                     isl_basic_map_dim(bmap, isl_dim_in));
 110                 p = isl_printer_print_str(p, " ");
 111                 p = isl_printer_print_int(p,
 112                                     isl_basic_map_dim(bmap, isl_dim_div));
 113                 p = isl_printer_print_str(p, " ");
 114                 p = isl_printer_print_int(p,
 115                                     isl_basic_map_dim(bmap, isl_dim_param));
 116         }
 117         p = isl_printer_end_line(p);
 118         return print_constraints_polylib(bmap, p);
 119 }
 120
 121 static __isl_give isl_printer *isl_basic_set_print_polylib(
 122         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int ext)
 123 {
 124         return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p, ext);
 125 }
 126
 127 static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
 128         __isl_take isl_printer *p, int ext)
 129 {
 130         int i;
 131
 132         p = isl_printer_start_line(p);
 133         p = isl_printer_print_int(p, map->n);
 134         p = isl_printer_end_line(p);
 135         for (i = 0; i < map->n; ++i) {
 136                 p = isl_printer_start_line(p);
 137                 p = isl_printer_end_line(p);
 138                 p = isl_basic_map_print_polylib(map->p[i], p, ext);
 139         }
 140         return p;
 141 }
 142
 143 static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
 144         __isl_take isl_printer *p, int ext)
 145 {
 146         return isl_map_print_polylib((struct isl_map *)set, p, ext);
 147 }
 148
 149 static int count_same_name(__isl_keep isl_dim *dim,
 150         enum isl_dim_type type, unsigned pos, const char *name)
 151 {
 152         enum isl_dim_type t;
 153         unsigned p, s;
 154         int count = 0;
 155
 156         for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) {
 157                 s = t == type ? pos : isl_dim_size(dim, t);
 158                 for (p = 0; p < s; ++p) {
 159                         const char *n = isl_dim_get_name(dim, t, p);
 160                         if (n && !strcmp(n, name))
 161                                 count++;
 162                 }
 163         }
 164         return count;
 165 }
 166
 167 static __isl_give isl_printer *print_name(__isl_keep isl_dim *dim,
 168         __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos,
 169         int set, int latex)
 170 {
 171         const char *name;
 172         char buffer[20];
 173         int primes;
 174
 175         name = type == isl_dim_div ? NULL : isl_dim_get_name(dim, type, pos);
 176
 177         if (!name) {
 178                 const char *prefix;
 179                 if (type == isl_dim_param)
 180                         prefix = s_param_prefix[latex];
 181                 else if (type == isl_dim_div)
 182                         prefix = s_div_prefix[latex];
 183                 else if (set || type == isl_dim_in)
 184                         prefix = s_input_prefix[latex];
 185                 else
 186                         prefix = s_output_prefix[latex];
 187                 snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos);
 188                 name = buffer;
 189         }
 190         primes = count_same_name(dim, name == buffer ? isl_dim_div : type,
 191                                  pos, name);
 192         p = isl_printer_print_str(p, name);
 193         while (primes-- > 0)
 194                 p = isl_printer_print_str(p, "'");
 195         return p;
 196 }
 197
 198 static enum isl_dim_type pos2type(__isl_keep isl_dim *dim, unsigned *pos)
 199 {
 200         enum isl_dim_type type;
 201         unsigned n_in = isl_dim_size(dim, isl_dim_in);
 202         unsigned n_out = isl_dim_size(dim, isl_dim_out);
 203         unsigned nparam = isl_dim_size(dim, isl_dim_param);
 204
 205         if (*pos < 1 + nparam) {
 206                 type = isl_dim_param;
 207                 *pos -= 1;
 208         } else if (*pos < 1 + nparam + n_in) {
 209                 type = isl_dim_in;
 210                 *pos -= 1 + nparam;
 211         } else if (*pos < 1 + nparam + n_in + n_out) {
 212                 type = isl_dim_out;
 213                 *pos -= 1 + nparam + n_in;
 214         } else {
 215                 type = isl_dim_div;
 216                 *pos -= 1 + nparam + n_in + n_out;
 217         }
 218
 219         return type;
 220 }
 221
 222 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
 223         __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p);
 224
 225 static __isl_give isl_printer *print_term(__isl_keep isl_dim *dim,
 226         __isl_keep isl_mat *div,
 227         isl_int c, unsigned pos, __isl_take isl_printer *p, int set, int latex)
 228 {
 229         enum isl_dim_type type;
 230         int print_div_def;
 231
 232         if (pos == 0)
 233                 return isl_printer_print_isl_int(p, c);
 234
 235         type = pos2type(dim, &pos);
 236         print_div_def = type == isl_dim_div && div &&
 237                         !isl_int_is_zero(div->row[pos][0]);
 238
 239         if (isl_int_is_one(c))
 240                 ;
 241         else if (isl_int_is_negone(c))
 242                 p = isl_printer_print_str(p, "-");
 243         else {
 244                 p = isl_printer_print_isl_int(p, c);
 245                 if (p->output_format == ISL_FORMAT_C || print_div_def)
 246                         p = isl_printer_print_str(p, "*");
 247         }
 248         if (print_div_def)
 249                 p = print_div(dim, div, pos, p);
 250         else
 251                 p = print_name(dim, p, type, pos, set, latex);
 252         return p;
 253 }
 254
 255 static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_dim *dim,
 256         __isl_keep isl_mat *div,
 257         __isl_take isl_printer *p, isl_int *c, int len, int set)
 258 {
 259         int i;
 260         int first;
 261
 262         for (i = 0, first = 1; i < len; ++i) {
 263                 int flip = 0;
 264                 if (isl_int_is_zero(c[i]))
 265                         continue;
 266                 if (!first) {
 267                         if (isl_int_is_neg(c[i])) {
 268                                 flip = 1;
 269                                 isl_int_neg(c[i], c[i]);
 270                                 p = isl_printer_print_str(p, " - ");
 271                         } else
 272                                 p = isl_printer_print_str(p, " + ");
 273                 }
 274                 first = 0;
 275                 p = print_term(dim, div, c[i], i, p, set, 0);
 276                 if (flip)
 277                         isl_int_neg(c[i], c[i]);
 278         }
 279         if (first)
 280                 p = isl_printer_print_str(p, "0");
 281         return p;
 282 }
 283
 284 static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
 285         __isl_keep isl_dim *dim, __isl_take isl_printer *p, isl_int *c, int set)
 286 {
 287         unsigned len = 1 + isl_basic_map_total_dim(bmap);
 288         return print_affine_of_len(dim, NULL, p, c, len, set);
 289 }
 290
 291 static int defining_equality(__isl_keep isl_basic_map *eq,
 292         __isl_keep isl_dim *dim, enum isl_dim_type type, int pos)
 293 {
 294         int i;
 295         unsigned total;
 296
 297         if (!eq)
 298                 return -1;
 299
 300         pos += isl_dim_offset(dim, type);
 301         total = isl_basic_map_total_dim(eq);
 302
 303         for (i = 0; i < eq->n_eq; ++i) {
 304                 if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
 305                         continue;
 306                 if (isl_int_is_one(eq->eq[i][1 + pos]))
 307                         isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
 308                 return i;
 309         }
 310
 311         return -1;
 312 }
 313
 314 /* offset is the offset of local_dim inside global_type of global_dim.
 315  */
 316 static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p,
 317         __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
 318         __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
 319         int set, int latex, __isl_keep isl_basic_map *eq, int offset)
 320 {
 321         int i, j;
 322
 323         if (global_dim != local_dim && local_type == isl_dim_out)
 324                 offset += local_dim->n_in;
 325
 326         for (i = 0; i < isl_dim_size(local_dim, local_type); ++i) {
 327                 if (i)
 328                         p = isl_printer_print_str(p, ", ");
 329                 j = defining_equality(eq, global_dim, global_type, offset + i);
 330                 if (j >= 0) {
 331                         int pos = 1 + isl_dim_offset(global_dim, global_type)
 332                                     + offset + i;
 333                         p = print_affine_of_len(eq->dim, NULL,
 334                                                 p, eq->eq[j], pos, set);
 335                 } else {
 336                         p = print_name(global_dim, p, global_type, offset + i,
 337                                         set, latex);
 338                 }
 339         }
 340         return p;
 341 }
 342
 343 static __isl_give isl_printer *print_var_list(__isl_keep isl_dim *dim,
 344         __isl_take isl_printer *p, enum isl_dim_type type,
 345         int set, int latex, __isl_keep isl_basic_map *eq)
 346 {
 347         return print_nested_var_list(p, dim, type, dim, type, set, latex, eq, 0);
 348 }
 349
 350 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
 351         __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
 352         __isl_keep isl_dim *local_dim,
 353          int set, int latex, __isl_keep isl_basic_map *eq, int offset);
 354
 355 static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p,
 356         __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
 357         __isl_keep isl_dim *local_dim, enum isl_dim_type local_type,
 358         int set, int latex, __isl_keep isl_basic_map *eq, int offset)
 359 {
 360         const char *name = NULL;
 361         unsigned n = isl_dim_size(local_dim, local_type);
 362         if ((local_type == isl_dim_in || local_type == isl_dim_out)) {
 363                 name = isl_dim_get_tuple_name(local_dim, local_type);
 364                 if (name) {
 365                         if (latex)
 366                                 p = isl_printer_print_str(p, "\\mathrm{");
 367                         p = isl_printer_print_str(p, name);
 368                         if (latex)
 369                                 p = isl_printer_print_str(p, "}");
 370                 }
 371         }
 372         if (!latex || n != 1 || name)
 373                 p = isl_printer_print_str(p, s_open_list[latex]);
 374         if ((local_type == isl_dim_in || local_type == isl_dim_out) &&
 375             local_dim->nested[local_type - isl_dim_in]) {
 376                 if (global_dim != local_dim && local_type == isl_dim_out)
 377                         offset += local_dim->n_in;
 378                 p = print_nested_map_dim(p, global_dim, global_type,
 379                                 local_dim->nested[local_type - isl_dim_in],
 380                                 set, latex, eq, offset);
 381         } else
 382                 p = print_nested_var_list(p, global_dim, global_type,
 383                                  local_dim, local_type, set, latex, eq, offset);
 384         if (!latex || n != 1 || name)
 385                 p = isl_printer_print_str(p, s_close_list[latex]);
 386         return p;
 387 }
 388
 389 static __isl_give isl_printer *print_tuple(__isl_keep isl_dim *dim,
 390         __isl_take isl_printer *p, enum isl_dim_type type,
 391         int set, int latex, __isl_keep isl_basic_map *eq)
 392 {
 393         return print_nested_tuple(p, dim, type, dim, type, set, latex, eq, 0);
 394 }
 395
 396 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
 397         __isl_keep isl_dim *global_dim, enum isl_dim_type global_type,
 398         __isl_keep isl_dim *local_dim,
 399          int set, int latex, __isl_keep isl_basic_map *eq, int offset)
 400 {
 401         p = print_nested_tuple(p, global_dim, global_type,
 402                         local_dim, isl_dim_in, set, latex, eq, offset);
 403         p = isl_printer_print_str(p, s_to[latex]);
 404         p = print_nested_tuple(p, global_dim, global_type,
 405                         local_dim, isl_dim_out, set, latex, eq, offset);
 406
 407         return p;
 408 }
 409
 410 static __isl_give isl_printer *print_dim(__isl_keep isl_dim *dim,
 411         __isl_take isl_printer *p, int set, int latex,
 412         __isl_keep isl_basic_map *eq)
 413 {
 414         if (set)
 415                 p = print_tuple(dim, p, isl_dim_set, 1, latex, eq);
 416         else {
 417                 p = print_tuple(dim, p, isl_dim_in, 0, latex, eq);
 418                 p = isl_printer_print_str(p, s_to[latex]);
 419                 p = print_tuple(dim, p, isl_dim_out, 0, latex, eq);
 420         }
 421
 422         return p;
 423 }
 424
 425 static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_dim *dim,
 426         __isl_take isl_printer *p)
 427 {
 428         if (isl_dim_size(dim, isl_dim_param) == 0)
 429                 return p;
 430
 431         p = isl_printer_start_line(p);
 432         p = isl_printer_print_str(p, "symbolic ");
 433         p = print_var_list(dim, p, isl_dim_param, 0, 0, NULL);
 434         p = isl_printer_print_str(p, ";");
 435         p = isl_printer_end_line(p);
 436         return p;
 437 }
 438
 439 static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
 440         __isl_keep isl_dim *dim, __isl_take isl_printer *p,
 441         isl_int *c, int last, const char *op, int first_constraint, int set,
 442         int latex)
 443 {
 444         if (!first_constraint)
 445                 p = isl_printer_print_str(p, s_and[latex]);
 446
 447         isl_int_abs(c[last], c[last]);
 448
 449         p = print_term(dim, NULL, c[last], last, p, set, latex);
 450
 451         p = isl_printer_print_str(p, " ");
 452         p = isl_printer_print_str(p, op);
 453         p = isl_printer_print_str(p, " ");
 454
 455         isl_int_set_si(c[last], 0);
 456         p = print_affine(bmap, dim, p, c, set);
 457
 458         return p;
 459 }
 460
 461 static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
 462         __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
 463 {
 464         int i;
 465         struct isl_vec *c;
 466         unsigned total = isl_basic_map_total_dim(bmap);
 467
 468         c = isl_vec_alloc(bmap->ctx, 1 + total);
 469         if (!c)
 470                 goto error;
 471
 472         for (i = bmap->n_eq - 1; i >= 0; --i) {
 473                 int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
 474                 isl_assert(bmap->ctx, l >= 0, goto error);
 475                 if (isl_int_is_neg(bmap->eq[i][l]))
 476                         isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
 477                 else
 478                         isl_seq_neg(c->el, bmap->eq[i], 1 + total);
 479                 p = print_constraint(bmap, dim, p, c->el, l,
 480                                     "=", i == bmap->n_eq - 1, set, latex);
 481         }
 482         for (i = 0; i < bmap->n_ineq; ++i) {
 483                 int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
 484                 int s;
 485                 const char *op;
 486                 if (l < 0)
 487                         continue;
 488                 s = isl_int_sgn(bmap->ineq[i][l]);
 489                 if (s < 0)
 490                         isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
 491                 else
 492                         isl_seq_neg(c->el, bmap->ineq[i], 1 + total);
 493                 op = s < 0 ? s_le[latex] : s_ge[latex];
 494                 p = print_constraint(bmap, dim, p, c->el, l,
 495                                         op, !bmap->n_eq && !i, set, latex);
 496         }
 497
 498         isl_vec_free(c);
 499
 500         return p;
 501 error:
 502         isl_vec_free(c);
 503         isl_printer_free(p);
 504         return NULL;
 505 }
 506
 507 static __isl_give isl_printer *print_omega_constraints(
 508         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int set)
 509 {
 510         if (bmap->n_eq + bmap->n_ineq == 0)
 511                 return p;
 512
 513         p = isl_printer_print_str(p, ": ");
 514         if (bmap->n_div > 0) {
 515                 int i;
 516                 p = isl_printer_print_str(p, "exists (");
 517                 for (i = 0; i < bmap->n_div; ++i) {
 518                         if (i)
 519                                 p = isl_printer_print_str(p, ", ");
 520                         p = print_name(bmap->dim, p, isl_dim_div, i, 0, 0);
 521                 }
 522                 p = isl_printer_print_str(p, ": ");
 523         }
 524         p = print_constraints(bmap, bmap->dim, p, set, 0);
 525         if (bmap->n_div > 0)
 526                 p = isl_printer_print_str(p, ")");
 527         return p;
 528 }
 529
 530 static __isl_give isl_printer *basic_map_print_omega(
 531         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
 532 {
 533         p = isl_printer_print_str(p, "{ [");
 534         p = print_var_list(bmap->dim, p, isl_dim_in, 0, 0, NULL);
 535         p = isl_printer_print_str(p, "] -> [");
 536         p = print_var_list(bmap->dim, p, isl_dim_out, 0, 0, NULL);
 537         p = isl_printer_print_str(p, "] ");
 538         p = print_omega_constraints(bmap, p, 0);
 539         p = isl_printer_print_str(p, " }");
 540         return p;
 541 }
 542
 543 static __isl_give isl_printer *isl_basic_map_print_omega(
 544         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
 545 {
 546         p = print_omega_parameters(bmap->dim, p);
 547
 548         p = isl_printer_start_line(p);
 549         p = basic_map_print_omega(bmap, p);
 550         p = isl_printer_end_line(p);
 551         return p;
 552 }
 553
 554 static __isl_give isl_printer *basic_set_print_omega(
 555         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
 556 {
 557         p = isl_printer_print_str(p, "{ [");
 558         p = print_var_list(bset->dim, p, isl_dim_set, 1, 0, NULL);
 559         p = isl_printer_print_str(p, "] ");
 560         p = print_omega_constraints((isl_basic_map *)bset, p, 1);
 561         p = isl_printer_print_str(p, " }");
 562         return p;
 563 }
 564
 565 static __isl_give isl_printer *isl_basic_set_print_omega(
 566         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
 567 {
 568         p = print_omega_parameters(bset->dim, p);
 569
 570         p = isl_printer_start_line(p);
 571         p = basic_set_print_omega(bset, p);
 572         p = isl_printer_end_line(p);
 573         return p;
 574 }
 575
 576 static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map,
 577         __isl_take isl_printer *p)
 578 {
 579         int i;
 580
 581         p = print_omega_parameters(map->dim, p);
 582
 583         p = isl_printer_start_line(p);
 584         for (i = 0; i < map->n; ++i) {
 585                 if (i)
 586                         p = isl_printer_print_str(p, " union ");
 587                 p = basic_map_print_omega(map->p[i], p);
 588         }
 589         p = isl_printer_end_line(p);
 590         return p;
 591 }
 592
 593 static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set,
 594         __isl_take isl_printer *p)
 595 {
 596         int i;
 597
 598         p = print_omega_parameters(set->dim, p);
 599
 600         p = isl_printer_start_line(p);
 601         for (i = 0; i < set->n; ++i) {
 602                 if (i)
 603                         p = isl_printer_print_str(p, " union ");
 604                 p = basic_set_print_omega(set->p[i], p);
 605         }
 606         p = isl_printer_end_line(p);
 607         return p;
 608 }
 609
 610 static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
 611         __isl_keep isl_dim *dim, __isl_take isl_printer *p, int set, int latex)
 612 {
 613         if (bmap->n_div > 0) {
 614                 int i;
 615                 p = isl_printer_print_str(p, s_open_exists[latex]);
 616                 for (i = 0; i < bmap->n_div; ++i) {
 617                         if (i)
 618                                 p = isl_printer_print_str(p, ", ");
 619                         p = print_name(dim, p, isl_dim_div, i, 0, latex);
 620                         if (latex || isl_int_is_zero(bmap->div[i][0]))
 621                                 continue;
 622                         p = isl_printer_print_str(p, " = [(");
 623                         p = print_affine(bmap, dim, p, bmap->div[i] + 1, set);
 624                         p = isl_printer_print_str(p, ")/");
 625                         p = isl_printer_print_isl_int(p, bmap->div[i][0]);
 626                         p = isl_printer_print_str(p, "]");
 627                 }
 628                 p = isl_printer_print_str(p, ": ");
 629         }
 630
 631         p = print_constraints(bmap, dim, p, set, latex);
 632
 633         if (bmap->n_div > 0)
 634                 p = isl_printer_print_str(p, s_close_exists[latex]);
 635         return p;
 636 }
 637
 638 static __isl_give isl_printer *isl_basic_map_print_isl(
 639         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int latex)
 640 {
 641         int i;
 642
 643         p = isl_printer_start_line(p);
 644         if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
 645                 p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
 646                 p = isl_printer_print_str(p, " -> ");
 647         }
 648         p = isl_printer_print_str(p, "{ ");
 649         p = print_dim(bmap->dim, p, 0, latex, NULL);
 650         p = isl_printer_print_str(p, " : ");
 651         p = print_disjunct(bmap, bmap->dim, p, 0, latex);
 652         p = isl_printer_print_str(p, " }");
 653         return p;
 654 }
 655
 656 static __isl_give isl_printer *isl_basic_set_print_isl(
 657         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int latex)
 658 {
 659         int i;
 660
 661         p = isl_printer_start_line(p);
 662         if (isl_basic_set_dim(bset, isl_dim_param) > 0) {
 663                 p = print_tuple(bset->dim, p, isl_dim_param, 0, latex, NULL);
 664                 p = isl_printer_print_str(p, " -> ");
 665         }
 666         p = isl_printer_print_str(p, "{ ");
 667         p = print_dim(bset->dim, p, 1, latex, NULL);
 668         p = isl_printer_print_str(p, " : ");
 669         p = print_disjunct((isl_basic_map *)bset, bset->dim, p, 1, latex);
 670         p = isl_printer_print_str(p, " }");
 671         return p;
 672 }
 673
 674 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
 675         __isl_take isl_printer *p, int set, int latex)
 676 {
 677         int i;
 678
 679         if (isl_map_fast_is_universe(map))
 680                 return p;
 681
 682         p = isl_printer_print_str(p, s_such_that[latex]);
 683         if (map->n == 0)
 684                 p = isl_printer_print_str(p, "1 = 0");
 685         for (i = 0; i < map->n; ++i) {
 686                 if (i)
 687                         p = isl_printer_print_str(p, s_or[latex]);
 688                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 689                         p = isl_printer_print_str(p, "(");
 690                 p = print_disjunct(map->p[i], map->dim, p, set, latex);
 691                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 692                         p = isl_printer_print_str(p, ")");
 693         }
 694         return p;
 695 }
 696
 697 struct isl_aff_split {
 698         isl_basic_map *aff;
 699         isl_map *map;
 700 };
 701
 702 static void free_split(__isl_take struct isl_aff_split *split, int n)
 703 {
 704         int i;
 705
 706         if (!split)
 707                 return;
 708
 709         for (i = 0; i < n; ++i) {
 710                 isl_basic_map_free(split[i].aff);
 711                 isl_map_free(split[i].map);
 712         }
 713
 714         free(split);
 715 }
 716
 717 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
 718 {
 719         int i, j;
 720         unsigned nparam, n_in, n_out, total;
 721
 722         bmap = isl_basic_map_cow(bmap);
 723         if (!bmap)
 724                 return NULL;
 725         if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
 726                 goto error;
 727
 728         nparam = isl_basic_map_dim(bmap, isl_dim_param);
 729         n_in = isl_basic_map_dim(bmap, isl_dim_in);
 730         n_out = isl_basic_map_dim(bmap, isl_dim_out);
 731         total = isl_basic_map_dim(bmap, isl_dim_all);
 732         for (i = bmap->n_eq - 1; i >= 0; --i) {
 733                 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
 734                 if (j >= nparam && j < nparam + n_in + n_out &&
 735                     (isl_int_is_one(bmap->eq[i][1 + j]) ||
 736                      isl_int_is_negone(bmap->eq[i][1 + j])))
 737                         continue;
 738                 if (isl_basic_map_drop_equality(bmap, i) < 0)
 739                         goto error;
 740         }
 741
 742         bmap = isl_basic_map_finalize(bmap);
 743
 744         return bmap;
 745 error:
 746         isl_basic_map_free(bmap);
 747         return NULL;
 748 }
 749
 750 static int aff_split_cmp(const void *p1, const void *p2)
 751 {
 752         const struct isl_aff_split *s1, *s2;
 753         s1 = (const struct isl_aff_split *) p1;
 754         s2 = (const struct isl_aff_split *) p2;
 755
 756         return isl_basic_map_fast_cmp(s1->aff, s2->aff);
 757 }
 758
 759 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
 760         __isl_keep isl_basic_map *aff)
 761 {
 762         int i, j;
 763         unsigned total;
 764
 765         if (!bmap || !aff)
 766                 goto error;
 767
 768         total = isl_dim_total(bmap->dim);
 769
 770         for (i = bmap->n_eq - 1; i >= 0; --i) {
 771                 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
 772                                             bmap->n_div) != -1)
 773                         continue;
 774                 for (j = 0; j < aff->n_eq; ++j) {
 775                         if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
 776                             !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
 777                                 continue;
 778                         if (isl_basic_map_drop_equality(bmap, i) < 0)
 779                                 goto error;
 780                         break;
 781                 }
 782         }
 783
 784         return bmap;
 785 error:
 786         isl_basic_map_free(bmap);
 787         return NULL;
 788 }
 789
 790 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
 791 {
 792         int i, n;
 793         struct isl_aff_split *split;
 794
 795         split = isl_calloc_array(map->isl, struct isl_aff_split, map->n);
 796         if (!split)
 797                 return NULL;
 798
 799         for (i = 0; i < map->n; ++i) {
 800                 isl_basic_map *bmap;
 801                 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
 802                 bmap = isl_basic_map_copy(map->p[i]);
 803                 bmap = isl_basic_map_cow(bmap);
 804                 bmap = drop_aff(bmap, split[i].aff);
 805                 split[i].map = isl_map_from_basic_map(bmap);
 806                 if (!split[i].aff || !split[i].map)
 807                         goto error;
 808         }
 809
 810         qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
 811
 812         n = map->n;
 813         for (i = n - 1; i >= 1; --i) {
 814                 if (!isl_basic_map_fast_is_equal(split[i - 1].aff,
 815                                                  split[i].aff))
 816                         continue;
 817                 isl_basic_map_free(split[i].aff);
 818                 split[i - 1].map = isl_map_union(split[i - 1].map,
 819                                                  split[i].map);
 820                 if (i != n - 1)
 821                         split[i] = split[n - 1];
 822                 split[n - 1].aff = NULL;
 823                 split[n - 1].map = NULL;
 824                 --n;
 825         }
 826
 827         return split;
 828 error:
 829         free_split(split, map->n);
 830         return NULL;
 831 }
 832
 833 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
 834         struct isl_aff_split *split, int n, int set)
 835 {
 836         int i;
 837
 838         for (i = 0; i < n; ++i) {
 839                 isl_dim *dim;
 840
 841                 if (!split[i].map)
 842                         break;
 843                 dim = split[i].map->dim;
 844                 if (i)
 845                         p = isl_printer_print_str(p, "; ");
 846                 p = print_dim(dim, p, set, 0, split[i].aff);
 847                 p = print_disjuncts(split[i].map, p, set, 0);
 848         }
 849
 850         return p;
 851 }
 852
 853 static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
 854         __isl_take isl_printer *p, int set)
 855 {
 856         struct isl_aff_split *split = NULL;
 857
 858         if (map->n > 0)
 859                 split = split_aff(map);
 860         if (split) {
 861                 p = print_split_map(p, split, map->n, set);
 862         } else {
 863                 p = print_dim(map->dim, p, set, 0, NULL);
 864                 p = print_disjuncts(map, p, set, 0);
 865         }
 866         free_split(split, map->n);
 867         return p;
 868 }
 869
 870 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
 871         __isl_take isl_printer *p, int set)
 872 {
 873         if (isl_map_dim(map, isl_dim_param) > 0) {
 874                 p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
 875                 p = isl_printer_print_str(p, s_to[0]);
 876         }
 877         p = isl_printer_print_str(p, s_open_set[0]);
 878         p = isl_map_print_isl_body(map, p, set);
 879         p = isl_printer_print_str(p, s_close_set[0]);
 880         return p;
 881 }
 882
 883 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
 884         __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
 885 {
 886         if (isl_map_dim(map, isl_dim_param) > 0) {
 887                 p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
 888                 p = isl_printer_print_str(p, s_to[1]);
 889         }
 890         p = isl_printer_print_str(p, s_open_set[1]);
 891         p = print_dim(map->dim, p, set, 1, aff);
 892         p = print_disjuncts(map, p, set, 1);
 893         p = isl_printer_print_str(p, s_close_set[1]);
 894
 895         return p;
 896 }
 897
 898 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
 899         __isl_take isl_printer *p, int set)
 900 {
 901         int i;
 902         struct isl_aff_split *split = NULL;
 903
 904         if (map->n > 0)
 905                 split = split_aff(map);
 906
 907         if (!split)
 908                 return print_latex_map(map, p, NULL, set);
 909
 910         for (i = 0; i < map->n; ++i) {
 911                 if (!split[i].map)
 912                         break;
 913                 if (i)
 914                         p = isl_printer_print_str(p, " \\cup ");
 915                 p = print_latex_map(split[i].map, p, split[i].aff, set);
 916         }
 917
 918         free_split(split, map->n);
 919         return p;
 920 }
 921
 922 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
 923         __isl_keep isl_basic_map *bmap)
 924 {
 925         if (!p || !bmap)
 926                 goto error;
 927         if (p->output_format == ISL_FORMAT_ISL)
 928                 return isl_basic_map_print_isl(bmap, p, 0);
 929         else if (p->output_format == ISL_FORMAT_OMEGA)
 930                 return isl_basic_map_print_omega(bmap, p);
 931         isl_assert(bmap->ctx, 0, goto error);
 932 error:
 933         isl_printer_free(p);
 934         return NULL;
 935 }
 936
 937 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
 938         const char *prefix, const char *suffix, unsigned output_format)
 939 {
 940         isl_printer *printer;
 941
 942         if (!bmap)
 943                 return;
 944
 945         printer = isl_printer_to_file(bmap->ctx, out);
 946         printer = isl_printer_set_indent(printer, indent);
 947         printer = isl_printer_set_prefix(printer, prefix);
 948         printer = isl_printer_set_suffix(printer, suffix);
 949         printer = isl_printer_set_output_format(printer, output_format);
 950         isl_printer_print_basic_map(printer, bmap);
 951
 952         isl_printer_free(printer);
 953 }
 954
 955 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
 956         __isl_keep isl_basic_set *bset)
 957 {
 958         if (!p || !bset)
 959                 goto error;
 960
 961         if (p->output_format == ISL_FORMAT_ISL)
 962                 return isl_basic_set_print_isl(bset, p, 0);
 963         else if (p->output_format == ISL_FORMAT_POLYLIB)
 964                 return isl_basic_set_print_polylib(bset, p, 0);
 965         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
 966                 return isl_basic_set_print_polylib(bset, p, 1);
 967         else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
 968                 return bset_print_constraints_polylib(bset, p);
 969         else if (p->output_format == ISL_FORMAT_OMEGA)
 970                 return isl_basic_set_print_omega(bset, p);
 971         isl_assert(p->ctx, 0, goto error);
 972 error:
 973         isl_printer_free(p);
 974         return NULL;
 975 }
 976
 977 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
 978         const char *prefix, const char *suffix, unsigned output_format)
 979 {
 980         isl_printer *printer;
 981
 982         if (!bset)
 983                 return;
 984
 985         printer = isl_printer_to_file(bset->ctx, out);
 986         printer = isl_printer_set_indent(printer, indent);
 987         printer = isl_printer_set_prefix(printer, prefix);
 988         printer = isl_printer_set_suffix(printer, suffix);
 989         printer = isl_printer_set_output_format(printer, output_format);
 990         isl_printer_print_basic_set(printer, bset);
 991
 992         isl_printer_free(printer);
 993 }
 994
 995 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
 996         __isl_keep isl_set *set)
 997 {
 998         if (!p || !set)
 999                 goto error;
1000         if (p->output_format == ISL_FORMAT_ISL)
1001                 return isl_map_print_isl((isl_map *)set, p, 1);
1002         else if (p->output_format == ISL_FORMAT_POLYLIB)
1003                 return isl_set_print_polylib(set, p, 0);
1004         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1005                 return isl_set_print_polylib(set, p, 1);
1006         else if (p->output_format == ISL_FORMAT_OMEGA)
1007                 return isl_set_print_omega(set, p);
1008         else if (p->output_format == ISL_FORMAT_LATEX)
1009                 return isl_map_print_latex((isl_map *)set, p, 1);
1010         isl_assert(set->ctx, 0, goto error);
1011 error:
1012         isl_printer_free(p);
1013         return NULL;
1014 }
1015
1016 void isl_set_print(struct isl_set *set, FILE *out, int indent,
1017         unsigned output_format)
1018 {
1019         isl_printer *printer;
1020
1021         if (!set)
1022                 return;
1023
1024         printer = isl_printer_to_file(set->ctx, out);
1025         printer = isl_printer_set_indent(printer, indent);
1026         printer = isl_printer_set_output_format(printer, output_format);
1027         printer = isl_printer_print_set(printer, set);
1028
1029         isl_printer_free(printer);
1030 }
1031
1032 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
1033         __isl_keep isl_map *map)
1034 {
1035         if (!p || !map)
1036                 goto error;
1037
1038         if (p->output_format == ISL_FORMAT_ISL)
1039                 return isl_map_print_isl(map, p, 0);
1040         else if (p->output_format == ISL_FORMAT_POLYLIB)
1041                 return isl_map_print_polylib(map, p, 0);
1042         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1043                 return isl_map_print_polylib(map, p, 1);
1044         else if (p->output_format == ISL_FORMAT_OMEGA)
1045                 return isl_map_print_omega(map, p);
1046         else if (p->output_format == ISL_FORMAT_LATEX)
1047                 return isl_map_print_latex(map, p, 0);
1048         isl_assert(map->ctx, 0, goto error);
1049 error:
1050         isl_printer_free(p);
1051         return NULL;
1052 }
1053
1054 struct isl_union_print_data {
1055         isl_printer *p;
1056         int set;
1057         int first;
1058 };
1059
1060 static int print_map_body(__isl_take isl_map *map, void *user)
1061 {
1062         struct isl_union_print_data *data;
1063         data = (struct isl_union_print_data *)user;
1064
1065         if (!data->first)
1066                 data->p = isl_printer_print_str(data->p, "; ");
1067         data->first = 0;
1068
1069         data->p = isl_map_print_isl_body(map, data->p, data->set);
1070         isl_map_free(map);
1071
1072         return 0;
1073 }
1074
1075 static __isl_give isl_printer *isl_union_map_print_isl(
1076         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1077 {
1078         struct isl_union_print_data data = { p, set, 1 };
1079         isl_dim *dim;
1080         dim = isl_union_map_get_dim(umap);
1081         if (isl_dim_size(dim, isl_dim_param) > 0) {
1082                 p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
1083                 p = isl_printer_print_str(p, s_to[0]);
1084         }
1085         isl_dim_free(dim);
1086         p = isl_printer_print_str(p, s_open_set[0]);
1087         isl_union_map_foreach_map(umap, &print_map_body, &data);
1088         p = data.p;
1089         p = isl_printer_print_str(p, s_close_set[0]);
1090         return p;
1091 }
1092
1093 static int print_latex_map_body(__isl_take isl_map *map, void *user)
1094 {
1095         struct isl_union_print_data *data;
1096         data = (struct isl_union_print_data *)user;
1097
1098         if (!data->first)
1099                 data->p = isl_printer_print_str(data->p, " \\cup ");
1100         data->first = 0;
1101
1102         data->p = isl_map_print_latex(map, data->p, data->set);
1103         isl_map_free(map);
1104
1105         return 0;
1106 }
1107
1108 static __isl_give isl_printer *isl_union_map_print_latex(
1109         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1110 {
1111         struct isl_union_print_data data = { p, set, 1 };
1112         isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
1113         p = data.p;
1114         return p;
1115 }
1116
1117 __isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
1118         __isl_keep isl_union_map *umap)
1119 {
1120         if (!p || !umap)
1121                 goto error;
1122
1123         if (p->output_format == ISL_FORMAT_ISL)
1124                 return isl_union_map_print_isl(umap, p, 0);
1125         if (p->output_format == ISL_FORMAT_LATEX)
1126                 return isl_union_map_print_latex(umap, p, 0);
1127
1128         isl_die(p->ctx, isl_error_invalid,
1129                 "invalid output format for isl_union_map", goto error);
1130 error:
1131         isl_printer_free(p);
1132         return NULL;
1133 }
1134
1135 __isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
1136         __isl_keep isl_union_set *uset)
1137 {
1138         if (!p || !uset)
1139                 goto error;
1140
1141         if (p->output_format == ISL_FORMAT_ISL)
1142                 return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
1143         if (p->output_format == ISL_FORMAT_LATEX)
1144                 return isl_union_map_print_latex((isl_union_map *)uset, p, 1);
1145
1146         isl_die(p->ctx, isl_error_invalid,
1147                 "invalid output format for isl_union_set", goto error);
1148 error:
1149         isl_printer_free(p);
1150         return NULL;
1151 }
1152
1153 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
1154         unsigned output_format)
1155 {
1156         isl_printer *printer;
1157
1158         if (!map)
1159                 return;
1160
1161         printer = isl_printer_to_file(map->ctx, out);
1162         printer = isl_printer_set_indent(printer, indent);
1163         printer = isl_printer_set_output_format(printer, output_format);
1164         printer = isl_printer_print_map(printer, map);
1165
1166         isl_printer_free(printer);
1167 }
1168
1169 void isl_basic_map_dump(__isl_keep isl_basic_map *bmap)
1170 {
1171         isl_printer *printer;
1172
1173         if (!bmap)
1174                 return;
1175
1176         printer = isl_printer_to_file(isl_basic_map_get_ctx(bmap), stderr);
1177         printer = isl_printer_print_basic_map(printer, bmap);
1178         printer = isl_printer_end_line(printer);
1179
1180         isl_printer_free(printer);
1181 }
1182
1183 void isl_basic_set_dump(__isl_keep isl_basic_set *bset)
1184 {
1185         isl_printer *printer;
1186
1187         if (!bset)
1188                 return;
1189
1190         printer = isl_printer_to_file(isl_basic_set_get_ctx(bset), stderr);
1191         printer = isl_printer_print_basic_set(printer, bset);
1192         printer = isl_printer_end_line(printer);
1193
1194         isl_printer_free(printer);
1195 }
1196
1197 void isl_map_dump(__isl_keep isl_map *map)
1198 {
1199         isl_printer *printer;
1200
1201         if (!map)
1202                 return;
1203
1204         printer = isl_printer_to_file(isl_map_get_ctx(map), stderr);
1205         printer = isl_printer_print_map(printer, map);
1206         printer = isl_printer_end_line(printer);
1207
1208         isl_printer_free(printer);
1209 }
1210
1211 void isl_set_dump(__isl_keep isl_set *set)
1212 {
1213         isl_printer *printer;
1214
1215         if (!set)
1216                 return;
1217
1218         printer = isl_printer_to_file(isl_set_get_ctx(set), stderr);
1219         printer = isl_printer_print_set(printer, set);
1220         printer = isl_printer_end_line(printer);
1221
1222         isl_printer_free(printer);
1223 }
1224
1225 void isl_union_map_dump(__isl_keep isl_union_map *umap)
1226 {
1227         isl_printer *printer;
1228
1229         if (!umap)
1230                 return;
1231
1232         printer = isl_printer_to_file(isl_union_map_get_ctx(umap), stderr);
1233         printer = isl_printer_print_union_map(printer, umap);
1234         printer = isl_printer_end_line(printer);
1235
1236         isl_printer_free(printer);
1237 }
1238
1239 void isl_union_set_dump(__isl_keep isl_union_set *uset)
1240 {
1241         isl_printer *printer;
1242
1243         if (!uset)
1244                 return;
1245
1246         printer = isl_printer_to_file(isl_union_set_get_ctx(uset), stderr);
1247         printer = isl_printer_print_union_set(printer, uset);
1248         printer = isl_printer_end_line(printer);
1249
1250         isl_printer_free(printer);
1251 }
1252
1253 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial *upwqp)
1254 {
1255         isl_printer *printer;
1256
1257         if (!upwqp)
1258                 return;
1259
1260         printer = isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp),
1261                                         stderr);
1262         printer = isl_printer_print_union_pw_qpolynomial(printer, upwqp);
1263         printer = isl_printer_end_line(printer);
1264
1265         isl_printer_free(printer);
1266 }
1267
1268 void isl_union_pw_qpolynomial_fold_dump(
1269         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1270 {
1271         isl_printer *printer;
1272
1273         if (!upwf)
1274                 return;
1275
1276         printer = isl_printer_to_file(
1277                         isl_union_pw_qpolynomial_fold_get_ctx(upwf), stderr);
1278         printer = isl_printer_print_union_pw_qpolynomial_fold(printer, upwf);
1279         printer = isl_printer_end_line(printer);
1280
1281         isl_printer_free(printer);
1282 }
1283
1284 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
1285 {
1286         int i;
1287         int n;
1288
1289         for (i = 0, n = 0; i < rec->n; ++i)
1290                 if (!isl_upoly_is_zero(rec->p[i]))
1291                         ++n;
1292
1293         return n;
1294 }
1295
1296 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
1297         __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
1298 {
1299         int c = p->output_format == ISL_FORMAT_C;
1300         p = isl_printer_print_str(p, c ? "floord(" : "[(");
1301         p = print_affine_of_len(dim, div, p,
1302                                 div->row[pos] + 1, div->n_col - 1, 1);
1303         p = isl_printer_print_str(p, c ? ", " : ")/");
1304         p = isl_printer_print_isl_int(p, div->row[pos][0]);
1305         p = isl_printer_print_str(p, c ? ")" : "]");
1306         return p;
1307 }
1308
1309 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
1310         __isl_take isl_printer *p, int first)
1311 {
1312         struct isl_upoly_cst *cst;
1313         int neg;
1314
1315         cst = isl_upoly_as_cst(up);
1316         if (!cst)
1317                 goto error;
1318         neg = !first && isl_int_is_neg(cst->n);
1319         if (!first)
1320                 p = isl_printer_print_str(p, neg ? " - " :  " + ");
1321         if (neg)
1322                 isl_int_neg(cst->n, cst->n);
1323         if (isl_int_is_zero(cst->d)) {
1324                 int sgn = isl_int_sgn(cst->n);
1325                 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1326                                             sgn == 0 ? "NaN" : "infty");
1327         } else
1328                 p = isl_printer_print_isl_int(p, cst->n);
1329         if (neg)
1330                 isl_int_neg(cst->n, cst->n);
1331         if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1332                 p = isl_printer_print_str(p, "/");
1333                 p = isl_printer_print_isl_int(p, cst->d);
1334         }
1335         return p;
1336 error:
1337         isl_printer_free(p);
1338         return NULL;
1339 }
1340
1341 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1342         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
1343 {
1344         unsigned total;
1345
1346         total = isl_dim_total(dim);
1347         if (var < total)
1348                 p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 1, 0);
1349         else
1350                 p = print_div(dim, div, var - total, p);
1351         return p;
1352 }
1353
1354 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1355         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
1356 {
1357         p = print_base(p, dim, div, var);
1358         if (exp == 1)
1359                 return p;
1360         if (p->output_format == ISL_FORMAT_C) {
1361                 int i;
1362                 for (i = 1; i < exp; ++i) {
1363                         p = isl_printer_print_str(p, "*");
1364                         p = print_base(p, dim, div, var);
1365                 }
1366         } else {
1367                 p = isl_printer_print_str(p, "^");
1368                 p = isl_printer_print_int(p, exp);
1369         }
1370         return p;
1371 }
1372
1373 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1374         __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
1375         __isl_take isl_printer *p, int outer)
1376 {
1377         int i, n, first, print_parens;
1378         struct isl_upoly_rec *rec;
1379
1380         if (!p || !up || !dim || !div)
1381                 goto error;
1382
1383         if (isl_upoly_is_cst(up))
1384                 return upoly_print_cst(up, p, 1);
1385
1386         rec = isl_upoly_as_rec(up);
1387         if (!rec)
1388                 goto error;
1389         n = upoly_rec_n_non_zero(rec);
1390         print_parens = n > 1 || (outer && rec->up.var >= isl_dim_total(dim));
1391         if (print_parens)
1392                 p = isl_printer_print_str(p, "(");
1393         for (i = 0, first = 1; i < rec->n; ++i) {
1394                 if (isl_upoly_is_zero(rec->p[i]))
1395                         continue;
1396                 if (isl_upoly_is_negone(rec->p[i])) {
1397                         if (!i)
1398                                 p = isl_printer_print_str(p, "-1");
1399                         else if (first)
1400                                 p = isl_printer_print_str(p, "-");
1401                         else
1402                                 p = isl_printer_print_str(p, " - ");
1403                 } else if (isl_upoly_is_cst(rec->p[i]) &&
1404                                 !isl_upoly_is_one(rec->p[i]))
1405                         p = upoly_print_cst(rec->p[i], p, first);
1406                 else {
1407                         if (!first)
1408                                 p = isl_printer_print_str(p, " + ");
1409                         if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1410                                 p = upoly_print(rec->p[i], dim, div, p, 0);
1411                 }
1412                 first = 0;
1413                 if (i == 0)
1414                         continue;
1415                 if (!isl_upoly_is_one(rec->p[i]) &&
1416                     !isl_upoly_is_negone(rec->p[i]))
1417                         p = isl_printer_print_str(p, " * ");
1418                 p = print_pow(p, dim, div, rec->up.var, i);
1419         }
1420         if (print_parens)
1421                 p = isl_printer_print_str(p, ")");
1422         return p;
1423 error:
1424         isl_printer_free(p);
1425         return NULL;
1426 }
1427
1428 __isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
1429         __isl_keep isl_qpolynomial *qp)
1430 {
1431         if (!p || !qp)
1432                 goto error;
1433         p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
1434         return p;
1435 error:
1436         isl_printer_free(p);
1437         return NULL;
1438 }
1439
1440 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1441         unsigned output_format)
1442 {
1443         isl_printer *p;
1444
1445         if  (!qp)
1446                 return;
1447
1448         isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1449         p = isl_printer_to_file(qp->dim->ctx, out);
1450         p = isl_printer_print_qpolynomial(p, qp);
1451         isl_printer_free(p);
1452 }
1453
1454 static __isl_give isl_printer *qpolynomial_fold_print(
1455         __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1456 {
1457         int i;
1458
1459         if (fold->type == isl_fold_min)
1460                 p = isl_printer_print_str(p, "min");
1461         else if (fold->type == isl_fold_max)
1462                 p = isl_printer_print_str(p, "max");
1463         p = isl_printer_print_str(p, "(");
1464         for (i = 0; i < fold->n; ++i) {
1465                 if (i)
1466                         p = isl_printer_print_str(p, ", ");
1467                 p = isl_printer_print_qpolynomial(p, fold->qp[i]);
1468         }
1469         p = isl_printer_print_str(p, ")");
1470         return p;
1471 }
1472
1473 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1474         __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1475 {
1476         if  (!p || !fold)
1477                 goto error;
1478         p = qpolynomial_fold_print(fold, p);
1479         return p;
1480 error:
1481         isl_printer_free(p);
1482         return NULL;
1483 }
1484
1485 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1486         FILE *out, unsigned output_format)
1487 {
1488         isl_printer *p;
1489
1490         if (!fold)
1491                 return;
1492
1493         isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1494
1495         p = isl_printer_to_file(fold->dim->ctx, out);
1496         p = isl_printer_print_qpolynomial_fold(p, fold);
1497
1498         isl_printer_free(p);
1499 }
1500
1501 static __isl_give isl_printer *isl_pwqp_print_isl_body(
1502         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1503 {
1504         int i = 0;
1505
1506         for (i = 0; i < pwqp->n; ++i) {
1507                 if (i)
1508                         p = isl_printer_print_str(p, "; ");
1509                 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1510                     isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1511                         p = print_dim(pwqp->p[i].set->dim, p, 1, 0, NULL);
1512                         p = isl_printer_print_str(p, " -> ");
1513                 }
1514                 p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
1515                 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
1516         }
1517
1518         return p;
1519 }
1520
1521 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1522         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1523 {
1524         if (!p || !pwqp)
1525                 goto error;
1526
1527         if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
1528                 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
1529                 p = isl_printer_print_str(p, " -> ");
1530         }
1531         p = isl_printer_print_str(p, "{ ");
1532         if (pwqp->n == 0) {
1533                 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1534                     isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1535                         p = print_dim(pwqp->dim, p, 1, 0, NULL);
1536                         p = isl_printer_print_str(p, " -> ");
1537                 }
1538                 p = isl_printer_print_str(p, "0");
1539         }
1540         p = isl_pwqp_print_isl_body(p, pwqp);
1541         p = isl_printer_print_str(p, " }");
1542         return p;
1543 error:
1544         isl_printer_free(p);
1545         return NULL;
1546 }
1547
1548 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1549         unsigned output_format)
1550 {
1551         isl_printer *p;
1552
1553         if (!pwqp)
1554                 return;
1555
1556         p = isl_printer_to_file(pwqp->dim->ctx, out);
1557         p = isl_printer_set_output_format(p, output_format);
1558         p = isl_printer_print_pw_qpolynomial(p, pwqp);
1559
1560         isl_printer_free(p);
1561 }
1562
1563 static __isl_give isl_printer *isl_pwf_print_isl_body(
1564         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1565 {
1566         int i = 0;
1567
1568         for (i = 0; i < pwf->n; ++i) {
1569                 if (i)
1570                         p = isl_printer_print_str(p, "; ");
1571                 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1572                     isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1573                         p = print_dim(pwf->p[i].set->dim, p, 1, 0, NULL);
1574                         p = isl_printer_print_str(p, " -> ");
1575                 }
1576                 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1577                 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
1578         }
1579
1580         return p;
1581 }
1582
1583 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1584         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1585 {
1586         if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
1587                 p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
1588                 p = isl_printer_print_str(p, " -> ");
1589         }
1590         p = isl_printer_print_str(p, "{ ");
1591         if (pwf->n == 0) {
1592                 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1593                     isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1594                         p = print_dim(pwf->dim, p, 1, 0, NULL);
1595                         p = isl_printer_print_str(p, " -> ");
1596                 }
1597                 p = isl_printer_print_str(p, "0");
1598         }
1599         p = isl_pwf_print_isl_body(p, pwf);
1600         p = isl_printer_print_str(p, " }");
1601         return p;
1602 }
1603
1604 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1605         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c);
1606
1607 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1608         __isl_keep isl_dim *dim,
1609         __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1610 {
1611         if (type == isl_dim_div) {
1612                 p = isl_printer_print_str(p, "floord(");
1613                 p = print_affine_c(p, dim, bset, bset->div[pos] + 1);
1614                 p = isl_printer_print_str(p, ", ");
1615                 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1616                 p = isl_printer_print_str(p, ")");
1617         } else {
1618                 const char *name;
1619
1620                 name = isl_dim_get_name(dim, type, pos);
1621                 if (!name)
1622                         name = "UNNAMED";
1623                 p = isl_printer_print_str(p, name);
1624         }
1625         return p;
1626 }
1627
1628 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1629         __isl_keep isl_dim *dim,
1630         __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1631 {
1632         enum isl_dim_type type;
1633         unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);
1634
1635         if (pos == 0)
1636                 return isl_printer_print_isl_int(p, c);
1637
1638         if (isl_int_is_one(c))
1639                 ;
1640         else if (isl_int_is_negone(c))
1641                 p = isl_printer_print_str(p, "-");
1642         else {
1643                 p = isl_printer_print_isl_int(p, c);
1644                 p = isl_printer_print_str(p, "*");
1645         }
1646         type = pos2type(dim, &pos);
1647         p = print_name_c(p, dim, bset, type, pos);
1648         return p;
1649 }
1650
1651 static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
1652         __isl_keep isl_dim *dim,
1653         __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
1654 {
1655         int i;
1656         int first;
1657
1658         for (i = 0, first = 1; i < len; ++i) {
1659                 int flip = 0;
1660                 if (isl_int_is_zero(c[i]))
1661                         continue;
1662                 if (!first) {
1663                         if (isl_int_is_neg(c[i])) {
1664                                 flip = 1;
1665                                 isl_int_neg(c[i], c[i]);
1666                                 p = isl_printer_print_str(p, " - ");
1667                         } else
1668                                 p = isl_printer_print_str(p, " + ");
1669                 }
1670                 first = 0;
1671                 p = print_term_c(p, dim, bset, c[i], i);
1672                 if (flip)
1673                         isl_int_neg(c[i], c[i]);
1674         }
1675         if (first)
1676                 p = isl_printer_print_str(p, "0");
1677         return p;
1678 }
1679
1680 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1681         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c)
1682 {
1683         unsigned len = 1 + isl_basic_set_total_dim(bset);
1684         return print_partial_affine_c(p, dim, bset, c, len);
1685 }
1686
1687 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1688         __isl_keep isl_dim *dim,
1689         __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1690 {
1691         if (!first)
1692                 p = isl_printer_print_str(p, " && ");
1693
1694         p = print_affine_c(p, dim, bset, c);
1695         p = isl_printer_print_str(p, " ");
1696         p = isl_printer_print_str(p, op);
1697         p = isl_printer_print_str(p, " 0");
1698         return p;
1699 }
1700
1701 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1702         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset)
1703 {
1704         int i, j;
1705         unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
1706         unsigned total = isl_basic_set_total_dim(bset) - n_div;
1707
1708         for (i = 0; i < bset->n_eq; ++i) {
1709                 j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
1710                 if (j < 0)
1711                         p = print_constraint_c(p, dim, bset,
1712                                                 bset->eq[i], "==", !i);
1713                 else {
1714                         if (i)
1715                                 p = isl_printer_print_str(p, " && ");
1716                         p = isl_printer_print_str(p, "(");
1717                         p = print_partial_affine_c(p, dim, bset, bset->eq[i],
1718                                                    1 + total + j);
1719                         p = isl_printer_print_str(p, ") % ");
1720                         p = isl_printer_print_isl_int(p,
1721                                                 bset->eq[i][1 + total + j]);
1722                         p = isl_printer_print_str(p, " == 0");
1723                 }
1724         }
1725         for (i = 0; i < bset->n_ineq; ++i)
1726                 p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=",
1727                                         !bset->n_eq && !i);
1728         return p;
1729 }
1730
1731 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1732         __isl_keep isl_dim *dim, __isl_keep isl_set *set)
1733 {
1734         int i;
1735
1736         if (set->n == 0)
1737                 p = isl_printer_print_str(p, "0");
1738
1739         for (i = 0; i < set->n; ++i) {
1740                 if (i)
1741                         p = isl_printer_print_str(p, " || ");
1742                 if (set->n > 1)
1743                         p = isl_printer_print_str(p, "(");
1744                 p = print_basic_set_c(p, dim, set->p[i]);
1745                 if (set->n > 1)
1746                         p = isl_printer_print_str(p, ")");
1747         }
1748         return p;
1749 }
1750
1751 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1752         __isl_keep isl_dim *dim, __isl_keep isl_qpolynomial *qp)
1753 {
1754         isl_int den;
1755
1756         isl_int_init(den);
1757         isl_qpolynomial_get_den(qp, &den);
1758         if (!isl_int_is_one(den)) {
1759                 isl_qpolynomial *f;
1760                 p = isl_printer_print_str(p, "(");
1761                 qp = isl_qpolynomial_copy(qp);
1762                 f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
1763                                                 den, qp->dim->ctx->one);
1764                 qp = isl_qpolynomial_mul(qp, f);
1765         }
1766         if (qp)
1767                 p = upoly_print(qp->upoly, dim, qp->div, p, 0);
1768         if (!isl_int_is_one(den)) {
1769                 p = isl_printer_print_str(p, ")/");
1770                 p = isl_printer_print_isl_int(p, den);
1771                 isl_qpolynomial_free(qp);
1772         }
1773         isl_int_clear(den);
1774         return p;
1775 }
1776
1777 static __isl_give isl_printer *print_pw_qpolynomial_c(
1778         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1779 {
1780         int i;
1781
1782         if (pwqp->n == 1 && isl_set_fast_is_universe(pwqp->p[0].set))
1783                 return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp);
1784
1785         for (i = 0; i < pwqp->n; ++i) {
1786                 p = isl_printer_print_str(p, "(");
1787                 p = print_set_c(p, pwqp->dim, pwqp->p[i].set);
1788                 p = isl_printer_print_str(p, ") ? (");
1789                 p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp);
1790                 p = isl_printer_print_str(p, ") : ");
1791         }
1792
1793         p = isl_printer_print_str(p, "0");
1794         return p;
1795 }
1796
1797 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1798         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1799 {
1800         if (!p || !pwqp)
1801                 goto error;
1802
1803         if (p->output_format == ISL_FORMAT_ISL)
1804                 return print_pw_qpolynomial_isl(p, pwqp);
1805         else if (p->output_format == ISL_FORMAT_C)
1806                 return print_pw_qpolynomial_c(p, pwqp);
1807         isl_assert(p->ctx, 0, goto error);
1808 error:
1809         isl_printer_free(p);
1810         return NULL;
1811 }
1812
1813 static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1814 {
1815         struct isl_union_print_data *data;
1816         data = (struct isl_union_print_data *)user;
1817
1818         if (!data->first)
1819                 data->p = isl_printer_print_str(data->p, "; ");
1820         data->first = 0;
1821
1822         data->p = isl_pwqp_print_isl_body(data->p, pwqp);
1823         isl_pw_qpolynomial_free(pwqp);
1824
1825         return 0;
1826 }
1827
1828 static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
1829         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1830 {
1831         struct isl_union_print_data data = { p, 1, 1 };
1832         isl_dim *dim;
1833         dim = isl_union_pw_qpolynomial_get_dim(upwqp);
1834         if (isl_dim_size(dim, isl_dim_param) > 0) {
1835                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1836                 p = isl_printer_print_str(p, " -> ");
1837         }
1838         isl_dim_free(dim);
1839         p = isl_printer_print_str(p, "{ ");
1840         isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
1841                                                         &data);
1842         p = data.p;
1843         p = isl_printer_print_str(p, " }");
1844         return p;
1845 }
1846
1847 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
1848         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1849 {
1850         if (!p || !upwqp)
1851                 goto error;
1852
1853         if (p->output_format == ISL_FORMAT_ISL)
1854                 return print_union_pw_qpolynomial_isl(p, upwqp);
1855         isl_die(p->ctx, isl_error_invalid,
1856                 "invalid output format for isl_union_pw_qpolynomial",
1857                 goto error);
1858 error:
1859         isl_printer_free(p);
1860         return NULL;
1861 }
1862
1863 static __isl_give isl_printer *print_qpolynomial_fold_c(
1864         __isl_take isl_printer *p, __isl_keep isl_dim *dim,
1865         __isl_keep isl_qpolynomial_fold *fold)
1866 {
1867         int i;
1868
1869         for (i = 0; i < fold->n - 1; ++i)
1870                 if (fold->type == isl_fold_min)
1871                         p = isl_printer_print_str(p, "min(");
1872                 else if (fold->type == isl_fold_max)
1873                         p = isl_printer_print_str(p, "max(");
1874
1875         for (i = 0; i < fold->n; ++i) {
1876                 if (i)
1877                         p = isl_printer_print_str(p, ", ");
1878                 p = print_qpolynomial_c(p, dim, fold->qp[i]);
1879                 if (i)
1880                         p = isl_printer_print_str(p, ")");
1881         }
1882         return p;
1883 }
1884
1885 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1886         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1887 {
1888         int i;
1889
1890         if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
1891                 return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold);
1892
1893         for (i = 0; i < pwf->n; ++i) {
1894                 p = isl_printer_print_str(p, "(");
1895                 p = print_set_c(p, pwf->dim, pwf->p[i].set);
1896                 p = isl_printer_print_str(p, ") ? (");
1897                 p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold);
1898                 p = isl_printer_print_str(p, ") : ");
1899         }
1900
1901         p = isl_printer_print_str(p, "0");
1902         return p;
1903 }
1904
1905 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1906         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1907 {
1908         if (!p || !pwf)
1909                 goto error;
1910
1911         if (p->output_format == ISL_FORMAT_ISL)
1912                 return print_pw_qpolynomial_fold_isl(p, pwf);
1913         else if (p->output_format == ISL_FORMAT_C)
1914                 return print_pw_qpolynomial_fold_c(p, pwf);
1915         isl_assert(p->ctx, 0, goto error);
1916 error:
1917         isl_printer_free(p);
1918         return NULL;
1919 }
1920
1921 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1922         FILE *out, unsigned output_format)
1923 {
1924         isl_printer *p;
1925
1926         if (!pwf)
1927                 return;
1928
1929         p = isl_printer_to_file(pwf->dim->ctx, out);
1930         p = isl_printer_set_output_format(p, output_format);
1931         p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1932
1933         isl_printer_free(p);
1934 }
1935
1936 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1937 {
1938         struct isl_union_print_data *data;
1939         data = (struct isl_union_print_data *)user;
1940
1941         if (!data->first)
1942                 data->p = isl_printer_print_str(data->p, "; ");
1943         data->first = 0;
1944
1945         data->p = isl_pwf_print_isl_body(data->p, pwf);
1946         isl_pw_qpolynomial_fold_free(pwf);
1947
1948         return 0;
1949 }
1950
1951 static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
1952         __isl_take isl_printer *p,
1953         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1954 {
1955         struct isl_union_print_data data = { p, 1, 1 };
1956         isl_dim *dim;
1957         dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
1958         if (isl_dim_size(dim, isl_dim_param) > 0) {
1959                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1960                 p = isl_printer_print_str(p, " -> ");
1961         }
1962         isl_dim_free(dim);
1963         p = isl_printer_print_str(p, "{ ");
1964         isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
1965                                                         &print_pwf_body, &data);
1966         p = data.p;
1967         p = isl_printer_print_str(p, " }");
1968         return p;
1969 }
1970
1971 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
1972         __isl_take isl_printer *p,
1973         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1974 {
1975         if (!p || !upwf)
1976                 goto error;
1977
1978         if (p->output_format == ISL_FORMAT_ISL)
1979                 return print_union_pw_qpolynomial_fold_isl(p, upwf);
1980         isl_die(p->ctx, isl_error_invalid,
1981                 "invalid output format for isl_union_pw_qpolynomial_fold",
1982                 goto error);
1983 error:
1984         isl_printer_free(p);
1985         return NULL;
1986 }