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         p = isl_printer_end_line(p);
 654         return p;
 655 }
 656
 657 static __isl_give isl_printer *isl_basic_set_print_isl(
 658         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int latex)
 659 {
 660         int i;
 661
 662         p = isl_printer_start_line(p);
 663         if (isl_basic_set_dim(bset, isl_dim_param) > 0) {
 664                 p = print_tuple(bset->dim, p, isl_dim_param, 0, latex, NULL);
 665                 p = isl_printer_print_str(p, " -> ");
 666         }
 667         p = isl_printer_print_str(p, "{ ");
 668         p = print_dim(bset->dim, p, 1, latex, NULL);
 669         p = isl_printer_print_str(p, " : ");
 670         p = print_disjunct((isl_basic_map *)bset, bset->dim, p, 1, latex);
 671         p = isl_printer_print_str(p, " }");
 672         p = isl_printer_end_line(p);
 673         return p;
 674 }
 675
 676 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
 677         __isl_take isl_printer *p, int set, int latex)
 678 {
 679         int i;
 680
 681         if (isl_map_fast_is_universe(map))
 682                 return p;
 683
 684         p = isl_printer_print_str(p, s_such_that[latex]);
 685         if (map->n == 0)
 686                 p = isl_printer_print_str(p, "1 = 0");
 687         for (i = 0; i < map->n; ++i) {
 688                 if (i)
 689                         p = isl_printer_print_str(p, s_or[latex]);
 690                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 691                         p = isl_printer_print_str(p, "(");
 692                 p = print_disjunct(map->p[i], map->dim, p, set, latex);
 693                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 694                         p = isl_printer_print_str(p, ")");
 695         }
 696         return p;
 697 }
 698
 699 struct isl_aff_split {
 700         isl_basic_map *aff;
 701         isl_map *map;
 702 };
 703
 704 static void free_split(__isl_take struct isl_aff_split *split, int n)
 705 {
 706         int i;
 707
 708         if (!split)
 709                 return;
 710
 711         for (i = 0; i < n; ++i) {
 712                 isl_basic_map_free(split[i].aff);
 713                 isl_map_free(split[i].map);
 714         }
 715
 716         free(split);
 717 }
 718
 719 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
 720 {
 721         int i, j;
 722         unsigned nparam, n_in, n_out, total;
 723
 724         bmap = isl_basic_map_cow(bmap);
 725         if (!bmap)
 726                 return NULL;
 727         if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
 728                 goto error;
 729
 730         nparam = isl_basic_map_dim(bmap, isl_dim_param);
 731         n_in = isl_basic_map_dim(bmap, isl_dim_in);
 732         n_out = isl_basic_map_dim(bmap, isl_dim_out);
 733         total = isl_basic_map_dim(bmap, isl_dim_all);
 734         for (i = bmap->n_eq - 1; i >= 0; --i) {
 735                 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
 736                 if (j >= nparam && j < nparam + n_in + n_out &&
 737                     (isl_int_is_one(bmap->eq[i][1 + j]) ||
 738                      isl_int_is_negone(bmap->eq[i][1 + j])))
 739                         continue;
 740                 if (isl_basic_map_drop_equality(bmap, i) < 0)
 741                         goto error;
 742         }
 743
 744         bmap = isl_basic_map_finalize(bmap);
 745
 746         return bmap;
 747 error:
 748         isl_basic_map_free(bmap);
 749         return NULL;
 750 }
 751
 752 static int aff_split_cmp(const void *p1, const void *p2)
 753 {
 754         const struct isl_aff_split *s1, *s2;
 755         s1 = (const struct isl_aff_split *) p1;
 756         s2 = (const struct isl_aff_split *) p2;
 757
 758         return isl_basic_map_fast_cmp(s1->aff, s2->aff);
 759 }
 760
 761 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
 762         __isl_keep isl_basic_map *aff)
 763 {
 764         int i, j;
 765         unsigned total;
 766
 767         if (!bmap || !aff)
 768                 goto error;
 769
 770         total = isl_dim_total(bmap->dim);
 771
 772         for (i = bmap->n_eq - 1; i >= 0; --i) {
 773                 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
 774                                             bmap->n_div) != -1)
 775                         continue;
 776                 for (j = 0; j < aff->n_eq; ++j) {
 777                         if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
 778                             !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
 779                                 continue;
 780                         if (isl_basic_map_drop_equality(bmap, i) < 0)
 781                                 goto error;
 782                         break;
 783                 }
 784         }
 785
 786         return bmap;
 787 error:
 788         isl_basic_map_free(bmap);
 789         return NULL;
 790 }
 791
 792 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
 793 {
 794         int i, n;
 795         struct isl_aff_split *split;
 796
 797         split = isl_calloc_array(map->isl, struct isl_aff_split, map->n);
 798         if (!split)
 799                 return NULL;
 800
 801         for (i = 0; i < map->n; ++i) {
 802                 isl_basic_map *bmap;
 803                 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
 804                 bmap = isl_basic_map_copy(map->p[i]);
 805                 bmap = isl_basic_map_cow(bmap);
 806                 bmap = drop_aff(bmap, split[i].aff);
 807                 split[i].map = isl_map_from_basic_map(bmap);
 808                 if (!split[i].aff || !split[i].map)
 809                         goto error;
 810         }
 811
 812         qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
 813
 814         n = map->n;
 815         for (i = n - 1; i >= 1; --i) {
 816                 if (!isl_basic_map_fast_is_equal(split[i - 1].aff,
 817                                                  split[i].aff))
 818                         continue;
 819                 isl_basic_map_free(split[i].aff);
 820                 split[i - 1].map = isl_map_union(split[i - 1].map,
 821                                                  split[i].map);
 822                 if (i != n - 1)
 823                         split[i] = split[n - 1];
 824                 split[n - 1].aff = NULL;
 825                 split[n - 1].map = NULL;
 826                 --n;
 827         }
 828
 829         return split;
 830 error:
 831         free_split(split, map->n);
 832         return NULL;
 833 }
 834
 835 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
 836         struct isl_aff_split *split, int n, int set)
 837 {
 838         int i;
 839
 840         for (i = 0; i < n; ++i) {
 841                 isl_dim *dim;
 842
 843                 if (!split[i].map)
 844                         break;
 845                 dim = split[i].map->dim;
 846                 if (i)
 847                         p = isl_printer_print_str(p, "; ");
 848                 p = print_dim(dim, p, set, 0, split[i].aff);
 849                 p = print_disjuncts(split[i].map, p, set, 0);
 850         }
 851
 852         return p;
 853 }
 854
 855 static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
 856         __isl_take isl_printer *p, int set)
 857 {
 858         struct isl_aff_split *split = NULL;
 859
 860         if (map->n > 0)
 861                 split = split_aff(map);
 862         if (split) {
 863                 p = print_split_map(p, split, map->n, set);
 864         } else {
 865                 p = print_dim(map->dim, p, set, 0, NULL);
 866                 p = print_disjuncts(map, p, set, 0);
 867         }
 868         free_split(split, map->n);
 869         return p;
 870 }
 871
 872 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
 873         __isl_take isl_printer *p, int set)
 874 {
 875         if (isl_map_dim(map, isl_dim_param) > 0) {
 876                 p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
 877                 p = isl_printer_print_str(p, s_to[0]);
 878         }
 879         p = isl_printer_print_str(p, s_open_set[0]);
 880         p = isl_map_print_isl_body(map, p, set);
 881         p = isl_printer_print_str(p, s_close_set[0]);
 882         return p;
 883 }
 884
 885 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
 886         __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
 887 {
 888         if (isl_map_dim(map, isl_dim_param) > 0) {
 889                 p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
 890                 p = isl_printer_print_str(p, s_to[1]);
 891         }
 892         p = isl_printer_print_str(p, s_open_set[1]);
 893         p = print_dim(map->dim, p, set, 1, aff);
 894         p = print_disjuncts(map, p, set, 1);
 895         p = isl_printer_print_str(p, s_close_set[1]);
 896
 897         return p;
 898 }
 899
 900 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
 901         __isl_take isl_printer *p, int set)
 902 {
 903         int i;
 904         struct isl_aff_split *split = NULL;
 905
 906         if (map->n > 0)
 907                 split = split_aff(map);
 908
 909         if (!split)
 910                 return print_latex_map(map, p, NULL, set);
 911
 912         for (i = 0; i < map->n; ++i) {
 913                 if (!split[i].map)
 914                         break;
 915                 if (i)
 916                         p = isl_printer_print_str(p, " \\cup ");
 917                 p = print_latex_map(split[i].map, p, split[i].aff, set);
 918         }
 919
 920         free_split(split, map->n);
 921         return p;
 922 }
 923
 924 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
 925         __isl_keep isl_basic_map *bmap)
 926 {
 927         if (!p || !bmap)
 928                 goto error;
 929         if (p->output_format == ISL_FORMAT_ISL)
 930                 return isl_basic_map_print_isl(bmap, p, 0);
 931         else if (p->output_format == ISL_FORMAT_OMEGA)
 932                 return isl_basic_map_print_omega(bmap, p);
 933         isl_assert(bmap->ctx, 0, goto error);
 934 error:
 935         isl_printer_free(p);
 936         return NULL;
 937 }
 938
 939 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
 940         const char *prefix, const char *suffix, unsigned output_format)
 941 {
 942         isl_printer *printer;
 943
 944         if (!bmap)
 945                 return;
 946
 947         printer = isl_printer_to_file(bmap->ctx, out);
 948         printer = isl_printer_set_indent(printer, indent);
 949         printer = isl_printer_set_prefix(printer, prefix);
 950         printer = isl_printer_set_suffix(printer, suffix);
 951         printer = isl_printer_set_output_format(printer, output_format);
 952         isl_printer_print_basic_map(printer, bmap);
 953
 954         isl_printer_free(printer);
 955 }
 956
 957 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
 958         __isl_keep isl_basic_set *bset)
 959 {
 960         if (!p || !bset)
 961                 goto error;
 962
 963         if (p->output_format == ISL_FORMAT_ISL)
 964                 return isl_basic_set_print_isl(bset, p, 0);
 965         else if (p->output_format == ISL_FORMAT_POLYLIB)
 966                 return isl_basic_set_print_polylib(bset, p, 0);
 967         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
 968                 return isl_basic_set_print_polylib(bset, p, 1);
 969         else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
 970                 return bset_print_constraints_polylib(bset, p);
 971         else if (p->output_format == ISL_FORMAT_OMEGA)
 972                 return isl_basic_set_print_omega(bset, p);
 973         isl_assert(p->ctx, 0, goto error);
 974 error:
 975         isl_printer_free(p);
 976         return NULL;
 977 }
 978
 979 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
 980         const char *prefix, const char *suffix, unsigned output_format)
 981 {
 982         isl_printer *printer;
 983
 984         if (!bset)
 985                 return;
 986
 987         printer = isl_printer_to_file(bset->ctx, out);
 988         printer = isl_printer_set_indent(printer, indent);
 989         printer = isl_printer_set_prefix(printer, prefix);
 990         printer = isl_printer_set_suffix(printer, suffix);
 991         printer = isl_printer_set_output_format(printer, output_format);
 992         isl_printer_print_basic_set(printer, bset);
 993
 994         isl_printer_free(printer);
 995 }
 996
 997 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
 998         __isl_keep isl_set *set)
 999 {
1000         if (!p || !set)
1001                 goto error;
1002         if (p->output_format == ISL_FORMAT_ISL)
1003                 return isl_map_print_isl((isl_map *)set, p, 1);
1004         else if (p->output_format == ISL_FORMAT_POLYLIB)
1005                 return isl_set_print_polylib(set, p, 0);
1006         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1007                 return isl_set_print_polylib(set, p, 1);
1008         else if (p->output_format == ISL_FORMAT_OMEGA)
1009                 return isl_set_print_omega(set, p);
1010         else if (p->output_format == ISL_FORMAT_LATEX)
1011                 return isl_map_print_latex((isl_map *)set, p, 1);
1012         isl_assert(set->ctx, 0, goto error);
1013 error:
1014         isl_printer_free(p);
1015         return NULL;
1016 }
1017
1018 void isl_set_print(struct isl_set *set, FILE *out, int indent,
1019         unsigned output_format)
1020 {
1021         isl_printer *printer;
1022
1023         if (!set)
1024                 return;
1025
1026         printer = isl_printer_to_file(set->ctx, out);
1027         printer = isl_printer_set_indent(printer, indent);
1028         printer = isl_printer_set_output_format(printer, output_format);
1029         printer = isl_printer_print_set(printer, set);
1030
1031         isl_printer_free(printer);
1032 }
1033
1034 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
1035         __isl_keep isl_map *map)
1036 {
1037         if (!p || !map)
1038                 goto error;
1039
1040         if (p->output_format == ISL_FORMAT_ISL)
1041                 return isl_map_print_isl(map, p, 0);
1042         else if (p->output_format == ISL_FORMAT_POLYLIB)
1043                 return isl_map_print_polylib(map, p, 0);
1044         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1045                 return isl_map_print_polylib(map, p, 1);
1046         else if (p->output_format == ISL_FORMAT_OMEGA)
1047                 return isl_map_print_omega(map, p);
1048         else if (p->output_format == ISL_FORMAT_LATEX)
1049                 return isl_map_print_latex(map, p, 0);
1050         isl_assert(map->ctx, 0, goto error);
1051 error:
1052         isl_printer_free(p);
1053         return NULL;
1054 }
1055
1056 struct isl_union_print_data {
1057         isl_printer *p;
1058         int set;
1059         int first;
1060 };
1061
1062 static int print_map_body(__isl_take isl_map *map, void *user)
1063 {
1064         struct isl_union_print_data *data;
1065         data = (struct isl_union_print_data *)user;
1066
1067         if (!data->first)
1068                 data->p = isl_printer_print_str(data->p, "; ");
1069         data->first = 0;
1070
1071         data->p = isl_map_print_isl_body(map, data->p, data->set);
1072         isl_map_free(map);
1073
1074         return 0;
1075 }
1076
1077 static __isl_give isl_printer *isl_union_map_print_isl(
1078         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1079 {
1080         struct isl_union_print_data data = { p, set, 1 };
1081         isl_dim *dim;
1082         dim = isl_union_map_get_dim(umap);
1083         if (isl_dim_size(dim, isl_dim_param) > 0) {
1084                 p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
1085                 p = isl_printer_print_str(p, s_to[0]);
1086         }
1087         isl_dim_free(dim);
1088         p = isl_printer_print_str(p, s_open_set[0]);
1089         isl_union_map_foreach_map(umap, &print_map_body, &data);
1090         p = data.p;
1091         p = isl_printer_print_str(p, s_close_set[0]);
1092         return p;
1093 }
1094
1095 static int print_latex_map_body(__isl_take isl_map *map, void *user)
1096 {
1097         struct isl_union_print_data *data;
1098         data = (struct isl_union_print_data *)user;
1099
1100         if (!data->first)
1101                 data->p = isl_printer_print_str(data->p, " \\cup ");
1102         data->first = 0;
1103
1104         data->p = isl_map_print_latex(map, data->p, data->set);
1105         isl_map_free(map);
1106
1107         return 0;
1108 }
1109
1110 static __isl_give isl_printer *isl_union_map_print_latex(
1111         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1112 {
1113         struct isl_union_print_data data = { p, set, 1 };
1114         isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
1115         p = data.p;
1116         return p;
1117 }
1118
1119 __isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
1120         __isl_keep isl_union_map *umap)
1121 {
1122         if (!p || !umap)
1123                 goto error;
1124
1125         if (p->output_format == ISL_FORMAT_ISL)
1126                 return isl_union_map_print_isl(umap, p, 0);
1127         if (p->output_format == ISL_FORMAT_LATEX)
1128                 return isl_union_map_print_latex(umap, p, 0);
1129
1130         isl_die(p->ctx, isl_error_invalid,
1131                 "invalid output format for isl_union_map", goto error);
1132 error:
1133         isl_printer_free(p);
1134         return NULL;
1135 }
1136
1137 __isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
1138         __isl_keep isl_union_set *uset)
1139 {
1140         if (!p || !uset)
1141                 goto error;
1142
1143         if (p->output_format == ISL_FORMAT_ISL)
1144                 return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
1145         if (p->output_format == ISL_FORMAT_LATEX)
1146                 return isl_union_map_print_latex((isl_union_map *)uset, p, 1);
1147
1148         isl_die(p->ctx, isl_error_invalid,
1149                 "invalid output format for isl_union_set", goto error);
1150 error:
1151         isl_printer_free(p);
1152         return NULL;
1153 }
1154
1155 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
1156         unsigned output_format)
1157 {
1158         isl_printer *printer;
1159
1160         if (!map)
1161                 return;
1162
1163         printer = isl_printer_to_file(map->ctx, out);
1164         printer = isl_printer_set_indent(printer, indent);
1165         printer = isl_printer_set_output_format(printer, output_format);
1166         printer = isl_printer_print_map(printer, map);
1167
1168         isl_printer_free(printer);
1169 }
1170
1171 void isl_union_map_dump(__isl_keep isl_union_map *umap)
1172 {
1173         isl_printer *printer;
1174
1175         if (!umap)
1176                 return;
1177
1178         printer = isl_printer_to_file(isl_union_map_get_ctx(umap), stderr);
1179         printer = isl_printer_print_union_map(printer, umap);
1180         printer = isl_printer_end_line(printer);
1181
1182         isl_printer_free(printer);
1183 }
1184
1185 void isl_union_set_dump(__isl_keep isl_union_set *uset)
1186 {
1187         isl_printer *printer;
1188
1189         if (!uset)
1190                 return;
1191
1192         printer = isl_printer_to_file(isl_union_set_get_ctx(uset), stderr);
1193         printer = isl_printer_print_union_set(printer, uset);
1194         printer = isl_printer_end_line(printer);
1195
1196         isl_printer_free(printer);
1197 }
1198
1199 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial *upwqp)
1200 {
1201         isl_printer *printer;
1202
1203         if (!upwqp)
1204                 return;
1205
1206         printer = isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp),
1207                                         stderr);
1208         printer = isl_printer_print_union_pw_qpolynomial(printer, upwqp);
1209         printer = isl_printer_end_line(printer);
1210
1211         isl_printer_free(printer);
1212 }
1213
1214 void isl_union_pw_qpolynomial_fold_dump(
1215         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1216 {
1217         isl_printer *printer;
1218
1219         if (!upwf)
1220                 return;
1221
1222         printer = isl_printer_to_file(
1223                         isl_union_pw_qpolynomial_fold_get_ctx(upwf), stderr);
1224         printer = isl_printer_print_union_pw_qpolynomial_fold(printer, upwf);
1225         printer = isl_printer_end_line(printer);
1226
1227         isl_printer_free(printer);
1228 }
1229
1230 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
1231 {
1232         int i;
1233         int n;
1234
1235         for (i = 0, n = 0; i < rec->n; ++i)
1236                 if (!isl_upoly_is_zero(rec->p[i]))
1237                         ++n;
1238
1239         return n;
1240 }
1241
1242 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
1243         __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
1244 {
1245         int c = p->output_format == ISL_FORMAT_C;
1246         p = isl_printer_print_str(p, c ? "floord(" : "[(");
1247         p = print_affine_of_len(dim, div, p,
1248                                 div->row[pos] + 1, div->n_col - 1, 1);
1249         p = isl_printer_print_str(p, c ? ", " : ")/");
1250         p = isl_printer_print_isl_int(p, div->row[pos][0]);
1251         p = isl_printer_print_str(p, c ? ")" : "]");
1252         return p;
1253 }
1254
1255 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
1256         __isl_take isl_printer *p, int first)
1257 {
1258         struct isl_upoly_cst *cst;
1259         int neg;
1260
1261         cst = isl_upoly_as_cst(up);
1262         if (!cst)
1263                 goto error;
1264         neg = !first && isl_int_is_neg(cst->n);
1265         if (!first)
1266                 p = isl_printer_print_str(p, neg ? " - " :  " + ");
1267         if (neg)
1268                 isl_int_neg(cst->n, cst->n);
1269         if (isl_int_is_zero(cst->d)) {
1270                 int sgn = isl_int_sgn(cst->n);
1271                 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1272                                             sgn == 0 ? "NaN" : "infty");
1273         } else
1274                 p = isl_printer_print_isl_int(p, cst->n);
1275         if (neg)
1276                 isl_int_neg(cst->n, cst->n);
1277         if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1278                 p = isl_printer_print_str(p, "/");
1279                 p = isl_printer_print_isl_int(p, cst->d);
1280         }
1281         return p;
1282 error:
1283         isl_printer_free(p);
1284         return NULL;
1285 }
1286
1287 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1288         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
1289 {
1290         unsigned total;
1291
1292         total = isl_dim_total(dim);
1293         if (var < total)
1294                 p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 1, 0);
1295         else
1296                 p = print_div(dim, div, var - total, p);
1297         return p;
1298 }
1299
1300 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1301         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
1302 {
1303         p = print_base(p, dim, div, var);
1304         if (exp == 1)
1305                 return p;
1306         if (p->output_format == ISL_FORMAT_C) {
1307                 int i;
1308                 for (i = 1; i < exp; ++i) {
1309                         p = isl_printer_print_str(p, "*");
1310                         p = print_base(p, dim, div, var);
1311                 }
1312         } else {
1313                 p = isl_printer_print_str(p, "^");
1314                 p = isl_printer_print_int(p, exp);
1315         }
1316         return p;
1317 }
1318
1319 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1320         __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
1321         __isl_take isl_printer *p, int outer)
1322 {
1323         int i, n, first, print_parens;
1324         struct isl_upoly_rec *rec;
1325
1326         if (!p || !up || !dim || !div)
1327                 goto error;
1328
1329         if (isl_upoly_is_cst(up))
1330                 return upoly_print_cst(up, p, 1);
1331
1332         rec = isl_upoly_as_rec(up);
1333         if (!rec)
1334                 goto error;
1335         n = upoly_rec_n_non_zero(rec);
1336         print_parens = n > 1 || (outer && rec->up.var >= isl_dim_total(dim));
1337         if (print_parens)
1338                 p = isl_printer_print_str(p, "(");
1339         for (i = 0, first = 1; i < rec->n; ++i) {
1340                 if (isl_upoly_is_zero(rec->p[i]))
1341                         continue;
1342                 if (isl_upoly_is_negone(rec->p[i])) {
1343                         if (!i)
1344                                 p = isl_printer_print_str(p, "-1");
1345                         else if (first)
1346                                 p = isl_printer_print_str(p, "-");
1347                         else
1348                                 p = isl_printer_print_str(p, " - ");
1349                 } else if (isl_upoly_is_cst(rec->p[i]) &&
1350                                 !isl_upoly_is_one(rec->p[i]))
1351                         p = upoly_print_cst(rec->p[i], p, first);
1352                 else {
1353                         if (!first)
1354                                 p = isl_printer_print_str(p, " + ");
1355                         if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1356                                 p = upoly_print(rec->p[i], dim, div, p, 0);
1357                 }
1358                 first = 0;
1359                 if (i == 0)
1360                         continue;
1361                 if (!isl_upoly_is_one(rec->p[i]) &&
1362                     !isl_upoly_is_negone(rec->p[i]))
1363                         p = isl_printer_print_str(p, " * ");
1364                 p = print_pow(p, dim, div, rec->up.var, i);
1365         }
1366         if (print_parens)
1367                 p = isl_printer_print_str(p, ")");
1368         return p;
1369 error:
1370         isl_printer_free(p);
1371         return NULL;
1372 }
1373
1374 __isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
1375         __isl_keep isl_qpolynomial *qp)
1376 {
1377         if (!p || !qp)
1378                 goto error;
1379         p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
1380         return p;
1381 error:
1382         isl_printer_free(p);
1383         return NULL;
1384 }
1385
1386 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1387         unsigned output_format)
1388 {
1389         isl_printer *p;
1390
1391         if  (!qp)
1392                 return;
1393
1394         isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1395         p = isl_printer_to_file(qp->dim->ctx, out);
1396         p = isl_printer_print_qpolynomial(p, qp);
1397         isl_printer_free(p);
1398 }
1399
1400 static __isl_give isl_printer *qpolynomial_fold_print(
1401         __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1402 {
1403         int i;
1404
1405         if (fold->type == isl_fold_min)
1406                 p = isl_printer_print_str(p, "min");
1407         else if (fold->type == isl_fold_max)
1408                 p = isl_printer_print_str(p, "max");
1409         p = isl_printer_print_str(p, "(");
1410         for (i = 0; i < fold->n; ++i) {
1411                 if (i)
1412                         p = isl_printer_print_str(p, ", ");
1413                 p = isl_printer_print_qpolynomial(p, fold->qp[i]);
1414         }
1415         p = isl_printer_print_str(p, ")");
1416         return p;
1417 }
1418
1419 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1420         __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1421 {
1422         if  (!p || !fold)
1423                 goto error;
1424         p = qpolynomial_fold_print(fold, p);
1425         return p;
1426 error:
1427         isl_printer_free(p);
1428         return NULL;
1429 }
1430
1431 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1432         FILE *out, unsigned output_format)
1433 {
1434         isl_printer *p;
1435
1436         if (!fold)
1437                 return;
1438
1439         isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1440
1441         p = isl_printer_to_file(fold->dim->ctx, out);
1442         p = isl_printer_print_qpolynomial_fold(p, fold);
1443
1444         isl_printer_free(p);
1445 }
1446
1447 static __isl_give isl_printer *isl_pwqp_print_isl_body(
1448         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1449 {
1450         int i = 0;
1451
1452         for (i = 0; i < pwqp->n; ++i) {
1453                 if (i)
1454                         p = isl_printer_print_str(p, "; ");
1455                 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1456                     isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1457                         p = print_dim(pwqp->p[i].set->dim, p, 1, 0, NULL);
1458                         p = isl_printer_print_str(p, " -> ");
1459                 }
1460                 p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
1461                 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
1462         }
1463
1464         return p;
1465 }
1466
1467 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1468         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1469 {
1470         if (!p || !pwqp)
1471                 goto error;
1472
1473         if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
1474                 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
1475                 p = isl_printer_print_str(p, " -> ");
1476         }
1477         p = isl_printer_print_str(p, "{ ");
1478         if (pwqp->n == 0) {
1479                 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1480                     isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1481                         p = print_dim(pwqp->dim, p, 1, 0, NULL);
1482                         p = isl_printer_print_str(p, " -> ");
1483                 }
1484                 p = isl_printer_print_str(p, "0");
1485         }
1486         p = isl_pwqp_print_isl_body(p, pwqp);
1487         p = isl_printer_print_str(p, " }");
1488         return p;
1489 error:
1490         isl_printer_free(p);
1491         return NULL;
1492 }
1493
1494 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1495         unsigned output_format)
1496 {
1497         isl_printer *p;
1498
1499         if (!pwqp)
1500                 return;
1501
1502         p = isl_printer_to_file(pwqp->dim->ctx, out);
1503         p = isl_printer_set_output_format(p, output_format);
1504         p = isl_printer_print_pw_qpolynomial(p, pwqp);
1505
1506         isl_printer_free(p);
1507 }
1508
1509 static __isl_give isl_printer *isl_pwf_print_isl_body(
1510         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1511 {
1512         int i = 0;
1513
1514         for (i = 0; i < pwf->n; ++i) {
1515                 if (i)
1516                         p = isl_printer_print_str(p, "; ");
1517                 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1518                     isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1519                         p = print_dim(pwf->p[i].set->dim, p, 1, 0, NULL);
1520                         p = isl_printer_print_str(p, " -> ");
1521                 }
1522                 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1523                 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
1524         }
1525
1526         return p;
1527 }
1528
1529 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1530         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1531 {
1532         if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
1533                 p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
1534                 p = isl_printer_print_str(p, " -> ");
1535         }
1536         p = isl_printer_print_str(p, "{ ");
1537         if (pwf->n == 0) {
1538                 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1539                     isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1540                         p = print_dim(pwf->dim, p, 1, 0, NULL);
1541                         p = isl_printer_print_str(p, " -> ");
1542                 }
1543                 p = isl_printer_print_str(p, "0");
1544         }
1545         p = isl_pwf_print_isl_body(p, pwf);
1546         p = isl_printer_print_str(p, " }");
1547         return p;
1548 }
1549
1550 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1551         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c);
1552
1553 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1554         __isl_keep isl_dim *dim,
1555         __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1556 {
1557         if (type == isl_dim_div) {
1558                 p = isl_printer_print_str(p, "floord(");
1559                 p = print_affine_c(p, dim, bset, bset->div[pos] + 1);
1560                 p = isl_printer_print_str(p, ", ");
1561                 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1562                 p = isl_printer_print_str(p, ")");
1563         } else {
1564                 const char *name;
1565
1566                 name = isl_dim_get_name(dim, type, pos);
1567                 if (!name)
1568                         name = "UNNAMED";
1569                 p = isl_printer_print_str(p, name);
1570         }
1571         return p;
1572 }
1573
1574 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1575         __isl_keep isl_dim *dim,
1576         __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1577 {
1578         enum isl_dim_type type;
1579         unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);
1580
1581         if (pos == 0)
1582                 return isl_printer_print_isl_int(p, c);
1583
1584         if (isl_int_is_one(c))
1585                 ;
1586         else if (isl_int_is_negone(c))
1587                 p = isl_printer_print_str(p, "-");
1588         else {
1589                 p = isl_printer_print_isl_int(p, c);
1590                 p = isl_printer_print_str(p, "*");
1591         }
1592         type = pos2type(dim, &pos);
1593         p = print_name_c(p, dim, bset, type, pos);
1594         return p;
1595 }
1596
1597 static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
1598         __isl_keep isl_dim *dim,
1599         __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
1600 {
1601         int i;
1602         int first;
1603
1604         for (i = 0, first = 1; i < len; ++i) {
1605                 int flip = 0;
1606                 if (isl_int_is_zero(c[i]))
1607                         continue;
1608                 if (!first) {
1609                         if (isl_int_is_neg(c[i])) {
1610                                 flip = 1;
1611                                 isl_int_neg(c[i], c[i]);
1612                                 p = isl_printer_print_str(p, " - ");
1613                         } else
1614                                 p = isl_printer_print_str(p, " + ");
1615                 }
1616                 first = 0;
1617                 p = print_term_c(p, dim, bset, c[i], i);
1618                 if (flip)
1619                         isl_int_neg(c[i], c[i]);
1620         }
1621         if (first)
1622                 p = isl_printer_print_str(p, "0");
1623         return p;
1624 }
1625
1626 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1627         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c)
1628 {
1629         unsigned len = 1 + isl_basic_set_total_dim(bset);
1630         return print_partial_affine_c(p, dim, bset, c, len);
1631 }
1632
1633 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1634         __isl_keep isl_dim *dim,
1635         __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1636 {
1637         if (!first)
1638                 p = isl_printer_print_str(p, " && ");
1639
1640         p = print_affine_c(p, dim, bset, c);
1641         p = isl_printer_print_str(p, " ");
1642         p = isl_printer_print_str(p, op);
1643         p = isl_printer_print_str(p, " 0");
1644         return p;
1645 }
1646
1647 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1648         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset)
1649 {
1650         int i, j;
1651         unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
1652         unsigned total = isl_basic_set_total_dim(bset) - n_div;
1653
1654         for (i = 0; i < bset->n_eq; ++i) {
1655                 j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
1656                 if (j < 0)
1657                         p = print_constraint_c(p, dim, bset,
1658                                                 bset->eq[i], "==", !i);
1659                 else {
1660                         if (i)
1661                                 p = isl_printer_print_str(p, " && ");
1662                         p = isl_printer_print_str(p, "(");
1663                         p = print_partial_affine_c(p, dim, bset, bset->eq[i],
1664                                                    1 + total + j);
1665                         p = isl_printer_print_str(p, ") % ");
1666                         p = isl_printer_print_isl_int(p,
1667                                                 bset->eq[i][1 + total + j]);
1668                         p = isl_printer_print_str(p, " == 0");
1669                 }
1670         }
1671         for (i = 0; i < bset->n_ineq; ++i)
1672                 p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=",
1673                                         !bset->n_eq && !i);
1674         return p;
1675 }
1676
1677 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1678         __isl_keep isl_dim *dim, __isl_keep isl_set *set)
1679 {
1680         int i;
1681
1682         if (set->n == 0)
1683                 p = isl_printer_print_str(p, "0");
1684
1685         for (i = 0; i < set->n; ++i) {
1686                 if (i)
1687                         p = isl_printer_print_str(p, " || ");
1688                 if (set->n > 1)
1689                         p = isl_printer_print_str(p, "(");
1690                 p = print_basic_set_c(p, dim, set->p[i]);
1691                 if (set->n > 1)
1692                         p = isl_printer_print_str(p, ")");
1693         }
1694         return p;
1695 }
1696
1697 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1698         __isl_keep isl_dim *dim, __isl_keep isl_qpolynomial *qp)
1699 {
1700         isl_int den;
1701
1702         isl_int_init(den);
1703         isl_qpolynomial_get_den(qp, &den);
1704         if (!isl_int_is_one(den)) {
1705                 isl_qpolynomial *f;
1706                 p = isl_printer_print_str(p, "(");
1707                 qp = isl_qpolynomial_copy(qp);
1708                 f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
1709                                                 den, qp->dim->ctx->one);
1710                 qp = isl_qpolynomial_mul(qp, f);
1711         }
1712         if (qp)
1713                 p = upoly_print(qp->upoly, dim, qp->div, p, 0);
1714         if (!isl_int_is_one(den)) {
1715                 p = isl_printer_print_str(p, ")/");
1716                 p = isl_printer_print_isl_int(p, den);
1717                 isl_qpolynomial_free(qp);
1718         }
1719         isl_int_clear(den);
1720         return p;
1721 }
1722
1723 static __isl_give isl_printer *print_pw_qpolynomial_c(
1724         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1725 {
1726         int i;
1727
1728         if (pwqp->n == 1 && isl_set_fast_is_universe(pwqp->p[0].set))
1729                 return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp);
1730
1731         for (i = 0; i < pwqp->n; ++i) {
1732                 p = isl_printer_print_str(p, "(");
1733                 p = print_set_c(p, pwqp->dim, pwqp->p[i].set);
1734                 p = isl_printer_print_str(p, ") ? (");
1735                 p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp);
1736                 p = isl_printer_print_str(p, ") : ");
1737         }
1738
1739         p = isl_printer_print_str(p, "0");
1740         return p;
1741 }
1742
1743 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1744         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1745 {
1746         if (!p || !pwqp)
1747                 goto error;
1748
1749         if (p->output_format == ISL_FORMAT_ISL)
1750                 return print_pw_qpolynomial_isl(p, pwqp);
1751         else if (p->output_format == ISL_FORMAT_C)
1752                 return print_pw_qpolynomial_c(p, pwqp);
1753         isl_assert(p->ctx, 0, goto error);
1754 error:
1755         isl_printer_free(p);
1756         return NULL;
1757 }
1758
1759 static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1760 {
1761         struct isl_union_print_data *data;
1762         data = (struct isl_union_print_data *)user;
1763
1764         if (!data->first)
1765                 data->p = isl_printer_print_str(data->p, "; ");
1766         data->first = 0;
1767
1768         data->p = isl_pwqp_print_isl_body(data->p, pwqp);
1769         isl_pw_qpolynomial_free(pwqp);
1770
1771         return 0;
1772 }
1773
1774 static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
1775         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1776 {
1777         struct isl_union_print_data data = { p, 1, 1 };
1778         isl_dim *dim;
1779         dim = isl_union_pw_qpolynomial_get_dim(upwqp);
1780         if (isl_dim_size(dim, isl_dim_param) > 0) {
1781                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1782                 p = isl_printer_print_str(p, " -> ");
1783         }
1784         isl_dim_free(dim);
1785         p = isl_printer_print_str(p, "{ ");
1786         isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
1787                                                         &data);
1788         p = data.p;
1789         p = isl_printer_print_str(p, " }");
1790         return p;
1791 }
1792
1793 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
1794         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1795 {
1796         if (!p || !upwqp)
1797                 goto error;
1798
1799         if (p->output_format == ISL_FORMAT_ISL)
1800                 return print_union_pw_qpolynomial_isl(p, upwqp);
1801         isl_die(p->ctx, isl_error_invalid,
1802                 "invalid output format for isl_union_pw_qpolynomial",
1803                 goto error);
1804 error:
1805         isl_printer_free(p);
1806         return NULL;
1807 }
1808
1809 static __isl_give isl_printer *print_qpolynomial_fold_c(
1810         __isl_take isl_printer *p, __isl_keep isl_dim *dim,
1811         __isl_keep isl_qpolynomial_fold *fold)
1812 {
1813         int i;
1814
1815         for (i = 0; i < fold->n - 1; ++i)
1816                 if (fold->type == isl_fold_min)
1817                         p = isl_printer_print_str(p, "min(");
1818                 else if (fold->type == isl_fold_max)
1819                         p = isl_printer_print_str(p, "max(");
1820
1821         for (i = 0; i < fold->n; ++i) {
1822                 if (i)
1823                         p = isl_printer_print_str(p, ", ");
1824                 p = print_qpolynomial_c(p, dim, fold->qp[i]);
1825                 if (i)
1826                         p = isl_printer_print_str(p, ")");
1827         }
1828         return p;
1829 }
1830
1831 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1832         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1833 {
1834         int i;
1835
1836         if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
1837                 return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold);
1838
1839         for (i = 0; i < pwf->n; ++i) {
1840                 p = isl_printer_print_str(p, "(");
1841                 p = print_set_c(p, pwf->dim, pwf->p[i].set);
1842                 p = isl_printer_print_str(p, ") ? (");
1843                 p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold);
1844                 p = isl_printer_print_str(p, ") : ");
1845         }
1846
1847         p = isl_printer_print_str(p, "0");
1848         return p;
1849 }
1850
1851 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1852         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1853 {
1854         if (!p || !pwf)
1855                 goto error;
1856
1857         if (p->output_format == ISL_FORMAT_ISL)
1858                 return print_pw_qpolynomial_fold_isl(p, pwf);
1859         else if (p->output_format == ISL_FORMAT_C)
1860                 return print_pw_qpolynomial_fold_c(p, pwf);
1861         isl_assert(p->ctx, 0, goto error);
1862 error:
1863         isl_printer_free(p);
1864         return NULL;
1865 }
1866
1867 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1868         FILE *out, unsigned output_format)
1869 {
1870         isl_printer *p;
1871
1872         if (!pwf)
1873                 return;
1874
1875         p = isl_printer_to_file(pwf->dim->ctx, out);
1876         p = isl_printer_set_output_format(p, output_format);
1877         p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1878
1879         isl_printer_free(p);
1880 }
1881
1882 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1883 {
1884         struct isl_union_print_data *data;
1885         data = (struct isl_union_print_data *)user;
1886
1887         if (!data->first)
1888                 data->p = isl_printer_print_str(data->p, "; ");
1889         data->first = 0;
1890
1891         data->p = isl_pwf_print_isl_body(data->p, pwf);
1892         isl_pw_qpolynomial_fold_free(pwf);
1893
1894         return 0;
1895 }
1896
1897 static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
1898         __isl_take isl_printer *p,
1899         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1900 {
1901         struct isl_union_print_data data = { p, 1, 1 };
1902         isl_dim *dim;
1903         dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
1904         if (isl_dim_size(dim, isl_dim_param) > 0) {
1905                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1906                 p = isl_printer_print_str(p, " -> ");
1907         }
1908         isl_dim_free(dim);
1909         p = isl_printer_print_str(p, "{ ");
1910         isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
1911                                                         &print_pwf_body, &data);
1912         p = data.p;
1913         p = isl_printer_print_str(p, " }");
1914         return p;
1915 }
1916
1917 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
1918         __isl_take isl_printer *p,
1919         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1920 {
1921         if (!p || !upwf)
1922                 goto error;
1923
1924         if (p->output_format == ISL_FORMAT_ISL)
1925                 return print_union_pw_qpolynomial_fold_isl(p, upwf);
1926         isl_die(p->ctx, isl_error_invalid,
1927                 "invalid output format for isl_union_pw_qpolynomial_fold",
1928                 goto error);
1929 error:
1930         isl_printer_free(p);
1931         return NULL;
1932 }