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_map_private.h>
  16 #include <isl/set.h>
  17 #include <isl/seq.h>
  18 #include <isl_polynomial_private.h>
  19 #include <isl_printer_private.h>
  20 #include <isl_dim_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         if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
 644                 p = print_tuple(bmap->dim, p, isl_dim_param, 0, latex, NULL);
 645                 p = isl_printer_print_str(p, " -> ");
 646         }
 647         p = isl_printer_print_str(p, "{ ");
 648         p = print_dim(bmap->dim, p, 0, latex, NULL);
 649         p = isl_printer_print_str(p, " : ");
 650         p = print_disjunct(bmap, bmap->dim, p, 0, latex);
 651         p = isl_printer_print_str(p, " }");
 652         return p;
 653 }
 654
 655 static __isl_give isl_printer *isl_basic_set_print_isl(
 656         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int latex)
 657 {
 658         int i;
 659
 660         if (isl_basic_set_dim(bset, isl_dim_param) > 0) {
 661                 p = print_tuple(bset->dim, p, isl_dim_param, 0, latex, NULL);
 662                 p = isl_printer_print_str(p, " -> ");
 663         }
 664         p = isl_printer_print_str(p, "{ ");
 665         p = print_dim(bset->dim, p, 1, latex, NULL);
 666         p = isl_printer_print_str(p, " : ");
 667         p = print_disjunct((isl_basic_map *)bset, bset->dim, p, 1, latex);
 668         p = isl_printer_print_str(p, " }");
 669         return p;
 670 }
 671
 672 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
 673         __isl_take isl_printer *p, int set, int latex)
 674 {
 675         int i;
 676
 677         if (isl_map_fast_is_universe(map))
 678                 return p;
 679
 680         p = isl_printer_print_str(p, s_such_that[latex]);
 681         if (map->n == 0)
 682                 p = isl_printer_print_str(p, "1 = 0");
 683         for (i = 0; i < map->n; ++i) {
 684                 if (i)
 685                         p = isl_printer_print_str(p, s_or[latex]);
 686                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 687                         p = isl_printer_print_str(p, "(");
 688                 p = print_disjunct(map->p[i], map->dim, p, set, latex);
 689                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 690                         p = isl_printer_print_str(p, ")");
 691         }
 692         return p;
 693 }
 694
 695 struct isl_aff_split {
 696         isl_basic_map *aff;
 697         isl_map *map;
 698 };
 699
 700 static void free_split(__isl_take struct isl_aff_split *split, int n)
 701 {
 702         int i;
 703
 704         if (!split)
 705                 return;
 706
 707         for (i = 0; i < n; ++i) {
 708                 isl_basic_map_free(split[i].aff);
 709                 isl_map_free(split[i].map);
 710         }
 711
 712         free(split);
 713 }
 714
 715 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
 716 {
 717         int i, j;
 718         unsigned nparam, n_in, n_out, total;
 719
 720         bmap = isl_basic_map_cow(bmap);
 721         if (!bmap)
 722                 return NULL;
 723         if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
 724                 goto error;
 725
 726         nparam = isl_basic_map_dim(bmap, isl_dim_param);
 727         n_in = isl_basic_map_dim(bmap, isl_dim_in);
 728         n_out = isl_basic_map_dim(bmap, isl_dim_out);
 729         total = isl_basic_map_dim(bmap, isl_dim_all);
 730         for (i = bmap->n_eq - 1; i >= 0; --i) {
 731                 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
 732                 if (j >= nparam && j < nparam + n_in + n_out &&
 733                     (isl_int_is_one(bmap->eq[i][1 + j]) ||
 734                      isl_int_is_negone(bmap->eq[i][1 + j])))
 735                         continue;
 736                 if (isl_basic_map_drop_equality(bmap, i) < 0)
 737                         goto error;
 738         }
 739
 740         bmap = isl_basic_map_finalize(bmap);
 741
 742         return bmap;
 743 error:
 744         isl_basic_map_free(bmap);
 745         return NULL;
 746 }
 747
 748 static int aff_split_cmp(const void *p1, const void *p2)
 749 {
 750         const struct isl_aff_split *s1, *s2;
 751         s1 = (const struct isl_aff_split *) p1;
 752         s2 = (const struct isl_aff_split *) p2;
 753
 754         return isl_basic_map_fast_cmp(s1->aff, s2->aff);
 755 }
 756
 757 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
 758         __isl_keep isl_basic_map *aff)
 759 {
 760         int i, j;
 761         unsigned total;
 762
 763         if (!bmap || !aff)
 764                 goto error;
 765
 766         total = isl_dim_total(bmap->dim);
 767
 768         for (i = bmap->n_eq - 1; i >= 0; --i) {
 769                 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
 770                                             bmap->n_div) != -1)
 771                         continue;
 772                 for (j = 0; j < aff->n_eq; ++j) {
 773                         if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
 774                             !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
 775                                 continue;
 776                         if (isl_basic_map_drop_equality(bmap, i) < 0)
 777                                 goto error;
 778                         break;
 779                 }
 780         }
 781
 782         return bmap;
 783 error:
 784         isl_basic_map_free(bmap);
 785         return NULL;
 786 }
 787
 788 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
 789 {
 790         int i, n;
 791         struct isl_aff_split *split;
 792
 793         split = isl_calloc_array(map->isl, struct isl_aff_split, map->n);
 794         if (!split)
 795                 return NULL;
 796
 797         for (i = 0; i < map->n; ++i) {
 798                 isl_basic_map *bmap;
 799                 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
 800                 bmap = isl_basic_map_copy(map->p[i]);
 801                 bmap = isl_basic_map_cow(bmap);
 802                 bmap = drop_aff(bmap, split[i].aff);
 803                 split[i].map = isl_map_from_basic_map(bmap);
 804                 if (!split[i].aff || !split[i].map)
 805                         goto error;
 806         }
 807
 808         qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
 809
 810         n = map->n;
 811         for (i = n - 1; i >= 1; --i) {
 812                 if (!isl_basic_map_fast_is_equal(split[i - 1].aff,
 813                                                  split[i].aff))
 814                         continue;
 815                 isl_basic_map_free(split[i].aff);
 816                 split[i - 1].map = isl_map_union(split[i - 1].map,
 817                                                  split[i].map);
 818                 if (i != n - 1)
 819                         split[i] = split[n - 1];
 820                 split[n - 1].aff = NULL;
 821                 split[n - 1].map = NULL;
 822                 --n;
 823         }
 824
 825         return split;
 826 error:
 827         free_split(split, map->n);
 828         return NULL;
 829 }
 830
 831 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
 832         struct isl_aff_split *split, int n, int set)
 833 {
 834         int i;
 835
 836         for (i = 0; i < n; ++i) {
 837                 isl_dim *dim;
 838
 839                 if (!split[i].map)
 840                         break;
 841                 dim = split[i].map->dim;
 842                 if (i)
 843                         p = isl_printer_print_str(p, "; ");
 844                 p = print_dim(dim, p, set, 0, split[i].aff);
 845                 p = print_disjuncts(split[i].map, p, set, 0);
 846         }
 847
 848         return p;
 849 }
 850
 851 static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
 852         __isl_take isl_printer *p, int set)
 853 {
 854         struct isl_aff_split *split = NULL;
 855
 856         if (map->n > 0)
 857                 split = split_aff(map);
 858         if (split) {
 859                 p = print_split_map(p, split, map->n, set);
 860         } else {
 861                 p = print_dim(map->dim, p, set, 0, NULL);
 862                 p = print_disjuncts(map, p, set, 0);
 863         }
 864         free_split(split, map->n);
 865         return p;
 866 }
 867
 868 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
 869         __isl_take isl_printer *p, int set)
 870 {
 871         if (isl_map_dim(map, isl_dim_param) > 0) {
 872                 p = print_tuple(map->dim, p, isl_dim_param, set, 0, NULL);
 873                 p = isl_printer_print_str(p, s_to[0]);
 874         }
 875         p = isl_printer_print_str(p, s_open_set[0]);
 876         p = isl_map_print_isl_body(map, p, set);
 877         p = isl_printer_print_str(p, s_close_set[0]);
 878         return p;
 879 }
 880
 881 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
 882         __isl_take isl_printer *p, __isl_keep isl_basic_map *aff, int set)
 883 {
 884         if (isl_map_dim(map, isl_dim_param) > 0) {
 885                 p = print_tuple(map->dim, p, isl_dim_param, set, 1, NULL);
 886                 p = isl_printer_print_str(p, s_to[1]);
 887         }
 888         p = isl_printer_print_str(p, s_open_set[1]);
 889         p = print_dim(map->dim, p, set, 1, aff);
 890         p = print_disjuncts(map, p, set, 1);
 891         p = isl_printer_print_str(p, s_close_set[1]);
 892
 893         return p;
 894 }
 895
 896 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
 897         __isl_take isl_printer *p, int set)
 898 {
 899         int i;
 900         struct isl_aff_split *split = NULL;
 901
 902         if (map->n > 0)
 903                 split = split_aff(map);
 904
 905         if (!split)
 906                 return print_latex_map(map, p, NULL, set);
 907
 908         for (i = 0; i < map->n; ++i) {
 909                 if (!split[i].map)
 910                         break;
 911                 if (i)
 912                         p = isl_printer_print_str(p, " \\cup ");
 913                 p = print_latex_map(split[i].map, p, split[i].aff, set);
 914         }
 915
 916         free_split(split, map->n);
 917         return p;
 918 }
 919
 920 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
 921         __isl_keep isl_basic_map *bmap)
 922 {
 923         if (!p || !bmap)
 924                 goto error;
 925         if (p->output_format == ISL_FORMAT_ISL)
 926                 return isl_basic_map_print_isl(bmap, p, 0);
 927         else if (p->output_format == ISL_FORMAT_OMEGA)
 928                 return isl_basic_map_print_omega(bmap, p);
 929         isl_assert(bmap->ctx, 0, goto error);
 930 error:
 931         isl_printer_free(p);
 932         return NULL;
 933 }
 934
 935 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
 936         const char *prefix, const char *suffix, unsigned output_format)
 937 {
 938         isl_printer *printer;
 939
 940         if (!bmap)
 941                 return;
 942
 943         printer = isl_printer_to_file(bmap->ctx, out);
 944         printer = isl_printer_set_indent(printer, indent);
 945         printer = isl_printer_set_prefix(printer, prefix);
 946         printer = isl_printer_set_suffix(printer, suffix);
 947         printer = isl_printer_set_output_format(printer, output_format);
 948         isl_printer_print_basic_map(printer, bmap);
 949
 950         isl_printer_free(printer);
 951 }
 952
 953 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
 954         __isl_keep isl_basic_set *bset)
 955 {
 956         if (!p || !bset)
 957                 goto error;
 958
 959         if (p->output_format == ISL_FORMAT_ISL)
 960                 return isl_basic_set_print_isl(bset, p, 0);
 961         else if (p->output_format == ISL_FORMAT_POLYLIB)
 962                 return isl_basic_set_print_polylib(bset, p, 0);
 963         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
 964                 return isl_basic_set_print_polylib(bset, p, 1);
 965         else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
 966                 return bset_print_constraints_polylib(bset, p);
 967         else if (p->output_format == ISL_FORMAT_OMEGA)
 968                 return isl_basic_set_print_omega(bset, p);
 969         isl_assert(p->ctx, 0, goto error);
 970 error:
 971         isl_printer_free(p);
 972         return NULL;
 973 }
 974
 975 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
 976         const char *prefix, const char *suffix, unsigned output_format)
 977 {
 978         isl_printer *printer;
 979
 980         if (!bset)
 981                 return;
 982
 983         printer = isl_printer_to_file(bset->ctx, out);
 984         printer = isl_printer_set_indent(printer, indent);
 985         printer = isl_printer_set_prefix(printer, prefix);
 986         printer = isl_printer_set_suffix(printer, suffix);
 987         printer = isl_printer_set_output_format(printer, output_format);
 988         isl_printer_print_basic_set(printer, bset);
 989
 990         isl_printer_free(printer);
 991 }
 992
 993 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
 994         __isl_keep isl_set *set)
 995 {
 996         if (!p || !set)
 997                 goto error;
 998         if (p->output_format == ISL_FORMAT_ISL)
 999                 return isl_map_print_isl((isl_map *)set, p, 1);
1000         else if (p->output_format == ISL_FORMAT_POLYLIB)
1001                 return isl_set_print_polylib(set, p, 0);
1002         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1003                 return isl_set_print_polylib(set, p, 1);
1004         else if (p->output_format == ISL_FORMAT_OMEGA)
1005                 return isl_set_print_omega(set, p);
1006         else if (p->output_format == ISL_FORMAT_LATEX)
1007                 return isl_map_print_latex((isl_map *)set, p, 1);
1008         isl_assert(set->ctx, 0, goto error);
1009 error:
1010         isl_printer_free(p);
1011         return NULL;
1012 }
1013
1014 void isl_set_print(struct isl_set *set, FILE *out, int indent,
1015         unsigned output_format)
1016 {
1017         isl_printer *printer;
1018
1019         if (!set)
1020                 return;
1021
1022         printer = isl_printer_to_file(set->ctx, out);
1023         printer = isl_printer_set_indent(printer, indent);
1024         printer = isl_printer_set_output_format(printer, output_format);
1025         printer = isl_printer_print_set(printer, set);
1026
1027         isl_printer_free(printer);
1028 }
1029
1030 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
1031         __isl_keep isl_map *map)
1032 {
1033         if (!p || !map)
1034                 goto error;
1035
1036         if (p->output_format == ISL_FORMAT_ISL)
1037                 return isl_map_print_isl(map, p, 0);
1038         else if (p->output_format == ISL_FORMAT_POLYLIB)
1039                 return isl_map_print_polylib(map, p, 0);
1040         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1041                 return isl_map_print_polylib(map, p, 1);
1042         else if (p->output_format == ISL_FORMAT_OMEGA)
1043                 return isl_map_print_omega(map, p);
1044         else if (p->output_format == ISL_FORMAT_LATEX)
1045                 return isl_map_print_latex(map, p, 0);
1046         isl_assert(map->ctx, 0, goto error);
1047 error:
1048         isl_printer_free(p);
1049         return NULL;
1050 }
1051
1052 struct isl_union_print_data {
1053         isl_printer *p;
1054         int set;
1055         int first;
1056 };
1057
1058 static int print_map_body(__isl_take isl_map *map, void *user)
1059 {
1060         struct isl_union_print_data *data;
1061         data = (struct isl_union_print_data *)user;
1062
1063         if (!data->first)
1064                 data->p = isl_printer_print_str(data->p, "; ");
1065         data->first = 0;
1066
1067         data->p = isl_map_print_isl_body(map, data->p, data->set);
1068         isl_map_free(map);
1069
1070         return 0;
1071 }
1072
1073 static __isl_give isl_printer *isl_union_map_print_isl(
1074         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1075 {
1076         struct isl_union_print_data data = { p, set, 1 };
1077         isl_dim *dim;
1078         dim = isl_union_map_get_dim(umap);
1079         if (isl_dim_size(dim, isl_dim_param) > 0) {
1080                 p = print_tuple(dim, p, isl_dim_param, set, 0, NULL);
1081                 p = isl_printer_print_str(p, s_to[0]);
1082         }
1083         isl_dim_free(dim);
1084         p = isl_printer_print_str(p, s_open_set[0]);
1085         isl_union_map_foreach_map(umap, &print_map_body, &data);
1086         p = data.p;
1087         p = isl_printer_print_str(p, s_close_set[0]);
1088         return p;
1089 }
1090
1091 static int print_latex_map_body(__isl_take isl_map *map, void *user)
1092 {
1093         struct isl_union_print_data *data;
1094         data = (struct isl_union_print_data *)user;
1095
1096         if (!data->first)
1097                 data->p = isl_printer_print_str(data->p, " \\cup ");
1098         data->first = 0;
1099
1100         data->p = isl_map_print_latex(map, data->p, data->set);
1101         isl_map_free(map);
1102
1103         return 0;
1104 }
1105
1106 static __isl_give isl_printer *isl_union_map_print_latex(
1107         __isl_keep isl_union_map *umap, __isl_take isl_printer *p, int set)
1108 {
1109         struct isl_union_print_data data = { p, set, 1 };
1110         isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
1111         p = data.p;
1112         return p;
1113 }
1114
1115 __isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
1116         __isl_keep isl_union_map *umap)
1117 {
1118         if (!p || !umap)
1119                 goto error;
1120
1121         if (p->output_format == ISL_FORMAT_ISL)
1122                 return isl_union_map_print_isl(umap, p, 0);
1123         if (p->output_format == ISL_FORMAT_LATEX)
1124                 return isl_union_map_print_latex(umap, p, 0);
1125
1126         isl_die(p->ctx, isl_error_invalid,
1127                 "invalid output format for isl_union_map", goto error);
1128 error:
1129         isl_printer_free(p);
1130         return NULL;
1131 }
1132
1133 __isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
1134         __isl_keep isl_union_set *uset)
1135 {
1136         if (!p || !uset)
1137                 goto error;
1138
1139         if (p->output_format == ISL_FORMAT_ISL)
1140                 return isl_union_map_print_isl((isl_union_map *)uset, p, 1);
1141         if (p->output_format == ISL_FORMAT_LATEX)
1142                 return isl_union_map_print_latex((isl_union_map *)uset, p, 1);
1143
1144         isl_die(p->ctx, isl_error_invalid,
1145                 "invalid output format for isl_union_set", goto error);
1146 error:
1147         isl_printer_free(p);
1148         return NULL;
1149 }
1150
1151 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
1152         unsigned output_format)
1153 {
1154         isl_printer *printer;
1155
1156         if (!map)
1157                 return;
1158
1159         printer = isl_printer_to_file(map->ctx, out);
1160         printer = isl_printer_set_indent(printer, indent);
1161         printer = isl_printer_set_output_format(printer, output_format);
1162         printer = isl_printer_print_map(printer, map);
1163
1164         isl_printer_free(printer);
1165 }
1166
1167 void isl_basic_map_dump(__isl_keep isl_basic_map *bmap)
1168 {
1169         isl_printer *printer;
1170
1171         if (!bmap)
1172                 return;
1173
1174         printer = isl_printer_to_file(isl_basic_map_get_ctx(bmap), stderr);
1175         printer = isl_printer_print_basic_map(printer, bmap);
1176         printer = isl_printer_end_line(printer);
1177
1178         isl_printer_free(printer);
1179 }
1180
1181 void isl_basic_set_dump(__isl_keep isl_basic_set *bset)
1182 {
1183         isl_printer *printer;
1184
1185         if (!bset)
1186                 return;
1187
1188         printer = isl_printer_to_file(isl_basic_set_get_ctx(bset), stderr);
1189         printer = isl_printer_print_basic_set(printer, bset);
1190         printer = isl_printer_end_line(printer);
1191
1192         isl_printer_free(printer);
1193 }
1194
1195 void isl_map_dump(__isl_keep isl_map *map)
1196 {
1197         isl_printer *printer;
1198
1199         if (!map)
1200                 return;
1201
1202         printer = isl_printer_to_file(isl_map_get_ctx(map), stderr);
1203         printer = isl_printer_print_map(printer, map);
1204         printer = isl_printer_end_line(printer);
1205
1206         isl_printer_free(printer);
1207 }
1208
1209 void isl_set_dump(__isl_keep isl_set *set)
1210 {
1211         isl_printer *printer;
1212
1213         if (!set)
1214                 return;
1215
1216         printer = isl_printer_to_file(isl_set_get_ctx(set), stderr);
1217         printer = isl_printer_print_set(printer, set);
1218         printer = isl_printer_end_line(printer);
1219
1220         isl_printer_free(printer);
1221 }
1222
1223 void isl_union_map_dump(__isl_keep isl_union_map *umap)
1224 {
1225         isl_printer *printer;
1226
1227         if (!umap)
1228                 return;
1229
1230         printer = isl_printer_to_file(isl_union_map_get_ctx(umap), stderr);
1231         printer = isl_printer_print_union_map(printer, umap);
1232         printer = isl_printer_end_line(printer);
1233
1234         isl_printer_free(printer);
1235 }
1236
1237 void isl_union_set_dump(__isl_keep isl_union_set *uset)
1238 {
1239         isl_printer *printer;
1240
1241         if (!uset)
1242                 return;
1243
1244         printer = isl_printer_to_file(isl_union_set_get_ctx(uset), stderr);
1245         printer = isl_printer_print_union_set(printer, uset);
1246         printer = isl_printer_end_line(printer);
1247
1248         isl_printer_free(printer);
1249 }
1250
1251 void isl_union_pw_qpolynomial_dump(__isl_keep isl_union_pw_qpolynomial *upwqp)
1252 {
1253         isl_printer *printer;
1254
1255         if (!upwqp)
1256                 return;
1257
1258         printer = isl_printer_to_file(isl_union_pw_qpolynomial_get_ctx(upwqp),
1259                                         stderr);
1260         printer = isl_printer_print_union_pw_qpolynomial(printer, upwqp);
1261         printer = isl_printer_end_line(printer);
1262
1263         isl_printer_free(printer);
1264 }
1265
1266 void isl_qpolynomial_dump(__isl_keep isl_qpolynomial *qp)
1267 {
1268         isl_printer *printer;
1269
1270         if (!qp)
1271                 return;
1272
1273         printer = isl_printer_to_file(isl_qpolynomial_get_ctx(qp), stderr);
1274         printer = isl_printer_print_qpolynomial(printer, qp);
1275         printer = isl_printer_end_line(printer);
1276
1277         isl_printer_free(printer);
1278 }
1279
1280 void isl_qpolynomial_fold_dump(__isl_keep isl_qpolynomial_fold *fold)
1281 {
1282         isl_printer *printer;
1283
1284         if (!fold)
1285                 return;
1286
1287         printer = isl_printer_to_file(isl_qpolynomial_fold_get_ctx(fold),
1288                                         stderr);
1289         printer = isl_printer_print_qpolynomial_fold(printer, fold);
1290         printer = isl_printer_end_line(printer);
1291
1292         isl_printer_free(printer);
1293 }
1294
1295 void isl_pw_qpolynomial_dump(__isl_keep isl_pw_qpolynomial *pwqp)
1296 {
1297         isl_printer *printer;
1298
1299         if (!pwqp)
1300                 return;
1301
1302         printer = isl_printer_to_file(isl_pw_qpolynomial_get_ctx(pwqp), stderr);
1303         printer = isl_printer_print_pw_qpolynomial(printer, pwqp);
1304         printer = isl_printer_end_line(printer);
1305
1306         isl_printer_free(printer);
1307 }
1308
1309 void isl_pw_qpolynomial_fold_dump(__isl_keep isl_pw_qpolynomial_fold *pwf)
1310 {
1311         isl_printer *printer;
1312
1313         if (!pwf)
1314                 return;
1315
1316         printer = isl_printer_to_file(
1317                         isl_pw_qpolynomial_fold_get_ctx(pwf), stderr);
1318         printer = isl_printer_print_pw_qpolynomial_fold(printer, pwf);
1319         printer = isl_printer_end_line(printer);
1320
1321         isl_printer_free(printer);
1322 }
1323
1324 void isl_union_pw_qpolynomial_fold_dump(
1325         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1326 {
1327         isl_printer *printer;
1328
1329         if (!upwf)
1330                 return;
1331
1332         printer = isl_printer_to_file(
1333                         isl_union_pw_qpolynomial_fold_get_ctx(upwf), stderr);
1334         printer = isl_printer_print_union_pw_qpolynomial_fold(printer, upwf);
1335         printer = isl_printer_end_line(printer);
1336
1337         isl_printer_free(printer);
1338 }
1339
1340 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
1341 {
1342         int i;
1343         int n;
1344
1345         for (i = 0, n = 0; i < rec->n; ++i)
1346                 if (!isl_upoly_is_zero(rec->p[i]))
1347                         ++n;
1348
1349         return n;
1350 }
1351
1352 static __isl_give isl_printer *print_div(__isl_keep isl_dim *dim,
1353         __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
1354 {
1355         int c = p->output_format == ISL_FORMAT_C;
1356         p = isl_printer_print_str(p, c ? "floord(" : "[(");
1357         p = print_affine_of_len(dim, div, p,
1358                                 div->row[pos] + 1, div->n_col - 1, 1);
1359         p = isl_printer_print_str(p, c ? ", " : ")/");
1360         p = isl_printer_print_isl_int(p, div->row[pos][0]);
1361         p = isl_printer_print_str(p, c ? ")" : "]");
1362         return p;
1363 }
1364
1365 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
1366         __isl_take isl_printer *p, int first)
1367 {
1368         struct isl_upoly_cst *cst;
1369         int neg;
1370
1371         cst = isl_upoly_as_cst(up);
1372         if (!cst)
1373                 goto error;
1374         neg = !first && isl_int_is_neg(cst->n);
1375         if (!first)
1376                 p = isl_printer_print_str(p, neg ? " - " :  " + ");
1377         if (neg)
1378                 isl_int_neg(cst->n, cst->n);
1379         if (isl_int_is_zero(cst->d)) {
1380                 int sgn = isl_int_sgn(cst->n);
1381                 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1382                                             sgn == 0 ? "NaN" : "infty");
1383         } else
1384                 p = isl_printer_print_isl_int(p, cst->n);
1385         if (neg)
1386                 isl_int_neg(cst->n, cst->n);
1387         if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1388                 p = isl_printer_print_str(p, "/");
1389                 p = isl_printer_print_isl_int(p, cst->d);
1390         }
1391         return p;
1392 error:
1393         isl_printer_free(p);
1394         return NULL;
1395 }
1396
1397 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1398         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var)
1399 {
1400         unsigned total;
1401
1402         total = isl_dim_total(dim);
1403         if (var < total)
1404                 p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 1, 0);
1405         else
1406                 p = print_div(dim, div, var - total, p);
1407         return p;
1408 }
1409
1410 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1411         __isl_keep isl_dim *dim, __isl_keep isl_mat *div, int var, int exp)
1412 {
1413         p = print_base(p, dim, div, var);
1414         if (exp == 1)
1415                 return p;
1416         if (p->output_format == ISL_FORMAT_C) {
1417                 int i;
1418                 for (i = 1; i < exp; ++i) {
1419                         p = isl_printer_print_str(p, "*");
1420                         p = print_base(p, dim, div, var);
1421                 }
1422         } else {
1423                 p = isl_printer_print_str(p, "^");
1424                 p = isl_printer_print_int(p, exp);
1425         }
1426         return p;
1427 }
1428
1429 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1430         __isl_keep isl_dim *dim, __isl_keep isl_mat *div,
1431         __isl_take isl_printer *p, int outer)
1432 {
1433         int i, n, first, print_parens;
1434         struct isl_upoly_rec *rec;
1435
1436         if (!p || !up || !dim || !div)
1437                 goto error;
1438
1439         if (isl_upoly_is_cst(up))
1440                 return upoly_print_cst(up, p, 1);
1441
1442         rec = isl_upoly_as_rec(up);
1443         if (!rec)
1444                 goto error;
1445         n = upoly_rec_n_non_zero(rec);
1446         print_parens = n > 1 || (outer && rec->up.var >= isl_dim_total(dim));
1447         if (print_parens)
1448                 p = isl_printer_print_str(p, "(");
1449         for (i = 0, first = 1; i < rec->n; ++i) {
1450                 if (isl_upoly_is_zero(rec->p[i]))
1451                         continue;
1452                 if (isl_upoly_is_negone(rec->p[i])) {
1453                         if (!i)
1454                                 p = isl_printer_print_str(p, "-1");
1455                         else if (first)
1456                                 p = isl_printer_print_str(p, "-");
1457                         else
1458                                 p = isl_printer_print_str(p, " - ");
1459                 } else if (isl_upoly_is_cst(rec->p[i]) &&
1460                                 !isl_upoly_is_one(rec->p[i]))
1461                         p = upoly_print_cst(rec->p[i], p, first);
1462                 else {
1463                         if (!first)
1464                                 p = isl_printer_print_str(p, " + ");
1465                         if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1466                                 p = upoly_print(rec->p[i], dim, div, p, 0);
1467                 }
1468                 first = 0;
1469                 if (i == 0)
1470                         continue;
1471                 if (!isl_upoly_is_one(rec->p[i]) &&
1472                     !isl_upoly_is_negone(rec->p[i]))
1473                         p = isl_printer_print_str(p, " * ");
1474                 p = print_pow(p, dim, div, rec->up.var, i);
1475         }
1476         if (print_parens)
1477                 p = isl_printer_print_str(p, ")");
1478         return p;
1479 error:
1480         isl_printer_free(p);
1481         return NULL;
1482 }
1483
1484 __isl_give isl_printer *isl_printer_print_qpolynomial(__isl_take isl_printer *p,
1485         __isl_keep isl_qpolynomial *qp)
1486 {
1487         if (!p || !qp)
1488                 goto error;
1489         p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
1490         return p;
1491 error:
1492         isl_printer_free(p);
1493         return NULL;
1494 }
1495
1496 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1497         unsigned output_format)
1498 {
1499         isl_printer *p;
1500
1501         if  (!qp)
1502                 return;
1503
1504         isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1505         p = isl_printer_to_file(qp->dim->ctx, out);
1506         p = isl_printer_print_qpolynomial(p, qp);
1507         isl_printer_free(p);
1508 }
1509
1510 static __isl_give isl_printer *qpolynomial_fold_print(
1511         __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1512 {
1513         int i;
1514
1515         if (fold->type == isl_fold_min)
1516                 p = isl_printer_print_str(p, "min");
1517         else if (fold->type == isl_fold_max)
1518                 p = isl_printer_print_str(p, "max");
1519         p = isl_printer_print_str(p, "(");
1520         for (i = 0; i < fold->n; ++i) {
1521                 if (i)
1522                         p = isl_printer_print_str(p, ", ");
1523                 p = isl_printer_print_qpolynomial(p, fold->qp[i]);
1524         }
1525         p = isl_printer_print_str(p, ")");
1526         return p;
1527 }
1528
1529 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1530         FILE *out, unsigned output_format)
1531 {
1532         isl_printer *p;
1533
1534         if (!fold)
1535                 return;
1536
1537         isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1538
1539         p = isl_printer_to_file(fold->dim->ctx, out);
1540         p = isl_printer_print_qpolynomial_fold(p, fold);
1541
1542         isl_printer_free(p);
1543 }
1544
1545 static __isl_give isl_printer *isl_pwqp_print_isl_body(
1546         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1547 {
1548         int i = 0;
1549
1550         for (i = 0; i < pwqp->n; ++i) {
1551                 if (i)
1552                         p = isl_printer_print_str(p, "; ");
1553                 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1554                     isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1555                         p = print_dim(pwqp->p[i].set->dim, p, 1, 0, NULL);
1556                         p = isl_printer_print_str(p, " -> ");
1557                 }
1558                 p = isl_printer_print_qpolynomial(p, pwqp->p[i].qp);
1559                 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 1, 0);
1560         }
1561
1562         return p;
1563 }
1564
1565 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1566         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1567 {
1568         if (!p || !pwqp)
1569                 goto error;
1570
1571         if (isl_dim_size(pwqp->dim, isl_dim_param) > 0) {
1572                 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, 0, NULL);
1573                 p = isl_printer_print_str(p, " -> ");
1574         }
1575         p = isl_printer_print_str(p, "{ ");
1576         if (pwqp->n == 0) {
1577                 if (isl_dim_size(pwqp->dim, isl_dim_set) > 0 ||
1578                     isl_dim_is_named_or_nested(pwqp->dim, isl_dim_set)) {
1579                         p = print_dim(pwqp->dim, p, 1, 0, NULL);
1580                         p = isl_printer_print_str(p, " -> ");
1581                 }
1582                 p = isl_printer_print_str(p, "0");
1583         }
1584         p = isl_pwqp_print_isl_body(p, pwqp);
1585         p = isl_printer_print_str(p, " }");
1586         return p;
1587 error:
1588         isl_printer_free(p);
1589         return NULL;
1590 }
1591
1592 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1593         unsigned output_format)
1594 {
1595         isl_printer *p;
1596
1597         if (!pwqp)
1598                 return;
1599
1600         p = isl_printer_to_file(pwqp->dim->ctx, out);
1601         p = isl_printer_set_output_format(p, output_format);
1602         p = isl_printer_print_pw_qpolynomial(p, pwqp);
1603
1604         isl_printer_free(p);
1605 }
1606
1607 static __isl_give isl_printer *isl_pwf_print_isl_body(
1608         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1609 {
1610         int i = 0;
1611
1612         for (i = 0; i < pwf->n; ++i) {
1613                 if (i)
1614                         p = isl_printer_print_str(p, "; ");
1615                 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1616                     isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1617                         p = print_dim(pwf->p[i].set->dim, p, 1, 0, NULL);
1618                         p = isl_printer_print_str(p, " -> ");
1619                 }
1620                 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1621                 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 1, 0);
1622         }
1623
1624         return p;
1625 }
1626
1627 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1628         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1629 {
1630         if (isl_dim_size(pwf->dim, isl_dim_param) > 0) {
1631                 p = print_tuple(pwf->dim, p, isl_dim_param, 0, 0, NULL);
1632                 p = isl_printer_print_str(p, " -> ");
1633         }
1634         p = isl_printer_print_str(p, "{ ");
1635         if (pwf->n == 0) {
1636                 if (isl_dim_size(pwf->dim, isl_dim_set) > 0 ||
1637                     isl_dim_is_named_or_nested(pwf->dim, isl_dim_set)) {
1638                         p = print_dim(pwf->dim, p, 1, 0, NULL);
1639                         p = isl_printer_print_str(p, " -> ");
1640                 }
1641                 p = isl_printer_print_str(p, "0");
1642         }
1643         p = isl_pwf_print_isl_body(p, pwf);
1644         p = isl_printer_print_str(p, " }");
1645         return p;
1646 }
1647
1648 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1649         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c);
1650
1651 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1652         __isl_keep isl_dim *dim,
1653         __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1654 {
1655         if (type == isl_dim_div) {
1656                 p = isl_printer_print_str(p, "floord(");
1657                 p = print_affine_c(p, dim, bset, bset->div[pos] + 1);
1658                 p = isl_printer_print_str(p, ", ");
1659                 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1660                 p = isl_printer_print_str(p, ")");
1661         } else {
1662                 const char *name;
1663
1664                 name = isl_dim_get_name(dim, type, pos);
1665                 if (!name)
1666                         name = "UNNAMED";
1667                 p = isl_printer_print_str(p, name);
1668         }
1669         return p;
1670 }
1671
1672 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1673         __isl_keep isl_dim *dim,
1674         __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1675 {
1676         enum isl_dim_type type;
1677         unsigned nparam = isl_basic_set_dim(bset, isl_dim_param);
1678
1679         if (pos == 0)
1680                 return isl_printer_print_isl_int(p, c);
1681
1682         if (isl_int_is_one(c))
1683                 ;
1684         else if (isl_int_is_negone(c))
1685                 p = isl_printer_print_str(p, "-");
1686         else {
1687                 p = isl_printer_print_isl_int(p, c);
1688                 p = isl_printer_print_str(p, "*");
1689         }
1690         type = pos2type(dim, &pos);
1691         p = print_name_c(p, dim, bset, type, pos);
1692         return p;
1693 }
1694
1695 static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
1696         __isl_keep isl_dim *dim,
1697         __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
1698 {
1699         int i;
1700         int first;
1701
1702         for (i = 0, first = 1; i < len; ++i) {
1703                 int flip = 0;
1704                 if (isl_int_is_zero(c[i]))
1705                         continue;
1706                 if (!first) {
1707                         if (isl_int_is_neg(c[i])) {
1708                                 flip = 1;
1709                                 isl_int_neg(c[i], c[i]);
1710                                 p = isl_printer_print_str(p, " - ");
1711                         } else
1712                                 p = isl_printer_print_str(p, " + ");
1713                 }
1714                 first = 0;
1715                 p = print_term_c(p, dim, bset, c[i], i);
1716                 if (flip)
1717                         isl_int_neg(c[i], c[i]);
1718         }
1719         if (first)
1720                 p = isl_printer_print_str(p, "0");
1721         return p;
1722 }
1723
1724 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1725         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset, isl_int *c)
1726 {
1727         unsigned len = 1 + isl_basic_set_total_dim(bset);
1728         return print_partial_affine_c(p, dim, bset, c, len);
1729 }
1730
1731 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1732         __isl_keep isl_dim *dim,
1733         __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1734 {
1735         if (!first)
1736                 p = isl_printer_print_str(p, " && ");
1737
1738         p = print_affine_c(p, dim, bset, c);
1739         p = isl_printer_print_str(p, " ");
1740         p = isl_printer_print_str(p, op);
1741         p = isl_printer_print_str(p, " 0");
1742         return p;
1743 }
1744
1745 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1746         __isl_keep isl_dim *dim, __isl_keep isl_basic_set *bset)
1747 {
1748         int i, j;
1749         unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
1750         unsigned total = isl_basic_set_total_dim(bset) - n_div;
1751
1752         for (i = 0; i < bset->n_eq; ++i) {
1753                 j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
1754                 if (j < 0)
1755                         p = print_constraint_c(p, dim, bset,
1756                                                 bset->eq[i], "==", !i);
1757                 else {
1758                         if (i)
1759                                 p = isl_printer_print_str(p, " && ");
1760                         p = isl_printer_print_str(p, "(");
1761                         p = print_partial_affine_c(p, dim, bset, bset->eq[i],
1762                                                    1 + total + j);
1763                         p = isl_printer_print_str(p, ") % ");
1764                         p = isl_printer_print_isl_int(p,
1765                                                 bset->eq[i][1 + total + j]);
1766                         p = isl_printer_print_str(p, " == 0");
1767                 }
1768         }
1769         for (i = 0; i < bset->n_ineq; ++i)
1770                 p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=",
1771                                         !bset->n_eq && !i);
1772         return p;
1773 }
1774
1775 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1776         __isl_keep isl_dim *dim, __isl_keep isl_set *set)
1777 {
1778         int i;
1779
1780         if (set->n == 0)
1781                 p = isl_printer_print_str(p, "0");
1782
1783         for (i = 0; i < set->n; ++i) {
1784                 if (i)
1785                         p = isl_printer_print_str(p, " || ");
1786                 if (set->n > 1)
1787                         p = isl_printer_print_str(p, "(");
1788                 p = print_basic_set_c(p, dim, set->p[i]);
1789                 if (set->n > 1)
1790                         p = isl_printer_print_str(p, ")");
1791         }
1792         return p;
1793 }
1794
1795 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1796         __isl_keep isl_dim *dim, __isl_keep isl_qpolynomial *qp)
1797 {
1798         isl_int den;
1799
1800         isl_int_init(den);
1801         isl_qpolynomial_get_den(qp, &den);
1802         if (!isl_int_is_one(den)) {
1803                 isl_qpolynomial *f;
1804                 p = isl_printer_print_str(p, "(");
1805                 qp = isl_qpolynomial_copy(qp);
1806                 f = isl_qpolynomial_rat_cst(isl_dim_copy(qp->dim),
1807                                                 den, qp->dim->ctx->one);
1808                 qp = isl_qpolynomial_mul(qp, f);
1809         }
1810         if (qp)
1811                 p = upoly_print(qp->upoly, dim, qp->div, p, 0);
1812         if (!isl_int_is_one(den)) {
1813                 p = isl_printer_print_str(p, ")/");
1814                 p = isl_printer_print_isl_int(p, den);
1815                 isl_qpolynomial_free(qp);
1816         }
1817         isl_int_clear(den);
1818         return p;
1819 }
1820
1821 static __isl_give isl_printer *print_pw_qpolynomial_c(
1822         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1823 {
1824         int i;
1825
1826         if (pwqp->n == 1 && isl_set_fast_is_universe(pwqp->p[0].set))
1827                 return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp);
1828
1829         for (i = 0; i < pwqp->n; ++i) {
1830                 p = isl_printer_print_str(p, "(");
1831                 p = print_set_c(p, pwqp->dim, pwqp->p[i].set);
1832                 p = isl_printer_print_str(p, ") ? (");
1833                 p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp);
1834                 p = isl_printer_print_str(p, ") : ");
1835         }
1836
1837         p = isl_printer_print_str(p, "0");
1838         return p;
1839 }
1840
1841 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1842         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1843 {
1844         if (!p || !pwqp)
1845                 goto error;
1846
1847         if (p->output_format == ISL_FORMAT_ISL)
1848                 return print_pw_qpolynomial_isl(p, pwqp);
1849         else if (p->output_format == ISL_FORMAT_C)
1850                 return print_pw_qpolynomial_c(p, pwqp);
1851         isl_assert(p->ctx, 0, goto error);
1852 error:
1853         isl_printer_free(p);
1854         return NULL;
1855 }
1856
1857 static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1858 {
1859         struct isl_union_print_data *data;
1860         data = (struct isl_union_print_data *)user;
1861
1862         if (!data->first)
1863                 data->p = isl_printer_print_str(data->p, "; ");
1864         data->first = 0;
1865
1866         data->p = isl_pwqp_print_isl_body(data->p, pwqp);
1867         isl_pw_qpolynomial_free(pwqp);
1868
1869         return 0;
1870 }
1871
1872 static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
1873         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1874 {
1875         struct isl_union_print_data data = { p, 1, 1 };
1876         isl_dim *dim;
1877         dim = isl_union_pw_qpolynomial_get_dim(upwqp);
1878         if (isl_dim_size(dim, isl_dim_param) > 0) {
1879                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
1880                 p = isl_printer_print_str(p, " -> ");
1881         }
1882         isl_dim_free(dim);
1883         p = isl_printer_print_str(p, "{ ");
1884         isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
1885                                                         &data);
1886         p = data.p;
1887         p = isl_printer_print_str(p, " }");
1888         return p;
1889 }
1890
1891 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
1892         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1893 {
1894         if (!p || !upwqp)
1895                 goto error;
1896
1897         if (p->output_format == ISL_FORMAT_ISL)
1898                 return print_union_pw_qpolynomial_isl(p, upwqp);
1899         isl_die(p->ctx, isl_error_invalid,
1900                 "invalid output format for isl_union_pw_qpolynomial",
1901                 goto error);
1902 error:
1903         isl_printer_free(p);
1904         return NULL;
1905 }
1906
1907 static __isl_give isl_printer *print_qpolynomial_fold_c(
1908         __isl_take isl_printer *p, __isl_keep isl_dim *dim,
1909         __isl_keep isl_qpolynomial_fold *fold)
1910 {
1911         int i;
1912
1913         for (i = 0; i < fold->n - 1; ++i)
1914                 if (fold->type == isl_fold_min)
1915                         p = isl_printer_print_str(p, "min(");
1916                 else if (fold->type == isl_fold_max)
1917                         p = isl_printer_print_str(p, "max(");
1918
1919         for (i = 0; i < fold->n; ++i) {
1920                 if (i)
1921                         p = isl_printer_print_str(p, ", ");
1922                 p = print_qpolynomial_c(p, dim, fold->qp[i]);
1923                 if (i)
1924                         p = isl_printer_print_str(p, ")");
1925         }
1926         return p;
1927 }
1928
1929 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1930         __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1931 {
1932         if  (!p || !fold)
1933                 goto error;
1934         if (p->output_format == ISL_FORMAT_ISL)
1935                 return qpolynomial_fold_print(fold, p);
1936         else if (p->output_format == ISL_FORMAT_C)
1937                 return print_qpolynomial_fold_c(p, fold->dim, fold);
1938         isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
1939                 goto error);
1940 error:
1941         isl_printer_free(p);
1942         return NULL;
1943 }
1944
1945 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1946         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1947 {
1948         int i;
1949
1950         if (pwf->n == 1 && isl_set_fast_is_universe(pwf->p[0].set))
1951                 return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold);
1952
1953         for (i = 0; i < pwf->n; ++i) {
1954                 p = isl_printer_print_str(p, "(");
1955                 p = print_set_c(p, pwf->dim, pwf->p[i].set);
1956                 p = isl_printer_print_str(p, ") ? (");
1957                 p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold);
1958                 p = isl_printer_print_str(p, ") : ");
1959         }
1960
1961         p = isl_printer_print_str(p, "0");
1962         return p;
1963 }
1964
1965 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1966         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1967 {
1968         if (!p || !pwf)
1969                 goto error;
1970
1971         if (p->output_format == ISL_FORMAT_ISL)
1972                 return print_pw_qpolynomial_fold_isl(p, pwf);
1973         else if (p->output_format == ISL_FORMAT_C)
1974                 return print_pw_qpolynomial_fold_c(p, pwf);
1975         isl_assert(p->ctx, 0, goto error);
1976 error:
1977         isl_printer_free(p);
1978         return NULL;
1979 }
1980
1981 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1982         FILE *out, unsigned output_format)
1983 {
1984         isl_printer *p;
1985
1986         if (!pwf)
1987                 return;
1988
1989         p = isl_printer_to_file(pwf->dim->ctx, out);
1990         p = isl_printer_set_output_format(p, output_format);
1991         p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1992
1993         isl_printer_free(p);
1994 }
1995
1996 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1997 {
1998         struct isl_union_print_data *data;
1999         data = (struct isl_union_print_data *)user;
2000
2001         if (!data->first)
2002                 data->p = isl_printer_print_str(data->p, "; ");
2003         data->first = 0;
2004
2005         data->p = isl_pwf_print_isl_body(data->p, pwf);
2006         isl_pw_qpolynomial_fold_free(pwf);
2007
2008         return 0;
2009 }
2010
2011 static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
2012         __isl_take isl_printer *p,
2013         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
2014 {
2015         struct isl_union_print_data data = { p, 1, 1 };
2016         isl_dim *dim;
2017         dim = isl_union_pw_qpolynomial_fold_get_dim(upwf);
2018         if (isl_dim_size(dim, isl_dim_param) > 0) {
2019                 p = print_tuple(dim, p, isl_dim_param, 1, 0, NULL);
2020                 p = isl_printer_print_str(p, " -> ");
2021         }
2022         isl_dim_free(dim);
2023         p = isl_printer_print_str(p, "{ ");
2024         isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
2025                                                         &print_pwf_body, &data);
2026         p = data.p;
2027         p = isl_printer_print_str(p, " }");
2028         return p;
2029 }
2030
2031 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
2032         __isl_take isl_printer *p,
2033         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
2034 {
2035         if (!p || !upwf)
2036                 goto error;
2037
2038         if (p->output_format == ISL_FORMAT_ISL)
2039                 return print_union_pw_qpolynomial_fold_isl(p, upwf);
2040         isl_die(p->ctx, isl_error_invalid,
2041                 "invalid output format for isl_union_pw_qpolynomial_fold",
2042                 goto error);
2043 error:
2044         isl_printer_free(p);
2045         return NULL;
2046 }