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_ctx_private.h>
  16 #include <isl_map_private.h>
  17 #include <isl/set.h>
  18 #include <isl/seq.h>
  19 #include <isl_polynomial_private.h>
  20 #include <isl_printer_private.h>
  21 #include <isl_space_private.h>
  22 #include <isl_mat_private.h>
  23 #include <isl/union_map.h>
  24 #include <isl/constraint.h>
  25 #include <isl_local_space_private.h>
  26 #include <isl_aff_private.h>
  27
  28 static const char *s_to[2] = { " -> ", " \\to " };
  29 static const char *s_and[2] = { " and ", " \\wedge " };
  30 static const char *s_or[2] = { " or ", " \\vee " };
  31 static const char *s_le[2] = { "<=", "\\le" };
  32 static const char *s_ge[2] = { ">=", "\\ge" };
  33 static const char *s_open_set[2] = { "{ ", "\\{\\, " };
  34 static const char *s_close_set[2] = { " }", " \\,\\}" };
  35 static const char *s_open_list[2] = { "[", "(" };
  36 static const char *s_close_list[2] = { "]", ")" };
  37 static const char *s_such_that[2] = { " : ", " \\mid " };
  38 static const char *s_open_exists[2] = { "exists (", "\\exists \\, " };
  39 static const char *s_close_exists[2] = { ")", "" };
  40 static const char *s_div_prefix[2] = { "e", "\\alpha_" };
  41 static const char *s_param_prefix[2] = { "p", "p_" };
  42 static const char *s_input_prefix[2] = { "i", "i_" };
  43 static const char *s_output_prefix[2] = { "o", "o_" };
  44
  45 static __isl_give isl_printer *print_constraint_polylib(
  46         struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p)
  47 {
  48         int i;
  49         unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in);
  50         unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out);
  51         unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param);
  52         isl_int *c = ineq ? bmap->ineq[n] : bmap->eq[n];
  53
  54         p = isl_printer_start_line(p);
  55         p = isl_printer_print_int(p, ineq);
  56         for (i = 0; i < n_out; ++i) {
  57                 p = isl_printer_print_str(p, " ");
  58                 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+i]);
  59         }
  60         for (i = 0; i < n_in; ++i) {
  61                 p = isl_printer_print_str(p, " ");
  62                 p = isl_printer_print_isl_int(p, c[1+nparam+i]);
  63         }
  64         for (i = 0; i < bmap->n_div; ++i) {
  65                 p = isl_printer_print_str(p, " ");
  66                 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+n_out+i]);
  67         }
  68         for (i = 0; i < nparam; ++i) {
  69                 p = isl_printer_print_str(p, " ");
  70                 p = isl_printer_print_isl_int(p, c[1+i]);
  71         }
  72         p = isl_printer_print_str(p, " ");
  73         p = isl_printer_print_isl_int(p, c[0]);
  74         p = isl_printer_end_line(p);
  75         return p;
  76 }
  77
  78 static __isl_give isl_printer *print_constraints_polylib(
  79         struct isl_basic_map *bmap, __isl_take isl_printer *p)
  80 {
  81         int i;
  82
  83         p = isl_printer_set_isl_int_width(p, 5);
  84
  85         for (i = 0; i < bmap->n_eq; ++i)
  86                 p = print_constraint_polylib(bmap, 0, i, p);
  87         for (i = 0; i < bmap->n_ineq; ++i)
  88                 p = print_constraint_polylib(bmap, 1, i, p);
  89
  90         return p;
  91 }
  92
  93 static __isl_give isl_printer *bset_print_constraints_polylib(
  94         struct isl_basic_set *bset, __isl_take isl_printer *p)
  95 {
  96         return print_constraints_polylib((struct isl_basic_map *)bset, p);
  97 }
  98
  99 static __isl_give isl_printer *isl_basic_map_print_polylib(
 100         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int ext)
 101 {
 102         unsigned total = isl_basic_map_total_dim(bmap);
 103         p = isl_printer_start_line(p);
 104         p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq);
 105         p = isl_printer_print_str(p, " ");
 106         p = isl_printer_print_int(p, 1 + total + 1);
 107         if (ext) {
 108                 p = isl_printer_print_str(p, " ");
 109                 p = isl_printer_print_int(p,
 110                                     isl_basic_map_dim(bmap, isl_dim_out));
 111                 p = isl_printer_print_str(p, " ");
 112                 p = isl_printer_print_int(p,
 113                                     isl_basic_map_dim(bmap, isl_dim_in));
 114                 p = isl_printer_print_str(p, " ");
 115                 p = isl_printer_print_int(p,
 116                                     isl_basic_map_dim(bmap, isl_dim_div));
 117                 p = isl_printer_print_str(p, " ");
 118                 p = isl_printer_print_int(p,
 119                                     isl_basic_map_dim(bmap, isl_dim_param));
 120         }
 121         p = isl_printer_end_line(p);
 122         return print_constraints_polylib(bmap, p);
 123 }
 124
 125 static __isl_give isl_printer *isl_basic_set_print_polylib(
 126         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int ext)
 127 {
 128         return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p, ext);
 129 }
 130
 131 static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map,
 132         __isl_take isl_printer *p, int ext)
 133 {
 134         int i;
 135
 136         p = isl_printer_start_line(p);
 137         p = isl_printer_print_int(p, map->n);
 138         p = isl_printer_end_line(p);
 139         for (i = 0; i < map->n; ++i) {
 140                 p = isl_printer_start_line(p);
 141                 p = isl_printer_end_line(p);
 142                 p = isl_basic_map_print_polylib(map->p[i], p, ext);
 143         }
 144         return p;
 145 }
 146
 147 static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set,
 148         __isl_take isl_printer *p, int ext)
 149 {
 150         return isl_map_print_polylib((struct isl_map *)set, p, ext);
 151 }
 152
 153 static int count_same_name(__isl_keep isl_space *dim,
 154         enum isl_dim_type type, unsigned pos, const char *name)
 155 {
 156         enum isl_dim_type t;
 157         unsigned p, s;
 158         int count = 0;
 159
 160         for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) {
 161                 s = t == type ? pos : isl_space_dim(dim, t);
 162                 for (p = 0; p < s; ++p) {
 163                         const char *n = isl_space_get_dim_name(dim, t, p);
 164                         if (n && !strcmp(n, name))
 165                                 count++;
 166                 }
 167         }
 168         return count;
 169 }
 170
 171 static __isl_give isl_printer *print_name(__isl_keep isl_space *dim,
 172         __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos,
 173         int latex)
 174 {
 175         const char *name;
 176         char buffer[20];
 177         int primes;
 178
 179         name = type == isl_dim_div ? NULL : isl_space_get_dim_name(dim, type, pos);
 180
 181         if (!name) {
 182                 const char *prefix;
 183                 if (type == isl_dim_param)
 184                         prefix = s_param_prefix[latex];
 185                 else if (type == isl_dim_div)
 186                         prefix = s_div_prefix[latex];
 187                 else if (isl_space_is_set(dim) || type == isl_dim_in)
 188                         prefix = s_input_prefix[latex];
 189                 else
 190                         prefix = s_output_prefix[latex];
 191                 snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos);
 192                 name = buffer;
 193         }
 194         primes = count_same_name(dim, name == buffer ? isl_dim_div : type,
 195                                  pos, name);
 196         p = isl_printer_print_str(p, name);
 197         while (primes-- > 0)
 198                 p = isl_printer_print_str(p, "'");
 199         return p;
 200 }
 201
 202 static enum isl_dim_type pos2type(__isl_keep isl_space *dim, unsigned *pos)
 203 {
 204         enum isl_dim_type type;
 205         unsigned n_in = isl_space_dim(dim, isl_dim_in);
 206         unsigned n_out = isl_space_dim(dim, isl_dim_out);
 207         unsigned nparam = isl_space_dim(dim, isl_dim_param);
 208
 209         if (*pos < 1 + nparam) {
 210                 type = isl_dim_param;
 211                 *pos -= 1;
 212         } else if (*pos < 1 + nparam + n_in) {
 213                 type = isl_dim_in;
 214                 *pos -= 1 + nparam;
 215         } else if (*pos < 1 + nparam + n_in + n_out) {
 216                 type = isl_dim_out;
 217                 *pos -= 1 + nparam + n_in;
 218         } else {
 219                 type = isl_dim_div;
 220                 *pos -= 1 + nparam + n_in + n_out;
 221         }
 222
 223         return type;
 224 }
 225
 226 static __isl_give isl_printer *print_div(__isl_keep isl_space *dim,
 227         __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p);
 228
 229 static __isl_give isl_printer *print_term(__isl_keep isl_space *dim,
 230         __isl_keep isl_mat *div,
 231         isl_int c, unsigned pos, __isl_take isl_printer *p, int latex)
 232 {
 233         enum isl_dim_type type;
 234         int print_div_def;
 235
 236         if (pos == 0)
 237                 return isl_printer_print_isl_int(p, c);
 238
 239         type = pos2type(dim, &pos);
 240         print_div_def = type == isl_dim_div && div &&
 241                         !isl_int_is_zero(div->row[pos][0]);
 242
 243         if (isl_int_is_one(c))
 244                 ;
 245         else if (isl_int_is_negone(c))
 246                 p = isl_printer_print_str(p, "-");
 247         else {
 248                 p = isl_printer_print_isl_int(p, c);
 249                 if (p->output_format == ISL_FORMAT_C || print_div_def)
 250                         p = isl_printer_print_str(p, "*");
 251         }
 252         if (print_div_def)
 253                 p = print_div(dim, div, pos, p);
 254         else
 255                 p = print_name(dim, p, type, pos, latex);
 256         return p;
 257 }
 258
 259 static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_space *dim,
 260         __isl_keep isl_mat *div,
 261         __isl_take isl_printer *p, isl_int *c, int len)
 262 {
 263         int i;
 264         int first;
 265
 266         for (i = 0, first = 1; i < len; ++i) {
 267                 int flip = 0;
 268                 if (isl_int_is_zero(c[i]))
 269                         continue;
 270                 if (!first) {
 271                         if (isl_int_is_neg(c[i])) {
 272                                 flip = 1;
 273                                 isl_int_neg(c[i], c[i]);
 274                                 p = isl_printer_print_str(p, " - ");
 275                         } else
 276                                 p = isl_printer_print_str(p, " + ");
 277                 }
 278                 first = 0;
 279                 p = print_term(dim, div, c[i], i, p, 0);
 280                 if (flip)
 281                         isl_int_neg(c[i], c[i]);
 282         }
 283         if (first)
 284                 p = isl_printer_print_str(p, "0");
 285         return p;
 286 }
 287
 288 static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap,
 289         __isl_keep isl_space *dim, __isl_take isl_printer *p, isl_int *c)
 290 {
 291         unsigned len = 1 + isl_basic_map_total_dim(bmap);
 292         return print_affine_of_len(dim, NULL, p, c, len);
 293 }
 294
 295 static int defining_equality(__isl_keep isl_basic_map *eq,
 296         __isl_keep isl_space *dim, enum isl_dim_type type, int pos)
 297 {
 298         int i;
 299         unsigned total;
 300
 301         if (!eq)
 302                 return -1;
 303
 304         pos += isl_space_offset(dim, type);
 305         total = isl_basic_map_total_dim(eq);
 306
 307         for (i = 0; i < eq->n_eq; ++i) {
 308                 if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos)
 309                         continue;
 310                 if (isl_int_is_one(eq->eq[i][1 + pos]))
 311                         isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total);
 312                 return i;
 313         }
 314
 315         return -1;
 316 }
 317
 318 static __isl_give isl_printer *print_aff_body(__isl_take isl_printer *p,
 319         __isl_keep isl_aff *aff);
 320
 321 /* offset is the offset of local_dim inside global_type of global_dim.
 322  */
 323 static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p,
 324         __isl_keep isl_space *global_dim, enum isl_dim_type global_type,
 325         __isl_keep isl_space *local_dim, enum isl_dim_type local_type,
 326         int latex, __isl_keep isl_basic_map *eq,
 327         __isl_keep isl_multi_aff *maff, int offset)
 328 {
 329         int i, j;
 330
 331         if (global_dim != local_dim && local_type == isl_dim_out)
 332                 offset += local_dim->n_in;
 333
 334         for (i = 0; i < isl_space_dim(local_dim, local_type); ++i) {
 335                 if (i)
 336                         p = isl_printer_print_str(p, ", ");
 337                 if (maff && global_type == isl_dim_out) {
 338                         p = print_aff_body(p, maff->p[offset + i]);
 339                         continue;
 340                 }
 341                 j = defining_equality(eq, global_dim, global_type, offset + i);
 342                 if (j >= 0) {
 343                         int pos = 1 + isl_space_offset(global_dim, global_type)
 344                                     + offset + i;
 345                         p = print_affine_of_len(eq->dim, NULL,
 346                                                 p, eq->eq[j], pos);
 347                 } else {
 348                         p = print_name(global_dim, p, global_type, offset + i,
 349                                         latex);
 350                 }
 351         }
 352         return p;
 353 }
 354
 355 static __isl_give isl_printer *print_var_list(__isl_keep isl_space *dim,
 356         __isl_take isl_printer *p, enum isl_dim_type type,
 357         int latex, __isl_keep isl_basic_map *eq, __isl_keep isl_multi_aff *maff)
 358 {
 359         return print_nested_var_list(p, dim, type, dim, type, latex,
 360                                         eq, maff, 0);
 361 }
 362
 363 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
 364         __isl_keep isl_space *global_dim, enum isl_dim_type global_type,
 365         __isl_keep isl_space *local_dim,
 366         int latex, __isl_keep isl_basic_map *eq,
 367         __isl_keep isl_multi_aff *maff, int offset);
 368
 369 static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p,
 370         __isl_keep isl_space *global_dim, enum isl_dim_type global_type,
 371         __isl_keep isl_space *local_dim, enum isl_dim_type local_type,
 372         int latex, __isl_keep isl_basic_map *eq,
 373         __isl_keep isl_multi_aff *maff, int offset)
 374 {
 375         const char *name = NULL;
 376         unsigned n = isl_space_dim(local_dim, local_type);
 377         if ((local_type == isl_dim_in || local_type == isl_dim_out)) {
 378                 name = isl_space_get_tuple_name(local_dim, local_type);
 379                 if (name) {
 380                         if (latex)
 381                                 p = isl_printer_print_str(p, "\\mathrm{");
 382                         p = isl_printer_print_str(p, name);
 383                         if (latex)
 384                                 p = isl_printer_print_str(p, "}");
 385                 }
 386         }
 387         if (!latex || n != 1 || name)
 388                 p = isl_printer_print_str(p, s_open_list[latex]);
 389         if ((local_type == isl_dim_in || local_type == isl_dim_out) &&
 390             local_dim->nested[local_type - isl_dim_in]) {
 391                 if (global_dim != local_dim && local_type == isl_dim_out)
 392                         offset += local_dim->n_in;
 393                 p = print_nested_map_dim(p, global_dim, global_type,
 394                                 local_dim->nested[local_type - isl_dim_in],
 395                                 latex, eq, maff, offset);
 396         } else
 397                 p = print_nested_var_list(p, global_dim, global_type,
 398                                           local_dim, local_type, latex,
 399                                           eq, maff, offset);
 400         if (!latex || n != 1 || name)
 401                 p = isl_printer_print_str(p, s_close_list[latex]);
 402         return p;
 403 }
 404
 405 static __isl_give isl_printer *print_tuple(__isl_keep isl_space *dim,
 406         __isl_take isl_printer *p, enum isl_dim_type type,
 407         int latex, __isl_keep isl_basic_map *eq, __isl_keep isl_multi_aff *maff)
 408 {
 409         return print_nested_tuple(p, dim, type, dim, type, latex, eq, maff, 0);
 410 }
 411
 412 static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p,
 413         __isl_keep isl_space *global_dim, enum isl_dim_type global_type,
 414         __isl_keep isl_space *local_dim,
 415         int latex, __isl_keep isl_basic_map *eq,
 416         __isl_keep isl_multi_aff *maff, int offset)
 417 {
 418         p = print_nested_tuple(p, global_dim, global_type,
 419                         local_dim, isl_dim_in, latex, eq, maff, offset);
 420         p = isl_printer_print_str(p, s_to[latex]);
 421         p = print_nested_tuple(p, global_dim, global_type,
 422                         local_dim, isl_dim_out, latex, eq, maff, offset);
 423
 424         return p;
 425 }
 426
 427 static __isl_give isl_printer *print_space(__isl_keep isl_space *dim,
 428         __isl_take isl_printer *p, int latex, int rational,
 429         __isl_keep isl_basic_map *eq, __isl_keep isl_multi_aff *maff)
 430 {
 431         if (rational && !latex)
 432                 p = isl_printer_print_str(p, "rat: ");
 433         if (isl_space_is_params(dim))
 434                 ;
 435         else if (isl_space_is_set(dim))
 436                 p = print_tuple(dim, p, isl_dim_set, latex, eq, maff);
 437         else {
 438                 p = print_tuple(dim, p, isl_dim_in, latex, eq, maff);
 439                 p = isl_printer_print_str(p, s_to[latex]);
 440                 p = print_tuple(dim, p, isl_dim_out, latex, eq, maff);
 441         }
 442
 443         return p;
 444 }
 445
 446 static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_space *dim,
 447         __isl_take isl_printer *p)
 448 {
 449         if (isl_space_dim(dim, isl_dim_param) == 0)
 450                 return p;
 451
 452         p = isl_printer_start_line(p);
 453         p = isl_printer_print_str(p, "symbolic ");
 454         p = print_var_list(dim, p, isl_dim_param, 0, NULL, NULL);
 455         p = isl_printer_print_str(p, ";");
 456         p = isl_printer_end_line(p);
 457         return p;
 458 }
 459
 460 static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap,
 461         __isl_keep isl_space *dim, __isl_take isl_printer *p,
 462         isl_int *c, int last, const char *op, int first_constraint, int latex)
 463 {
 464         if (!first_constraint)
 465                 p = isl_printer_print_str(p, s_and[latex]);
 466
 467         isl_int_abs(c[last], c[last]);
 468
 469         p = print_term(dim, NULL, c[last], last, p, latex);
 470
 471         p = isl_printer_print_str(p, " ");
 472         p = isl_printer_print_str(p, op);
 473         p = isl_printer_print_str(p, " ");
 474
 475         isl_int_set_si(c[last], 0);
 476         p = print_affine(bmap, dim, p, c);
 477
 478         return p;
 479 }
 480
 481 static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap,
 482         __isl_keep isl_space *dim, __isl_take isl_printer *p, int latex)
 483 {
 484         int i;
 485         struct isl_vec *c;
 486         unsigned total = isl_basic_map_total_dim(bmap);
 487
 488         c = isl_vec_alloc(bmap->ctx, 1 + total);
 489         if (!c)
 490                 goto error;
 491
 492         for (i = bmap->n_eq - 1; i >= 0; --i) {
 493                 int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total);
 494                 if (l < 0) {
 495                         if (i != bmap->n_eq - 1)
 496                                 p = isl_printer_print_str(p, s_and[latex]);
 497                         p = isl_printer_print_str(p, "0 = 0");
 498                         continue;
 499                 }
 500                 if (isl_int_is_neg(bmap->eq[i][l]))
 501                         isl_seq_cpy(c->el, bmap->eq[i], 1 + total);
 502                 else
 503                         isl_seq_neg(c->el, bmap->eq[i], 1 + total);
 504                 p = print_constraint(bmap, dim, p, c->el, l,
 505                                     "=", i == bmap->n_eq - 1, latex);
 506         }
 507         for (i = 0; i < bmap->n_ineq; ++i) {
 508                 int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total);
 509                 int s;
 510                 const char *op;
 511                 if (l < 0)
 512                         continue;
 513                 s = isl_int_sgn(bmap->ineq[i][l]);
 514                 if (s < 0)
 515                         isl_seq_cpy(c->el, bmap->ineq[i], 1 + total);
 516                 else
 517                         isl_seq_neg(c->el, bmap->ineq[i], 1 + total);
 518                 op = s < 0 ? s_le[latex] : s_ge[latex];
 519                 p = print_constraint(bmap, dim, p, c->el, l,
 520                                         op, !bmap->n_eq && !i, latex);
 521         }
 522
 523         isl_vec_free(c);
 524
 525         return p;
 526 error:
 527         isl_vec_free(c);
 528         isl_printer_free(p);
 529         return NULL;
 530 }
 531
 532 static __isl_give isl_printer *print_omega_constraints(
 533         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
 534 {
 535         if (bmap->n_eq + bmap->n_ineq == 0)
 536                 return p;
 537
 538         p = isl_printer_print_str(p, ": ");
 539         if (bmap->n_div > 0) {
 540                 int i;
 541                 p = isl_printer_print_str(p, "exists (");
 542                 for (i = 0; i < bmap->n_div; ++i) {
 543                         if (i)
 544                                 p = isl_printer_print_str(p, ", ");
 545                         p = print_name(bmap->dim, p, isl_dim_div, i, 0);
 546                 }
 547                 p = isl_printer_print_str(p, ": ");
 548         }
 549         p = print_constraints(bmap, bmap->dim, p, 0);
 550         if (bmap->n_div > 0)
 551                 p = isl_printer_print_str(p, ")");
 552         return p;
 553 }
 554
 555 static __isl_give isl_printer *basic_map_print_omega(
 556         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
 557 {
 558         p = isl_printer_print_str(p, "{ [");
 559         p = print_var_list(bmap->dim, p, isl_dim_in, 0, NULL, NULL);
 560         p = isl_printer_print_str(p, "] -> [");
 561         p = print_var_list(bmap->dim, p, isl_dim_out, 0, NULL, NULL);
 562         p = isl_printer_print_str(p, "] ");
 563         p = print_omega_constraints(bmap, p);
 564         p = isl_printer_print_str(p, " }");
 565         return p;
 566 }
 567
 568 static __isl_give isl_printer *isl_basic_map_print_omega(
 569         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p)
 570 {
 571         p = print_omega_parameters(bmap->dim, p);
 572
 573         p = isl_printer_start_line(p);
 574         p = basic_map_print_omega(bmap, p);
 575         p = isl_printer_end_line(p);
 576         return p;
 577 }
 578
 579 static __isl_give isl_printer *basic_set_print_omega(
 580         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
 581 {
 582         p = isl_printer_print_str(p, "{ [");
 583         p = print_var_list(bset->dim, p, isl_dim_set, 0, NULL, NULL);
 584         p = isl_printer_print_str(p, "] ");
 585         p = print_omega_constraints((isl_basic_map *)bset, p);
 586         p = isl_printer_print_str(p, " }");
 587         return p;
 588 }
 589
 590 static __isl_give isl_printer *isl_basic_set_print_omega(
 591         __isl_keep isl_basic_set *bset, __isl_take isl_printer *p)
 592 {
 593         p = print_omega_parameters(bset->dim, p);
 594
 595         p = isl_printer_start_line(p);
 596         p = basic_set_print_omega(bset, p);
 597         p = isl_printer_end_line(p);
 598         return p;
 599 }
 600
 601 static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map,
 602         __isl_take isl_printer *p)
 603 {
 604         int i;
 605
 606         p = print_omega_parameters(map->dim, p);
 607
 608         p = isl_printer_start_line(p);
 609         for (i = 0; i < map->n; ++i) {
 610                 if (i)
 611                         p = isl_printer_print_str(p, " union ");
 612                 p = basic_map_print_omega(map->p[i], p);
 613         }
 614         p = isl_printer_end_line(p);
 615         return p;
 616 }
 617
 618 static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set,
 619         __isl_take isl_printer *p)
 620 {
 621         int i;
 622
 623         p = print_omega_parameters(set->dim, p);
 624
 625         p = isl_printer_start_line(p);
 626         for (i = 0; i < set->n; ++i) {
 627                 if (i)
 628                         p = isl_printer_print_str(p, " union ");
 629                 p = basic_set_print_omega(set->p[i], p);
 630         }
 631         p = isl_printer_end_line(p);
 632         return p;
 633 }
 634
 635 static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap,
 636         __isl_keep isl_space *dim, __isl_take isl_printer *p, int latex)
 637 {
 638         if (bmap->n_div > 0) {
 639                 int i;
 640                 p = isl_printer_print_str(p, s_open_exists[latex]);
 641                 for (i = 0; i < bmap->n_div; ++i) {
 642                         if (i)
 643                                 p = isl_printer_print_str(p, ", ");
 644                         p = print_name(dim, p, isl_dim_div, i, latex);
 645                         if (latex || isl_int_is_zero(bmap->div[i][0]))
 646                                 continue;
 647                         p = isl_printer_print_str(p, " = [(");
 648                         p = print_affine(bmap, dim, p, bmap->div[i] + 1);
 649                         p = isl_printer_print_str(p, ")/");
 650                         p = isl_printer_print_isl_int(p, bmap->div[i][0]);
 651                         p = isl_printer_print_str(p, "]");
 652                 }
 653                 p = isl_printer_print_str(p, ": ");
 654         }
 655
 656         p = print_constraints(bmap, dim, p, latex);
 657
 658         if (bmap->n_div > 0)
 659                 p = isl_printer_print_str(p, s_close_exists[latex]);
 660         return p;
 661 }
 662
 663 static __isl_give isl_printer *isl_basic_map_print_isl(
 664         __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p,
 665         int latex)
 666 {
 667         int rational = ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL);
 668         if (isl_basic_map_dim(bmap, isl_dim_param) > 0) {
 669                 p = print_tuple(bmap->dim, p, isl_dim_param, latex, NULL, NULL);
 670                 p = isl_printer_print_str(p, " -> ");
 671         }
 672         p = isl_printer_print_str(p, "{ ");
 673         p = print_space(bmap->dim, p, latex, rational, NULL, NULL);
 674         p = isl_printer_print_str(p, " : ");
 675         p = print_disjunct(bmap, bmap->dim, p, latex);
 676         p = isl_printer_print_str(p, " }");
 677         return p;
 678 }
 679
 680 static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map,
 681         __isl_take isl_printer *p, int latex)
 682 {
 683         int i;
 684
 685         if (isl_map_plain_is_universe(map))
 686                 return p;
 687
 688         p = isl_printer_print_str(p, s_such_that[latex]);
 689         if (map->n == 0)
 690                 p = isl_printer_print_str(p, "1 = 0");
 691         for (i = 0; i < map->n; ++i) {
 692                 if (i)
 693                         p = isl_printer_print_str(p, s_or[latex]);
 694                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 695                         p = isl_printer_print_str(p, "(");
 696                 p = print_disjunct(map->p[i], map->dim, p, latex);
 697                 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1)
 698                         p = isl_printer_print_str(p, ")");
 699         }
 700         return p;
 701 }
 702
 703 /* Print the disjuncts of a map (or set).
 704  * If the map turns out to be a universal parameter domain, then
 705  * we need to print the colon.  Otherwise, the output looks identical
 706  * to the empty set.
 707  */
 708 static __isl_give isl_printer *print_disjuncts_map(__isl_keep isl_map *map,
 709         __isl_take isl_printer *p, int latex)
 710 {
 711         if (isl_map_plain_is_universe(map) && isl_space_is_params(map->dim))
 712                 return isl_printer_print_str(p, s_such_that[latex]);
 713         else
 714                 return print_disjuncts(map, p, latex);
 715 }
 716
 717 struct isl_aff_split {
 718         isl_basic_map *aff;
 719         isl_map *map;
 720 };
 721
 722 static void free_split(__isl_take struct isl_aff_split *split, int n)
 723 {
 724         int i;
 725
 726         if (!split)
 727                 return;
 728
 729         for (i = 0; i < n; ++i) {
 730                 isl_basic_map_free(split[i].aff);
 731                 isl_map_free(split[i].map);
 732         }
 733
 734         free(split);
 735 }
 736
 737 static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap)
 738 {
 739         int i, j;
 740         unsigned nparam, n_in, n_out, total;
 741
 742         bmap = isl_basic_map_cow(bmap);
 743         if (!bmap)
 744                 return NULL;
 745         if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0)
 746                 goto error;
 747
 748         nparam = isl_basic_map_dim(bmap, isl_dim_param);
 749         n_in = isl_basic_map_dim(bmap, isl_dim_in);
 750         n_out = isl_basic_map_dim(bmap, isl_dim_out);
 751         total = isl_basic_map_dim(bmap, isl_dim_all);
 752         for (i = bmap->n_eq - 1; i >= 0; --i) {
 753                 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total);
 754                 if (j >= nparam && j < nparam + n_in + n_out &&
 755                     (isl_int_is_one(bmap->eq[i][1 + j]) ||
 756                      isl_int_is_negone(bmap->eq[i][1 + j])))
 757                         continue;
 758                 if (isl_basic_map_drop_equality(bmap, i) < 0)
 759                         goto error;
 760         }
 761
 762         bmap = isl_basic_map_finalize(bmap);
 763
 764         return bmap;
 765 error:
 766         isl_basic_map_free(bmap);
 767         return NULL;
 768 }
 769
 770 static int aff_split_cmp(const void *p1, const void *p2)
 771 {
 772         const struct isl_aff_split *s1, *s2;
 773         s1 = (const struct isl_aff_split *) p1;
 774         s2 = (const struct isl_aff_split *) p2;
 775
 776         return isl_basic_map_plain_cmp(s1->aff, s2->aff);
 777 }
 778
 779 static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap,
 780         __isl_keep isl_basic_map *aff)
 781 {
 782         int i, j;
 783         unsigned total;
 784
 785         if (!bmap || !aff)
 786                 goto error;
 787
 788         total = isl_space_dim(bmap->dim, isl_dim_all);
 789
 790         for (i = bmap->n_eq - 1; i >= 0; --i) {
 791                 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total,
 792                                             bmap->n_div) != -1)
 793                         continue;
 794                 for (j = 0; j < aff->n_eq; ++j) {
 795                         if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) &&
 796                             !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total))
 797                                 continue;
 798                         if (isl_basic_map_drop_equality(bmap, i) < 0)
 799                                 goto error;
 800                         break;
 801                 }
 802         }
 803
 804         return bmap;
 805 error:
 806         isl_basic_map_free(bmap);
 807         return NULL;
 808 }
 809
 810 static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map)
 811 {
 812         int i, n;
 813         struct isl_aff_split *split;
 814         isl_ctx *ctx;
 815
 816         ctx = isl_map_get_ctx(map);
 817         split = isl_calloc_array(ctx, struct isl_aff_split, map->n);
 818         if (!split)
 819                 return NULL;
 820
 821         for (i = 0; i < map->n; ++i) {
 822                 isl_basic_map *bmap;
 823                 split[i].aff = get_aff(isl_basic_map_copy(map->p[i]));
 824                 bmap = isl_basic_map_copy(map->p[i]);
 825                 bmap = isl_basic_map_cow(bmap);
 826                 bmap = drop_aff(bmap, split[i].aff);
 827                 split[i].map = isl_map_from_basic_map(bmap);
 828                 if (!split[i].aff || !split[i].map)
 829                         goto error;
 830         }
 831
 832         qsort(split, map->n, sizeof(struct isl_aff_split), &aff_split_cmp);
 833
 834         n = map->n;
 835         for (i = n - 1; i >= 1; --i) {
 836                 if (!isl_basic_map_plain_is_equal(split[i - 1].aff,
 837                                                  split[i].aff))
 838                         continue;
 839                 isl_basic_map_free(split[i].aff);
 840                 split[i - 1].map = isl_map_union(split[i - 1].map,
 841                                                  split[i].map);
 842                 if (i != n - 1)
 843                         split[i] = split[n - 1];
 844                 split[n - 1].aff = NULL;
 845                 split[n - 1].map = NULL;
 846                 --n;
 847         }
 848
 849         return split;
 850 error:
 851         free_split(split, map->n);
 852         return NULL;
 853 }
 854
 855 static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p,
 856         struct isl_aff_split *split, int n)
 857 {
 858         int i;
 859         int rational;
 860
 861         for (i = 0; i < n; ++i) {
 862                 isl_space *dim;
 863
 864                 if (!split[i].map)
 865                         break;
 866                 dim = split[i].map->dim;
 867                 rational = split[i].map->n > 0 &&
 868                     ISL_F_ISSET(split[i].map->p[0], ISL_BASIC_MAP_RATIONAL);
 869                 if (i)
 870                         p = isl_printer_print_str(p, "; ");
 871                 p = print_space(dim, p, 0, rational, split[i].aff, NULL);
 872                 p = print_disjuncts_map(split[i].map, p, 0);
 873         }
 874
 875         return p;
 876 }
 877
 878 static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map,
 879         __isl_take isl_printer *p)
 880 {
 881         struct isl_aff_split *split = NULL;
 882         int rational;
 883
 884         if (map->n > 0)
 885                 split = split_aff(map);
 886         if (split) {
 887                 p = print_split_map(p, split, map->n);
 888         } else {
 889                 rational = map->n > 0 &&
 890                     ISL_F_ISSET(map->p[0], ISL_BASIC_MAP_RATIONAL);
 891                 p = print_space(map->dim, p, 0, rational, NULL, NULL);
 892                 p = print_disjuncts_map(map, p, 0);
 893         }
 894         free_split(split, map->n);
 895         return p;
 896 }
 897
 898 static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map,
 899         __isl_take isl_printer *p)
 900 {
 901         if (isl_map_dim(map, isl_dim_param) > 0) {
 902                 p = print_tuple(map->dim, p, isl_dim_param, 0, NULL, NULL);
 903                 p = isl_printer_print_str(p, s_to[0]);
 904         }
 905         p = isl_printer_print_str(p, s_open_set[0]);
 906         p = isl_map_print_isl_body(map, p);
 907         p = isl_printer_print_str(p, s_close_set[0]);
 908         return p;
 909 }
 910
 911 static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map,
 912         __isl_take isl_printer *p, __isl_keep isl_basic_map *aff)
 913 {
 914         if (isl_map_dim(map, isl_dim_param) > 0) {
 915                 p = print_tuple(map->dim, p, isl_dim_param, 1, NULL, NULL);
 916                 p = isl_printer_print_str(p, s_to[1]);
 917         }
 918         p = isl_printer_print_str(p, s_open_set[1]);
 919         p = print_space(map->dim, p, 1, 0, aff, NULL);
 920         p = print_disjuncts_map(map, p, 1);
 921         p = isl_printer_print_str(p, s_close_set[1]);
 922
 923         return p;
 924 }
 925
 926 static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map,
 927         __isl_take isl_printer *p)
 928 {
 929         int i;
 930         struct isl_aff_split *split = NULL;
 931
 932         if (map->n > 0)
 933                 split = split_aff(map);
 934
 935         if (!split)
 936                 return print_latex_map(map, p, NULL);
 937
 938         for (i = 0; i < map->n; ++i) {
 939                 if (!split[i].map)
 940                         break;
 941                 if (i)
 942                         p = isl_printer_print_str(p, " \\cup ");
 943                 p = print_latex_map(split[i].map, p, split[i].aff);
 944         }
 945
 946         free_split(split, map->n);
 947         return p;
 948 }
 949
 950 __isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p,
 951         __isl_keep isl_basic_map *bmap)
 952 {
 953         if (!p || !bmap)
 954                 goto error;
 955         if (p->output_format == ISL_FORMAT_ISL)
 956                 return isl_basic_map_print_isl(bmap, p, 0);
 957         else if (p->output_format == ISL_FORMAT_OMEGA)
 958                 return isl_basic_map_print_omega(bmap, p);
 959         isl_assert(bmap->ctx, 0, goto error);
 960 error:
 961         isl_printer_free(p);
 962         return NULL;
 963 }
 964
 965 void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent,
 966         const char *prefix, const char *suffix, unsigned output_format)
 967 {
 968         isl_printer *printer;
 969
 970         if (!bmap)
 971                 return;
 972
 973         printer = isl_printer_to_file(bmap->ctx, out);
 974         printer = isl_printer_set_indent(printer, indent);
 975         printer = isl_printer_set_prefix(printer, prefix);
 976         printer = isl_printer_set_suffix(printer, suffix);
 977         printer = isl_printer_set_output_format(printer, output_format);
 978         isl_printer_print_basic_map(printer, bmap);
 979
 980         isl_printer_free(printer);
 981 }
 982
 983 __isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p,
 984         __isl_keep isl_basic_set *bset)
 985 {
 986         if (!p || !bset)
 987                 goto error;
 988
 989         if (p->output_format == ISL_FORMAT_ISL)
 990                 return isl_basic_map_print_isl(bset, p, 0);
 991         else if (p->output_format == ISL_FORMAT_POLYLIB)
 992                 return isl_basic_set_print_polylib(bset, p, 0);
 993         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
 994                 return isl_basic_set_print_polylib(bset, p, 1);
 995         else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS)
 996                 return bset_print_constraints_polylib(bset, p);
 997         else if (p->output_format == ISL_FORMAT_OMEGA)
 998                 return isl_basic_set_print_omega(bset, p);
 999         isl_assert(p->ctx, 0, goto error);
1000 error:
1001         isl_printer_free(p);
1002         return NULL;
1003 }
1004
1005 void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent,
1006         const char *prefix, const char *suffix, unsigned output_format)
1007 {
1008         isl_printer *printer;
1009
1010         if (!bset)
1011                 return;
1012
1013         printer = isl_printer_to_file(bset->ctx, out);
1014         printer = isl_printer_set_indent(printer, indent);
1015         printer = isl_printer_set_prefix(printer, prefix);
1016         printer = isl_printer_set_suffix(printer, suffix);
1017         printer = isl_printer_set_output_format(printer, output_format);
1018         isl_printer_print_basic_set(printer, bset);
1019
1020         isl_printer_free(printer);
1021 }
1022
1023 __isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p,
1024         __isl_keep isl_set *set)
1025 {
1026         if (!p || !set)
1027                 goto error;
1028         if (p->output_format == ISL_FORMAT_ISL)
1029                 return isl_map_print_isl((isl_map *)set, p);
1030         else if (p->output_format == ISL_FORMAT_POLYLIB)
1031                 return isl_set_print_polylib(set, p, 0);
1032         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1033                 return isl_set_print_polylib(set, p, 1);
1034         else if (p->output_format == ISL_FORMAT_OMEGA)
1035                 return isl_set_print_omega(set, p);
1036         else if (p->output_format == ISL_FORMAT_LATEX)
1037                 return isl_map_print_latex((isl_map *)set, p);
1038         isl_assert(set->ctx, 0, goto error);
1039 error:
1040         isl_printer_free(p);
1041         return NULL;
1042 }
1043
1044 void isl_set_print(struct isl_set *set, FILE *out, int indent,
1045         unsigned output_format)
1046 {
1047         isl_printer *printer;
1048
1049         if (!set)
1050                 return;
1051
1052         printer = isl_printer_to_file(set->ctx, out);
1053         printer = isl_printer_set_indent(printer, indent);
1054         printer = isl_printer_set_output_format(printer, output_format);
1055         printer = isl_printer_print_set(printer, set);
1056
1057         isl_printer_free(printer);
1058 }
1059
1060 __isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p,
1061         __isl_keep isl_map *map)
1062 {
1063         if (!p || !map)
1064                 goto error;
1065
1066         if (p->output_format == ISL_FORMAT_ISL)
1067                 return isl_map_print_isl(map, p);
1068         else if (p->output_format == ISL_FORMAT_POLYLIB)
1069                 return isl_map_print_polylib(map, p, 0);
1070         else if (p->output_format == ISL_FORMAT_EXT_POLYLIB)
1071                 return isl_map_print_polylib(map, p, 1);
1072         else if (p->output_format == ISL_FORMAT_OMEGA)
1073                 return isl_map_print_omega(map, p);
1074         else if (p->output_format == ISL_FORMAT_LATEX)
1075                 return isl_map_print_latex(map, p);
1076         isl_assert(map->ctx, 0, goto error);
1077 error:
1078         isl_printer_free(p);
1079         return NULL;
1080 }
1081
1082 struct isl_union_print_data {
1083         isl_printer *p;
1084         int first;
1085 };
1086
1087 static int print_map_body(__isl_take isl_map *map, void *user)
1088 {
1089         struct isl_union_print_data *data;
1090         data = (struct isl_union_print_data *)user;
1091
1092         if (!data->first)
1093                 data->p = isl_printer_print_str(data->p, "; ");
1094         data->first = 0;
1095
1096         data->p = isl_map_print_isl_body(map, data->p);
1097         isl_map_free(map);
1098
1099         return 0;
1100 }
1101
1102 static __isl_give isl_printer *isl_union_map_print_isl(
1103         __isl_keep isl_union_map *umap, __isl_take isl_printer *p)
1104 {
1105         struct isl_union_print_data data = { p, 1 };
1106         isl_space *dim;
1107         dim = isl_union_map_get_space(umap);
1108         if (isl_space_dim(dim, isl_dim_param) > 0) {
1109                 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL);
1110                 p = isl_printer_print_str(p, s_to[0]);
1111         }
1112         isl_space_free(dim);
1113         p = isl_printer_print_str(p, s_open_set[0]);
1114         isl_union_map_foreach_map(umap, &print_map_body, &data);
1115         p = data.p;
1116         p = isl_printer_print_str(p, s_close_set[0]);
1117         return p;
1118 }
1119
1120 static int print_latex_map_body(__isl_take isl_map *map, void *user)
1121 {
1122         struct isl_union_print_data *data;
1123         data = (struct isl_union_print_data *)user;
1124
1125         if (!data->first)
1126                 data->p = isl_printer_print_str(data->p, " \\cup ");
1127         data->first = 0;
1128
1129         data->p = isl_map_print_latex(map, data->p);
1130         isl_map_free(map);
1131
1132         return 0;
1133 }
1134
1135 static __isl_give isl_printer *isl_union_map_print_latex(
1136         __isl_keep isl_union_map *umap, __isl_take isl_printer *p)
1137 {
1138         struct isl_union_print_data data = { p, 1 };
1139         isl_union_map_foreach_map(umap, &print_latex_map_body, &data);
1140         p = data.p;
1141         return p;
1142 }
1143
1144 __isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p,
1145         __isl_keep isl_union_map *umap)
1146 {
1147         if (!p || !umap)
1148                 goto error;
1149
1150         if (p->output_format == ISL_FORMAT_ISL)
1151                 return isl_union_map_print_isl(umap, p);
1152         if (p->output_format == ISL_FORMAT_LATEX)
1153                 return isl_union_map_print_latex(umap, p);
1154
1155         isl_die(p->ctx, isl_error_invalid,
1156                 "invalid output format for isl_union_map", goto error);
1157 error:
1158         isl_printer_free(p);
1159         return NULL;
1160 }
1161
1162 __isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p,
1163         __isl_keep isl_union_set *uset)
1164 {
1165         if (!p || !uset)
1166                 goto error;
1167
1168         if (p->output_format == ISL_FORMAT_ISL)
1169                 return isl_union_map_print_isl((isl_union_map *)uset, p);
1170         if (p->output_format == ISL_FORMAT_LATEX)
1171                 return isl_union_map_print_latex((isl_union_map *)uset, p);
1172
1173         isl_die(p->ctx, isl_error_invalid,
1174                 "invalid output format for isl_union_set", goto error);
1175 error:
1176         isl_printer_free(p);
1177         return NULL;
1178 }
1179
1180 void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent,
1181         unsigned output_format)
1182 {
1183         isl_printer *printer;
1184
1185         if (!map)
1186                 return;
1187
1188         printer = isl_printer_to_file(map->ctx, out);
1189         printer = isl_printer_set_indent(printer, indent);
1190         printer = isl_printer_set_output_format(printer, output_format);
1191         printer = isl_printer_print_map(printer, map);
1192
1193         isl_printer_free(printer);
1194 }
1195
1196 static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec)
1197 {
1198         int i;
1199         int n;
1200
1201         for (i = 0, n = 0; i < rec->n; ++i)
1202                 if (!isl_upoly_is_zero(rec->p[i]))
1203                         ++n;
1204
1205         return n;
1206 }
1207
1208 static __isl_give isl_printer *print_div(__isl_keep isl_space *dim,
1209         __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p)
1210 {
1211         int c = p->output_format == ISL_FORMAT_C;
1212         p = isl_printer_print_str(p, c ? "floord(" : "[(");
1213         p = print_affine_of_len(dim, div, p,
1214                                 div->row[pos] + 1, div->n_col - 1);
1215         p = isl_printer_print_str(p, c ? ", " : ")/");
1216         p = isl_printer_print_isl_int(p, div->row[pos][0]);
1217         p = isl_printer_print_str(p, c ? ")" : "]");
1218         return p;
1219 }
1220
1221 static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up,
1222         __isl_take isl_printer *p, int first)
1223 {
1224         struct isl_upoly_cst *cst;
1225         int neg;
1226
1227         cst = isl_upoly_as_cst(up);
1228         if (!cst)
1229                 goto error;
1230         neg = !first && isl_int_is_neg(cst->n);
1231         if (!first)
1232                 p = isl_printer_print_str(p, neg ? " - " :  " + ");
1233         if (neg)
1234                 isl_int_neg(cst->n, cst->n);
1235         if (isl_int_is_zero(cst->d)) {
1236                 int sgn = isl_int_sgn(cst->n);
1237                 p = isl_printer_print_str(p, sgn < 0 ? "-infty" :
1238                                             sgn == 0 ? "NaN" : "infty");
1239         } else
1240                 p = isl_printer_print_isl_int(p, cst->n);
1241         if (neg)
1242                 isl_int_neg(cst->n, cst->n);
1243         if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) {
1244                 p = isl_printer_print_str(p, "/");
1245                 p = isl_printer_print_isl_int(p, cst->d);
1246         }
1247         return p;
1248 error:
1249         isl_printer_free(p);
1250         return NULL;
1251 }
1252
1253 static __isl_give isl_printer *print_base(__isl_take isl_printer *p,
1254         __isl_keep isl_space *dim, __isl_keep isl_mat *div, int var)
1255 {
1256         unsigned total;
1257
1258         total = isl_space_dim(dim, isl_dim_all);
1259         if (var < total)
1260                 p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 0);
1261         else
1262                 p = print_div(dim, div, var - total, p);
1263         return p;
1264 }
1265
1266 static __isl_give isl_printer *print_pow(__isl_take isl_printer *p,
1267         __isl_keep isl_space *dim, __isl_keep isl_mat *div, int var, int exp)
1268 {
1269         p = print_base(p, dim, div, var);
1270         if (exp == 1)
1271                 return p;
1272         if (p->output_format == ISL_FORMAT_C) {
1273                 int i;
1274                 for (i = 1; i < exp; ++i) {
1275                         p = isl_printer_print_str(p, "*");
1276                         p = print_base(p, dim, div, var);
1277                 }
1278         } else {
1279                 p = isl_printer_print_str(p, "^");
1280                 p = isl_printer_print_int(p, exp);
1281         }
1282         return p;
1283 }
1284
1285 static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up,
1286         __isl_keep isl_space *dim, __isl_keep isl_mat *div,
1287         __isl_take isl_printer *p, int outer)
1288 {
1289         int i, n, first, print_parens;
1290         struct isl_upoly_rec *rec;
1291
1292         if (!p || !up || !dim || !div)
1293                 goto error;
1294
1295         if (isl_upoly_is_cst(up))
1296                 return upoly_print_cst(up, p, 1);
1297
1298         rec = isl_upoly_as_rec(up);
1299         if (!rec)
1300                 goto error;
1301         n = upoly_rec_n_non_zero(rec);
1302         print_parens = n > 1 ||
1303                     (outer && rec->up.var >= isl_space_dim(dim, isl_dim_all));
1304         if (print_parens)
1305                 p = isl_printer_print_str(p, "(");
1306         for (i = 0, first = 1; i < rec->n; ++i) {
1307                 if (isl_upoly_is_zero(rec->p[i]))
1308                         continue;
1309                 if (isl_upoly_is_negone(rec->p[i])) {
1310                         if (!i)
1311                                 p = isl_printer_print_str(p, "-1");
1312                         else if (first)
1313                                 p = isl_printer_print_str(p, "-");
1314                         else
1315                                 p = isl_printer_print_str(p, " - ");
1316                 } else if (isl_upoly_is_cst(rec->p[i]) &&
1317                                 !isl_upoly_is_one(rec->p[i]))
1318                         p = upoly_print_cst(rec->p[i], p, first);
1319                 else {
1320                         if (!first)
1321                                 p = isl_printer_print_str(p, " + ");
1322                         if (i == 0 || !isl_upoly_is_one(rec->p[i]))
1323                                 p = upoly_print(rec->p[i], dim, div, p, 0);
1324                 }
1325                 first = 0;
1326                 if (i == 0)
1327                         continue;
1328                 if (!isl_upoly_is_one(rec->p[i]) &&
1329                     !isl_upoly_is_negone(rec->p[i]))
1330                         p = isl_printer_print_str(p, " * ");
1331                 p = print_pow(p, dim, div, rec->up.var, i);
1332         }
1333         if (print_parens)
1334                 p = isl_printer_print_str(p, ")");
1335         return p;
1336 error:
1337         isl_printer_free(p);
1338         return NULL;
1339 }
1340
1341 static __isl_give isl_printer *print_qpolynomial(__isl_take isl_printer *p,
1342         __isl_keep isl_qpolynomial *qp)
1343 {
1344         if (!p || !qp)
1345                 goto error;
1346         p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1);
1347         return p;
1348 error:
1349         isl_printer_free(p);
1350         return NULL;
1351 }
1352
1353 static __isl_give isl_printer *print_qpolynomial_isl(__isl_take isl_printer *p,
1354         __isl_keep isl_qpolynomial *qp)
1355 {
1356         if (!p || !qp)
1357                 goto error;
1358
1359         if (isl_space_dim(qp->dim, isl_dim_param) > 0) {
1360                 p = print_tuple(qp->dim, p, isl_dim_param, 0, NULL, NULL);
1361                 p = isl_printer_print_str(p, " -> ");
1362         }
1363         p = isl_printer_print_str(p, "{ ");
1364         if (!isl_space_is_params(qp->dim)) {
1365                 p = print_space(qp->dim, p, 0, 0, NULL, NULL);
1366                 p = isl_printer_print_str(p, " -> ");
1367         }
1368         p = print_qpolynomial(p, qp);
1369         p = isl_printer_print_str(p, " }");
1370         return p;
1371 error:
1372         isl_printer_free(p);
1373         return NULL;
1374 }
1375
1376 static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p,
1377         __isl_keep isl_space *dim, __isl_keep isl_qpolynomial *qp)
1378 {
1379         isl_int den;
1380
1381         isl_int_init(den);
1382         isl_qpolynomial_get_den(qp, &den);
1383         if (!isl_int_is_one(den)) {
1384                 isl_qpolynomial *f;
1385                 p = isl_printer_print_str(p, "(");
1386                 qp = isl_qpolynomial_copy(qp);
1387                 f = isl_qpolynomial_rat_cst_on_domain(isl_space_copy(qp->dim),
1388                                                 den, qp->dim->ctx->one);
1389                 qp = isl_qpolynomial_mul(qp, f);
1390         }
1391         if (qp)
1392                 p = upoly_print(qp->upoly, dim, qp->div, p, 0);
1393         if (!isl_int_is_one(den)) {
1394                 p = isl_printer_print_str(p, ")/");
1395                 p = isl_printer_print_isl_int(p, den);
1396                 isl_qpolynomial_free(qp);
1397         }
1398         isl_int_clear(den);
1399         return p;
1400 }
1401
1402 __isl_give isl_printer *isl_printer_print_qpolynomial(
1403         __isl_take isl_printer *p, __isl_keep isl_qpolynomial *qp)
1404 {
1405         if (!p || !qp)
1406                 goto error;
1407
1408         if (p->output_format == ISL_FORMAT_ISL)
1409                 return print_qpolynomial_isl(p, qp);
1410         else if (p->output_format == ISL_FORMAT_C)
1411                 return print_qpolynomial_c(p, qp->dim, qp);
1412         else
1413                 isl_die(qp->dim->ctx, isl_error_unsupported,
1414                         "output format not supported for isl_qpolynomials",
1415                         goto error);
1416 error:
1417         isl_printer_free(p);
1418         return NULL;
1419 }
1420
1421 void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out,
1422         unsigned output_format)
1423 {
1424         isl_printer *p;
1425
1426         if  (!qp)
1427                 return;
1428
1429         isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1430         p = isl_printer_to_file(qp->dim->ctx, out);
1431         p = isl_printer_print_qpolynomial(p, qp);
1432         isl_printer_free(p);
1433 }
1434
1435 static __isl_give isl_printer *qpolynomial_fold_print(
1436         __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p)
1437 {
1438         int i;
1439
1440         if (fold->type == isl_fold_min)
1441                 p = isl_printer_print_str(p, "min");
1442         else if (fold->type == isl_fold_max)
1443                 p = isl_printer_print_str(p, "max");
1444         p = isl_printer_print_str(p, "(");
1445         for (i = 0; i < fold->n; ++i) {
1446                 if (i)
1447                         p = isl_printer_print_str(p, ", ");
1448                 p = print_qpolynomial(p, fold->qp[i]);
1449         }
1450         p = isl_printer_print_str(p, ")");
1451         return p;
1452 }
1453
1454 void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold,
1455         FILE *out, unsigned output_format)
1456 {
1457         isl_printer *p;
1458
1459         if (!fold)
1460                 return;
1461
1462         isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return);
1463
1464         p = isl_printer_to_file(fold->dim->ctx, out);
1465         p = isl_printer_print_qpolynomial_fold(p, fold);
1466
1467         isl_printer_free(p);
1468 }
1469
1470 static __isl_give isl_printer *isl_pwqp_print_isl_body(
1471         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1472 {
1473         int i = 0;
1474
1475         for (i = 0; i < pwqp->n; ++i) {
1476                 if (i)
1477                         p = isl_printer_print_str(p, "; ");
1478                 if (!isl_space_is_params(pwqp->p[i].set->dim)) {
1479                         p = print_space(pwqp->p[i].set->dim, p, 0, 0, NULL, NULL);
1480                         p = isl_printer_print_str(p, " -> ");
1481                 }
1482                 p = print_qpolynomial(p, pwqp->p[i].qp);
1483                 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 0);
1484         }
1485
1486         return p;
1487 }
1488
1489 static __isl_give isl_printer *print_pw_qpolynomial_isl(
1490         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1491 {
1492         if (!p || !pwqp)
1493                 goto error;
1494
1495         if (isl_space_dim(pwqp->dim, isl_dim_param) > 0) {
1496                 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, NULL, NULL);
1497                 p = isl_printer_print_str(p, " -> ");
1498         }
1499         p = isl_printer_print_str(p, "{ ");
1500         if (pwqp->n == 0) {
1501                 if (!isl_space_is_set(pwqp->dim)) {
1502                         p = print_tuple(pwqp->dim, p, isl_dim_in, 0, NULL, NULL);
1503                         p = isl_printer_print_str(p, " -> ");
1504                 }
1505                 p = isl_printer_print_str(p, "0");
1506         }
1507         p = isl_pwqp_print_isl_body(p, pwqp);
1508         p = isl_printer_print_str(p, " }");
1509         return p;
1510 error:
1511         isl_printer_free(p);
1512         return NULL;
1513 }
1514
1515 void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out,
1516         unsigned output_format)
1517 {
1518         isl_printer *p;
1519
1520         if (!pwqp)
1521                 return;
1522
1523         p = isl_printer_to_file(pwqp->dim->ctx, out);
1524         p = isl_printer_set_output_format(p, output_format);
1525         p = isl_printer_print_pw_qpolynomial(p, pwqp);
1526
1527         isl_printer_free(p);
1528 }
1529
1530 static __isl_give isl_printer *isl_pwf_print_isl_body(
1531         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1532 {
1533         int i = 0;
1534
1535         for (i = 0; i < pwf->n; ++i) {
1536                 if (i)
1537                         p = isl_printer_print_str(p, "; ");
1538                 if (!isl_space_is_params(pwf->p[i].set->dim)) {
1539                         p = print_space(pwf->p[i].set->dim, p, 0, 0, NULL, NULL);
1540                         p = isl_printer_print_str(p, " -> ");
1541                 }
1542                 p = qpolynomial_fold_print(pwf->p[i].fold, p);
1543                 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 0);
1544         }
1545
1546         return p;
1547 }
1548
1549 static __isl_give isl_printer *print_pw_qpolynomial_fold_isl(
1550         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1551 {
1552         if (isl_space_dim(pwf->dim, isl_dim_param) > 0) {
1553                 p = print_tuple(pwf->dim, p, isl_dim_param, 0, NULL, NULL);
1554                 p = isl_printer_print_str(p, " -> ");
1555         }
1556         p = isl_printer_print_str(p, "{ ");
1557         if (pwf->n == 0) {
1558                 if (!isl_space_is_set(pwf->dim)) {
1559                         p = print_tuple(pwf->dim, p, isl_dim_in, 0, NULL, NULL);
1560                         p = isl_printer_print_str(p, " -> ");
1561                 }
1562                 p = isl_printer_print_str(p, "0");
1563         }
1564         p = isl_pwf_print_isl_body(p, pwf);
1565         p = isl_printer_print_str(p, " }");
1566         return p;
1567 }
1568
1569 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1570         __isl_keep isl_space *dim, __isl_keep isl_basic_set *bset, isl_int *c);
1571
1572 static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p,
1573         __isl_keep isl_space *dim,
1574         __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos)
1575 {
1576         if (type == isl_dim_div) {
1577                 p = isl_printer_print_str(p, "floord(");
1578                 p = print_affine_c(p, dim, bset, bset->div[pos] + 1);
1579                 p = isl_printer_print_str(p, ", ");
1580                 p = isl_printer_print_isl_int(p, bset->div[pos][0]);
1581                 p = isl_printer_print_str(p, ")");
1582         } else {
1583                 const char *name;
1584
1585                 name = isl_space_get_dim_name(dim, type, pos);
1586                 if (!name)
1587                         name = "UNNAMED";
1588                 p = isl_printer_print_str(p, name);
1589         }
1590         return p;
1591 }
1592
1593 static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p,
1594         __isl_keep isl_space *dim,
1595         __isl_keep isl_basic_set *bset, isl_int c, unsigned pos)
1596 {
1597         enum isl_dim_type type;
1598
1599         if (pos == 0)
1600                 return isl_printer_print_isl_int(p, c);
1601
1602         if (isl_int_is_one(c))
1603                 ;
1604         else if (isl_int_is_negone(c))
1605                 p = isl_printer_print_str(p, "-");
1606         else {
1607                 p = isl_printer_print_isl_int(p, c);
1608                 p = isl_printer_print_str(p, "*");
1609         }
1610         type = pos2type(dim, &pos);
1611         p = print_name_c(p, dim, bset, type, pos);
1612         return p;
1613 }
1614
1615 static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p,
1616         __isl_keep isl_space *dim,
1617         __isl_keep isl_basic_set *bset, isl_int *c, unsigned len)
1618 {
1619         int i;
1620         int first;
1621
1622         for (i = 0, first = 1; i < len; ++i) {
1623                 int flip = 0;
1624                 if (isl_int_is_zero(c[i]))
1625                         continue;
1626                 if (!first) {
1627                         if (isl_int_is_neg(c[i])) {
1628                                 flip = 1;
1629                                 isl_int_neg(c[i], c[i]);
1630                                 p = isl_printer_print_str(p, " - ");
1631                         } else
1632                                 p = isl_printer_print_str(p, " + ");
1633                 }
1634                 first = 0;
1635                 p = print_term_c(p, dim, bset, c[i], i);
1636                 if (flip)
1637                         isl_int_neg(c[i], c[i]);
1638         }
1639         if (first)
1640                 p = isl_printer_print_str(p, "0");
1641         return p;
1642 }
1643
1644 static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p,
1645         __isl_keep isl_space *dim, __isl_keep isl_basic_set *bset, isl_int *c)
1646 {
1647         unsigned len = 1 + isl_basic_set_total_dim(bset);
1648         return print_partial_affine_c(p, dim, bset, c, len);
1649 }
1650
1651 static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p,
1652         __isl_keep isl_space *dim,
1653         __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first)
1654 {
1655         if (!first)
1656                 p = isl_printer_print_str(p, " && ");
1657
1658         p = print_affine_c(p, dim, bset, c);
1659         p = isl_printer_print_str(p, " ");
1660         p = isl_printer_print_str(p, op);
1661         p = isl_printer_print_str(p, " 0");
1662         return p;
1663 }
1664
1665 static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p,
1666         __isl_keep isl_space *dim, __isl_keep isl_basic_set *bset)
1667 {
1668         int i, j;
1669         unsigned n_div = isl_basic_set_dim(bset, isl_dim_div);
1670         unsigned total = isl_basic_set_total_dim(bset) - n_div;
1671
1672         for (i = 0; i < bset->n_eq; ++i) {
1673                 j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div);
1674                 if (j < 0)
1675                         p = print_constraint_c(p, dim, bset,
1676                                                 bset->eq[i], "==", !i);
1677                 else {
1678                         if (i)
1679                                 p = isl_printer_print_str(p, " && ");
1680                         p = isl_printer_print_str(p, "(");
1681                         p = print_partial_affine_c(p, dim, bset, bset->eq[i],
1682                                                    1 + total + j);
1683                         p = isl_printer_print_str(p, ") % ");
1684                         p = isl_printer_print_isl_int(p,
1685                                                 bset->eq[i][1 + total + j]);
1686                         p = isl_printer_print_str(p, " == 0");
1687                 }
1688         }
1689         for (i = 0; i < bset->n_ineq; ++i)
1690                 p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=",
1691                                         !bset->n_eq && !i);
1692         return p;
1693 }
1694
1695 static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p,
1696         __isl_keep isl_space *dim, __isl_keep isl_set *set)
1697 {
1698         int i;
1699
1700         if (set->n == 0)
1701                 p = isl_printer_print_str(p, "0");
1702
1703         for (i = 0; i < set->n; ++i) {
1704                 if (i)
1705                         p = isl_printer_print_str(p, " || ");
1706                 if (set->n > 1)
1707                         p = isl_printer_print_str(p, "(");
1708                 p = print_basic_set_c(p, dim, set->p[i]);
1709                 if (set->n > 1)
1710                         p = isl_printer_print_str(p, ")");
1711         }
1712         return p;
1713 }
1714
1715 static __isl_give isl_printer *print_pw_qpolynomial_c(
1716         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1717 {
1718         int i;
1719
1720         if (pwqp->n == 1 && isl_set_plain_is_universe(pwqp->p[0].set))
1721                 return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp);
1722
1723         for (i = 0; i < pwqp->n; ++i) {
1724                 p = isl_printer_print_str(p, "(");
1725                 p = print_set_c(p, pwqp->dim, pwqp->p[i].set);
1726                 p = isl_printer_print_str(p, ") ? (");
1727                 p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp);
1728                 p = isl_printer_print_str(p, ") : ");
1729         }
1730
1731         p = isl_printer_print_str(p, "0");
1732         return p;
1733 }
1734
1735 __isl_give isl_printer *isl_printer_print_pw_qpolynomial(
1736         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp)
1737 {
1738         if (!p || !pwqp)
1739                 goto error;
1740
1741         if (p->output_format == ISL_FORMAT_ISL)
1742                 return print_pw_qpolynomial_isl(p, pwqp);
1743         else if (p->output_format == ISL_FORMAT_C)
1744                 return print_pw_qpolynomial_c(p, pwqp);
1745         isl_assert(p->ctx, 0, goto error);
1746 error:
1747         isl_printer_free(p);
1748         return NULL;
1749 }
1750
1751 static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user)
1752 {
1753         struct isl_union_print_data *data;
1754         data = (struct isl_union_print_data *)user;
1755
1756         if (!data->first)
1757                 data->p = isl_printer_print_str(data->p, "; ");
1758         data->first = 0;
1759
1760         data->p = isl_pwqp_print_isl_body(data->p, pwqp);
1761         isl_pw_qpolynomial_free(pwqp);
1762
1763         return 0;
1764 }
1765
1766 static __isl_give isl_printer *print_union_pw_qpolynomial_isl(
1767         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1768 {
1769         struct isl_union_print_data data = { p, 1 };
1770         isl_space *dim;
1771         dim = isl_union_pw_qpolynomial_get_space(upwqp);
1772         if (isl_space_dim(dim, isl_dim_param) > 0) {
1773                 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL);
1774                 p = isl_printer_print_str(p, " -> ");
1775         }
1776         isl_space_free(dim);
1777         p = isl_printer_print_str(p, "{ ");
1778         isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body,
1779                                                         &data);
1780         p = data.p;
1781         p = isl_printer_print_str(p, " }");
1782         return p;
1783 }
1784
1785 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial(
1786         __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp)
1787 {
1788         if (!p || !upwqp)
1789                 goto error;
1790
1791         if (p->output_format == ISL_FORMAT_ISL)
1792                 return print_union_pw_qpolynomial_isl(p, upwqp);
1793         isl_die(p->ctx, isl_error_invalid,
1794                 "invalid output format for isl_union_pw_qpolynomial",
1795                 goto error);
1796 error:
1797         isl_printer_free(p);
1798         return NULL;
1799 }
1800
1801 static __isl_give isl_printer *print_qpolynomial_fold_c(
1802         __isl_take isl_printer *p, __isl_keep isl_space *dim,
1803         __isl_keep isl_qpolynomial_fold *fold)
1804 {
1805         int i;
1806
1807         for (i = 0; i < fold->n - 1; ++i)
1808                 if (fold->type == isl_fold_min)
1809                         p = isl_printer_print_str(p, "min(");
1810                 else if (fold->type == isl_fold_max)
1811                         p = isl_printer_print_str(p, "max(");
1812
1813         for (i = 0; i < fold->n; ++i) {
1814                 if (i)
1815                         p = isl_printer_print_str(p, ", ");
1816                 p = print_qpolynomial_c(p, dim, fold->qp[i]);
1817                 if (i)
1818                         p = isl_printer_print_str(p, ")");
1819         }
1820         return p;
1821 }
1822
1823 __isl_give isl_printer *isl_printer_print_qpolynomial_fold(
1824         __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold)
1825 {
1826         if  (!p || !fold)
1827                 goto error;
1828         if (p->output_format == ISL_FORMAT_ISL)
1829                 return qpolynomial_fold_print(fold, p);
1830         else if (p->output_format == ISL_FORMAT_C)
1831                 return print_qpolynomial_fold_c(p, fold->dim, fold);
1832         isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
1833                 goto error);
1834 error:
1835         isl_printer_free(p);
1836         return NULL;
1837 }
1838
1839 static __isl_give isl_printer *print_pw_qpolynomial_fold_c(
1840         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1841 {
1842         int i;
1843
1844         if (pwf->n == 1 && isl_set_plain_is_universe(pwf->p[0].set))
1845                 return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold);
1846
1847         for (i = 0; i < pwf->n; ++i) {
1848                 p = isl_printer_print_str(p, "(");
1849                 p = print_set_c(p, pwf->dim, pwf->p[i].set);
1850                 p = isl_printer_print_str(p, ") ? (");
1851                 p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold);
1852                 p = isl_printer_print_str(p, ") : ");
1853         }
1854
1855         p = isl_printer_print_str(p, "0");
1856         return p;
1857 }
1858
1859 __isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold(
1860         __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf)
1861 {
1862         if (!p || !pwf)
1863                 goto error;
1864
1865         if (p->output_format == ISL_FORMAT_ISL)
1866                 return print_pw_qpolynomial_fold_isl(p, pwf);
1867         else if (p->output_format == ISL_FORMAT_C)
1868                 return print_pw_qpolynomial_fold_c(p, pwf);
1869         isl_assert(p->ctx, 0, goto error);
1870 error:
1871         isl_printer_free(p);
1872         return NULL;
1873 }
1874
1875 void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf,
1876         FILE *out, unsigned output_format)
1877 {
1878         isl_printer *p;
1879
1880         if (!pwf)
1881                 return;
1882
1883         p = isl_printer_to_file(pwf->dim->ctx, out);
1884         p = isl_printer_set_output_format(p, output_format);
1885         p = isl_printer_print_pw_qpolynomial_fold(p, pwf);
1886
1887         isl_printer_free(p);
1888 }
1889
1890 static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user)
1891 {
1892         struct isl_union_print_data *data;
1893         data = (struct isl_union_print_data *)user;
1894
1895         if (!data->first)
1896                 data->p = isl_printer_print_str(data->p, "; ");
1897         data->first = 0;
1898
1899         data->p = isl_pwf_print_isl_body(data->p, pwf);
1900         isl_pw_qpolynomial_fold_free(pwf);
1901
1902         return 0;
1903 }
1904
1905 static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl(
1906         __isl_take isl_printer *p,
1907         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1908 {
1909         struct isl_union_print_data data = { p, 1 };
1910         isl_space *dim;
1911         dim = isl_union_pw_qpolynomial_fold_get_space(upwf);
1912         if (isl_space_dim(dim, isl_dim_param) > 0) {
1913                 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL);
1914                 p = isl_printer_print_str(p, " -> ");
1915         }
1916         isl_space_free(dim);
1917         p = isl_printer_print_str(p, "{ ");
1918         isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf,
1919                                                         &print_pwf_body, &data);
1920         p = data.p;
1921         p = isl_printer_print_str(p, " }");
1922         return p;
1923 }
1924
1925 __isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold(
1926         __isl_take isl_printer *p,
1927         __isl_keep isl_union_pw_qpolynomial_fold *upwf)
1928 {
1929         if (!p || !upwf)
1930                 goto error;
1931
1932         if (p->output_format == ISL_FORMAT_ISL)
1933                 return print_union_pw_qpolynomial_fold_isl(p, upwf);
1934         isl_die(p->ctx, isl_error_invalid,
1935                 "invalid output format for isl_union_pw_qpolynomial_fold",
1936                 goto error);
1937 error:
1938         isl_printer_free(p);
1939         return NULL;
1940 }
1941
1942 __isl_give isl_printer *isl_printer_print_constraint(__isl_take isl_printer *p,
1943         __isl_keep isl_constraint *c)
1944 {
1945         isl_basic_map *bmap;
1946
1947         if (!p || !c)
1948                 goto error;
1949
1950         bmap = isl_basic_map_from_constraint(isl_constraint_copy(c));
1951         p = isl_printer_print_basic_map(p, bmap);
1952         isl_basic_map_free(bmap);
1953         return p;
1954 error:
1955         isl_printer_free(p);
1956         return NULL;
1957 }
1958
1959 __isl_give isl_printer *isl_printer_print_space(__isl_take isl_printer *p,
1960         __isl_keep isl_space *dim)
1961 {
1962         if (!dim)
1963                 goto error;
1964
1965         if (isl_space_dim(dim, isl_dim_param) > 0) {
1966                 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL);
1967                 p = isl_printer_print_str(p, " -> ");
1968         }
1969
1970         p = isl_printer_print_str(p, "{ ");
1971         if (isl_space_is_params(dim))
1972                 p = isl_printer_print_str(p, s_such_that[0]);
1973         else
1974                 p = print_space(dim, p, 0, 0, NULL, NULL);
1975         p = isl_printer_print_str(p, " }");
1976
1977         return p;
1978 error:
1979         isl_printer_free(p);
1980         return NULL;
1981 }
1982
1983 __isl_give isl_printer *isl_printer_print_local_space(__isl_take isl_printer *p,
1984         __isl_keep isl_local_space *ls)
1985 {
1986         unsigned total;
1987         unsigned n_div;
1988
1989         if (!ls)
1990                 goto error;
1991
1992         total = isl_local_space_dim(ls, isl_dim_all);
1993         if (isl_local_space_dim(ls, isl_dim_param) > 0) {
1994                 p = print_tuple(ls->dim, p, isl_dim_param, 0, NULL, NULL);
1995                 p = isl_printer_print_str(p, " -> ");
1996         }
1997         p = isl_printer_print_str(p, "{ ");
1998         p = print_space(ls->dim, p, 0, 0, NULL, NULL);
1999         n_div = isl_local_space_dim(ls, isl_dim_div);
2000         if (n_div > 0) {
2001                 int i;
2002                 p = isl_printer_print_str(p, " : ");
2003                 p = isl_printer_print_str(p, s_open_exists[0]);
2004                 for (i = 0; i < n_div; ++i) {
2005                         if (i)
2006                                 p = isl_printer_print_str(p, ", ");
2007                         p = print_name(ls->dim, p, isl_dim_div, i, 0);
2008                         if (isl_int_is_zero(ls->div->row[i][0]))
2009                                 continue;
2010                         p = isl_printer_print_str(p, " = [(");
2011                         p = print_affine_of_len(ls->dim, ls->div, p,
2012                                             ls->div->row[i] + 1, 1 + total);
2013                         p = isl_printer_print_str(p, ")/");
2014                         p = isl_printer_print_isl_int(p, ls->div->row[i][0]);
2015                         p = isl_printer_print_str(p, "]");
2016                 }
2017         } else if (isl_space_is_params(ls->dim))
2018                 p = isl_printer_print_str(p, s_such_that[0]);
2019         p = isl_printer_print_str(p, " }");
2020         return p;
2021 error:
2022         isl_printer_free(p);
2023         return NULL;
2024 }
2025
2026 static __isl_give isl_printer *print_aff_body(__isl_take isl_printer *p,
2027         __isl_keep isl_aff *aff)
2028 {
2029         unsigned total;
2030
2031         total = isl_local_space_dim(aff->ls, isl_dim_all);
2032         p = isl_printer_print_str(p, "(");
2033         p = print_affine_of_len(aff->ls->dim, aff->ls->div, p,
2034                                 aff->v->el + 1, 1 + total);
2035         if (isl_int_is_one(aff->v->el[0]))
2036                 p = isl_printer_print_str(p, ")");
2037         else {
2038                 p = isl_printer_print_str(p, ")/");
2039                 p = isl_printer_print_isl_int(p, aff->v->el[0]);
2040         }
2041
2042         return p;
2043 }
2044
2045 static __isl_give isl_printer *print_aff(__isl_take isl_printer *p,
2046         __isl_keep isl_aff *aff)
2047 {
2048         if (isl_space_is_params(aff->ls->dim))
2049                 ;
2050         else {
2051                 p = print_tuple(aff->ls->dim, p, isl_dim_set, 0, NULL, NULL);
2052                 p = isl_printer_print_str(p, " -> ");
2053         }
2054         p = isl_printer_print_str(p, "[");
2055         p = print_aff_body(p, aff);
2056         p = isl_printer_print_str(p, "]");
2057
2058         return p;
2059 }
2060
2061 static __isl_give isl_printer *print_aff_isl(__isl_take isl_printer *p,
2062         __isl_keep isl_aff *aff)
2063 {
2064         if (!aff)
2065                 goto error;
2066
2067         if (isl_local_space_dim(aff->ls, isl_dim_param) > 0) {
2068                 p = print_tuple(aff->ls->dim, p, isl_dim_param, 0, NULL, NULL);
2069                 p = isl_printer_print_str(p, " -> ");
2070         }
2071         p = isl_printer_print_str(p, "{ ");
2072         p = print_aff(p, aff);
2073         p = isl_printer_print_str(p, " }");
2074         return p;
2075 error:
2076         isl_printer_free(p);
2077         return NULL;
2078 }
2079
2080 static __isl_give isl_printer *print_pw_aff_isl(__isl_take isl_printer *p,
2081         __isl_keep isl_pw_aff *pwaff)
2082 {
2083         int i;
2084
2085         if (!pwaff)
2086                 goto error;
2087
2088         if (isl_space_dim(pwaff->dim, isl_dim_param) > 0) {
2089                 p = print_tuple(pwaff->dim, p, isl_dim_param, 0, NULL, NULL);
2090                 p = isl_printer_print_str(p, " -> ");
2091         }
2092         p = isl_printer_print_str(p, "{ ");
2093         for (i = 0; i < pwaff->n; ++i) {
2094                 if (i)
2095                         p = isl_printer_print_str(p, "; ");
2096                 p = print_aff(p, pwaff->p[i].aff);
2097                 p = print_disjuncts((isl_map *)pwaff->p[i].set, p, 0);
2098         }
2099         p = isl_printer_print_str(p, " }");
2100         return p;
2101 error:
2102         isl_printer_free(p);
2103         return NULL;
2104 }
2105
2106 static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p,
2107         __isl_keep isl_local_space *ls, isl_int *c);
2108
2109 static __isl_give isl_printer *print_ls_name_c(__isl_take isl_printer *p,
2110         __isl_keep isl_local_space *ls, enum isl_dim_type type, unsigned pos)
2111 {
2112         if (type == isl_dim_div) {
2113                 p = isl_printer_print_str(p, "floord(");
2114                 p = print_ls_affine_c(p, ls, ls->div->row[pos] + 1);
2115                 p = isl_printer_print_str(p, ", ");
2116                 p = isl_printer_print_isl_int(p, ls->div->row[pos][0]);
2117                 p = isl_printer_print_str(p, ")");
2118         } else {
2119                 const char *name;
2120
2121                 name = isl_space_get_dim_name(ls->dim, type, pos);
2122                 if (!name)
2123                         name = "UNNAMED";
2124                 p = isl_printer_print_str(p, name);
2125         }
2126         return p;
2127 }
2128
2129 static __isl_give isl_printer *print_ls_term_c(__isl_take isl_printer *p,
2130         __isl_keep isl_local_space *ls, isl_int c, unsigned pos)
2131 {
2132         enum isl_dim_type type;
2133
2134         if (pos == 0)
2135                 return isl_printer_print_isl_int(p, c);
2136
2137         if (isl_int_is_one(c))
2138                 ;
2139         else if (isl_int_is_negone(c))
2140                 p = isl_printer_print_str(p, "-");
2141         else {
2142                 p = isl_printer_print_isl_int(p, c);
2143                 p = isl_printer_print_str(p, "*");
2144         }
2145         type = pos2type(ls->dim, &pos);
2146         p = print_ls_name_c(p, ls, type, pos);
2147         return p;
2148 }
2149
2150 static __isl_give isl_printer *print_ls_partial_affine_c(
2151         __isl_take isl_printer *p, __isl_keep isl_local_space *ls,
2152         isl_int *c, unsigned len)
2153 {
2154         int i;
2155         int first;
2156
2157         for (i = 0, first = 1; i < len; ++i) {
2158                 int flip = 0;
2159                 if (isl_int_is_zero(c[i]))
2160                         continue;
2161                 if (!first) {
2162                         if (isl_int_is_neg(c[i])) {
2163                                 flip = 1;
2164                                 isl_int_neg(c[i], c[i]);
2165                                 p = isl_printer_print_str(p, " - ");
2166                         } else
2167                                 p = isl_printer_print_str(p, " + ");
2168                 }
2169                 first = 0;
2170                 p = print_ls_term_c(p, ls, c[i], i);
2171                 if (flip)
2172                         isl_int_neg(c[i], c[i]);
2173         }
2174         if (first)
2175                 p = isl_printer_print_str(p, "0");
2176         return p;
2177 }
2178
2179 static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p,
2180         __isl_keep isl_local_space *ls, isl_int *c)
2181 {
2182         unsigned len = 1 + isl_local_space_dim(ls, isl_dim_all);
2183         return print_ls_partial_affine_c(p, ls, c, len);
2184 }
2185
2186 static __isl_give isl_printer *print_aff_c(__isl_take isl_printer *p,
2187         __isl_keep isl_aff *aff)
2188 {
2189         unsigned total;
2190
2191         total = isl_local_space_dim(aff->ls, isl_dim_all);
2192         if (!isl_int_is_one(aff->v->el[0]))
2193                 p = isl_printer_print_str(p, "(");
2194         p = print_ls_partial_affine_c(p, aff->ls, aff->v->el + 1, 1 + total);
2195         if (!isl_int_is_one(aff->v->el[0])) {
2196                 p = isl_printer_print_str(p, ")/");
2197                 p = isl_printer_print_isl_int(p, aff->v->el[0]);
2198         }
2199         return p;
2200 }
2201
2202 static __isl_give isl_printer *print_pw_aff_c(__isl_take isl_printer *p,
2203         __isl_keep isl_pw_aff *pwaff)
2204 {
2205         int i;
2206
2207         if (pwaff->n < 1)
2208                 isl_die(p->ctx, isl_error_unsupported,
2209                         "cannot print empty isl_pw_aff in C format", goto error);
2210
2211         for (i = 0; i < pwaff->n - 1; ++i) {
2212                 p = isl_printer_print_str(p, "(");
2213                 p = print_set_c(p, pwaff->dim, pwaff->p[i].set);
2214                 p = isl_printer_print_str(p, ") ? (");
2215                 p = print_aff_c(p, pwaff->p[i].aff);
2216                 p = isl_printer_print_str(p, ") : ");
2217         }
2218
2219         return print_aff_c(p, pwaff->p[pwaff->n - 1].aff);
2220 error:
2221         isl_printer_free(p);
2222         return NULL;
2223 }
2224
2225 __isl_give isl_printer *isl_printer_print_aff(__isl_take isl_printer *p,
2226         __isl_keep isl_aff *aff)
2227 {
2228         if (!p || !aff)
2229                 goto error;
2230
2231         if (p->output_format == ISL_FORMAT_ISL)
2232                 return print_aff_isl(p, aff);
2233         else if (p->output_format == ISL_FORMAT_C)
2234                 return print_aff_c(p, aff);
2235         isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
2236                 goto error);
2237 error:
2238         isl_printer_free(p);
2239         return NULL;
2240 }
2241
2242 __isl_give isl_printer *isl_printer_print_pw_aff(__isl_take isl_printer *p,
2243         __isl_keep isl_pw_aff *pwaff)
2244 {
2245         if (!p || !pwaff)
2246                 goto error;
2247
2248         if (p->output_format == ISL_FORMAT_ISL)
2249                 return print_pw_aff_isl(p, pwaff);
2250         else if (p->output_format == ISL_FORMAT_C)
2251                 return print_pw_aff_c(p, pwaff);
2252         isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
2253                 goto error);
2254 error:
2255         isl_printer_free(p);
2256         return NULL;
2257 }
2258
2259 static __isl_give isl_printer *print_multi_aff(__isl_take isl_printer *p,
2260         __isl_keep isl_multi_aff *maff)
2261 {
2262         return print_space(maff->space, p, 0, 0, NULL, maff);
2263 }
2264
2265 static __isl_give isl_printer *print_multi_aff_isl(__isl_take isl_printer *p,
2266         __isl_keep isl_multi_aff *maff)
2267 {
2268         if (!maff)
2269                 goto error;
2270
2271         if (isl_space_dim(maff->space, isl_dim_param) > 0) {
2272                 p = print_tuple(maff->space, p, isl_dim_param, 0, NULL, NULL);
2273                 p = isl_printer_print_str(p, " -> ");
2274         }
2275         p = isl_printer_print_str(p, "{ ");
2276         p = print_multi_aff(p, maff);
2277         p = isl_printer_print_str(p, " }");
2278         return p;
2279 error:
2280         isl_printer_free(p);
2281         return NULL;
2282 }
2283
2284 __isl_give isl_printer *isl_printer_print_multi_aff(__isl_take isl_printer *p,
2285         __isl_keep isl_multi_aff *maff)
2286 {
2287         if (!p || !maff)
2288                 goto error;
2289
2290         if (p->output_format == ISL_FORMAT_ISL)
2291                 return print_multi_aff_isl(p, maff);
2292         isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
2293                 goto error);
2294 error:
2295         isl_printer_free(p);
2296         return NULL;
2297 }
2298
2299 static __isl_give isl_printer *print_pw_multi_aff_isl(__isl_take isl_printer *p,
2300         __isl_keep isl_pw_multi_aff *pma)
2301 {
2302         int i;
2303
2304         if (!pma)
2305                 goto error;
2306
2307         if (isl_space_dim(pma->dim, isl_dim_param) > 0) {
2308                 p = print_tuple(pma->dim, p, isl_dim_param, 0, NULL, NULL);
2309                 p = isl_printer_print_str(p, " -> ");
2310         }
2311         p = isl_printer_print_str(p, "{ ");
2312         for (i = 0; i < pma->n; ++i) {
2313                 if (i)
2314                         p = isl_printer_print_str(p, "; ");
2315                 p = print_multi_aff(p, pma->p[i].maff);
2316                 p = print_disjuncts((isl_map *)pma->p[i].set, p, 0);
2317         }
2318         p = isl_printer_print_str(p, " }");
2319         return p;
2320 error:
2321         isl_printer_free(p);
2322         return NULL;
2323 }
2324
2325 static __isl_give isl_printer *print_unnamed_pw_multi_aff_c(
2326         __isl_take isl_printer *p, __isl_keep isl_pw_multi_aff *pma)
2327 {
2328         int i;
2329
2330         for (i = 0; i < pma->n - 1; ++i) {
2331                 p = isl_printer_print_str(p, "(");
2332                 p = print_set_c(p, pma->dim, pma->p[i].set);
2333                 p = isl_printer_print_str(p, ") ? (");
2334                 p = print_aff_c(p, pma->p[i].maff->p[0]);
2335                 p = isl_printer_print_str(p, ") : ");
2336         }
2337
2338         return print_aff_c(p, pma->p[pma->n - 1].maff->p[0]);
2339 }
2340
2341 static __isl_give isl_printer *print_pw_multi_aff_c(__isl_take isl_printer *p,
2342         __isl_keep isl_pw_multi_aff *pma)
2343 {
2344         int n;
2345         const char *name;
2346
2347         if (!pma)
2348                 goto error;
2349         if (pma->n < 1)
2350                 isl_die(p->ctx, isl_error_unsupported,
2351                         "cannot print empty isl_pw_multi_aff in C format",
2352                         goto error);
2353         name = isl_pw_multi_aff_get_tuple_name(pma, isl_dim_out);
2354         if (!name && isl_pw_multi_aff_dim(pma, isl_dim_out) == 1)
2355                 return print_unnamed_pw_multi_aff_c(p, pma);
2356         if (!name)
2357                 isl_die(p->ctx, isl_error_unsupported,
2358                         "cannot print unnamed isl_pw_multi_aff in C format",
2359                         goto error);
2360
2361         p = isl_printer_print_str(p, name);
2362         n = isl_pw_multi_aff_dim(pma, isl_dim_out);
2363         if (n != 0)
2364                 isl_die(p->ctx, isl_error_unsupported,
2365                         "not supported yet", goto error);
2366
2367         return p;
2368 error:
2369         isl_printer_free(p);
2370         return NULL;
2371 }
2372
2373 __isl_give isl_printer *isl_printer_print_pw_multi_aff(
2374         __isl_take isl_printer *p, __isl_keep isl_pw_multi_aff *pma)
2375 {
2376         if (!p || !pma)
2377                 goto error;
2378
2379         if (p->output_format == ISL_FORMAT_ISL)
2380                 return print_pw_multi_aff_isl(p, pma);
2381         if (p->output_format == ISL_FORMAT_C)
2382                 return print_pw_multi_aff_c(p, pma);
2383         isl_die(p->ctx, isl_error_unsupported, "unsupported output format",
2384                 goto error);
2385 error:
2386         isl_printer_free(p);
2387         return NULL;
2388 }