1/* 2 * Copyright 2008-2009 Katholieke Universiteit Leuven 3 * Copyright 2010 INRIA Saclay 4 * 5 * Use of this software is governed by the MIT 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#include <isl_ast_build_expr.h> 28#include <isl_sort.h> 29 30static const char *s_to[2] = { " -> ", " \\to " }; 31static const char *s_and[2] = { " and ", " \\wedge " }; 32static const char *s_or[2] = { " or ", " \\vee " }; 33static const char *s_le[2] = { "<=", "\\le" }; 34static const char *s_ge[2] = { ">=", "\\ge" }; 35static const char *s_open_set[2] = { "{ ", "\\{\\, " }; 36static const char *s_close_set[2] = { " }", " \\,\\}" }; 37static const char *s_open_list[2] = { "[", "(" }; 38static const char *s_close_list[2] = { "]", ")" }; 39static const char *s_such_that[2] = { " : ", " \\mid " }; 40static const char *s_open_exists[2] = { "exists (", "\\exists \\, " }; 41static const char *s_close_exists[2] = { ")", "" }; 42static const char *s_div_prefix[2] = { "e", "\\alpha_" }; 43static const char *s_param_prefix[2] = { "p", "p_" }; 44static const char *s_input_prefix[2] = { "i", "i_" }; 45static const char *s_output_prefix[2] = { "o", "o_" }; 46 47static __isl_give isl_printer *print_constraint_polylib( 48 struct isl_basic_map *bmap, int ineq, int n, __isl_take isl_printer *p) 49{ 50 int i; 51 unsigned n_in = isl_basic_map_dim(bmap, isl_dim_in); 52 unsigned n_out = isl_basic_map_dim(bmap, isl_dim_out); 53 unsigned nparam = isl_basic_map_dim(bmap, isl_dim_param); 54 isl_int *c = ineq ? bmap->ineq[n] : bmap->eq[n]; 55 56 p = isl_printer_start_line(p); 57 p = isl_printer_print_int(p, ineq); 58 for (i = 0; i < n_out; ++i) { 59 p = isl_printer_print_str(p, " "); 60 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+i]); 61 } 62 for (i = 0; i < n_in; ++i) { 63 p = isl_printer_print_str(p, " "); 64 p = isl_printer_print_isl_int(p, c[1+nparam+i]); 65 } 66 for (i = 0; i < bmap->n_div; ++i) { 67 p = isl_printer_print_str(p, " "); 68 p = isl_printer_print_isl_int(p, c[1+nparam+n_in+n_out+i]); 69 } 70 for (i = 0; i < nparam; ++i) { 71 p = isl_printer_print_str(p, " "); 72 p = isl_printer_print_isl_int(p, c[1+i]); 73 } 74 p = isl_printer_print_str(p, " "); 75 p = isl_printer_print_isl_int(p, c[0]); 76 p = isl_printer_end_line(p); 77 return p; 78} 79 80static __isl_give isl_printer *print_constraints_polylib( 81 struct isl_basic_map *bmap, __isl_take isl_printer *p) 82{ 83 int i; 84 85 p = isl_printer_set_isl_int_width(p, 5); 86 87 for (i = 0; i < bmap->n_eq; ++i) 88 p = print_constraint_polylib(bmap, 0, i, p); 89 for (i = 0; i < bmap->n_ineq; ++i) 90 p = print_constraint_polylib(bmap, 1, i, p); 91 92 return p; 93} 94 95static __isl_give isl_printer *bset_print_constraints_polylib( 96 struct isl_basic_set *bset, __isl_take isl_printer *p) 97{ 98 return print_constraints_polylib((struct isl_basic_map *)bset, p); 99} 100 101static __isl_give isl_printer *isl_basic_map_print_polylib( 102 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, int ext) 103{ 104 unsigned total = isl_basic_map_total_dim(bmap); 105 p = isl_printer_start_line(p); 106 p = isl_printer_print_int(p, bmap->n_eq + bmap->n_ineq); 107 p = isl_printer_print_str(p, " "); 108 p = isl_printer_print_int(p, 1 + total + 1); 109 if (ext) { 110 p = isl_printer_print_str(p, " "); 111 p = isl_printer_print_int(p, 112 isl_basic_map_dim(bmap, isl_dim_out)); 113 p = isl_printer_print_str(p, " "); 114 p = isl_printer_print_int(p, 115 isl_basic_map_dim(bmap, isl_dim_in)); 116 p = isl_printer_print_str(p, " "); 117 p = isl_printer_print_int(p, 118 isl_basic_map_dim(bmap, isl_dim_div)); 119 p = isl_printer_print_str(p, " "); 120 p = isl_printer_print_int(p, 121 isl_basic_map_dim(bmap, isl_dim_param)); 122 } 123 p = isl_printer_end_line(p); 124 return print_constraints_polylib(bmap, p); 125} 126 127static __isl_give isl_printer *isl_basic_set_print_polylib( 128 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p, int ext) 129{ 130 return isl_basic_map_print_polylib((struct isl_basic_map *)bset, p, ext); 131} 132 133static __isl_give isl_printer *isl_map_print_polylib(__isl_keep isl_map *map, 134 __isl_take isl_printer *p, int ext) 135{ 136 int i; 137 138 p = isl_printer_start_line(p); 139 p = isl_printer_print_int(p, map->n); 140 p = isl_printer_end_line(p); 141 for (i = 0; i < map->n; ++i) { 142 p = isl_printer_start_line(p); 143 p = isl_printer_end_line(p); 144 p = isl_basic_map_print_polylib(map->p[i], p, ext); 145 } 146 return p; 147} 148 149static __isl_give isl_printer *isl_set_print_polylib(__isl_keep isl_set *set, 150 __isl_take isl_printer *p, int ext) 151{ 152 return isl_map_print_polylib((struct isl_map *)set, p, ext); 153} 154 155static int count_same_name(__isl_keep isl_space *dim, 156 enum isl_dim_type type, unsigned pos, const char *name) 157{ 158 enum isl_dim_type t; 159 unsigned p, s; 160 int count = 0; 161 162 for (t = isl_dim_param; t <= type && t <= isl_dim_out; ++t) { 163 s = t == type ? pos : isl_space_dim(dim, t); 164 for (p = 0; p < s; ++p) { 165 const char *n = isl_space_get_dim_name(dim, t, p); 166 if (n && !strcmp(n, name)) 167 count++; 168 } 169 } 170 return count; 171} 172 173static __isl_give isl_printer *print_name(__isl_keep isl_space *dim, 174 __isl_take isl_printer *p, enum isl_dim_type type, unsigned pos, 175 int latex) 176{ 177 const char *name; 178 char buffer[20]; 179 int primes; 180 181 name = type == isl_dim_div ? NULL : isl_space_get_dim_name(dim, type, pos); 182 183 if (!name) { 184 const char *prefix; 185 if (type == isl_dim_param) 186 prefix = s_param_prefix[latex]; 187 else if (type == isl_dim_div) 188 prefix = s_div_prefix[latex]; 189 else if (isl_space_is_set(dim) || type == isl_dim_in) 190 prefix = s_input_prefix[latex]; 191 else 192 prefix = s_output_prefix[latex]; 193 snprintf(buffer, sizeof(buffer), "%s%d", prefix, pos); 194 name = buffer; 195 } 196 primes = count_same_name(dim, name == buffer ? isl_dim_div : type, 197 pos, name); 198 p = isl_printer_print_str(p, name); 199 while (primes-- > 0) 200 p = isl_printer_print_str(p, "'"); 201 return p; 202} 203 204static enum isl_dim_type pos2type(__isl_keep isl_space *dim, unsigned *pos) 205{ 206 enum isl_dim_type type; 207 unsigned n_in = isl_space_dim(dim, isl_dim_in); 208 unsigned n_out = isl_space_dim(dim, isl_dim_out); 209 unsigned nparam = isl_space_dim(dim, isl_dim_param); 210 211 if (*pos < 1 + nparam) { 212 type = isl_dim_param; 213 *pos -= 1; 214 } else if (*pos < 1 + nparam + n_in) { 215 type = isl_dim_in; 216 *pos -= 1 + nparam; 217 } else if (*pos < 1 + nparam + n_in + n_out) { 218 type = isl_dim_out; 219 *pos -= 1 + nparam + n_in; 220 } else { 221 type = isl_dim_div; 222 *pos -= 1 + nparam + n_in + n_out; 223 } 224 225 return type; 226} 227 228static __isl_give isl_printer *print_div(__isl_keep isl_space *dim, 229 __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p); 230 231static __isl_give isl_printer *print_term(__isl_keep isl_space *dim, 232 __isl_keep isl_mat *div, 233 isl_int c, unsigned pos, __isl_take isl_printer *p, int latex) 234{ 235 enum isl_dim_type type; 236 int print_div_def; 237 238 if (pos == 0) 239 return isl_printer_print_isl_int(p, c); 240 241 type = pos2type(dim, &pos); 242 print_div_def = type == isl_dim_div && div && 243 !isl_int_is_zero(div->row[pos][0]); 244 245 if (isl_int_is_one(c)) 246 ; 247 else if (isl_int_is_negone(c)) 248 p = isl_printer_print_str(p, "-"); 249 else { 250 p = isl_printer_print_isl_int(p, c); 251 if (p->output_format == ISL_FORMAT_C || print_div_def) 252 p = isl_printer_print_str(p, "*"); 253 } 254 if (print_div_def) 255 p = print_div(dim, div, pos, p); 256 else 257 p = print_name(dim, p, type, pos, latex); 258 return p; 259} 260 261static __isl_give isl_printer *print_affine_of_len(__isl_keep isl_space *dim, 262 __isl_keep isl_mat *div, 263 __isl_take isl_printer *p, isl_int *c, int len) 264{ 265 int i; 266 int first; 267 268 for (i = 0, first = 1; i < len; ++i) { 269 int flip = 0; 270 if (isl_int_is_zero(c[i])) 271 continue; 272 if (!first) { 273 if (isl_int_is_neg(c[i])) { 274 flip = 1; 275 isl_int_neg(c[i], c[i]); 276 p = isl_printer_print_str(p, " - "); 277 } else 278 p = isl_printer_print_str(p, " + "); 279 } 280 first = 0; 281 p = print_term(dim, div, c[i], i, p, 0); 282 if (flip) 283 isl_int_neg(c[i], c[i]); 284 } 285 if (first) 286 p = isl_printer_print_str(p, "0"); 287 return p; 288} 289 290static __isl_give isl_printer *print_affine(__isl_keep isl_basic_map *bmap, 291 __isl_keep isl_space *dim, __isl_take isl_printer *p, isl_int *c) 292{ 293 unsigned len = 1 + isl_basic_map_total_dim(bmap); 294 return print_affine_of_len(dim, NULL, p, c, len); 295} 296 297static int defining_equality(__isl_keep isl_basic_map *eq, 298 __isl_keep isl_space *dim, enum isl_dim_type type, int pos) 299{ 300 int i; 301 unsigned total; 302 303 if (!eq) 304 return -1; 305 306 pos += isl_space_offset(dim, type); 307 total = isl_basic_map_total_dim(eq); 308 309 for (i = 0; i < eq->n_eq; ++i) { 310 if (isl_seq_last_non_zero(eq->eq[i] + 1, total) != pos) 311 continue; 312 if (isl_int_is_one(eq->eq[i][1 + pos])) 313 isl_seq_neg(eq->eq[i], eq->eq[i], 1 + total); 314 return i; 315 } 316 317 return -1; 318} 319 320static __isl_give isl_printer *print_aff_body(__isl_take isl_printer *p, 321 __isl_keep isl_aff *aff); 322 323/* offset is the offset of local_dim inside global_type of global_dim. 324 */ 325static __isl_give isl_printer *print_nested_var_list(__isl_take isl_printer *p, 326 __isl_keep isl_space *global_dim, enum isl_dim_type global_type, 327 __isl_keep isl_space *local_dim, enum isl_dim_type local_type, 328 int latex, __isl_keep isl_basic_map *eq, 329 __isl_keep isl_multi_aff *maff, int offset) 330{ 331 int i, j; 332 333 if (global_dim != local_dim && local_type == isl_dim_out) 334 offset += local_dim->n_in; 335 336 for (i = 0; i < isl_space_dim(local_dim, local_type); ++i) { 337 if (i) 338 p = isl_printer_print_str(p, ", "); 339 if (maff && global_type == isl_dim_out) { 340 p = print_aff_body(p, maff->p[offset + i]); 341 continue; 342 } 343 j = defining_equality(eq, global_dim, global_type, offset + i); 344 if (j >= 0) { 345 int pos = 1 + isl_space_offset(global_dim, global_type) 346 + offset + i; 347 p = print_affine_of_len(eq->dim, NULL, 348 p, eq->eq[j], pos); 349 } else { 350 p = print_name(global_dim, p, global_type, offset + i, 351 latex); 352 } 353 } 354 return p; 355} 356 357static __isl_give isl_printer *print_var_list(__isl_keep isl_space *dim, 358 __isl_take isl_printer *p, enum isl_dim_type type, 359 int latex, __isl_keep isl_basic_map *eq, __isl_keep isl_multi_aff *maff) 360{ 361 return print_nested_var_list(p, dim, type, dim, type, latex, 362 eq, maff, 0); 363} 364 365static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p, 366 __isl_keep isl_space *global_dim, enum isl_dim_type global_type, 367 __isl_keep isl_space *local_dim, 368 int latex, __isl_keep isl_basic_map *eq, 369 __isl_keep isl_multi_aff *maff, int offset); 370 371static __isl_give isl_printer *print_nested_tuple(__isl_take isl_printer *p, 372 __isl_keep isl_space *global_dim, enum isl_dim_type global_type, 373 __isl_keep isl_space *local_dim, enum isl_dim_type local_type, 374 int latex, __isl_keep isl_basic_map *eq, 375 __isl_keep isl_multi_aff *maff, int offset) 376{ 377 const char *name = NULL; 378 unsigned n = isl_space_dim(local_dim, local_type); 379 if ((local_type == isl_dim_in || local_type == isl_dim_out)) { 380 name = isl_space_get_tuple_name(local_dim, local_type); 381 if (name) { 382 if (latex) 383 p = isl_printer_print_str(p, "\\mathrm{"); 384 p = isl_printer_print_str(p, name); 385 if (latex) 386 p = isl_printer_print_str(p, "}"); 387 } 388 } 389 if (!latex || n != 1 || name) 390 p = isl_printer_print_str(p, s_open_list[latex]); 391 if ((local_type == isl_dim_in || local_type == isl_dim_out) && 392 local_dim->nested[local_type - isl_dim_in]) { 393 if (global_dim != local_dim && local_type == isl_dim_out) 394 offset += local_dim->n_in; 395 p = print_nested_map_dim(p, global_dim, global_type, 396 local_dim->nested[local_type - isl_dim_in], 397 latex, eq, maff, offset); 398 } else 399 p = print_nested_var_list(p, global_dim, global_type, 400 local_dim, local_type, latex, 401 eq, maff, offset); 402 if (!latex || n != 1 || name) 403 p = isl_printer_print_str(p, s_close_list[latex]); 404 return p; 405} 406 407static __isl_give isl_printer *print_tuple(__isl_keep isl_space *dim, 408 __isl_take isl_printer *p, enum isl_dim_type type, 409 int latex, __isl_keep isl_basic_map *eq, __isl_keep isl_multi_aff *maff) 410{ 411 return print_nested_tuple(p, dim, type, dim, type, latex, eq, maff, 0); 412} 413 414static __isl_give isl_printer *print_nested_map_dim(__isl_take isl_printer *p, 415 __isl_keep isl_space *global_dim, enum isl_dim_type global_type, 416 __isl_keep isl_space *local_dim, 417 int latex, __isl_keep isl_basic_map *eq, 418 __isl_keep isl_multi_aff *maff, int offset) 419{ 420 p = print_nested_tuple(p, global_dim, global_type, 421 local_dim, isl_dim_in, latex, eq, maff, offset); 422 p = isl_printer_print_str(p, s_to[latex]); 423 p = print_nested_tuple(p, global_dim, global_type, 424 local_dim, isl_dim_out, latex, eq, maff, offset); 425 426 return p; 427} 428 429static __isl_give isl_printer *print_space(__isl_keep isl_space *dim, 430 __isl_take isl_printer *p, int latex, int rational, 431 __isl_keep isl_basic_map *eq, __isl_keep isl_multi_aff *maff) 432{ 433 if (rational && !latex) 434 p = isl_printer_print_str(p, "rat: "); 435 if (isl_space_is_params(dim)) 436 ; 437 else if (isl_space_is_set(dim)) 438 p = print_tuple(dim, p, isl_dim_set, latex, eq, maff); 439 else { 440 p = print_tuple(dim, p, isl_dim_in, latex, eq, maff); 441 p = isl_printer_print_str(p, s_to[latex]); 442 p = print_tuple(dim, p, isl_dim_out, latex, eq, maff); 443 } 444 445 return p; 446} 447 448static __isl_give isl_printer *print_omega_parameters(__isl_keep isl_space *dim, 449 __isl_take isl_printer *p) 450{ 451 if (isl_space_dim(dim, isl_dim_param) == 0) 452 return p; 453 454 p = isl_printer_start_line(p); 455 p = isl_printer_print_str(p, "symbolic "); 456 p = print_var_list(dim, p, isl_dim_param, 0, NULL, NULL); 457 p = isl_printer_print_str(p, ";"); 458 p = isl_printer_end_line(p); 459 return p; 460} 461 462static __isl_give isl_printer *print_constraint(struct isl_basic_map *bmap, 463 __isl_keep isl_space *dim, __isl_take isl_printer *p, 464 isl_int *c, int last, const char *op, int first_constraint, int latex) 465{ 466 if (!first_constraint) 467 p = isl_printer_print_str(p, s_and[latex]); 468 469 isl_int_abs(c[last], c[last]); 470 471 p = print_term(dim, NULL, c[last], last, p, latex); 472 473 p = isl_printer_print_str(p, " "); 474 p = isl_printer_print_str(p, op); 475 p = isl_printer_print_str(p, " "); 476 477 isl_int_set_si(c[last], 0); 478 p = print_affine(bmap, dim, p, c); 479 480 return p; 481} 482 483static __isl_give isl_printer *print_constraints(__isl_keep isl_basic_map *bmap, 484 __isl_keep isl_space *dim, __isl_take isl_printer *p, int latex) 485{ 486 int i; 487 struct isl_vec *c; 488 unsigned total = isl_basic_map_total_dim(bmap); 489 490 c = isl_vec_alloc(bmap->ctx, 1 + total); 491 if (!c) 492 goto error; 493 494 for (i = bmap->n_eq - 1; i >= 0; --i) { 495 int l = isl_seq_last_non_zero(bmap->eq[i], 1 + total); 496 if (l < 0) { 497 if (i != bmap->n_eq - 1) 498 p = isl_printer_print_str(p, s_and[latex]); 499 p = isl_printer_print_str(p, "0 = 0"); 500 continue; 501 } 502 if (isl_int_is_neg(bmap->eq[i][l])) 503 isl_seq_cpy(c->el, bmap->eq[i], 1 + total); 504 else 505 isl_seq_neg(c->el, bmap->eq[i], 1 + total); 506 p = print_constraint(bmap, dim, p, c->el, l, 507 "=", i == bmap->n_eq - 1, latex); 508 } 509 for (i = 0; i < bmap->n_ineq; ++i) { 510 int l = isl_seq_last_non_zero(bmap->ineq[i], 1 + total); 511 int s; 512 const char *op; 513 if (l < 0) 514 continue; 515 s = isl_int_sgn(bmap->ineq[i][l]); 516 if (s < 0) 517 isl_seq_cpy(c->el, bmap->ineq[i], 1 + total); 518 else 519 isl_seq_neg(c->el, bmap->ineq[i], 1 + total); 520 op = s < 0 ? s_le[latex] : s_ge[latex]; 521 p = print_constraint(bmap, dim, p, c->el, l, 522 op, !bmap->n_eq && !i, latex); 523 } 524 525 isl_vec_free(c); 526 527 return p; 528error: 529 isl_vec_free(c); 530 isl_printer_free(p); 531 return NULL; 532} 533 534static __isl_give isl_printer *print_omega_constraints( 535 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p) 536{ 537 if (bmap->n_eq + bmap->n_ineq == 0) 538 return p; 539 540 p = isl_printer_print_str(p, ": "); 541 if (bmap->n_div > 0) { 542 int i; 543 p = isl_printer_print_str(p, "exists ("); 544 for (i = 0; i < bmap->n_div; ++i) { 545 if (i) 546 p = isl_printer_print_str(p, ", "); 547 p = print_name(bmap->dim, p, isl_dim_div, i, 0); 548 } 549 p = isl_printer_print_str(p, ": "); 550 } 551 p = print_constraints(bmap, bmap->dim, p, 0); 552 if (bmap->n_div > 0) 553 p = isl_printer_print_str(p, ")"); 554 return p; 555} 556 557static __isl_give isl_printer *basic_map_print_omega( 558 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p) 559{ 560 p = isl_printer_print_str(p, "{ ["); 561 p = print_var_list(bmap->dim, p, isl_dim_in, 0, NULL, NULL); 562 p = isl_printer_print_str(p, "] -> ["); 563 p = print_var_list(bmap->dim, p, isl_dim_out, 0, NULL, NULL); 564 p = isl_printer_print_str(p, "] "); 565 p = print_omega_constraints(bmap, p); 566 p = isl_printer_print_str(p, " }"); 567 return p; 568} 569 570static __isl_give isl_printer *basic_set_print_omega( 571 __isl_keep isl_basic_set *bset, __isl_take isl_printer *p) 572{ 573 p = isl_printer_print_str(p, "{ ["); 574 p = print_var_list(bset->dim, p, isl_dim_set, 0, NULL, NULL); 575 p = isl_printer_print_str(p, "] "); 576 p = print_omega_constraints((isl_basic_map *)bset, p); 577 p = isl_printer_print_str(p, " }"); 578 return p; 579} 580 581static __isl_give isl_printer *isl_map_print_omega(__isl_keep isl_map *map, 582 __isl_take isl_printer *p) 583{ 584 int i; 585 586 for (i = 0; i < map->n; ++i) { 587 if (i) 588 p = isl_printer_print_str(p, " union "); 589 p = basic_map_print_omega(map->p[i], p); 590 } 591 return p; 592} 593 594static __isl_give isl_printer *isl_set_print_omega(__isl_keep isl_set *set, 595 __isl_take isl_printer *p) 596{ 597 int i; 598 599 for (i = 0; i < set->n; ++i) { 600 if (i) 601 p = isl_printer_print_str(p, " union "); 602 p = basic_set_print_omega(set->p[i], p); 603 } 604 return p; 605} 606 607static __isl_give isl_printer *print_disjunct(__isl_keep isl_basic_map *bmap, 608 __isl_keep isl_space *dim, __isl_take isl_printer *p, int latex) 609{ 610 if (bmap->n_div > 0) { 611 int i; 612 p = isl_printer_print_str(p, s_open_exists[latex]); 613 for (i = 0; i < bmap->n_div; ++i) { 614 if (i) 615 p = isl_printer_print_str(p, ", "); 616 p = print_name(dim, p, isl_dim_div, i, latex); 617 if (latex || isl_int_is_zero(bmap->div[i][0])) 618 continue; 619 p = isl_printer_print_str(p, " = [("); 620 p = print_affine(bmap, dim, p, bmap->div[i] + 1); 621 p = isl_printer_print_str(p, ")/"); 622 p = isl_printer_print_isl_int(p, bmap->div[i][0]); 623 p = isl_printer_print_str(p, "]"); 624 } 625 p = isl_printer_print_str(p, ": "); 626 } 627 628 p = print_constraints(bmap, dim, p, latex); 629 630 if (bmap->n_div > 0) 631 p = isl_printer_print_str(p, s_close_exists[latex]); 632 return p; 633} 634 635static __isl_give isl_printer *isl_basic_map_print_isl( 636 __isl_keep isl_basic_map *bmap, __isl_take isl_printer *p, 637 int latex) 638{ 639 int rational = ISL_F_ISSET(bmap, ISL_BASIC_MAP_RATIONAL); 640 if (isl_basic_map_dim(bmap, isl_dim_param) > 0) { 641 p = print_tuple(bmap->dim, p, isl_dim_param, latex, NULL, NULL); 642 p = isl_printer_print_str(p, " -> "); 643 } 644 p = isl_printer_print_str(p, "{ "); 645 p = print_space(bmap->dim, p, latex, rational, NULL, NULL); 646 p = isl_printer_print_str(p, " : "); 647 p = print_disjunct(bmap, bmap->dim, p, latex); 648 p = isl_printer_print_str(p, " }"); 649 return p; 650} 651 652static __isl_give isl_printer *print_disjuncts(__isl_keep isl_map *map, 653 __isl_take isl_printer *p, int latex) 654{ 655 int i; 656 657 if (isl_map_plain_is_universe(map)) 658 return p; 659 660 p = isl_printer_print_str(p, s_such_that[latex]); 661 if (map->n == 0) 662 p = isl_printer_print_str(p, "1 = 0"); 663 for (i = 0; i < map->n; ++i) { 664 if (i) 665 p = isl_printer_print_str(p, s_or[latex]); 666 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1) 667 p = isl_printer_print_str(p, "("); 668 p = print_disjunct(map->p[i], map->dim, p, latex); 669 if (map->n > 1 && map->p[i]->n_eq + map->p[i]->n_ineq > 1) 670 p = isl_printer_print_str(p, ")"); 671 } 672 return p; 673} 674 675/* Print the disjuncts of a map (or set). 676 * If the map turns out to be a universal parameter domain, then 677 * we need to print the colon. Otherwise, the output looks identical 678 * to the empty set. 679 */ 680static __isl_give isl_printer *print_disjuncts_map(__isl_keep isl_map *map, 681 __isl_take isl_printer *p, int latex) 682{ 683 if (isl_map_plain_is_universe(map) && isl_space_is_params(map->dim)) 684 return isl_printer_print_str(p, s_such_that[latex]); 685 else 686 return print_disjuncts(map, p, latex); 687} 688 689struct isl_aff_split { 690 isl_basic_map *aff; 691 isl_map *map; 692}; 693 694static void free_split(__isl_take struct isl_aff_split *split, int n) 695{ 696 int i; 697 698 if (!split) 699 return; 700 701 for (i = 0; i < n; ++i) { 702 isl_basic_map_free(split[i].aff); 703 isl_map_free(split[i].map); 704 } 705 706 free(split); 707} 708 709static __isl_give isl_basic_map *get_aff(__isl_take isl_basic_map *bmap) 710{ 711 int i, j; 712 unsigned nparam, n_in, n_out, total; 713 714 bmap = isl_basic_map_cow(bmap); 715 if (!bmap) 716 return NULL; 717 if (isl_basic_map_free_inequality(bmap, bmap->n_ineq) < 0) 718 goto error; 719 720 nparam = isl_basic_map_dim(bmap, isl_dim_param); 721 n_in = isl_basic_map_dim(bmap, isl_dim_in); 722 n_out = isl_basic_map_dim(bmap, isl_dim_out); 723 total = isl_basic_map_dim(bmap, isl_dim_all); 724 for (i = bmap->n_eq - 1; i >= 0; --i) { 725 j = isl_seq_last_non_zero(bmap->eq[i] + 1, total); 726 if (j >= nparam && j < nparam + n_in + n_out && 727 (isl_int_is_one(bmap->eq[i][1 + j]) || 728 isl_int_is_negone(bmap->eq[i][1 + j]))) 729 continue; 730 if (isl_basic_map_drop_equality(bmap, i) < 0) 731 goto error; 732 } 733 734 bmap = isl_basic_map_finalize(bmap); 735 736 return bmap; 737error: 738 isl_basic_map_free(bmap); 739 return NULL; 740} 741 742static int aff_split_cmp(const void *p1, const void *p2, void *user) 743{ 744 const struct isl_aff_split *s1, *s2; 745 s1 = (const struct isl_aff_split *) p1; 746 s2 = (const struct isl_aff_split *) p2; 747 748 return isl_basic_map_plain_cmp(s1->aff, s2->aff); 749} 750 751static __isl_give isl_basic_map *drop_aff(__isl_take isl_basic_map *bmap, 752 __isl_keep isl_basic_map *aff) 753{ 754 int i, j; 755 unsigned total; 756 757 if (!bmap || !aff) 758 goto error; 759 760 total = isl_space_dim(bmap->dim, isl_dim_all); 761 762 for (i = bmap->n_eq - 1; i >= 0; --i) { 763 if (isl_seq_first_non_zero(bmap->eq[i] + 1 + total, 764 bmap->n_div) != -1) 765 continue; 766 for (j = 0; j < aff->n_eq; ++j) { 767 if (!isl_seq_eq(bmap->eq[i], aff->eq[j], 1 + total) && 768 !isl_seq_is_neg(bmap->eq[i], aff->eq[j], 1 + total)) 769 continue; 770 if (isl_basic_map_drop_equality(bmap, i) < 0) 771 goto error; 772 break; 773 } 774 } 775 776 return bmap; 777error: 778 isl_basic_map_free(bmap); 779 return NULL; 780} 781 782static __isl_give struct isl_aff_split *split_aff(__isl_keep isl_map *map) 783{ 784 int i, n; 785 struct isl_aff_split *split; 786 isl_ctx *ctx; 787 788 ctx = isl_map_get_ctx(map); 789 split = isl_calloc_array(ctx, struct isl_aff_split, map->n); 790 if (!split) 791 return NULL; 792 793 for (i = 0; i < map->n; ++i) { 794 isl_basic_map *bmap; 795 split[i].aff = get_aff(isl_basic_map_copy(map->p[i])); 796 bmap = isl_basic_map_copy(map->p[i]); 797 bmap = isl_basic_map_cow(bmap); 798 bmap = drop_aff(bmap, split[i].aff); 799 split[i].map = isl_map_from_basic_map(bmap); 800 if (!split[i].aff || !split[i].map) 801 goto error; 802 } 803 804 if (isl_sort(split, map->n, sizeof(struct isl_aff_split), 805 &aff_split_cmp, NULL) < 0) 806 goto error; 807 808 n = map->n; 809 for (i = n - 1; i >= 1; --i) { 810 if (!isl_basic_map_plain_is_equal(split[i - 1].aff, 811 split[i].aff)) 812 continue; 813 isl_basic_map_free(split[i].aff); 814 split[i - 1].map = isl_map_union(split[i - 1].map, 815 split[i].map); 816 if (i != n - 1) 817 split[i] = split[n - 1]; 818 split[n - 1].aff = NULL; 819 split[n - 1].map = NULL; 820 --n; 821 } 822 823 return split; 824error: 825 free_split(split, map->n); 826 return NULL; 827} 828 829static __isl_give isl_printer *print_split_map(__isl_take isl_printer *p, 830 struct isl_aff_split *split, int n) 831{ 832 int i; 833 int rational; 834 835 for (i = 0; i < n; ++i) { 836 isl_space *dim; 837 838 if (!split[i].map) 839 break; 840 dim = split[i].map->dim; 841 rational = split[i].map->n > 0 && 842 ISL_F_ISSET(split[i].map->p[0], ISL_BASIC_MAP_RATIONAL); 843 if (i) 844 p = isl_printer_print_str(p, "; "); 845 p = print_space(dim, p, 0, rational, split[i].aff, NULL); 846 p = print_disjuncts_map(split[i].map, p, 0); 847 } 848 849 return p; 850} 851 852static __isl_give isl_printer *isl_map_print_isl_body(__isl_keep isl_map *map, 853 __isl_take isl_printer *p) 854{ 855 struct isl_aff_split *split = NULL; 856 int rational; 857 858 if (map->n > 0) 859 split = split_aff(map); 860 if (split) { 861 p = print_split_map(p, split, map->n); 862 } else { 863 rational = map->n > 0 && 864 ISL_F_ISSET(map->p[0], ISL_BASIC_MAP_RATIONAL); 865 p = print_space(map->dim, p, 0, rational, NULL, NULL); 866 p = print_disjuncts_map(map, p, 0); 867 } 868 free_split(split, map->n); 869 return p; 870} 871 872static __isl_give isl_printer *isl_map_print_isl(__isl_keep isl_map *map, 873 __isl_take isl_printer *p) 874{ 875 if (isl_map_dim(map, isl_dim_param) > 0) { 876 p = print_tuple(map->dim, p, isl_dim_param, 0, NULL, NULL); 877 p = isl_printer_print_str(p, s_to[0]); 878 } 879 p = isl_printer_print_str(p, s_open_set[0]); 880 p = isl_map_print_isl_body(map, p); 881 p = isl_printer_print_str(p, s_close_set[0]); 882 return p; 883} 884 885static __isl_give isl_printer *print_latex_map(__isl_keep isl_map *map, 886 __isl_take isl_printer *p, __isl_keep isl_basic_map *aff) 887{ 888 if (isl_map_dim(map, isl_dim_param) > 0) { 889 p = print_tuple(map->dim, p, isl_dim_param, 1, NULL, NULL); 890 p = isl_printer_print_str(p, s_to[1]); 891 } 892 p = isl_printer_print_str(p, s_open_set[1]); 893 p = print_space(map->dim, p, 1, 0, aff, NULL); 894 p = print_disjuncts_map(map, p, 1); 895 p = isl_printer_print_str(p, s_close_set[1]); 896 897 return p; 898} 899 900static __isl_give isl_printer *isl_map_print_latex(__isl_keep isl_map *map, 901 __isl_take isl_printer *p) 902{ 903 int i; 904 struct isl_aff_split *split = NULL; 905 906 if (map->n > 0) 907 split = split_aff(map); 908 909 if (!split) 910 return print_latex_map(map, p, NULL); 911 912 for (i = 0; i < map->n; ++i) { 913 if (!split[i].map) 914 break; 915 if (i) 916 p = isl_printer_print_str(p, " \\cup "); 917 p = print_latex_map(split[i].map, p, split[i].aff); 918 } 919 920 free_split(split, map->n); 921 return p; 922} 923 924__isl_give isl_printer *isl_printer_print_basic_map(__isl_take isl_printer *p, 925 __isl_keep isl_basic_map *bmap) 926{ 927 if (!p || !bmap) 928 goto error; 929 if (p->output_format == ISL_FORMAT_ISL) 930 return isl_basic_map_print_isl(bmap, p, 0); 931 else if (p->output_format == ISL_FORMAT_OMEGA) 932 return basic_map_print_omega(bmap, p); 933 isl_assert(bmap->ctx, 0, goto error); 934error: 935 isl_printer_free(p); 936 return NULL; 937} 938 939void isl_basic_map_print(__isl_keep isl_basic_map *bmap, FILE *out, int indent, 940 const char *prefix, const char *suffix, unsigned output_format) 941{ 942 isl_printer *printer; 943 944 if (!bmap) 945 return; 946 947 printer = isl_printer_to_file(bmap->ctx, out); 948 printer = isl_printer_set_indent(printer, indent); 949 printer = isl_printer_set_prefix(printer, prefix); 950 printer = isl_printer_set_suffix(printer, suffix); 951 printer = isl_printer_set_output_format(printer, output_format); 952 isl_printer_print_basic_map(printer, bmap); 953 954 isl_printer_free(printer); 955} 956 957__isl_give isl_printer *isl_printer_print_basic_set(__isl_take isl_printer *p, 958 __isl_keep isl_basic_set *bset) 959{ 960 if (!p || !bset) 961 goto error; 962 963 if (p->output_format == ISL_FORMAT_ISL) 964 return isl_basic_map_print_isl(bset, p, 0); 965 else if (p->output_format == ISL_FORMAT_POLYLIB) 966 return isl_basic_set_print_polylib(bset, p, 0); 967 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB) 968 return isl_basic_set_print_polylib(bset, p, 1); 969 else if (p->output_format == ISL_FORMAT_POLYLIB_CONSTRAINTS) 970 return bset_print_constraints_polylib(bset, p); 971 else if (p->output_format == ISL_FORMAT_OMEGA) 972 return basic_set_print_omega(bset, p); 973 isl_assert(p->ctx, 0, goto error); 974error: 975 isl_printer_free(p); 976 return NULL; 977} 978 979void isl_basic_set_print(struct isl_basic_set *bset, FILE *out, int indent, 980 const char *prefix, const char *suffix, unsigned output_format) 981{ 982 isl_printer *printer; 983 984 if (!bset) 985 return; 986 987 printer = isl_printer_to_file(bset->ctx, out); 988 printer = isl_printer_set_indent(printer, indent); 989 printer = isl_printer_set_prefix(printer, prefix); 990 printer = isl_printer_set_suffix(printer, suffix); 991 printer = isl_printer_set_output_format(printer, output_format); 992 isl_printer_print_basic_set(printer, bset); 993 994 isl_printer_free(printer); 995} 996 997__isl_give isl_printer *isl_printer_print_set(__isl_take isl_printer *p, 998 __isl_keep isl_set *set) 999{ 1000 if (!p || !set) 1001 goto error; 1002 if (p->output_format == ISL_FORMAT_ISL) 1003 return isl_map_print_isl((isl_map *)set, p); 1004 else if (p->output_format == ISL_FORMAT_POLYLIB) 1005 return isl_set_print_polylib(set, p, 0); 1006 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB) 1007 return isl_set_print_polylib(set, p, 1); 1008 else if (p->output_format == ISL_FORMAT_OMEGA) 1009 return isl_set_print_omega(set, p); 1010 else if (p->output_format == ISL_FORMAT_LATEX) 1011 return isl_map_print_latex((isl_map *)set, p); 1012 isl_assert(set->ctx, 0, goto error); 1013error: 1014 isl_printer_free(p); 1015 return NULL; 1016} 1017 1018void isl_set_print(struct isl_set *set, FILE *out, int indent, 1019 unsigned output_format) 1020{ 1021 isl_printer *printer; 1022 1023 if (!set) 1024 return; 1025 1026 printer = isl_printer_to_file(set->ctx, out); 1027 printer = isl_printer_set_indent(printer, indent); 1028 printer = isl_printer_set_output_format(printer, output_format); 1029 printer = isl_printer_print_set(printer, set); 1030 1031 isl_printer_free(printer); 1032} 1033 1034__isl_give isl_printer *isl_printer_print_map(__isl_take isl_printer *p, 1035 __isl_keep isl_map *map) 1036{ 1037 if (!p || !map) 1038 goto error; 1039 1040 if (p->output_format == ISL_FORMAT_ISL) 1041 return isl_map_print_isl(map, p); 1042 else if (p->output_format == ISL_FORMAT_POLYLIB) 1043 return isl_map_print_polylib(map, p, 0); 1044 else if (p->output_format == ISL_FORMAT_EXT_POLYLIB) 1045 return isl_map_print_polylib(map, p, 1); 1046 else if (p->output_format == ISL_FORMAT_OMEGA) 1047 return isl_map_print_omega(map, p); 1048 else if (p->output_format == ISL_FORMAT_LATEX) 1049 return isl_map_print_latex(map, p); 1050 isl_assert(map->ctx, 0, goto error); 1051error: 1052 isl_printer_free(p); 1053 return NULL; 1054} 1055 1056struct isl_union_print_data { 1057 isl_printer *p; 1058 int first; 1059}; 1060 1061static int print_map_body(__isl_take isl_map *map, void *user) 1062{ 1063 struct isl_union_print_data *data; 1064 data = (struct isl_union_print_data *)user; 1065 1066 if (!data->first) 1067 data->p = isl_printer_print_str(data->p, "; "); 1068 data->first = 0; 1069 1070 data->p = isl_map_print_isl_body(map, data->p); 1071 isl_map_free(map); 1072 1073 return 0; 1074} 1075 1076static __isl_give isl_printer *isl_union_map_print_isl( 1077 __isl_keep isl_union_map *umap, __isl_take isl_printer *p) 1078{ 1079 struct isl_union_print_data data = { p, 1 }; 1080 isl_space *dim; 1081 dim = isl_union_map_get_space(umap); 1082 if (isl_space_dim(dim, isl_dim_param) > 0) { 1083 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL); 1084 p = isl_printer_print_str(p, s_to[0]); 1085 } 1086 isl_space_free(dim); 1087 p = isl_printer_print_str(p, s_open_set[0]); 1088 isl_union_map_foreach_map(umap, &print_map_body, &data); 1089 p = data.p; 1090 p = isl_printer_print_str(p, s_close_set[0]); 1091 return p; 1092} 1093 1094static int print_latex_map_body(__isl_take isl_map *map, void *user) 1095{ 1096 struct isl_union_print_data *data; 1097 data = (struct isl_union_print_data *)user; 1098 1099 if (!data->first) 1100 data->p = isl_printer_print_str(data->p, " \\cup "); 1101 data->first = 0; 1102 1103 data->p = isl_map_print_latex(map, data->p); 1104 isl_map_free(map); 1105 1106 return 0; 1107} 1108 1109static __isl_give isl_printer *isl_union_map_print_latex( 1110 __isl_keep isl_union_map *umap, __isl_take isl_printer *p) 1111{ 1112 struct isl_union_print_data data = { p, 1 }; 1113 isl_union_map_foreach_map(umap, &print_latex_map_body, &data); 1114 p = data.p; 1115 return p; 1116} 1117 1118__isl_give isl_printer *isl_printer_print_union_map(__isl_take isl_printer *p, 1119 __isl_keep isl_union_map *umap) 1120{ 1121 if (!p || !umap) 1122 goto error; 1123 1124 if (p->output_format == ISL_FORMAT_ISL) 1125 return isl_union_map_print_isl(umap, p); 1126 if (p->output_format == ISL_FORMAT_LATEX) 1127 return isl_union_map_print_latex(umap, p); 1128 1129 isl_die(p->ctx, isl_error_invalid, 1130 "invalid output format for isl_union_map", goto error); 1131error: 1132 isl_printer_free(p); 1133 return NULL; 1134} 1135 1136__isl_give isl_printer *isl_printer_print_union_set(__isl_take isl_printer *p, 1137 __isl_keep isl_union_set *uset) 1138{ 1139 if (!p || !uset) 1140 goto error; 1141 1142 if (p->output_format == ISL_FORMAT_ISL) 1143 return isl_union_map_print_isl((isl_union_map *)uset, p); 1144 if (p->output_format == ISL_FORMAT_LATEX) 1145 return isl_union_map_print_latex((isl_union_map *)uset, p); 1146 1147 isl_die(p->ctx, isl_error_invalid, 1148 "invalid output format for isl_union_set", goto error); 1149error: 1150 isl_printer_free(p); 1151 return NULL; 1152} 1153 1154void isl_map_print(__isl_keep isl_map *map, FILE *out, int indent, 1155 unsigned output_format) 1156{ 1157 isl_printer *printer; 1158 1159 if (!map) 1160 return; 1161 1162 printer = isl_printer_to_file(map->ctx, out); 1163 printer = isl_printer_set_indent(printer, indent); 1164 printer = isl_printer_set_output_format(printer, output_format); 1165 printer = isl_printer_print_map(printer, map); 1166 1167 isl_printer_free(printer); 1168} 1169 1170static int upoly_rec_n_non_zero(__isl_keep struct isl_upoly_rec *rec) 1171{ 1172 int i; 1173 int n; 1174 1175 for (i = 0, n = 0; i < rec->n; ++i) 1176 if (!isl_upoly_is_zero(rec->p[i])) 1177 ++n; 1178 1179 return n; 1180} 1181 1182static __isl_give isl_printer *print_div(__isl_keep isl_space *dim, 1183 __isl_keep isl_mat *div, int pos, __isl_take isl_printer *p) 1184{ 1185 int c = p->output_format == ISL_FORMAT_C; 1186 p = isl_printer_print_str(p, c ? "floord(" : "[("); 1187 p = print_affine_of_len(dim, div, p, 1188 div->row[pos] + 1, div->n_col - 1); 1189 p = isl_printer_print_str(p, c ? ", " : ")/"); 1190 p = isl_printer_print_isl_int(p, div->row[pos][0]); 1191 p = isl_printer_print_str(p, c ? ")" : "]"); 1192 return p; 1193} 1194 1195static __isl_give isl_printer *upoly_print_cst(__isl_keep struct isl_upoly *up, 1196 __isl_take isl_printer *p, int first) 1197{ 1198 struct isl_upoly_cst *cst; 1199 int neg; 1200 1201 cst = isl_upoly_as_cst(up); 1202 if (!cst) 1203 goto error; 1204 neg = !first && isl_int_is_neg(cst->n); 1205 if (!first) 1206 p = isl_printer_print_str(p, neg ? " - " : " + "); 1207 if (neg) 1208 isl_int_neg(cst->n, cst->n); 1209 if (isl_int_is_zero(cst->d)) { 1210 int sgn = isl_int_sgn(cst->n); 1211 p = isl_printer_print_str(p, sgn < 0 ? "-infty" : 1212 sgn == 0 ? "NaN" : "infty"); 1213 } else 1214 p = isl_printer_print_isl_int(p, cst->n); 1215 if (neg) 1216 isl_int_neg(cst->n, cst->n); 1217 if (!isl_int_is_zero(cst->d) && !isl_int_is_one(cst->d)) { 1218 p = isl_printer_print_str(p, "/"); 1219 p = isl_printer_print_isl_int(p, cst->d); 1220 } 1221 return p; 1222error: 1223 isl_printer_free(p); 1224 return NULL; 1225} 1226 1227static __isl_give isl_printer *print_base(__isl_take isl_printer *p, 1228 __isl_keep isl_space *dim, __isl_keep isl_mat *div, int var) 1229{ 1230 unsigned total; 1231 1232 total = isl_space_dim(dim, isl_dim_all); 1233 if (var < total) 1234 p = print_term(dim, NULL, dim->ctx->one, 1 + var, p, 0); 1235 else 1236 p = print_div(dim, div, var - total, p); 1237 return p; 1238} 1239 1240static __isl_give isl_printer *print_pow(__isl_take isl_printer *p, 1241 __isl_keep isl_space *dim, __isl_keep isl_mat *div, int var, int exp) 1242{ 1243 p = print_base(p, dim, div, var); 1244 if (exp == 1) 1245 return p; 1246 if (p->output_format == ISL_FORMAT_C) { 1247 int i; 1248 for (i = 1; i < exp; ++i) { 1249 p = isl_printer_print_str(p, "*"); 1250 p = print_base(p, dim, div, var); 1251 } 1252 } else { 1253 p = isl_printer_print_str(p, "^"); 1254 p = isl_printer_print_int(p, exp); 1255 } 1256 return p; 1257} 1258 1259static __isl_give isl_printer *upoly_print(__isl_keep struct isl_upoly *up, 1260 __isl_keep isl_space *dim, __isl_keep isl_mat *div, 1261 __isl_take isl_printer *p, int outer) 1262{ 1263 int i, n, first, print_parens; 1264 struct isl_upoly_rec *rec; 1265 1266 if (!p || !up || !dim || !div) 1267 goto error; 1268 1269 if (isl_upoly_is_cst(up)) 1270 return upoly_print_cst(up, p, 1); 1271 1272 rec = isl_upoly_as_rec(up); 1273 if (!rec) 1274 goto error; 1275 n = upoly_rec_n_non_zero(rec); 1276 print_parens = n > 1 || 1277 (outer && rec->up.var >= isl_space_dim(dim, isl_dim_all)); 1278 if (print_parens) 1279 p = isl_printer_print_str(p, "("); 1280 for (i = 0, first = 1; i < rec->n; ++i) { 1281 if (isl_upoly_is_zero(rec->p[i])) 1282 continue; 1283 if (isl_upoly_is_negone(rec->p[i])) { 1284 if (!i) 1285 p = isl_printer_print_str(p, "-1"); 1286 else if (first) 1287 p = isl_printer_print_str(p, "-"); 1288 else 1289 p = isl_printer_print_str(p, " - "); 1290 } else if (isl_upoly_is_cst(rec->p[i]) && 1291 !isl_upoly_is_one(rec->p[i])) 1292 p = upoly_print_cst(rec->p[i], p, first); 1293 else { 1294 if (!first) 1295 p = isl_printer_print_str(p, " + "); 1296 if (i == 0 || !isl_upoly_is_one(rec->p[i])) 1297 p = upoly_print(rec->p[i], dim, div, p, 0); 1298 } 1299 first = 0; 1300 if (i == 0) 1301 continue; 1302 if (!isl_upoly_is_one(rec->p[i]) && 1303 !isl_upoly_is_negone(rec->p[i])) 1304 p = isl_printer_print_str(p, " * "); 1305 p = print_pow(p, dim, div, rec->up.var, i); 1306 } 1307 if (print_parens) 1308 p = isl_printer_print_str(p, ")"); 1309 return p; 1310error: 1311 isl_printer_free(p); 1312 return NULL; 1313} 1314 1315static __isl_give isl_printer *print_qpolynomial(__isl_take isl_printer *p, 1316 __isl_keep isl_qpolynomial *qp) 1317{ 1318 if (!p || !qp) 1319 goto error; 1320 p = upoly_print(qp->upoly, qp->dim, qp->div, p, 1); 1321 return p; 1322error: 1323 isl_printer_free(p); 1324 return NULL; 1325} 1326 1327static __isl_give isl_printer *print_qpolynomial_isl(__isl_take isl_printer *p, 1328 __isl_keep isl_qpolynomial *qp) 1329{ 1330 if (!p || !qp) 1331 goto error; 1332 1333 if (isl_space_dim(qp->dim, isl_dim_param) > 0) { 1334 p = print_tuple(qp->dim, p, isl_dim_param, 0, NULL, NULL); 1335 p = isl_printer_print_str(p, " -> "); 1336 } 1337 p = isl_printer_print_str(p, "{ "); 1338 if (!isl_space_is_params(qp->dim)) { 1339 p = print_space(qp->dim, p, 0, 0, NULL, NULL); 1340 p = isl_printer_print_str(p, " -> "); 1341 } 1342 p = print_qpolynomial(p, qp); 1343 p = isl_printer_print_str(p, " }"); 1344 return p; 1345error: 1346 isl_printer_free(p); 1347 return NULL; 1348} 1349 1350static __isl_give isl_printer *print_qpolynomial_c(__isl_take isl_printer *p, 1351 __isl_keep isl_space *dim, __isl_keep isl_qpolynomial *qp) 1352{ 1353 isl_int den; 1354 1355 isl_int_init(den); 1356 isl_qpolynomial_get_den(qp, &den); 1357 if (!isl_int_is_one(den)) { 1358 isl_qpolynomial *f; 1359 p = isl_printer_print_str(p, "("); 1360 qp = isl_qpolynomial_copy(qp); 1361 f = isl_qpolynomial_rat_cst_on_domain(isl_space_copy(qp->dim), 1362 den, qp->dim->ctx->one); 1363 qp = isl_qpolynomial_mul(qp, f); 1364 } 1365 if (qp) 1366 p = upoly_print(qp->upoly, dim, qp->div, p, 0); 1367 else 1368 p = isl_printer_free(p); 1369 if (!isl_int_is_one(den)) { 1370 p = isl_printer_print_str(p, ")/"); 1371 p = isl_printer_print_isl_int(p, den); 1372 isl_qpolynomial_free(qp); 1373 } 1374 isl_int_clear(den); 1375 return p; 1376} 1377 1378__isl_give isl_printer *isl_printer_print_qpolynomial( 1379 __isl_take isl_printer *p, __isl_keep isl_qpolynomial *qp) 1380{ 1381 if (!p || !qp) 1382 goto error; 1383 1384 if (p->output_format == ISL_FORMAT_ISL) 1385 return print_qpolynomial_isl(p, qp); 1386 else if (p->output_format == ISL_FORMAT_C) 1387 return print_qpolynomial_c(p, qp->dim, qp); 1388 else 1389 isl_die(qp->dim->ctx, isl_error_unsupported, 1390 "output format not supported for isl_qpolynomials", 1391 goto error); 1392error: 1393 isl_printer_free(p); 1394 return NULL; 1395} 1396 1397void isl_qpolynomial_print(__isl_keep isl_qpolynomial *qp, FILE *out, 1398 unsigned output_format) 1399{ 1400 isl_printer *p; 1401 1402 if (!qp) 1403 return; 1404 1405 isl_assert(qp->dim->ctx, output_format == ISL_FORMAT_ISL, return); 1406 p = isl_printer_to_file(qp->dim->ctx, out); 1407 p = isl_printer_print_qpolynomial(p, qp); 1408 isl_printer_free(p); 1409} 1410 1411static __isl_give isl_printer *qpolynomial_fold_print( 1412 __isl_keep isl_qpolynomial_fold *fold, __isl_take isl_printer *p) 1413{ 1414 int i; 1415 1416 if (fold->type == isl_fold_min) 1417 p = isl_printer_print_str(p, "min"); 1418 else if (fold->type == isl_fold_max) 1419 p = isl_printer_print_str(p, "max"); 1420 p = isl_printer_print_str(p, "("); 1421 for (i = 0; i < fold->n; ++i) { 1422 if (i) 1423 p = isl_printer_print_str(p, ", "); 1424 p = print_qpolynomial(p, fold->qp[i]); 1425 } 1426 p = isl_printer_print_str(p, ")"); 1427 return p; 1428} 1429 1430void isl_qpolynomial_fold_print(__isl_keep isl_qpolynomial_fold *fold, 1431 FILE *out, unsigned output_format) 1432{ 1433 isl_printer *p; 1434 1435 if (!fold) 1436 return; 1437 1438 isl_assert(fold->dim->ctx, output_format == ISL_FORMAT_ISL, return); 1439 1440 p = isl_printer_to_file(fold->dim->ctx, out); 1441 p = isl_printer_print_qpolynomial_fold(p, fold); 1442 1443 isl_printer_free(p); 1444} 1445 1446static __isl_give isl_printer *isl_pwqp_print_isl_body( 1447 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp) 1448{ 1449 int i = 0; 1450 1451 for (i = 0; i < pwqp->n; ++i) { 1452 if (i) 1453 p = isl_printer_print_str(p, "; "); 1454 if (!isl_space_is_params(pwqp->p[i].set->dim)) { 1455 p = print_space(pwqp->p[i].set->dim, p, 0, 0, NULL, NULL); 1456 p = isl_printer_print_str(p, " -> "); 1457 } 1458 p = print_qpolynomial(p, pwqp->p[i].qp); 1459 p = print_disjuncts((isl_map *)pwqp->p[i].set, p, 0); 1460 } 1461 1462 return p; 1463} 1464 1465static __isl_give isl_printer *print_pw_qpolynomial_isl( 1466 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp) 1467{ 1468 if (!p || !pwqp) 1469 goto error; 1470 1471 if (isl_space_dim(pwqp->dim, isl_dim_param) > 0) { 1472 p = print_tuple(pwqp->dim, p, isl_dim_param, 0, NULL, NULL); 1473 p = isl_printer_print_str(p, " -> "); 1474 } 1475 p = isl_printer_print_str(p, "{ "); 1476 if (pwqp->n == 0) { 1477 if (!isl_space_is_set(pwqp->dim)) { 1478 p = print_tuple(pwqp->dim, p, isl_dim_in, 0, NULL, NULL); 1479 p = isl_printer_print_str(p, " -> "); 1480 } 1481 p = isl_printer_print_str(p, "0"); 1482 } 1483 p = isl_pwqp_print_isl_body(p, pwqp); 1484 p = isl_printer_print_str(p, " }"); 1485 return p; 1486error: 1487 isl_printer_free(p); 1488 return NULL; 1489} 1490 1491void isl_pw_qpolynomial_print(__isl_keep isl_pw_qpolynomial *pwqp, FILE *out, 1492 unsigned output_format) 1493{ 1494 isl_printer *p; 1495 1496 if (!pwqp) 1497 return; 1498 1499 p = isl_printer_to_file(pwqp->dim->ctx, out); 1500 p = isl_printer_set_output_format(p, output_format); 1501 p = isl_printer_print_pw_qpolynomial(p, pwqp); 1502 1503 isl_printer_free(p); 1504} 1505 1506static __isl_give isl_printer *isl_pwf_print_isl_body( 1507 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf) 1508{ 1509 int i = 0; 1510 1511 for (i = 0; i < pwf->n; ++i) { 1512 if (i) 1513 p = isl_printer_print_str(p, "; "); 1514 if (!isl_space_is_params(pwf->p[i].set->dim)) { 1515 p = print_space(pwf->p[i].set->dim, p, 0, 0, NULL, NULL); 1516 p = isl_printer_print_str(p, " -> "); 1517 } 1518 p = qpolynomial_fold_print(pwf->p[i].fold, p); 1519 p = print_disjuncts((isl_map *)pwf->p[i].set, p, 0); 1520 } 1521 1522 return p; 1523} 1524 1525static __isl_give isl_printer *print_pw_qpolynomial_fold_isl( 1526 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf) 1527{ 1528 if (isl_space_dim(pwf->dim, isl_dim_param) > 0) { 1529 p = print_tuple(pwf->dim, p, isl_dim_param, 0, NULL, NULL); 1530 p = isl_printer_print_str(p, " -> "); 1531 } 1532 p = isl_printer_print_str(p, "{ "); 1533 if (pwf->n == 0) { 1534 if (!isl_space_is_set(pwf->dim)) { 1535 p = print_tuple(pwf->dim, p, isl_dim_in, 0, NULL, NULL); 1536 p = isl_printer_print_str(p, " -> "); 1537 } 1538 p = isl_printer_print_str(p, "0"); 1539 } 1540 p = isl_pwf_print_isl_body(p, pwf); 1541 p = isl_printer_print_str(p, " }"); 1542 return p; 1543} 1544 1545static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p, 1546 __isl_keep isl_space *dim, __isl_keep isl_basic_set *bset, isl_int *c); 1547 1548static __isl_give isl_printer *print_name_c(__isl_take isl_printer *p, 1549 __isl_keep isl_space *dim, 1550 __isl_keep isl_basic_set *bset, enum isl_dim_type type, unsigned pos) 1551{ 1552 if (type == isl_dim_div) { 1553 p = isl_printer_print_str(p, "floord("); 1554 p = print_affine_c(p, dim, bset, bset->div[pos] + 1); 1555 p = isl_printer_print_str(p, ", "); 1556 p = isl_printer_print_isl_int(p, bset->div[pos][0]); 1557 p = isl_printer_print_str(p, ")"); 1558 } else { 1559 const char *name; 1560 1561 name = isl_space_get_dim_name(dim, type, pos); 1562 if (!name) 1563 name = "UNNAMED"; 1564 p = isl_printer_print_str(p, name); 1565 } 1566 return p; 1567} 1568 1569static __isl_give isl_printer *print_term_c(__isl_take isl_printer *p, 1570 __isl_keep isl_space *dim, 1571 __isl_keep isl_basic_set *bset, isl_int c, unsigned pos) 1572{ 1573 enum isl_dim_type type; 1574 1575 if (pos == 0) 1576 return isl_printer_print_isl_int(p, c); 1577 1578 if (isl_int_is_one(c)) 1579 ; 1580 else if (isl_int_is_negone(c)) 1581 p = isl_printer_print_str(p, "-"); 1582 else { 1583 p = isl_printer_print_isl_int(p, c); 1584 p = isl_printer_print_str(p, "*"); 1585 } 1586 type = pos2type(dim, &pos); 1587 p = print_name_c(p, dim, bset, type, pos); 1588 return p; 1589} 1590 1591static __isl_give isl_printer *print_partial_affine_c(__isl_take isl_printer *p, 1592 __isl_keep isl_space *dim, 1593 __isl_keep isl_basic_set *bset, isl_int *c, unsigned len) 1594{ 1595 int i; 1596 int first; 1597 1598 for (i = 0, first = 1; i < len; ++i) { 1599 int flip = 0; 1600 if (isl_int_is_zero(c[i])) 1601 continue; 1602 if (!first) { 1603 if (isl_int_is_neg(c[i])) { 1604 flip = 1; 1605 isl_int_neg(c[i], c[i]); 1606 p = isl_printer_print_str(p, " - "); 1607 } else 1608 p = isl_printer_print_str(p, " + "); 1609 } 1610 first = 0; 1611 p = print_term_c(p, dim, bset, c[i], i); 1612 if (flip) 1613 isl_int_neg(c[i], c[i]); 1614 } 1615 if (first) 1616 p = isl_printer_print_str(p, "0"); 1617 return p; 1618} 1619 1620static __isl_give isl_printer *print_affine_c(__isl_take isl_printer *p, 1621 __isl_keep isl_space *dim, __isl_keep isl_basic_set *bset, isl_int *c) 1622{ 1623 unsigned len = 1 + isl_basic_set_total_dim(bset); 1624 return print_partial_affine_c(p, dim, bset, c, len); 1625} 1626 1627/* We skip the constraint if it is implied by the div expression. 1628 */ 1629static __isl_give isl_printer *print_constraint_c(__isl_take isl_printer *p, 1630 __isl_keep isl_space *dim, 1631 __isl_keep isl_basic_set *bset, isl_int *c, const char *op, int first) 1632{ 1633 unsigned o_div; 1634 unsigned n_div; 1635 int div; 1636 1637 o_div = isl_basic_set_offset(bset, isl_dim_div); 1638 n_div = isl_basic_set_dim(bset, isl_dim_div); 1639 div = isl_seq_last_non_zero(c + o_div, n_div); 1640 if (div >= 0 && isl_basic_set_is_div_constraint(bset, c, div)) 1641 return p; 1642 1643 if (!first) 1644 p = isl_printer_print_str(p, " && "); 1645 1646 p = print_affine_c(p, dim, bset, c); 1647 p = isl_printer_print_str(p, " "); 1648 p = isl_printer_print_str(p, op); 1649 p = isl_printer_print_str(p, " 0"); 1650 return p; 1651} 1652 1653static __isl_give isl_printer *print_basic_set_c(__isl_take isl_printer *p, 1654 __isl_keep isl_space *dim, __isl_keep isl_basic_set *bset) 1655{ 1656 int i, j; 1657 unsigned n_div = isl_basic_set_dim(bset, isl_dim_div); 1658 unsigned total = isl_basic_set_total_dim(bset) - n_div; 1659 1660 for (i = 0; i < bset->n_eq; ++i) { 1661 j = isl_seq_last_non_zero(bset->eq[i] + 1 + total, n_div); 1662 if (j < 0) 1663 p = print_constraint_c(p, dim, bset, 1664 bset->eq[i], "==", !i); 1665 else { 1666 if (i) 1667 p = isl_printer_print_str(p, " && "); 1668 p = isl_printer_print_str(p, "("); 1669 p = print_partial_affine_c(p, dim, bset, bset->eq[i], 1670 1 + total + j); 1671 p = isl_printer_print_str(p, ") % "); 1672 p = isl_printer_print_isl_int(p, 1673 bset->eq[i][1 + total + j]); 1674 p = isl_printer_print_str(p, " == 0"); 1675 } 1676 } 1677 for (i = 0; i < bset->n_ineq; ++i) 1678 p = print_constraint_c(p, dim, bset, bset->ineq[i], ">=", 1679 !bset->n_eq && !i); 1680 return p; 1681} 1682 1683static __isl_give isl_printer *print_set_c(__isl_take isl_printer *p, 1684 __isl_keep isl_space *dim, __isl_keep isl_set *set) 1685{ 1686 int i; 1687 1688 if (!set) 1689 return isl_printer_free(p); 1690 1691 if (set->n == 0) 1692 p = isl_printer_print_str(p, "0"); 1693 1694 for (i = 0; i < set->n; ++i) { 1695 if (i) 1696 p = isl_printer_print_str(p, " || "); 1697 if (set->n > 1) 1698 p = isl_printer_print_str(p, "("); 1699 p = print_basic_set_c(p, dim, set->p[i]); 1700 if (set->n > 1) 1701 p = isl_printer_print_str(p, ")"); 1702 } 1703 return p; 1704} 1705 1706static __isl_give isl_printer *print_pw_qpolynomial_c( 1707 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp) 1708{ 1709 int i; 1710 1711 if (pwqp->n == 1 && isl_set_plain_is_universe(pwqp->p[0].set)) 1712 return print_qpolynomial_c(p, pwqp->dim, pwqp->p[0].qp); 1713 1714 for (i = 0; i < pwqp->n; ++i) { 1715 p = isl_printer_print_str(p, "("); 1716 p = print_set_c(p, pwqp->dim, pwqp->p[i].set); 1717 p = isl_printer_print_str(p, ") ? ("); 1718 p = print_qpolynomial_c(p, pwqp->dim, pwqp->p[i].qp); 1719 p = isl_printer_print_str(p, ") : "); 1720 } 1721 1722 p = isl_printer_print_str(p, "0"); 1723 return p; 1724} 1725 1726__isl_give isl_printer *isl_printer_print_pw_qpolynomial( 1727 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial *pwqp) 1728{ 1729 if (!p || !pwqp) 1730 goto error; 1731 1732 if (p->output_format == ISL_FORMAT_ISL) 1733 return print_pw_qpolynomial_isl(p, pwqp); 1734 else if (p->output_format == ISL_FORMAT_C) 1735 return print_pw_qpolynomial_c(p, pwqp); 1736 isl_assert(p->ctx, 0, goto error); 1737error: 1738 isl_printer_free(p); 1739 return NULL; 1740} 1741 1742static int print_pwqp_body(__isl_take isl_pw_qpolynomial *pwqp, void *user) 1743{ 1744 struct isl_union_print_data *data; 1745 data = (struct isl_union_print_data *)user; 1746 1747 if (!data->first) 1748 data->p = isl_printer_print_str(data->p, "; "); 1749 data->first = 0; 1750 1751 data->p = isl_pwqp_print_isl_body(data->p, pwqp); 1752 isl_pw_qpolynomial_free(pwqp); 1753 1754 return 0; 1755} 1756 1757static __isl_give isl_printer *print_union_pw_qpolynomial_isl( 1758 __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp) 1759{ 1760 struct isl_union_print_data data = { p, 1 }; 1761 isl_space *dim; 1762 dim = isl_union_pw_qpolynomial_get_space(upwqp); 1763 if (isl_space_dim(dim, isl_dim_param) > 0) { 1764 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL); 1765 p = isl_printer_print_str(p, " -> "); 1766 } 1767 isl_space_free(dim); 1768 p = isl_printer_print_str(p, "{ "); 1769 isl_union_pw_qpolynomial_foreach_pw_qpolynomial(upwqp, &print_pwqp_body, 1770 &data); 1771 p = data.p; 1772 p = isl_printer_print_str(p, " }"); 1773 return p; 1774} 1775 1776__isl_give isl_printer *isl_printer_print_union_pw_qpolynomial( 1777 __isl_take isl_printer *p, __isl_keep isl_union_pw_qpolynomial *upwqp) 1778{ 1779 if (!p || !upwqp) 1780 goto error; 1781 1782 if (p->output_format == ISL_FORMAT_ISL) 1783 return print_union_pw_qpolynomial_isl(p, upwqp); 1784 isl_die(p->ctx, isl_error_invalid, 1785 "invalid output format for isl_union_pw_qpolynomial", 1786 goto error); 1787error: 1788 isl_printer_free(p); 1789 return NULL; 1790} 1791 1792static __isl_give isl_printer *print_qpolynomial_fold_c( 1793 __isl_take isl_printer *p, __isl_keep isl_space *dim, 1794 __isl_keep isl_qpolynomial_fold *fold) 1795{ 1796 int i; 1797 1798 for (i = 0; i < fold->n - 1; ++i) 1799 if (fold->type == isl_fold_min) 1800 p = isl_printer_print_str(p, "min("); 1801 else if (fold->type == isl_fold_max) 1802 p = isl_printer_print_str(p, "max("); 1803 1804 for (i = 0; i < fold->n; ++i) { 1805 if (i) 1806 p = isl_printer_print_str(p, ", "); 1807 p = print_qpolynomial_c(p, dim, fold->qp[i]); 1808 if (i) 1809 p = isl_printer_print_str(p, ")"); 1810 } 1811 return p; 1812} 1813 1814__isl_give isl_printer *isl_printer_print_qpolynomial_fold( 1815 __isl_take isl_printer *p, __isl_keep isl_qpolynomial_fold *fold) 1816{ 1817 if (!p || !fold) 1818 goto error; 1819 if (p->output_format == ISL_FORMAT_ISL) 1820 return qpolynomial_fold_print(fold, p); 1821 else if (p->output_format == ISL_FORMAT_C) 1822 return print_qpolynomial_fold_c(p, fold->dim, fold); 1823 isl_die(p->ctx, isl_error_unsupported, "unsupported output format", 1824 goto error); 1825error: 1826 isl_printer_free(p); 1827 return NULL; 1828} 1829 1830static __isl_give isl_printer *print_pw_qpolynomial_fold_c( 1831 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf) 1832{ 1833 int i; 1834 1835 if (pwf->n == 1 && isl_set_plain_is_universe(pwf->p[0].set)) 1836 return print_qpolynomial_fold_c(p, pwf->dim, pwf->p[0].fold); 1837 1838 for (i = 0; i < pwf->n; ++i) { 1839 p = isl_printer_print_str(p, "("); 1840 p = print_set_c(p, pwf->dim, pwf->p[i].set); 1841 p = isl_printer_print_str(p, ") ? ("); 1842 p = print_qpolynomial_fold_c(p, pwf->dim, pwf->p[i].fold); 1843 p = isl_printer_print_str(p, ") : "); 1844 } 1845 1846 p = isl_printer_print_str(p, "0"); 1847 return p; 1848} 1849 1850__isl_give isl_printer *isl_printer_print_pw_qpolynomial_fold( 1851 __isl_take isl_printer *p, __isl_keep isl_pw_qpolynomial_fold *pwf) 1852{ 1853 if (!p || !pwf) 1854 goto error; 1855 1856 if (p->output_format == ISL_FORMAT_ISL) 1857 return print_pw_qpolynomial_fold_isl(p, pwf); 1858 else if (p->output_format == ISL_FORMAT_C) 1859 return print_pw_qpolynomial_fold_c(p, pwf); 1860 isl_assert(p->ctx, 0, goto error); 1861error: 1862 isl_printer_free(p); 1863 return NULL; 1864} 1865 1866void isl_pw_qpolynomial_fold_print(__isl_keep isl_pw_qpolynomial_fold *pwf, 1867 FILE *out, unsigned output_format) 1868{ 1869 isl_printer *p; 1870 1871 if (!pwf) 1872 return; 1873 1874 p = isl_printer_to_file(pwf->dim->ctx, out); 1875 p = isl_printer_set_output_format(p, output_format); 1876 p = isl_printer_print_pw_qpolynomial_fold(p, pwf); 1877 1878 isl_printer_free(p); 1879} 1880 1881static int print_pwf_body(__isl_take isl_pw_qpolynomial_fold *pwf, void *user) 1882{ 1883 struct isl_union_print_data *data; 1884 data = (struct isl_union_print_data *)user; 1885 1886 if (!data->first) 1887 data->p = isl_printer_print_str(data->p, "; "); 1888 data->first = 0; 1889 1890 data->p = isl_pwf_print_isl_body(data->p, pwf); 1891 isl_pw_qpolynomial_fold_free(pwf); 1892 1893 return 0; 1894} 1895 1896static __isl_give isl_printer *print_union_pw_qpolynomial_fold_isl( 1897 __isl_take isl_printer *p, 1898 __isl_keep isl_union_pw_qpolynomial_fold *upwf) 1899{ 1900 struct isl_union_print_data data = { p, 1 }; 1901 isl_space *dim; 1902 dim = isl_union_pw_qpolynomial_fold_get_space(upwf); 1903 if (isl_space_dim(dim, isl_dim_param) > 0) { 1904 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL); 1905 p = isl_printer_print_str(p, " -> "); 1906 } 1907 isl_space_free(dim); 1908 p = isl_printer_print_str(p, "{ "); 1909 isl_union_pw_qpolynomial_fold_foreach_pw_qpolynomial_fold(upwf, 1910 &print_pwf_body, &data); 1911 p = data.p; 1912 p = isl_printer_print_str(p, " }"); 1913 return p; 1914} 1915 1916__isl_give isl_printer *isl_printer_print_union_pw_qpolynomial_fold( 1917 __isl_take isl_printer *p, 1918 __isl_keep isl_union_pw_qpolynomial_fold *upwf) 1919{ 1920 if (!p || !upwf) 1921 goto error; 1922 1923 if (p->output_format == ISL_FORMAT_ISL) 1924 return print_union_pw_qpolynomial_fold_isl(p, upwf); 1925 isl_die(p->ctx, isl_error_invalid, 1926 "invalid output format for isl_union_pw_qpolynomial_fold", 1927 goto error); 1928error: 1929 isl_printer_free(p); 1930 return NULL; 1931} 1932 1933__isl_give isl_printer *isl_printer_print_constraint(__isl_take isl_printer *p, 1934 __isl_keep isl_constraint *c) 1935{ 1936 isl_basic_map *bmap; 1937 1938 if (!p || !c) 1939 goto error; 1940 1941 bmap = isl_basic_map_from_constraint(isl_constraint_copy(c)); 1942 p = isl_printer_print_basic_map(p, bmap); 1943 isl_basic_map_free(bmap); 1944 return p; 1945error: 1946 isl_printer_free(p); 1947 return NULL; 1948} 1949 1950static __isl_give isl_printer *isl_printer_print_space_isl( 1951 __isl_take isl_printer *p, __isl_keep isl_space *dim) 1952{ 1953 if (!dim) 1954 goto error; 1955 1956 if (isl_space_dim(dim, isl_dim_param) > 0) { 1957 p = print_tuple(dim, p, isl_dim_param, 0, NULL, NULL); 1958 p = isl_printer_print_str(p, " -> "); 1959 } 1960 1961 p = isl_printer_print_str(p, "{ "); 1962 if (isl_space_is_params(dim)) 1963 p = isl_printer_print_str(p, s_such_that[0]); 1964 else 1965 p = print_space(dim, p, 0, 0, NULL, NULL); 1966 p = isl_printer_print_str(p, " }"); 1967 1968 return p; 1969error: 1970 isl_printer_free(p); 1971 return NULL; 1972} 1973 1974__isl_give isl_printer *isl_printer_print_space(__isl_take isl_printer *p, 1975 __isl_keep isl_space *space) 1976{ 1977 if (!p || !space) 1978 return isl_printer_free(p); 1979 if (p->output_format == ISL_FORMAT_ISL) 1980 return isl_printer_print_space_isl(p, space); 1981 else if (p->output_format == ISL_FORMAT_OMEGA) 1982 return print_omega_parameters(space, p); 1983 1984 isl_die(isl_space_get_ctx(space), isl_error_unsupported, 1985 "output format not supported for space", 1986 return isl_printer_free(p)); 1987} 1988 1989__isl_give isl_printer *isl_printer_print_local_space(__isl_take isl_printer *p, 1990 __isl_keep isl_local_space *ls) 1991{ 1992 unsigned total; 1993 unsigned n_div; 1994 1995 if (!ls) 1996 goto error; 1997 1998 total = isl_local_space_dim(ls, isl_dim_all); 1999 if (isl_local_space_dim(ls, isl_dim_param) > 0) { 2000 p = print_tuple(ls->dim, p, isl_dim_param, 0, NULL, NULL); 2001 p = isl_printer_print_str(p, " -> "); 2002 } 2003 p = isl_printer_print_str(p, "{ "); 2004 p = print_space(ls->dim, p, 0, 0, NULL, NULL); 2005 n_div = isl_local_space_dim(ls, isl_dim_div); 2006 if (n_div > 0) { 2007 int i; 2008 p = isl_printer_print_str(p, " : "); 2009 p = isl_printer_print_str(p, s_open_exists[0]); 2010 for (i = 0; i < n_div; ++i) { 2011 if (i) 2012 p = isl_printer_print_str(p, ", "); 2013 p = print_name(ls->dim, p, isl_dim_div, i, 0); 2014 if (isl_int_is_zero(ls->div->row[i][0])) 2015 continue; 2016 p = isl_printer_print_str(p, " = [("); 2017 p = print_affine_of_len(ls->dim, ls->div, p, 2018 ls->div->row[i] + 1, 1 + total); 2019 p = isl_printer_print_str(p, ")/"); 2020 p = isl_printer_print_isl_int(p, ls->div->row[i][0]); 2021 p = isl_printer_print_str(p, "]"); 2022 } 2023 } else if (isl_space_is_params(ls->dim)) 2024 p = isl_printer_print_str(p, s_such_that[0]); 2025 p = isl_printer_print_str(p, " }"); 2026 return p; 2027error: 2028 isl_printer_free(p); 2029 return NULL; 2030} 2031 2032static __isl_give isl_printer *print_aff_body(__isl_take isl_printer *p, 2033 __isl_keep isl_aff *aff) 2034{ 2035 unsigned total; 2036 2037 total = isl_local_space_dim(aff->ls, isl_dim_all); 2038 p = isl_printer_print_str(p, "("); 2039 p = print_affine_of_len(aff->ls->dim, aff->ls->div, p, 2040 aff->v->el + 1, 1 + total); 2041 if (isl_int_is_one(aff->v->el[0])) 2042 p = isl_printer_print_str(p, ")"); 2043 else { 2044 p = isl_printer_print_str(p, ")/"); 2045 p = isl_printer_print_isl_int(p, aff->v->el[0]); 2046 } 2047 2048 return p; 2049} 2050 2051static __isl_give isl_printer *print_aff(__isl_take isl_printer *p, 2052 __isl_keep isl_aff *aff) 2053{ 2054 if (isl_space_is_params(aff->ls->dim)) 2055 ; 2056 else { 2057 p = print_tuple(aff->ls->dim, p, isl_dim_set, 0, NULL, NULL); 2058 p = isl_printer_print_str(p, " -> "); 2059 } 2060 p = isl_printer_print_str(p, "["); 2061 p = print_aff_body(p, aff); 2062 p = isl_printer_print_str(p, "]"); 2063 2064 return p; 2065} 2066 2067static __isl_give isl_printer *print_aff_isl(__isl_take isl_printer *p, 2068 __isl_keep isl_aff *aff) 2069{ 2070 if (!aff) 2071 goto error; 2072 2073 if (isl_local_space_dim(aff->ls, isl_dim_param) > 0) { 2074 p = print_tuple(aff->ls->dim, p, isl_dim_param, 0, NULL, NULL); 2075 p = isl_printer_print_str(p, " -> "); 2076 } 2077 p = isl_printer_print_str(p, "{ "); 2078 p = print_aff(p, aff); 2079 p = isl_printer_print_str(p, " }"); 2080 return p; 2081error: 2082 isl_printer_free(p); 2083 return NULL; 2084} 2085 2086static __isl_give isl_printer *print_pw_aff_isl(__isl_take isl_printer *p, 2087 __isl_keep isl_pw_aff *pwaff) 2088{ 2089 int i; 2090 2091 if (!pwaff) 2092 goto error; 2093 2094 if (isl_space_dim(pwaff->dim, isl_dim_param) > 0) { 2095 p = print_tuple(pwaff->dim, p, isl_dim_param, 0, NULL, NULL); 2096 p = isl_printer_print_str(p, " -> "); 2097 } 2098 p = isl_printer_print_str(p, "{ "); 2099 for (i = 0; i < pwaff->n; ++i) { 2100 if (i) 2101 p = isl_printer_print_str(p, "; "); 2102 p = print_aff(p, pwaff->p[i].aff); 2103 p = print_disjuncts((isl_map *)pwaff->p[i].set, p, 0); 2104 } 2105 p = isl_printer_print_str(p, " }"); 2106 return p; 2107error: 2108 isl_printer_free(p); 2109 return NULL; 2110} 2111 2112static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p, 2113 __isl_keep isl_local_space *ls, isl_int *c); 2114 2115static __isl_give isl_printer *print_ls_name_c(__isl_take isl_printer *p, 2116 __isl_keep isl_local_space *ls, enum isl_dim_type type, unsigned pos) 2117{ 2118 if (type == isl_dim_div) { 2119 p = isl_printer_print_str(p, "floord("); 2120 p = print_ls_affine_c(p, ls, ls->div->row[pos] + 1); 2121 p = isl_printer_print_str(p, ", "); 2122 p = isl_printer_print_isl_int(p, ls->div->row[pos][0]); 2123 p = isl_printer_print_str(p, ")"); 2124 } else { 2125 const char *name; 2126 2127 name = isl_space_get_dim_name(ls->dim, type, pos); 2128 if (!name) 2129 name = "UNNAMED"; 2130 p = isl_printer_print_str(p, name); 2131 } 2132 return p; 2133} 2134 2135static __isl_give isl_printer *print_ls_term_c(__isl_take isl_printer *p, 2136 __isl_keep isl_local_space *ls, isl_int c, unsigned pos) 2137{ 2138 enum isl_dim_type type; 2139 2140 if (pos == 0) 2141 return isl_printer_print_isl_int(p, c); 2142 2143 if (isl_int_is_one(c)) 2144 ; 2145 else if (isl_int_is_negone(c)) 2146 p = isl_printer_print_str(p, "-"); 2147 else { 2148 p = isl_printer_print_isl_int(p, c); 2149 p = isl_printer_print_str(p, "*"); 2150 } 2151 type = pos2type(ls->dim, &pos); 2152 p = print_ls_name_c(p, ls, type, pos); 2153 return p; 2154} 2155 2156static __isl_give isl_printer *print_ls_partial_affine_c( 2157 __isl_take isl_printer *p, __isl_keep isl_local_space *ls, 2158 isl_int *c, unsigned len) 2159{ 2160 int i; 2161 int first; 2162 2163 for (i = 0, first = 1; i < len; ++i) { 2164 int flip = 0; 2165 if (isl_int_is_zero(c[i])) 2166 continue; 2167 if (!first) { 2168 if (isl_int_is_neg(c[i])) { 2169 flip = 1; 2170 isl_int_neg(c[i], c[i]); 2171 p = isl_printer_print_str(p, " - "); 2172 } else 2173 p = isl_printer_print_str(p, " + "); 2174 } 2175 first = 0; 2176 p = print_ls_term_c(p, ls, c[i], i); 2177 if (flip) 2178 isl_int_neg(c[i], c[i]); 2179 } 2180 if (first) 2181 p = isl_printer_print_str(p, "0"); 2182 return p; 2183} 2184 2185static __isl_give isl_printer *print_ls_affine_c(__isl_take isl_printer *p, 2186 __isl_keep isl_local_space *ls, isl_int *c) 2187{ 2188 unsigned len = 1 + isl_local_space_dim(ls, isl_dim_all); 2189 return print_ls_partial_affine_c(p, ls, c, len); 2190} 2191 2192static __isl_give isl_printer *print_aff_c(__isl_take isl_printer *p, 2193 __isl_keep isl_aff *aff) 2194{ 2195 unsigned total; 2196 2197 total = isl_local_space_dim(aff->ls, isl_dim_all); 2198 if (!isl_int_is_one(aff->v->el[0])) 2199 p = isl_printer_print_str(p, "("); 2200 p = print_ls_partial_affine_c(p, aff->ls, aff->v->el + 1, 1 + total); 2201 if (!isl_int_is_one(aff->v->el[0])) { 2202 p = isl_printer_print_str(p, ")/"); 2203 p = isl_printer_print_isl_int(p, aff->v->el[0]); 2204 } 2205 return p; 2206} 2207 2208/* Print the affine expression "aff" in C format to "p". 2209 * The dimension names are taken from "space" 2210 * "set" represents the domain of the affine expression. 2211 */ 2212static __isl_give isl_printer *print_aff_on_domain_c(__isl_take isl_printer *p, 2213 __isl_keep isl_space *space, __isl_keep isl_aff *aff, 2214 __isl_keep isl_set *set) 2215{ 2216 isl_set *u; 2217 isl_ast_build *build; 2218 isl_ast_expr *expr; 2219 2220 u = isl_set_universe(isl_space_copy(space)); 2221 build = isl_ast_build_from_context(u); 2222 build = isl_ast_build_restrict(build, isl_set_copy(set)); 2223 expr = isl_ast_expr_from_aff(isl_aff_copy(aff), build); 2224 p = isl_printer_print_ast_expr(p, expr); 2225 isl_ast_expr_free(expr); 2226 isl_ast_build_free(build); 2227 2228 return p; 2229} 2230 2231/* In the C format, we cannot express that "pwaff" may be undefined 2232 * on parts of the domain space. We therefore assume that the expression 2233 * will only be evaluated on its definition domain and compute the gist 2234 * of each cell with respect to this domain. 2235 */ 2236static __isl_give isl_printer *print_pw_aff_c(__isl_take isl_printer *p, 2237 __isl_keep isl_pw_aff *pwaff) 2238{ 2239 int i; 2240 isl_set *domain; 2241 isl_space *space; 2242 2243 if (pwaff->n < 1) 2244 isl_die(p->ctx, isl_error_unsupported, 2245 "cannot print empty isl_pw_aff in C format", goto error); 2246 space = isl_pw_aff_get_domain_space(pwaff); 2247 if (!space) 2248 goto error; 2249 2250 domain = isl_pw_aff_domain(isl_pw_aff_copy(pwaff)); 2251 2252 for (i = 0; i < pwaff->n - 1; ++i) { 2253 isl_set *set_i; 2254 2255 p = isl_printer_print_str(p, "("); 2256 2257 set_i = isl_set_copy(pwaff->p[i].set); 2258 set_i = isl_set_gist(set_i, isl_set_copy(domain)); 2259 p = print_set_c(p, space, set_i); 2260 isl_set_free(set_i); 2261 2262 p = isl_printer_print_str(p, ") ? ("); 2263 p = print_aff_on_domain_c(p, space, 2264 pwaff->p[i].aff, pwaff->p[i].set); 2265 p = isl_printer_print_str(p, ") : "); 2266 } 2267 2268 isl_set_free(domain); 2269 2270 p = print_aff_on_domain_c(p, space, pwaff->p[pwaff->n - 1].aff, 2271 pwaff->p[pwaff->n - 1].set); 2272 isl_space_free(space); 2273 return p; 2274error: 2275 isl_printer_free(p); 2276 return NULL; 2277} 2278 2279__isl_give isl_printer *isl_printer_print_aff(__isl_take isl_printer *p, 2280 __isl_keep isl_aff *aff) 2281{ 2282 if (!p || !aff) 2283 goto error; 2284 2285 if (p->output_format == ISL_FORMAT_ISL) 2286 return print_aff_isl(p, aff); 2287 else if (p->output_format == ISL_FORMAT_C) 2288 return print_aff_c(p, aff); 2289 isl_die(p->ctx, isl_error_unsupported, "unsupported output format", 2290 goto error); 2291error: 2292 isl_printer_free(p); 2293 return NULL; 2294} 2295 2296__isl_give isl_printer *isl_printer_print_pw_aff(__isl_take isl_printer *p, 2297 __isl_keep isl_pw_aff *pwaff) 2298{ 2299 if (!p || !pwaff) 2300 goto error; 2301 2302 if (p->output_format == ISL_FORMAT_ISL) 2303 return print_pw_aff_isl(p, pwaff); 2304 else if (p->output_format == ISL_FORMAT_C) 2305 return print_pw_aff_c(p, pwaff); 2306 isl_die(p->ctx, isl_error_unsupported, "unsupported output format", 2307 goto error); 2308error: 2309 isl_printer_free(p); 2310 return NULL; 2311} 2312 2313static __isl_give isl_printer *print_multi_aff(__isl_take isl_printer *p, 2314 __isl_keep isl_multi_aff *maff) 2315{ 2316 return print_space(maff->space, p, 0, 0, NULL, maff); 2317} 2318 2319static __isl_give isl_printer *print_multi_aff_isl(__isl_take isl_printer *p, 2320 __isl_keep isl_multi_aff *maff) 2321{ 2322 if (!maff) 2323 goto error; 2324 2325 if (isl_space_dim(maff->space, isl_dim_param) > 0) { 2326 p = print_tuple(maff->space, p, isl_dim_param, 0, NULL, NULL); 2327 p = isl_printer_print_str(p, " -> "); 2328 } 2329 p = isl_printer_print_str(p, "{ "); 2330 p = print_multi_aff(p, maff); 2331 p = isl_printer_print_str(p, " }"); 2332 return p; 2333error: 2334 isl_printer_free(p); 2335 return NULL; 2336} 2337 2338__isl_give isl_printer *isl_printer_print_multi_aff(__isl_take isl_printer *p, 2339 __isl_keep isl_multi_aff *maff) 2340{ 2341 if (!p || !maff) 2342 goto error; 2343 2344 if (p->output_format == ISL_FORMAT_ISL) 2345 return print_multi_aff_isl(p, maff); 2346 isl_die(p->ctx, isl_error_unsupported, "unsupported output format", 2347 goto error); 2348error: 2349 isl_printer_free(p); 2350 return NULL; 2351} 2352 2353static __isl_give isl_printer *print_pw_multi_aff_body( 2354 __isl_take isl_printer *p, __isl_keep isl_pw_multi_aff *pma) 2355{ 2356 int i; 2357 2358 if (!pma) 2359 goto error; 2360 2361 for (i = 0; i < pma->n; ++i) { 2362 if (i) 2363 p = isl_printer_print_str(p, "; "); 2364 p = print_multi_aff(p, pma->p[i].maff); 2365 p = print_disjuncts((isl_map *)pma->p[i].set, p, 0); 2366 } 2367 return p; 2368error: 2369 isl_printer_free(p); 2370 return NULL; 2371} 2372 2373static __isl_give isl_printer *print_pw_multi_aff_isl(__isl_take isl_printer *p, 2374 __isl_keep isl_pw_multi_aff *pma) 2375{ 2376 if (!pma) 2377 goto error; 2378 2379 if (isl_space_dim(pma->dim, isl_dim_param) > 0) { 2380 p = print_tuple(pma->dim, p, isl_dim_param, 0, NULL, NULL); 2381 p = isl_printer_print_str(p, " -> "); 2382 } 2383 p = isl_printer_print_str(p, "{ "); 2384 p = print_pw_multi_aff_body(p, pma); 2385 p = isl_printer_print_str(p, " }"); 2386 return p; 2387error: 2388 isl_printer_free(p); 2389 return NULL; 2390} 2391 2392static __isl_give isl_printer *print_unnamed_pw_multi_aff_c( 2393 __isl_take isl_printer *p, __isl_keep isl_pw_multi_aff *pma) 2394{ 2395 int i; 2396 2397 for (i = 0; i < pma->n - 1; ++i) { 2398 p = isl_printer_print_str(p, "("); 2399 p = print_set_c(p, pma->dim, pma->p[i].set); 2400 p = isl_printer_print_str(p, ") ? ("); 2401 p = print_aff_c(p, pma->p[i].maff->p[0]); 2402 p = isl_printer_print_str(p, ") : "); 2403 } 2404 2405 return print_aff_c(p, pma->p[pma->n - 1].maff->p[0]); 2406} 2407 2408static __isl_give isl_printer *print_pw_multi_aff_c(__isl_take isl_printer *p, 2409 __isl_keep isl_pw_multi_aff *pma) 2410{ 2411 int n; 2412 const char *name; 2413 2414 if (!pma) 2415 goto error; 2416 if (pma->n < 1) 2417 isl_die(p->ctx, isl_error_unsupported, 2418 "cannot print empty isl_pw_multi_aff in C format", 2419 goto error); 2420 name = isl_pw_multi_aff_get_tuple_name(pma, isl_dim_out); 2421 if (!name && isl_pw_multi_aff_dim(pma, isl_dim_out) == 1) 2422 return print_unnamed_pw_multi_aff_c(p, pma); 2423 if (!name) 2424 isl_die(p->ctx, isl_error_unsupported, 2425 "cannot print unnamed isl_pw_multi_aff in C format", 2426 goto error); 2427 2428 p = isl_printer_print_str(p, name); 2429 n = isl_pw_multi_aff_dim(pma, isl_dim_out); 2430 if (n != 0) 2431 isl_die(p->ctx, isl_error_unsupported, 2432 "not supported yet", goto error); 2433 2434 return p; 2435error: 2436 isl_printer_free(p); 2437 return NULL; 2438} 2439 2440__isl_give isl_printer *isl_printer_print_pw_multi_aff( 2441 __isl_take isl_printer *p, __isl_keep isl_pw_multi_aff *pma) 2442{ 2443 if (!p || !pma) 2444 goto error; 2445 2446 if (p->output_format == ISL_FORMAT_ISL) 2447 return print_pw_multi_aff_isl(p, pma); 2448 if (p->output_format == ISL_FORMAT_C) 2449 return print_pw_multi_aff_c(p, pma); 2450 isl_die(p->ctx, isl_error_unsupported, "unsupported output format", 2451 goto error); 2452error: 2453 isl_printer_free(p); 2454 return NULL; 2455} 2456 2457static int print_pw_multi_aff_body_wrap(__isl_take isl_pw_multi_aff *pma, 2458 void *user) 2459{ 2460 struct isl_union_print_data *data; 2461 data = (struct isl_union_print_data *) user; 2462 2463 if (!data->first) 2464 data->p = isl_printer_print_str(data->p, "; "); 2465 data->first = 0; 2466 2467 data->p = print_pw_multi_aff_body(data->p, pma); 2468 isl_pw_multi_aff_free(pma); 2469 2470 return 0; 2471} 2472 2473static __isl_give isl_printer *print_union_pw_multi_aff_isl( 2474 __isl_take isl_printer *p, __isl_keep isl_union_pw_multi_aff *upma) 2475{ 2476 struct isl_union_print_data data = { p, 1 }; 2477 isl_space *space; 2478 2479 space = isl_union_pw_multi_aff_get_space(upma); 2480 if (isl_space_dim(space, isl_dim_param) > 0) { 2481 p = print_tuple(space, p, isl_dim_param, 0, NULL, NULL); 2482 p = isl_printer_print_str(p, s_to[0]); 2483 } 2484 isl_space_free(space); 2485 p = isl_printer_print_str(p, s_open_set[0]); 2486 isl_union_pw_multi_aff_foreach_pw_multi_aff(upma, 2487 &print_pw_multi_aff_body_wrap, &data); 2488 p = data.p; 2489 p = isl_printer_print_str(p, s_close_set[0]); 2490 return p; 2491} 2492 2493__isl_give isl_printer *isl_printer_print_union_pw_multi_aff( 2494 __isl_take isl_printer *p, __isl_keep isl_union_pw_multi_aff *upma) 2495{ 2496 if (!p || !upma) 2497 goto error; 2498 2499 if (p->output_format == ISL_FORMAT_ISL) 2500 return print_union_pw_multi_aff_isl(p, upma); 2501 isl_die(p->ctx, isl_error_unsupported, "unsupported output format", 2502 goto error); 2503error: 2504 isl_printer_free(p); 2505 return NULL; 2506} 2507 2508static __isl_give isl_printer *print_multi_pw_aff_isl(__isl_take isl_printer *p, 2509 __isl_keep isl_multi_pw_aff *mpa) 2510{ 2511 int i; 2512 2513 if (!mpa) 2514 return isl_printer_free(p); 2515 2516 p = isl_printer_print_str(p, "("); 2517 for (i = 0; i < mpa->n; ++i) { 2518 if (i) 2519 p = isl_printer_print_str(p, ","); 2520 p = isl_printer_print_pw_aff(p, mpa->p[i]); 2521 } 2522 p = isl_printer_print_str(p, ")"); 2523 return p; 2524} 2525 2526__isl_give isl_printer *isl_printer_print_multi_pw_aff( 2527 __isl_take isl_printer *p, __isl_keep isl_multi_pw_aff *mpa) 2528{ 2529 if (!p || !mpa) 2530 return isl_printer_free(p); 2531 2532 if (p->output_format == ISL_FORMAT_ISL) 2533 return print_multi_pw_aff_isl(p, mpa); 2534 isl_die(p->ctx, isl_error_unsupported, "unsupported output format", 2535 return isl_printer_free(p)); 2536} 2537