/usr/include/CGAL/RS/dyadic.h is in libcgal-dev 4.5-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 | // Copyright (c) 2006-2013 INRIA Nancy-Grand Est (France). All rights reserved.
//
// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 3 of the License,
// or (at your option) any later version.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL$
// $Id$
//
// Author: Luis Peñaranda <luis.penaranda@gmx.com>
#ifndef CGAL_RS_DYADIC_H
#define CGAL_RS_DYADIC_H
#include <stdio.h>
#include <math.h>
#include <gmp.h>
#include <mpfr.h>
#include <CGAL/assertions.h>
// for c++, compile with -lgmpxx
#ifdef __cplusplus
#include <iostream>
#endif
#define CGALRS_dyadic_struct __mpfr_struct
#define CGALRS_dyadic_t mpfr_t
#define CGALRS_dyadic_ptr mpfr_ptr
#define CGALRS_dyadic_srcptr mpfr_srcptr
// some auxiliary defines
#define CGALRS_dyadic_set_prec(D,P) \
( mpfr_set_prec( (D), (P)>MPFR_PREC_MIN?(P):MPFR_PREC_MIN) )
#define CGALRS_dyadic_prec_round(D,P) \
( mpfr_prec_round( (D), (P)>MPFR_PREC_MIN?(P):MPFR_PREC_MIN, GMP_RNDN) )
#define CGALRS_dyadic_set_exp(D,E) \
( CGAL_assertion( (E) <= mpfr_get_emax() && \
(E) >= mpfr_get_emin() ) ,\
mpfr_set_exp(D,E) )
// init functions
#define CGALRS_dyadic_init(D) mpfr_init2(D,MPFR_PREC_MIN)
#define CGALRS_dyadic_init2(D,P) mpfr_init2(D,P)
#define CGALRS_dyadic_clear(D) mpfr_clear(D)
inline void CGALRS_dyadic_set(CGALRS_dyadic_ptr rop,CGALRS_dyadic_srcptr op){
if(rop!=op){
CGALRS_dyadic_set_prec(rop,mpfr_get_prec(op));
mpfr_set(rop,op,GMP_RNDN);
}
CGAL_assertion(mpfr_equal_p(rop,op)!=0);
}
inline void CGALRS_dyadic_set_z(CGALRS_dyadic_ptr rop,mpz_srcptr z){
size_t prec;
prec=mpz_sizeinbase(z,2)-(mpz_tstbit(z,0)?0:mpz_scan1(z,0));
CGALRS_dyadic_set_prec(rop,prec);
mpfr_set_z(rop,z,GMP_RNDN);
CGAL_assertion(!mpfr_cmp_z(rop,z));
}
inline void CGALRS_dyadic_set_si(CGALRS_dyadic_ptr rop,long s){
CGALRS_dyadic_set_prec(rop,sizeof(long));
mpfr_set_si(rop,s,GMP_RNDN);
CGAL_assertion(!mpfr_cmp_si(rop,s));
}
inline void CGALRS_dyadic_set_ui(CGALRS_dyadic_ptr rop,unsigned long u){
CGALRS_dyadic_set_prec(rop,sizeof(unsigned long));
mpfr_set_ui(rop,u,GMP_RNDN);
CGAL_assertion(!mpfr_cmp_ui(rop,u));
}
inline void CGALRS_dyadic_set_fr(CGALRS_dyadic_ptr rop,mpfr_srcptr op){
if(rop!=op){
CGALRS_dyadic_set_prec(rop,mpfr_get_prec(op));
mpfr_set(rop,op,GMP_RNDN);
CGAL_assertion(mpfr_equal_p(rop,op)!=0);
}
}
#define CGALRS_dyadic_init_set(R,D) \
( CGALRS_dyadic_init(R), CGALRS_dyadic_set((R), (D)) )
#define CGALRS_dyadic_init_set_z(R,Z) \
( CGALRS_dyadic_init(R), CGALRS_dyadic_set_z((R), (Z)) )
#define CGALRS_dyadic_init_set_si(R,I) \
( CGALRS_dyadic_init(R), CGALRS_dyadic_set_si((R), (I)) )
#define CGALRS_dyadic_init_set_ui(R,I) \
( CGALRS_dyadic_init(R), CGALRS_dyadic_set_ui((R), (I)) )
#define CGALRS_dyadic_init_set_fr(R,F) \
( CGALRS_dyadic_init(R), CGALRS_dyadic_set_fr((R), (F)) )
#define CGALRS_dyadic_get_fr(M,D) mpfr_set(M,D,GMP_RNDN)
#define CGALRS_dyadic_get_d(D,RM) mpfr_get_d(D,RM)
inline void CGALRS_dyadic_get_exactfr(mpfr_ptr rop,CGALRS_dyadic_srcptr op){
if(rop!=op){
CGALRS_dyadic_set_prec(rop,mpfr_get_prec(op));
mpfr_set(rop,op,GMP_RNDN);
CGAL_assertion(mpfr_equal_p(rop,op)!=0);
}
}
#define CGALRS_dyadic_canonicalize(D) ()
// comparison functions
#define CGALRS_dyadic_sgn(D) mpfr_sgn(D)
#define CGALRS_dyadic_zero(D) mpfr_zero_p(D)
#define CGALRS_dyadic_cmp(D,E) mpfr_cmp(D,E)
// arithmetic functions
#define CGALRS_dyadic_add(R,D,E) CGALRS_dyadic_ll_add(R,D,E,0)
#define CGALRS_dyadic_sub(R,D,E) CGALRS_dyadic_ll_sub(R,D,E,0)
#define CGALRS_dyadic_mul(R,D,E) CGALRS_dyadic_ll_mul(R,D,E,0)
inline void CGALRS_dyadic_neg(CGALRS_dyadic_ptr rop,CGALRS_dyadic_srcptr op){
if(rop!=op)
CGALRS_dyadic_set_prec(rop,mpfr_get_prec(op));
mpfr_neg(rop,op,GMP_RNDN);
CGAL_assertion(
rop==op||
(!mpfr_cmpabs(rop,op)&&
((CGALRS_dyadic_zero(op)&&CGALRS_dyadic_zero(rop))||
(CGALRS_dyadic_sgn(op)!=CGALRS_dyadic_sgn(rop)))));
}
// low-level addition:
// add op1 and op2 and reserve b bits for future lowlevel operations
inline void CGALRS_dyadic_ll_add(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
CGALRS_dyadic_srcptr op2,
mp_prec_t b){
mp_exp_t l,r,temp1,temp2;
mp_prec_t rop_prec;
if(mpfr_zero_p(op1)){
if(rop!=op2)
CGALRS_dyadic_set(rop,op2);
return;
}
if(mpfr_zero_p(op2)){
if(rop!=op1)
CGALRS_dyadic_set(rop,op1);
return;
}
l=mpfr_get_exp(op1)>mpfr_get_exp(op2)?
mpfr_get_exp(op1):
mpfr_get_exp(op2);
temp1=mpfr_get_exp(op1)-(mp_exp_t)mpfr_get_prec(op1);
temp2=mpfr_get_exp(op2)-(mp_exp_t)mpfr_get_prec(op2);
r=temp1>temp2?temp2:temp1;
CGAL_assertion(l>r);
rop_prec=b+1+(mp_prec_t)(l-r);
CGAL_assertion(rop_prec>=mpfr_get_prec(op1)&&
rop_prec>=mpfr_get_prec(op2));
if(rop==op1||rop==op2)
CGALRS_dyadic_prec_round(rop,rop_prec);
else
CGALRS_dyadic_set_prec(rop,rop_prec);
CGAL_assertion_code(int round=)
mpfr_add(rop,op1,op2,GMP_RNDN);
CGAL_assertion(!round);
}
inline void CGALRS_dyadic_add_z(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
mpz_srcptr z){
mp_exp_t l,r;
mp_prec_t rop_prec;
if(mpfr_zero_p(op1)){
CGALRS_dyadic_set_z(rop,z);
return;
}
if(!mpz_sgn(z)){
if(rop!=op1)
CGALRS_dyadic_set(rop,op1);
return;
}
l=mpfr_get_exp(op1)>(mp_exp_t)mpz_sizeinbase(z,2)?
mpfr_get_exp(op1):
mpz_sizeinbase(z,2);
r=mpfr_get_exp(op1)-(mp_exp_t)mpfr_get_prec(op1)<0?
mpfr_get_exp(op1)-(mp_exp_t)mpfr_get_prec(op1):
0;
CGAL_assertion(l>r);
rop_prec=1+(mp_prec_t)(l-r);
CGAL_assertion(rop_prec>=mpfr_get_prec(op1)&&
rop_prec>=(mp_prec_t)mpz_sizeinbase(z,2));
if(rop==op1)
CGALRS_dyadic_prec_round(rop,rop_prec);
else
CGALRS_dyadic_set_prec(rop,rop_prec);
CGAL_assertion_code(int round=)
mpfr_add_z(rop,op1,z,GMP_RNDN);
CGAL_assertion(!round);
}
// low-level subtraction:
// subtract op2 to op1 and reserve b bits for future lowlevel operations
inline void CGALRS_dyadic_ll_sub(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
CGALRS_dyadic_srcptr op2,
mp_prec_t b){
mp_exp_t l,r,temp1,temp2;
mp_prec_t rop_prec;
if(mpfr_zero_p(op1)){
CGALRS_dyadic_neg(rop,op2);
return;
}
if(mpfr_zero_p(op2)){
if(rop!=op1)
CGALRS_dyadic_set(rop,op1);
return;
}
l=mpfr_get_exp(op1)>mpfr_get_exp(op2)?
mpfr_get_exp(op1):
mpfr_get_exp(op2);
temp1=mpfr_get_exp(op1)-(mp_exp_t)mpfr_get_prec(op1);
temp2=mpfr_get_exp(op2)-(mp_exp_t)mpfr_get_prec(op2);
r=temp1>temp2?temp2:temp1;
CGAL_assertion(l>r);
rop_prec=b+1+(mp_prec_t)(l-r);
CGAL_assertion(rop_prec>=mpfr_get_prec(op1)&&
rop_prec>=mpfr_get_prec(op2));
if(rop==op1||rop==op2)
CGALRS_dyadic_prec_round(rop,rop_prec);
else
CGALRS_dyadic_set_prec(rop,rop_prec);
CGAL_assertion_code(int round=)
mpfr_sub(rop,op1,op2,GMP_RNDN);
CGAL_assertion(!round);
}
// low-level multiplication:
// multiply op1 and op2 and reserve b bits for future lowlevel operations
inline void CGALRS_dyadic_ll_mul(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
CGALRS_dyadic_srcptr op2,
mp_prec_t b){
if(rop==op1||rop==op2)
CGALRS_dyadic_prec_round(rop,b+mpfr_get_prec(op1)+mpfr_get_prec(op2));
else
CGALRS_dyadic_set_prec(rop,b+mpfr_get_prec(op1)+mpfr_get_prec(op2));
CGAL_assertion_code(int round=)
mpfr_mul(rop,op1,op2,GMP_RNDN);
CGAL_assertion(!round);
}
inline void CGALRS_dyadic_mul_z(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
mpz_srcptr z){
if(rop==op1)
CGALRS_dyadic_prec_round(
rop,
mpfr_get_prec(op1)+mpz_sizeinbase(z,2));
else
CGALRS_dyadic_set_prec(
rop,
mpfr_get_prec(op1)+mpz_sizeinbase(z,2));
CGAL_assertion_code(int round=)
mpfr_mul_z(rop,op1,z,GMP_RNDN);
CGAL_assertion(!round);
}
inline void CGALRS_dyadic_mul_si(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
long s){
if(rop==op1)
CGALRS_dyadic_prec_round(rop,mpfr_get_prec(op1)+sizeof(long));
else
CGALRS_dyadic_set_prec(rop,mpfr_get_prec(op1)+sizeof(long));
CGAL_assertion_code(int round=)
mpfr_mul_si(rop,op1,s,GMP_RNDN);
CGAL_assertion(!round);
}
inline void CGALRS_dyadic_mul_ui(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
unsigned long u){
if(rop==op1)
CGALRS_dyadic_prec_round(
rop,
mpfr_get_prec(op1)+sizeof(unsigned long));
else
CGALRS_dyadic_set_prec(
rop,
mpfr_get_prec(op1)+sizeof(unsigned long));
CGAL_assertion_code(int round=)
mpfr_mul_ui(rop,op1,u,GMP_RNDN);
CGAL_assertion(!round);
}
inline void CGALRS_dyadic_pow_ui(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
unsigned long u){
if(!u){
CGAL_assertion_msg(!mpfr_zero_p(op1),"0^0");
CGALRS_dyadic_set_ui(rop,1);
return;
}
if(u==1){
if(rop!=op1)
CGALRS_dyadic_set(rop,op1);
return;
}
if(mpfr_zero_p(op1)){
CGAL_assertion_msg(u!=0,"0^0");
CGALRS_dyadic_set_ui(rop,0);
return;
}
if(!mpfr_cmp_ui(op1,1)){
if(rop!=op1)
CGALRS_dyadic_set(rop,op1);
return;
}
if(rop==op1)
CGALRS_dyadic_prec_round(rop,u*mpfr_get_prec(op1));
else
CGALRS_dyadic_set_prec(rop,u*mpfr_get_prec(op1));
CGAL_assertion_code(int round=)
mpfr_pow_ui(rop,op1,u,GMP_RNDN);
CGAL_assertion(!round);
}
inline void CGALRS_dyadic_addmul(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
CGALRS_dyadic_srcptr op2){
CGALRS_dyadic_t temp;
CGALRS_dyadic_init(temp);
CGALRS_dyadic_mul(temp,op1,op2);
CGALRS_dyadic_add(rop,rop,temp);
CGALRS_dyadic_clear(temp);
}
inline void CGALRS_dyadic_addmul_si(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
long op2){
CGALRS_dyadic_t temp;
CGALRS_dyadic_init(temp);
CGALRS_dyadic_mul_si(temp,op1,op2);
CGALRS_dyadic_add(rop,rop,temp);
CGALRS_dyadic_clear(temp);
}
inline void CGALRS_dyadic_addmul_ui(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
unsigned long u){
//CGALRS_dyadic_t temp;
//CGALRS_dyadic_init(temp);
//CGALRS_dyadic_mul_ui(temp,op1,u);
//CGALRS_dyadic_add(rop,rop,temp);
//CGALRS_dyadic_clear(temp);
CGALRS_dyadic_t temp;
mp_exp_t l,r,temp1,temp2;
mp_prec_t rop_prec;
if(u==0||mpfr_zero_p(op1))
return;
if(u==1){
CGALRS_dyadic_add(rop,rop,op1);
return;
}
// TODO: if(op1==1)
// calculate temp=op1*u
mpfr_init2(temp,mpfr_get_prec(op1)+sizeof(unsigned int));
CGAL_assertion_code(int round1=)
mpfr_mul_ui(temp,op1,u,GMP_RNDN);
CGAL_assertion(!round1);
// calculate the precision needed for rop
l=mpfr_get_exp(op1)>0?mpfr_get_exp(op1):0;
temp1=mpfr_get_exp(op1)-(mp_exp_t)mpfr_get_prec(op1);
temp2=sizeof(unsigned long);
r=temp1>temp2?temp2:temp1;
CGAL_assertion(l>r);
rop_prec=sizeof(unsigned long)+1+(mp_prec_t)(l-r);
CGAL_assertion(rop_prec>=mpfr_get_prec(op1)&&
rop_prec>=mpfr_get_prec(rop));
// set precision and add
CGALRS_dyadic_prec_round(rop,rop_prec);
CGAL_assertion_code(int round2=)
mpfr_add(rop,rop,temp,GMP_RNDN);
CGAL_assertion(!round2);
}
inline void CGALRS_dyadic_mul_2exp(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
unsigned long ui){
// mpfr_mul_2ui does change the mantissa!
if(rop==op1)
CGALRS_dyadic_prec_round(
rop,
sizeof(unsigned long)+mpfr_get_prec(op1));
else
CGALRS_dyadic_set_prec(
rop,
sizeof(unsigned long)+mpfr_get_prec(op1));
CGAL_assertion_code(int round=)
mpfr_mul_2ui(rop,op1,ui,GMP_RNDN);
CGAL_assertion(!round);
}
inline void CGALRS_dyadic_div_2exp(CGALRS_dyadic_ptr rop,
CGALRS_dyadic_srcptr op1,
unsigned long ui){
// mpfr_div_2ui does not change the mantissa... am I sure?
CGAL_assertion_code(int round=)
mpfr_div_2ui(rop,op1,ui,GMP_RNDN);
CGAL_assertion(!round);
}
// miscelaneous functions
#define CGALRS_dyadic_midpoint(R,D,E) \
( CGALRS_dyadic_ll_add(R,D,E,1) , mpfr_div_2ui(R,R,1,GMP_RNDN) )
#define CGALRS_dyadic_swap(D,E) mpfr_swap(D,E)
// I/O functions
#define CGALRS_dyadic_out_str(F,D) mpfr_out_str(F,10,0,D,GMP_RNDN)
#ifdef __cplusplus
inline std::ostream& operator<<(std::ostream &s,CGALRS_dyadic_srcptr op){
mp_exp_t exponent;
mpz_t mantissa;
mpz_init(mantissa);
exponent=mpfr_get_z_exp(mantissa,op);
s<<"["<<mantissa<<","<<exponent<<"]";
return s;
}
#endif
#endif // CGAL_RS_DYADIC_H
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