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author | vlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4> | 2001-12-06 17:02:18 +0000 |
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committer | vlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4> | 2001-12-06 17:02:18 +0000 |
commit | 4cd418be036bc934b764c0bb3e5d0a343b0679a2 (patch) | |
tree | 85a452dcb0afe0fbf68bb7c0d075e60628d8a0ab /log10.c | |
parent | 60f681a1bcdd44906e3af2adaa11dfaeda54441b (diff) | |
download | mpfr-4cd418be036bc934b764c0bb3e5d0a343b0679a2.tar.gz |
Files log_base_*.c renamed.
git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@1629 280ebfd0-de03-0410-8827-d642c229c3f4
Diffstat (limited to 'log10.c')
-rw-r--r-- | log10.c | 147 |
1 files changed, 147 insertions, 0 deletions
diff --git a/log10.c b/log10.c new file mode 100644 index 000000000..b1e5e7d6f --- /dev/null +++ b/log10.c @@ -0,0 +1,147 @@ +/* mpfr_log10 -- log in base 10 + +Copyright (C) 2001 Free Software Foundation, Inc. + +This file is part of the MPFR Library. + +The MPFR Library is free software; 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 2.1 of the License, or (at your +option) any later version. + +The MPFR Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the MPFR Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "mpfr.h" +#include "mpfr-impl.h" + + /* The computation of r=log10(a) + + r=log10(a)=log(a)/log(10) + */ + +int +mpfr_log10 (mpfr_ptr r, mpfr_srcptr a , mp_rnd_t rnd_mode) +{ + + int inexact = 0; + + /* If a is NaN, the result is NaN */ + if (MPFR_IS_NAN(a)) + { + MPFR_SET_NAN(r); + MPFR_RET_NAN; + } + + /* If a is negative, the result is NaN */ + if (MPFR_SIGN(a) < 0) + { + if (!MPFR_IS_INF(a) && MPFR_IS_ZERO(a)) + { + MPFR_CLEAR_NAN(r); + MPFR_SET_INF(r); + if (MPFR_SIGN(r) > 0) + MPFR_CHANGE_SIGN(r); + return 0; + } + else + { + MPFR_SET_NAN(r); + MPFR_RET_NAN; + } + } + + MPFR_CLEAR_NAN(r); + + /* check for infinity before zero */ + if (MPFR_IS_INF(a)) + { + /* only +Inf can go here */ + MPFR_SET_INF(r); + if(MPFR_SIGN(r) < 0) + MPFR_CHANGE_SIGN(r); + return 0; + } + + /* Now we can clear the flags without damage even if r == a */ + + MPFR_CLEAR_INF(r); + + if (MPFR_IS_ZERO(a)) + { + MPFR_SET_INF(r); + if (MPFR_SIGN(r) > 0) + MPFR_CHANGE_SIGN(r); + /* Execption GMP*/ + return 0; + } + + /* If a is 1, the result is 0 */ + if (mpfr_cmp_ui(a,1) == 0) + { + MPFR_SET_SAME_SIGN(r,a); + MPFR_SET_ZERO(r); + return 0; + } + + + /* General case */ + { + /* Declaration of the intermediary variable */ + mpfr_t t, tt; + + /* Declaration of the size variable */ + mp_prec_t Nx = MPFR_PREC(a); /* Precision of input variable */ + mp_prec_t Ny = MPFR_PREC(r); /* Precision of input variable */ + + mp_prec_t Nt; /* Precision of the intermediary variable */ + long int err; /* Precision of error */ + + /* compute the precision of intermediary variable */ + Nt=MAX(Nx,Ny); + /* the optimal number of bits : see algorithms.ps */ + Nt=Nt+4+_mpfr_ceil_log2(Nt); + + /* initialise of intermediary variable */ + mpfr_init(t); + mpfr_init(tt); + + + /* First computation of log10 */ + do { + + /* reactualisation of the precision */ + mpfr_set_prec(t,Nt); + mpfr_set_prec(tt,Nt); + + /* compute log10 */ + mpfr_set_ui(t,10,GMP_RNDN); /* 10 */ + mpfr_log(t,t,GMP_RNDD); /* log(10) */ + mpfr_log(tt,a,GMP_RNDN); /* log(a) */ + mpfr_div(t,tt,t,GMP_RNDN); /* log(a)/log(10) */ + + + /* estimation of the error */ + err=Nt-4; + + /* actualisation of the precision */ + Nt += 10; + } while ((err<0) || !mpfr_can_round(t,err,GMP_RNDN,rnd_mode,Ny)); + + inexact = mpfr_set(r,t,rnd_mode); + + mpfr_clear(t); + mpfr_clear(tt); + } + return inexact; +} |