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authorvlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2001-12-06 17:02:18 +0000
committervlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2001-12-06 17:02:18 +0000
commit4cd418be036bc934b764c0bb3e5d0a343b0679a2 (patch)
tree85a452dcb0afe0fbf68bb7c0d075e60628d8a0ab /log10.c
parent60f681a1bcdd44906e3af2adaa11dfaeda54441b (diff)
downloadmpfr-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')
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+/* 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;
+}