Mercurial > hg > octave-kai > gnulib-hg
changeset 9939:11aa2931dfc7
Make floorlog10 function more precise.
author | Bruno Haible <bruno@clisp.org> |
---|---|
date | Sat, 19 Apr 2008 17:55:05 +0200 |
parents | 9f8c455639fc |
children | 0471a8660b70 |
files | ChangeLog lib/vasnprintf.c |
diffstat | 2 files changed, 9 insertions(+), 4 deletions(-) [+] |
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--- a/ChangeLog +++ b/ChangeLog @@ -1,3 +1,8 @@ +2008-04-19 Bruno Haible <bruno@clisp.org> + + * lib/vasnprintf.c (floorlog10l, floorlog10): Reduce maximum error + from 0.0058 to less than 10^-7. + 2008-04-19 Bruno Haible <bruno@clisp.org> Fix rounding when a precision is given.
--- a/lib/vasnprintf.c +++ b/lib/vasnprintf.c @@ -1301,9 +1301,9 @@ } /* Now 0.95 <= z <= 1.01. */ z = 1 - z; - /* log(1-z) = - z - z^2/2 - z^3/3 - z^4/4 - ... + /* log2(1-z) = 1/log(2) * (- z - z^2/2 - z^3/3 - z^4/4 - ...) Four terms are enough to get an approximation with error < 10^-7. */ - l -= z * (1.0 + z * (0.5 + z * ((1.0 / 3) + z * 0.25))); + l -= 1.4426950408889634074 * z * (1.0 + z * (0.5 + z * ((1.0 / 3) + z * 0.25))); /* Finally multiply with log(2)/log(10), yields an approximation for log10(x). */ l *= 0.30102999566398119523; @@ -1392,9 +1392,9 @@ } /* Now 0.95 <= z <= 1.01. */ z = 1 - z; - /* log(1-z) = - z - z^2/2 - z^3/3 - z^4/4 - ... + /* log2(1-z) = 1/log(2) * (- z - z^2/2 - z^3/3 - z^4/4 - ...) Four terms are enough to get an approximation with error < 10^-7. */ - l -= z * (1.0 + z * (0.5 + z * ((1.0 / 3) + z * 0.25))); + l -= 1.4426950408889634074 * z * (1.0 + z * (0.5 + z * ((1.0 / 3) + z * 0.25))); /* Finally multiply with log(2)/log(10), yields an approximation for log10(x). */ l *= 0.30102999566398119523;