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| author | vlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4> | 2017-04-03 09:16:27 +0000 |
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| committer | vlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4> | 2017-04-03 09:16:27 +0000 |
| commit | 1543c40a4bf927230a0f93236f71688647a2ff32 (patch) | |
| tree | b87a4d59ec2a8ad4b053aeee9da6b4b319c36f2d /TODO | |
| parent | 5e952138d666c5f9ecef9d29ebd081bb6448204d (diff) | |
| download | mpfr-1543c40a4bf927230a0f93236f71688647a2ff32.tar.gz | |
[TODO,src/atanh.c] Suggest a faster formula for atanh(x) on small x.
git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@11398 280ebfd0-de03-0410-8827-d642c229c3f4
Diffstat (limited to 'TODO')
| -rw-r--r-- | TODO | 1 |
1 files changed, 1 insertions, 0 deletions
@@ -300,6 +300,7 @@ Table of contents: Also mpfr_div uses the remainder computed by mpn_divrem. A workaround would be to first try with mpn_div_q, and if we cannot (easily) compute the rounding, then use the current code with mpn_divrem. +- improve atanh(x) for small x by using atanh(x) = log1p(2x/(1-x)). - compute exp by using the series for cosh or sinh, which has half the terms (see Exercise 4.11 from Modern Computer Arithmetic, version 0.3) The same method can be used for log, using the series for atanh, i.e., |