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authorvlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2016-06-06 10:07:47 +0000
committervlefevre <vlefevre@280ebfd0-de03-0410-8827-d642c229c3f4>2016-06-06 10:07:47 +0000
commitc813c5cb8996caea308298e4246fa8a17b49dc97 (patch)
treeca96cbb6d7e3901cf685e5b9ce05d069f1491d77
parentea6ee4a8b997f9f7c7ecf15e6b1f8bc218c9a021 (diff)
downloadmpfr-c813c5cb8996caea308298e4246fa8a17b49dc97.tar.gz
[TODO] Faithful rounding: small correction.
git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@10433 280ebfd0-de03-0410-8827-d642c229c3f4
-rw-r--r--TODO4
1 files changed, 2 insertions, 2 deletions
diff --git a/TODO b/TODO
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--- a/TODO
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@@ -463,8 +463,8 @@ Table of contents:
then by rounding this approximation to nearest.
Concerning the choice of the error bound, if the result x is equal to
1 + t, where t is a very small positive number, then the error bound
- needs to be at most ulp(1)/4 + t. Since t can be arbitrarily small,
- the error bound needs to be at most ulp(1)/4. And this error bound
+ needs to be at most ulp(x)/4 + t. Since t can be arbitrarily small,
+ the error bound needs to be at most ulp(x)/4. And this error bound
is sufficient in all cases. Note that with the even rounding rule or
rounding away from zero, it is not needed to relax the condition when
x is exactly representable.