From ce0a7b1a5e1d7649b30871ddde6e9cec0fd28495 Mon Sep 17 00:00:00 2001 From: enge Date: Mon, 17 Sep 2012 15:10:23 +0000 Subject: algorithms.tex: typo, keep rounding error separate from propagated error git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@1268 211d60ee-9f03-0410-a15a-8952a2c7a4e4 --- doc/algorithms.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'doc') diff --git a/doc/algorithms.tex b/doc/algorithms.tex index d69fecc..84f85c3 100644 --- a/doc/algorithms.tex +++ b/doc/algorithms.tex @@ -562,7 +562,7 @@ exponent than the operands, that is, if cancellation occurs. If $\appro {x_1}$ and $\appro {x_2}$, have the same sign, then there is no cancellation, $d_{R, n} \leq 0$ and \[ -\error (\appro x) \leq (k_{R,1} + k_{R,2} + c_R) 2^{\Exp (\appro x) - p}. +\error (\appro x) \leq (k_{R,1} + k_{R,2}) 2^{\Exp (\appro x) - p}. \] An analogous error bound holds for the imaginary part. -- cgit v1.2.1