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[Octave-bug-tracker] [bug #48307] sinc loses precision for large argumen


From: Colin Macdonald
Subject: [Octave-bug-tracker] [bug #48307] sinc loses precision for large arguments
Date: Mon, 4 Jul 2016 05:49:51 +0000 (UTC)
User-agent: Mozilla/5.0 (X11; Fedora; Linux x86_64; rv:47.0) Gecko/20100101 Firefox/47.0

Follow-up Comment #14, bug #48307 (project octave):

Sorry for speaking imprecisely.  Glibc's sin is a backwards stable algorithm:
we got the exact answer of a nearby problem, measured relatively.

We don't have the exact x, so we don't expect the exact answer.
But we hope for a good answer in the backward error sense: the answer we get
(5.62e-10) is the exact answer of sin(x+delta) where delta is small in a
relative sense to 10000000*pi.  This is what I take home from the example in
Comment #8 and #5.



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