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


From: Dan Sebald
Subject: [Octave-bug-tracker] [bug #48307] sinc loses precision for large arguments
Date: Tue, 5 Jul 2016 15:49:31 +0000 (UTC)
User-agent: Mozilla/5.0 (X11; Ubuntu; Linux x86_64; rv:42.0) Gecko/20100101 Firefox/42.0

Follow-up Comment #30, bug #48307 (project octave):

> I looked more carefully at bessel functions: my example in #48316 is a bit
flawed: it only uses integer inputs. The relative error is much larger for
nearby non-integer inputs. Maybe my expectations really are out-of-line with
common practice here! I apologize for the tone of my debate.

Well, I learned something.  It might actually be worthwhile fashioning this
type of analysis into a symbolic package demo.  The comparison against known
solutions is most insightful.  Could do a visual plot of the difference
between the arbitrary-precision value of the symbolic library and the double
result of the glibc library as x ranges in order of magnitude.  And a
comparison against the glibc library result for known solution like
(-3*sqrt(3)/(20000002*pi).

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