Re: [Boost-bugs] [Boost C++ Libraries] #12066: Accuracy of modified Bessel functions

Subject: Re: [Boost-bugs] [Boost C++ Libraries] #12066: Accuracy of modified Bessel functions
From: Boost C++ Libraries (noreply_at_[hidden])
Date: 2016-03-14 08:09:46

#12066: Accuracy of modified Bessel functions
  Reporter: Pavel Holoborodko <pavel@…> | Owner: johnmaddock
      Type: Library Submissions | Status: new
 Milestone: To Be Determined | Component: math
   Version: Boost 1.61.0 | Severity: Optimization
Resolution: | Keywords:

Comment (by Pavel Holoborodko <pavel@…>):

 @"...none of our input test values have more than 23-bit precision."

 Probably this affects the accuracy tests. I use 50K uniformly distributed
 test points (Mersenne-Twister) generated in full double precision. Then
 compute function value with 34 digits accuracy ("true" value) and compare
 with double precision counterpart.

 I think usage of extended precision is vital for measuring actual error of
 float/double precision routines, especially on magnitudes comparable to
 machine epsilon.

 I will try to prepare PR in near future (anyone more experienced with
 boost is very welcome to do this, as coefficients are publicly available).

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