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Re: Question about Range class


From: Przemek Klosowski
Subject: Re: Question about Range class
Date: Fri, 25 Nov 2005 15:29:51 -0500 (EST)

   As an accuracy test I tried    sqrt(2)*sqrt(2)-2

   My TI calculator came back with...      1e-11     ...error
   octave came back with...             4.44e-16      ...interesting.  

You do know why this is, right? the error in such calculations is on the
order of a Least Significant Digit in whatever numbering system your machine
uses in the calculation. Octave uses double precision IEEE floating point,
which has 52 mantissa binary digits, so the error is on the order of 1/2^52
(octave variable 'eps', equal to ~ 2.220446e-16). TI calculators use a different
floating point format, BCD-based, if I remember correctly--and I'd guess it
uses 11 significant decimal digits.



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