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Re: Sine and Cosine Accuracy

From: Marcin Dalecki <martin at dalecki dot de>
To: Olivier Galibert <galibert at pobox dot com>
Cc: Gabriel Dos Reis <gdr at integrable-solutions dot net>,Uros Bizjak <uros at kss-loka dot si>, Paul Koning <pkoning at equallogic dot com>,gcc at gcc dot gnu dot org
Date: Fri, 27 May 2005 17:31:31 +0200
Subject: Re: Sine and Cosine Accuracy
References: <429638A1.3080102@kss-loka.si> <m364x562uy.fsf@uniton.integrable-solutions.net> <20050527133651.GA86424@dspnet.fr.eu.org>

On 2005-05-27, at 15:36, Olivier Galibert wrote:

Floating point values represent intervals,


This is mathematically wrong. The basic concept is that the
calculations domain as given by floating point numbers is used
to *model* the real number calculus. Certain constrains apply of course.
But there isn't any concept of representation here. Just a mapping.

and when the interval size is way bigger than 2pi any value in [-1,1]
is a perfectably acceptable answer for sin or cos.

???

References:
- Re: Sine and Cosine Accuracy
  - From: Uros Bizjak
- Re: Sine and Cosine Accuracy
  - From: Gabriel Dos Reis
- Re: Sine and Cosine Accuracy
  - From: Olivier Galibert

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