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Re: Numerical issues with sin()/cos()

From: Sergei Steshenko
Subject: Re: Numerical issues with sin()/cos()
Date: Wed, 28 Mar 2018 04:16:12 +0000 (UTC)

From: Gordon Haverland <address@hidden>
To: address@hidden 
Sent: Wednesday, March 28, 2018 1:53 AM
Subject: Re: Numerical issues with sin()/cos()

I ran across a fairly recent (2008) paper on some of the "dark arts" of
finding good approximations to mathematical functions.  It does in part
look at sin(x).

The paper has a preferred citation:

Florent De Dinechin, Christoph Lauter. Optimizing polynomials for
floating-point implementation. 12 pages. 2008. <ensl-00260563>

I believe the URL is:



Since Intel 80387 (see 
-> ) sine 
and cosine functions are part of the instruction set, so if one wants fast 
implementation, he's limited by what his x86 (if it's the case) provides.


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