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Article #128

References on High Precision Transcendentals

#128
From: Thomas J. Merritt
Date: Tue, 28 Jul 1992 17:55
18 lines
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I would like to be able to calculate sin/cos/... with ~60 digits of
precision using a floating point format that has a 224 bit mantissa.

I'm looking for references on how to calculate the coefficients that
would be needed for the polynomial approximations.  Cody and Waite
provide a greate discussion on how to write standard functions but only
list a limited set of coefficients none of which are helpful.
Computer Approximations by Hart, Et. Al., probably has enough theory in
it to derive things.  The tables that they provide would be great but,
agian, they do not provide the requiste precision for a 224 bit
mantissa.  I would much prefer a more applied discussion rather than
a theoretical one.

Any references to books or papers on the topic would be greately appreciated.
Pointers to actual code for calculating constants would invaluable.

Thomas J. Merritt
tjm@netcom.com
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Path: arc1-ca.pugleaf.net!sparky!uunet!olivea!decwrl!csus.edu!netcomsv!mork!tjm
From: tjm@netcom.com (Thomas J. Merritt)
Newsgroups: sci.math.num-analysis
Subject: References on High Precision Transcendentals
Message-ID: <81mmk2.tjm@netcom.com>
Date: 28 Jul 92 17:55:18 GMT
Organization: Code Generation Technology
Lines: 18