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Journal articles
Fast and correctly rounded logarithms in double precision
Abstract : This article is a case study in the implementation of a portable, proven and efficient correctly rounded elementary function in double-precision. We describe the methodology used to achieve these goals in the crlibm library. There are two novel aspects to this approach. The first is the proof framework, and in general the techniques used to balance performance and provability. The second is the introduction of processor-specific optimization to get performance equivalent to the best current mathematical libraries, while trying to minimize the proof work. The implementation of the natural logarithm is detailed to illustrate these questions.
Cited literature [27 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00000007
Contributor : Jean-Michel Muller <>
Submitted on : Tuesday, April 24, 2007 - 4:52:17 PM
Last modification on : Thursday, November 21, 2019 - 2:23:46 AM
Document(s) archivé(s) le : Tuesday, September 21, 2010 - 1:27:02 PM
Contributor : Jean-Michel Muller <>
Submitted on : Tuesday, April 24, 2007 - 4:52:17 PM
Last modification on : Thursday, November 21, 2019 - 2:23:46 AM
Document(s) archivé(s) le : Tuesday, September 21, 2010 - 1:27:02 PM
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log.pdf
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- RR2005-37.pdf Publisher files allowed on an open archive
