Fast and correctly rounded logarithms in double precision

Jean-Michel Muller 1, 2 Florent de Dinechin 1, 2 Christoph Lauter 1, 2
2 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

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 : Wednesday, November 20, 2019 - 8:00:28 AM
Long-term archiving on : Tuesday, September 21, 2010 - 1:27:02 PM

Files

log.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

Jean-Michel Muller, Florent de Dinechin, Christoph Lauter. Fast and correctly rounded logarithms in double precision. RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), EDP Sciences, 2007, 41 (1), pp.85-102. ⟨10.1051/ita:2007003⟩. ⟨ensl-00000007v2⟩

Share

Metrics

Record views

226

Files downloads

626