A new range-reduction algorithm

Jean-Michel Muller; Nicolas Brisebarre; Peter Kornerup; David Defour; Nathalie Revol

A new range-reduction algorithm

Jean-Michel Muller ^{1, 2} Nicolas Brisebarre ³ Peter Kornerup ⁴ David Defour ⁵ Nathalie Revol ^{1, 2}

1 LIP - Laboratoire de l'Informatique du Parallélisme

2 ARENAIRE - Computer arithmetic

Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme

3 LArAl - Laboratoire d'Arithmétique et d'Algèbre

4 IMADA - Department of Mathematics and Computer Science [Odense]

5 LP2A - Laboratoire de Physique Appliquée et d'Automatique

Abstract : Range-reduction is a key point for getting accurate elementary function routines. We introduce a new algorithm that is fast for input arguments belonging to the most common domains, yet accurate over the full double-precision range.

Keywords : floating point arithmetic elementary function evaluation range reduction

Document type :

Journal articles

Domain :

Computer Science [cs] / Other [cs.OH]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00086904
Contributor : Jean-Michel Muller <>
Submitted on : Thursday, July 20, 2006 - 12:41:24 PM
Last modification on : Thursday, February 7, 2019 - 2:25:11 PM
Long-term archiving on : Monday, April 5, 2010 - 10:38:17 PM

A new range-reduction algorithm

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A new range-reduction algorithm

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