Proposal for a Standardization of Mathematical Function Implementation in Floating-Point Arithmetic

David Defour 1 Guillaume Hanrot 2 Vincent Lefèvre 2 Jean-Michel Muller 1 Nathalie Revol 1 Paul Zimmermann 2
1 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
2 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Some aspects of what a standard for the implementation of the mathematical functions could be are presented. Firstly, the need for such a standard is motivated. Then the proposed standard is given. The question of roundings constitutes an important part of this paper: three levels are proposed, ranging from a level relatively easy to attain (with fixed maximal relative error) up to the best quality one, with correct rounding on the whole domain of every function. We do not claim that we always suggest the right choices, or that we have thought about all relevant issues. The mere goal of this paper is to raise questions and to launch the discussion towards a standard.
Document type :
Reports
Complete list of metadatas

https://hal.inria.fr/inria-00071249
Contributor : Rapport de Recherche Inria <>
Submitted on : Tuesday, May 23, 2006 - 2:52:20 PM
Last modification on : Thursday, February 7, 2019 - 2:21:02 PM
Long-term archiving on : Sunday, April 4, 2010 - 10:04:23 PM

Identifiers

  • HAL Id : inria-00071249, version 1

Citation

David Defour, Guillaume Hanrot, Vincent Lefèvre, Jean-Michel Muller, Nathalie Revol, et al.. Proposal for a Standardization of Mathematical Function Implementation in Floating-Point Arithmetic. [Research Report] RR-5406, INRIA. 2004. ⟨inria-00071249⟩

Share

Metrics

Record views

456

Files downloads

300