Proposal for a standardization of mathematical functions. Numerical algorihms (2004)
| Venue: | in « Numerical Algorithms |
| Citations: | 12 - 3 self |
BibTeX
@INPROCEEDINGS{Defour04proposalfor,
author = {David Defour and Guillaume Hanrot and Vincent Lefèvre and Jean-michel Muller and Nathalie Revol and Paul Zimmermann},
title = {Proposal for a standardization of mathematical functions. Numerical algorihms},
booktitle = {in « Numerical Algorithms},
year = {2004},
pages = {367--375}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
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 range 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. 1 Introductory discussion We take the opportunity of the current discussion on the revision of the IEEE-754 Standard for Floating-Point Arithmetic to discuss the possibility of standardizing (some of) the elementary functions. “Elementary ” or
