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

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.
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Article dans une revue
Numerical Algorithms, Springer Verlag, 2004, 37 (1-4), pp.367-375
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https://hal.inria.fr/inria-00099967
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Soumis le : mardi 26 septembre 2006 - 10:12:57
Dernière modification le : mardi 25 octobre 2016 - 17:01:43

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  • HAL Id : inria-00099967, version 1

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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. Numerical Algorithms, Springer Verlag, 2004, 37 (1-4), pp.367-375. 〈inria-00099967〉

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