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Conclusion and Perspectives

  • Jean-Michel Muller
  • Nicolas Brisebarre
  • Florent de Dinechin
  • Claude-Pierre Jeannerod
  • Vincent Lefèvre
  • Guillaume Melquiond
  • Nathalie Revol
  • Damien Stehlé
  • Serge Torres
Chapter

Abstract

With the recent IEEE standard update resulting in IEEE 754-2008, computer arithmetic will soon see important changes: the fused multiply-add (FMA) instruction will probably be available on most processors, and correctly rounded functions (at least in some domains) and decimal arithmetic will be provided on most systems. Also, it should be easier to specify whether one wishes the implicit intermediate variables of an arithmetic expression to be computed and stored in the largest available format (to improve the accuracy of the calculations) or in a format clearly specified in the program (to enhance software portability and provability).

Keywords

Computational Mathematic Current Method Univariate Function Important Change Algorithm Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  • Jean-Michel Muller
    • 1
  • Nicolas Brisebarre
    • 1
  • Florent de Dinechin
    • 2
  • Claude-Pierre Jeannerod
    • 3
  • Vincent Lefèvre
    • 3
  • Guillaume Melquiond
    • 4
  • Nathalie Revol
    • 3
  • Damien Stehlé
    • 5
  • Serge Torres
    • 2
  1. 1.CNRS, Laboratoire LIPÉcole Normale Supérieure de LyonLyon Cedex 07France
  2. 2.ENSL, Laboratoire LIPÉcole Normale Supérieure de LyonLyon Cedex 07France
  3. 3.INRIA, Laboratoire LIPÉcole Normale Supérieure de LyonLyon Cedex 07France
  4. 4.INRIA Saclay – Île-de- FranceParc Orsay UniversitéOrsay CedexFrance
  5. 5.CNRSMacquarie University, and University of Sydney School of Mathematics and Statistics University of SydneySydneyAustralia

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