Floating-Point Formats and Environment

Jean-Michel Muller (), Nicolas Brisebarre (), Florent de Dinechin (), Claude-Pierre Jeannerod (), Vincent Lefèvre (), Guillaume Melquiond (), Nathalie Revol (), Damien Stehlé () and Serge Torres ()
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Jean-Michel Muller: École Normale Supérieure de Lyon, CNRS, Laboratoire LIP
Nicolas Brisebarre: École Normale Supérieure de Lyon, CNRS, Laboratoire LIP
Florent de Dinechin: École Normale Supérieure de Lyon, ENSL, Laboratoire LIP
Claude-Pierre Jeannerod: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Vincent Lefèvre: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Guillaume Melquiond: Parc Orsay Université, INRIA Saclay – Île-de- France
Nathalie Revol: École Normale Supérieure de Lyon, INRIA, Laboratoire LIP
Damien Stehlé: Macquarie University, and University of Sydney School of Mathematics and Statistics University of Sydney, CNRS
Serge Torres: École Normale Supérieure de Lyon, ENSL, Laboratoire LIP

Chapter Chapter 3 in Handbook of Floating-Point Arithmetic, 2010, pp 55-116 from Springer

Abstract: Abstract Our main focus in this chapter is the IEEE1 754-1985 Standard for Floating-Point Arithmetic [10], and its recent revision [187]. A paper written in 1981 by Kahan, Why Do We Need a Floating-Point Standard? [202], depicts the rather messy situation of floating-point arithmetic before the 1980s. Anybody who estimates that the current standards are too constraining and that circuit and system manufacturers could build much more efficient machines without them should read that paper and think about it. Even if there were at that time a few reasonably good environments, the various systems available then were so different that writing portable yet reasonably efficient numerical software was extremely difficult.

Keywords: Single Precision; Binary Encode; Interchange Format; Decimal Format; Exponent Range (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4705-6_3

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