Handbook of Floating-Point Arithmetic

Jean-Michel / Brunie Muller

627 pages, parution le 23/05/2018

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Résumé

This handbook aims to provide a complete overview of modern floating-point arithmetic. This includes a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic.

Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program.

The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.

Part I: Introduction, Basic Definitions, and Standards.- Introduction.- Definitions and Basic Notations.- Floating-Point Formats and Environment.- Part II: Cleverly Using Floating-Point Arithmetic.- Basic Properties and Algorithms.- Enhanced FP Sums, Dot Products, and Polynomial Values.- Languages and Compilers.- Part III: Implementing Floating-Point Operators.- Algorithms for the Basic Operations.- Hardware Implementation of Floating-Point Arithmetic.- Software Implementation of Floating-Point Arithmetic.- Evaluating Floating-Point Elementary Functions.- Part IV: Extensions.- Complex Numbers.- Interval Arithmetic.- Verifying Floating-Point Arithmetic.- Extending the Precision.- Appendix A: Number Theory Tools.- Appendix B: Previous Standards.- References.- Index.Jean-Michel Muller (coordinator), CNRS, Laboratoire LIP, AriC teamNicolas Brunie, KalrayFlorent de Dinechin, INSA Lyon, Laboratoire CITI, Socrate teamClaude-Pierre Jeannerod, Inria, Laboratoire LIP, AriC teamMioara Joldes, CNRS, LAAS, MAC teamVincent Lefevre, Inria, Laboratoire LIP, AriC teamGuillaume Melquiond, Inria, Laboratoire LRI, Toccata teamNathalie Revol, Inria, Laboratoire LIP, AriC teamSerge Torres, ENS de Lyon, Laboratoire LIP, AriC team

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	PAPIER
Éditeur(s)	Birkhauser verlag
Auteur(s)	Jean-Michel / Brunie Muller
Parution	23/05/2018
Nb. de pages	627
EAN13	9783319765259

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Handbook of Floating-Point Arithmetic

Résumé

Caractéristiques techniques

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