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

Handbook of Floating-Point Arithmetic (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 directly be put into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program in C.

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.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 572
• Erscheinungstermin: 11. November 2009
• Englisch
• ISBN-13: 9780817647056
• Artikelnr.: 37347441

Autorenporträt

Jean-Michel Muller (coordinator), CNRS, Laboratoire LIP, AriC team Nicolas Brunie, Kalray Florent de Dinechin, INSA Lyon, Laboratoire CITI, Socrate team Claude-Pierre Jeannerod, Inria, Laboratoire LIP, AriC team Mioara Joldes, CNRS, LAAS, MAC team Vincent Lefèvre, Inria, Laboratoire LIP, AriC team Guillaume Melquiond, Inria, Laboratoire LRI, Toccata team Nathalie Revol, Inria, Laboratoire LIP, AriC team Serge Torres, ENS de Lyon, Laboratoire LIP, AriC team

Inhaltsangabe

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.

Rezensionen

"The new edition of this book updates chapters to reflect recent changes to programming languages and compilers and the new prevalence of Graphic Processing Units in recent years. ... In the Appendix, the reader will find an introduction to relevant number theory tools ... . This book is designed for programmers of numerical applications ... and more generally students and researchers in numerical analysis who wish to more accurately understand a tool that they manipulate on an everyday basis." (T. C. Mohan, zbMATH 1394.65001, 2018)