Jean-Michel Muller, Nicolas Brunie, Florent De Dinechin, Claude-Pierre Jeannerod, Mioara Joldes, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol, Serge Torres

Handbook of Floating-Point Arithmetic (eBook, PDF)

• Format: PDF

Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 627
• Erscheinungstermin: 2. Mai 2018
• Englisch
• ISBN-13: 9783319765266
• Artikelnr.: 52944851

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)