Handbook of Floating-Point Arithmetic

Handbook of Floating-Point Arithmetic

Hardcover(2nd ed. 2018)

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Product Details

ISBN-13: 9783319765259
Publisher: Springer International Publishing
Publication date: 05/03/2018
Edition description: 2nd ed. 2018
Pages: 627
Product dimensions: 7.01(w) x 10.00(h) x (d)

About the Author

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

Table of Contents

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.

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