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.

About the Author

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 Lefèvre, 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

Reviews

“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)