Handbook of Floating-Point Arithmetic. 2nd ed. 2018

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電子ブック

責任表示:

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

出版情報:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2018

著者名:

Muller, Jean-Michel.

Brunie, Nicolas.

de Dinechin, Florent.

Jeannerod, Claude-Pierre.

Joldes, Mioara.

Lefèvre, Vincent.

Melquiond, Guillaume.

Revol, Nathalie.

Torres, Serge.

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ISBN:

9783319765266 [3319765264]    

注記:

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.
This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standard’s technical features. Algorithms for floating-point arithmetic are presented throughout the book and illustrated where possible by example programs which show how these techniques appear in actual coding and design. The volume itself breaks its core topic into four parts: the basic concepts and history of floating-point arithmetic; methods of analyzing floating-point algorithms and optimizing them; implementations of IEEE 754-2008 in hardware and software; and useful extensions to the standard floating-point system, such as interval arithmetic, double- and triple-word arithmet

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