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Muller / Brisebarre / de Dinechin Handbook of Floating-Point Arithmetic
1. Auflage 2009
ISBN: 978-0-8176-4705-6
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 579 Seiten, Web PDF
Reihe: Mathematics and Statistics (R0)
ISBN: 978-0-8176-4705-6
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Introduction, Basic Definitions, and Standards.- Definitions and Basic Notions.- Floating-Point Formats and Environment.- Cleverly Using Floating-Point Arithmetic.- Basic Properties and Algorithms.- The Fused Multiply-Add Instruction.- Enhanced Floating-Point Sums, Dot Products, and Polynomial Values.- Languages and Compilers.- Implementing Floating-Point Operators.- Algorithms for the Five Basic Operations.- Hardware Implementation of Floating-Point Arithmetic.- Software Implementation of Floating-Point Arithmetic.- Elementary Functions.- Evaluating Floating-Point Elementary Functions.- Solving the Table Maker’s Dilemma.- Extensions.- Formalisms for Certifying Floating-Point Algorithms.- Extending the Precision.- Perspectives and Appendix.- Conclusion and Perspectives.- Appendix: Number Theory Tools for Floating-Point Arithmetic.
