Handbook of Floating-Point Arithmetic
Birkhauser Boston Inc (Verlag)
978-0-8176-4704-9 (ISBN)
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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 be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program.
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.
List of Figures List of Tables Preface I. Introduction, Basic Definitions, and Standards 1. Introduction 2. Definitions and Basic Notions 3. Floating-Point Formats and Environment II. Cleverly Using Floating-Point Arithmetic 4. Basic Properties and Algorithms 5. The Fused Multiply-Add Instructions 6. Enhanced Floating-Point Sums, Dot Products, and Polynomial Values 7. Languages and Compilers III. Implementing Floating-Point Operators 8. Algorithms for the Five Basic Operations 9. Hardware Implementation of Floating-Point Arithmetic 10. Software Implementation of Floating-Point Arithmetic IV. Elementary Functions 11. Evaluating Floating-Point Elementary Functions 12. Solving the Table Maker's Dilemma V. Extensions 13. Formalisms for Certifying Floating-Point Algorithms 14. Extending the Precision VI. Perspectives and Appendix 15. Conclusion and Perspectives 16. Appendix: Number Theory Tools for Floating-Point Arithmetic Bibliography Index
| Erscheint lt. Verlag | 1.12.2009 |
|---|---|
| Zusatzinfo | 66 Tables, black and white; XXIV, 572 p. |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 2750 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| ISBN-10 | 0-8176-4704-X / 081764704X |
| ISBN-13 | 978-0-8176-4704-9 / 9780817647049 |
| Zustand | Neuware |
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