Handbook of floating-point arithmetic
著者
書誌事項
Handbook of floating-point arithmetic
Birkhäuser, c2010
- : hbk
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注記
Includes bibliography and index
内容説明・目次
内容説明
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.
目次
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
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