Handbook of Floating-Point Arithmetic / Edition 1

Handbook of Floating-Point Arithmetic / Edition 1

Pub. Date:
Birkhauser Verlag


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Handbook of Floating-Point Arithmetic / Edition 1

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.

Product Details

ISBN-13: 9780817647049
Publisher: Birkhauser Verlag
Publication date: 12/01/2009
Edition description: 2010
Pages: 572
Product dimensions: 7.20(w) x 10.20(h) x 1.50(d)

Table of Contents

List of Figures
List of Tables
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

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