Handbook of Floating-Point Arithmetic

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