2010

Handbook of Floating-Point Arithmetic

ISBN: 978-0-8176-4704-9 (Print) 978-0-8176-4705-6 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xxiii

  2. Introduction, Basic Definitions, and Standards

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-12

      Introduction

    3. No Access

      Book Chapter

      Pages 13-53

      Definitions and Basic Notions

    4. No Access

      Book Chapter

      Pages 55-116

      Floating-Point Formats and Environment

  3. Cleverly Using Floating-Point Arithmetic

    1. Front Matter

      Pages 117-117

    2. No Access

      Book Chapter

      Pages 119-150

      Basic Properties and Algorithms

    3. No Access

      Book Chapter

      Pages 151-179

      The Fused Multiply-Add Instruction

    4. No Access

      Book Chapter

      Pages 181-204

      Enhanced Floating-Point Sums, Dot Products, and Polynomial Values

    5. No Access

      Book Chapter

      Pages 205-235

      Languages and Compilers

  4. Implementing Floating-Point Operators

    1. Front Matter

      Pages 237-237

    2. No Access

      Book Chapter

      Pages 239-267

      Algorithms for the Five Basic Operations

    3. No Access

      Book Chapter

      Pages 269-320

      Hardware Implementation of Floating-Point Arithmetic

    4. No Access

      Book Chapter

      Pages 321-372

      Software Implementation of Floating-Point Arithmetic

  5. Elementary Functions

    1. Front Matter

      Pages 373-373

    2. No Access

      Book Chapter

      Pages 375-404

      Evaluating Floating-Point Elementary Functions

    3. No Access

      Book Chapter

      Pages 405-459

      Solving the Table Maker’s Dilemma

  6. Extensions

    1. Front Matter

      Pages 461-461

    2. No Access

      Book Chapter

      Pages 463-491

      Formalisms for Certifying Floating-Point Algorithms

    3. No Access

      Book Chapter

      Pages 493-516

      Extending the Precision

  7. Perspectives and Appendix

    1. Front Matter

      Pages 517-517

    2. No Access

      Book Chapter

      Pages 519-519

      Conclusion and Perspectives

    3. No Access

      Book Chapter

      Pages 521-528

      Appendix: Number Theory Tools for Floating-Point Arithmetic

  8. Back Matter

    Pages 529-572