2006

Elementary Functions

Algorithms and Implementation

Authors:

ISBN: 978-0-8176-4372-0 (Print) 978-0-8176-4408-6 (Online)

Table of contents (12 chapters)

  1. Introduction

    1. No Access

      Book Chapter

      Pages 1-7

      Introduction

  2. Some Basic Things About Computer Arithmetic

    1. No Access

      Book Chapter

      Pages 9-24

      Some Basic Things About Computer Arithmetic

  3. Algorithms Based on Polynomial Approximation and/or Table Lookup, Multiple-Precision Evaluation of Functions

    1. Front Matter

      Pages 25-25

    2. No Access

      Book Chapter

      Pages 27-66

      Polynomial or Rational Approximations

    3. No Access

      Book Chapter

      Pages 67-87

      Table-Based Methods

    4. No Access

      Book Chapter

      Pages 89-100

      Multiple-Precision Evaluation of Functions

  4. Shift-and-Add Algorithms

    1. Front Matter

      Pages 101-101

    2. No Access

      Book Chapter

      Pages 103-131

      Introduction to Shift-and-Add Algorithms

    3. No Access

      Book Chapter

      Pages 133-156

      The CORDIC Algorithm

    4. No Access

      Book Chapter

      Pages 157-169

      Some Other Shift-and-Add Algorithms

  5. Range Reduction, Final Rounding and Exceptions

    1. Front Matter

      Pages 171-171

    2. No Access

      Book Chapter

      Pages 173-191

      Range Reduction

    3. No Access

      Book Chapter

      Pages 193-216

      Final Rounding

    4. No Access

      Book Chapter

      Pages 217-223

      Miscellaneous

    5. No Access

      Book Chapter

      Pages 225-232

      Examples of Implementation