Elementary Functions Algorithms and Implementation /

• Main Author: Muller, Jean-Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Edition: Second Edition.
• Subjects: Computer science.; Architecture, Computer.; Computers.; Computer science > Mathematics.; Numerical analysis.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Computer Science.; Theory of Computation.; Computer System Implementation.; Applications of Mathematics.; Numeric Computing.; Computational Science and Engineering.; Mathematics of Computing.

"An important topic, which is on the boundary between numerical analysis and computer science…. I found the book well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find. Moreover, there are ve...

Table of Contents:

• Some Basic Things About Computer Arithmetic
• Some Basic Things About Computer Arithmetic
• Algorithms Based on Polynomial Approximation and/or Table Lookup, Multiple-Precision Evaluation of Functions
• Polynomial or Rational Approximations
• Table-Based Methods
• Multiple-Precision Evaluation of Functions
• Shift-and-Add Algorithms
• to Shift-and-Add Algorithms
• The CORDIC Algorithm
• Some Other Shift-and-Add Algorithms
• Range Reduction, Final Rounding and Exceptions
• Range Reduction
• Final Rounding
• Miscellaneous
• Examples of Implementation.