Advertisement

Miscellaneous

  • Jean-Michel Muller

Abstract

The handling of the exceptional cases (underflow, overflow, Not A Number, “inexact” flag...) requires even more caution with the elementary functions than with the basic operations +, -, ×, ÷, and the square root. This is due to the high nonlinearity of the elementary functions: when one obtains +∞ as the result1 of a calculation that only contains the four basic operations and the square root, this does not necessarily mean that the exact result is infinite or too large to be representable, but at least the exact result is likely to be fairly large. Similarly, when one obtains 0, the exact result is likely to be small.2. With the elementary functions, this is not always true. Consider the following examples.

Keywords

Elementary Function Exact Result Newton Iteration Arctangent Function Machine Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Jean-Michel Muller
    • 1
  1. 1.CNRS-Laboratoire LIPEcole Normale Superieure de LyonLyon Cedex 07France

Personalised recommendations