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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Muller, JM. (1997). Miscellaneous. In: Elementary Functions. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2646-6_10
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2646-6_10
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4757-2648-0
Online ISBN: 978-1-4757-2646-6
eBook Packages: Springer Book Archive