Table-driven implementation of the exponential function in IEEE floating-point arithmetic

Algorithms and implementation details for the exponential function in both single- and double-precision of IEEE 754 arithmetic are presented here. With a table of moderate size, the implementations need only working-precision arithmetic and are provably accurate to within 0.54 ulp as long as the fin...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	ACM transactions on mathematical software 1989-06, Vol.15 (2), p.144-157
1. Verfasser:	Tang, Ping-Tak Peter
Format:	Artikel
Sprache:	eng
Schlagworte:	Arbitrary-precision arithmetic Design and analysis of algorithms Differential equations Error-correcting codes Exact sciences and technology Interpolation Interval arithmetic Mathematical analysis Mathematical software Mathematics Mathematics of computing Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Numerical differentiation Ordinary differential equations Randomness, geometry and discrete structures Sciences and techniques of general use Theory of computation
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Algorithms and implementation details for the exponential function in both single- and double-precision of IEEE 754 arithmetic are presented here. With a table of moderate size, the implementations need only working-precision arithmetic and are provably accurate to within 0.54 ulp as long as the final result does not underflow. When the final result suffers gradual underflow, the error is still no worse than 0.77 ulp.
ISSN:	0098-3500 1557-7295
DOI:	10.1145/63522.214389