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

1 June 1989

journal article
Published by Association for Computing Machinery (ACM) in ACM Transactions on Mathematical Software

Vol. 15 (2) , 144-157
https://doi.org/10.1145/63522.214389

Abstract

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.

Keywords

IMPLEMENTATION
EXPONENTIAL FUNCTION
IEEE
UNDERFLOW
TABLE
WORSE
FLOATING
DOUBLE

This publication has 1 reference indexed in Scilit:

Knowledge systems: Principles and practice
IBM Journal of Research and Development, 1986