Fast calculation of the exponential function using tables

Authors

DOI:

https://doi.org/10.26089/NumMet.v24r211

Keywords:

transcendental functions, architecture x86-64, Riemann problem, acceleration of calculations, tabulation of functions, AVX, AVX2, FMA

Abstract

In this paper, algorithms are described and compact software modules in the C language are presented for fast calculation of the exponential and logarithmic functions using tables for x86-64 architecture processors. The accuracy was evaluated and the performance was compared for some AMD and Intel processors. Generalization of the tabular approach has been implemented and tested for some trigonometric functions. On average, the proposed functions work 10 times faster than corresponding analogues from the standard mathematical library with prototypes in math.h.

Author Biographies

Eugene I. Vasilev

Volgograd State University,
Institute of Mathematics and Information Technologies
• Professor

Grigorii А. Ionov

Volgograd State University,
Institute of Mathematics and Information Technologies
• Student

Mikhail А. Ionov

Volgograd State University,
Institute of Mathematics and Information Technologies
• Student

References

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Published

07-04-2023

How to Cite

Васильев Е.И., Ионов Г.А., Ионов М.А. Fast Calculation of the Exponential Function Using Tables // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2023. 24. 142-151. doi 10.26089/NumMet.v24r211

Issue

Vol. 24 (2023): Issue 2.

Section

Methods and algorithms of computational mathematics and their applications

License

Copyright (c) 2023 Е. И. Васильев, Г. А. Ионов, М. А. Ионов

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.