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Numerical methods and programming, 2023, Volume 24, Issue 2, Pages 142–151
DOI: https://doi.org/10.26089/NumMet.v24r211 (Mi vmp1080) 		 
Methods and algorithms of computational mathematics and their applications

Fast calculation of the exponential function using tables

E. I. Vasilev, G. А. Ionov, M. А. Ionov

Volgograd State University
Full-text PDF (672 kB)
DOI: https://doi.org/10.26089/NumMet.v24r211
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.
Keywords: transcendental functions, architecture x86-64, Riemann problem, acceleration of calculations, tabulation of functions, AVX, AVX2, FMA.
Received: 12.02.2023
Document Type: Article
UDC: 519.6
Language: Russian
Citation: E. I. Vasilev, G. А. Ionov, M. А. Ionov, “Fast calculation of the exponential function using tables”, Num. Meth. Prog., 24:2 (2023), 142–151
Citation in format AMSBIB
\Bibitem{VasIonIon23}
\by E.~I.~Vasilev, G.~А.~Ionov, M.~А.~Ionov
\paper Fast calculation of the exponential function using tables
\jour Num. Meth. Prog.
\yr 2023
\vol 24
\issue 2
\pages 142--151
\mathnet{http://mi.mathnet.ru/vmp1080}
\crossref{https://doi.org/10.26089/NumMet.v24r211}
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    		Numerical methods and programming
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