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

Authors:
Ping-Tak Peter Tang
Affiliations:
Argonne National Lab, Argonne, IL
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1990

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Abstract

Algorithms and implementation details for the logarithm functions in both single and double precision of IEEE 754 arithmetic are presented here. With a table of moderate size, the implementation need only working- precision arithmetic and are provably accurate to within 0.57 ulp.