Correctly rounded exponential function in double-precision arithmetic

David Defour; Florent de Dinechin; Jean-Michel Muller

doi:10.1117/12.448644

20 November 2001 Correctly rounded exponential function in double-precision arithmetic

David Defour, Florent de Dinechin, Jean-Michel Muller

Proceedings Volume 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI; (2001) https://doi.org/10.1117/12.448644
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

We present an algorithm for implementing correctly rounded exponentials in double-precision floating point arithmetic. This algorithm is based on floating-point operations in the widespread EEE-754 standard, and is therefore more efficient than those using multiprecision arithmetic, while being fully portable. It requires a table of reasonable size and IEEE-754 double precision multiplications and additions. In a preliminary implementation, the overhead due to correct rounding is a 6 times slowdown when compared to the standard library function.

Citation Download Citation

David Defour, Florent de Dinechin, and Jean-Michel Muller "Correctly rounded exponential function in double-precision arithmetic", Proc. SPIE 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI, (20 November 2001); https://doi.org/10.1117/12.448644

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