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Proceedings Paper

Correctly rounded exponential function in double-precision arithmetic
Author(s): David Defour; Florent de Dinechin; Jean-Michel Muller
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Paper 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.

Paper Details

Date Published: 20 November 2001
PDF: 12 pages
Proc. SPIE 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI, (20 November 2001); doi: 10.1117/12.448644
Show Author Affiliations
David Defour, INRIA and Ecole Normale Superieure de Lyon (France)
Florent de Dinechin, INRIA and Ecole Normale Superieure de Lyon (France)
Jean-Michel Muller, INRIA and Ecole Normale Superieure de Lyon (France)


Published in SPIE Proceedings Vol. 4474:
Advanced Signal Processing Algorithms, Architectures, and Implementations XI
Franklin T. Luk, Editor(s)

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