20 November 2001 Correctly rounded exponential function in double-precision arithmetic
Author Affiliations +
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.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
David Defour, Florent de Dinechin, 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); doi: 10.1117/12.448644; https://doi.org/10.1117/12.448644


Fast algorithms for signal reconstruction without phase
Proceedings of SPIE (September 20 2007)
Multiplicative and zero-crossing representations of signals
Proceedings of SPIE (October 11 1994)
Fast stochastic global optimization
Proceedings of SPIE (October 29 1993)
Irregular sampling algorithm for general subspaces
Proceedings of SPIE (December 04 2000)

Back to Top