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Correctly Rounded Exponential Function in Double Precision Arithmetic

David Defour 1 Florent de Dinechin 1 Jean-Michel Muller 1
1 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
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 IEEE-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 2.3 times slowdown when compared to the standard library function.
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Submitted on : Wednesday, May 24, 2006 - 9:50:04 AM
Last modification on : Friday, February 4, 2022 - 3:18:57 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:10:57 PM


  • HAL Id : inria-00072387, version 1



David Defour, Florent de Dinechin, Jean-Michel Muller. Correctly Rounded Exponential Function in Double Precision Arithmetic. [Research Report] RR-4231, INRIA. 2001. ⟨inria-00072387⟩



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