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Reports (Research Report) Year : 2001

Correctly Rounded Exponential Function in Double Precision Arithmetic

David Defour
Florent de Dinechin
Jean-Michel Muller

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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Other [cs.OH]
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Dates and versions

inria-00072387 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072387 , version 1

Cite

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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