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Fast and correctly rounded logarithms in double-precision

Florent de Dinechin, Christoph Lauter, Jean-Michel Muller (2007)

RAIRO - Theoretical Informatics and Applications

This article is a case study in the implementation of a portable, proven and efficient correctly rounded elementary function in double-precision. We describe the methodology used to achieve these goals in the crlibm library. There are two novel aspects to this approach. The first is the proof framework, and in general the techniques used to balance performance and provability. The second is the introduction of processor-specific optimization to get performance equivalent to the best current...

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