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Accuracy of Mathematical Functions in Single, Double, Extended Double and Quadruple Precision

Vincenzo Innocente Paul Zimmermann 1 
1 CARAMBA - Cryptology, arithmetic : algebraic methods for better algorithms
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
Abstract : Computer users, most of whom assume they are working with reliable routines, unwittingly accept results from functions where the accuracies vary significantly from one mathematical library to another, from one library function to another, and even over different argument intervals of the same function. [...] Users are not likely to demand an improved situation because most of them, having neither the time nor the inclination to test manufacturer-supplied software, do not know the problem exists. This paper contains the results of such tests of elementary functions from several computer companies. The data (see Table I) demonstrate that the industry does not satisfy the needs of those who require accurate and efficient mathematical software.
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https://hal.inria.fr/hal-03141101
Contributor : Paul Zimmermann Connect in order to contact the contributor
Submitted on : Monday, January 10, 2022 - 11:00:57 AM
Last modification on : Wednesday, May 4, 2022 - 4:45:44 PM

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  • HAL Id : hal-03141101, version 2

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Vincenzo Innocente, Paul Zimmermann. Accuracy of Mathematical Functions in Single, Double, Extended Double and Quadruple Precision. 2022. ⟨hal-03141101v2⟩

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