Accuracy of Mathematical Functions in Single, Double, Extended Double and Quadruple Precision - Inria - Institut national de recherche en sciences et technologies du numérique
Preprints, Working Papers, ... Year : 2022

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

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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Dates and versions

hal-03141101 , version 1 (15-02-2021)
hal-03141101 , version 2 (10-01-2022)
hal-03141101 , version 3 (27-09-2022)
hal-03141101 , version 4 (14-02-2023)
hal-03141101 , version 5 (25-09-2023)
hal-03141101 , version 6 (15-02-2024)
hal-03141101 , version 7 (07-08-2024)

Identifiers

  • HAL Id : hal-03141101 , version 2

Cite

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