Estimation of Round-off Errors in OpenMP Codes

Abstract : It is crucial to control round-off error propagation in numerical simulations, because they can significantly affect computed results, especially in parallel codes like OpenMP ones. In this paper, we present a new version of the CADNA library that enables the numerical validation of OpenMP codes. With a reasonable cost in terms of execution time, it enables one to estimate which digits in computed results are affected by round-off errors and to detect numerical instabilities that may occur during the execution. The interest of this new OpenMP-enabled CADNA version is shown on various applications, along with performance results on multi-core and many-core (Intel Xeon Phi) architectures.
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IWOMP 2016 - 12th International Workshop on OpenMP, Oct 2016, Nara, Japan. Springer International Publishing, 9903, pp.3-16, 2016, Lecture Notes in Computer Science. 〈10.1007/978-3-319-45550-1_1〉
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Pacôme Eberhart, Julien Brajard, Pierre Fortin, Fabienne Jézéquel. Estimation of Round-off Errors in OpenMP Codes. IWOMP 2016 - 12th International Workshop on OpenMP, Oct 2016, Nara, Japan. Springer International Publishing, 9903, pp.3-16, 2016, Lecture Notes in Computer Science. 〈10.1007/978-3-319-45550-1_1〉. 〈hal-01380131〉

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