First steps towards more numerical reproducibility

Fabienne Jézéquel 1 Philippe Langlois 2 Nathalie Revol 3
1 PEQUAN - Performance et Qualité des Algorithmes Numériques
LIP6 - Laboratoire d'Informatique de Paris 6
2 DALI - Digits, Architectures et Logiciels Informatiques
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, UPVD - Université de Perpignan Via Domitia
3 ARIC - Arithmetic and Computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : Questions whether numerical simulation is reproducible or not have been reported in several sensitive applications. Numerical reproducibility failure mainly comes from the finite precision of computer arithmetic. Results of floating-point computation depends on the computer arithmetic precision and on the order of arithmetic operations. Massive parallel HPC which merges, for instance, many-core CPU and GPU, clearly modifies these two parameters even from run to run on a given computing platform. How to trust such computed results? This paper presents how three classic approaches in computer arithmetic may provide some first steps towards more numerical reproducibility.
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Fabienne Jézéquel, Philippe Langlois, Nathalie Revol. First steps towards more numerical reproducibility. ESAIM: Proceedings and Surveys, EDP Sciences, 2014, ESAIM: Proceedings and Surveys, 45, pp.229-238. ⟨10.1051/proc/201445023⟩. ⟨lirmm-00872562⟩

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