Efficiency of Reproducible Level 1 BLAS

Chemseddine Chohra 1 Philippe Langlois 1 David Parello 1
1 DALI - Digits, Architectures et Logiciels Informatiques
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, UPVD - Université de Perpignan Via Domitia
Abstract : Numerical reproducibility failures appear in massively par-allel floating-point computations. One way to guarantee the numerical reproducibility is to extend the IEEE-754 correct rounding to larger com-puting sequences, as for instance for the BLAS libraries. Is the overcost for numerical reproducibility acceptable in practice? We present solu-tions and experiments for the level 1 BLAS and we conclude about the efficiency of these reproducible routines.
Keywords : Floating-Point Arithmetic BLAS Numerical Reproducibility
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Chemseddine Chohra, Philippe Langlois, David Parello. Efficiency of Reproducible Level 1 BLAS. SCAN: Scientific Computing, Computer Arithmetic, and Validated Numerics, Sep 2014, Würzburg, Germany. pp.99-108, ⟨10.1007/978-3-319-31769-4_8⟩. ⟨lirmm-01101723⟩

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