A new version of the CADNA library for estimating round-off error propagation in Fortran programs

Abstract : The CADNA library enables one to estimate, using a probabilistic approach, round-off error propagation in any simulation program. CADNA provides new numerical types, the so-called stochastic types, on which round-off errors can be estimated. Furthermore CADNA contains the definition of arithmetic and relational operators which are overloaded for stochastic variables and the definition of mathematical functions which can be used with stochastic arguments. On 64-bit processors, depending on the rounding mode chosen, the mathematical library associated with the GNU Fortran compiler may provide incorrect results or generate severe bugs. Therefore the CADNA library has been improved to enable the numerical validation of programs on 64-bit processors.
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https://hal.archives-ouvertes.fr/hal-01146510
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Submitted on : Tuesday, April 28, 2015 - 2:46:26 PM
Last modification on : Tuesday, May 14, 2019 - 10:10:59 AM

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Fabienne Jézéquel, Jean-Marie Chesneaux, Jean-Luc Lamotte. A new version of the CADNA library for estimating round-off error propagation in Fortran programs. Computer Physics Communications, Elsevier, 2010, 181 (11), pp.1927-1928. ⟨10.1016/j.cpc.2010.07.012⟩. ⟨hal-01146510⟩

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