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UID:submissions.pasc-conference.org_PASC21_sess182_post171@linklings.com
SUMMARY:P34 - A Direct Method to Assess Floating-Point Accuracy
DESCRIPTION:Poster\n\nP34 - A Direct Method to Assess Floating-Point Accur
 acy\n\nDemeure, Chevalier, Denis, Dossantos\n\nFloating-point numbers repr
 esent only a subset of real numbers. As such, floating-point arithmetic in
 troduces approximations that can compound and have a significant impact on
  numerical simulations.We introduce a new way to estimate the numerical er
 ror of an application and provide a reference implementation, the Shaman l
 ibrary. Our method uses dedicated arithmetic over a type that encapsulates
  both the result the user would have had with the original computation and
  an approximation of its numerical error. We thus can measure the number o
 f significant digits of any result or intermediate result in a simulation.
  We show that this approach, while simple, gives results competitive with 
 state of the art methods. It has a smaller overhead,and it is compatible w
 ith parallelism, which makes it suitable for the study of large scale appl
 ications.
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