Computer Science > Mathematical Software
[Submitted on 3 Apr 2020 (v1), last revised 3 May 2021 (this version, v2)]
Title:Interpolation of Dense and Sparse Rational Functions and other Improvements in $\texttt{FireFly}$
View PDFAbstract:We present the main improvements and new features in version $\texttt{2.0}$ of the open-source $\texttt{C++}$ library $\texttt{FireFly}$ for the interpolation of rational functions. This includes algorithmic improvements, e.g. a hybrid algorithm for dense and sparse rational functions and an algorithm to identify and remove univariate factors. The new version is applied to a Feynman-integral reduction to showcase the runtime improvements achieved. Moreover, $\texttt{FireFly}$ now supports parallelization with $\texttt{MPI}$ and offers new tools like a parser for expressions or an executable for the insertion of replacement tables.
Submission history
From: Fabian Lange [view email][v1] Fri, 3 Apr 2020 10:40:08 UTC (76 KB)
[v2] Mon, 3 May 2021 18:02:27 UTC (78 KB)
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