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arXiv · 2004.01463

Interpolation of Dense and Sparse Rational Functions and other Improvements in $\texttt{FireFly}$

Jonas Klappert·Sven Yannick Klein·Fabian Lange
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Abstract

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.

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Jonas Klappert, Sven Yannick Klein, Fabian Lange. 2020-04-03. Interpolation of Dense and Sparse Rational Functions and other Improvements in $\texttt{FireFly}$. https://doi.org/10.1016/j.cpc.2021.107968

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