论文标题

$ \ texttt {firefly} $的密集和稀疏合理功能的插值以及其他改进

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

论文作者

Klappert, Jonas, Klein, Sven Yannick, Lange, Fabian

论文摘要

我们在版本$ \ texttt {2.0} $中介绍了开源$ \ texttt {c ++} $库$ \ texttt {firefly} $的主要改进和新功能。这包括算法改进,例如一种用于识别和去除单变量因素的密集和稀疏合理功能的混合算法和算法。新版本应用于Feynman-Intergemal降低,以展示实现的运行时改进。此外,$ \ texttt {firefly} $现在用$ \ texttt {mpi} $支持并行化,并提供新工具(例如表达式的解析器)或用于插入替换表的可执行文件。

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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