Papers › Interpolation of Dense and Sparse Rational Functions and other Improvements in FireFly

Interpolation of Dense and Sparse Rational Functions and other Improvements in FireFly

3 Apr 2020arXiv:2004.01463links table onlyarchive 2025-07-28

Jonas Klappert, Sven Yannick Klein, Fabian Lange

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We present the main improvements and new features in version 2.0 of the open-source C++ library 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, FireFly now supports parallelization with MPI and offers new tools like a parser for expressions or an executable for the insertion of replacement tables.

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