4.7 Article

Interpolation of dense and sparse rational functions and other improvements in FireFly

Journal

COMPUTER PHYSICS COMMUNICATIONS
Volume 264, Issue -, Pages -

Publisher

ELSEVIER
DOI: 10.1016/j.cpc.2021.107968

Keywords

Finite field; Black-box interpolation; Modular arithmetic; Symbolic calculations; Feynman integral

Funding

  1. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [396021762 TRR 257]
  2. DFG, Germany [386986591]
  3. RWTH Aachen University, Germany [rwth0541]

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In version 2.0, FireFly has made algorithmic improvements, added support for both dense and sparse rational functions, introduced new tools, and optimized runtime performance through a Feynman-integral reduction.
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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