{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/interpolation-of-dense-and-sparse-rational","title":"Interpolation of Dense and Sparse Rational Functions and other Improvements in $\\texttt{FireFly}$","arxiv_id":"2004.01463","date":"2020-04-03","proceeding":null,"authors":["Jonas Klappert","Sven Yannick Klein","Fabian Lange"],"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.","url_abs":"https://arxiv.org/abs/2004.01463v2","url_pdf":"https://arxiv.org/pdf/2004.01463v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"interpolation-of-dense-and-sparse-rational","repo_url":"https://gitlab.com/firefly-library/firefly","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}