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Implementation of the reciprocal square root in MPFR Zimmermann, Paul Multiple precision floating-point inverse square root correct rounding MPFR library We describe the implementation of the reciprocal square root --- also called inverse square root --- as a native function in the MPFR library. The difficulty is to implement Newton's iteration for the reciprocal square root on top's of GNU MP's extsc{mpn} layer, while guaranteeing a rigorous $1/2$ ulp bound on the roundoff error. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Paul Zimmermann 2008 Is Part Of Dagstuhl Seminar Proceedings, Volume 8021, Numerical Validation in Current Hardware Architectures (2008) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.08021.12 urn:nbn:de:0030-drops-14357 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08021.12 eng https://creativecommons.org/licenses/by/4.0/legalcode