Computing predecessor and successor in rounding to nearest

Siegfried Rump; Paul Zimmermann; Sylvie Boldo; Guillaume Melquiond

inria-00337537, version 1

Computing predecessor and successor in rounding to nearest

Siegfried Rump ^1, 2, Paul Zimmermann () ³, Sylvie Boldo () ⁴, Guillaume Melquiond () ⁵

BIT Numerical Mathematics 49, 2 (2009) 419-431

Résumé : We give simple and efficient methods to compute and/or estimate the predecessor and successor of a floating-point number using only floating-point operations in rounding to nearest. This may be used to simulate interval operations, in which case the quality in terms of the diameter of the result is significantly improved compared to existing approaches.

1 : Institute for Reliable Computing (IRC)
Technische Universität Hamburg-Harburg
2 : Faculty of Science and Engineering
Faculty of Science and Engineering
3 : CACAO (INRIA Lorraine - LORIA)
CNRS : UMR7503 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
4 : PROVAL (INRIA Saclay - Ile de France)
INRIA – Université Paris XI - Paris Sud – CNRS : UMR
5 : Microsoft Research - Inria Joint Centre (MSR - INRIA)
INRIA – Microsoft – Microsoft Research Laboratory Cambridge

inria-00337537, version 1
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Contributeur : Paul Zimmermann <>
Soumis le : Vendredi 7 Novembre 2008, 12:05:24
Dernière modification le : Mardi 22 Décembre 2009, 15:15:34

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DOI : 10.1007/s10543-009-0218-z

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