Abstract : 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.
https://hal.inria.fr/inria-00337537
Contributor : Paul Zimmermann
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Submitted on : Friday, November 7, 2008 - 12:05:24 PM
Last modification on : Friday, January 10, 2020 - 1:23:56 AM
Long-term archiving on: Monday, June 7, 2010 - 10:48:20 PM
Siegfried Rump, Paul Zimmermann, Sylvie Boldo, Guillaume Melquiond. Computing predecessor and successor in rounding to nearest. BIT Numerical Mathematics, Springer Verlag, 2009, 49 (2), pp.419-431. ⟨10.1007/s10543-009-0218-z⟩. ⟨inria-00337537⟩
