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Journal Articles BIT Numerical Mathematics Year : 2009

Computing predecessor and successor in rounding to nearest

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.
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Dates and versions

inria-00337537 , version 1 (07-11-2008)

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Siegfried Rump, Paul Zimmermann, Sylvie Boldo, Guillaume Melquiond. Computing predecessor and successor in rounding to nearest. BIT Numerical Mathematics, 2009, 49 (2), pp.419-431. ⟨10.1007/s10543-009-0218-z⟩. ⟨inria-00337537⟩
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