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Rapport Année : 2005

Formally certified floating-point filters for homogeneous geometric predicates

Guillaume Melquiond
Sylvain Pion

Résumé

Floating-point arithmetic provides a fast but inexact way of computing geometric predicates. In order for these predicates to be exact, it is important to rule out all the numerical situations where floating-point computations could lead to wrong results. Taking into account all the potential problems is a tedious work to do by hand. We study in this paper a floating-point implementation of a filter for the orientation-2 predicate, and how a formal and partially automatized verification of this algorithm avoided many pitfalls. The presented method is not limited to this particular predicate, it can easily be used to produce correct semi-static floating-point filters for other geometric predicates.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00071232 , version 1 (23-05-2006)
inria-00071232 , version 2 (04-12-2008)

Identifiants

  • HAL Id : inria-00071232 , version 1

Citer

Guillaume Melquiond, Sylvain Pion. Formally certified floating-point filters for homogeneous geometric predicates. RR-5644, 2005. ⟨inria-00071232v1⟩

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