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| HAL : hal-00576641, version 1 |
| Fiche détaillée |  Récupérer au format |
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| How do you compute the midpoint of an interval? |
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| Frédéric Goualard 1 |
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| (14/03/2011) |
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| The algorithm that computes the midpoint of an interval with floating-point bounds requires some careful devising to correctly handle all possible inputs. We review several implementations from prominent C/C++ interval arithmetic packages and analyze their potential failure to deliver correct results. We then highlight two implementations that avoid common pitfalls. The results presented are also relevant to non-interval arithmetic computation such as the implementation of bisection methods. Enough background on IEEE 754 floating-point arithmetic is provided for this paper to serve as a practical introduction to the analysis of floating-point computation. |
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| 1 : | Laboratoire d'Informatique de Nantes Atlantique (LINA) |
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CNRS : UMR6241 – Université de Nantes – École Nationale Supérieure des Mines - Nantes |
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| Domaine | : | Informatique/Arithmétique des ordinateurs |
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| rounding error – floating-point number – midpoint – interval arithmetic – IEEE 754 standard |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00576641, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00576641 | |
| oai:hal.archives-ouvertes.fr:hal-00576641 | |
| Contributeur : Frédéric Goualard | |
| Soumis le : Mardi 15 Mars 2011, 09:26:32 | |
| Dernière modification le : Mardi 15 Mars 2011, 10:41:51 | |
