Evaluating signs of determinants using single-precision arithmetic

Abstract : We propose a method to evaluate signs of $2\times 2$ and $3\times 3$ determinants with $b$-bit integer entries using only $b$ and $(b+1)$-bit arithmetic respectively. This algorithm has numerous applications in geometric computation and provides a general and practical approach to robustness. The algorithm has been implemented and experimental results show that it slows down the computing time by only a small factor only with respect to floating-point calculation.
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Rapport
[Research Report] RR-2306, INRIA. 1994
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https://hal.inria.fr/inria-00074367
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Soumis le : mercredi 24 mai 2006 - 15:09:42
Dernière modification le : mercredi 31 janvier 2018 - 10:24:04
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Francis Avnaim, Jean-Daniel Boissonnat, Olivier Devillers, Franco Preparata, Mariette Yvinec. Evaluating signs of determinants using single-precision arithmetic. [Research Report] RR-2306, INRIA. 1994. 〈inria-00074367〉

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