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.
https://hal.inria.fr/inria-00074367
Contributor : Rapport de Recherche Inria
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Submitted on : Wednesday, May 24, 2006 - 3:09:42 PM
Last modification on : Wednesday, September 12, 2018 - 2:14:16 PM
Long-term archiving on : Tuesday, April 12, 2011 - 4:44:15 PM
