### Abstract

This paper is concerned with floating-point filters for a two dimensional orientation problem which is a basic problem in the field of computational geometry. If this problem is only approximately solved by floating-point arithmetic, then an incorrect result may be obtained due to accumulation of rounding errors. A floating-point filter can quickly guarantee the correctness of the computed result if the problem is well-conditioned. In this paper, a simple semi-static floating-point filter which handles floating-point exceptions such as overflow and underflow by only one branch is developed. In addition, an improved fully-static filter is developed.

Original language | English |
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Journal | BIT Numerical Mathematics |

DOIs | |

Publication status | Accepted/In press - 2015 Jul 25 |

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### Keywords

- Computational geometry
- Floating-point arithmetic
- Floating-point filter

### ASJC Scopus subject areas

- Computer Networks and Communications
- Software
- Applied Mathematics
- Computational Mathematics

### Cite this

*BIT Numerical Mathematics*. https://doi.org/10.1007/s10543-015-0574-9