Simple floating-point filters for the two-dimensional orientation problem

Journal
BIT  
Volume
56
Issue
2
Start Page
729
End Page
749
Citation
BIT Numerical Mathematics 2 (56): 729-749 (2016-06-01)
Publisher DOI
10.1007/s10543-015-0574-9
Scopus ID
2-s2.0-84937882728
Publisher
Springer Science + Business Media B.V
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.
Subjects
Computational geometry
Floating-point arithmetic
Floating-point filter
DDC Class
004: Informatik
More Funding Information
Supported by the CREST program, Japan Science and Technology Agency (JST).