A Rational Rotation Method for Robust Geometric Algorithms (Extended Abstract)

Abstract

Algorithms in computational geometry often use the real-RAM model of computation. In particular, this model assumes that exact real numbers can be stored in and retrieved from memory in constant $O$ (1) time, and that field operations (+, -, *, /) and certain other operations (like square root, sine and cosine) are also "exact," and can be applied in constant time.