The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra

There is a growing interest in numeric-algebraic techniques in the computer algebra community as such techniques can speed up many applications. This paper is concerned with one such approach called Exact Numeric Computation (ENC). The ENC approach to algebraic number computation is based on iterative verified approximations, combined with constructive zero bounds. This paper describes Core 2, the latest version of the Core Library, a package designed for applications such as non-linear computational geometry. The adaptive complexity of ENC combined with filters makes such libraries practical. Core 2 smoothly integrates our algebraic ENC subsystem with transcendental functions with ε-accurate comparisons. This paper describes how the design of Core 2 addresses key software issues such as modularity, extensibility, and efficiency in a setting that combines algebraic and transcendental elements. Our redesign preserves the original goals of the Core Library, namely, to provide a simple...

• Type: Journal
• Year: 2010
• Where: ICMS
• Authors: Jihun Yu, Chee Yap, Zilin Du, Sylvain Pion, Hervé Brönnimann
• Keywords: Algebraic Enc Subsystem, Core 2, Core Library, ICMS 2010, Software Engineering