Multiple Precision Interval Packages: Comparing Different Approaches

Markus Grimmer (1) , Knut Petras (2)  and Nathalie Revol (3) 
(1)  Universitaet Wuppertal, Wissenschaftliches Rechnen / Softwaretechnologie, 
     42097 Wuppertal, Germany
(2)  TU Braunschweig, Institut für Angewandte Mathematik, 38106 Braunschweig, 
     Germany
(3)  INRIA, LIP, École Normale Supérieure de Lyon, 69364 Lyon Cedex 07, France

Abstract
We give a survey on packages for multiple precision interval arithmetic, 
with the main focus on three specific packages. One is a Maple package, 
intpakX, and two are C/C++ libraries, GMP-XSC and MPFI. We discuss their 
different features, present timing results and show several applications 
from various fields, where high precision intervals are fundamental.