Title
The constructive reals as a Java library
Abstract
We describe an implementation of the computable (or constructive) real numbers as a pure Java library. To the user, the library interface appears very similar to that of some other numeric types provided by the standard Java library. The primary goal of the implementation is simplicity, so that the implementation could be easily understood, and to allow simple informal correctness arguments. We hope to demonstrate that even such a basic implementation of constructive real arithmetic can be useful in a number of contexts, including in a desk calculator utility distributed with the package. A secondary goal was to demonstrate that some second-order functions on the reals, such as restricted inverse and derivative operations, can be implemented with sufficient performance to be useful.
Year
DOI
Venue
2005
10.1016/j.jlap.2004.07.002
The Journal of Logic and Algebraic Programming
Keywords
Field
DocType
Constructive reals,Exact arithmetic,Java,Inverse function,Calculator
Discrete mathematics,Real arithmetic,Calculator,Programming language,Computer science,Constructive,Correctness,Inverse function,Theoretical computer science,Real number,Java,Desk
Journal
Volume
Issue
ISSN
64
1
1567-8326
Citations 
PageRank 
References 
3
0.42
7
Authors
1
Name
Order
Citations
PageRank
Hans Boehm163238.83