RealLib: An efficient implementation of exact real arithmetic

Author:

LAMBOV BRANIMIR

Abstract

This paper is an introduction to the RealLib package for exact real number computations. The library provides certified accuracy, but tries to achieve this at performance close to the performance of hardware floating point for problems that do not require higher precision. The paper gives the motivation and features of the design of the library and compares it with other packages for exact real arithmetic.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,Mathematics (miscellaneous)

Reference16 articles.

1. Computability in Analysis and Physics

2. Edalat A. (2001) Exact Real Number Computation Using Linear Fractional Transformations. Final Report on EPSRC grant GR/L43077/01. (Available at http://www.doc.ic.ac.uk/~ae/exact-computation/exactarithmeticfinal.ps.gz.)

3. Precise computation using range arithmetic, via C++

4. Complexity Theory of Real Functions

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