RealLib: an efficient implementation of exact real arithmetic. (English) Zbl 1112.65137

Lambov, Branimir

Math. Struct. Comput. Sci. 17, No. 1, 81-98 (2007).

Summary: 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.

MSC:

65Y15	Packaged methods for numerical algorithms
65G30	Interval and finite arithmetic

Keywords:

numerical examples; finite arithmetic; RealLib package; exact real number computations; hardware floating point

Software:

LBNL; PNM; RealLib; xrc; iRRAM