1992•ACM Transactions on Mathematical SoftwareOpen access

Precise computation using range arithmetic, via C++

Oliver Aberth, Mark J. Schaefer

Abstract

An arithmetic is described that can replace floating-point arithmetic for programming tasks requiring assured accuracy. A general explanation is given of how the arithmetic is constructed with C++, and a programming example in this language is supplied. Times for solving representative problems are presented.

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Key concepts: Arbitrary-precision arithmetic, Saturation arithmetic, Arithmetic, Affine arithmetic, Floating point, Arithmetic circuit complexity, Computation, Double-precision floating-point format