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Num. Meth. Prog., 2014, Volume 15, Issue 4, Pages 631–643 (Mi vmp279)  

This article is cited in 1 scientific paper (total in 1 paper)

A parallel-processing-oriented method for the representation of multi-digit floating-point numbers

K. S. Isupov, A. N. Maltsev

Vyatka State University

Abstract: The extended precision of calculations is required in solving many scientific and engineering problems. The solution time is a critical parameter to accomplish and, therefore, new methods should be developed for fast high-precision arithmetic. In this paper a new modular-positional format for the representation of floating-point multi-digit numbers is proposed. The main concept of this format is to represent and ensure the digit-parallel processing of floating-point mantissas in residue number systems. The method of interval-positional characteristics is used to increase the speed of complex non-modular operations. Several algorithms for performing arithmetic operations and rounding in the new modular-positional floating-point format are considered. The results of studies of their vectorization efficiency and performance compared to some analogs (MPFR - Multiple Precision Floating-Point Reliable library, NTL - Number Theory Library, and Wolfram Mathematica) are discussed.

Keywords: residue number system, high-precision computations, modular-position floating-point format, multi-digit numbers, arithmetic operations, high performance.

Full text: PDF file (378 kB)
UDC: 519.6
Received: 09.10.2014

Citation: K. S. Isupov, A. N. Maltsev, “A parallel-processing-oriented method for the representation of multi-digit floating-point numbers”, Num. Meth. Prog., 15:4 (2014), 631–643

Citation in format AMSBIB
\Bibitem{IsuMal14}
\by K.~S.~Isupov, A.~N.~Maltsev
\paper A parallel-processing-oriented method for the representation of multi-digit floating-point numbers
\jour Num. Meth. Prog.
\yr 2014
\vol 15
\issue 4
\pages 631--643
\mathnet{http://mi.mathnet.ru/vmp279}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. K.S. Isupov, V. S. Knyazkov, “Arifmetika mnogokratnoi tochnosti na osnove sistem ostatochnykh klassov”, Programmnye sistemy: teoriya i prilozheniya, 7:1 (2016), 61–97  mathnet
  • Numerical methods and programming
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