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Parallel Online Exact Summation of Floating-point Numbers by Applying MapReduce of Java8

Parallel Online Exact Summation of Floating-point Numbers by Applying MapReduce of Java8
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Author(s): Naoshi Sakamoto (Tokyo Denki University, Tokyo, Japan)
Copyright: 2017
Volume: 5
Issue: 2
Pages: 16
Source title: International Journal of Software Innovation (IJSI)
Editor(s)-in-Chief: Roger Y. Lee (Central Michigan University, USA)and Lawrence Chung (The University of Texas at Dallas, USA)
DOI: 10.4018/IJSI.2017040102

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Abstract

Java8 introduced the notion of streams that is a new data structure and supports multi-core processors. When the sum method is called for a stream of floating-point numbers, the summation is calculated at high-speed by applying MapReduce, which distributes computations to cores. However, since floating-point calculation causes an error, simple adaptation of this method cannot determine the result uniquely. Then, in this study, the authors develop a summation program that can be applied to a stream with MapReduce. Their method can calculate at high-speed with keeping correctly rounded.

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