Article ID Journal Published Year Pages File Type
427424 Information Processing Letters 2014 6 Pages PDF
Abstract

•Multi-precision arithmetic division algorithm is proposed.•It fixes the bug in the existing fastest algorithm for this problem in the literature.•Its performance remains same as that of the existing fastest algorithm, mentioned above.

Design and implementation of division algorithm is one of the most complicated problems in multi-precision arithmetic. Huang et al. [1] proposed an efficient multi-precision integer division algorithm, and experimentally showed that it is about three times faster than the most popular algorithms proposed by Knuth [2] and Smith [3]. This paper reports a bug in the algorithm of Huang et al. [1], and suggests the necessary corrections. The theoretical correctness proof of the proposed algorithm is also given. The resulting algorithm remains as fast as that of [1].

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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