Error Corrected K`th order Goldschmidt`s Floating Point Number Division

- Journal title : Journal of the Korea Institute of Information and Communication Engineering
- Volume 19, Issue 10, 2015, pp.2341-2349
- Publisher : The Korean Institute of Information and Commucation Engineering
- DOI : 10.6109/jkiice.2015.19.10.2341

Title & Authors

Error Corrected K`th order Goldschmidt`s Floating Point Number Division

Cho, Gyeong-Yeon;

Cho, Gyeong-Yeon;

Abstract

The commonly used Goldschmidt`s floating-point divider algorithm performs two multiplications in one iteration. In this paper, a tentative error corrected K`th Goldschmidt`s floating-point number divider algorithm which performs K times multiplications in one iteration is proposed. Since the number of multiplications performed by the proposed algorithm is dependent on the input values, the average number of multiplications per an operation in single precision and double precision divider is derived from many reciprocal tables with varying sizes. In addition, an error correction algorithm, which consists of one multiplication and a decision, to get exact result in divider is proposed. Since the proposed algorithm only performs the multiplications until the error gets smaller than a given value, it can be used to improve the performance of a divider unit. Also, it can be used to construct optimized approximate reciprocal tables.

Keywords

Floating point divider;K`th order Goldschmidt;Error correction Variable latency;

Language

Korean

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