基于泰勒级数展开的浮点除法算法述评

Jianglin Wei, A. Kuwana, Haruo Kobayashi, K. Kubo
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引用次数: 2

摘要

本文研究了基于泰勒级数展开的浮点除法算法。研究了1/x的若干中心点及其收敛范围的泰勒级数展开式,并展示了泰勒级数展开式除法算法在除法精度、乘法/加法/减法数量和LUT大小之间的权衡;设计人员可以为自己的数字除法选择最优算法,并根据本文介绍的内容进行概念架构设计。
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Revisit to Floating-Point Division Algorithm Based on Taylor-Series Expansion
This paper investigates floating-point division algorithms based on Taylor-series expansion. Taylor-series expansions of 1/x are examined for several center points with their convergence ranges, and show the Taylor-series expansion division algorithm trade-offs among division accuracy, numbers of multiplications/additions/subtractions and LUT sizes; the designer can choose the optimal algorithm for his digital division, and build its conceptual architecture design with the contents described here.
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