获得单精度Ulp精确倒数的尺度前-查找-尺度后加性方法

2011 IEEE 20th Symposium on Computer Arithmetic Pub Date : 2011-07-25 DOI:10.1109/ARITH.2011.31

D. Matula, Mihai T. Panu

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引用次数: 2

摘要

我们研究了利用加性预标度来减小用于确定除数倒数近似的输入范围。特别是，我们证明了单精度(24位)ulp精确单调近似倒数运算可以使用三个背对背的三项加法和二部表查找，总表大小小于6 kb。

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A Prescale-Lookup-Postscale Additive Procedure for Obtaining a Single Precision Ulp Accurate Reciprocal

We investigate the utilization of additive prescaling for reducing the input range for determining a divisor reciprocal approximation. In particular, we demonstrate that a single precision (24-bit) ulp accurate monotonic approximate reciprocal operation can be obtained employing three back-to-back three term additions and bipartite table lookup with total table size less than 6 Kbytes.

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来源期刊

2011 IEEE 20th Symposium on Computer Arithmetic

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