某些超越函数的精确单调逼近

[1991] Proceedings 10th IEEE Symposium on Computer Arithmetic Pub Date : 1991-06-26 DOI:10.1109/ARITH.1991.145566

W. Ferguson, T. Brightman

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引用次数: 17

摘要

提出了一种计算函数F(x)的保持单调近似F/下标A /(x)的方法。该技术涉及计算F(x)的一个更精确的近似值，该近似值四舍五入以产生F/sub a/(x)的值。例如，仅使用几个额外的精度位就可以使80387兼容数学协处理器的Cyrix FasMath行上找到的精确超越函数单调。

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Accurate and monotone approximations of some transcendental functions

A technique for computing monotonicity preserving approximations F/sub a/(x) of a function F(x) is presented. This technique involves computing an extra precise approximation of F(x) that is rounded to produce the value of F/sub a/(x). For example, only a few extra bits of precision are used to make the accurate transcendental functions found on the Cyrix FasMath line of 80387 compatible math coprocessors monotonic.<>

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[1991] Proceedings 10th IEEE Symposium on Computer Arithmetic

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