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Method to compute an approximation to the reciprocal of the square root of a floating point number in IEEE format
Method to compute an approximation to the reciprocal of the square root of a floating point number in IEEE format
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机译:以IEEE格式计算浮点数平方根的倒数的近似值的方法
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摘要
Approximations of reciprocal square roots are provided in IEEE floating point binary format by obtaining an index from an input value, accessing a pair of table values and performing a limited number of simple and rapidly performed manipulations. The maximum relative error in the approximation thus provided is less than 0.75/2(2k+1) as compared with a maximum relative error of 1/2k+2 of known methods, where 2k is the number of table entries.
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机译:通过从输入值获取索引,访问一对表值并执行有限数量的简单快速执行的操作,可以以IEEE浮点二进制格式提供倒数平方根的近似值。这样提供的近似值中的最大相对误差小于0.75 / 2 (2k + 1) Sup>,而已知的最大相对误差为1/2 k + 2 Sup>方法,其中2 k Sup>是表条目的数量。
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