Cube Root

Interface

CubeRoot

Range reduction involves determining the power of 2 of the argument. A polynomial of degree 2 applied to the mantissa, and multiplication by the cube root of 1, 2, or 4 approximates the root to within about 0.1%. Then Newton's iteration is used three times to converge to an accurate result.

Accuracy:

<pre> Relative error: arithmetic domain # trials peak rms DEC -10,10 200000 1.8e-17 6.2e-18 IEEE 0,1e308 30000 1.5e-16 5.0e-17 </pre>

References

Cephes Math Library Release 2.8: June, 2000

Parameters

x	input argument.

Authors

Stephen L. Moshier. Copyright 1984, 1991, 2000
Documentation by Will Bateman (August 2005)

Source Code

Source code is available when you buy a Commercial licence.

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