Interface

#include <codecogs/maths/arithmetic/cube_root.h>

using namespace Maths::Arithmetic;

	double	cubeRoot (double x) Returns the cube root of the argument, which may be negative.
	Real	cc_cubeRoot (Real x) This function is available as a Microsoft Excel add-in.

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Function Documentation

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:

                       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
 

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:

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