gridripper::math::SpecMath Class Reference

Special math functions. More...

List of all members.

Static Public Member Functions
static double	LambertW (double x)
	Lambert W function.
static double	smoothH (double x, double delta)
	Analytic approximation of the Heaviside step function.
static double	dsmoothH (double x, double delta)
	Derivative of smoothH.
static double	d2smoothH (double x, double delta)
	Second derivative of smoothH.

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Detailed Description

Special math functions.

Version:

0.5, 12/08/2008

Since:

GridRipper 0.5, 10/22/2008

Author:

Peter Csizmadia

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Member Function Documentation

static double gridripper::math::SpecMath::LambertW

(

double

x

)

[inline, static]

Lambert W function.

The inverse of f(w) = w*exp(w).

Parameters:

x

the function argument

Returns:

the value or NaN if x is smaller than -exp(-1)

static double gridripper::math::SpecMath::smoothH	(	double	x,
		double	delta
	)			[inline, static]

Analytic approximation of the Heaviside step function.

Parameters:

	x	the function argument
	delta	half size of the smooth region

Returns:

the analytic interpolation if abs(x) is less than delta, zero if x is less than -delta, 1 if x is greater than +delta

static double gridripper::math::SpecMath::dsmoothH	(	double	x,
		double	delta
	)			[inline, static]

Derivative of smoothH.

Parameters:

	x	the function argument
	delta	half size of the smooth region

Returns:

the derivative; zero if abs(x) is greater or equal to delta

static double gridripper::math::SpecMath::d2smoothH	(	double	x,
		double	delta
	)			[inline, static]

Second derivative of smoothH.

Parameters:

	x	the function argument
	delta	half size of the smooth region

Returns:

the second derivative; zero if abs(x) is greater or equal to delta

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The documentation for this class was generated from the following file:

• gridripper/math/SpecMath.java