Static Public Member Functions
static Float	evalFunction (RealRealFunction pFunction, const Float &x, Int n=0)
	Evaluate a real real function of the form y = f(x) at position x.
static Float	calcDerivative (RealRealFunction pFunction, const Float &x, Int n=1)
	Numerically approximate the n-th derivative f(n)(x) of a real real function.
static Float	integrate (RealRealFunction pFunction, const Float &x1, const Float &x2, bool bIntegrateAbsolutely=false, Int iIntervals=10000)
	Numerically integrate a real real function of the form y = f(x).

Detailed Description

TCalculusHelper is a static class encapsulating numerical calculus of real real functions, such as derivatives and integration.

Member Function Documentation

Float zeus::TCalculusHelper::calcDerivative	(	RealRealFunction	pFunction,
		const Float &	x,
		Int	n = `1`
	)		`[static]`

Numerically approximate the n-th derivative f(n)(x) of a real real function.

Numerically approximate the n-th derivative f(n)(x) of a real real function of the form

y = f(x)

at position x.

Parameters:

pFunction	[IN]: Pointer to a real real function.
x	[IN]: x value for which f(n)(x) is to be calculated.
n	[IN]: Order of the derivative.

Float zeus::TCalculusHelper::evalFunction	(	RealRealFunction	pFunction,
		const Float &	x,
		Int	n = `0`
	)		`[static]`

Evaluate a real real function of the form y = f(x) at position x.

Evaluate a real real function of the form

y = f(x)

at position x.

Parameters:

pFunction	[IN]: Pointer to a real real function.
x	[IN]: x value for which f(x) is to be calculated.
n	[IN]: Order of the derivative. Unused.

Float zeus::TCalculusHelper::integrate	(	RealRealFunction	pFunction,
		const Float &	x1,
		const Float &	x2,
		bool	bIntegrateAbsolutely = `false`,
		Int	iIntervals = `10000`
	)		`[static]`

Numerically integrate a real real function of the form y = f(x).

Numerically integrate a real real function of the form

y = f(x)

from position x1 to position x2.

Parameters:

pFunction	[IN]: Pointer to a real real function.
x1	[IN]: Start position of the integration interval.
x2	[IN]: End position of the integration interval.
bIntegrateAbsolutely	[IN]: If true, \|f(x)\| is integrated instead of f(x).
iIntervals	[IN]: Number of intervals for the numerical integration. A higher number implies higher precision, but longer calculation time.

Use a value of 1 for linear functions.

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