AverageMathFunction Class Reference

Represents a function computing the average of several functions. More...

Inheritance diagram for AverageMathFunction:

Collaboration diagram for AverageMathFunction:

Public Member Functions
	AverageMathFunction (MathFunction... func)
	Constructs a function computing the average of the functions in the array func. More...
MathFunction []	getFunctions ()
	Returns the functions being averaged. More...
double	evaluate (double x)
	Returns the value of the function evaluated at \(x\). More...
double	derivative (double x, int n)
	Computes (or estimates) the \(n\)th derivative of the function at point x. More...
double	derivative (double x)
	Computes (or estimates) the first derivative of the function at point x. More...
double	integral (double a, double b)
	Computes (or estimates) the integral of the function over the interval \([a, b]\). More...

Detailed Description

Represents a function computing the average of several functions.

Let \(f_0(x), …, f_{n-1}(x)\) be a set of \(n\) functions. This function represents the average

\[ f(x)=\frac{1}{n}\sum_{i=0}^{n-1} f_i(x). \]

Constructor & Destructor Documentation

AverageMathFunction()

AverageMathFunction

(

MathFunction...

func

)

Constructs a function computing the average of the functions in the array func.

Parameters

func	the array of functions to average.

Member Function Documentation

derivative() [1/2]

double derivative	(	double	x,
		int	n
	)

Computes (or estimates) the \(n\)th derivative of the function at point x.

For \(n=0\), this returns the result of umontreal.ssj.functions.MathFunction.evaluate(double).

Parameters

x	the point to evaluate the derivate to.
n	the order of the derivative.

Returns

the resulting derivative.

Exceptions

IllegalArgumentException

if n is negative or 0.

Implements MathFunctionWithDerivative.

derivative() [2/2]

double derivative

(

double

x

)

Computes (or estimates) the first derivative of the function at point x.

Parameters

x	the point to evaluate the derivative to.

Returns

the value of the derivative.

Implements MathFunctionWithFirstDerivative.

evaluate()

double evaluate

(

double

x

)

Returns the value of the function evaluated at \(x\).

Parameters

x	value at which the function is evaluated

Returns

function evaluated at x

Implements MathFunction.

getFunctions()

MathFunction [] getFunctions

(

)

Returns the functions being averaged.

Returns

the averaged functions.

integral()

double integral	(	double	a,
		double	b
	)

Computes (or estimates) the integral of the function over the interval \([a, b]\).

Parameters

a	the starting point of the interval.
b	the ending point of the interval.

Returns

the value of the integral.

Implements MathFunctionWithIntegral.

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

• AverageMathFunction.java