umontreal.iro.lecuyer.functions
Class IdentityMathFunction

java.lang.Object
  umontreal.iro.lecuyer.functions.IdentityMathFunction

All Implemented Interfaces:

MathFunction, MathFunctionWithDerivative, MathFunctionWithFirstDerivative, MathFunctionWithIntegral

public class IdentityMathFunction
extends Object
implements MathFunction, MathFunctionWithFirstDerivative, MathFunctionWithDerivative, MathFunctionWithIntegral

Represents the identity function f (x) = x.

Constructor Summary

IdentityMathFunction()

Method Summary

double	derivative(double x) Computes (or estimates) the first derivative of the function at point x.
double	derivative(double x, int n) Computes (or estimates) the nth derivative of the function at point x.
double	evaluate(double x) Returns the value of the function evaluated at x.
double	integral(double a, double b) Computes (or estimates) the integral of the function over the interval [a, b].

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

IdentityMathFunction

public IdentityMathFunction()

Method Detail

evaluate

public double evaluate(double x)

Description copied from interface: MathFunction

Returns the value of the function evaluated at x.

Specified by:

evaluate in interface MathFunction

Parameters:

x - value at which the function is evaluated

Returns:

function evaluated at x

derivative

public double derivative(double x)

Description copied from interface: MathFunctionWithFirstDerivative

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

Specified by:

derivative in interface MathFunctionWithFirstDerivative

Parameters:

x - the point to evaluate the derivative to.

Returns:

the value of the derivative.

derivative

public double derivative(double x,
                         int n)

Description copied from interface: MathFunctionWithDerivative

Computes (or estimates) the nth derivative of the function at point x. For n = 0, this returns the result of evaluate.

Specified by:

derivative in interface MathFunctionWithDerivative

Parameters:

x - the point to evaluate the derivate to.

n - the order of the derivative.

Returns:

the resulting derivative.

integral

public double integral(double a,
                       double b)

Description copied from interface: MathFunctionWithIntegral

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

Specified by:

integral in interface MathFunctionWithIntegral

Parameters:

a - the starting point of the interval.

b - the ending point of the interval.

Returns:

the value of the integral.