com.numericalmethod.suanshu.analysis.function.special
Class Gaussian

java.lang.Object
  com.numericalmethod.suanshu.analysis.function.rn2r1.UnivariateRealFunction
      com.numericalmethod.suanshu.analysis.function.special.Gaussian

All Implemented Interfaces:

Function, RealScalarFunction

public class Gaussian
extends UnivariateRealFunction

This computes the Gaussian function.

f(x) = a * exp{-(x - b)2 / 2 / c2}

See Also:

Wikipedia: Gaussian function

Nested Class Summary

Nested classes/interfaces inherited from interface com.numericalmethod.suanshu.analysis.function.Function

Function.EvaluationException

Field Summary

double	a a as in f(x) = a * exp{-(x - b)2 / 2 / c2}
double	b b as in f(x) = a * exp{-(x - b)2 / 2 / c2}
double	c c as in f(x) = a * exp{-(x - b)2 / 2 / c2}

Constructor Summary

Gaussian()
Construct an instance to compute the standard Gaussian function.

Gaussian(double a, double b, double c)
Construct an instance to compute the Gaussian function.

Method Summary

double

evaluate(double x) Compute f(x).

Methods inherited from class com.numericalmethod.suanshu.analysis.function.rn2r1.UnivariateRealFunction

dimension4Domain, dimension4Range, evaluate

Methods inherited from class java.lang.Object

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

Field Detail

a

public final double a

a as in f(x) = a * exp{-(x - b)2 / 2 / c2}

b

public final double b

b as in f(x) = a * exp{-(x - b)2 / 2 / c2}

c

public final double c

c as in f(x) = a * exp{-(x - b)2 / 2 / c2}

Constructor Detail

Gaussian

public Gaussian(double a,
                double b,
                double c)

Construct an instance to compute the Gaussian function.

Parameters:

a - a

b - b

c - c

Gaussian

public Gaussian()

Construct an instance to compute the standard Gaussian function.

f(x) = 1 / sqrt(2 / PI) * exp{- x2 / 2}

Method Detail

evaluate

public double evaluate(double x)

Description copied from class: UnivariateRealFunction

Compute f(x).

Specified by:

evaluate in class UnivariateRealFunction

Parameters:

x - x

Returns:

f(x)