# Class Gaussian

java.lang.Object
org.hipparchus.analysis.function.Gaussian
All Implemented Interfaces:
UnivariateDifferentiableFunction, UnivariateFunction

public class Gaussian extends Object implements UnivariateDifferentiableFunction
Gaussian function.
• ## Nested Class Summary

Nested Classes
Modifier and Type
Class
Description
static class
Gaussian.Parametric
Parametric function where the input array contains the parameters of the Gaussian, ordered as follows: Norm Mean Standard deviation
• ## Constructor Summary

Constructors
Constructor
Description
Gaussian()
Normalized gaussian with zero mean and unit standard deviation.
Gaussian(double mean, double sigma)
Normalized gaussian with given mean and standard deviation.
Gaussian(double norm, double mean, double sigma)
Gaussian with given normalization factor, mean and standard deviation.
• ## Method Summary

Modifier and Type
Method
Description
double
value(double x)
Compute the value of the function.
<T extends Derivative<T>>T
value(T t)
Compute the value for the function.

### Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
• ## Constructor Details

• ### Gaussian

public Gaussian(double norm, double mean, double sigma) throws MathIllegalArgumentException
Gaussian with given normalization factor, mean and standard deviation.
Parameters:
norm - Normalization factor.
mean - Mean.
sigma - Standard deviation.
Throws:
MathIllegalArgumentException - if sigma <= 0.
• ### Gaussian

public Gaussian(double mean, double sigma) throws MathIllegalArgumentException
Normalized gaussian with given mean and standard deviation.
Parameters:
mean - Mean.
sigma - Standard deviation.
Throws:
MathIllegalArgumentException - if sigma <= 0.
• ### Gaussian

public Gaussian()
Normalized gaussian with zero mean and unit standard deviation.
• ## Method Details

• ### value

public double value(double x)
Compute the value of the function.
Specified by:
value in interface UnivariateFunction
Parameters:
x - Point at which the function value should be computed.
Returns:
the value of the function.
• ### value

public <T extends Derivative<T>> T value(T t) throws MathIllegalArgumentException
Compute the value for the function.
Specified by:
value in interface UnivariateDifferentiableFunction
Type Parameters:
T - the type of the field elements
Parameters:
t - the point for which the function value should be computed
Returns:
the value
Throws:
MathIllegalArgumentException - if x does not satisfy the function's constraints (argument out of bound, or unsupported derivative order for example)