org.apache.commons.math3.analysis.function
public class Gaussian extends java.lang.Object implements UnivariateDifferentiableFunction, DifferentiableUnivariateFunction
Modifier and Type | Class and Description |
---|---|
static class |
Gaussian.Parametric
Parametric function where the input array contains the parameters of
the Gaussian, ordered as follows:
Norm
Mean
Standard deviation
|
Modifier and Type | Field and Description |
---|---|
private double |
i2s2
Inverse of twice the square of the standard deviation.
|
private double |
is
Inverse of the standard deviation.
|
private double |
mean
Mean.
|
private double |
norm
Normalization factor.
|
Constructor and 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.
|
Modifier and Type | Method and Description |
---|---|
UnivariateFunction |
derivative()
Deprecated.
as of 3.1, replaced by
value(DerivativeStructure) |
DerivativeStructure |
value(DerivativeStructure t)
Simple mathematical function.
|
double |
value(double x)
Compute the value of the function.
|
private static double |
value(double xMinusMean,
double norm,
double i2s2) |
private final double mean
private final double is
private final double i2s2
private final double norm
public Gaussian(double norm, double mean, double sigma) throws NotStrictlyPositiveException
norm
- Normalization factor.mean
- Mean.sigma
- Standard deviation.NotStrictlyPositiveException
- if sigma <= 0
.public Gaussian(double mean, double sigma) throws NotStrictlyPositiveException
mean
- Mean.sigma
- Standard deviation.NotStrictlyPositiveException
- if sigma <= 0
.public Gaussian()
public double value(double x)
value
in interface UnivariateFunction
x
- Point at which the function value should be computed.@Deprecated public UnivariateFunction derivative()
value(DerivativeStructure)
derivative
in interface DifferentiableUnivariateFunction
private static double value(double xMinusMean, double norm, double i2s2)
xMinusMean
- x - mean
.norm
- Normalization factor.i2s2
- Inverse of twice the square of the standard deviation.x
.public DerivativeStructure value(DerivativeStructure t)
UnivariateDifferentiableFunction
classes compute both the
value and the first derivative of the function.
value
in interface UnivariateDifferentiableFunction
t
- function input valueCopyright (c) 2003-2013 Apache Software Foundation