Apache Commons Math 3.6.1 · org.apache.commons.math3.analysis.integration.gauss.GaussIntegrator

Modifier and Type	Field and Description
private final double[]	points Nodes.
private final double[]	weights Nodes weights.

Constructor Summary

Access	Constructor and Description
public	GaussIntegrator(double[] Integration points. points, double[] Weights of the corresponding integration nodes. weights) Creates an integrator from the given `points` and `weights`.
public	GaussIntegrator(Pair<double[], double[]> Integration points and corresponding weights. pointsAndWeights) Creates an integrator from the given pair of points (first element of the pair) and weights (second element of the pair.

Method Summary

Modifier and Type	Method and Description
public int	Returns: the order of the integration rule (the number of integration points). getNumberOfPoints()
public double	Returns: the integration point. getPoint(int index of the integration point index) Gets the integration point at the given index.
public double	Returns: the weight. getWeight(int index of the integration point index) Gets the weight of the integration point at the given index.
public double	Returns: the integral of the weighted function. integrate(UnivariateFunction Function to integrate. f) Returns an estimate of the integral of `f(x) * w(x)`, where `w` is a weight function that depends on the actual flavor of the Gauss integration scheme.

Inherited from java.lang.Object:: clone equals finalize getClass hashCode notify notifyAll toString wait wait wait

Field Detail

points	back to summary
private final double[] points Nodes.

weights	back to summary
private final double[] weights Nodes weights.

Constructor Detail

GaussIntegrator back to summary

GaussIntegrator	back to summary
public GaussIntegrator(double[] points, double[] weights) throws NonMonotonicSequenceException, DimensionMismatchException Creates an integrator from the given `points` and `weights`. The integration interval is defined by the first and last value of `points` which must be sorted in increasing order. Parameters points:double[] Integration points. weights:double[] Weights of the corresponding integration nodes. Exceptions NonMonotonicSequenceException: if the `points` are not sorted in increasing order. DimensionMismatchException: if points and weights don't have the same length

public GaussIntegrator(double[] points, double[] weights) throws NonMonotonicSequenceException, DimensionMismatchException

Creates an integrator from the given points and weights. The integration interval is defined by the first and last value of points which must be sorted in increasing order.

Parameters

points:double[]: Integration points.
weights:double[]: Weights of the corresponding integration nodes.

Exceptions

NonMonotonicSequenceException:: if the points are not sorted in increasing order.
DimensionMismatchException:: if points and weights don't have the same length

GaussIntegrator back to summary

GaussIntegrator	back to summary
public GaussIntegrator(Pair<double[], double[]> pointsAndWeights) throws NonMonotonicSequenceException Creates an integrator from the given pair of points (first element of the pair) and weights (second element of the pair. Parameters pointsAndWeights:Pair<double[], double[]> Integration points and corresponding weights. Exceptions NonMonotonicSequenceException: if the `points` are not sorted in increasing order. See Also `GaussIntegrator(double[], double[])`

public GaussIntegrator(Pair<double[], double[]> pointsAndWeights) throws NonMonotonicSequenceException

Creates an integrator from the given pair of points (first element of the pair) and weights (second element of the pair.

Parameters

pointsAndWeights:Pair<double[], double[]>: Integration points and corresponding weights.

Exceptions

NonMonotonicSequenceException:: if the points are not sorted in increasing order.

See Also

GaussIntegrator(double[], double[])

Method Detail

getNumberOfPoints	back to summary
public int getNumberOfPoints() Returns:int the order of the integration rule (the number of integration points).

getPoint	back to summary
public double getPoint(int index) Gets the integration point at the given index. The index must be in the valid range but no check is performed. Parameters index:int index of the integration point Returns:double the integration point.

getPoint

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public double getPoint(int index)

Gets the integration point at the given index. The index must be in the valid range but no check is performed.

Parameters

index:int: index of the integration point

Returns:double

the integration point.

getWeight	back to summary
public double getWeight(int index) Gets the weight of the integration point at the given index. The index must be in the valid range but no check is performed. Parameters index:int index of the integration point Returns:double the weight.

getWeight

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public double getWeight(int index)

Gets the weight of the integration point at the given index. The index must be in the valid range but no check is performed.

Parameters

index:int: index of the integration point

Returns:double

the weight.

integrate back to summary

integrate	back to summary
public double integrate(UnivariateFunction f) Returns an estimate of the integral of `f(x) * w(x)`, where `w` is a weight function that depends on the actual flavor of the Gauss integration scheme. The algorithm uses the points and associated weights, as passed to the `constructor`. Parameters f:UnivariateFunction Function to integrate. Returns:double the integral of the weighted function.

public double integrate(UnivariateFunction f)

Returns an estimate of the integral of f(x) * w(x), where w is a weight function that depends on the actual flavor of the Gauss integration scheme. The algorithm uses the points and associated weights, as passed to the constructor.

Parameters

f:UnivariateFunction: Function to integrate.

Returns:double

the integral of the weighted function.

public Class GaussIntegrator

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