Package org.hipparchus.analysis.integration.gauss

Class FieldGaussIntegrator<T extends CalculusFieldElement<T>>

java.lang.Object

org.hipparchus.analysis.integration.gauss.FieldGaussIntegrator<T>

Type Parameters:

T - Type of the field elements.

Direct Known Subclasses:

SymmetricFieldGaussIntegrator

public class FieldGaussIntegrator<T extends CalculusFieldElement<T>>
extends Object

Class that implements the Gaussian rule for integrating a weighted function.

Since:

2.0

Constructor Summary

Constructors

Constructor	Description
FieldGaussIntegrator(Pair<T[],T[]> pointsAndWeights)	Creates an integrator from the given pair of points (first element of the pair) and weights (second element of the pair.
FieldGaussIntegrator(T[] points, T[] weights)	Creates an integrator from the given points and weights.

Method Summary

Modifier and Type	Method	Description
int	getNumberOfPoints()	Get order of the integration rule.
T	getPoint(int index)	Gets the integration point at the given index.
T	getWeight(int index)	Gets the weight of the integration point at the given index.
T	integrate(CalculusFieldUnivariateFunction<T> 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.

Methods inherited from class java.lang.Object

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

Constructor Details

FieldGaussIntegrator

public FieldGaussIntegrator(T[] points,
 T[] weights)
                     throws MathIllegalArgumentException

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 - Integration points.

weights - Weights of the corresponding integration nodes.

Throws:

MathIllegalArgumentException - if the points are not sorted in increasing order.

MathIllegalArgumentException - if points and weights don't have the same length

FieldGaussIntegrator

public FieldGaussIntegrator(Pair<T[],T[]> pointsAndWeights)
                     throws MathIllegalArgumentException

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

Parameters:

pointsAndWeights - Integration points and corresponding weights.

Throws:

MathIllegalArgumentException - if the points are not sorted in increasing order.

See Also:

• FieldGaussIntegrator(CalculusFieldElement[], CalculusFieldElement[])

Method Details

integrate

public T integrate(CalculusFieldUnivariateFunction<T> 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 - Function to integrate.

Returns:

the integral of the weighted function.

getNumberOfPoints

public int getNumberOfPoints()

Get order of the integration rule.

Returns:

the order of the integration rule (the number of integration points).

getPoint

public T 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 - index of the integration point

Returns:

the integration point.

getWeight

public T 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 - index of the integration point

Returns:

the weight.