Class SymmetricFieldGaussIntegrator<T extends CalculusFieldElement<T>>
java.lang.Object
org.hipparchus.analysis.integration.gauss.FieldGaussIntegrator<T>
org.hipparchus.analysis.integration.gauss.SymmetricFieldGaussIntegrator<T>
- Type Parameters:
T
- Type of the field elements.
public class SymmetricFieldGaussIntegrator<T extends CalculusFieldElement<T>>
extends FieldGaussIntegrator<T>
This class's implements
integrate
method assuming that the integral is symmetric about 0.
This allows to reduce numerical errors.- Since:
- 2.0
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Constructor Summary
ConstructorDescriptionSymmetricFieldGaussIntegrator
(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.SymmetricFieldGaussIntegrator
(T[] points, T[] weights) Creates an integrator from the givenpoints
andweights
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Method Summary
Modifier and TypeMethodDescriptionReturns an estimate of the integral off(x) * w(x)
, wherew
is a weight function that depends on the actual flavor of the Gauss integration scheme.Methods inherited from class org.hipparchus.analysis.integration.gauss.FieldGaussIntegrator
getNumberOfPoints, getPoint, getWeight
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Constructor Details
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SymmetricFieldGaussIntegrator
Creates an integrator from the givenpoints
andweights
. The integration interval is defined by the first and last value ofpoints
which must be sorted in increasing order.- Parameters:
points
- Integration points.weights
- Weights of the corresponding integration nodes.- Throws:
MathIllegalArgumentException
- if thepoints
are not sorted in increasing order.MathIllegalArgumentException
- if points and weights don't have the same length
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SymmetricFieldGaussIntegrator
public SymmetricFieldGaussIntegrator(Pair<T[], T[]> pointsAndWeights) throws MathIllegalArgumentExceptionCreates 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 thepoints
are not sorted in increasing order.- See Also:
-
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Method Details
-
integrate
Returns an estimate of the integral off(x) * w(x)
, wherew
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 theconstructor
.- Overrides:
integrate
in classFieldGaussIntegrator<T extends CalculusFieldElement<T>>
- Parameters:
f
- Function to integrate.- Returns:
- the integral of the weighted function.
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