Package org.apache.commons.math4.analysis.integration.gauss

Class GaussIntegratorFactory

java.lang.Object
org.apache.commons.math4.analysis.integration.gauss.GaussIntegratorFactory
public class GaussIntegratorFactory
extends java.lang.Object
Class that provides different ways to compute the nodes and weights to be used by the Gaussian integration rule.
Since:
3.1

  • Constructor Summary

    Constructors 
    Constructor Description
    GaussIntegratorFactory()  

  • Method Summary

    Modifier and Type Method Description
    SymmetricGaussIntegrator hermite​(int numberOfPoints)
    Creates a Gauss-Hermite integrator of the given order.
    GaussIntegrator laguerre​(int numberOfPoints)
    Creates a Gauss-Laguerre integrator of the given order.
    GaussIntegrator legendre​(int numberOfPoints)
    Creates a Gauss-Legendre integrator of the given order.
    GaussIntegrator legendre​(int numberOfPoints, double lowerBound, double upperBound)
    Creates a Gauss-Legendre integrator of the given order.
    GaussIntegrator legendreHighPrecision​(int numberOfPoints)
    Creates a Gauss-Legendre integrator of the given order.
    GaussIntegrator legendreHighPrecision​(int numberOfPoints, double lowerBound, double upperBound)
    Creates an integrator of the given order, and whose call to the integrate method will perform an integration on the given interval.

    Methods inherited from class java.lang.Object

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

  • Constructor Details

  • Method Details

    • laguerre

      public GaussIntegrator laguerre​(int numberOfPoints)
      Creates a Gauss-Laguerre integrator of the given order. The call to the integrate method will perform an integration on the interval \([0, +\infty)\): the computed value is the improper integral of \(e^{-x} f(x)\) where \(f(x)\) is the function passed to the integrate method.
      Parameters:
      numberOfPoints - Order of the integration rule.
      Returns:
      a Gauss-Legendre integrator.
      Since:
      4.0

    • legendre

      public GaussIntegrator legendre​(int numberOfPoints)
      Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the natural interval [-1 , 1].
      Parameters:
      numberOfPoints - Order of the integration rule.
      Returns:
      a Gauss-Legendre integrator.

    • legendre

      public GaussIntegrator legendre​(int numberOfPoints, double lowerBound, double upperBound) throws NotStrictlyPositiveException
      Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the given interval.
      Parameters:
      numberOfPoints - Order of the integration rule.
      lowerBound - Lower bound of the integration interval.
      upperBound - Upper bound of the integration interval.
      Returns:
      a Gauss-Legendre integrator.
      Throws:
      NotStrictlyPositiveException - if number of points is not positive

    • legendreHighPrecision

      public GaussIntegrator legendreHighPrecision​(int numberOfPoints) throws NotStrictlyPositiveException
      Creates a Gauss-Legendre integrator of the given order. The call to the integrate method will perform an integration on the natural interval [-1 , 1].
      Parameters:
      numberOfPoints - Order of the integration rule.
      Returns:
      a Gauss-Legendre integrator.
      Throws:
      NotStrictlyPositiveException - if number of points is not positive

    • legendreHighPrecision

      public GaussIntegrator legendreHighPrecision​(int numberOfPoints, double lowerBound, double upperBound) throws NotStrictlyPositiveException
      Creates an integrator of the given order, and whose call to the integrate method will perform an integration on the given interval.
      Parameters:
      numberOfPoints - Order of the integration rule.
      lowerBound - Lower bound of the integration interval.
      upperBound - Upper bound of the integration interval.
      Returns:
      a Gauss-Legendre integrator.
      Throws:
      NotStrictlyPositiveException - if number of points is not positive

    • hermite

      public SymmetricGaussIntegrator hermite​(int numberOfPoints)
      Creates a Gauss-Hermite integrator of the given order. The call to the integrate method will perform a weighted integration on the interval \([-\infty, +\infty]\): the computed value is the improper integral of \(e^{-x^2}f(x)\) where \(f(x)\) is the function passed to the integrate method.
      Parameters:
      numberOfPoints - Order of the integration rule.
      Returns:
      a Gauss-Hermite integrator.