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Java example source code file (HermiteParametricTest.java)

This example Java source code file (HermiteParametricTest.java) is included in the alvinalexander.com "Java Source Code Warehouse" project. The intent of this project is to help you "Learn Java by Example" TM.

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Java - Java tags/keywords

arraylist, collection, gaussianquadratureabstracttest, gaussintegratorfactory, hermiteparametrictest, max_num_points, object, override, parameters, sqrt_pi, suppresswarnings, util

The HermiteParametricTest.java Java example source code

 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *      http://www.apache.org/licenses/LICENSE-2.0
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * See the License for the specific language governing permissions and
 * limitations under the License.
package org.apache.commons.math3.analysis.integration.gauss;

import java.util.ArrayList;
import java.util.Collection;

import org.junit.runner.RunWith;
import org.junit.runners.Parameterized;
import org.junit.runners.Parameterized.Parameters;
import org.apache.commons.math3.util.FastMath;

 * Test of the {@link HermiteRuleFactory}.
 * This parameterized test extends the standard test for Gaussian quadrature
 * rule, where each monomial is tested in turn.
 * Parametrization allows to test automatically 0, 1, ... , {@link #MAX_NUM_POINTS}
 * quadrature rules.
public class HermiteParametricTest extends GaussianQuadratureAbstractTest {
    private static final double SQRT_PI = FastMath.sqrt(Math.PI);
    private static final GaussIntegratorFactory factory = new GaussIntegratorFactory();

     * The highest order quadrature rule to be tested.
    public static final int MAX_NUM_POINTS = 30;

     * Creates a new instance of this test, with the specified number of nodes
     * for the Gauss-Hermite quadrature rule.
     * @param numberOfPoints Order of integration rule.
     * @param maxDegree Maximum degree of monomials to be tested.
     * @param eps Value of ε.
     * @param numUlps Value of the maximum relative error (in ulps).
    public HermiteParametricTest(int numberOfPoints,
                                 int maxDegree,
                                 double eps,
                                 double numUlps) {
              maxDegree, eps, numUlps);

     * Returns the collection of parameters to be passed to the constructor of
     * this class.
     * Gauss-Hermite quadrature rules of order 1, ..., {@link #MAX_NUM_POINTS}
     * will be constructed.
     * @return the collection of parameters for this parameterized test.
    @SuppressWarnings("boxing") // OK here
    public static Collection<Object[]> getParameters() {
        final ArrayList<Object[]> parameters = new ArrayList();
        for (int k = 1; k <= MAX_NUM_POINTS; k++) {
            parameters.add(new Object[] { k, 2 * k - 1, Math.ulp(1d), 195 });
        return parameters;

    public double getExpectedValue(final int n) {
        if (n % 2 == 1) {
            return 0;

        final int iMax = n / 2;
        double p = 1;
        double q = 1;
        for (int i = 0; i < iMax; i++) {
            p *= 2 * i + 1;
            q *= 2;

        return p / q * SQRT_PI;

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