1 /*
2 * Licensed to the Apache Software Foundation (ASF) under one or more
3 * contributor license agreements. See the NOTICE file distributed with
4 * this work for additional information regarding copyright ownership.
5 * The ASF licenses this file to You under the Apache License, Version 2.0
6 * (the "License"); you may not use this file except in compliance with
7 * the License. You may obtain a copy of the License at
8 *
9 * https://www.apache.org/licenses/LICENSE-2.0
10 *
11 * Unless required by applicable law or agreed to in writing, software
12 * distributed under the License is distributed on an "AS IS" BASIS,
13 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14 * See the License for the specific language governing permissions and
15 * limitations under the License.
16 */
17
18 /*
19 * This is not the original file distributed by the Apache Software Foundation
20 * It has been modified by the Hipparchus project
21 */
22 package org.hipparchus.analysis.integration.gauss;
23
24 import java.util.ArrayList;
25 import java.util.Collection;
26
27 import org.junit.runner.RunWith;
28 import org.junit.runners.Parameterized;
29 import org.junit.runners.Parameterized.Parameters;
30
31 /**
32 * Test of the {@link LegendreRuleFactory}.
33 * This parameterized test extends the standard test for Gaussian quadrature
34 * rule, where each monomial is tested in turn.
35 * Parametrization allows to test automatically 0, 1, ... , {@link #MAX_NUM_POINTS}
36 * quadrature rules.
37 *
38 */
39 @RunWith(value=Parameterized.class)
40 public class LegendreParametricTest extends GaussianQuadratureAbstractTest {
41 private static final GaussIntegratorFactory factory = new GaussIntegratorFactory();
42
43 /**
44 * The highest order quadrature rule to be tested.
45 */
46 public static final int MAX_NUM_POINTS = 30;
47
48 /**
49 * Creates a new instance of this test, with the specified number of nodes
50 * for the Gauss-Legendre quadrature rule.
51 *
52 * @param numberOfPoints Order of integration rule.
53 * @param maxDegree Maximum degree of monomials to be tested.
54 * @param eps Value of ε.
55 * @param numUlps Value of the maximum relative error (in ulps).
56 */
57 public LegendreParametricTest(int numberOfPoints,
58 int maxDegree,
59 double eps,
60 double numUlps) {
61 super(factory.legendre(numberOfPoints),
62 maxDegree, eps, numUlps);
63 }
64
65 /**
66 * Returns the collection of parameters to be passed to the constructor of
67 * this class.
68 * Gauss-Legendre quadrature rules of order 1, ..., {@link #MAX_NUM_POINTS}
69 * will be constructed.
70 *
71 * @return the collection of parameters for this parameterized test.
72 */
73 @Parameters
74 public static Collection<Object[]> getParameters() {
75 final ArrayList<Object[]> parameters = new ArrayList<Object[]>();
76 for (int k = 1; k <= MAX_NUM_POINTS; k++) {
77 parameters.add(new Object[] { k, 2 * k - 1, Math.ulp(1d), 91d });
78 }
79 return parameters;
80 }
81
82 @Override
83 public double getExpectedValue(final int n) {
84 if (n % 2 == 1) {
85 return 0;
86 }
87 return 2d / (n + 1);
88 }
89 }