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.hipparchus.util.Binary64;
28 import org.hipparchus.util.Binary64Field;
29 import org.hipparchus.util.FastMath;
30 import org.junit.runner.RunWith;
31 import org.junit.runners.Parameterized;
32 import org.junit.runners.Parameterized.Parameters;
33
34 /**
35 * Test of the {@link FieldHermiteRuleFactory}.
36 * This parameterized test extends the standard test for Gaussian quadrature
37 * rule, where each monomial is tested in turn.
38 * Parametrization allows to test automatically 0, 1, ... , {@link #MAX_NUM_POINTS}
39 * quadrature rules.
40 *
41 */
42 @RunWith(value=Parameterized.class)
43 public class FieldHermiteParametricTest extends FieldGaussianQuadratureAbstractTest {
44 private static final double SQRT_PI = FastMath.sqrt(Math.PI);
45 private static final FieldGaussIntegratorFactory<Binary64> factory = new FieldGaussIntegratorFactory<>(Binary64Field.getInstance());
46
47 /**
48 * The highest order quadrature rule to be tested.
49 */
50 public static final int MAX_NUM_POINTS = 30;
51
52 /**
53 * Creates a new instance of this test, with the specified number of nodes
54 * for the Gauss-Hermite quadrature rule.
55 *
56 * @param numberOfPoints Order of integration rule.
57 * @param maxDegree Maximum degree of monomials to be tested.
58 * @param eps Value of ε.
59 * @param numUlps Value of the maximum relative error (in ulps).
60 */
61 public FieldHermiteParametricTest(int numberOfPoints,
62 int maxDegree,
63 double eps,
64 double numUlps) {
65 super(factory.hermite(numberOfPoints),
66 maxDegree, eps, numUlps);
67 }
68
69 /**
70 * Returns the collection of parameters to be passed to the constructor of
71 * this class.
72 * Gauss-Hermite quadrature rules of order 1, ..., {@link #MAX_NUM_POINTS}
73 * will be constructed.
74 *
75 * @return the collection of parameters for this parameterized test.
76 */
77 @Parameters
78 public static Collection<Object[]> getParameters() {
79 final ArrayList<Object[]> parameters = new ArrayList<Object[]>();
80 final int [] numUlps = {
81 10, 10, 10, 10, 20,
82 20, 30, 30, 30, 40,
83 40, 60, 150, 150, 150,
84 150, 150, 150, 150, 200,
85 250, 250, 300, 300, 300,
86 300, 300, 300, 350, 350
87 };
88 for (int k = 1; k <= MAX_NUM_POINTS; k++) {
89 parameters.add(new Object[] { k, 2 * k - 1, Math.ulp(1d), numUlps[k - 1] });
90 }
91 return parameters;
92 }
93
94 @Override
95 public double getExpectedValue(final int n) {
96 if (n % 2 == 1) {
97 return 0;
98 }
99
100 final int iMax = n / 2;
101 double p = 1;
102 double q = 1;
103 for (int i = 0; i < iMax; i++) {
104 p *= 2 * i + 1;
105 q *= 2;
106 }
107
108 return p / q * SQRT_PI;
109 }
110 }