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1   // ******************************************************************************
2   //
3   // Title:       Force Field X.
4   // Description: Force Field X - Software for Molecular Biophysics.
5   // Copyright:   Copyright (c) Michael J. Schnieders 2001-2024.
6   //
7   // This file is part of Force Field X.
8   //
9   // Force Field X is free software; you can redistribute it and/or modify it
10  // under the terms of the GNU General Public License version 3 as published by
11  // the Free Software Foundation.
12  //
13  // Force Field X is distributed in the hope that it will be useful, but WITHOUT
14  // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
15  // FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
16  // details.
17  //
18  // You should have received a copy of the GNU General Public License along with
19  // Force Field X; if not, write to the Free Software Foundation, Inc., 59 Temple
20  // Place, Suite 330, Boston, MA 02111-1307 USA
21  //
22  // Linking this library statically or dynamically with other modules is making a
23  // combined work based on this library. Thus, the terms and conditions of the
24  // GNU General Public License cover the whole combination.
25  //
26  // As a special exception, the copyright holders of this library give you
27  // permission to link this library with independent modules to produce an
28  // executable, regardless of the license terms of these independent modules, and
29  // to copy and distribute the resulting executable under terms of your choice,
30  // provided that you also meet, for each linked independent module, the terms
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32  // module which is not derived from or based on this library. If you modify this
33  // library, you may extend this exception to your version of the library, but
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36  //
37  // ******************************************************************************
38  package ffx.numerics.integrate;
39  
40  import static ffx.numerics.integrate.Integration.generateTestData_v1;
41  import static ffx.numerics.integrate.Integration.halfBinComposite;
42  import static ffx.numerics.integrate.Integration.leftBoole;
43  import static ffx.numerics.integrate.Integration.leftRectangularMethod;
44  import static ffx.numerics.integrate.Integration.leftSimpsons;
45  import static ffx.numerics.integrate.Integration.leftTrapInput;
46  import static ffx.numerics.integrate.Integration.rightBoole;
47  import static ffx.numerics.integrate.Integration.rightRectangularMethod;
48  import static ffx.numerics.integrate.Integration.rightSimpsons;
49  import static ffx.numerics.integrate.Integration.rightTrapInput;
50  import static org.junit.Assert.assertEquals;
51  
52  import ffx.utilities.FFXTest;
53  import org.junit.Before;
54  import org.junit.Test;
55  
56  /**
57   * The IntegrationTest is a JUnit test for the Integration program that ensures that the integrals
58   * are calculated correctly. This test is run using known integrals calculated with the equation:
59   *
60   * <p>y = 10 sin(6x) - 7 cos(5x) + 11 sin(8x).
61   *
62   * @author Claire O'Connell
63   */
64  public class IntegrationTest extends FFXTest {
65  
66    /** Create array with pointers to doubles that will contain known integrals. */
67    private double[] knownIntegral;
68  
69    /** Compares the calculated integrals with the known values. */
70    @Test
71    public void integrationTest() {
72  
73      /*
74       *  Calculate the integrals using the left hand trapezoidal, Simpson's,
75       * and Boole's methods using data generated with the bounds 1 and 201
76       * with an interval of .1. The second four are the right handed integrals
77       * in the same order.
78       */
79      double[] calculatedIntegral = new double[8];
80  
81      calculatedIntegral[0] = leftTrapInput(generateTestData_v1());
82      calculatedIntegral[1] =
83          leftSimpsons(generateTestData_v1()) + halfBinComposite(generateTestData_v1(), 1, "left");
84      calculatedIntegral[2] =
85          leftBoole(generateTestData_v1()) + halfBinComposite(generateTestData_v1(), 2, "left");
86      calculatedIntegral[3] = leftRectangularMethod(generateTestData_v1());
87  
88      calculatedIntegral[4] = rightTrapInput(generateTestData_v1());
89      calculatedIntegral[5] =
90          rightSimpsons(generateTestData_v1()) + halfBinComposite(generateTestData_v1(), 1, "right");
91      calculatedIntegral[6] =
92          rightBoole(generateTestData_v1()) + halfBinComposite(generateTestData_v1(), 2, "right");
93      calculatedIntegral[7] = rightRectangularMethod(generateTestData_v1());
94  
95      // Set the delta value for the assertEquals comparison.
96      double DELTA = 1e-8;
97  
98      // Assert that the known integrals and calculated integrals are the same.
99      for (int i = 0; i < 8; i++) {
100       assertEquals(knownIntegral[i], calculatedIntegral[i], DELTA);
101     }
102   }
103 
104   /** Initializes the array before testing. */
105   @Before
106   public void setUp() {
107     // Instantiate the knownIntegral array.
108     knownIntegral = new double[8];
109 
110     /*The answers are in the order of the trapezoidal integral first, the
111     Simpson's second, Boole's third, and rectangular method last. The
112     integrals are calculated with the bounds 1 and 201 with an interval of
113     .1. The first four are using left hand integrals and the second four
114     use right hand integrals.
115     */
116     knownIntegral[0] = 2.9684353512887753;
117     knownIntegral[1] = 2.9687126459508564;
118     knownIntegral[2] = 2.968712622691869;
119     knownIntegral[3] = 2.936215172510247;
120 
121     knownIntegral[4] = 3.0006927996084642;
122     knownIntegral[5] = 3.000977174918476;
123     knownIntegral[6] = 3.000977149598709;
124     knownIntegral[7] = 2.968898509509485;
125   }
126 }