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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  
23  package org.hipparchus.ode;
24  
25  import org.hipparchus.util.FastMath;
26  
27  /**
28   * This class is used in the junit tests for the ODE integrators.
29   * <p>This is the same as problem 1 except integration is done
30   * backward in time</p>
31   */
32  public class TestProblem5 extends TestProblemAbstract {
33  
34      /**
35       * Simple constructor.
36       */
37      public TestProblem5() {
38          super(0.0, new double[] { 1.0, 0.1 }, -4.0, new double[] { 1.0, 1.0 });
39      }
40  
41      @Override
42      public double[] doComputeDerivatives(double t, double[] y) {
43  
44          // compute the derivatives
45          final double[] yDot = new double[getDimension()];
46          for (int i = 0; i < getDimension(); ++i) {
47              yDot[i] = -y[i];
48          }
49          return yDot;
50  
51      }
52  
53      @Override
54      public double[] computeTheoreticalState(double t) {
55          final double c = FastMath.exp (getInitialTime() - t);
56          final double[] y = getInitialState().getPrimaryState();
57          for (int i = 0; i < getDimension(); ++i) {
58              y[i] *= c;
59          }
60          return y;
61      }
62  
63  }