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1   /*
2    * Licensed to the Hipparchus project 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 Hipparchus project 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  package org.hipparchus.optim.nonlinear.vector.constrained;
18  
19  import org.hipparchus.linear.Array2DRowRealMatrix;
20  import org.hipparchus.linear.ArrayRealVector;
21  import org.hipparchus.linear.MatrixUtils;
22  import org.hipparchus.linear.RealMatrix;
23  import org.hipparchus.linear.RealVector;
24  import org.hipparchus.util.FastMath;
25  
26  public class HockSchittkowskiConstraintEquality77 extends EqualityConstraint {
27  
28      public HockSchittkowskiConstraintEquality77() {
29          super(MatrixUtils.createRealVector(new double[] {
30              2.0 * FastMath.sqrt(2.0),
31              8.0 + FastMath.sqrt(2.0)
32          }));
33      }
34  
35      @Override
36      public RealVector value(RealVector x) {
37          double x1 = x.getEntry(0);
38          double x2 = x.getEntry(1);
39          double x3 = x.getEntry(2);
40          double x4 = x.getEntry(3);
41          double x5 = x.getEntry(4);
42          //  x[1]^2*x[4] + sin(x[4]-x[5]) = 2*sqrt(2)
43          //x[2] + x[3]^4*x[4]^2 = 8 + sqrt(2)
44          RealVector a=new ArrayRealVector(2);
45          a.setEntry(0,x1*x1*x4+FastMath.sin(x4-x5));
46          a.setEntry(1,x2+x3*x3*x3*x3*x4*x4);
47  
48  
49          return a;
50      }
51  
52      @Override
53      public RealMatrix jacobian(RealVector x) {
54          double x1 = x.getEntry(0);
55          double x3 = x.getEntry(2);
56          double x4 = x.getEntry(3);
57          double x5 = x.getEntry(4);
58          RealMatrix a= new Array2DRowRealMatrix(2,5);
59  
60          a.setEntry(0,0,2.0*x1*x4);
61          a.setEntry(0,1,0.0);
62          a.setEntry(0,2,0.0);
63          a.setEntry(0,3,x1*x1+FastMath.cos(x4-x5));
64          a.setEntry(0,4,-1.0*FastMath.cos(x4-x5));
65          a.setEntry(1,0,0.0);
66          a.setEntry(1,1,1.0);
67          a.setEntry(1,2,4.0*x3*x3*x3*x4*x4);
68          a.setEntry(1,3,2.0*x3*x3*x3*x3*x4);
69          a.setEntry(1,4,0.0);
70  
71          return a;
72      }
73  
74      @Override
75      public int dim() {
76          return 5;
77      }
78  }