ROL
ROL_HS38.hpp
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1 // @HEADER
2 // *****************************************************************************
3 // Rapid Optimization Library (ROL) Package
4 //
5 // Copyright 2014 NTESS and the ROL contributors.
6 // SPDX-License-Identifier: BSD-3-Clause
7 // *****************************************************************************
8 // @HEADER
9 
15 #ifndef USE_HESSVEC
16 #define USE_HESSVEC 1
17 #endif
18 
19 #ifndef ROL_HS38_HPP
20 #define ROL_HS38_HPP
21 
22 #include "ROL_StdVector.hpp"
23 #include "ROL_TestProblem.hpp"
24 #include "ROL_Bounds.hpp"
25 #include "ROL_Types.hpp"
26 
27 namespace ROL {
28 namespace ZOO {
29 
32  template<class Real>
33  class Objective_HS38 : public Objective<Real> {
34 
35  typedef std::vector<Real> vector;
36  typedef Vector<Real> V;
37  typedef StdVector<Real> SV;
38 
39  private:
40 
41  ROL::Ptr<const vector> getVector( const V& x ) {
42 
43  return dynamic_cast<const SV&>(x).getVector();
44  }
45 
46  ROL::Ptr<vector> getVector( V& x ) {
47 
48  return dynamic_cast<SV&>(x).getVector();
49  }
50 
51  public:
52  Objective_HS38(void) {}
53 
54  Real value( const Vector<Real> &x, Real &tol ) {
55 
56 
57  ROL::Ptr<const vector> ex = getVector(x);
58  return 100.0 * std::pow((*ex)[1] - std::pow((*ex)[0],2.0),2.0) + std::pow(1.0-(*ex)[0],2.0) +
59  90.0 * std::pow((*ex)[3] - std::pow((*ex)[2],2.0),2.0) + std::pow(1.0-(*ex)[2],2.0) +
60  10.1 * (std::pow((*ex)[1] - 1.0,2.0) + std::pow((*ex)[3]-1.0,2.0)) +
61  19.8 * ((*ex)[1] - 1.0) * ((*ex)[3] - 1.0);
62  }
63 
64  void gradient( Vector<Real> &g, const Vector<Real> &x, Real &tol ) {
65 
66 
67  ROL::Ptr<const vector> ex = getVector(x);
68  ROL::Ptr<vector> eg = getVector(g);
69 
70  (*eg)[0] = -4.0 * 100.0 * ((*ex)[1] - std::pow((*ex)[0],2.0)) * (*ex)[0] - 2.0 * (1.0-(*ex)[0]);
71  (*eg)[1] = 2.0 * 100.0 * ((*ex)[1] - std::pow((*ex)[0],2.0)) +
72  2.0 * 10.1 * ((*ex)[1] - 1.0) + 19.8*((*ex)[3] - 1.0);
73  (*eg)[2] = -4.0 * 90.0 * ((*ex)[3] - std::pow((*ex)[2],2.0)) * (*ex)[2] - 2.0 * (1.0-(*ex)[2]);
74  (*eg)[3] = 2.0 * 90.0 * ((*ex)[3] - std::pow((*ex)[2],2.0)) +
75  2.0 * 10.1 * ((*ex)[3] - 1.0) + 19.8*((*ex)[1] - 1.0);
76  }
77 #if USE_HESSVEC
78  void hessVec( Vector<Real> &hv, const Vector<Real> &v, const Vector<Real> &x, Real &tol ) {
79 
80 
81  ROL::Ptr<const vector> ex = getVector(x);
82  ROL::Ptr<const vector> ev = getVector(v);
83  ROL::Ptr<vector> ehv = getVector(hv);
84 
85  Real h11 = -4.0 * 100.0 * (*ex)[1] + 12.0 * 100.0 * std::pow((*ex)[0],2.0) + 2.0;
86  Real h12 = -4.0 * 100.0 * (*ex)[0];
87  Real h13 = 0.0;
88  Real h14 = 0.0;
89  Real h21 = -4.0 * 100.0 * (*ex)[0];
90  Real h22 = 2.0 * 100.0 + 2.0 * 10.1;
91  Real h23 = 0.0;
92  Real h24 = 19.8;
93  Real h31 = 0.0;
94  Real h32 = 0.0;
95  Real h33 = -4.0 * 90.0 * (*ex)[3] + 12.0 * 90.0 * std::pow((*ex)[2],2.0) + 2.0;
96  Real h34 = -4.0 * 90.0 * (*ex)[2];
97  Real h41 = 0.0;
98  Real h42 = 19.8;
99  Real h43 = -4.0 * 90.0 * (*ex)[2];
100  Real h44 = 2.0 * 90.0 + 2.0 * 10.1;
101 
102  (*ehv)[0] = h11 * (*ev)[0] + h12 * (*ev)[1] + h13 * (*ev)[2] + h14 * (*ev)[3];
103  (*ehv)[1] = h21 * (*ev)[0] + h22 * (*ev)[1] + h23 * (*ev)[2] + h24 * (*ev)[3];
104  (*ehv)[2] = h31 * (*ev)[0] + h32 * (*ev)[1] + h33 * (*ev)[2] + h34 * (*ev)[3];
105  (*ehv)[3] = h41 * (*ev)[0] + h42 * (*ev)[1] + h43 * (*ev)[2] + h44 * (*ev)[3];
106  }
107 #endif
108  };
109 
110 template<class Real>
111 class getHS38 : public TestProblem<Real> {
112 public:
113  getHS38(void) {}
114 
115  Ptr<Objective<Real>> getObjective(void) const {
116  // Instantiate Objective Function
117  return ROL::makePtr<Objective_HS38<Real>>();
118  }
119 
120  Ptr<Vector<Real>> getInitialGuess(void) const {
121  // Problem dimension
122  int n = 4;
123  // Get Initial Guess
124  ROL::Ptr<std::vector<Real> > x0p = ROL::makePtr<std::vector<Real>>(n,0.0);
125  (*x0p)[0] = -3.0; (*x0p)[1] = -1.0;
126  (*x0p)[2] = -3.0; (*x0p)[3] = -1.0;
127  return ROL::makePtr<StdVector<Real>>(x0p);
128  }
129 
130  Ptr<Vector<Real>> getSolution(const int i = 0) const {
131  // Problem dimension
132  int n = 4;
133  // Get Solution
134  ROL::Ptr<std::vector<Real> > xp = ROL::makePtr<std::vector<Real>>(n,0.0);
135  (*xp)[0] = 1.0; (*xp)[1] = 1.0;
136  (*xp)[2] = 1.0; (*xp)[3] = 1.0;
137  return ROL::makePtr<StdVector<Real>>(xp);
138  }
139 
140  Ptr<BoundConstraint<Real>> getBoundConstraint(void) const {
141  // Problem dimension
142  int n = 4;
143  // Instantiate BoundConstraint
144  ROL::Ptr<std::vector<Real> > lp = ROL::makePtr<std::vector<Real>>(n,-10.0);
145  ROL::Ptr<Vector<Real> > l = ROL::makePtr<StdVector<Real>>(lp);
146  ROL::Ptr<std::vector<Real> > up = ROL::makePtr<std::vector<Real>>(n, 10.0);
147  ROL::Ptr<Vector<Real> > u = ROL::makePtr<StdVector<Real>>(up);
148  return ROL::makePtr<Bounds<Real>>(l,u);
149  }
150 };
151 
152 
153 } // End ZOO Namespace
154 } // End ROL Namespace
155 
156 #endif
Provides the interface to evaluate objective functions.
void gradient(Vector< Real > &g, const Vector< Real > &x, Real &tol)
Compute gradient.
Definition: ROL_HS38.hpp:64
StdVector< Real > SV
Definition: ROL_HS38.hpp:37
virtual void hessVec(Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
Apply Hessian approximation to vector.
Contains definitions of custom data types in ROL.
std::vector< Real > vector
Definition: ROL_HS38.hpp:35
Defines the linear algebra or vector space interface.
Definition: ROL_Vector.hpp:46
Real value(const Vector< Real > &x, Real &tol)
Compute value.
Definition: ROL_HS38.hpp:54
W. Hock and K. Schittkowski 38th test function.
Definition: ROL_HS38.hpp:33
Ptr< BoundConstraint< Real > > getBoundConstraint(void) const
Definition: ROL_HS38.hpp:140
Ptr< Vector< Real > > getSolution(const int i=0) const
Definition: ROL_HS38.hpp:130
Ptr< Vector< Real > > getInitialGuess(void) const
Definition: ROL_HS38.hpp:120
Contains definitions of test objective functions.
ROL::Ptr< const vector > getVector(const V &x)
Definition: ROL_HS38.hpp:41
ROL::Ptr< vector > getVector(V &x)
Definition: ROL_HS38.hpp:46
Vector< Real > V
Definition: ROL_HS38.hpp:36
Ptr< Objective< Real > > getObjective(void) const
Definition: ROL_HS38.hpp:115