ROL
ROL_HS55.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 
16 #ifndef ROL_HS55_HPP
17 #define ROL_HS55_HPP
18 
19 #include "ROL_StdVector.hpp"
20 #include "ROL_TestProblem.hpp"
21 #include "ROL_Types.hpp"
22 #include "ROL_StdObjective.hpp"
23 #include "ROL_StdConstraint.hpp"
24 #include "ROL_Bounds.hpp"
25 
26 namespace ROL {
27 namespace ZOO {
28 
35 template<class Real>
36 class Objective_HS55 : public StdObjective<Real> {
37 public:
38  Real value( const std::vector<Real> &x, Real &tol ) {
39  const Real c2(2), c4(4);
40  return x[0] + c2*x[1] + c4*x[4] + std::exp(x[0]*x[3]);
41  }
42 
43  void gradient( std::vector<Real> &g, const std::vector<Real> &x, Real &tol ) {
44  const Real c0(0), c1(1), c2(2), c4(4);
45  Real exp03 = std::exp(x[0]*x[3]);
46  g[0] = c1 + x[3]*exp03;
47  g[1] = c2;
48  g[2] = c0;
49  g[3] = x[0]*exp03;
50  g[4] = c4;
51  g[5] = c0;
52  }
53 
54  void hessVec( std::vector<Real> &hv, const std::vector<Real> &v, const std::vector<Real> &x, Real &tol ) {
55  const Real c0(0), c1(1);
56  Real exp03 = std::exp(x[0]*x[3]);
57  hv[0] = x[3]*x[3]*exp03*v[0] + (c1 + x[3]*x[0])*exp03*v[3];
58  hv[1] = c0;
59  hv[2] = c0;
60  hv[3] = (c1 + x[0]*x[3])*exp03*v[0] + x[0]*x[0]*exp03*v[3];
61  hv[4] = c0;
62  hv[5] = c0;
63  }
64 };
65 
66 template<class Real>
67 class Constraint_HS55 : public StdConstraint<Real> {
68 public:
69  void value( std::vector<Real> &c, const std::vector<Real> &x, Real &tol ) {
70  const Real c1(1), c2(2), c3(3), c5(5), c6(6);
71  c[0] = x[0] + c2*x[1] + c5*x[4] - c6;
72  c[1] = x[0] + x[1] + x[2] - c3;
73  c[2] = x[3] + x[4] + x[5] - c2;
74  c[3] = x[0] + x[3] - c1;
75  c[4] = x[1] + x[4] - c2;
76  c[5] = x[2] + x[5] - c2;
77  }
78 
79  void applyJacobian(std::vector<Real> &jv, const std::vector<Real> &v,
80  const std::vector<Real> &x, Real &tol) {
81  const Real c2(2), c5(5);
82  jv[0] = v[0] + c2*v[1] + c5*v[4];
83  jv[1] = v[0] + v[1] + v[2];
84  jv[2] = v[3] + v[4] + v[5];
85  jv[3] = v[0] + v[3];
86  jv[4] = v[1] + v[4];
87  jv[5] = v[2] + v[5];
88  }
89 
90  void applyAdjointJacobian( std::vector<Real> &ajv, const std::vector<Real> &v,
91  const std::vector<Real> &x, Real &tol ) {
92  const Real c2(2), c5(5);
93  ajv[0] = v[0] + v[1] + v[3];
94  ajv[1] = c2*v[0] + v[1] + v[4];
95  ajv[2] = v[1] + v[5];
96  ajv[3] = v[2] + v[3];
97  ajv[4] = c5*v[0] + v[2] + v[4];
98  ajv[5] = v[2] + v[5];
99  }
100 
101  void applyAdjointHessian(std::vector<Real> &ahuv, const std::vector<Real> &u,
102  const std::vector<Real> &v, const std::vector<Real> &x,
103  Real &tol) {
104  ahuv.assign(ahuv.size(),static_cast<Real>(0));
105  }
106 };
107 
108 template<class Real>
109 class getHS55 : public TestProblem<Real> {
110 public:
111  getHS55(void) {}
112 
113  Ptr<Objective<Real>> getObjective(void) const {
114  return ROL::makePtr<Objective_HS55<Real>>();
115  }
116 
117  Ptr<Vector<Real>> getInitialGuess(void) const {
118  int n = 6;
119  ROL::Ptr<std::vector<Real>> xp = ROL::makePtr<std::vector<Real>>(n);
120  (*xp)[0] = static_cast<Real>(1.0);
121  (*xp)[1] = static_cast<Real>(2.0);
122  (*xp)[2] = static_cast<Real>(0.0);
123  (*xp)[3] = static_cast<Real>(0.0);
124  (*xp)[4] = static_cast<Real>(0.0);
125  (*xp)[5] = static_cast<Real>(2.0);
126  return ROL::makePtr<StdVector<Real>>(xp);
127  }
128 
129  Ptr<Vector<Real>> getSolution(const int i = 0) const {
130  int n = 6;
131  ROL::Ptr<std::vector<Real>> xp = ROL::makePtr<std::vector<Real>>(n);
132  (*xp)[0] = static_cast<Real>(0.0);
133  (*xp)[1] = static_cast<Real>(4.0/3.0);
134  (*xp)[2] = static_cast<Real>(5.0/3.0);
135  (*xp)[3] = static_cast<Real>(1.0);
136  (*xp)[4] = static_cast<Real>(2.0/3.0);
137  (*xp)[5] = static_cast<Real>(1.0/3.0);
138  return ROL::makePtr<StdVector<Real>>(xp);
139  }
140 
141  Ptr<Constraint<Real>> getEqualityConstraint(void) const {
142  return ROL::makePtr<Constraint_HS55<Real>>();
143  }
144 
145  Ptr<Vector<Real>> getEqualityMultiplier(void) const {
146  int n = 6;
147  return ROL::makePtr<StdVector<Real>>(n,0.0);
148  }
149 
150  Ptr<BoundConstraint<Real>> getBoundConstraint(void) const {
151  int n = 6;
152  Ptr<Vector<Real>> l = makePtr<StdVector<Real>>(n,0.0);
153  ROL::Ptr<std::vector<Real>> up = ROL::makePtr<std::vector<Real>>(n,ROL_INF<Real>());
154  (*up)[0] = static_cast<Real>(1);
155  (*up)[3] = static_cast<Real>(1);
156  Ptr<Vector<Real>> u = makePtr<StdVector<Real>>(up);
157  return makePtr<Bounds<Real>>(l,u);
158  }
159 };
160 
161 } // End ZOO Namespace
162 } // End ROL Namespace
163 
164 #endif
Contains definitions of custom data types in ROL.
Real value(const std::vector< Real > &x, Real &tol)
Definition: ROL_HS55.hpp:38
void applyAdjointJacobian(std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol)
Definition: ROL_HS55.hpp:90
Ptr< BoundConstraint< Real > > getBoundConstraint(void) const
Definition: ROL_HS55.hpp:150
Defines the equality constraint operator interface for StdVectors.
void applyJacobian(std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol)
Definition: ROL_HS55.hpp:79
Specializes the ROL::Objective interface for objective functions that operate on ROL::StdVector&#39;s.
Ptr< Vector< Real > > getEqualityMultiplier(void) const
Definition: ROL_HS55.hpp:145
Ptr< Vector< Real > > getInitialGuess(void) const
Definition: ROL_HS55.hpp:117
Contains definitions of test objective functions.
W. Hock and K. Schittkowski 55th test function.
Definition: ROL_HS55.hpp:36
void gradient(std::vector< Real > &g, const std::vector< Real > &x, Real &tol)
Definition: ROL_HS55.hpp:43
void applyAdjointHessian(std::vector< Real > &ahuv, const std::vector< Real > &u, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol)
Definition: ROL_HS55.hpp:101
void hessVec(std::vector< Real > &hv, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol)
Definition: ROL_HS55.hpp:54
void value(std::vector< Real > &c, const std::vector< Real > &x, Real &tol)
Definition: ROL_HS55.hpp:69
Ptr< Vector< Real > > getSolution(const int i=0) const
Definition: ROL_HS55.hpp:129
Ptr< Objective< Real > > getObjective(void) const
Definition: ROL_HS55.hpp:113
Ptr< Constraint< Real > > getEqualityConstraint(void) const
Definition: ROL_HS55.hpp:141