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43 
44 #ifndef HS_PROBLEM_011_HPP
45 #define HS_PROBLEM_011_HPP
46 
47 #include "ROL_NonlinearProgram.hpp"
48 
49 namespace HS {
50 
51 namespace HS_011 {
52 template<class Real>
53 class Obj {
54 public:
55   template<class ScalarT>
value(const std::vector<ScalarT> & x,Real & tol)56   ScalarT value( const std::vector<ScalarT> &x, Real &tol ) {
57     ScalarT a = x[0]-5.0;
58     return a*a+x[1]*x[1]-25.0;
59   }
60 };
61 
62 template<class Real>
63 class InCon {
64 public:
65   template<class ScalarT>
value(std::vector<ScalarT> & c,const std::vector<ScalarT> & x,Real & tol)66     void value( std::vector<ScalarT> &c,
67                 const std::vector<ScalarT> &x,
68                 Real &tol ) {
69     c[0] = -x[0]*x[0]+x[1];
70   }
71 };
72 }
73 
74 
75 
76 template<class Real>
77 class Problem_011 : public ROL::NonlinearProgram<Real> {
78 
79 
80 
81   typedef ROL::Vector<Real>               V;
82   typedef ROL::Objective<Real>            OBJ;
83   typedef ROL::Constraint<Real>           CON;
84   typedef ROL::NonlinearProgram<Real>     NP;
85 
86 
87 public:
88 
Problem_011()89   Problem_011() : NP( dimension_x() ) {
90     NP::noBound();
91   }
92 
dimension_x()93   int dimension_x()  { return 2; }
dimension_ci()94   int dimension_ci() { return 1; }
95 
getObjective()96   const ROL::Ptr<OBJ> getObjective() {
97     return ROL::makePtr<ROL::Sacado_StdObjective<Real,HS_011::Obj>>();
98   }
99 
getInequalityConstraint()100   const ROL::Ptr<CON> getInequalityConstraint() {
101     return ROL::makePtr<ROL::Sacado_StdConstraint<Real,HS_011::InCon>>();
102   }
103 
getInitialGuess()104   const ROL::Ptr<const V> getInitialGuess() {
105     Real x[] = {4.9,0.1};
106     return NP::createOptVector(x);
107   };
108 
initialGuessIsFeasible()109   bool initialGuessIsFeasible() { return false; }
110 
getInitialObjectiveValue()111   Real getInitialObjectiveValue() {
112     return Real(-24.98);
113   }
114 
getSolutionObjectiveValue()115   Real getSolutionObjectiveValue() {
116     return Real(-8.498464223);
117   }
118 
getSolutionSet()119   ROL::Ptr<const V> getSolutionSet() {
120     Real a = 7.5*std::sqrt(6) + std::sqrt(338.5);
121     Real x[] = {(a-1/a)/std::sqrt(6),
122                 (a*a-2+1/(a*a))/6.0};
123     return ROL::CreatePartitionedVector(NP::createOptVector(x));
124   }
125 
126 };
127 
128 } // namespace HS
129 
130 #endif // HS_PROBLEM_011_HPP
131