ROL
ROL_SumOfSquares.hpp
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43 
49 #ifndef USE_HESSVEC
50 #define USE_HESSVEC 1
51 #endif
52 
53 #ifndef ROL_SUMOFSQUARES_HPP
54 #define ROL_SUMOFSQUARES_HPP
55 
56 #include "ROL_StdVector.hpp"
57 #include "ROL_TestProblem.hpp"
58 
59 namespace ROL {
60 namespace ZOO {
61 
64 template<class Real>
65 class Objective_SumOfSquares : public Objective<Real> {
66 public:
67  Real value( const Vector<Real> &x, Real &tol ) {
68  return x.dot(x);
69  }
70 
71  void gradient( Vector<Real> &g, const Vector<Real> &x, Real &tol ) {
72  g.set(x);
73  g.scale(2.0);
74  }
75 
76 #if USE_HESSVEC
77  void hessVec( Vector<Real> &hv, const Vector<Real> &v, const Vector<Real> &x, Real &tol ) {
78  hv.set(v);
79  hv.scale(2.0);
80  }
81 #endif
82 
83  void invHessVec( Vector<Real> &hv, const Vector<Real> &v, const Vector<Real> &x, Real &tol ) {
84  hv.set(v);
85  hv.scale(0.5);
86  }
87 };
88 
89 template<class Real>
90 class getSumOfSquares : public TestProblem<Real> {
91 public:
92  getSumOfSquares(void) {}
93 
94  Ptr<Objective<Real>> getObjective(void) const {
95  // Instantiate Objective Function
96  return ROL::makePtr<Objective_SumOfSquares<Real>>();
97  }
98 
99  Ptr<Vector<Real>> getInitialGuess(void) const {
100  // Problem dimension
101  int n = 100;
102  // Get Initial Guess
103  ROL::Ptr<std::vector<Real> > x0p = ROL::makePtr<std::vector<Real>>(n,1.0);
104  return ROL::makePtr<StdVector<Real>>(x0p);
105  }
106 
107  Ptr<Vector<Real>> getSolution(const int i = 0) const {
108  // Problem dimension
109  int n = 100;
110  // Get Solution
111  ROL::Ptr<std::vector<Real> > xp = ROL::makePtr<std::vector<Real>>(n,0.0);
112  return ROL::makePtr<StdVector<Real>>(xp);
113  }
114 };
115 
116 } // End ZOO Namespace
117 } // End ROL Namespace
118 
119 #endif
Ptr< Vector< Real > > getInitialGuess(void) const
Provides the interface to evaluate objective functions.
virtual void scale(const Real alpha)=0
Compute where .
void gradient(Vector< Real > &g, const Vector< Real > &x, Real &tol)
Compute gradient.
virtual void hessVec(Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
Apply Hessian approximation to vector.
Ptr< Objective< Real > > getObjective(void) const
Defines the linear algebra or vector space interface.
Definition: ROL_Vector.hpp:80
virtual Real dot(const Vector &x) const =0
Compute where .
Sum of squares function.
Contains definitions of test objective functions.
Real value(const Vector< Real > &x, Real &tol)
Compute value.
Ptr< Vector< Real > > getSolution(const int i=0) const
virtual void set(const Vector &x)
Set where .
Definition: ROL_Vector.hpp:209
void invHessVec(Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
Apply inverse Hessian approximation to vector.