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#ifndef HS_PROBLEM_001_HPP
#define HS_PROBLEM_001_HPP

#include "ROL_NonlinearProgram.hpp"


namespace HS {

namespace HS_001 {
template<class Real>
class Obj {
public:
  template<class ScalarT> 
  ScalarT value( const std::vector<ScalarT> &x, Real &tol ) {
    ScalarT a = x[1]-x[0]*x[0];
    ScalarT b = 1-x[0];
    return 100*a*a+b*b;
  }
};
}

template<class Real> 
class Problem_001 : public ROL::NonlinearProgram<Real> {
 
  template<typename T> using RCP = Teuchos::RCP<T>;

  typedef ROL::NonlinearProgram<Real>    NP;
  typedef ROL::Vector<Real>              V;
  typedef ROL::Objective<Real>           OBJ;

private:
public:

  Problem_001() : NP( dimension_x() ) {
    NP::setLower(1,-1.5);
  }

  int dimension_x() { return 2; }

  const RCP<OBJ> getObjective() { 
    return Teuchos::rcp( new ROL::Sacado_StdObjective<Real,HS_001::Obj> );
  }

  const RCP<const V> getInitialGuess() {
    Real x[] = {-2.0,1.0};
    return NP::createOptVector(x);
  };
   
  bool initialGuessIsFeasible() { return true; }
  
  Real getInitialObjectiveValue() { 
    return Real(909);
  }
 
  Real getSolutionObjectiveValue() {
    return Real(0);
  }

  RCP<const V> getSolutionSet() {
    const Real x[] = {1.0,1.0};
    return ROL::CreatePartitionedVector(NP::createOptVector(x));
  }
 
};

}

#endif // HS_PROBLEM_001_HPP
