// @HEADER
// ************************************************************************
//
//               Rapid Optimization Library (ROL) Package
//                 Copyright (2014) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
//
// 3. Neither the name of the Corporation nor the names of the
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
// PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
// LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
// SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
// Questions? Contact lead developers:
//              Drew Kouri   (dpkouri@sandia.gov) and
//              Denis Ridzal (dridzal@sandia.gov)
//
// ************************************************************************
// @HEADER

#ifndef HS_PROBLEM_016_HPP
#define HS_PROBLEM_016_HPP

#include "ROL_NonlinearProgram.hpp"

namespace HS {

namespace HS_016 {
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 InCon {
public:
  template<class ScalarT> 
  void value( std::vector<ScalarT> &c,
              const std::vector<ScalarT> &x,
              Real &tol ) {
    c[0] = x[0] + x[1]*x[1];
    c[1] = x[0]*x[0] + x[1];
  }
};
}


template<class Real> 
class Problem_016 : public ROL::NonlinearProgram<Real> {

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

public:

  Problem_016() : NP( dimension_x() ) {
    NP::setLower(0,-2);
    NP::setUpper(0,0.5);
    NP::setUpper(1,1.0);
  }  

  int dimension_x()  { return 2; }
  int dimension_ci() { return 2; }

  const ROL::Ptr<OBJ> getObjective() { 
    return ROL::makePtr<ROL::Sacado_StdObjective<Real,HS_016::Obj>>();
  }

  const ROL::Ptr<CON> getInequalityConstraint() {
    return ROL::makePtr<ROL::Sacado_StdConstraint<Real,HS_016::InCon>>();
  }

  const ROL::Ptr<const V> getInitialGuess() {
    Real x[] = {-2,1};
    return NP::createOptVector(x);
  };
   
  bool initialGuessIsFeasible() { return false; }
  
  Real getInitialObjectiveValue() { 
    return Real(909);
  }
 
  Real getSolutionObjectiveValue() {
    return 0.25;
  }

  ROL::Ptr<const V> getSolutionSet() {
    Real x[] = {0.5,0.25};
    return ROL::CreatePartitionedVector(NP::createOptVector(x));
  }
 
};

} // namespace HS

#endif // HS_PROBLEM_016_HPP