Booth.hh

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/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *\
 * Copyright (c) 2025, Davide Stocco, Mattia Piazza and Enrico Bertolazzi.                       *
 *                                                                                               *
 * The Optimist project is distributed under the BSD 2-Clause License.                           *
 *                                                                                               *
 * Davide Stocco                          Mattia Piazza                        Enrico Bertolazzi *
 * University of Trento               University of Trento                  University of Trento *
 * davide.stocco@unitn.it            mattia.piazza@unitn.it           enrico.bertolazzi@unitn.it *
\* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
 
#pragma once
 
#ifndef OPTIMIST_VECTOR_FUNCTION_BOOTH_HH
#define OPTIMIST_VECTOR_FUNCTION_BOOTH_HH
 
#include "Optimist/TestSet.hh"
#include "Optimist/Function/VectorFunction.hh"
 
namespace Optimist
{
 
  namespace TestSet
  {

    template <typename Real>
    class Booth : public VectorFunction<Real, 2, 2, Booth<Real>>
    {
    public:
      OPTIMIST_BASIC_CONSTANTS(Real) 
 
      using Vector = typename VectorFunction<Real, 2, 2, Booth<Real>>::InputVector;
      using Matrix = typename VectorFunction<Real, 2, 2, Booth<Real>>::Matrix;
      using Tensor = typename VectorFunction<Real, 2, 2, Booth<Real>>::Tensor;

      Booth()
      {
        this->m_solutions.emplace_back(1.0, 3.0);
        for (Real x{-10.0}; x < 10.0 + EPSILON; x += 5.0) {
          for (Real y{-10.0}; y < 10.0 + EPSILON; y += 5.0) {
            this->m_guesses.emplace_back(x, y);
          }
        }
      }

      std::string name_impl() const {return "Booth";}

      void evaluate_impl(const Vector & x, Vector & out) const
      {
        out << x(0) + 2.0*x(1) - 7.0, 2.0*x(0) + x(1) - 5.0;
      }

      void first_derivative_impl(const Vector & /*x*/, Matrix & out) const
      {
        out << 1.0, 2.0, 2.0, 1.0;
      }

      void second_derivative_impl(const Vector & /*x*/, Tensor & out) const
      {
        out.resize(this->output_dimension());
        std::for_each(out.begin(), out.end(), [] (Matrix& m) {m.setZero();});
      }
 
    }; // class Booth
 
  } // namespace TestSet
 
} // namespace Optimist
 
#endif // OPTIMIST_VECTOR_FUNCTION_BOOTH_HH