Linear.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_SCALAR_FUNCTION_LINEAR_HH
#define OPTIMIST_SCALAR_FUNCTION_LINEAR_HH
 
#include "Optimist/TestSet.hh"
#include "Optimist/Function/ScalarFunction.hh"
 
namespace Optimist
{
 
  namespace TestSet
  {

    template <typename Real>
    class Linear : public ScalarFunction<Real, Linear<Real>>
    {
      Real m_m{1.0}; 
      Real m_q{1.0}; 
 
    public:
      OPTIMIST_BASIC_CONSTANTS(Real) 
 
      
      Linear()
      {
        this->m_solutions.emplace_back(-this->m_q/this->m_m);
        this->m_guesses.emplace_back(0.0);
      }

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

      void evaluate_impl(Real x, Real & out) const {out = this->m_m*x + this->m_q;}

      void first_derivative_impl(Real /*x*/, Real & out) const {out = this->m_m;}

      void second_derivative_impl(Real /*x*/, Real & out) const {out = 0.0;}
 
    }; // class Linear
 
  } // namespace TestSet
 
} // namespace Optimist
 
#endif // OPTIMIST_SCALAR_FUNCTION_LINEAR_HH