gaussian_potential.hpp

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/*
 * This file is part of BubbleProfiler.
 *
 * BubbleProfiler is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * BubbleProfiler is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with BubbleProfiler.  If not, see <http://www.gnu.org/licenses/>.
 */

#ifndef BUBBLEPROFILER_GAUSSIAN_POTENTIAL_HPP_INCLUDED
#define BUBBLEPROFILER_GAUSSIAN_POTENTIAL_HPP_INCLUDED

#include "potential.hpp"
#include "error.hpp"

#include <cmath>
#include <ginac/ginac.h>

namespace BubbleProfiler {

class Gaussian_potential : public Potential {
public:

   Gaussian_potential(double gamma_, double lambda_, std::size_t n_fields_);
   virtual ~Gaussian_potential() = default;

   Gaussian_potential * clone() const {
      return new Gaussian_potential(*this);
   };

   virtual double operator()(const Eigen::VectorXd& coords) const override;
   virtual double partial(const Eigen::VectorXd& coords, int i) const override;
   virtual double partial(const Eigen::VectorXd& coords, int i, int j) const override;
   virtual std::size_t get_number_of_fields() const override;

   virtual void translate_origin(const Eigen::VectorXd&) override;
   virtual void apply_basis_change(const Eigen::MatrixXd&) override;
   virtual void add_constant_term(double) override;


private:
   double gamma{2.};
   double lambda{1.};
   std::size_t n_fields{0};
   double constant_term{0.};
   Eigen::VectorXd origin{};
   Eigen::VectorXd origin_translation{};
   Eigen::VectorXd mu{};
   Eigen::MatrixXd basis_transform{};

   double gaussian(const Eigen::VectorXd&, const Eigen::VectorXd&) const;
   double gaussian_deriv(const Eigen::VectorXd&, const Eigen::VectorXd&,
                         int i) const;
   double gaussian_deriv2(const Eigen::VectorXd&, const Eigen::VectorXd&,
                          int i, int j) const;
};

}

#endif