120 lines
3.7 KiB
C
120 lines
3.7 KiB
C
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// Copyright (c) 2005 INRIA Sophia-Antipolis (France).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0+
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//
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//
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// Author(s) : Abdelkrim Mebarki <Abdelkrim.Mebarki@sophia.inria.fr>
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#ifndef CGAL_EULER_INTEGRATOR_2_H_
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#define CGAL_EULER_INTEGRATOR_2_H_
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#include <CGAL/license/Stream_lines_2.h>
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#include <CGAL/basic.h>
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namespace CGAL {
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// The class Euler_integrator_2 is a model of the concept Integrator
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template <class VectorField_2>
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class Euler_integrator_2
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{
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public:
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typedef Euler_integrator_2<VectorField_2> self;
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typedef typename VectorField_2::FT FT;
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typedef typename VectorField_2::Point_2 Point_2;
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typedef typename VectorField_2::Vector_2 Vector_2;
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typedef typename VectorField_2::Vector_field_2 Vector_field_2;
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protected:
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FT default_integration_step;
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public:
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Euler_integrator_2();
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Euler_integrator_2(const FT & integration_step);
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inline Point_2 operator()(const Point_2 & p, const Vector_field_2 &
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vector_field_2, const bool & index) const;
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inline Point_2 operator()(const Point_2 & p, const Vector_field_2 &
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vector_field_2, const FT &
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integration_step, const bool & index)
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const;
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inline Point_2 operator()(const Point_2 & p, const Vector_field_2 &
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vector_field_2, const FT &
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integration_step, Vector_2 v, const bool &
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index) const;
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inline FT get_default_integration_step()
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{
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return default_integration_step;
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}
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// just for debugging
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inline FT distance(const Point_2 & p, const Point_2 & q)
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{
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return sqrt(((p.x() - q.x())*(p.x() - q.x()))+((p.y() - q.y())*(p.y() - q.y())));
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}
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};
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template <class Vector_field>
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Euler_integrator_2<Vector_field>::Euler_integrator_2()
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: default_integration_step(1.0)
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{}
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// An additional parameter in the constructor to specify the default integration step
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template <class Vector_field>
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Euler_integrator_2<Vector_field>::Euler_integrator_2(const FT & integration_step)
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: default_integration_step(integration_step)
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{}
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template <class Vector_field>
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inline typename Euler_integrator_2<Vector_field>::Point_2
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Euler_integrator_2<Vector_field>::operator()
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(const Point_2 & p, const Vector_field_2 & , const FT & integration_step, Vector_2 v, const bool & index) const
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{
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if (!index)
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{
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Vector_2 v_t(v.x()*(-1),v.y()*(-1));
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v = v_t;
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}
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Vector_2 Euler_step(v.x()*integration_step,
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v.y()*integration_step);
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return Point_2(p.x() + Euler_step.x(), p.y() + Euler_step.y());
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}
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template <class Vector_field>
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inline typename Euler_integrator_2<Vector_field>::Point_2
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Euler_integrator_2<Vector_field>::operator()
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(const Point_2 & p, const Vector_field_2 & vector_field_2, const FT & integration_step, const bool & index) const
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{
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Vector_2 v;
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v = vector_field_2.get_field(p).first;
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return this->operator()(p, vector_field_2, integration_step, v, index);
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}
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template <class Vector_field>
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inline typename Euler_integrator_2<Vector_field>::Point_2
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Euler_integrator_2<Vector_field>::operator()
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(const Point_2 & p, const Vector_field_2 & vector_field_2, const bool & index) const
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{
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return this->operator()(p, vector_field_2, default_integration_step,index);
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}
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} //namespace CGAL
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#endif
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