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/******************************************************************************
*       SOFA, Simulation Open-Framework Architecture, version 1.0 beta 4      *
*                (c) 2006-2009 MGH, INRIA, USTL, UJF, CNRS                    *
*                                                                             *
* This library is free software; you can redistribute it and/or modify it     *
* under the terms of the GNU Lesser General Public License as published by    *
* the Free Software Foundation; either version 2.1 of the License, or (at     *
* your option) any later version.                                             *
*                                                                             *
* This library 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 Lesser General Public License *
* for more details.                                                           *
*                                                                             *
* You should have received a copy of the GNU Lesser General Public License    *
* along with this library; if not, write to the Free Software Foundation,     *
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301 USA.          *
*******************************************************************************
*                               SOFA :: Modules                               *
*                                                                             *
* Authors: The SOFA Team and external contributors (see Authors.txt)          *
*                                                                             *
* Contact information: contact@sofa-framework.org                             *
******************************************************************************/
#ifndef SOFA_COMPONENT_ODESOLVER_CENTRALDIFFERENCESOLVER_H
#define SOFA_COMPONENT_ODESOLVER_CENTRALDIFFERENCESOLVER_H

#include <sofa/core/componentmodel/behavior/OdeSolver.h>
#include <sofa/component/odesolver/OdeSolverImpl.h>

namespace sofa
{

namespace component
{

namespace odesolver
{

using namespace sofa::defaulttype;

/** Explicit time integrator using central difference (also known as Verlet of Leap-frop).
 *
 * @see http://www.dynasupport.com/support/tutorial/users.guide/time.integration
 * @see http://en.wikipedia.org/wiki/Leapfrog_method
 *
 */
class SOFA_COMPONENT_ODESOLVER_API CentralDifferenceSolver : public sofa::component::odesolver::OdeSolverImpl
{
public:

    CentralDifferenceSolver();

    void solve (double dt);

    Data<double> f_rayleighMass;


	/// Given an input derivative order (0 for position, 1 for velocity, 2 for acceleration),
	/// how much will it affect the output derivative of the given order.
	virtual double getIntegrationFactor(int inputDerivative, int outputDerivative) const
	{
		const double dt = getContext()->getDt();
		double matrix[3][3] = {
			{ 1, dt, dt*dt},
			{ 0, 1, dt},
			{ 0, 0, 0}};
		if (inputDerivative >= 3 || outputDerivative >= 3)
			return 0;
		else
			return matrix[outputDerivative][inputDerivative];
	}

	/// Given a solution of the linear system,
	/// how much will it affect the output derivative of the given order.
    ///
	virtual double getSolutionIntegrationFactor(int outputDerivative) const
	{
		const double dt = getContext()->getDt();
		double vect[3] = { dt*dt, dt, 1};
		if (outputDerivative >= 3)
			return 0;
		else
			return vect[outputDerivative];
	}
};

} // namespace odesolver

} // namespace component

} // namespace sofa

#endif