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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                             *
******************************************************************************/
// Author: François Faure, INRIA-UJF, (C) 2006
//
// Copyright: See COPYING file that comes with this distribution
#ifndef SOFA_COMPONENT_ODESOLVER_CGIMPLICITSOLVER_H
#define SOFA_COMPONENT_ODESOLVER_CGIMPLICITSOLVER_H

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

namespace sofa
{

namespace component
{

namespace odesolver
{

using namespace sofa::defaulttype;

/** Implicit time integrator using the filtered conjugate gradient solution [Baraff&Witkin 98].
*/
class SOFA_COMPONENT_ODESOLVER_API CGImplicitSolver : public OdeSolverImpl
{
public:

	CGImplicitSolver();
        
        void solve (double dt);
	//CGImplicitSolver* setMaxIter( int maxiter );
        
        Data<unsigned> f_maxIter;
        Data<double> f_tolerance;
        Data<double> f_smallDenominatorThreshold;
        Data<double> f_rayleighStiffness;
        Data<double> f_rayleighMass;
        Data<double> f_velocityDamping;
        Data<bool> f_verbose;

	/// 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.
    ///
    /// This method is used to compute the compliance for contact corrections.
	/// For example, a backward-Euler dynamic implicit integrator would use:
	/// Input:      x_t  v_t  a_{t+dt}
	/// x_{t+dt}     1    dt  dt^2
	/// v_{t+dt}     0    1   dt
	///
	/// If the linear system is expressed on s = a_{t+dt} dt, then the final factors are:
	/// Input:      x_t   v_t    a_t  s
	/// x_{t+dt}     1    dt     0    dt
	/// v_{t+dt}     0    1      0    1
	/// a_{t+dt}     0    0      0    1/dt
	/// The last column is returned by the getSolutionIntegrationFactor method.
	double getIntegrationFactor(int inputDerivative, int outputDerivative) const 
	{
	  const double dt = this->getContext()->getDt();
		double matrix[3][3] = {
			{ 1, dt, 0},
			{ 0, 1, 0},
			{ 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.
	double getSolutionIntegrationFactor(int outputDerivative) const
	{
		const double dt = getContext()->getDt();
		double vect[3] = { dt, 1, 1/dt};
		if (outputDerivative >= 3)
			return 0;
		else
			return vect[outputDerivative];
	}

    protected:
        
/*	unsigned maxCGIter;
	double smallDenominatorThreshold;
	double tolerance;
	double rayleighStiffness;
	double rayleighMass;
	double velocityDamping;*/
};

} // namespace odesolver

} // namespace component

} // namespace sofa

#endif