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// This file is part of ff3d - http://www.freefem.org/ff3d
// Copyright (C) 2001, 2002, 2003 Stphane Del Pino
// This program 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 2, or (at your option)
// any later version.
// This program 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 this program; if not, write to the Free Software Foundation,
// Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
// $Id: VariationalFormulaExpression.hpp,v 1.3 2005/06/11 13:17:08 delpinux Exp $
#ifndef VARIATIONAL_FORMULA_EXPRESSION_HPP
#define VARIATIONAL_FORMULA_EXPRESSION_HPP
#include <Expression.hpp>
#include <ReferenceCounting.hpp>
#include <MultiLinearFormExpression.hpp>
#include <list>
#include <BoundaryExpression.hpp>
#include <VariationalOperatorExpression.hpp>
/**
* @file VariationalFormulaExpression.hpp
* @author Stephane Del Pino
* @date Mon May 27 18:16:55 2002
*
* @brief reads the bilinear form and interprets it
*
* This class jobs is to understand the bilinear and linear forms in
*order to discretize them.
*/
class VariationalFormulaExpression
: public Expression
{
private:
friend class VariationalProblemExpression;
ReferenceCounting<MultiLinearFormSumExpression>
__givenMultiLinearExpression; /**< the fiven multi-linear expression */
typedef std::list<ReferenceCounting<VariationalBilinearOperatorExpression> >
BilinearOperatorList;
BilinearOperatorList __bilinearPlus; /**< added bilinear expressions */
BilinearOperatorList __bilinearMinus; /**< removed bilinear expressions */
BilinearOperatorList __bilinearBorderPlus; /**< added bilinear expressions living on a border */
BilinearOperatorList __bilinearBorderMinus; /**< removed bilinear expressions living on a border */
typedef std::list<ReferenceCounting<VariationalLinearOperatorExpression> >
LinearOperatorList;
LinearOperatorList __linearPlus; /**< added linear expressions */
LinearOperatorList __linearMinus; /**< removed linear expressions */
LinearOperatorList __linearBorderPlus; /**< added linear expressions living on a border */
LinearOperatorList __linearBorderMinus; /**< removed linear expressions living on a border */
/**
* printes operators lists
*
* @param listType a list
* @param delimiter typically '+' or '-'
* @param os given stream
*
* @return modified stream
*/
template <typename ListType>
std::ostream& __putList(const ListType& listType,
char delimiter,
bool& first,
std::ostream& os) const;
/**
* Overloading of Expression::put()
*
* @param os incoming stream
*
* @return os modified stream
*/
std::ostream& put(std::ostream& os) const;
/**
* Internal function used to rewrite the variational formula in term of
* linear and bilinear form
*/
void __getBandLForms2D(MultiLinearExpressionSum::iterator begin,
MultiLinearExpressionSum::iterator end,
BilinearOperatorList& bilinearPlus,
BilinearOperatorList& bilinearMinus,
LinearOperatorList& linearPlus,
LinearOperatorList& linearMinus,
ReferenceCounting<BoundaryExpression> b);
/**
* Internal function used to rewrite the variational formula in term of
* linear and bilinear form
*/
void __getBandLForms3D(MultiLinearExpressionSum::iterator begin,
MultiLinearExpressionSum::iterator end,
BilinearOperatorList& bilinearPlus,
BilinearOperatorList& bilinearMinus,
LinearOperatorList& linearPlus,
LinearOperatorList& linearMinus);
/**
* Internal function used to rewrite the variational formula in term of
* linear and bilinear form
*/
void __getBilinearAndLinearForms(MultiLinearFormSumExpression::iterator begin,
MultiLinearFormSumExpression::iterator end,
BilinearOperatorList& bilinearPlus,
BilinearOperatorList& bilinearMinus,
BilinearOperatorList& bilinearBorderPlus,
BilinearOperatorList& bilinearBorderMinus,
LinearOperatorList& linearPlus,
LinearOperatorList& linearMinus,
LinearOperatorList& linearBorderPlus,
LinearOperatorList& linearBorderMinus);
public:
/**
* Expression::execute() overloading
*
*/
void execute();
/**
* Constructor
*
* @param m multi-linear form
*
*/
VariationalFormulaExpression(ReferenceCounting<MultiLinearFormSumExpression> m);
/**
* Copy constructor
*
* @param v a Variational formula
*
*/
VariationalFormulaExpression(const VariationalFormulaExpression& v);
/**
* The destructor
*
*/
~VariationalFormulaExpression();
};
#endif // VARIATIONAL_FORMULA_EXPRESSION_HPP
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