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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: ScalarFunctionIntegrate.hpp,v 1.4 2006/10/28 12:26:54 delpinux Exp $
#ifndef SCALAR_FUNCTION_INTEGRATE_HPP
#define SCALAR_FUNCTION_INTEGRATE_HPP
#include <ScalarFunctionBase.hpp>
#include <FEMFunctionBase.hpp>
/**
* @file ScalarFunctionIntegrate.hpp
* @author Stephane Del Pino
* @date Thu Jul 20 01:35:04 2006
*
* @brief integrates a function in a direction @f$ \int_a^b f dx_i @f$
*
* @bug only implemented for FEM functions
*/
class ScalarFunctionIntegrate
: public ScalarFunctionBase
{
public:
enum Direction {
x=0,
y=1,
z=2
};
private:
ConstReferenceCounting<ScalarFunctionBase>
__lowerBound; /**< lower bound of integration @f$ a @f$ */
ConstReferenceCounting<ScalarFunctionBase>
__upperBound; /**< upper bound of integration @f$ b @f$ */
ConstReferenceCounting<FEMFunctionBase>
__functionToIntegrate; /**< function to integrate @f$ f @f$ */
const Direction __direction; /**< direction of integration */
/**
* Evaluate the function using the mesh specialization
*
* @param X the position evaluation
*/
template <typename MeshType>
real_t __evaluate(const TinyVector<3,real_t>& X) const;
/**
* Writes the function to a stream
*
* @param os output stream
*
* @return os
*/
std::ostream& __put(std::ostream& os) const;
public:
/**
* Evaluates the function to the position @f$ X @f$
*
* @param X position
*
* @return @f$ \int_d f @f$
*/
real_t operator()(const TinyVector<3,real_t>& X) const;
/**
* Checks if the function can be simplified
*
* @return false
*/
bool canBeSimplified() const
{
return false;
}
/**
* Constructor
*
* @param lowerBound lower bound of integration @f$ a @f$
* @param upperBound upper bound of integration @f$ b @f$
* @param functionToIntegrated function to integrate
* @param direction direction of integration
*/
ScalarFunctionIntegrate(ConstReferenceCounting<ScalarFunctionBase> lowerBound,
ConstReferenceCounting<ScalarFunctionBase> upperBound,
ConstReferenceCounting<ScalarFunctionBase> functionToIntegrated,
const ScalarFunctionIntegrate::Direction& direction);
/**
* Copy contructor
*
* @param f original function
*/
ScalarFunctionIntegrate(const ScalarFunctionIntegrate& f);
/**
* Destructor
*
*/
~ScalarFunctionIntegrate();
};
#endif // SCALAR_FUNCTION_INTEGRATE_HPP
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