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libmultiscale/src/math/product_function.hh
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product_function.hh
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/**
* @file product_function.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @date Mon Jan 07 16:36:30 2013
*
* @brief This allows to create a function based on the product between two other functions
*
* @section LICENSE
*
* Copyright (©) 2010-2011 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* LibMultiScale 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 3 of the License, or (at your option) any
* later version.
*
* LibMultiScale 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 LibMultiScale. If not, see <http://www.gnu.org/licenses/>.
*
*/
#ifndef __LIBMULTISCALE_PRODUCT_FUNCTION_HH__
#define __LIBMULTISCALE_PRODUCT_FUNCTION_HH__
/* -------------------------------------------------------------------------- */
#include "function_interface.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_LIBMULTISCALE__
/** Class ProductFunction
*
* This class permits to multiply to functions and get the proper derivatives
*/
template <typename Function1, typename Function2>
class ProductFunction : public FunctionInterface
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
ProductFunction(Function1 & f1,Function2 & f2):func1(f1), func2(f2){};
virtual ~ProductFunction(){};
template <UInt derivation_order, bool fps=true>
class myComputeFunctor {
public:
static Real compute(Real x, Function1 & func1, Function2 & func2);
};
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
template <UInt derivation_order>
inline Real compute(Real x);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
private:
Function1 func1;
Function2 func2;
};
/* -------------------------------------------------------------------------- */
template <typename Function1, typename Function2>
template <UInt order>
inline Real ProductFunction<Function1,Function2>::compute(Real x){
return myComputeFunctor<order>::compute(x,func1,func2);
}
/* -------------------------------------------------------------------------- */
template <typename Function1, typename Function2>
template <UInt derivation_order,bool fps>
inline Real ProductFunction<Function1,Function2>
::myComputeFunctor<derivation_order,fps>::compute(Real x, Function1 & func1, Function2 & func2){
LM_TOIMPLEMENT;
}
/* -------------------------------------------------------------------------- */
template <typename Function1, typename Function2>
template <bool fps>
class ProductFunction<Function1,Function2>::myComputeFunctor<0,fps> {
public:
static Real compute(Real x, Function1 & func1, Function2 & func2){
return func1.template compute<0>(x)*func2.template compute<0>(x);
}
};
/* -------------------------------------------------------------------------- */
template <typename Function1, typename Function2>
template <bool fps>
class ProductFunction<Function1,Function2>::myComputeFunctor<1,fps> {
public:
static Real compute(Real x, Function1 & func1, Function2 & func2){
return
func1.template compute<0>(x)*func2.template compute<1>(x)
+
func1.template compute<1>(x)*func2.template compute<0>(x);
}
};
/* -------------------------------------------------------------------------- */
template <typename Function1, typename Function2>
template <bool fps>
class ProductFunction<Function1,Function2>::myComputeFunctor<2,fps> {
public:
static Real compute(Real x, Function1 & func1, Function2 & func2){
return
func1.template compute<0>(x)*func2.template compute<2>(x)
+
2.*func1.template compute<1>(x)*func2.template compute<1>(x)
+
func1.template compute<2>(x)*func2.template compute<0>(x);
}
};
/* -------------------------------------------------------------------------- */
template <typename Function1, typename Function2>
template <bool fps>
class ProductFunction<Function1,Function2>::myComputeFunctor<3,fps> {
public:
static Real compute(Real x, Function1 & func1, Function2 & func2){
return
func1.template compute<0>(x)*func2.template compute<3>(x)
+
3.*func1.template compute<1>(x)*func2.template compute<2>(x)
+
3.*func1.template compute<2>(x)*func2.template compute<1>(x)
+
func1.template compute<3>(x)*func2.template compute<0>(x);
}
};
/* -------------------------------------------------------------------------- */
__END_LIBMULTISCALE__
#endif /* __LIBMULTISCALE_PRODUCT_FUNCTION_HH__ */
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