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libmultiscale/src/math/gaussian_function.hh
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gaussian_function.hh
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/**
* @file gaussian_function.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
*
* @date Mon Jan 07 16:36:30 2013
*
* @brief This is a gaussian function
*
* @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_GAUSSIAN_FUNCTION_HH__
#define __LIBMULTISCALE_GAUSSIAN_FUNCTION_HH__
/* -------------------------------------------------------------------------- */
#include "function_interface.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_LIBMULTISCALE__
/** Class GaussianFunction
*
* This class implements a gaussian function principally for tests
*/
class GaussianFunction : public FunctionInterface {
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public:
GaussianFunction(Real v){
T = v;
T2 = T*T;
_1_T2 = 1./T2;
_1_T4 = _1_T2*_1_T2;
};
virtual ~GaussianFunction(){};
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public:
template <UInt derivation_order>
inline Real compute(Real x);
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public:
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
private:
Real T;
Real T2;
Real _1_T2;
Real _1_T4;
};
/* -------------------------------------------------------------------------- */
template <UInt derivation_order>
inline Real GaussianFunction::compute(Real x){
LM_TOIMPLEMENT;
}
/* -------------------------------------------------------------------------- */
template <>
inline Real GaussianFunction::compute<0>(Real x){
return exp(-1.*x*x/T2);
}
/* -------------------------------------------------------------------------- */
template <>
inline Real GaussianFunction::compute<1>(Real x){
return -2*_1_T2*x* compute<0>(x);
}
/* -------------------------------------------------------------------------- */
template <>
inline Real GaussianFunction::compute<2>(Real x){
return -2*_1_T2*(1-2*x*x*_1_T2)* compute<0>(x);
}
/* -------------------------------------------------------------------------- */
template <>
inline Real GaussianFunction::compute<3>(Real x){
return 4*x*_1_T4*(3-2*x*x*_1_T2)* compute<0>(x);
}
/* -------------------------------------------------------------------------- */
__END_LIBMULTISCALE__
#endif /* __LIBMULTISCALE_GAUSSIAN_FUNCTION_HH__ */
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