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/*
[auto_generated]
boost/numeric/odeint/stepper/symplectic_euler.hpp
[begin_description]
Implementation of the symplectic Euler for separable Hamiltonian systems.
[end_description]
Copyright 2011-2013 Karsten Ahnert
Copyright 2011-2013 Mario Mulansky
Distributed under the Boost Software License, Version 1.0.
(See accompanying file LICENSE_1_0.txt or
copy at http://www.boost.org/LICENSE_1_0.txt)
*/
#ifndef BOOST_NUMERIC_ODEINT_STEPPER_SYMPLECTIC_EULER_HPP_INCLUDED
#define BOOST_NUMERIC_ODEINT_STEPPER_SYMPLECTIC_EULER_HPP_INCLUDED
#include <boost/numeric/odeint/stepper/base/symplectic_rkn_stepper_base.hpp>
#include <boost/numeric/odeint/algebra/range_algebra.hpp>
#include <boost/numeric/odeint/algebra/default_operations.hpp>
#include <boost/numeric/odeint/algebra/algebra_dispatcher.hpp>
#include <boost/numeric/odeint/algebra/operations_dispatcher.hpp>
#include <boost/array.hpp>
namespace boost {
namespace numeric {
namespace odeint {
#ifndef DOXYGEN_SKIP
namespace detail {
namespace symplectic_euler_coef {
template< class Value >
struct coef_a_type : public boost::array< Value , 1 >
{
coef_a_type( void )
{
(*this)[0] = static_cast< Value >( 1 );
}
};
template< class Value >
struct coef_b_type : public boost::array< Value , 1 >
{
coef_b_type( void )
{
(*this)[0] = static_cast< Value >( 1 );
}
};
} // namespace symplectic_euler_coef
} // namespace detail
#endif
template<
class Coor ,
class Momentum = Coor ,
class Value = double ,
class CoorDeriv = Coor ,
class MomentumDeriv = Coor ,
class Time = Value ,
class Algebra = typename algebra_dispatcher< Coor >::algebra_type ,
class Operations = typename operations_dispatcher< Coor >::operations_type ,
class Resizer = initially_resizer
>
#ifndef DOXYGEN_SKIP
class symplectic_euler :
public symplectic_nystroem_stepper_base
<
1 , 1 ,
Coor , Momentum , Value , CoorDeriv , MomentumDeriv , Time , Algebra , Operations , Resizer
>
#else
class symplectic_euler : public symplectic_nystroem_stepper_base
#endif
{
public:
#ifndef DOXYGEN_SKIP
typedef symplectic_nystroem_stepper_base<
1 , 1 , Coor , Momentum , Value , CoorDeriv , MomentumDeriv , Time , Algebra , Operations , Resizer > stepper_base_type;
#endif
typedef typename stepper_base_type::algebra_type algebra_type;
typedef typename stepper_base_type::value_type value_type;
symplectic_euler( const algebra_type &algebra = algebra_type() )
: stepper_base_type( detail::symplectic_euler_coef::coef_a_type< value_type >() ,
detail::symplectic_euler_coef::coef_b_type< value_type >() ,
algebra )
{ }
};
/*************** DOXYGEN ***************/
/**
* \class symplectic_euler
* \brief Implementation of the symplectic Euler method.
*
* The method is of first order and has one stage. It is described HERE.
*
* \tparam Order The order of the stepper.
* \tparam Coor The type representing the coordinates q.
* \tparam Momentum The type representing the coordinates p.
* \tparam Value The basic value type. Should be something like float, double or a high-precision type.
* \tparam CoorDeriv The type representing the time derivative of the coordinate dq/dt.
* \tparam MomemtnumDeriv The type representing the time derivative of the momentum dp/dt.
* \tparam Time The type representing the time t.
* \tparam Algebra The algebra.
* \tparam Operations The operations.
* \tparam Resizer The resizer policy.
*/
/**
* \fn symplectic_euler::symplectic_euler( const algebra_type &algebra )
* \brief Constructs the symplectic_euler. This constructor can be used as a default
* constructor if the algebra has a default constructor.
* \param algebra A copy of algebra is made and stored inside explicit_stepper_base.
*/
} // namespace odeint
} // namespace numeric
} // namespace boost
#endif // BOOST_NUMERIC_ODEINT_STEPPER_SYMPLECTIC_EULER_HPP_INCLUDED
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