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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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