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runge_kutta_fehlberg78.hpp
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stepper_categories.hpp
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/usr/include/boost/numeric/odeint/stepper/runge_kutta4.hpp
(5860B)
/* [auto_generated] boost/numeric/odeint/stepper/runge_kutta4.hpp [begin_description] Implementation of the classical Runge-Kutta stepper with the generic stepper. [end_description] Copyright 2011-2013 Mario Mulansky Copyright 2011-2013 Karsten Ahnert 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_RUNGE_KUTTA4_HPP_INCLUDED #define BOOST_NUMERIC_ODEINT_STEPPER_RUNGE_KUTTA4_HPP_INCLUDED #include <boost/fusion/container/vector.hpp> #include <boost/fusion/container/generation/make_vector.hpp> #include <boost/numeric/odeint/stepper/explicit_generic_rk.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> #include <boost/numeric/odeint/util/resizer.hpp> namespace boost { namespace numeric { namespace odeint { #ifndef DOXYGEN_SKIP template< class Value = double > struct rk4_coefficients_a1 : boost::array< Value , 1 > { rk4_coefficients_a1( void ) { (*this)[0] = static_cast< Value >( 1 ) / static_cast< Value >( 2 ); } }; template< class Value = double > struct rk4_coefficients_a2 : boost::array< Value , 2 > { rk4_coefficients_a2( void ) { (*this)[0] = static_cast<Value>(0); (*this)[1] = static_cast< Value >( 1 ) / static_cast< Value >( 2 ); } }; template< class Value = double > struct rk4_coefficients_a3 : boost::array< Value , 3 > { rk4_coefficients_a3( void ) { (*this)[0] = static_cast<Value>(0); (*this)[1] = static_cast<Value>(0); (*this)[2] = static_cast<Value>(1); } }; template< class Value = double > struct rk4_coefficients_b : boost::array< Value , 4 > { rk4_coefficients_b( void ) { (*this)[0] = static_cast<Value>(1)/static_cast<Value>(6); (*this)[1] = static_cast<Value>(1)/static_cast<Value>(3); (*this)[2] = static_cast<Value>(1)/static_cast<Value>(3); (*this)[3] = static_cast<Value>(1)/static_cast<Value>(6); } }; template< class Value = double > struct rk4_coefficients_c : boost::array< Value , 4 > { rk4_coefficients_c( void ) { (*this)[0] = static_cast<Value>(0); (*this)[1] = static_cast< Value >( 1 ) / static_cast< Value >( 2 ); (*this)[2] = static_cast< Value >( 1 ) / static_cast< Value >( 2 ); (*this)[3] = static_cast<Value>(1); } }; #endif template< class State , class Value = double , class Deriv = State , class Time = Value , class Algebra = typename algebra_dispatcher< State >::algebra_type , class Operations = typename operations_dispatcher< State >::operations_type , class Resizer = initially_resizer > #ifndef DOXYGEN_SKIP class runge_kutta4 : public explicit_generic_rk< 4 , 4 , State , Value , Deriv , Time , Algebra , Operations , Resizer > #else class runge_kutta4 : public explicit_generic_rk #endif { public: #ifndef DOXYGEN_SKIP typedef explicit_generic_rk< 4 , 4 , State , Value , Deriv , Time , Algebra , Operations , Resizer > stepper_base_type; #endif typedef typename stepper_base_type::state_type state_type; typedef typename stepper_base_type::value_type value_type; typedef typename stepper_base_type::deriv_type deriv_type; typedef typename stepper_base_type::time_type time_type; typedef typename stepper_base_type::algebra_type algebra_type; typedef typename stepper_base_type::operations_type operations_type; typedef typename stepper_base_type::resizer_type resizer_type; #ifndef DOXYGEN_SKIP typedef typename stepper_base_type::wrapped_state_type wrapped_state_type; typedef typename stepper_base_type::wrapped_deriv_type wrapped_deriv_type; typedef typename stepper_base_type::stepper_type stepper_type; #endif runge_kutta4( const algebra_type &algebra = algebra_type() ) : stepper_base_type( boost::fusion::make_vector( rk4_coefficients_a1<Value>() , rk4_coefficients_a2<Value>() , rk4_coefficients_a3<Value>() ) , rk4_coefficients_b<Value>() , rk4_coefficients_c<Value>() , algebra ) { } }; /** * \class runge_kutta4 * \brief The classical Runge-Kutta stepper of fourth order. * * The Runge-Kutta method of fourth order is one standard method for * solving ordinary differential equations and is widely used, see also * <a href="http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">en.wikipedia.org/wiki/Runge-Kutta_methods</a> * The method is explicit and fulfills the Stepper concept. Step size control * or continuous output are not provided. * * This class derives from explicit_stepper_base and inherits its interface via CRTP (current recurring template pattern). * Furthermore, it derivs from explicit_generic_rk which is a generic Runge-Kutta algorithm. For more details see * explicit_stepper_base and explicit_generic_rk. * * \tparam State The state type. * \tparam Value The value type. * \tparam Deriv The type representing the time derivative of the state. * \tparam Time The time representing the independent variable - the time. * \tparam Algebra The algebra type. * \tparam Operations The operations type. * \tparam Resizer The resizer policy type. */ /** * \fn runge_kutta4::runge_kutta4( const algebra_type &algebra = algebra_type() ) * \brief Constructs the runge_kutta4 class. 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. */ } } } #endif // BOOST_NUMERIC_ODEINT_STEPPER_RUNGE_KUTTA4_HPP_INCLUDED
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