1 /*
2  [auto_generated]
3  boost/numeric/odeint/integrate/integrate.hpp
4 
5  [begin_description]
6  Convenience methods which choose the stepper for the current ODE.
7  [end_description]
8 
9  Copyright 2009-2011 Karsten Ahnert
10  Copyright 2009-2011 Mario Mulansky
11 
12  Distributed under the Boost Software License, Version 1.0.
13  (See accompanying file LICENSE_1_0.txt or
14  copy at http://www.boost.org/LICENSE_1_0.txt)
15  */
16 
17 
18 #ifndef BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_HPP_INCLUDED
19 #define BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_HPP_INCLUDED
20 
21 #include <boost/utility/enable_if.hpp>
22 
23 #include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
24 #include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp>
25 #include <boost/numeric/odeint/iterator/integrate/null_observer.hpp>
26 #include <boost/numeric/odeint/iterator/integrate/integrate_adaptive.hpp>
27 
28 // for has_value_type trait
29 #include <boost/numeric/odeint/algebra/detail/extract_value_type.hpp>
30 
31 
32 namespace boost {
33 namespace numeric {
34 namespace odeint {
35 
36 
37 /*
38  * ToDo :
39  *
40  * determine type of dxdt for units
41  *
42  */
43 template< class System , class State , class Time , class Observer >
44 typename boost::enable_if< typename has_value_type<State>::type , size_t >::type
integrate(System system,State & start_state,Time start_time,Time end_time,Time dt,Observer observer)45 integrate( System system , State &start_state , Time start_time , Time end_time , Time dt , Observer observer )
46 {
47     typedef controlled_runge_kutta< runge_kutta_dopri5< State , typename State::value_type , State , Time > > stepper_type;
48     return integrate_adaptive( stepper_type() , system , start_state , start_time , end_time , dt , observer );
49 }
50 
51 
52 
53 /*
54  * the two overloads are needed in order to solve the forwarding problem
55  */
56 template< class System , class State , class Time >
integrate(System system,State & start_state,Time start_time,Time end_time,Time dt)57 size_t integrate( System system , State &start_state , Time start_time , Time end_time , Time dt )
58 {
59     return integrate( system , start_state , start_time , end_time , dt , null_observer() );
60 }
61 
62 
63 /**
64  * \fn integrate( System system , State &start_state , Time start_time , Time end_time , Time dt , Observer observer )
65  * \brief Integrates the ODE.
66  *
67  * Integrates the ODE given by system from start_time to end_time starting
68  * with start_state as initial condition and dt as initial time step.
69  * This function uses a dense output dopri5 stepper and performs an adaptive
70  * integration with step size control, thus dt changes during the integration.
71  * This method uses standard error bounds of 1E-6.
72  * After each step, the observer is called.
73  *
74  * \param system The system function to solve, hence the r.h.s. of the
75  * ordinary differential equation.
76  * \param start_state The initial state.
77  * \param start_time Start time of the integration.
78  * \param end_time End time of the integration.
79  * \param dt Initial step size, will be adjusted during the integration.
80  * \param observer Observer that will be called after each time step.
81  * \return The number of steps performed.
82  */
83 
84 
85 /**
86  * \fn integrate( System system , State &start_state , Time start_time , Time end_time , Time dt )
87  * \brief Integrates the ODE without observer calls.
88  *
89  * Integrates the ODE given by system from start_time to end_time starting
90  * with start_state as initial condition and dt as initial time step.
91  * This function uses a dense output dopri5 stepper and performs an adaptive
92  * integration with step size control, thus dt changes during the integration.
93  * This method uses standard error bounds of 1E-6.
94  * No observer is called.
95  *
96  * \param system The system function to solve, hence the r.h.s. of the
97  * ordinary differential equation.
98  * \param start_state The initial state.
99  * \param start_time Start time of the integration.
100  * \param end_time End time of the integration.
101  * \param dt Initial step size, will be adjusted during the integration.
102  * \return The number of steps performed.
103  */
104 
105 } // namespace odeint
106 } // namespace numeric
107 } // namespace boost
108 
109 
110 
111 #endif // BOOST_NUMERIC_ODEINT_INTEGRATE_INTEGRATE_HPP_INCLUDED
112