mirror of
https://github.com/saitohirga/WSJT-X.git
synced 2024-11-20 02:52:00 -05:00
94 lines
3.7 KiB
Plaintext
94 lines
3.7 KiB
Plaintext
[/============================================================================
|
|
Boost.odeint
|
|
|
|
Copyright 2011-2012 Karsten Ahnert
|
|
Copyright 2011 Mario Mulansky
|
|
Copyright 2012 Sylwester Arabas
|
|
|
|
Use, modification and distribution is subject to 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)
|
|
=============================================================================/]
|
|
|
|
|
|
[section Stepper]
|
|
|
|
This concepts specifies the interface a simple stepper has to fulfill to be used within the __integrate_functions.
|
|
|
|
[heading Description]
|
|
|
|
The basic stepper concept.
|
|
A basic stepper following this Stepper concept is able to perform a single step of the solution /x(t)/ of an ODE to obtain /x(t+dt)/ using a given step size /dt/.
|
|
Basic steppers can be Runge-Kutta steppers, symplectic steppers as well as implicit steppers.
|
|
Depending on the actual stepper, the ODE is defined as __system, __symplectic_system, __simple_symplectic_system or __implicit_system.
|
|
Note that all error steppers are also basic steppers.
|
|
|
|
[heading Refinement of]
|
|
|
|
* DefaultConstructable
|
|
* CopyConstructable
|
|
|
|
|
|
[heading Associated types]
|
|
|
|
* '''<para>'''[*state_type]'''</para>'''
|
|
'''<para>'''`Stepper::state_type`'''</para>'''
|
|
'''<para>'''The type characterizing the state of the ODE, hence ['x].'''</para>'''
|
|
|
|
* '''<para>'''[*deriv_type]'''</para>'''
|
|
'''<para>'''`Stepper::deriv_type`'''</para>'''
|
|
'''<para>'''The type characterizing the derivative of the ODE, hence ['d x/dt].'''</para>'''
|
|
|
|
* '''<para>'''[*time_type]'''</para>'''
|
|
'''<para>'''`Stepper::time_type`'''</para>'''
|
|
'''<para>'''The type characterizing the dependent variable of the ODE, hence the time ['t].'''</para>'''
|
|
|
|
* '''<para>'''[*value_type]'''</para>'''
|
|
'''<para>'''`Stepper::value_type`'''</para>'''
|
|
'''<para>'''The numerical data type which is used within the stepper, something like `float`, `double`, `complex< double >`.'''</para>'''
|
|
|
|
* '''<para>'''[*order_type]'''</para>'''
|
|
'''<para>'''`Stepper::order_type`'''</para>'''
|
|
'''<para>'''The type characterizing the order of the ODE, typically `unsigned short`.'''</para>'''
|
|
|
|
* '''<para>'''[*stepper_category]'''</para>'''
|
|
'''<para>'''`Stepper::stepper_category`'''</para>'''
|
|
'''<para>'''A tag type characterizing the category of the stepper. This type must be convertible to `stepper_tag`.'''</para>'''
|
|
|
|
|
|
[heading Notation]
|
|
|
|
[variablelist
|
|
[[`Stepper`] [A type that is a model of Stepper]]
|
|
[[`State`] [A type representing the state /x/ of the ODE]]
|
|
[[`Time`] [A type representing the time /t/ of the ODE]]
|
|
[[`stepper`] [An object of type `Stepper`]]
|
|
[[`x`] [Object of type `State`]]
|
|
[[`t`, `dt`] [Objects of type `Time`]]
|
|
[[`sys`] [An object defining the ODE. Depending on the Stepper this might be a model of __system, __symplectic_system, __simple_symplectic_system or __implicit_system ]]
|
|
]
|
|
|
|
[heading Valid Expressions]
|
|
|
|
[table
|
|
[[Name] [Expression] [Type] [Semantics]]
|
|
[[Get the order] [`stepper.order()`] [`order_type`] [Returns the order of the stepper.]]
|
|
[[Do step] [`stepper.do_step( sys , x , t , dt )`] [`void`] [Performs one step of step size `dt`. The newly obtained state is written in place in `x`.] ]
|
|
|
|
[/ [Do step with reference] [`stepper.do_step( boost::ref(sys) , x , t , dt )`] [`void`] [Performs one step of step size `dt`. The newly obtained state is written in place in `x`.] ]
|
|
|
|
[/ [Do step out-of-place] [`stepper.do_step( sys , in , t , out , dt )`] [`void`] [Performs one step. The newly obtained state is written to `out`] ]
|
|
]
|
|
|
|
[heading Models]
|
|
|
|
* `runge_kutta4`
|
|
* `euler`
|
|
* `runge_kutta_cash_karp54`
|
|
* `runge_kutta_dopri5`
|
|
* `runge_kutta_fehlberg78`
|
|
* `modified_midpoint`
|
|
* `rosenbrock4`
|
|
|
|
[endsect]
|