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- [/============================================================================
- Boost.odeint
- Copyright 2012 Karsten Ahnert
- Copyright 2012 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 Generation functions]
- [import ../examples/generation_functions.cpp]
- In the __tutorial we have learned how we can use the generation functions `make_controlled` and `make_dense_output` to create controlled and dense output stepper from a simple stepper or an error stepper. The syntax of these two functions is very simple:
- [generation_functions_syntax_auto]
- The first two parameters are the absolute and the relative error tolerances and the third parameter is the stepper. Additionally, a second version exists where additionally a maximal step size is supplied which ensures the the step size is not increased above this value.
- In C++03 you can infer the type from the `result_of` mechanism:
- [generation_functions_syntax_result_of]
- To use your own steppers with the `make_controlled` or `make_dense_output` you need to specialize two class templates. Suppose your steppers are called `custom_stepper`, `custom_controller` and `custom_dense_output`. Then, the first class you need to specialize is `boost::numeric::get_controller`, a meta function returning the type of the controller:
- [generation_functions_get_controller]
- The second one is a factory class `boost::numeric::odeint::controller_factory` which constructs the controller from the tolerances and the stepper. In our dummy implementation this class is
- [generation_functions_controller_factory]
- This is all to use the `make_controlled` mechanism. Now you can use your controller via
- [generation_functions_example_custom_controller]
- For the dense_output_stepper everything works similar. Here you have to specialize `boost::numeric::odeint::get_dense_output` and `boost::numeric::odeint::dense_output_factory`. These two classes have the same syntax as their relatives `get_controller` and `controller_factory`.
- All controllers and dense-output steppers in odeint can be used with these mechanisms. In the table below you will find, which steppers is constructed from `make_controlled` or `make_dense_output` if applied on a stepper from odeint:
- [include make_controlled_table.qbk]
- [include make_dense_output_table.qbk]
- [endsect]
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