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- /*
- [auto_generated]
- libs/numeric/odeint/test/trivial_state.cpp
- [begin_description]
- This file tests if the steppers can integrate the trivial state consisting of a single double.
- [end_description]
- Copyright 2012-2013 Mario Mulansky
- Copyright 2012 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)
- */
- #include <limits>
- // disable checked iterator warning for msvc
- #include <boost/config.hpp>
- #ifdef BOOST_MSVC
- #pragma warning(disable:4996)
- #endif
- #define BOOST_TEST_MODULE odeint_trivial_state
- #include <boost/test/unit_test.hpp>
- #include <boost/mpl/vector.hpp>
- #include <boost/mpl/int.hpp>
- #include <boost/mpl/at.hpp>
- #include <boost/numeric/odeint/stepper/euler.hpp>
- #include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
- #include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
- #include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
- #include <boost/numeric/odeint/stepper/generation.hpp>
- #include <boost/numeric/odeint/integrate/integrate_adaptive.hpp>
- #include <boost/numeric/odeint/algebra/vector_space_algebra.hpp>
- using namespace boost::unit_test;
- using namespace boost::numeric::odeint;
- namespace mpl = boost::mpl;
- struct constant_system
- {
- template< typename T >
- void operator()( const T &x , T &dxdt , const T t ) const
- { dxdt = 1.0; }
- };
- BOOST_AUTO_TEST_SUITE( trivial_state_test )
- /* test different do_step methods of simple steppers */
- typedef mpl::vector<
- euler< double > ,
- runge_kutta4< double > ,
- // with floats all four parameters have to be given explicitly to override default double
- euler< float , float , float , float > ,
- runge_kutta4< float , float , float , float >
- >::type stepper_types;
- BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step , T, stepper_types )
- {
- typedef T stepper_type;
- stepper_type stepper;
- typename stepper_type::state_type x = 0.0;
- typename stepper_type::time_type t = 0.0;
- typename stepper_type::time_type dt = 0.1;
- stepper.do_step( constant_system() , x , t , dt );
- BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
- // this overload is not allowed if the types of dxdt and dt are the same
- // deriv_type dxdt = 1.0;
- // stepper.do_step( constant_system , x , dxdt , t , dt );
- typename stepper_type::state_type x_out;
- stepper.do_step( constant_system() , x , t , x_out , dt );
- BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
- BOOST_CHECK_CLOSE( x_out , 0.2 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
- }
- /* test integrate_adaptive with controlled steppers */
- typedef mpl::vector<
- runge_kutta_cash_karp54< double > ,
- runge_kutta_dopri5< double > ,
- // with floats all four parameters have to be given explicitly to override default double
- runge_kutta_cash_karp54< float , float , float , float > ,
- runge_kutta_dopri5< float , float , float , float >
- > error_stepper_types;
- BOOST_AUTO_TEST_CASE_TEMPLATE( test_integrate , T , error_stepper_types )
- {
- typedef T stepper_type;
- typename stepper_type::state_type x = 0.0;
- typename stepper_type::time_type t0 = 0.0;
- typename stepper_type::time_type t1 = 1.0;
- typename stepper_type::time_type dt = 0.1;
- integrate_adaptive( make_controlled< stepper_type >( 1e-6 , 1e-6 ) , constant_system() , x , t0 , t1 , dt );
- BOOST_CHECK_CLOSE( x , 1.0 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
- }
- BOOST_AUTO_TEST_SUITE_END()
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