| /* |
| [auto_generated] |
| libs/numeric/odeint/test/adams_bashforth_moulton.cpp |
| |
| [begin_description] |
| This file tests the use of the Adams-Bashforth-Moulton. |
| [end_description] |
| |
| Copyright 2011-2012 Karsten Ahnert |
| Copyright 2011 Mario Mulansky |
| |
| 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) |
| */ |
| |
| #define BOOST_TEST_MODULE odeint_adams_bashforth_moulton |
| |
| #include <utility> |
| |
| #include <boost/test/unit_test.hpp> |
| |
| #include <boost/mpl/list.hpp> |
| #include <boost/mpl/size_t.hpp> |
| #include <boost/mpl/range_c.hpp> |
| |
| #include <boost/numeric/odeint/stepper/adams_bashforth_moulton.hpp> |
| |
| using namespace boost::unit_test; |
| using namespace boost::numeric::odeint; |
| |
| typedef double value_type; |
| |
| struct lorenz |
| { |
| template< class State , class Deriv , class Value > |
| void operator()( const State &_x , Deriv &_dxdt , const Value &dt ) const |
| { |
| const value_type sigma = 10.0; |
| const value_type R = 28.0; |
| const value_type b = 8.0 / 3.0; |
| |
| typename boost::range_iterator< const State >::type x = boost::begin( _x ); |
| typename boost::range_iterator< Deriv >::type dxdt = boost::begin( _dxdt ); |
| |
| dxdt[0] = sigma * ( x[1] - x[0] ); |
| dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; |
| dxdt[2] = x[0]*x[1] - b * x[2]; |
| } |
| }; |
| |
| BOOST_AUTO_TEST_SUITE( adams_bashforth_moulton_test ) |
| |
| typedef boost::mpl::range_c< size_t , 1 , 6 > vector_of_steps; |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE( test_init_and_steps , step_type , vector_of_steps ) |
| { |
| const static size_t steps = step_type::value; |
| typedef boost::array< value_type , 3 > state_type; |
| |
| adams_bashforth_moulton< steps , state_type > stepper; |
| state_type x = {{ 10.0 , 10.0 , 10.0 }}; |
| const value_type dt = 0.01; |
| value_type t = 0.0; |
| |
| stepper.initialize( lorenz() , x , t , dt ); |
| BOOST_CHECK_CLOSE( t , value_type( steps - 1 ) * dt , 1.0e-14 ); |
| |
| stepper.do_step( lorenz() , x , t , dt ); |
| } |
| |
| |
| BOOST_AUTO_TEST_CASE( test_copying ) |
| { |
| typedef boost::array< double , 1 > state_type; |
| typedef adams_bashforth_moulton< 2 , state_type > stepper_type; |
| |
| stepper_type s1; |
| |
| stepper_type s2( s1 ); |
| |
| stepper_type s3; |
| s3 = s1; |
| } |
| |
| |
| BOOST_AUTO_TEST_CASE( test_instantiation ) |
| { |
| typedef boost::array< double , 3 > state_type; |
| adams_bashforth_moulton< 1 , state_type > s1; |
| adams_bashforth_moulton< 2 , state_type > s2; |
| adams_bashforth_moulton< 3 , state_type > s3; |
| adams_bashforth_moulton< 4 , state_type > s4; |
| adams_bashforth_moulton< 5 , state_type > s5; |
| adams_bashforth_moulton< 6 , state_type > s6; |
| adams_bashforth_moulton< 7 , state_type > s7; |
| adams_bashforth_moulton< 8 , state_type > s8; |
| |
| state_type x = {{ 10.0 , 10.0 , 10.0 }}; |
| value_type t = 0.0 , dt = 0.01; |
| s1.do_step( lorenz() , x , t , dt ); |
| s2.do_step( lorenz() , x , t , dt ); |
| s3.do_step( lorenz() , x , t , dt ); |
| s4.do_step( lorenz() , x , t , dt ); |
| s5.do_step( lorenz() , x , t , dt ); |
| s6.do_step( lorenz() , x , t , dt ); |
| // s7.do_step( lorenz() , x , t , dt ); |
| // s8.do_step( lorenz() , x , t , dt ); |
| } |
| |
| |
| BOOST_AUTO_TEST_SUITE_END() |