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- /*
- [auto_generated]
- libs/numeric/odeint/test/integrate_times.cpp
- [begin_description]
- This file tests the integrate_times function and its variants.
- [end_description]
- Copyright 2011-2012 Karsten Ahnert
- Copyright 2011-2012 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_integrate_times
- #include <boost/test/unit_test.hpp>
- #include <utility>
- #include <iostream>
- #include <vector>
- #include <boost/ref.hpp>
- #include <boost/iterator/counting_iterator.hpp>
- #ifndef ODEINT_INTEGRATE_ITERATOR
- #include <boost/numeric/odeint/integrate/integrate_times.hpp>
- #include <boost/numeric/odeint/integrate/integrate_adaptive.hpp>
- #else
- #include <boost/numeric/odeint/iterator/integrate/integrate_times.hpp>
- #include <boost/numeric/odeint/iterator/integrate/integrate_adaptive.hpp>
- #endif
- #include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
- #include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
- #include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
- #include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp>
- #include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp>
- #include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp>
- #include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp>
- using namespace boost::unit_test;
- using namespace boost::numeric::odeint;
- typedef double value_type;
- typedef std::vector< value_type > state_type;
- void lorenz( const state_type &x , state_type &dxdt , const value_type t )
- {
- BOOST_CHECK( t >= 0.0 );
- const value_type sigma( 10.0 );
- const value_type R( 28.0 );
- const value_type b( value_type( 8.0 ) / value_type( 3.0 ) );
- dxdt[0] = sigma * ( x[1] - x[0] );
- dxdt[1] = R * x[0] - x[1] - x[0] * x[2];
- dxdt[2] = -b * x[2] + x[0] * x[1];
- }
- struct push_back_time
- {
- std::vector< double >& m_times;
- push_back_time( std::vector< double > × )
- : m_times( times ) { }
- void operator()( const state_type &x , double t )
- {
- m_times.push_back( t );
- }
- };
- BOOST_AUTO_TEST_SUITE( integrate_times_test )
- BOOST_AUTO_TEST_CASE( test_integrate_times )
- {
- state_type x( 3 );
- x[0] = x[1] = x[2] = 10.0;
- const value_type dt = 0.03;
- std::vector< double > times;
- std::cout << "test rk4 stepper" << std::endl;
- // simple stepper
- integrate_times( runge_kutta4< state_type >() , lorenz , x , boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- times.clear();
- std::cout << "test dopri5 stepper" << std::endl;
- // controlled stepper
- integrate_times( controlled_runge_kutta< runge_kutta_dopri5< state_type > >() , lorenz , x ,
- boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- times.clear();
- std::cout << "test BS stepper" << std::endl;
- //another controlled stepper
- integrate_times( bulirsch_stoer< state_type >() , lorenz , x ,
- boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- times.clear();
- std::cout << "test dense_out stepper" << std::endl;
- // dense output stepper
- integrate_times( dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > >() ,
- lorenz , x ,
- boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- std::cout << "test BS_do stepper" << std::endl;
- integrate_times( bulirsch_stoer_dense_out< state_type >() , lorenz , x ,
- boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- }
- BOOST_AUTO_TEST_CASE( test_integrate_times_ranges )
- {
- state_type x( 3 );
- x[0] = x[1] = x[2] = 10.0;
- const value_type dt = 0.03;
- std::vector< double > times;
- // simple stepper
- integrate_times( runge_kutta4< state_type >() , lorenz , x ,
- std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- times.clear();
- // controlled stepper
- integrate_times( controlled_runge_kutta< runge_kutta_dopri5< state_type > >() , lorenz , x ,
- std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- times.clear();
- //another controlled stepper
- integrate_times( bulirsch_stoer< state_type >() , lorenz , x ,
- std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- times.clear();
- // dense output stepper
- integrate_times( bulirsch_stoer_dense_out< state_type >() , lorenz , x ,
- std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
- dt , push_back_time( times ) );
- for( int i=0 ; i<10 ; ++i )
- // check if observer was called at times 0,1,2,...
- BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
- }
- BOOST_AUTO_TEST_CASE( test_integrate_times_overshoot )
- {
- state_type x( 3 );
- x[0] = x[1] = x[2] = 10.0;
- double dt = -0.1;
- std::vector<double> times( 10 );
- for( int i=0 ; i<10 ; ++i )
- times[i] = 1.0-i*1.0/9.0;
- std::cout << "test rk4 stepper" << std::endl;
- // simple stepper
- std::vector<double> obs_times;
- int steps = integrate_times( runge_kutta4< state_type >() , lorenz , x ,
- times.begin() , times.end() ,
- dt , push_back_time( obs_times ) );
- // different behavior for the iterator based integrate implementaton
- #ifndef ODEINT_INTEGRATE_ITERATOR
- BOOST_CHECK_EQUAL( steps , 18 ); // we really need 18 steps because dt and
- // the difference of the observation times
- // are so out of sync
- #else
- // iterator based implementation can only return the number of iteration steps
- BOOST_CHECK_EQUAL( steps , 9 );
- #endif
- for( int i=0 ; i<10 ; ++i )
- BOOST_CHECK_EQUAL( times[i] , obs_times[i] );
- std::cout << "test rk_ck stepper" << std::endl;
- // controlled stepper
- obs_times.clear();
- integrate_times( controlled_runge_kutta< runge_kutta_cash_karp54< state_type > >() , lorenz , x ,
- times.begin() , times.end() ,
- dt , push_back_time( obs_times ) );
- for( int i=0 ; i<10 ; ++i )
- BOOST_CHECK_EQUAL( times[i] , obs_times[i] );
- std::cout << "test dopri5 stepper" << std::endl;
- // controlled stepper
- obs_times.clear();
- integrate_times( dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > >() , lorenz , x ,
- times.begin() , times.end() ,
- dt , push_back_time( obs_times ) );
- for( int i=0 ; i<10 ; ++i )
- BOOST_CHECK_EQUAL( times[i] , obs_times[i] );
- }
- BOOST_AUTO_TEST_SUITE_END()
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