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- /*
- [auto_generated]
- libs/numeric/odeint/test/rosenbrock4.cpp
- [begin_description]
- This file tests the Rosenbrock 4 stepper and its controller and dense output stepper.
- [end_description]
- Copyright 2009-2012 Karsten Ahnert
- Copyright 2009-2012 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)
- */
- // disable checked iterator warning for msvc
- #include <boost/config.hpp>
- #ifdef BOOST_MSVC
- #pragma warning(disable:4996)
- #endif
- #define BOOST_TEST_MODULE odeint_rosenbrock4
- #include <utility>
- #include <iostream>
- #include <boost/test/unit_test.hpp>
- #include <boost/multiprecision/cpp_dec_float.hpp>
- #include <boost/numeric/odeint/stepper/rosenbrock4.hpp>
- #include <boost/numeric/odeint/stepper/rosenbrock4_controller.hpp>
- #include <boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp>
- #include <boost/numeric/ublas/vector.hpp>
- #include <boost/numeric/ublas/matrix.hpp>
- using namespace boost::unit_test;
- using namespace boost::numeric::odeint;
- typedef boost::multiprecision::cpp_dec_float_50 value_type;
- typedef boost::numeric::ublas::vector< value_type > state_type;
- typedef boost::numeric::ublas::matrix< value_type > matrix_type;
- struct sys
- {
- void operator()( const state_type &x , state_type &dxdt , const value_type &t ) const
- {
- dxdt( 0 ) = x( 0 ) + 2 * x( 1 );
- dxdt( 1 ) = x( 1 );
- }
- };
- struct jacobi
- {
- void operator()( const state_type &x , matrix_type &jacobi , const value_type &t , state_type &dfdt ) const
- {
- jacobi( 0 , 0 ) = 1;
- jacobi( 0 , 1 ) = 2;
- jacobi( 1 , 0 ) = 0;
- jacobi( 1 , 1 ) = 1;
- dfdt( 0 ) = 0.0;
- dfdt( 1 ) = 0.0;
- }
- };
- BOOST_AUTO_TEST_SUITE( rosenbrock4_test )
- BOOST_AUTO_TEST_CASE( test_rosenbrock4_stepper )
- {
- typedef rosenbrock4< value_type > stepper_type;
- stepper_type stepper;
- typedef stepper_type::state_type state_type;
- typedef stepper_type::value_type stepper_value_type;
- typedef stepper_type::deriv_type deriv_type;
- typedef stepper_type::time_type time_type;
- state_type x( 2 ) , xerr( 2 );
- x(0) = 0.0; x(1) = 1.0;
- stepper.do_step( std::make_pair( sys() , jacobi() ) , x ,
- static_cast<value_type>(0.0) , static_cast<value_type>(0.1) , xerr );
- stepper.do_step( std::make_pair( sys() , jacobi() ) , x ,
- static_cast<value_type>(0.0) , static_cast<value_type>(0.1) );
- // using std::abs;
- // value_type eps = 1E-12;
- //
- // // compare with analytic solution of above system
- // BOOST_CHECK_SMALL( abs( x(0) - 20.0/81.0 ) , eps );
- // BOOST_CHECK_SMALL( abs( x(1) - 10.0/9.0 ) , eps );
- }
- BOOST_AUTO_TEST_CASE( test_rosenbrock4_controller )
- {
- typedef rosenbrock4_controller< rosenbrock4< value_type > > stepper_type;
- stepper_type stepper;
- typedef stepper_type::state_type state_type;
- typedef stepper_type::value_type stepper_value_type;
- typedef stepper_type::deriv_type deriv_type;
- typedef stepper_type::time_type time_type;
- state_type x( 2 );
- x( 0 ) = 0.0 ; x(1) = 1.0;
- value_type t = 0.0 , dt = 0.01;
- stepper.try_step( std::make_pair( sys() , jacobi() ) , x , t , dt );
- }
- BOOST_AUTO_TEST_CASE( test_rosenbrock4_dense_output )
- {
- typedef rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4< value_type > > > stepper_type;
- typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type;
- controlled_stepper_type c_stepper;
- stepper_type stepper( c_stepper );
- typedef stepper_type::state_type state_type;
- typedef stepper_type::value_type stepper_value_type;
- typedef stepper_type::deriv_type deriv_type;
- typedef stepper_type::time_type time_type;
- state_type x( 2 );
- x( 0 ) = 0.0 ; x(1) = 1.0;
- stepper.initialize( x , 0.0 , 0.1 );
- std::pair< value_type , value_type > tr = stepper.do_step( std::make_pair( sys() , jacobi() ) );
- stepper.calc_state( 0.5 * ( tr.first + tr.second ) , x );
- }
- BOOST_AUTO_TEST_CASE( test_rosenbrock4_copy_dense_output )
- {
- typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type;
- typedef rosenbrock4_dense_output< controlled_stepper_type > stepper_type;
- controlled_stepper_type c_stepper;
- stepper_type stepper( c_stepper );
- stepper_type stepper2( stepper );
- }
- BOOST_AUTO_TEST_SUITE_END()
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