test/rosenbrock4_mp.cpp

/*
 [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()