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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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