/*
[auto_generated]
libs/numeric/odeint/test/integrate_implicit.cpp
[begin_description]
This file tests the integrate function and its variants with the implicit steppers.
[end_description]
Copyright 2011 Mario Mulansky
Copyright 2011-2013 Karsten Ahnert
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_functions_implicit
#include <vector>
#include <cmath>
#include <iostream>
#include <boost/numeric/odeint/config.hpp>
#include <boost/array.hpp>
#include <boost/ref.hpp>
#include <boost/iterator/counting_iterator.hpp>
#include <boost/numeric/ublas/vector.hpp>
#include <boost/numeric/ublas/matrix.hpp>
#include <boost/test/unit_test.hpp>
#include <boost/mpl/vector.hpp>
#ifndef ODEINT_INTEGRATE_ITERATOR
#include <boost/numeric/odeint/integrate/integrate_const.hpp>
#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp>
#include <boost/numeric/odeint/integrate/integrate_times.hpp>
#include <boost/numeric/odeint/integrate/integrate_n_steps.hpp>
#else
#include <boost/numeric/odeint/iterator/integrate/integrate_const.hpp>
#include <boost/numeric/odeint/iterator/integrate/integrate_adaptive.hpp>
#include <boost/numeric/odeint/iterator/integrate/integrate_times.hpp>
#include <boost/numeric/odeint/iterator/integrate/integrate_n_steps.hpp>
#endif
#include <boost/numeric/odeint/stepper/rosenbrock4.hpp>
#include <boost/numeric/odeint/stepper/rosenbrock4_controller.hpp>
#include <boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp>
using namespace boost::unit_test;
using namespace boost::numeric::odeint;
namespace mpl = boost::mpl;
namespace ublas = boost::numeric::ublas;
typedef double value_type;
typedef 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;
}
};
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 );
}
};
template< class Stepper >
struct perform_integrate_const_test
{
void operator()( void )
{
state_type x( 2 , 1.0 );
const value_type dt = 0.03;
const value_type t_end = 10.0;
std::vector< value_type > times;
integrate_const( Stepper() , std::make_pair( sys() , jacobi() ) , x , 0.0 , t_end ,
dt , push_back_time( times ) );
BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , static_cast<int>(std::floor(t_end/dt))+1 );
for( size_t i=0 ; i<times.size() ; ++i )
{
//std::cout << i << std::endl;
// check if observer was called at times 0,1,2,...
BOOST_CHECK_SMALL( times[i] - static_cast< value_type >(i)*dt , (i+1) * 2.0e-16 );
}
}
};
template< class Stepper >
struct perform_integrate_adaptive_test
{
void operator()( void )
{
state_type x( 2 , 1.0 );
const value_type dt = 0.03;
const value_type t_end = 10.0;
std::vector< value_type > times;
size_t steps = integrate_adaptive( Stepper() , std::make_pair( sys() , jacobi() ) , x , 0.0 , t_end ,
dt , push_back_time( times ) );
BOOST_CHECK_EQUAL( times.size() , steps+1 );
BOOST_CHECK_SMALL( times[0] - 0.0 , 2.0e-16 );
BOOST_CHECK_SMALL( times[times.size()-1] - t_end , times.size() * 3.0e-16 );
}
};
template< class Stepper >
struct perform_integrate_times_test
{
void operator()( void )
{
state_type x( 2 , 1.0 );
const value_type dt = 0.03;
std::vector< double > times;
// simple stepper
integrate_times( Stepper() , std::make_pair( sys() , jacobi() ) , x ,
boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
dt , push_back_time( times ) );
BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , 10 );
for( size_t i=0 ; i<times.size() ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
}
};
template< class Stepper >
struct perform_integrate_n_steps_test
{
void operator()( void )
{
state_type x( 2 , 1.0 );
const value_type dt = 0.03;
const int n = 200;
std::vector< double > times;
// simple stepper
value_type end_time = integrate_n_steps( Stepper() , std::make_pair( sys() , jacobi() ) , x , 0.0 , dt , n , push_back_time( times ) );
BOOST_CHECK_SMALL( end_time - n*dt , 3.0e-16 );
BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , n+1 );
for( size_t i=0 ; i<times.size() ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_SMALL( times[i] - static_cast< value_type >(i)*dt , (i+1) * 2.0e-16 );
}
};
class stepper_methods : public mpl::vector<
rosenbrock4< value_type > ,
rosenbrock4_controller< rosenbrock4< value_type > > ,
rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4< value_type > > >
> { };
BOOST_AUTO_TEST_SUITE( integrate_test )
BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_const_test_case , Stepper, stepper_methods )
{
perform_integrate_const_test< Stepper > tester;
tester();
}
BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_adaptive_test_case , Stepper, stepper_methods )
{
perform_integrate_adaptive_test< Stepper > tester;
tester();
}
BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_times_test_case , Stepper, stepper_methods )
{
perform_integrate_times_test< Stepper > tester;
tester();
}
class simple_stepper_methods : public mpl::vector<
rosenbrock4< value_type >
> { };
BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_n_steps_test_case , Stepper, simple_stepper_methods )
{
perform_integrate_n_steps_test< Stepper > tester;
tester();
}
BOOST_AUTO_TEST_SUITE_END()