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/*
[auto_generated]
libs/numeric/odeint/test/adams_bashforth.cpp
[begin_description]
This file tests the use of the adams bashforth stepper.
[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)
*/
// disable checked iterator warning for msvc
#include <boost/config.hpp>
#ifdef BOOST_MSVC
#pragma warning(disable:4996)
#endif
#define BOOST_TEST_MODULE odeint_adams_bashforth
#include <utility>
#include <boost/array.hpp>
#include <boost/test/unit_test.hpp>
#include <boost/mpl/list.hpp>
#include <boost/mpl/size_t.hpp>
#include <boost/mpl/range_c.hpp>
#include <boost/numeric/odeint/stepper/adams_bashforth.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
using namespace boost::unit_test;
using namespace boost::numeric::odeint;
typedef double value_type;
struct lorenz
{
template< class State , class Deriv , class Value >
void operator()( const State &_x , Deriv &_dxdt , const Value &dt ) const
{
const value_type sigma = 10.0;
const value_type R = 28.0;
const value_type b = 8.0 / 3.0;
typename boost::range_iterator< const State >::type x = boost::begin( _x );
typename boost::range_iterator< Deriv >::type dxdt = boost::begin( _dxdt );
dxdt[0] = sigma * ( x[1] - x[0] );
dxdt[1] = R * x[0] - x[1] - x[0] * x[2];
dxdt[2] = x[0]*x[1] - b * x[2];
}
};
template< class State >
class rk4_decorator
{
public:
size_t do_count;
template< class System , class StateIn , class DerivIn , class StateOut >
void do_step_dxdt_impl( System system , const StateIn &in , const DerivIn &dxdt , value_type t , StateOut &out , value_type dt )
{
m_stepper.do_step( system , in , dxdt , t , out , dt );
++do_count;
}
template< class System , class StateInOut , class DerivIn >
void do_step_dxdt_impl( System system , StateInOut &x , const DerivIn &dxdt , value_type t , value_type dt )
{
m_stepper.do_step( system , x , dxdt , t , dt );
++do_count;
}
runge_kutta4< State > m_stepper;
private:
};
BOOST_AUTO_TEST_SUITE( adams_bashforth_test )
BOOST_AUTO_TEST_CASE( test_adams_bashforth_coefficients )
{
detail::adams_bashforth_coefficients< value_type , 1 > c1;
detail::adams_bashforth_coefficients< value_type , 2 > c2;
detail::adams_bashforth_coefficients< value_type , 3 > c3;
detail::adams_bashforth_coefficients< value_type , 4 > c4;
detail::adams_bashforth_coefficients< value_type , 5 > c5;
detail::adams_bashforth_coefficients< value_type , 6 > c6;
detail::adams_bashforth_coefficients< value_type , 7 > c7;
detail::adams_bashforth_coefficients< value_type , 8 > c8;
}
BOOST_AUTO_TEST_CASE( test_rotating_buffer )
{
const size_t N = 5;
detail::rotating_buffer< size_t , N > buffer;
for( size_t i=0 ; i<N ; ++i ) buffer[i] = i;
for( size_t i=0 ; i<N ; ++i )
BOOST_CHECK_EQUAL( buffer[i] , i );
buffer.rotate();
for( size_t i=1 ; i<N ; ++i )
BOOST_CHECK_EQUAL( buffer[i] , i - 1 );
BOOST_CHECK_EQUAL( buffer[0] , size_t( N-1 ) );
}
BOOST_AUTO_TEST_CASE( test_copying )
{
typedef boost::array< double , 1 > state_type;
typedef adams_bashforth< 2 , state_type > stepper_type;
stepper_type s1;
s1.step_storage()[0].m_v[0] = 1.5;
s1.step_storage()[1].m_v[0] = 2.25;
stepper_type s2( s1 );
BOOST_CHECK_CLOSE( s1.step_storage()[0].m_v[0] , s2.step_storage()[0].m_v[0] , 1.0e-14 );
BOOST_CHECK_CLOSE( s1.step_storage()[1].m_v[0] , s2.step_storage()[1].m_v[0] , 1.0e-14 );
BOOST_CHECK( ( &(s1.step_storage()[0]) ) != ( &(s2.step_storage()[0]) ) );
stepper_type s3;
state_type *p1 = &( s3.step_storage()[0].m_v ) , *p2 = &( s3.step_storage()[1].m_v );
s3 = s1;
BOOST_CHECK( p1 == ( &( s3.step_storage()[0].m_v ) ) );
BOOST_CHECK( p2 == ( &( s3.step_storage()[1].m_v ) ) );
BOOST_CHECK_CLOSE( s1.step_storage()[0].m_v[0] , s3.step_storage()[0].m_v[0] , 1.0e-14 );
BOOST_CHECK_CLOSE( s1.step_storage()[1].m_v[0] , s3.step_storage()[1].m_v[0] , 1.0e-14 );
}
typedef boost::mpl::range_c< size_t , 1 , 6 > vector_of_steps;
BOOST_AUTO_TEST_CASE_TEMPLATE( test_init_and_steps , step_type , vector_of_steps )
{
const static size_t steps = step_type::value;
typedef boost::array< value_type , 3 > state_type;
adams_bashforth< steps , state_type > stepper;
state_type x = {{ 10.0 , 10.0 , 10.0 }};
const value_type dt = 0.01;
value_type t = 0.0;
stepper.initialize( lorenz() , x , t , dt );
BOOST_CHECK_CLOSE( t , value_type( steps - 1 ) * dt , 1.0e-14 );
stepper.do_step( lorenz() , x , t , dt );
}
BOOST_AUTO_TEST_CASE( test_instantiation )
{
typedef boost::array< double , 3 > state_type;
adams_bashforth< 1 , state_type > s1;
adams_bashforth< 2 , state_type > s2;
adams_bashforth< 3 , state_type > s3;
adams_bashforth< 4 , state_type > s4;
adams_bashforth< 5 , state_type > s5;
adams_bashforth< 6 , state_type > s6;
adams_bashforth< 7 , state_type > s7;
adams_bashforth< 8 , state_type > s8;
state_type x = {{ 10.0 , 10.0 , 10.0 }};
value_type t = 0.0 , dt = 0.01;
s1.do_step( lorenz() , x , t , dt );
s2.do_step( lorenz() , x , t , dt );
s3.do_step( lorenz() , x , t , dt );
s4.do_step( lorenz() , x , t , dt );
s5.do_step( lorenz() , x , t , dt );
s6.do_step( lorenz() , x , t , dt );
// s7.do_step( lorenz() , x , t , dt );
// s8.do_step( lorenz() , x , t , dt );
}
BOOST_AUTO_TEST_CASE( test_auto_initialization )
{
typedef boost::array< double , 3 > state_type;
state_type x = {{ 10.0 , 10.0 , 10.0 }};
adams_bashforth< 3 , state_type , value_type , state_type , value_type , range_algebra , default_operations ,
initially_resizer , rk4_decorator< state_type > > adams;
adams.initializing_stepper().do_count = 0;
adams.do_step( lorenz() , x , 0.0 , x , 0.1 );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 1 ) );
adams.do_step( lorenz() , x , 0.0 , x , 0.1 );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) );
adams.do_step( lorenz() , x , 0.0 , x , 0.1 );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) );
adams.do_step( lorenz() , x , 0.0 , x , 0.1 );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) );
adams.reset();
adams.do_step( lorenz() , x , 0.0 , x , 0.1 );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 3 ) );
adams.do_step( lorenz() , x , 0.0 , x , 0.1 );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 4 ) );
}
BOOST_AUTO_TEST_CASE( test_manual_initialization )
{
typedef boost::array< double , 3 > state_type;
state_type x = {{ 10.0 , 10.0 , 10.0 }};
adams_bashforth< 3 , state_type , value_type , state_type , value_type , range_algebra , default_operations ,
initially_resizer , rk4_decorator< state_type > > adams;
adams.initializing_stepper().do_count = 0;
double t = 0.0 , dt = 0.1;
adams.initialize( lorenz() , x , t , dt );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) );
adams.do_step( lorenz() , x , 0.0 , x , 0.1 );
BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) );
}
BOOST_AUTO_TEST_SUITE_END()
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