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/*
[auto_generated]
libs/numeric/odeint/test/integrate_times.cpp
[begin_description]
This file tests the integrate_times function and its variants.
[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)
*/
#define BOOST_TEST_MODULE odeint_integrate_times
#include <boost/test/unit_test.hpp>
#include <utility>
#include <iostream>
#include <vector>
#include <boost/ref.hpp>
#include <boost/iterator/counting_iterator.hpp>
#ifndef ODEINT_INTEGRATE_ITERATOR
#include <boost/numeric/odeint/integrate/integrate_times.hpp>
#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp>
#else
#include <boost/numeric/odeint/iterator/integrate/integrate_times.hpp>
#include <boost/numeric/odeint/iterator/integrate/integrate_adaptive.hpp>
#endif
#include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp>
#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp>
#include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp>
#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp>
using namespace boost::unit_test;
using namespace boost::numeric::odeint;
typedef double value_type;
typedef std::vector< value_type > state_type;
void lorenz( const state_type &x , state_type &dxdt , const value_type t )
{
BOOST_CHECK( t >= 0.0 );
const value_type sigma( 10.0 );
const value_type R( 28.0 );
const value_type b( value_type( 8.0 ) / value_type( 3.0 ) );
dxdt[0] = sigma * ( x[1] - x[0] );
dxdt[1] = R * x[0] - x[1] - x[0] * x[2];
dxdt[2] = -b * x[2] + x[0] * x[1];
}
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 );
}
};
BOOST_AUTO_TEST_SUITE( integrate_times_test )
BOOST_AUTO_TEST_CASE( test_integrate_times )
{
state_type x( 3 );
x[0] = x[1] = x[2] = 10.0;
const value_type dt = 0.03;
std::vector< double > times;
std::cout << "test rk4 stepper" << std::endl;
// simple stepper
integrate_times( runge_kutta4< state_type >() , lorenz , x , boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
times.clear();
std::cout << "test dopri5 stepper" << std::endl;
// controlled stepper
integrate_times( controlled_runge_kutta< runge_kutta_dopri5< state_type > >() , lorenz , x ,
boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
times.clear();
std::cout << "test BS stepper" << std::endl;
//another controlled stepper
integrate_times( bulirsch_stoer< state_type >() , lorenz , x ,
boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
times.clear();
std::cout << "test dense_out stepper" << std::endl;
// dense output stepper
integrate_times( dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > >() ,
lorenz , x ,
boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
std::cout << "test BS_do stepper" << std::endl;
integrate_times( bulirsch_stoer_dense_out< state_type >() , lorenz , x ,
boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
}
BOOST_AUTO_TEST_CASE( test_integrate_times_ranges )
{
state_type x( 3 );
x[0] = x[1] = x[2] = 10.0;
const value_type dt = 0.03;
std::vector< double > times;
// simple stepper
integrate_times( runge_kutta4< state_type >() , lorenz , x ,
std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
times.clear();
// controlled stepper
integrate_times( controlled_runge_kutta< runge_kutta_dopri5< state_type > >() , lorenz , x ,
std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
times.clear();
//another controlled stepper
integrate_times( bulirsch_stoer< state_type >() , lorenz , x ,
std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
times.clear();
// dense output stepper
integrate_times( bulirsch_stoer_dense_out< state_type >() , lorenz , x ,
std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) ,
dt , push_back_time( times ) );
for( int i=0 ; i<10 ; ++i )
// check if observer was called at times 0,1,2,...
BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) );
}
BOOST_AUTO_TEST_CASE( test_integrate_times_overshoot )
{
state_type x( 3 );
x[0] = x[1] = x[2] = 10.0;
double dt = -0.1;
std::vector<double> times( 10 );
for( int i=0 ; i<10 ; ++i )
times[i] = 1.0-i*1.0/9.0;
std::cout << "test rk4 stepper" << std::endl;
// simple stepper
std::vector<double> obs_times;
int steps = integrate_times( runge_kutta4< state_type >() , lorenz , x ,
times.begin() , times.end() ,
dt , push_back_time( obs_times ) );
// different behavior for the iterator based integrate implementaton
#ifndef ODEINT_INTEGRATE_ITERATOR
BOOST_CHECK_EQUAL( steps , 18 ); // we really need 18 steps because dt and
// the difference of the observation times
// are so out of sync
#else
// iterator based implementation can only return the number of iteration steps
BOOST_CHECK_EQUAL( steps , 9 );
#endif
for( int i=0 ; i<10 ; ++i )
BOOST_CHECK_EQUAL( times[i] , obs_times[i] );
std::cout << "test rk_ck stepper" << std::endl;
// controlled stepper
obs_times.clear();
integrate_times( controlled_runge_kutta< runge_kutta_cash_karp54< state_type > >() , lorenz , x ,
times.begin() , times.end() ,
dt , push_back_time( obs_times ) );
for( int i=0 ; i<10 ; ++i )
BOOST_CHECK_EQUAL( times[i] , obs_times[i] );
std::cout << "test dopri5 stepper" << std::endl;
// controlled stepper
obs_times.clear();
integrate_times( dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > >() , lorenz , x ,
times.begin() , times.end() ,
dt , push_back_time( obs_times ) );
for( int i=0 ; i<10 ; ++i )
BOOST_CHECK_EQUAL( times[i] , obs_times[i] );
}
BOOST_AUTO_TEST_SUITE_END()
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