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/*
[auto_generated]
libs/numeric/odeint/test/generic_error_stepper.cpp
[begin_description]
This file tests the generic error stepper.
[end_description]
Copyright 2011 Mario Mulansky
Copyright 2012 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)
*/
// disable checked iterator warning for msvc
#include <boost/config.hpp>
#ifdef BOOST_MSVC
#pragma warning(disable:4996)
#endif
#define BOOST_TEST_MODULE odeint_generic_error_stepper
#include <iostream>
#include <utility>
#include <boost/test/unit_test.hpp>
#include <boost/numeric/odeint/stepper/explicit_error_generic_rk.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.hpp>
#include <boost/array.hpp>
using namespace boost::unit_test;
using namespace boost::numeric::odeint;
namespace fusion = boost::fusion;
typedef double value_type;
typedef boost::array< value_type , 2 > state_type;
void sys( const state_type &x , state_type &dxdt , const value_type &t )
{
dxdt[ 0 ] = x[ 0 ] + 2 * x[ 1 ];
dxdt[ 1 ] = x[ 1 ];
}
typedef explicit_error_generic_rk< 6 , 5 , 4 , 5 , state_type> error_rk_generic_type;
const boost::array< double , 1 > a1 = {{ 0.2 }};
const boost::array< double , 2 > a2 = {{ 3.0/40.0 , 9.0/40 }};
const boost::array< double , 3 > a3 = {{ 0.3 , -0.9 , 1.2 }};
const boost::array< double , 4 > a4 = {{ -11.0/54.0 , 2.5 , -70.0/27.0 , 35.0/27.0 }};
const boost::array< double , 5 > a5 = {{ 1631.0/55296.0 , 175.0/512.0 , 575.0/13824.0 , 44275.0/110592.0 , 253.0/4096.0 }};
const error_rk_generic_type::coef_a_type a = fusion::make_vector( a1 , a2 , a3 , a4 , a5 );
const error_rk_generic_type::coef_b_type b = {{ 37.0/378.0 , 0.0 , 250.0/621.0 , 125.0/594.0 , 0.0 , 512.0/1771.0 }};
const error_rk_generic_type::coef_b_type b2 = {{ b[0]-2825.0/27648.0 , b[1]-0.0 , b[2]-18575.0/48384.0 , b[3]-13525.0/55296.0 , b[4]-277.0/14336.0 , b[5]-0.25 }};
const error_rk_generic_type::coef_c_type c = {{ 0.0 , 0.2 , 0.3 , 0.6 , 1.0 , 7.0/8 }};
typedef runge_kutta_cash_karp54< state_type > error_rk54_ck_generic_type;
typedef runge_kutta_cash_karp54_classic< state_type > rk54_ck_type;
BOOST_AUTO_TEST_SUITE( generic_error_stepper_test )
BOOST_AUTO_TEST_CASE( test_generic_error_stepper )
{
//simultaneously test copying
error_rk_generic_type rk_generic_( a , b , b2 , c );
error_rk_generic_type rk_generic = rk_generic_;
error_rk54_ck_generic_type rk54_ck_generic_;
error_rk54_ck_generic_type rk54_ck_generic = rk54_ck_generic_;
//std::cout << stepper;
rk54_ck_type rk54_ck_;
rk54_ck_type rk54_ck = rk54_ck_;
typedef error_rk_generic_type::state_type state_type;
typedef error_rk_generic_type::value_type stepper_value_type;
typedef error_rk_generic_type::deriv_type deriv_type;
typedef error_rk_generic_type::time_type time_type;
state_type x = {{ 0.0 , 1.0 }};
state_type y = x;
state_type z = x;
state_type x_err , y_err , z_err;
rk_generic.do_step( sys , x , 0.0 , 0.1 , x_err );
rk54_ck_generic.do_step( sys , y , 0.0 , 0.1 , y_err);
rk54_ck.do_step( sys , z , 0.0 , 0.1 , z_err );
BOOST_CHECK_NE( 0.0 , x[0] );
BOOST_CHECK_NE( 1.0 , x[1] );
BOOST_CHECK_NE( 0.0 , x_err[0] );
BOOST_CHECK_NE( 0.0 , x_err[1] );
// compare with analytic solution of above system
BOOST_CHECK_EQUAL( x[0] , y[0] );
BOOST_CHECK_EQUAL( x[1] , y[1] );
BOOST_CHECK_EQUAL( x[0] , z[0] );
BOOST_CHECK_EQUAL( x[1] , z[1] );
}
BOOST_AUTO_TEST_SUITE_END()
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