/*
 [auto_generated]
 libs/numeric/odeint/test/trivial_state.cpp

 [begin_description]
 This file tests if the steppers can integrate the trivial state consisting of a single double.
 [end_description]

 Copyright 2012-2013 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)
 */

#include <limits>

// disable checked iterator warning for msvc
#include <boost/config.hpp>
#ifdef BOOST_MSVC
    #pragma warning(disable:4996)
#endif

#define BOOST_TEST_MODULE odeint_trivial_state

#include <boost/test/unit_test.hpp>

#include <boost/mpl/vector.hpp>
#include <boost/mpl/int.hpp>
#include <boost/mpl/at.hpp>

#include <boost/numeric/odeint/stepper/euler.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
#include <boost/numeric/odeint/stepper/generation.hpp>
#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp>
#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp>

using namespace boost::unit_test;
using namespace boost::numeric::odeint;

namespace mpl = boost::mpl;

struct constant_system
{
    template< typename T >
    void operator()( const T &x , T &dxdt , const T t ) const
    { dxdt = 1.0; }
};


BOOST_AUTO_TEST_SUITE( trivial_state_test )

/* test different do_step methods of simple steppers */

typedef mpl::vector<
        euler< double > ,
        runge_kutta4< double > ,
        // with floats all four parameters have to be given explicitly to override default double
        euler< float , float , float , float > ,
        runge_kutta4< float , float , float , float >
        >::type stepper_types;


BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step , T, stepper_types )
{
    typedef T stepper_type;
    stepper_type stepper;
    typename stepper_type::state_type x = 0.0;
    typename stepper_type::time_type t = 0.0;
    typename stepper_type::time_type dt = 0.1;
    stepper.do_step( constant_system() , x , t , dt );
    BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );

    // this overload is not allowed if the types of dxdt and dt are the same
    // deriv_type dxdt = 1.0;
    // stepper.do_step( constant_system , x , dxdt , t , dt );

    typename stepper_type::state_type x_out;
    stepper.do_step( constant_system() , x , t , x_out , dt );
    BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
    BOOST_CHECK_CLOSE( x_out , 0.2 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
}


/* test integrate_adaptive with controlled steppers */

typedef mpl::vector<
    runge_kutta_cash_karp54< double > ,
    runge_kutta_dopri5< double > ,
    // with floats all four parameters have to be given explicitly to override default double
    runge_kutta_cash_karp54< float , float , float , float > ,
    runge_kutta_dopri5< float , float , float , float >
    > error_stepper_types;

BOOST_AUTO_TEST_CASE_TEMPLATE( test_integrate , T , error_stepper_types )
{
    typedef T stepper_type;
    typename stepper_type::state_type x = 0.0;
    typename stepper_type::time_type t0 = 0.0;
    typename stepper_type::time_type t1 = 1.0;
    typename stepper_type::time_type dt = 0.1;
    integrate_adaptive( make_controlled< stepper_type >( 1e-6 , 1e-6 ) , constant_system() , x , t0 , t1 , dt );
    BOOST_CHECK_CLOSE( x , 1.0 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() );
}

BOOST_AUTO_TEST_SUITE_END()