Binding member functions

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### Binding member functions

Binding member functions to a function objects suitable for odeint system function is not easy, at least in C++03. The usual way of using __boost_bind does not work because of the forwarding problem. odeint provides two `do_step` method which only differ in the const specifiers of the arguments and __boost_bind binders only provide the specializations up to two argument which is not enough for odeint.

But one can easily implement the according binders themself:

    template< class Obj , class Mem >
    class ode_wrapper
    {
        Obj m_obj;
        Mem m_mem;

    public:

        ode_wrapper( Obj obj , Mem mem ) : m_obj( obj ) , m_mem( mem ) { }

        template< class State , class Deriv , class Time >
        void operator()( const State &x , Deriv &dxdt , Time t )
        {
            (m_obj.*m_mem)( x , dxdt , t );
        }
    };

    template< class Obj , class Mem >
    ode_wrapper< Obj , Mem > make_ode_wrapper( Obj obj , Mem mem )
    {
        return ode_wrapper< Obj , Mem >( obj , mem );
    }

One can use this binder as follows

    struct lorenz
    {
        void ode( const state_type &x , state_type &dxdt , double t ) const
        {
            dxdt[0] = 10.0 * ( x[1] - x[0] );
            dxdt[1] = 28.0 * x[0] - x[1] - x[0] * x[2];
            dxdt[2] = -8.0 / 3.0 * x[2] + x[0] * x[1];
        }
    };

    int main( int argc , char *argv[] )
    {
        using namespace boost::numeric::odeint;
        state_type x = {{ 10.0 , 10.0 , 10.0 }};
        integrate_const( runge_kutta4< state_type >() , make_ode_wrapper( lorenz() , &lorenz::ode ) ,
                         x , 0.0 , 10.0 , 0.01 );
        return 0;
    }

#### Binding member functions in C++11

In C++11 one can use `std::bind` and one does not need to implement the bind themself:

    namespace pl = std::placeholders;

    state_type x = {{ 10.0 , 10.0 , 10.0 }};
    integrate_const( runge_kutta4< state_type >() ,
                     std::bind( &lorenz::ode , lorenz() , pl::_1 , pl::_2 , pl::_3 ) ,
                     x , 0.0 , 10.0 , 0.01  );