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boost/numeric/odeint/stepper/detail/adams_bashforth_coefficients.hpp

/*
 [auto_generated]
 boost/numeric/odeint/stepper/detail/adams_bashforth_coefficients.hpp

 [begin_description]
 Definition of the coefficients for the Adams-Bashforth method.
 [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)
 */


#ifndef BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_BASHFORTH_COEFFICIENTS_HPP_INCLUDED
#define BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_BASHFORTH_COEFFICIENTS_HPP_INCLUDED

#include <boost/array.hpp>


namespace boost {
namespace numeric {
namespace odeint {
namespace detail {

template< class Value , size_t Steps >
class adams_bashforth_coefficients ;

template< class Value >
class adams_bashforth_coefficients< Value , 1 > : public boost::array< Value , 1 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 1 >()
      {
        (*this)[0] = static_cast< Value >( 1 );
      }
};


template< class Value >
class adams_bashforth_coefficients< Value , 2 > : public boost::array< Value , 2 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 2 >()
      {
        (*this)[0] = static_cast< Value >( 3 ) / static_cast< Value >( 2 );
        (*this)[1] = -static_cast< Value >( 1 ) / static_cast< Value >( 2 );
      }
};


template< class Value >
class adams_bashforth_coefficients< Value , 3 > : public boost::array< Value , 3 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 3 >()
      {
        (*this)[0] = static_cast< Value >( 23 ) / static_cast< Value >( 12 );
        (*this)[1] = -static_cast< Value >( 4 ) / static_cast< Value >( 3 );
        (*this)[2] = static_cast< Value >( 5 ) / static_cast< Value >( 12 );
      }
};


template< class Value >
class adams_bashforth_coefficients< Value , 4 > : public boost::array< Value , 4 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 4 >()
      {
        (*this)[0] = static_cast< Value >( 55 ) / static_cast< Value >( 24 );
        (*this)[1] = -static_cast< Value >( 59 ) / static_cast< Value >( 24 );
        (*this)[2] = static_cast< Value >( 37 ) / static_cast< Value >( 24 );
        (*this)[3] = -static_cast< Value >( 3 ) / static_cast< Value >( 8 );
      }
};


template< class Value >
class adams_bashforth_coefficients< Value , 5 > : public boost::array< Value , 5 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 5 >()
      {
        (*this)[0] = static_cast< Value >( 1901 ) / static_cast< Value >( 720 );
        (*this)[1] = -static_cast< Value >( 1387 ) / static_cast< Value >( 360 );
        (*this)[2] = static_cast< Value >( 109 ) / static_cast< Value >( 30 );
        (*this)[3] = -static_cast< Value >( 637 ) / static_cast< Value >( 360 );
        (*this)[4] = static_cast< Value >( 251 ) / static_cast< Value >( 720 );
      }
};


template< class Value >
class adams_bashforth_coefficients< Value , 6 > : public boost::array< Value , 6 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 6 >()
      {
        (*this)[0] = static_cast< Value >( 4277 ) / static_cast< Value >( 1440 );
        (*this)[1] = -static_cast< Value >( 2641 ) / static_cast< Value >( 480 );
        (*this)[2] = static_cast< Value >( 4991 ) / static_cast< Value >( 720 );
        (*this)[3] = -static_cast< Value >( 3649 ) / static_cast< Value >( 720 );
        (*this)[4] = static_cast< Value >( 959 ) / static_cast< Value >( 480 );
        (*this)[5] = -static_cast< Value >( 95 ) / static_cast< Value >( 288 );
      }
};


template< class Value >
class adams_bashforth_coefficients< Value , 7 > : public boost::array< Value , 7 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 7 >()
      {
        (*this)[0] = static_cast< Value >( 198721 ) / static_cast< Value >( 60480 );
        (*this)[1] = -static_cast< Value >( 18637 ) / static_cast< Value >( 2520 );
        (*this)[2] = static_cast< Value >( 235183 ) / static_cast< Value >( 20160 );
        (*this)[3] = -static_cast< Value >( 10754 ) / static_cast< Value >( 945 );
        (*this)[4] = static_cast< Value >( 135713 ) / static_cast< Value >( 20160 );
        (*this)[5] = -static_cast< Value >( 5603 ) / static_cast< Value >( 2520 );
        (*this)[6] = static_cast< Value >( 19087 ) / static_cast< Value >( 60480 );
      }
};


template< class Value >
class adams_bashforth_coefficients< Value , 8 > : public boost::array< Value , 8 >
{
public:
    adams_bashforth_coefficients( void )
    : boost::array< Value , 8 >()
      {
        (*this)[0] = static_cast< Value >( 16083 ) / static_cast< Value >( 4480 );
        (*this)[1] = -static_cast< Value >( 1152169 ) / static_cast< Value >( 120960 );
        (*this)[2] = static_cast< Value >( 242653 ) / static_cast< Value >( 13440 );
        (*this)[3] = -static_cast< Value >( 296053 ) / static_cast< Value >( 13440 );
        (*this)[4] = static_cast< Value >( 2102243 ) / static_cast< Value >( 120960 );
        (*this)[5] = -static_cast< Value >( 115747 ) / static_cast< Value >( 13440 );
        (*this)[6] = static_cast< Value >( 32863 ) / static_cast< Value >( 13440 );
        (*this)[7] = -static_cast< Value >( 5257 ) / static_cast< Value >( 17280 );
      }
};







} // detail
} // odeint
} // numeric
} // boost



#endif // BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_BASHFORTH_COEFFICIENTS_HPP_INCLUDED