| /* |
| [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 |