ceph/src/boost/libs/numeric/odeint/include/boost/numeric/odeint/stepper/detail/adams_bashforth_coefficients.hpp

   1 /*
   2  [auto_generated]
   3  boost/numeric/odeint/stepper/detail/adams_bashforth_coefficients.hpp
   4
   5  [begin_description]
   6  Definition of the coefficients for the Adams-Bashforth method.
   7  [end_description]
   8
   9  Copyright 2011-2012 Karsten Ahnert
  10  Copyright 2011-2012 Mario Mulansky
  11
  12  Distributed under the Boost Software License, Version 1.0.
  13  (See accompanying file LICENSE_1_0.txt or
  14  copy at http://www.boost.org/LICENSE_1_0.txt)
  15  */
  16
  17
  18 #ifndef BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_BASHFORTH_COEFFICIENTS_HPP_INCLUDED
  19 #define BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_BASHFORTH_COEFFICIENTS_HPP_INCLUDED
  20
  21 #include <boost/array.hpp>
  22
  23
  24 namespace boost {
  25 namespace numeric {
  26 namespace odeint {
  27 namespace detail {
  28
  29 template< class Value , size_t Steps >
  30 class adams_bashforth_coefficients ;
  31
  32 template< class Value >
  33 class adams_bashforth_coefficients< Value , 1 > : public boost::array< Value , 1 >
  34 {
  35 public:
  36     adams_bashforth_coefficients( void )
  37     : boost::array< Value , 1 >()
  38       {
  39         (*this)[0] = static_cast< Value >( 1 );
  40       }
  41 };
  42
  43
  44 template< class Value >
  45 class adams_bashforth_coefficients< Value , 2 > : public boost::array< Value , 2 >
  46 {
  47 public:
  48     adams_bashforth_coefficients( void )
  49     : boost::array< Value , 2 >()
  50       {
  51         (*this)[0] = static_cast< Value >( 3 ) / static_cast< Value >( 2 );
  52         (*this)[1] = -static_cast< Value >( 1 ) / static_cast< Value >( 2 );
  53       }
  54 };
  55
  56
  57 template< class Value >
  58 class adams_bashforth_coefficients< Value , 3 > : public boost::array< Value , 3 >
  59 {
  60 public:
  61     adams_bashforth_coefficients( void )
  62     : boost::array< Value , 3 >()
  63       {
  64         (*this)[0] = static_cast< Value >( 23 ) / static_cast< Value >( 12 );
  65         (*this)[1] = -static_cast< Value >( 4 ) / static_cast< Value >( 3 );
  66         (*this)[2] = static_cast< Value >( 5 ) / static_cast< Value >( 12 );
  67       }
  68 };
  69
  70
  71 template< class Value >
  72 class adams_bashforth_coefficients< Value , 4 > : public boost::array< Value , 4 >
  73 {
  74 public:
  75     adams_bashforth_coefficients( void )
  76     : boost::array< Value , 4 >()
  77       {
  78         (*this)[0] = static_cast< Value >( 55 ) / static_cast< Value >( 24 );
  79         (*this)[1] = -static_cast< Value >( 59 ) / static_cast< Value >( 24 );
  80         (*this)[2] = static_cast< Value >( 37 ) / static_cast< Value >( 24 );
  81         (*this)[3] = -static_cast< Value >( 3 ) / static_cast< Value >( 8 );
  82       }
  83 };
  84
  85
  86 template< class Value >
  87 class adams_bashforth_coefficients< Value , 5 > : public boost::array< Value , 5 >
  88 {
  89 public:
  90     adams_bashforth_coefficients( void )
  91     : boost::array< Value , 5 >()
  92       {
  93         (*this)[0] = static_cast< Value >( 1901 ) / static_cast< Value >( 720 );
  94         (*this)[1] = -static_cast< Value >( 1387 ) / static_cast< Value >( 360 );
  95         (*this)[2] = static_cast< Value >( 109 ) / static_cast< Value >( 30 );
  96         (*this)[3] = -static_cast< Value >( 637 ) / static_cast< Value >( 360 );
  97         (*this)[4] = static_cast< Value >( 251 ) / static_cast< Value >( 720 );
  98       }
  99 };
 100
 101
 102 template< class Value >
 103 class adams_bashforth_coefficients< Value , 6 > : public boost::array< Value , 6 >
 104 {
 105 public:
 106     adams_bashforth_coefficients( void )
 107     : boost::array< Value , 6 >()
 108       {
 109         (*this)[0] = static_cast< Value >( 4277 ) / static_cast< Value >( 1440 );
 110         (*this)[1] = -static_cast< Value >( 2641 ) / static_cast< Value >( 480 );
 111         (*this)[2] = static_cast< Value >( 4991 ) / static_cast< Value >( 720 );
 112         (*this)[3] = -static_cast< Value >( 3649 ) / static_cast< Value >( 720 );
 113         (*this)[4] = static_cast< Value >( 959 ) / static_cast< Value >( 480 );
 114         (*this)[5] = -static_cast< Value >( 95 ) / static_cast< Value >( 288 );
 115       }
 116 };
 117
 118
 119 template< class Value >
 120 class adams_bashforth_coefficients< Value , 7 > : public boost::array< Value , 7 >
 121 {
 122 public:
 123     adams_bashforth_coefficients( void )
 124     : boost::array< Value , 7 >()
 125       {
 126         (*this)[0] = static_cast< Value >( 198721 ) / static_cast< Value >( 60480 );
 127         (*this)[1] = -static_cast< Value >( 18637 ) / static_cast< Value >( 2520 );
 128         (*this)[2] = static_cast< Value >( 235183 ) / static_cast< Value >( 20160 );
 129         (*this)[3] = -static_cast< Value >( 10754 ) / static_cast< Value >( 945 );
 130         (*this)[4] = static_cast< Value >( 135713 ) / static_cast< Value >( 20160 );
 131         (*this)[5] = -static_cast< Value >( 5603 ) / static_cast< Value >( 2520 );
 132         (*this)[6] = static_cast< Value >( 19087 ) / static_cast< Value >( 60480 );
 133       }
 134 };
 135
 136
 137 template< class Value >
 138 class adams_bashforth_coefficients< Value , 8 > : public boost::array< Value , 8 >
 139 {
 140 public:
 141     adams_bashforth_coefficients( void )
 142     : boost::array< Value , 8 >()
 143       {
 144         (*this)[0] = static_cast< Value >( 16083 ) / static_cast< Value >( 4480 );
 145         (*this)[1] = -static_cast< Value >( 1152169 ) / static_cast< Value >( 120960 );
 146         (*this)[2] = static_cast< Value >( 242653 ) / static_cast< Value >( 13440 );
 147         (*this)[3] = -static_cast< Value >( 296053 ) / static_cast< Value >( 13440 );
 148         (*this)[4] = static_cast< Value >( 2102243 ) / static_cast< Value >( 120960 );
 149         (*this)[5] = -static_cast< Value >( 115747 ) / static_cast< Value >( 13440 );
 150         (*this)[6] = static_cast< Value >( 32863 ) / static_cast< Value >( 13440 );
 151         (*this)[7] = -static_cast< Value >( 5257 ) / static_cast< Value >( 17280 );
 152       }
 153 };
 154
 155
 156
 157
 158
 159
 160
 161 } // detail
 162 } // odeint
 163 } // numeric
 164 } // boost
 165
 166
 167
 168 #endif // BOOST_NUMERIC_ODEINT_STEPPER_DETAIL_ADAMS_BASHFORTH_COEFFICIENTS_HPP_INCLUDED