Chris@16: /*
Chris@16:  [auto_generated]
Chris@16:  boost/numeric/odeint/algebra/default_operations.hpp
Chris@16: 
Chris@16:  [begin_description]
Chris@16:  Default operations. They work with the default numerical types, like float, double, complex< double> ...
Chris@16:  [end_description]
Chris@16: 
Chris@101:  Copyright 2010-2012 Karsten Ahnert
Chris@101:  Copyright 2010-2013 Mario Mulansky
Chris@16: 
Chris@16:  Distributed under the Boost Software License, Version 1.0.
Chris@16:  (See accompanying file LICENSE_1_0.txt or
Chris@16:  copy at http://www.boost.org/LICENSE_1_0.txt)
Chris@16:  */
Chris@16: 
Chris@16: 
Chris@16: #ifndef BOOST_NUMERIC_ODEINT_ALGEBRA_DEFAULT_OPERATIONS_HPP_INCLUDED
Chris@16: #define BOOST_NUMERIC_ODEINT_ALGEBRA_DEFAULT_OPERATIONS_HPP_INCLUDED
Chris@16: 
Chris@16: #include <algorithm>
Chris@16: 
Chris@16: #include <boost/config.hpp>
Chris@16: #include <boost/array.hpp>
Chris@16: 
Chris@16: #include <boost/numeric/odeint/util/unit_helper.hpp>
Chris@16: 
Chris@16: 
Chris@16: namespace boost {
Chris@16: namespace numeric {
Chris@16: namespace odeint {
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16: /*
Chris@16:  * Notes:
Chris@16:  *
Chris@16:  * * the results structs are needed in order to work with fusion_algebra
Chris@16:  */
Chris@16: struct default_operations
Chris@16: {
Chris@16: 
Chris@16:     template< class Fac1 = double >
Chris@16:     struct scale
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16: 
Chris@16:         scale( Fac1 alpha1 ) : m_alpha1( alpha1 ) { }
Chris@16: 
Chris@16:         template< class T1 >
Chris@16:         void operator()( T1 &t1 ) const
Chris@16:         {
Chris@16:             t1 *= m_alpha1;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     template< class Fac1 = double >
Chris@16:     struct scale_sum1
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16: 
Chris@16:         scale_sum1( Fac1 alpha1 ) : m_alpha1( alpha1 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 >
Chris@16:     struct scale_sum2
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16: 
Chris@16:         scale_sum2( Fac1 alpha1 , Fac2 alpha2 ) : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 >
Chris@16:     struct scale_sum3
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16: 
Chris@16:         scale_sum3( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 >
Chris@16:     struct scale_sum4
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16: 
Chris@16:         scale_sum4( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 >
Chris@16:     struct scale_sum5
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16: 
Chris@16:         scale_sum5( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 , Fac5 alpha5 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 >
Chris@16:     struct scale_sum6
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16: 
Chris@16:         scale_sum6( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 , Fac5 alpha5 , Fac6 alpha6 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ){ }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 ,const T7 &t7) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 >
Chris@16:     struct scale_sum7
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16: 
Chris@16:         scale_sum7( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 , class Fac8 = Fac7 >
Chris@16:     struct scale_sum8
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16:         const Fac8 m_alpha8;
Chris@16: 
Chris@16:         scale_sum8( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 , Fac8 alpha8 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) , m_alpha8( alpha8 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 , const T9 &t9 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8 + m_alpha8 * t9;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 , class Fac8 = Fac7 , class Fac9 = Fac8 >
Chris@16:     struct scale_sum9
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16:         const Fac8 m_alpha8;
Chris@16:         const Fac9 m_alpha9;
Chris@16: 
Chris@16:         scale_sum9( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 , Fac8 alpha8 , Fac9 alpha9 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) , m_alpha8( alpha8 ) , m_alpha9( alpha9 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 , const T9 &t9 , const T10 &t10 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8 + m_alpha8 * t9 + m_alpha9 * t10;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 , class Fac8 = Fac7 , class Fac9 = Fac8 , class Fac10 = Fac9 >
Chris@16:     struct scale_sum10
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16:         const Fac8 m_alpha8;
Chris@16:         const Fac9 m_alpha9;
Chris@16:         const Fac10 m_alpha10;
Chris@16: 
Chris@16:         scale_sum10( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 , Fac8 alpha8 , Fac9 alpha9 , Fac10 alpha10 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) , m_alpha8( alpha8 ) , m_alpha9( alpha9 ) , m_alpha10( alpha10 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 , const T9 &t9 , const T10 &t10 , const T11 &t11 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8 + m_alpha8 * t9 + m_alpha9 * t10 + m_alpha10 * t11;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 , class Fac8 = Fac7 , class Fac9 = Fac8 , class Fac10 = Fac9 , class Fac11 = Fac10 >
Chris@16:     struct scale_sum11
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16:         const Fac8 m_alpha8;
Chris@16:         const Fac9 m_alpha9;
Chris@16:         const Fac10 m_alpha10;
Chris@16:         const Fac11 m_alpha11;
Chris@16: 
Chris@16:         scale_sum11( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 , Fac8 alpha8 , Fac9 alpha9 ,
Chris@16:                 Fac10 alpha10 , Fac11 alpha11 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) , m_alpha8( alpha8 ) , m_alpha9( alpha9 ) , m_alpha10( alpha10 ) , m_alpha11( alpha11 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 , const T9 &t9 , const T10 &t10 , const T11 &t11 , const T12 &t12 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8 + m_alpha8 * t9 + m_alpha9 * t10 + m_alpha10 * t11 + m_alpha11 * t12;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 , class Fac8 = Fac7 , class Fac9 = Fac8 , class Fac10 = Fac9 , class Fac11 = Fac10 , class Fac12 = Fac11 >
Chris@16:     struct scale_sum12
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16:         const Fac8 m_alpha8;
Chris@16:         const Fac9 m_alpha9;
Chris@16:         const Fac10 m_alpha10;
Chris@16:         const Fac11 m_alpha11;
Chris@16:         const Fac12 m_alpha12;
Chris@16: 
Chris@16:         scale_sum12( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 , Fac8 alpha8 , Fac9 alpha9 ,
Chris@16:                 Fac10 alpha10 , Fac11 alpha11 , Fac12 alpha12 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) , m_alpha8( alpha8 ) , m_alpha9( alpha9 ) , m_alpha10( alpha10 ) , m_alpha11( alpha11 ) , m_alpha12( alpha12 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 , const T9 &t9 , const T10 &t10 , const T11 &t11 , const T12 &t12 , const T13 &t13 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8 + m_alpha8 * t9 + m_alpha9 * t10 + m_alpha10 * t11 + m_alpha11 * t12 + m_alpha12 * t13;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 , class Fac8 = Fac7 , class Fac9 = Fac8 , class Fac10 = Fac9 , class Fac11 = Fac10 , class Fac12 = Fac11 , class Fac13 = Fac12 >
Chris@16:     struct scale_sum13
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16:         const Fac8 m_alpha8;
Chris@16:         const Fac9 m_alpha9;
Chris@16:         const Fac10 m_alpha10;
Chris@16:         const Fac11 m_alpha11;
Chris@16:         const Fac12 m_alpha12;
Chris@16:         const Fac13 m_alpha13;
Chris@16: 
Chris@16:         scale_sum13( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 , Fac8 alpha8 , Fac9 alpha9 ,
Chris@16:                 Fac10 alpha10 , Fac11 alpha11 , Fac12 alpha12 , Fac13 alpha13 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) , m_alpha8( alpha8 ) , m_alpha9( alpha9 ) , m_alpha10( alpha10 ) , m_alpha11( alpha11 ) , m_alpha12( alpha12 ) , m_alpha13( alpha13 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 , const T9 &t9 , const T10 &t10 , const T11 &t11 , const T12 &t12 , const T13 &t13 , const T14 &t14 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8 + m_alpha8 * t9 + m_alpha9 * t10 + m_alpha10 * t11 + m_alpha11 * t12 + m_alpha12 * t13 + m_alpha13 * t14;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 , class Fac3 = Fac2 , class Fac4 = Fac3 , class Fac5 = Fac4 , class Fac6 = Fac5 , class Fac7 = Fac6 , class Fac8 = Fac7 , class Fac9 = Fac8 , class Fac10 = Fac9 , class Fac11 = Fac10 , class Fac12 = Fac11 , class Fac13 = Fac12 , class Fac14 = Fac13 >
Chris@16:     struct scale_sum14
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16:         const Fac3 m_alpha3;
Chris@16:         const Fac4 m_alpha4;
Chris@16:         const Fac5 m_alpha5;
Chris@16:         const Fac6 m_alpha6;
Chris@16:         const Fac7 m_alpha7;
Chris@16:         const Fac8 m_alpha8;
Chris@16:         const Fac9 m_alpha9;
Chris@16:         const Fac10 m_alpha10;
Chris@16:         const Fac11 m_alpha11;
Chris@16:         const Fac12 m_alpha12;
Chris@16:         const Fac13 m_alpha13;
Chris@16:         const Fac14 m_alpha14;
Chris@16: 
Chris@16:         scale_sum14( Fac1 alpha1 , Fac2 alpha2 , Fac3 alpha3 , Fac4 alpha4 ,
Chris@16:                 Fac5 alpha5 , Fac6 alpha6 , Fac7 alpha7 , Fac8 alpha8 , Fac9 alpha9 ,
Chris@16:                 Fac10 alpha10 , Fac11 alpha11 , Fac12 alpha12 , Fac13 alpha13 , Fac14 alpha14 )
Chris@16:         : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) , m_alpha3( alpha3 ) , m_alpha4( alpha4 ) , m_alpha5( alpha5 ) , m_alpha6( alpha6 ) , m_alpha7( alpha7 ) , m_alpha8( alpha8 ) , m_alpha9( alpha9 ) , m_alpha10( alpha10 ) , m_alpha11( alpha11 ) , m_alpha12( alpha12 ) , m_alpha13( alpha13 ) , m_alpha14( alpha14 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 , class T4 , class T5 , class T6 , class T7 , class T8 , class T9 , class T10 , class T11 , class T12 , class T13 , class T14 , class T15 >
Chris@16:         void operator()( T1 &t1 , const T2 &t2 , const T3 &t3 , const T4 &t4 , const T5 &t5 , const T6 &t6 , const T7 &t7 , const T8 &t8 , const T9 &t9 , const T10 &t10 , const T11 &t11 , const T12 &t12 , const T13 &t13 , const T14 &t14 , const T15 &t15 ) const
Chris@16:         {
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3 + m_alpha3 * t4 + m_alpha4 * t5 + m_alpha5 * t6 + m_alpha6 * t7 + m_alpha7 * t8 + m_alpha8 * t9 + m_alpha9 * t10 + m_alpha10 * t11 + m_alpha11 * t12 + m_alpha12 * t13 + m_alpha13 * t14 + m_alpha14 * t15;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     template< class Fac1 = double , class Fac2 = Fac1 >
Chris@16:     struct scale_sum_swap2
Chris@16:     {
Chris@16:         const Fac1 m_alpha1;
Chris@16:         const Fac2 m_alpha2;
Chris@16: 
Chris@16:         scale_sum_swap2( Fac1 alpha1 , Fac2 alpha2 ) : m_alpha1( alpha1 ) , m_alpha2( alpha2 ) { }
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 >
Chris@16:         void operator()( T1 &t1 , T2 &t2 , const T3 &t3) const
Chris@16:         {
Chris@16:             const T1 tmp( t1 );
Chris@16:             t1 = m_alpha1 * t2 + m_alpha2 * t3;
Chris@16:             t2 = tmp;
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16:     /*
Chris@16:      * for usage in for_each2
Chris@16:      *
Chris@16:      * Works with boost::units by eliminating the unit
Chris@16:      */
Chris@16:     template< class Fac1 = double >
Chris@16:     struct rel_error
Chris@16:     {
Chris@16:         const Fac1 m_eps_abs , m_eps_rel , m_a_x , m_a_dxdt;
Chris@16: 
Chris@16:         rel_error( Fac1 eps_abs , Fac1 eps_rel , Fac1 a_x , Fac1 a_dxdt )
Chris@16:         : m_eps_abs( eps_abs ) , m_eps_rel( eps_rel ) , m_a_x( a_x ) , m_a_dxdt( a_dxdt ) { }
Chris@16: 
Chris@16: 
Chris@16:         template< class T1 , class T2 , class T3 >
Chris@16:         void operator()( T3 &t3 , const T1 &t1 , const T2 &t2 ) const
Chris@16:         {
Chris@16:             using std::abs;
Chris@16:             set_unit_value( t3 , abs( get_unit_value( t3 ) ) / ( m_eps_abs + m_eps_rel * ( m_a_x * abs( get_unit_value( t1 ) ) + m_a_dxdt * abs( get_unit_value( t2 ) ) ) ) );
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     /*
Chris@16:      * for usage in for_each3
Chris@16:      *
Chris@16:      * used in the controller for the rosenbrock4 method
Chris@16:      *
Chris@16:      * Works with boost::units by eliminating the unit
Chris@16:      */
Chris@16:     template< class Fac1 = double >
Chris@16:     struct default_rel_error
Chris@16:     {
Chris@16:         const Fac1 m_eps_abs , m_eps_rel ;
Chris@16: 
Chris@16:         default_rel_error( Fac1 eps_abs , Fac1 eps_rel )
Chris@16:         : m_eps_abs( eps_abs ) , m_eps_rel( eps_rel ) { }
Chris@16: 
Chris@16: 
Chris@16:         /*
Chris@16:          * xerr = xerr / ( eps_abs + eps_rel * max( x , x_old ) )
Chris@16:          */
Chris@16:         template< class T1 , class T2 , class T3 >
Chris@16:         void operator()( T3 &t3 , const T1 &t1 , const T2 &t2 ) const
Chris@16:         {
Chris@16:             BOOST_USING_STD_MAX();
Chris@16:             using std::abs;
Chris@16:             Fac1 x1 = abs( get_unit_value( t1 ) ) , x2 = abs( get_unit_value( t2 ) );
Chris@16:             set_unit_value( t3 , abs( get_unit_value( t3 ) ) / ( m_eps_abs + m_eps_rel * max BOOST_PREVENT_MACRO_SUBSTITUTION ( x1 , x2 ) ) );
Chris@16:         }
Chris@16: 
Chris@16:         typedef void result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16:     /*
Chris@16:      * for usage in reduce
Chris@16:      */
Chris@16: 
Chris@16:     template< class Value >
Chris@16:     struct maximum
Chris@16:     {
Chris@16:         template< class Fac1 , class Fac2 >
Chris@16:         Value operator()( Fac1 t1 , const Fac2 t2 ) const
Chris@16:         {
Chris@16:             using std::abs;
Chris@16:             Value a1 = abs( get_unit_value( t1 ) ) , a2 = abs( get_unit_value( t2 ) );
Chris@16:             return ( a1 < a2 ) ? a2 : a1 ;
Chris@16:         }
Chris@16: 
Chris@16:         typedef Value result_type;
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double >
Chris@16:     struct rel_error_max
Chris@16:     {
Chris@16:         const Fac1 m_eps_abs , m_eps_rel;
Chris@16: 
Chris@16:         rel_error_max( Fac1 eps_abs , Fac1 eps_rel )
Chris@16:         : m_eps_abs( eps_abs ) , m_eps_rel( eps_rel )
Chris@16:         { }
Chris@16: 
Chris@16:         template< class Res , class T1 , class T2 , class T3 >
Chris@16:         Res operator()( Res r , const T1 &x_old , const T2 &x , const T3 &x_err )
Chris@16:         {
Chris@16:             BOOST_USING_STD_MAX();
Chris@16:             using std::abs;
Chris@16:             Res tmp = abs( get_unit_value( x_err ) ) / ( m_eps_abs + m_eps_rel * max BOOST_PREVENT_MACRO_SUBSTITUTION ( abs( x_old ) , abs( x ) ) );
Chris@16:             return max BOOST_PREVENT_MACRO_SUBSTITUTION ( r , tmp );
Chris@16:         }
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double >
Chris@16:     struct rel_error_max2
Chris@16:     {
Chris@16:         const Fac1 m_eps_abs , m_eps_rel , m_a_x , m_a_dxdt;
Chris@16: 
Chris@16:         rel_error_max2( Fac1 eps_abs , Fac1 eps_rel , Fac1 a_x , Fac1 a_dxdt )
Chris@16:         : m_eps_abs( eps_abs ) , m_eps_rel( eps_rel ) , m_a_x( a_x ) , m_a_dxdt( a_dxdt )
Chris@16:         { }
Chris@16: 
Chris@16:         template< class Res , class T1 , class T2 , class T3 , class T4 >
Chris@16:         Res operator()( Res r , const T1 &x_old , const T2 &x , const T3 &dxdt_old , const T4 &x_err )
Chris@16:         {
Chris@16:             BOOST_USING_STD_MAX();
Chris@16:             using std::abs;
Chris@16:             Res tmp = abs( get_unit_value( x_err ) ) /
Chris@16:                     ( m_eps_abs + m_eps_rel * ( m_a_x * abs( get_unit_value( x_old ) ) + m_a_dxdt * abs( get_unit_value( dxdt_old ) ) ) );
Chris@16:             return max BOOST_PREVENT_MACRO_SUBSTITUTION ( r , tmp );
Chris@16:         }
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double >
Chris@16:     struct rel_error_l2
Chris@16:     {
Chris@16:         const Fac1 m_eps_abs , m_eps_rel;
Chris@16: 
Chris@16:         rel_error_l2( Fac1 eps_abs , Fac1 eps_rel )
Chris@16:         : m_eps_abs( eps_abs ) , m_eps_rel( eps_rel )
Chris@16:         { }
Chris@16: 
Chris@16:         template< class Res , class T1 , class T2 , class T3 >
Chris@16:         Res operator()( Res r , const T1 &x_old , const T2 &x , const T3 &x_err )
Chris@16:         {
Chris@16:             BOOST_USING_STD_MAX();
Chris@16:             using std::abs;
Chris@16:             Res tmp = abs( get_unit_value( x_err ) ) / ( m_eps_abs + m_eps_rel * max BOOST_PREVENT_MACRO_SUBSTITUTION ( abs( x_old ) , abs( x ) ) );
Chris@16:             return r + tmp * tmp;
Chris@16:         }
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16:     template< class Fac1 = double >
Chris@16:     struct rel_error_l2_2
Chris@16:     {
Chris@16:         const Fac1 m_eps_abs , m_eps_rel , m_a_x , m_a_dxdt;
Chris@16: 
Chris@16:         rel_error_l2_2( Fac1 eps_abs , Fac1 eps_rel , Fac1 a_x , Fac1 a_dxdt )
Chris@16:         : m_eps_abs( eps_abs ) , m_eps_rel( eps_rel ) , m_a_x( a_x ) , m_a_dxdt( a_dxdt )
Chris@16:         { }
Chris@16: 
Chris@16:         template< class Res , class T1 , class T2 , class T3 , class T4 >
Chris@16:         Res operator()( Res r , const T1 &x_old , const T2 &x , const T3 &dxdt_old , const T4 &x_err )
Chris@16:         {
Chris@16:             using std::abs;
Chris@16:             Res tmp = abs( get_unit_value( x_err ) ) /
Chris@16:                     ( m_eps_abs + m_eps_rel * ( m_a_x * abs( get_unit_value( x_old ) ) + m_a_dxdt * abs( get_unit_value( dxdt_old ) ) ) );
Chris@16:             return r + tmp * tmp;
Chris@16:         }
Chris@16:     };
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16: 
Chris@16: };
Chris@16: 
Chris@16: 
Chris@16: } // odeint
Chris@16: } // numeric
Chris@16: } // boost
Chris@16: 
Chris@16: 
Chris@16: #endif // BOOST_NUMERIC_ODEINT_ALGEBRA_DEFAULT_OPERATIONS_HPP_INCLUDED