179 lines
		
	
	
		
			6.4 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			179 lines
		
	
	
		
			6.4 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | /* | ||
|  |  [auto_generated] | ||
|  |  boost/numeric/odeint/algebra/vector_space_algebra.hpp | ||
|  | 
 | ||
|  |  [begin_description] | ||
|  |  An algebra for types which have vector space semantics, hence types on which the operators +,-,* are well defined. | ||
|  |  [end_description] | ||
|  | 
 | ||
|  |  Copyright 2010-2012 Karsten Ahnert | ||
|  |  Copyright 2010-2013 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_ALGEBRA_VECTOR_SPACE_ALGEBRA_HPP_INCLUDED | ||
|  | #define BOOST_NUMERIC_ODEINT_ALGEBRA_VECTOR_SPACE_ALGEBRA_HPP_INCLUDED | ||
|  | 
 | ||
|  | #include <complex> | ||
|  | 
 | ||
|  | #include <boost/type_traits/remove_reference.hpp> | ||
|  | 
 | ||
|  | 
 | ||
|  | namespace boost { | ||
|  | namespace numeric { | ||
|  | namespace odeint { | ||
|  | 
 | ||
|  | /* | ||
|  |  * This class template has to be overload in order to call vector_space_algebra::norm_inf | ||
|  |  */ | ||
|  | template< class State > struct vector_space_norm_inf; | ||
|  | 
 | ||
|  | /* | ||
|  |  * Example: instantiation for sole doubles and complex | ||
|  |  */ | ||
|  | template<> | ||
|  | struct vector_space_norm_inf< double > | ||
|  | { | ||
|  |     typedef double result_type; | ||
|  |     double operator()( double x ) const | ||
|  |     { | ||
|  |         using std::abs; | ||
|  |         return abs(x); | ||
|  |     } | ||
|  | }; | ||
|  | 
 | ||
|  | template<> | ||
|  | struct vector_space_norm_inf< float > | ||
|  | { | ||
|  |     typedef float result_type; | ||
|  |     result_type operator()( float x ) const | ||
|  |     { | ||
|  |         using std::abs; | ||
|  |         return abs(x); | ||
|  |     } | ||
|  | }; | ||
|  | 
 | ||
|  | template< typename T > | ||
|  | struct vector_space_norm_inf< std::complex<T> > | ||
|  | { | ||
|  |     typedef T result_type; | ||
|  |     result_type operator()( std::complex<T> x ) const | ||
|  |     { | ||
|  |         using std::abs; | ||
|  |         return abs( x ); | ||
|  |     } | ||
|  | }; | ||
|  | 
 | ||
|  | struct vector_space_algebra | ||
|  | { | ||
|  |     template< class S1 , class Op > | ||
|  |     static void for_each1( S1 &s1 , Op op ) | ||
|  |     { | ||
|  |         // ToDo : build checks, that the +-*/ operators are well defined | ||
|  |         op( s1 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class Op > | ||
|  |     static void for_each2( S1 &s1 , S2 &s2 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class Op > | ||
|  |     static void for_each3( S1 &s1 , S2 &s2 , S3 &s3 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class Op > | ||
|  |     static void for_each4( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class Op > | ||
|  |     static void for_each5( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 , class Op > | ||
|  |     static void for_each6( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class Op > | ||
|  |     static void for_each7( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class Op > | ||
|  |     static void for_each8( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class S9 , class Op > | ||
|  |     static void for_each9( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 , s9 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class S9 , class S10 , class Op > | ||
|  |     static void for_each10( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 , s9 , s10 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class S9 , class S10 , class S11 , class Op > | ||
|  |     static void for_each11( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 , s9 , s10 , s11 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class S9 , class S10 , class S11 , class S12 , class Op > | ||
|  |     static void for_each12( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , S12 &s12 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 , s9 , s10 , s11 , s12 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class S9 , class S10 , class S11 , class S12 , class S13 , class Op > | ||
|  |     static void for_each13( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , S12 &s12 , S13 &s13 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 , s9 , s10 , s11 , s12 , s13 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class S9 , class S10 , class S11 , class S12 , class S13 , class S14 , class Op > | ||
|  |     static void for_each14( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , S12 &s12 , S13 &s13 , S14 &s14 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 , s9 , s10 , s11 , s12 , s13 , s14 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S1 , class S2 , class S3 , class S4 , class S5 , class S6 ,class S7 , class S8 , class S9 , class S10 , class S11 , class S12 , class S13 , class S14 , class S15 , class Op > | ||
|  |     static void for_each15( S1 &s1 , S2 &s2 , S3 &s3 , S4 &s4 , S5 &s5 , S6 &s6 , S7 &s7 , S8 &s8 , S9 &s9 , S10 &s10 , S11 &s11 , S12 &s12 , S13 &s13 , S14 &s14 , S15 &s15 , Op op ) | ||
|  |     { | ||
|  |         op( s1 , s2 , s3 , s4 , s5 , s6 , s7 , s8 , s9 , s10 , s11 , s12 , s13 , s14 , s15 ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class S > | ||
|  |     static typename boost::numeric::odeint::vector_space_norm_inf< S >::result_type norm_inf( const S &s ) | ||
|  |     { | ||
|  |         boost::numeric::odeint::vector_space_norm_inf< S > n; | ||
|  |         return n( s ); | ||
|  |     } | ||
|  | }; | ||
|  | 
 | ||
|  | 
 | ||
|  | } // odeint | ||
|  | } // numeric | ||
|  | } // boost | ||
|  | 
 | ||
|  | 
 | ||
|  | #endif // BOOST_NUMERIC_ODEINT_ALGEBRA_VECTOR_SPACE_ALGEBRA_HPP_INCLUDED |