mirror of
https://github.com/saitohirga/WSJT-X.git
synced 2025-11-04 05:50:31 -05:00
90 lines
2.5 KiB
C++
90 lines
2.5 KiB
C++
|
/*
|
||
|
|
boost header: numeric/odeint/gram_schmitt.hpp
|
||
|
|
|
||
|
|
Copyright 2011-2013 Karsten Ahnert
|
||
|
|
Copyright 2011 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_GRAM_SCHMITT_HPP_INCLUDED
|
||
|
|
#define BOOST_NUMERIC_ODEINT_GRAM_SCHMITT_HPP_INCLUDED
|
||
|
|
|
||
|
|
#include <boost/throw_exception.hpp>
|
||
|
|
#include <iterator>
|
||
|
|
#include <algorithm>
|
||
|
|
#include <numeric>
|
||
|
|
|
||
|
|
namespace boost {
|
||
|
|
namespace numeric {
|
||
|
|
namespace odeint {
|
||
|
|
|
||
|
|
template< class Iterator , class T >
|
||
|
|
void normalize( Iterator first , Iterator last , T norm )
|
||
|
|
{
|
||
|
|
while( first != last ) *first++ /= norm;
|
||
|
|
}
|
||
|
|
|
||
|
|
template< class Iterator , class T >
|
||
|
|
void substract_vector( Iterator first1 , Iterator last1 ,
|
||
|
|
Iterator first2 , T val )
|
||
|
|
{
|
||
|
|
while( first1 != last1 ) *first1++ -= val * ( *first2++ );
|
||
|
|
}
|
||
|
|
|
||
|
|
template< size_t num_of_lyap , class StateType , class LyapType >
|
||
|
|
void gram_schmidt( StateType &x , LyapType &lyap , size_t n )
|
||
|
|
{
|
||
|
|
if( !num_of_lyap ) return;
|
||
|
|
if( ptrdiff_t( ( num_of_lyap + 1 ) * n ) != std::distance( x.begin() , x.end() ) )
|
||
|
|
BOOST_THROW_EXCEPTION( std::domain_error( "renormalization() : size of state does not match the number of lyapunov exponents." ) );
|
||
|
|
|
||
|
|
typedef typename StateType::value_type value_type;
|
||
|
|
typedef typename StateType::iterator iterator;
|
||
|
|
|
||
|
|
value_type norm[num_of_lyap];
|
||
|
|
value_type tmp[num_of_lyap];
|
||
|
|
iterator first = x.begin() + n;
|
||
|
|
iterator beg1 = first , end1 = first + n ;
|
||
|
|
|
||
|
|
std::fill( norm , norm+num_of_lyap , 0.0 );
|
||
|
|
|
||
|
|
// normalize first vector
|
||
|
|
norm[0] = sqrt( std::inner_product( beg1 , end1 , beg1 , 0.0 ) );
|
||
|
|
normalize( beg1 , end1 , norm[0] );
|
||
|
|
|
||
|
|
beg1 += n;
|
||
|
|
end1 += n;
|
||
|
|
|
||
|
|
for( size_t j=1 ; j<num_of_lyap ; ++j , beg1+=n , end1+=n )
|
||
|
|
{
|
||
|
|
for( size_t k=0 ; k<j ; ++k )
|
||
|
|
{
|
||
|
|
tmp[k] = std::inner_product( beg1 , end1 , first + k*n , 0.0 );
|
||
|
|
// clog << j << " " << k << " " << tmp[k] << "\n";
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
for( size_t k=0 ; k<j ; ++k )
|
||
|
|
substract_vector( beg1 , end1 , first + k*n , tmp[k] );
|
||
|
|
|
||
|
|
// normalize j-th vector
|
||
|
|
norm[j] = sqrt( std::inner_product( beg1 , end1 , beg1 , 0.0 ) );
|
||
|
|
// clog << j << " " << norm[j] << "\n";
|
||
|
|
normalize( beg1 , end1 , norm[j] );
|
||
|
|
}
|
||
|
|
|
||
|
|
for( size_t j=0 ; j<num_of_lyap ; j++ )
|
||
|
|
lyap[j] += log( norm[j] );
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
} // namespace odeint
|
||
|
|
} // namespace numeric
|
||
|
|
} // namespace boost
|
||
|
|
|
||
|
|
#endif //BOOST_NUMERIC_ODEINT_GRAM_SCHMITT_HPP_INCLUDED
|