mirror of
https://github.com/saitohirga/WSJT-X.git
synced 2025-11-04 05:50:31 -05:00
297 lines
10 KiB
Plaintext
297 lines
10 KiB
Plaintext
|
/*
|
||
|
|
Copyright 2011-2012 Karsten Ahnert
|
||
|
|
Copyright 2011-2013 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)
|
||
|
|
*/
|
||
|
|
|
||
|
|
#include <iostream>
|
||
|
|
#include <cmath>
|
||
|
|
#include <utility>
|
||
|
|
|
||
|
|
|
||
|
|
#include <thrust/device_vector.h>
|
||
|
|
#include <thrust/reduce.h>
|
||
|
|
#include <thrust/functional.h>
|
||
|
|
|
||
|
|
#include <boost/numeric/odeint.hpp>
|
||
|
|
|
||
|
|
#include <boost/numeric/odeint/external/thrust/thrust.hpp>
|
||
|
|
|
||
|
|
#include <boost/random/mersenne_twister.hpp>
|
||
|
|
#include <boost/random/uniform_real.hpp>
|
||
|
|
#include <boost/random/variate_generator.hpp>
|
||
|
|
|
||
|
|
|
||
|
|
using namespace std;
|
||
|
|
using namespace boost::numeric::odeint;
|
||
|
|
|
||
|
|
//change this to float if your device does not support double computation
|
||
|
|
typedef double value_type;
|
||
|
|
|
||
|
|
//change this to host_vector< ... > of you want to run on CPU
|
||
|
|
typedef thrust::device_vector< value_type > state_type;
|
||
|
|
typedef thrust::device_vector< size_t > index_vector_type;
|
||
|
|
// typedef thrust::host_vector< value_type > state_type;
|
||
|
|
// typedef thrust::host_vector< size_t > index_vector_type;
|
||
|
|
|
||
|
|
|
||
|
|
const value_type sigma = 10.0;
|
||
|
|
const value_type b = 8.0 / 3.0;
|
||
|
|
|
||
|
|
|
||
|
|
//[ thrust_lorenz_parameters_define_simple_system
|
||
|
|
struct lorenz_system
|
||
|
|
{
|
||
|
|
struct lorenz_functor
|
||
|
|
{
|
||
|
|
template< class T >
|
||
|
|
__host__ __device__
|
||
|
|
void operator()( T t ) const
|
||
|
|
{
|
||
|
|
// unpack the parameter we want to vary and the Lorenz variables
|
||
|
|
value_type R = thrust::get< 3 >( t );
|
||
|
|
value_type x = thrust::get< 0 >( t );
|
||
|
|
value_type y = thrust::get< 1 >( t );
|
||
|
|
value_type z = thrust::get< 2 >( t );
|
||
|
|
thrust::get< 4 >( t ) = sigma * ( y - x );
|
||
|
|
thrust::get< 5 >( t ) = R * x - y - x * z;
|
||
|
|
thrust::get< 6 >( t ) = -b * z + x * y ;
|
||
|
|
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
lorenz_system( size_t N , const state_type &beta )
|
||
|
|
: m_N( N ) , m_beta( beta ) { }
|
||
|
|
|
||
|
|
template< class State , class Deriv >
|
||
|
|
void operator()( const State &x , Deriv &dxdt , value_type t ) const
|
||
|
|
{
|
||
|
|
thrust::for_each(
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( x ) ,
|
||
|
|
boost::begin( x ) + m_N ,
|
||
|
|
boost::begin( x ) + 2 * m_N ,
|
||
|
|
m_beta.begin() ,
|
||
|
|
boost::begin( dxdt ) ,
|
||
|
|
boost::begin( dxdt ) + m_N ,
|
||
|
|
boost::begin( dxdt ) + 2 * m_N ) ) ,
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( x ) + m_N ,
|
||
|
|
boost::begin( x ) + 2 * m_N ,
|
||
|
|
boost::begin( x ) + 3 * m_N ,
|
||
|
|
m_beta.begin() ,
|
||
|
|
boost::begin( dxdt ) + m_N ,
|
||
|
|
boost::begin( dxdt ) + 2 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 3 * m_N ) ) ,
|
||
|
|
lorenz_functor() );
|
||
|
|
}
|
||
|
|
size_t m_N;
|
||
|
|
const state_type &m_beta;
|
||
|
|
};
|
||
|
|
//]
|
||
|
|
|
||
|
|
struct lorenz_perturbation_system
|
||
|
|
{
|
||
|
|
struct lorenz_perturbation_functor
|
||
|
|
{
|
||
|
|
template< class T >
|
||
|
|
__host__ __device__
|
||
|
|
void operator()( T t ) const
|
||
|
|
{
|
||
|
|
value_type R = thrust::get< 1 >( t );
|
||
|
|
value_type x = thrust::get< 0 >( thrust::get< 0 >( t ) );
|
||
|
|
value_type y = thrust::get< 1 >( thrust::get< 0 >( t ) );
|
||
|
|
value_type z = thrust::get< 2 >( thrust::get< 0 >( t ) );
|
||
|
|
value_type dx = thrust::get< 3 >( thrust::get< 0 >( t ) );
|
||
|
|
value_type dy = thrust::get< 4 >( thrust::get< 0 >( t ) );
|
||
|
|
value_type dz = thrust::get< 5 >( thrust::get< 0 >( t ) );
|
||
|
|
thrust::get< 0 >( thrust::get< 2 >( t ) ) = sigma * ( y - x );
|
||
|
|
thrust::get< 1 >( thrust::get< 2 >( t ) ) = R * x - y - x * z;
|
||
|
|
thrust::get< 2 >( thrust::get< 2 >( t ) ) = -b * z + x * y ;
|
||
|
|
thrust::get< 3 >( thrust::get< 2 >( t ) ) = sigma * ( dy - dx );
|
||
|
|
thrust::get< 4 >( thrust::get< 2 >( t ) ) = ( R - z ) * dx - dy - x * dz;
|
||
|
|
thrust::get< 5 >( thrust::get< 2 >( t ) ) = y * dx + x * dy - b * dz;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
lorenz_perturbation_system( size_t N , const state_type &beta )
|
||
|
|
: m_N( N ) , m_beta( beta ) { }
|
||
|
|
|
||
|
|
template< class State , class Deriv >
|
||
|
|
void operator()( const State &x , Deriv &dxdt , value_type t ) const
|
||
|
|
{
|
||
|
|
thrust::for_each(
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( x ) ,
|
||
|
|
boost::begin( x ) + m_N ,
|
||
|
|
boost::begin( x ) + 2 * m_N ,
|
||
|
|
boost::begin( x ) + 3 * m_N ,
|
||
|
|
boost::begin( x ) + 4 * m_N ,
|
||
|
|
boost::begin( x ) + 5 * m_N ) ) ,
|
||
|
|
m_beta.begin() ,
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( dxdt ) ,
|
||
|
|
boost::begin( dxdt ) + m_N ,
|
||
|
|
boost::begin( dxdt ) + 2 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 3 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 4 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 5 * m_N ) )
|
||
|
|
) ) ,
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( x ) + m_N ,
|
||
|
|
boost::begin( x ) + 2 * m_N ,
|
||
|
|
boost::begin( x ) + 3 * m_N ,
|
||
|
|
boost::begin( x ) + 4 * m_N ,
|
||
|
|
boost::begin( x ) + 5 * m_N ,
|
||
|
|
boost::begin( x ) + 6 * m_N ) ) ,
|
||
|
|
m_beta.begin() ,
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( dxdt ) + m_N ,
|
||
|
|
boost::begin( dxdt ) + 2 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 3 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 4 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 5 * m_N ,
|
||
|
|
boost::begin( dxdt ) + 6 * m_N ) )
|
||
|
|
) ) ,
|
||
|
|
lorenz_perturbation_functor() );
|
||
|
|
}
|
||
|
|
|
||
|
|
size_t m_N;
|
||
|
|
const state_type &m_beta;
|
||
|
|
};
|
||
|
|
|
||
|
|
struct lyap_observer
|
||
|
|
{
|
||
|
|
//[thrust_lorenz_parameters_observer_functor
|
||
|
|
struct lyap_functor
|
||
|
|
{
|
||
|
|
template< class T >
|
||
|
|
__host__ __device__
|
||
|
|
void operator()( T t ) const
|
||
|
|
{
|
||
|
|
value_type &dx = thrust::get< 0 >( t );
|
||
|
|
value_type &dy = thrust::get< 1 >( t );
|
||
|
|
value_type &dz = thrust::get< 2 >( t );
|
||
|
|
value_type norm = sqrt( dx * dx + dy * dy + dz * dz );
|
||
|
|
dx /= norm;
|
||
|
|
dy /= norm;
|
||
|
|
dz /= norm;
|
||
|
|
thrust::get< 3 >( t ) += log( norm );
|
||
|
|
}
|
||
|
|
};
|
||
|
|
//]
|
||
|
|
|
||
|
|
lyap_observer( size_t N , size_t every = 100 )
|
||
|
|
: m_N( N ) , m_lyap( N ) , m_every( every ) , m_count( 0 )
|
||
|
|
{
|
||
|
|
thrust::fill( m_lyap.begin() , m_lyap.end() , 0.0 );
|
||
|
|
}
|
||
|
|
|
||
|
|
template< class Lyap >
|
||
|
|
void fill_lyap( Lyap &lyap )
|
||
|
|
{
|
||
|
|
thrust::copy( m_lyap.begin() , m_lyap.end() , lyap.begin() );
|
||
|
|
for( size_t i=0 ; i<lyap.size() ; ++i )
|
||
|
|
lyap[i] /= m_t_overall;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
template< class State >
|
||
|
|
void operator()( State &x , value_type t )
|
||
|
|
{
|
||
|
|
if( ( m_count != 0 ) && ( ( m_count % m_every ) == 0 ) )
|
||
|
|
{
|
||
|
|
thrust::for_each(
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( x ) + 3 * m_N ,
|
||
|
|
boost::begin( x ) + 4 * m_N ,
|
||
|
|
boost::begin( x ) + 5 * m_N ,
|
||
|
|
m_lyap.begin() ) ) ,
|
||
|
|
thrust::make_zip_iterator( thrust::make_tuple(
|
||
|
|
boost::begin( x ) + 4 * m_N ,
|
||
|
|
boost::begin( x ) + 5 * m_N ,
|
||
|
|
boost::begin( x ) + 6 * m_N ,
|
||
|
|
m_lyap.end() ) ) ,
|
||
|
|
lyap_functor() );
|
||
|
|
clog << t << "\n";
|
||
|
|
}
|
||
|
|
++m_count;
|
||
|
|
m_t_overall = t;
|
||
|
|
}
|
||
|
|
|
||
|
|
size_t m_N;
|
||
|
|
state_type m_lyap;
|
||
|
|
size_t m_every;
|
||
|
|
size_t m_count;
|
||
|
|
value_type m_t_overall;
|
||
|
|
};
|
||
|
|
|
||
|
|
const size_t N = 1024*2;
|
||
|
|
const value_type dt = 0.01;
|
||
|
|
|
||
|
|
|
||
|
|
int main( int arc , char* argv[] )
|
||
|
|
{
|
||
|
|
int driver_version , runtime_version;
|
||
|
|
cudaDriverGetVersion( &driver_version );
|
||
|
|
cudaRuntimeGetVersion ( &runtime_version );
|
||
|
|
cout << driver_version << "\t" << runtime_version << endl;
|
||
|
|
|
||
|
|
|
||
|
|
//[ thrust_lorenz_parameters_define_beta
|
||
|
|
vector< value_type > beta_host( N );
|
||
|
|
const value_type beta_min = 0.0 , beta_max = 56.0;
|
||
|
|
for( size_t i=0 ; i<N ; ++i )
|
||
|
|
beta_host[i] = beta_min + value_type( i ) * ( beta_max - beta_min ) / value_type( N - 1 );
|
||
|
|
|
||
|
|
state_type beta = beta_host;
|
||
|
|
//]
|
||
|
|
|
||
|
|
//[ thrust_lorenz_parameters_integration
|
||
|
|
state_type x( 6 * N );
|
||
|
|
|
||
|
|
// initialize x,y,z
|
||
|
|
thrust::fill( x.begin() , x.begin() + 3 * N , 10.0 );
|
||
|
|
|
||
|
|
// initial dx
|
||
|
|
thrust::fill( x.begin() + 3 * N , x.begin() + 4 * N , 1.0 );
|
||
|
|
|
||
|
|
// initialize dy,dz
|
||
|
|
thrust::fill( x.begin() + 4 * N , x.end() , 0.0 );
|
||
|
|
|
||
|
|
|
||
|
|
// create error stepper, can be used with make_controlled or make_dense_output
|
||
|
|
typedef runge_kutta_dopri5< state_type , value_type , state_type , value_type > stepper_type;
|
||
|
|
|
||
|
|
|
||
|
|
lorenz_system lorenz( N , beta );
|
||
|
|
lorenz_perturbation_system lorenz_perturbation( N , beta );
|
||
|
|
lyap_observer obs( N , 1 );
|
||
|
|
|
||
|
|
// calculate transients
|
||
|
|
integrate_adaptive( make_controlled( 1.0e-6 , 1.0e-6 , stepper_type() ) , lorenz , std::make_pair( x.begin() , x.begin() + 3 * N ) , 0.0 , 10.0 , dt );
|
||
|
|
|
||
|
|
// calculate the Lyapunov exponents -- the main loop
|
||
|
|
double t = 0.0;
|
||
|
|
while( t < 10000.0 )
|
||
|
|
{
|
||
|
|
integrate_adaptive( make_controlled( 1.0e-6 , 1.0e-6 , stepper_type() ) , lorenz_perturbation , x , t , t + 1.0 , 0.1 );
|
||
|
|
t += 1.0;
|
||
|
|
obs( x , t );
|
||
|
|
}
|
||
|
|
|
||
|
|
vector< value_type > lyap( N );
|
||
|
|
obs.fill_lyap( lyap );
|
||
|
|
|
||
|
|
for( size_t i=0 ; i<N ; ++i )
|
||
|
|
cout << beta_host[i] << "\t" << lyap[i] << "\n";
|
||
|
|
//]
|
||
|
|
|
||
|
|
return 0;
|
||
|
|
}
|