87 lines
2.1 KiB
C++
87 lines
2.1 KiB
C++
/*
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* Copyright 2012 Karsten Ahnert
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* Copyright 2013 Mario Mulansky
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*
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* Distributed under the Boost Software License, Version 1.0.
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* (See accompanying file LICENSE_1_0.txt or
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* copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#include <iostream>
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#include <vector>
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#include <vexcl/vexcl.hpp>
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#include <boost/numeric/odeint.hpp>
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//[ vexcl_includes
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#include <boost/numeric/odeint/external/vexcl/vexcl.hpp>
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//]
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namespace odeint = boost::numeric::odeint;
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//[ vexcl_state_types
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typedef vex::vector< double > vector_type;
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typedef vex::multivector< double, 3 > state_type;
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//]
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//[ vexcl_system
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const double sigma = 10.0;
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const double b = 8.0 / 3.0;
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struct sys_func
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{
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const vector_type &R;
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sys_func( const vector_type &_R ) : R( _R ) { }
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void operator()( const state_type &x , state_type &dxdt , double t ) const
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{
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dxdt(0) = -sigma * ( x(0) - x(1) );
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dxdt(1) = R * x(0) - x(1) - x(0) * x(2);
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dxdt(2) = - b * x(2) + x(0) * x(1);
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}
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};
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//]
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int main( int argc , char **argv )
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{
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using namespace std;
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using namespace odeint;
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//[ vexcl_main
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// setup the opencl context
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vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) );
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std::cout << ctx << std::endl;
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// set up number of system, time step and integration time
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const size_t n = 1024 * 1024;
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const double dt = 0.01;
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const double t_max = 1000.0;
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// initialize R
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double Rmin = 0.1 , Rmax = 50.0 , dR = ( Rmax - Rmin ) / double( n - 1 );
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std::vector<double> x( n * 3 ) , r( n );
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for( size_t i=0 ; i<n ; ++i ) r[i] = Rmin + dR * double( i );
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vector_type R( ctx.queue() , r );
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// initialize the state of the lorenz ensemble
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state_type X(ctx.queue(), n);
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X(0) = 10.0;
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X(1) = 10.0;
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X(2) = 10.0;
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// create a stepper
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runge_kutta4< state_type > stepper;
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// solve the system
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integrate_const( stepper , sys_func( R ) , X , 0.0 , t_max , dt );
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//]
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std::vector< double > res( 3 * n );
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vex::copy( X(0) , res );
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for( size_t i=0 ; i<n ; ++i )
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cout << r[i] << "\t" << res[i] << "\t" << "\n";
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}
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