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148 lines
4.2 KiB
C++
148 lines
4.2 KiB
C++
/* Boost lorenz.cpp test file
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Copyright 2012 Karsten Ahnert
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Copyright 2012 Mario Mulansky
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This file tests the odeint library with the vexcl types
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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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#define BOOST_TEST_MODULE odeint_vexcl
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#include <vector>
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#include <iostream>
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#include <vexcl/vexcl.hpp>
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#include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
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#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
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#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
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#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp>
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#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp>
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#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp>
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#include <boost/numeric/odeint/integrate/integrate_const.hpp>
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#include <boost/numeric/odeint/external/vexcl/vexcl.hpp>
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#include <boost/test/unit_test.hpp>
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using namespace boost::unit_test;
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namespace odeint = boost::numeric::odeint;
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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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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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const size_t n = 1024 ;
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const double dt = 0.01;
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const double t_max = 1.0;
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BOOST_AUTO_TEST_CASE( integrate_const_rk4 )
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{
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vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) );
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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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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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vector_type R( ctx.queue() , r );
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odeint::runge_kutta4<
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state_type , double , state_type , double ,
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odeint::vector_space_algebra , odeint::default_operations
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> stepper;
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odeint::integrate_const( stepper , sys_func( R ) , X , 0.0 , t_max , dt );
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std::vector< double > res( 3 * n );
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vex::copy( X(0) , res );
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std::cout << res[0] << std::endl;
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}
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BOOST_AUTO_TEST_CASE( integrate_const_controlled_rk54 )
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{
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vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) );
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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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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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vector_type R( ctx.queue() , r );
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typedef odeint::runge_kutta_cash_karp54<
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state_type , double , state_type , double ,
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odeint::vector_space_algebra , odeint::default_operations
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> stepper_type;
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typedef odeint::controlled_runge_kutta< stepper_type > controlled_stepper_type;
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odeint::integrate_const( controlled_stepper_type() , sys_func( R ) , X , 0.0 , t_max , dt );
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std::vector< double > res( 3 * n );
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vex::copy( X(0) , res );
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std::cout << res[0] << std::endl;
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}
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BOOST_AUTO_TEST_CASE( integrate_const_dense_output_dopri5 )
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{
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vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) );
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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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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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vector_type R( ctx.queue() , r );
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typedef odeint::runge_kutta_dopri5<
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state_type , double , state_type , double ,
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odeint::vector_space_algebra , odeint::default_operations
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> stepper_type;
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typedef odeint::controlled_runge_kutta< stepper_type > controlled_stepper_type;
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typedef odeint::dense_output_runge_kutta< controlled_stepper_type > dense_output_stepper_type;
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odeint::integrate_const( dense_output_stepper_type() , sys_func( R ) , X , 0.0 , t_max , dt );
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std::vector< double > res( 3 * n );
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vex::copy( X(0) , res );
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std::cout << res[0] << std::endl;
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}
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