Bill Somerville 4ebe6417a5 Squashed 'boost/' content from commit b4feb19f2
git-subtree-dir: boost
git-subtree-split: b4feb19f287ee92d87a9624b5d36b7cf46aeadeb
2018-06-09 21:48:32 +01:00

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C++

/* Boost lorenz.cpp test file
Copyright 2012 Karsten Ahnert
Copyright 2012 Mario Mulansky
This file tests the odeint library with the vexcl types
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)
*/
#define BOOST_TEST_MODULE odeint_vexcl
#include <vector>
#include <iostream>
#include <vexcl/vexcl.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta4.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp>
#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp>
#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp>
#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp>
#include <boost/numeric/odeint/integrate/integrate_const.hpp>
#include <boost/numeric/odeint/external/vexcl/vexcl.hpp>
#include <boost/test/unit_test.hpp>
using namespace boost::unit_test;
namespace odeint = boost::numeric::odeint;
typedef vex::vector< double > vector_type;
typedef vex::multivector< double, 3 > state_type;
const double sigma = 10.0;
const double b = 8.0 / 3.0;
struct sys_func
{
const vector_type &R;
sys_func( const vector_type &_R ) : R( _R ) { }
void operator()( const state_type &x , state_type &dxdt , double t ) const
{
dxdt(0) = -sigma * ( x(0) - x(1) );
dxdt(1) = R * x(0) - x(1) - x(0) * x(2);
dxdt(2) = - b * x(2) + x(0) * x(1);
}
};
const size_t n = 1024 ;
const double dt = 0.01;
const double t_max = 1.0;
BOOST_AUTO_TEST_CASE( integrate_const_rk4 )
{
vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) );
double Rmin = 0.1 , Rmax = 50.0 , dR = ( Rmax - Rmin ) / double( n - 1 );
std::vector<double> x( n * 3 ) , r( n );
for( size_t i=0 ; i<n ; ++i ) r[i] = Rmin + dR * double( i );
state_type X( ctx.queue() , n );
X(0) = 10.0;
X(1) = 10.0;
X(2) = 10.0;
vector_type R( ctx.queue() , r );
odeint::runge_kutta4<
state_type , double , state_type , double ,
odeint::vector_space_algebra , odeint::default_operations
> stepper;
odeint::integrate_const( stepper , sys_func( R ) , X , 0.0 , t_max , dt );
std::vector< double > res( 3 * n );
vex::copy( X(0) , res );
std::cout << res[0] << std::endl;
}
BOOST_AUTO_TEST_CASE( integrate_const_controlled_rk54 )
{
vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) );
double Rmin = 0.1 , Rmax = 50.0 , dR = ( Rmax - Rmin ) / double( n - 1 );
std::vector<double> x( n * 3 ) , r( n );
for( size_t i=0 ; i<n ; ++i ) r[i] = Rmin + dR * double( i );
state_type X( ctx.queue() , n );
X(0) = 10.0;
X(1) = 10.0;
X(2) = 10.0;
vector_type R( ctx.queue() , r );
typedef odeint::runge_kutta_cash_karp54<
state_type , double , state_type , double ,
odeint::vector_space_algebra , odeint::default_operations
> stepper_type;
typedef odeint::controlled_runge_kutta< stepper_type > controlled_stepper_type;
odeint::integrate_const( controlled_stepper_type() , sys_func( R ) , X , 0.0 , t_max , dt );
std::vector< double > res( 3 * n );
vex::copy( X(0) , res );
std::cout << res[0] << std::endl;
}
BOOST_AUTO_TEST_CASE( integrate_const_dense_output_dopri5 )
{
vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) );
double Rmin = 0.1 , Rmax = 50.0 , dR = ( Rmax - Rmin ) / double( n - 1 );
std::vector<double> x( n * 3 ) , r( n );
for( size_t i=0 ; i<n ; ++i ) r[i] = Rmin + dR * double( i );
state_type X( ctx.queue() , n );
X(0) = 10.0;
X(1) = 10.0;
X(2) = 10.0;
vector_type R( ctx.queue() , r );
typedef odeint::runge_kutta_dopri5<
state_type , double , state_type , double ,
odeint::vector_space_algebra , odeint::default_operations
> stepper_type;
typedef odeint::controlled_runge_kutta< stepper_type > controlled_stepper_type;
typedef odeint::dense_output_runge_kutta< controlled_stepper_type > dense_output_stepper_type;
odeint::integrate_const( dense_output_stepper_type() , sys_func( R ) , X , 0.0 , t_max , dt );
std::vector< double > res( 3 * n );
vex::copy( X(0) , res );
std::cout << res[0] << std::endl;
}