diff options
Diffstat (limited to 'src/boost/libs/numeric/odeint')
194 files changed, 35612 insertions, 0 deletions
diff --git a/src/boost/libs/numeric/odeint/CHANGELOG b/src/boost/libs/numeric/odeint/CHANGELOG new file mode 100644 index 000000000..b1537eb1a --- /dev/null +++ b/src/boost/libs/numeric/odeint/CHANGELOG @@ -0,0 +1,9 @@ +odeint 2.1 + +* versioning system +* generation functions +* bugfixing + +odeint 2.2 (still running) + +* removing same_size and resize from state_wrapper into separate functions diff --git a/src/boost/libs/numeric/odeint/README.md b/src/boost/libs/numeric/odeint/README.md new file mode 100644 index 000000000..23e4f88b5 --- /dev/null +++ b/src/boost/libs/numeric/odeint/README.md @@ -0,0 +1,3 @@ +[](https://travis-ci.org/headmyshoulder/odeint-v2) + +odeint is a highly flexible library for solving ordinary differential equations. diff --git a/src/boost/libs/numeric/odeint/examples/2d_lattice/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/2d_lattice/Jamfile.v2 new file mode 100644 index 000000000..c995ec168 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/2d_lattice/Jamfile.v2 @@ -0,0 +1,13 @@ +# Copyright 2011 Mario Mulansky +# Copyright 2012 Karsten Ahnert +# 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) + +project + : requirements + <include>../../../../.. + <define>BOOST_ALL_NO_LIB=1 + ; + +exe spreading : spreading.cpp ;
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/examples/2d_lattice/lattice2d.hpp b/src/boost/libs/numeric/odeint/examples/2d_lattice/lattice2d.hpp new file mode 100644 index 000000000..4fd9c985e --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/2d_lattice/lattice2d.hpp @@ -0,0 +1,165 @@ +/* + Copyright 2011 Mario Mulansky + Copyright 2012-2013 Karsten Ahnert + + 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) + */ + + +/* strongly nonlinear hamiltonian lattice in 2d */ + +#ifndef LATTICE2D_HPP +#define LATTICE2D_HPP + +#include <vector> + +#include <boost/math/special_functions/pow.hpp> + +using boost::math::pow; + +template< int Kappa , int Lambda > +struct lattice2d { + + const double m_beta; + std::vector< std::vector< double > > m_omega; + + lattice2d( const double beta ) + : m_beta( beta ) + { } + + template< class StateIn , class StateOut > + void operator()( const StateIn &q , StateOut &dpdt ) + { + // q and dpdt are 2d + const int N = q.size(); + + int i; + for( i = 0 ; i < N ; ++i ) + { + const int i_l = (i-1+N) % N; + const int i_r = (i+1) % N; + for( int j = 0 ; j < N ; ++j ) + { + const int j_l = (j-1+N) % N; + const int j_r = (j+1) % N; + dpdt[i][j] = - m_omega[i][j] * pow<Kappa-1>( q[i][j] ) + - m_beta * pow<Lambda-1>( q[i][j] - q[i][j_l] ) + - m_beta * pow<Lambda-1>( q[i][j] - q[i][j_r] ) + - m_beta * pow<Lambda-1>( q[i][j] - q[i_l][j] ) + - m_beta * pow<Lambda-1>( q[i][j] - q[i_r][j] ); + } + } + } + + template< class StateIn > + double energy( const StateIn &q , const StateIn &p ) + { + // q and dpdt are 2d + const int N = q.size(); + double energy = 0.0; + int i; + for( i = 0 ; i < N ; ++i ) + { + const int i_l = (i-1+N) % N; + const int i_r = (i+1) % N; + for( int j = 0 ; j < N ; ++j ) + { + const int j_l = (j-1+N) % N; + const int j_r = (j+1) % N; + energy += p[i][j]*p[i][j] / 2.0 + + m_omega[i][j] * pow<Kappa>( q[i][j] ) / Kappa + + m_beta * pow<Lambda>( q[i][j] - q[i][j_l] ) / Lambda / 2 + + m_beta * pow<Lambda>( q[i][j] - q[i][j_r] ) / Lambda / 2 + + m_beta * pow<Lambda>( q[i][j] - q[i_l][j] ) / Lambda / 2 + + m_beta * pow<Lambda>( q[i][j] - q[i_r][j] ) / Lambda / 2; + } + } + return energy; + } + + + template< class StateIn , class StateOut > + double local_energy( const StateIn &q , const StateIn &p , StateOut &energy ) + { + // q and dpdt are 2d + const int N = q.size(); + double e = 0.0; + int i; + for( i = 0 ; i < N ; ++i ) + { + const int i_l = (i-1+N) % N; + const int i_r = (i+1) % N; + for( int j = 0 ; j < N ; ++j ) + { + const int j_l = (j-1+N) % N; + const int j_r = (j+1) % N; + energy[i][j] = p[i][j]*p[i][j] / 2.0 + + m_omega[i][j] * pow<Kappa>( q[i][j] ) / Kappa + + m_beta * pow<Lambda>( q[i][j] - q[i][j_l] ) / Lambda / 2 + + m_beta * pow<Lambda>( q[i][j] - q[i][j_r] ) / Lambda / 2 + + m_beta * pow<Lambda>( q[i][j] - q[i_l][j] ) / Lambda / 2 + + m_beta * pow<Lambda>( q[i][j] - q[i_r][j] ) / Lambda / 2; + e += energy[i][j]; + } + } + //rescale + e = 1.0/e; + for( i = 0 ; i < N ; ++i ) + for( int j = 0 ; j < N ; ++j ) + energy[i][j] *= e; + return 1.0/e; + } + + void load_pot( const char* filename , const double W , const double gap , + const size_t dim ) + { + std::ifstream in( filename , std::ios::in | std::ios::binary ); + if( !in.is_open() ) { + std::cerr << "pot file not found: " << filename << std::endl; + exit(0); + } else { + std::cout << "using pot file: " << filename << std::endl; + } + + m_omega.resize( dim ); + for( int i = 0 ; i < dim ; ++i ) + { + m_omega[i].resize( dim ); + for( size_t j = 0 ; j < dim ; ++j ) + { + if( !in.good() ) + { + std::cerr << "I/O Error: " << filename << std::endl; + exit(0); + } + double d; + in.read( (char*) &d , sizeof(d) ); + if( (d < 0) || (d > 1.0) ) + { + std::cerr << "ERROR: " << d << std::endl; + exit(0); + } + m_omega[i][j] = W*d + gap; + } + } + + } + + void generate_pot( const double W , const double gap , const size_t dim ) + { + m_omega.resize( dim ); + for( size_t i = 0 ; i < dim ; ++i ) + { + m_omega[i].resize( dim ); + for( size_t j = 0 ; j < dim ; ++j ) + { + m_omega[i][j] = W*static_cast<double>(rand())/RAND_MAX + gap; + } + } + } + +}; + +#endif diff --git a/src/boost/libs/numeric/odeint/examples/2d_lattice/nested_range_algebra.hpp b/src/boost/libs/numeric/odeint/examples/2d_lattice/nested_range_algebra.hpp new file mode 100644 index 000000000..0afa367fd --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/2d_lattice/nested_range_algebra.hpp @@ -0,0 +1,46 @@ +/* + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) + */ + + +/* nested range algebra */ + +#ifndef NESTED_RANGE_ALGEBRA +#define NESTED_RANGE_ALGEBRA + +namespace detail { + + template< class Iterator1 , class Iterator2 , class Iterator3 , class Operation , class Algebra > + void for_each3( Iterator1 first1 , Iterator1 last1 , Iterator2 first2 , Iterator3 first3, Operation op , Algebra &algebra ) +{ + for( ; first1 != last1 ; ) + algebra.for_each3( *first1++ , *first2++ , *first3++ , op ); +} +} + + +template< class InnerAlgebra > +struct nested_range_algebra +{ + + nested_range_algebra() + : m_inner_algebra() + { } + + template< class S1 , class S2 , class S3 , class Op > + void for_each3( S1 &s1 , S2 &s2 , S3 &s3 , Op op ) + { + detail::for_each3( boost::begin( s1 ) , boost::end( s1 ) , boost::begin( s2 ) , boost::begin( s3 ) , op , m_inner_algebra ); + } + + +private: + InnerAlgebra m_inner_algebra; +}; + +#endif diff --git a/src/boost/libs/numeric/odeint/examples/2d_lattice/spreading.cpp b/src/boost/libs/numeric/odeint/examples/2d_lattice/spreading.cpp new file mode 100644 index 000000000..88c60bf72 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/2d_lattice/spreading.cpp @@ -0,0 +1,122 @@ +/* + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) + */ + + +/* + * Example of a 2D simulation of nonlinearly coupled oscillators. + * Program just prints final energy which should be close to the initial energy (1.0). + * No parallelization is employed here. + * Run time on a 2.3GHz Intel Core-i5: about 10 seconds for 100 steps. + * Compile simply via bjam or directly: + * g++ -O3 -I${BOOST_ROOT} -I../../../../.. spreading.cpp + */ + + +#include <iostream> +#include <fstream> +#include <vector> +#include <cstdlib> +#include <sys/time.h> + +#include <boost/ref.hpp> +#include <boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan.hpp> + +// we use a vector< vector< double > > as state type, +// for that some functionality has to be added for odeint to work +#include "nested_range_algebra.hpp" +#include "vector_vector_resize.hpp" + +// defines the rhs of our dynamical equation +#include "lattice2d.hpp" +/* dynamical equations (Hamiltonian structure): +dqdt_{i,j} = p_{i,j} +dpdt_{i,j} = - omega_{i,j}*q_{i,j} - \beta*[ (q_{i,j} - q_{i,j-1})^3 + +(q_{i,j} - q_{i,j+1})^3 + +(q_{i,j} - q_{i-1,j})^3 + +(q_{i,j} - q_{i+1,j})^3 ] +*/ + + +using namespace std; + +static const int MAX_N = 1024;//2048; + +static const size_t KAPPA = 2; +static const size_t LAMBDA = 4; +static const double W = 1.0; +static const double gap = 0.0; +static const size_t steps = 100; +static const double dt = 0.1; + +double initial_e = 1.0; +double beta = 1.0; +int realization_index = 0; + +//the state type +typedef vector< vector< double > > state_type; + +//the stepper, choose a symplectic one to account for hamiltonian structure +//use nested_range_algebra for calculations on vector< vector< ... > > +typedef boost::numeric::odeint::symplectic_rkn_sb3a_mclachlan< + state_type , state_type , double , state_type , state_type , double , + nested_range_algebra< boost::numeric::odeint::range_algebra > , + boost::numeric::odeint::default_operations > stepper_type; + +double time_diff_in_ms( timeval &t1 , timeval &t2 ) +{ return (t2.tv_sec - t1.tv_sec)*1000.0 + (t2.tv_usec - t1.tv_usec)/1000.0 + 0.5; } + + +int main( int argc, const char* argv[] ) { + + srand( time(NULL) ); + + lattice2d< KAPPA , LAMBDA > lattice( beta ); + + + lattice.generate_pot( W , gap , MAX_N ); + + state_type q( MAX_N , vector< double >( MAX_N , 0.0 ) ); + + state_type p( q ); + + state_type energy( q ); + + p[MAX_N/2][MAX_N/2] = sqrt( 0.5*initial_e ); + p[MAX_N/2+1][MAX_N/2] = sqrt( 0.5*initial_e ); + p[MAX_N/2][MAX_N/2+1] = sqrt( 0.5*initial_e ); + p[MAX_N/2+1][MAX_N/2+1] = sqrt( 0.5*initial_e ); + + cout.precision(10); + + lattice.local_energy( q , p , energy ); + double e=0.0; + for( size_t i=0 ; i<energy.size() ; ++i ) + for( size_t j=0 ; j<energy[i].size() ; ++j ) + { + e += energy[i][j]; + } + + cout << "initial energy: " << lattice.energy( q , p ) << endl; + + timeval elapsed_time_start , elapsed_time_end; + gettimeofday(&elapsed_time_start , NULL); + + stepper_type stepper; + + for( size_t step=0 ; step<=steps ; ++step ) + { + stepper.do_step( boost::ref( lattice ) , + make_pair( boost::ref( q ) , boost::ref( p ) ) , + 0.0 , 0.1 ); + } + + gettimeofday(&elapsed_time_end , NULL); + double elapsed_time = time_diff_in_ms( elapsed_time_start , elapsed_time_end ); + cout << steps << " steps in " << elapsed_time/1000 << " s (energy: " << lattice.energy( q , p ) << ")" << endl; +} diff --git a/src/boost/libs/numeric/odeint/examples/2d_lattice/vector_vector_resize.hpp b/src/boost/libs/numeric/odeint/examples/2d_lattice/vector_vector_resize.hpp new file mode 100644 index 000000000..7132aa59d --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/2d_lattice/vector_vector_resize.hpp @@ -0,0 +1,105 @@ +/* + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) + */ + + +/* reserved vector */ + +#ifndef VECTOR_VECTOR_RESIZE_HPP +#define VECTOR_VECTOR_RESIZE_HPP + +#include <vector> + +#include <boost/range.hpp> + +namespace boost { namespace numeric { namespace odeint { + +template<> +struct is_resizeable< std::vector< std::vector< double > > > +{ + typedef boost::true_type type; + const static bool value = type::value; +}; + +template<> +struct same_size_impl< std::vector< std::vector< double > > , std::vector< std::vector< double > > > +{ + typedef std::vector< std::vector< double > > state_type; + + static bool same_size( const state_type &x1 , + const state_type &x2 ) + { + bool same = ( boost::size( x1 ) == boost::size( x2 ) ); + if( !same ) + return false; + typename state_type::const_iterator begin1 = boost::begin( x1 ); + typename state_type::const_iterator begin2 = boost::begin( x2 ); + while( begin1 != boost::end( x1 ) ) + same &= ( boost::size( *begin1++ ) == boost::size( *begin2++ ) ); + return same; + } +}; + +template<> +struct resize_impl< std::vector< std::vector< double > > , std::vector< std::vector< double > > > +{ + typedef std::vector< std::vector< double > > state_type; + + static void resize( state_type &x1 , const state_type &x2 ) + { + x1.resize( boost::size( x2 ) ); + typename state_type::iterator begin1 = boost::begin( x1 ); + typename state_type::const_iterator begin2 = boost::begin( x2 ); + while( begin1 != boost::end( x1 ) ) + (*begin1++).resize( boost::size( *begin2++ ) ); + } +}; + +template<> +struct state_wrapper< std::vector< std::vector< double > > > +{ + typedef std::vector< std::vector< double > > state_type; + typedef state_wrapper< state_type > state_wrapper_type; + typedef boost::true_type is_resizeable; + + state_type m_v; + + template< class State > + bool same_size( const State &x ) + { + bool same = ( boost::size( m_v ) == boost::size( x ) ); + if( !same ) + return false; + typename state_type::iterator begin1 = boost::begin( m_v ); + typename State::const_iterator begin2 = boost::begin( x ); + while( begin1 != boost::end( m_v ) ) + same &= ( boost::size( *begin1++ ) == boost::size( *begin2++ ) ); + return same; + } + + template< class State > + bool resize( const State &x ) + { + if( !same_size( x ) ) + { + m_v.resize( boost::size( x ) ); + typename state_type::iterator begin1 = boost::begin( m_v ); + typename State::const_iterator begin2 = boost::begin( x ); + while( begin1 != boost::end( m_v ) ) + (*begin1++).resize( boost::size( *begin2++ ) ); + + return true; + } else + return false; + } + +}; + +} } } + +#endif diff --git a/src/boost/libs/numeric/odeint/examples/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/Jamfile.v2 new file mode 100644 index 000000000..11813c847 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/Jamfile.v2 @@ -0,0 +1,51 @@ +# Copyright 2009-2013 Karsten Ahnert +# Copyright 2010-2013 Mario Mulansky +# Copyright 2013 Pascal Germroth +# 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) + + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + : + ; + + +exe harmonic_oscillator : harmonic_oscillator.cpp ; +exe solar_system : solar_system.cpp ; +exe chaotic_system : chaotic_system.cpp ; +exe stiff_system : stiff_system.cpp ; +exe fpu : fpu.cpp ; +exe phase_oscillator_ensemble : phase_oscillator_ensemble.cpp ; +exe harmonic_oscillator_units : harmonic_oscillator_units.cpp : <toolset>clang:<build>no ; +exe stuart_landau : stuart_landau.cpp ; +exe two_dimensional_phase_lattice : two_dimensional_phase_lattice.cpp ; +exe bulirsch_stoer : bulirsch_stoer.cpp ; +exe elliptic_functions : elliptic_functions.cpp ; +exe resizing_lattice : resizing_lattice.cpp ; +exe list_lattice : list_lattice.cpp ; +exe stepper_details : stepper_details.cpp ; +exe my_vector : my_vector.cpp ; +exe lorenz : lorenz.cpp ; +exe lorenz_point : lorenz_point.cpp ; +exe van_der_pol_stiff : van_der_pol_stiff.cpp ; +exe simple1d : simple1d.cpp ; +exe stochastic_euler : stochastic_euler.cpp ; +exe generation_functions : generation_functions.cpp ; +exe heun : heun.cpp ; +exe bind_member_functions : bind_member_functions.cpp ; +exe bind_member_functions_cpp11 : bind_member_functions_cpp11.cpp : <cxxflags>-std=c++0x ; +exe molecular_dynamics : molecular_dynamics.cpp : <cxxflags>-std=c++0x ; +exe molecular_dynamics_cells : molecular_dynamics_cells.cpp : <cxxflags>-std=c++0x ; +exe abm_precision : abm_precision.cpp ; +exe integrate_times : integrate_times.cpp ; +exe find_crossing : find_crossing.cpp : <cxxflags>-std=c++0x ; + +build-project multiprecision ; +# build-project mtl ; +# build-project ublas ; +# build-project gmpxx ; +# build-project openmp ; +# build-project mpi ; diff --git a/src/boost/libs/numeric/odeint/examples/abm_precision.cpp b/src/boost/libs/numeric/odeint/examples/abm_precision.cpp new file mode 100644 index 000000000..747919f32 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/abm_precision.cpp @@ -0,0 +1,84 @@ +/* + * abm_precision.cpp + * + * example to check the order of the multi-step methods + * + * Copyright 2009-2013 Karsten Ahnert + * Copyright 2009-2013 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 <boost/array.hpp> +#include <boost/numeric/odeint.hpp> + +using namespace boost::numeric::odeint; + +const int Steps = 4; + +typedef double value_type; + +typedef boost::array< double , 2 > state_type; + +typedef runge_kutta_fehlberg78<state_type> initializing_stepper_type; +typedef adams_bashforth_moulton< Steps , state_type > stepper_type; +//typedef adams_bashforth< Steps , state_type > stepper_type; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc +{ + void operator()( const state_type &x , state_type &dxdt , const double t ) const + { + dxdt[0] = x[1]; + dxdt[1] = -x[0]; + } +}; + +int main() +{ + stepper_type stepper; + initializing_stepper_type init_stepper; + const int o = stepper.order()+1; //order of the error is order of approximation + 1 + + const state_type x0 = {{ 0.0 , 1.0 }}; + state_type x1 = x0; + double t = 0.0; + double dt = 0.25; + // initialization, does a number of steps already to fill internal buffer, t is increased + // we use the rk78 as initializing stepper + stepper.initialize( boost::ref(init_stepper) , osc() , x1 , t , dt ); + // do a number of steps to fill the buffer with results from adams bashforth + for( size_t n=0 ; n < stepper.steps ; ++n ) + { + stepper.do_step( osc() , x1 , t , dt ); + t += dt; + } + double A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + double phi = std::asin(x1[0]/A) - t; + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + // only examine the error of the adams-bashforth-moulton step, not the initialization + const double f = 2.0 * std::abs( A*sin(t+dt+phi) - x1[0] ) / std::pow( dt , o ); // upper bound + + std::cout << "# " << o << " , " << f << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + x1 = x0; + t = 0.0; + stepper.initialize( boost::ref(init_stepper) , osc() , x1 , t , dt ); + A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + phi = std::asin(x1[0]/A) - t; + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + // only examine the error of the adams-bashforth-moulton step, not the initialization + std::cout << dt << '\t' << std::abs( A*sin(t+dt+phi) - x1[0] ) << std::endl; + dt *= 0.5; + } +} diff --git a/src/boost/libs/numeric/odeint/examples/adaptive_iterator.cpp b/src/boost/libs/numeric/odeint/examples/adaptive_iterator.cpp new file mode 100644 index 000000000..343699de3 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/adaptive_iterator.cpp @@ -0,0 +1,361 @@ +/* + * adaptive_iterator.cpp + * + * Copyright 2012-2013 Karsten Ahnert + * Copyright 2012 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 <iterator> +#include <utility> +#include <algorithm> +#include <cassert> + +#include <boost/array.hpp> + +#include <boost/range/algorithm.hpp> +#include <boost/range/adaptor/filtered.hpp> +#include <boost/range/numeric.hpp> + +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp> +#include <boost/numeric/odeint/stepper/generation.hpp> + +#include <boost/numeric/odeint/iterator/adaptive_iterator.hpp> +#include <boost/numeric/odeint/iterator/adaptive_time_iterator.hpp> + +#define tab "\t" + +using namespace std; +using namespace boost::numeric::odeint; + +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +struct lorenz +{ + template< class State , class Deriv > + void operator()( const State &x , Deriv &dxdt , double t ) const + { + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; + +#include <typeinfo> + +int main( int argc , char **argv ) +{ + typedef boost::array< double , 3 > state_type; + + /* + * Controlled steppers with time iterator + */ + + // std::for_each + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + std::for_each( make_adaptive_time_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_time_iterator_end( stepper , lorenz() , x ) , + []( const std::pair< const state_type&, double > &x ) { + std::cout << x.second << tab << x.first[0] << tab << x.first[1] << tab << x.first[2] << "\n"; } ); + } + + // std::copy_if + { + std::vector< pair< state_type , double > > res; + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + std::copy_if( make_adaptive_time_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_time_iterator_end( stepper , lorenz() , x ) , + std::back_inserter( res ) , + []( const pair< const state_type& , double > &x ) { + return ( x.first[0] > 0.0 ) ? true : false; } ); + for( size_t i=0 ; i<res.size() ; ++i ) + cout << res[i].first[0] << tab << res[i].first[1] << tab << res[i].first[2] << "\n"; + } + + // std::accumulate + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + double res = std::accumulate( make_adaptive_time_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_time_iterator_end( stepper , lorenz() , x ) , + 0.0 , + []( double sum , const pair< const state_type& , double > &x ) { + return sum + x.first[0]; } ); + cout << res << endl; + } + + + // std::transform + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + vector< double > weights; + std::transform( make_adaptive_time_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_time_iterator_end( stepper , lorenz() , x ) , + back_inserter( weights ) , + []( const pair< const state_type& , double > &x ) { + return sqrt( x.first[0] * x.first[0] + x.first[1] * x.first[1] + x.first[2] * x.first[2] ); } ); + for( size_t i=0 ; i<weights.size() ; ++i ) + cout << weights[i] << "\n"; + } + + + + + + + + + + + + + + /* + * Boost.Range versions of controlled stepper with time iterator + */ + + + // boost::range::for_each + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::for_each( make_adaptive_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const std::pair< const state_type& , double > &x ) { + std::cout << x.second << tab << x.first[0] << tab << x.first[1] << tab << x.first[2] << "\n"; } ); + } + + + // boost::range::copy with filtered adaptor (simulating std::copy_if) + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + std::vector< std::pair< state_type , double > > res; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::copy( make_adaptive_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) | + boost::adaptors::filtered( [] ( const pair< const state_type& , double > &x ) { return ( x.first[0] > 0.0 ); } ) , + std::back_inserter( res ) ); + for( size_t i=0 ; i<res.size() ; ++i ) + cout << res[i].first[0] << tab << res[i].first[1] << tab << res[i].first[2] << "\n"; + } + + // boost::range::accumulate + { + //[adaptive_time_iterator_accumulate_range + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + double res = boost::accumulate( make_adaptive_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , 0.0 , + []( double sum , const pair< const state_type& , double > &x ) { + return sum + x.first[0]; } ); + cout << res << endl; + //] + } + + + // boost::range::transform + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + vector< double > weights; + boost::transform( make_adaptive_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , back_inserter( weights ) , + []( const pair< const state_type& , double > &x ) { + return sqrt( x.first[0] * x.first[0] + x.first[1] * x.first[1] + x.first[2] * x.first[2] ); } ); + for( size_t i=0 ; i<weights.size() ; ++i ) + cout << weights[i] << "\n"; + } + + + // boost::range::find with time iterator + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + auto iter = boost::find_if( make_adaptive_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const std::pair< const state_type & , double > &x ) { + return ( x.first[0] < 0.0 ); } ); + cout << iter->second << "\t" << iter->first[0] << "\t" << iter->first[1] << "\t" << iter->first[2] << "\n"; + } + + + + + + + + + + + + + // /* + // * Boost.Range versions for dense output steppers + // */ + + // // boost::range::for_each + // { + // runge_kutta_dopri5< state_type > stepper; + // state_type x = {{ 10.0 , 10.0 , 10.0 }}; + // boost::range::for_each( make_adaptive_range( make_dense_output( 1.0e-6 , 1.0e-6 , stepper ) , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + // []( const state_type &x ) { + // std::cout << x[0] << tab << x[1] << tab << x[2] << "\n"; } ); + // } + + + // // boost::range::for_each with time iterator + // { + // runge_kutta_dopri5< state_type > stepper; + // state_type x = {{ 10.0 , 10.0 , 10.0 }}; + // boost::range::for_each( make_adaptive_time_range( make_dense_output( 1.0e-6 , 1.0e-6 , stepper ) , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + // []( const std::pair< state_type& , double > &x ) { + // std::cout << x.second << tab << x.first[0] << tab << x.first[1] << tab << x.first[2] << "\n"; } ); + + // } + + + + + + /* + * Pure iterators for controlled stepper without time iterator + */ + + // std::for_each + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + std::for_each( make_adaptive_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_iterator_end( stepper , lorenz() , x ) , + []( const state_type& x ) { + std::cout << x[0] << tab << x[1] << tab << x[2] << "\n"; } ); + } + + // std::copy_if + { + std::vector< state_type > res; + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + std::copy_if( make_adaptive_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_iterator_end( stepper , lorenz() , x ) , + std::back_inserter( res ) , + []( const state_type& x ) { + return ( x[0] > 0.0 ) ? true : false; } ); + for( size_t i=0 ; i<res.size() ; ++i ) + cout << res[i][0] << tab << res[i][1] << tab << res[i][2] << "\n"; + } + + // std::accumulate + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + double res = std::accumulate( make_adaptive_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_iterator_end( stepper , lorenz() , x ) , + 0.0 , + []( double sum , const state_type& x ) { + return sum + x[0]; } ); + cout << res << endl; + } + + + // std::transform + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + vector< double > weights; + std::transform( make_adaptive_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_adaptive_iterator_end( stepper , lorenz() , x ) , + back_inserter( weights ) , + []( const state_type& x ) { + return sqrt( x[0] * x[0] + x[1] * x[1] + x[2] * x[2] ); } ); + for( size_t i=0 ; i<weights.size() ; ++i ) + cout << weights[i] << "\n"; + } + + + + + + + + + + + /* + * Boost.Range versions of controlled stepper WITHOUT time iterator + */ + + + // boost::range::for_each + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::for_each( make_adaptive_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const state_type &x ) { + std::cout << x[0] << tab << x[1] << tab << x[2] << "\n"; } ); + } + + + // boost::range::copy with filtered adaptor (simulating std::copy_if) + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + std::vector< state_type > res; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::copy( make_adaptive_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) | + boost::adaptors::filtered( [] ( const state_type& x ) { return ( x[0] > 0.0 ); } ) , + std::back_inserter( res ) ); + for( size_t i=0 ; i<res.size() ; ++i ) + cout << res[i][0] << tab << res[i][1] << tab << res[i][2] << "\n"; + } + + // boost::range::accumulate + { + //[adaptive_iterator_accumulate_range + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + double res = boost::accumulate( make_adaptive_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , 0.0 , + []( double sum , const state_type& x ) { + return sum + x[0]; } ); + cout << res << endl; + //] + } + + + // boost::range::transform + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + vector< double > weights; + boost::transform( make_adaptive_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , back_inserter( weights ) , + []( const state_type& x ) { + return sqrt( x[0] * x[0] + x[1] * x[1] + x[2] * x[2] ); } ); + for( size_t i=0 ; i<weights.size() ; ++i ) + cout << weights[i] << "\n"; + } + + + // boost::range::find + { + auto stepper = make_controlled( 1.0e-6 , 1.0e-6 , runge_kutta_cash_karp54< state_type >() ); + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + auto iter = boost::find_if( make_adaptive_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const state_type &x ) { + return ( x[0] < 0.0 ); } ); + cout << (*iter)[0] << "\t" << (*iter)[1] << "\t" << (*iter)[2] << "\n"; + } + + + + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/bind_member_functions.cpp b/src/boost/libs/numeric/odeint/examples/bind_member_functions.cpp new file mode 100644 index 000000000..51f85e033 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/bind_member_functions.cpp @@ -0,0 +1,126 @@ +/* + [auto_generated] + libs/numeric/odeint/examples/bind_member_functions.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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 <boost/numeric/odeint.hpp> + +namespace odeint = boost::numeric::odeint; + +typedef boost::array< double , 3 > state_type; + +//[ ode_wrapper +template< class Obj , class Mem > +class ode_wrapper +{ + Obj m_obj; + Mem m_mem; + +public: + + ode_wrapper( Obj obj , Mem mem ) : m_obj( obj ) , m_mem( mem ) { } + + template< class State , class Deriv , class Time > + void operator()( const State &x , Deriv &dxdt , Time t ) + { + (m_obj.*m_mem)( x , dxdt , t ); + } +}; + +template< class Obj , class Mem > +ode_wrapper< Obj , Mem > make_ode_wrapper( Obj obj , Mem mem ) +{ + return ode_wrapper< Obj , Mem >( obj , mem ); +} +//] + + +template< class Obj , class Mem > +class observer_wrapper +{ + Obj m_obj; + Mem m_mem; + +public: + + observer_wrapper( Obj obj , Mem mem ) : m_obj( obj ) , m_mem( mem ) { } + + template< class State , class Time > + void operator()( const State &x , Time t ) + { + (m_obj.*m_mem)( x , t ); + } +}; + +template< class Obj , class Mem > +observer_wrapper< Obj , Mem > make_observer_wrapper( Obj obj , Mem mem ) +{ + return observer_wrapper< Obj , Mem >( obj , mem ); +} + + + +//[ bind_member_function +struct lorenz +{ + void ode( const state_type &x , state_type &dxdt , double t ) const + { + dxdt[0] = 10.0 * ( x[1] - x[0] ); + dxdt[1] = 28.0 * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -8.0 / 3.0 * x[2] + x[0] * x[1]; + } +}; + +int main( int argc , char *argv[] ) +{ + using namespace boost::numeric::odeint; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + integrate_const( runge_kutta4< state_type >() , make_ode_wrapper( lorenz() , &lorenz::ode ) , + x , 0.0 , 10.0 , 0.01 ); + return 0; +} +//] + + +/* +struct lorenz +{ + void ode( const state_type &x , state_type &dxdt , double t ) const + { + dxdt[0] = 10.0 * ( x[1] - x[0] ); + dxdt[1] = 28.0 * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -8.0 / 3.0 * x[2] + x[0] * x[1]; + } + + void obs( const state_type &x , double t ) const + { + std::cout << t << " " << x[0] << " " << x[1] << " " << x[2] << "\n"; + } +}; + +int main( int argc , char *argv[] ) +{ + using namespace boost::numeric::odeint; + + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + integrate_const( runge_kutta4< state_type >() , + make_ode_wrapper( lorenz() , &lorenz::ode ) , + x , 0.0 , 10.0 , 0.01 , + make_observer_wrapper( lorenz() , &lorenz::obs ) ); + + return 0; +} +*/ diff --git a/src/boost/libs/numeric/odeint/examples/bind_member_functions_cpp11.cpp b/src/boost/libs/numeric/odeint/examples/bind_member_functions_cpp11.cpp new file mode 100644 index 000000000..177dded7a --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/bind_member_functions_cpp11.cpp @@ -0,0 +1,56 @@ +/* + [auto_generated] + libs/numeric/odeint/examples/bind_member_functions.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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 <array> +#include <type_traits> + +#include <boost/numeric/odeint.hpp> + +namespace odeint = boost::numeric::odeint; + + + +typedef std::array< double , 3 > state_type; + +struct lorenz +{ + void ode( const state_type &x , state_type &dxdt , double t ) const + { + const double sigma = 10.0; + const double R = 28.0; + const double b = 8.0 / 3.0; + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; + +int main( int argc , char *argv[] ) +{ + using namespace boost::numeric::odeint; + //[ bind_member_function_cpp11 + namespace pl = std::placeholders; + + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + integrate_const( runge_kutta4< state_type >() , + std::bind( &lorenz::ode , lorenz() , pl::_1 , pl::_2 , pl::_3 ) , + x , 0.0 , 10.0 , 0.01 ); + //] + return 0; +} + diff --git a/src/boost/libs/numeric/odeint/examples/bulirsch_stoer.cpp b/src/boost/libs/numeric/odeint/examples/bulirsch_stoer.cpp new file mode 100644 index 000000000..0b18f46e9 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/bulirsch_stoer.cpp @@ -0,0 +1,100 @@ +/* + * bulirsch_stoer.cpp + * + * Copyright 2011-2013 Mario Mulansky + * Copyright 2011-2012 Karsten Ahnert + * + * 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 <fstream> +#define _USE_MATH_DEFINES +#include <cmath> + +#include <boost/array.hpp> +#include <boost/ref.hpp> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +typedef boost::array< double , 1 > state_type; + +/* + * x' = ( - x*sin t + 2 tan x ) y + * with x( pi/6 ) = 2/sqrt(3) the analytic solution is 1/cos t + */ + +void rhs( const state_type &x , state_type &dxdt , const double t ) +{ + dxdt[0] = ( - x[0] * sin( t ) + 2.0 * tan( t ) ) * x[0]; +} + +void rhs2( const state_type &x , state_type &dxdt , const double t ) +{ + dxdt[0] = sin(t); +} + + +ofstream out; + +void write_out( const state_type &x , const double t ) +{ + out << t << '\t' << x[0] << endl; +} + +int main() +{ + bulirsch_stoer_dense_out< state_type > stepper( 1E-8 , 0.0 , 0.0 , 0.0 ); + bulirsch_stoer< state_type > stepper2( 1E-8 , 0.0 , 0.0 , 0.0 ); + + state_type x = {{ 2.0 / sqrt(3.0) }}; + + double t = M_PI/6.0; + //double t = 0.0; + double dt = 0.01; + double t_end = M_PI/2.0 - 0.1; + //double t_end = 100.0; + + out.open( "bs.dat" ); + out.precision(16); + integrate_const( stepper , rhs , x , t , t_end , dt , write_out ); + out.close(); + + x[0] = 2.0 / sqrt(3.0); + + out.open( "bs2.dat" ); + out.precision(16); + integrate_adaptive( stepper , rhs , x , t , t_end , dt , write_out ); + out.close(); + + x[0] = 2.0 / sqrt(3.0); + + out.open( "bs3.dat" ); + out.precision(16); + integrate_adaptive( stepper2 , rhs , x , t , t_end , dt , write_out ); + out.close(); + + + typedef runge_kutta_dopri5< state_type > dopri5_type; + typedef controlled_runge_kutta< dopri5_type > controlled_dopri5_type; + typedef dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type; + + dense_output_dopri5_type dopri5 = make_dense_output( 1E-9 , 1E-9 , dopri5_type() ); + + x[0] = 2.0 / sqrt(3.0); + + out.open( "bs4.dat" ); + out.precision(16); + integrate_adaptive( dopri5 , rhs , x , t , t_end , dt , write_out ); + out.close(); + +} diff --git a/src/boost/libs/numeric/odeint/examples/chaotic_system.cpp b/src/boost/libs/numeric/odeint/examples/chaotic_system.cpp new file mode 100644 index 000000000..607846898 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/chaotic_system.cpp @@ -0,0 +1,119 @@ +/* + * chaotic_system.cpp + * + * This example demonstrates how one can use odeint to determine the Lyapunov + * exponents of a chaotic system namely the well known Lorenz system. Furthermore, + * it shows how odeint interacts with boost.range. + * + * 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 <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + +#include "gram_schmidt.hpp" + +using namespace std; +using namespace boost::numeric::odeint; + + +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +//[ system_function_without_perturbations +struct lorenz +{ + template< class State , class Deriv > + void operator()( const State &x_ , Deriv &dxdt_ , double t ) const + { + typename boost::range_iterator< const State >::type x = boost::begin( x_ ); + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; +//] + + + +//[ system_function_with_perturbations +const size_t n = 3; +const size_t num_of_lyap = 3; +const size_t N = n + n*num_of_lyap; + +typedef boost::array< double , N > state_type; +typedef boost::array< double , num_of_lyap > lyap_type; + +void lorenz_with_lyap( const state_type &x , state_type &dxdt , double t ) +{ + lorenz()( x , dxdt , t ); + + for( size_t l=0 ; l<num_of_lyap ; ++l ) + { + const double *pert = x.begin() + 3 + l * 3; + double *dpert = dxdt.begin() + 3 + l * 3; + dpert[0] = - sigma * pert[0] + 10.0 * pert[1]; + dpert[1] = ( R - x[2] ) * pert[0] - pert[1] - x[0] * pert[2]; + dpert[2] = x[1] * pert[0] + x[0] * pert[1] - b * pert[2]; + } +} +//] + + + + + +int main( int argc , char **argv ) +{ + state_type x; + lyap_type lyap; + + fill( x.begin() , x.end() , 0.0 ); + x[0] = 10.0 ; x[1] = 10.0 ; x[2] = 5.0; + + const double dt = 0.01; + + //[ integrate_transients_with_range + // explicitly choose range_algebra to override default choice of array_algebra + runge_kutta4< state_type , double , state_type , double , range_algebra > rk4; + + // perform 10000 transient steps + integrate_n_steps( rk4 , lorenz() , std::make_pair( x.begin() , x.begin() + n ) , 0.0 , dt , 10000 ); + //] + + //[ lyapunov_full_code + fill( x.begin()+n , x.end() , 0.0 ); + for( size_t i=0 ; i<num_of_lyap ; ++i ) x[n+n*i+i] = 1.0; + fill( lyap.begin() , lyap.end() , 0.0 ); + + double t = 0.0; + size_t count = 0; + while( true ) + { + + t = integrate_n_steps( rk4 , lorenz_with_lyap , x , t , dt , 100 ); + gram_schmidt< num_of_lyap >( x , lyap , n ); + ++count; + + if( !(count % 100000) ) + { + cout << t; + for( size_t i=0 ; i<num_of_lyap ; ++i ) cout << "\t" << lyap[i] / t ; + cout << endl; + } + } + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/const_step_iterator.cpp b/src/boost/libs/numeric/odeint/examples/const_step_iterator.cpp new file mode 100644 index 000000000..fc393037e --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/const_step_iterator.cpp @@ -0,0 +1,296 @@ +/* + * const_step_iterator.cpp + * + * Copyright 2012-2013 Karsten Ahnert + * Copyright 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) + * + * several examples for using iterators + */ + + +#include <iostream> +#include <iterator> +#include <utility> +#include <algorithm> +#include <array> +#include <cassert> + +#include <boost/range/algorithm.hpp> +#include <boost/range/adaptor/filtered.hpp> +#include <boost/range/numeric.hpp> + +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/generation.hpp> +#include <boost/numeric/odeint/iterator/const_step_iterator.hpp> +#include <boost/numeric/odeint/iterator/const_step_time_iterator.hpp> + +#define tab "\t" + +using namespace std; +using namespace boost::numeric::odeint; + +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +struct lorenz +{ + template< class State , class Deriv > + void operator()( const State &x , Deriv &dxdt , double t ) const + { + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; + + + +int main( int argc , char **argv ) +{ + typedef std::array< double , 3 > state_type; + + // std::for_each + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + std::for_each( make_const_step_time_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_const_step_time_iterator_end( stepper , lorenz() , x ) , + []( const std::pair< const state_type&, double > &x ) { + std::cout << x.second << tab << x.first[0] << tab << x.first[1] << tab << x.first[2] << "\n"; } ); + } + + // std::copy_if + { + std::vector< state_type > res; + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + std::copy_if( make_const_step_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_const_step_iterator_end( stepper , lorenz() , x ) , + std::back_inserter( res ) , + []( const state_type& x ) { + return ( x[0] > 0.0 ) ? true : false; } ); + for( size_t i=0 ; i<res.size() ; ++i ) + cout << res[i][0] << tab << res[i][1] << tab << res[i][2] << "\n"; + } + + // std::accumulate + { + //[ const_step_iterator_accumulate + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + double res = std::accumulate( make_const_step_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_const_step_iterator_end( stepper , lorenz() , x ) , + 0.0 , + []( double sum , const state_type &x ) { + return sum + x[0]; } ); + cout << res << endl; + //] + } + + + // std::transform + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + vector< double > weights; + std::transform( make_const_step_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_const_step_iterator_end( stepper , lorenz() , x ) , + back_inserter( weights ) , + []( const state_type &x ) { + return sqrt( x[0] * x[0] + x[1] * x[1] + x[2] * x[2] ); } ); + for( size_t i=0 ; i<weights.size() ; ++i ) + cout << weights[i] << "\n"; + } + + + + // std::transform with time_iterator + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + vector< double > weights; + std::transform( make_const_step_time_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + make_const_step_time_iterator_end( stepper , lorenz() , x ) , + back_inserter( weights ) , + []( const std::pair< const state_type &, double > &x ) { + return sqrt( x.first[0] * x.first[0] + x.first[1] * x.first[1] + x.first[2] * x.first[2] ); } ); + for( size_t i=0 ; i<weights.size() ; ++i ) + cout << weights[i] << "\n"; + } + + + + + + + + + + + // /* + // * Boost.Range versions + // */ + + + // boost::range::for_each + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::for_each( make_const_step_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const state_type &x ) { + std::cout << x[0] << tab << x[1] << tab << x[2] << "\n"; } ); + } + + // boost::range::for_each with time iterator + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::for_each( make_const_step_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const std::pair< const state_type& , double > &x ) { + std::cout << x.second << tab << x.first[0] << tab << x.first[1] << tab << x.first[2] << "\n"; } ); + } + + + // boost::range::copy with filtered adaptor (simulating std::copy_if) + { + std::vector< state_type > res; + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::copy( make_const_step_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) | + boost::adaptors::filtered( [] ( const state_type &x ) { return ( x[0] > 0.0 ); } ) , + std::back_inserter( res ) ); + for( size_t i=0 ; i<res.size() ; ++i ) + cout << res[i][0] << tab << res[i][1] << tab << res[i][2] << "\n"; + } + + // boost::range::accumulate + { + //[const_step_iterator_accumulate_range + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + double res = boost::accumulate( make_const_step_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , 0.0 , + []( double sum , const state_type &x ) { + return sum + x[0]; } ); + cout << res << endl; + //] + } + + // boost::range::accumulate with time iterator + { + //[const_step_time_iterator_accumulate_range + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + double res = boost::accumulate( make_const_step_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , 0.0 , + []( double sum , const std::pair< const state_type &, double > &x ) { + return sum + x.first[0]; } ); + cout << res << endl; + //] + } + + + // boost::range::transform + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + vector< double > weights; + boost::transform( make_const_step_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , back_inserter( weights ) , + []( const state_type &x ) { + return sqrt( x[0] * x[0] + x[1] * x[1] + x[2] * x[2] ); } ); + for( size_t i=0 ; i<weights.size() ; ++i ) + cout << weights[i] << "\n"; + } + + + // boost::range::find with time iterator + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + auto iter = boost::find_if( make_const_step_time_range( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const std::pair< const state_type & , double > &x ) { + return ( x.first[0] < 0.0 ); } ); + cout << iter->second << "\t" << iter->first[0] << "\t" << iter->first[1] << "\t" << iter->first[2] << "\n"; + + } + + + + + + + + + + + + + /* + * Boost.Range versions for dense output steppers + */ + + // boost::range::for_each + { + runge_kutta_dopri5< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::for_each( make_const_step_range( make_dense_output( 1.0e-6 , 1.0e-6 , stepper ) , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const state_type &x ) { + std::cout << x[0] << tab << x[1] << tab << x[2] << "\n"; } ); + } + + + // boost::range::for_each with time iterator + { + runge_kutta_dopri5< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + boost::range::for_each( make_const_step_time_range( make_dense_output( 1.0e-6 , 1.0e-6 , stepper ) , lorenz() , x , 0.0 , 1.0 , 0.01 ) , + []( const std::pair< const state_type& , double > &x ) { + std::cout << x.second << tab << x.first[0] << tab << x.first[1] << tab << x.first[2] << "\n"; } ); + + } + + + + + + /* + * Pure iterators + */ + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + auto first = make_const_step_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ); + auto last = make_const_step_iterator_end( stepper , lorenz() , x ); + while( first != last ) + { + assert( last != first ); + cout << (*first)[0] << tab << (*first)[1] << tab << (*first)[2] << "\n"; + ++first; + } + } + + { + runge_kutta4< state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + auto first = make_const_step_time_iterator_begin( stepper , lorenz() , x , 0.0 , 1.0 , 0.01 ); + auto last = make_const_step_time_iterator_end( stepper , lorenz() , x ); + while( first != last ) + { + assert( last != first ); + cout << first->second << tab << first->first[0] << tab << first->first[1] << tab << first->first[2] << "\n"; + ++first; + } + } + + + + + + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/elliptic.py b/src/boost/libs/numeric/odeint/examples/elliptic.py new file mode 100644 index 000000000..9f5f1d45c --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/elliptic.py @@ -0,0 +1,31 @@ +""" + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + Stochastic euler stepper example and Ornstein-Uhlenbeck process + + 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) +""" + + +from pylab import * +from scipy import special + +data1 = loadtxt("elliptic1.dat") +data2 = loadtxt("elliptic2.dat") +data3 = loadtxt("elliptic3.dat") + +sn1,cn1,dn1,phi1 = special.ellipj( data1[:,0] , 0.51 ) +sn2,cn2,dn2,phi2 = special.ellipj( data2[:,0] , 0.51 ) +sn3,cn3,dn3,phi3 = special.ellipj( data3[:,0] , 0.51 ) + +semilogy( data1[:,0] , abs(data1[:,1]-sn1) ) +semilogy( data2[:,0] , abs(data2[:,1]-sn2) , 'ro' ) +semilogy( data3[:,0] , abs(data3[:,1]-sn3) , '--' ) + +show() + + + diff --git a/src/boost/libs/numeric/odeint/examples/elliptic_functions.cpp b/src/boost/libs/numeric/odeint/examples/elliptic_functions.cpp new file mode 100644 index 000000000..97ba59da5 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/elliptic_functions.cpp @@ -0,0 +1,89 @@ +/* + * elliptic_functions.cpp + * + * Copyright 2011-2013 Mario Mulansky + * Copyright 2011-2012 Karsten Ahnert + * + * 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 <fstream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +typedef boost::array< double , 3 > state_type; + +/* + * x1' = x2*x3 + * x2' = -x1*x3 + * x3' = -m*x1*x2 + */ + +void rhs( const state_type &x , state_type &dxdt , const double t ) +{ + static const double m = 0.51; + + dxdt[0] = x[1]*x[2]; + dxdt[1] = -x[0]*x[2]; + dxdt[2] = -m*x[0]*x[1]; +} + +ofstream out; + +void write_out( const state_type &x , const double t ) +{ + out << t << '\t' << x[0] << '\t' << x[1] << '\t' << x[2] << endl; +} + +int main() +{ + bulirsch_stoer_dense_out< state_type > stepper( 1E-9 , 1E-9 , 1.0 , 0.0 ); + + state_type x1 = {{ 0.0 , 1.0 , 1.0 }}; + + double t = 0.0; + double dt = 0.01; + + out.open( "elliptic1.dat" ); + out.precision(16); + integrate_const( stepper , rhs , x1 , t , 100.0 , dt , write_out ); + out.close(); + + state_type x2 = {{ 0.0 , 1.0 , 1.0 }}; + + out.open( "elliptic2.dat" ); + out.precision(16); + integrate_adaptive( stepper , rhs , x2 , t , 100.0 , dt , write_out ); + out.close(); + + typedef runge_kutta_dopri5< state_type > dopri5_type; + typedef controlled_runge_kutta< dopri5_type > controlled_dopri5_type; + typedef dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type; + + + dense_output_dopri5_type dopri5 = make_dense_output( 1E-9 , 1E-9 , dopri5_type() ); + //dense_output_dopri5_type dopri5( controlled_dopri5_type( default_error_checker< double >( 1E-9 , 0.0 , 0.0 , 0.0 ) ) ); + + state_type x3 = {{ 0.0 , 1.0 , 1.0 }}; + + out.open( "elliptic3.dat" ); + out.precision(16); + integrate_adaptive( dopri5 , rhs , x3 , t , 100.0 , dt , write_out ); + out.close(); +} diff --git a/src/boost/libs/numeric/odeint/examples/find_crossing.cpp b/src/boost/libs/numeric/odeint/examples/find_crossing.cpp new file mode 100644 index 000000000..a17ef4f97 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/find_crossing.cpp @@ -0,0 +1,134 @@ +/* + * find_crossing.cpp + * + * Finds the energy threshold crossing for a damped oscillator. + * The algorithm uses a dense out stepper with find_if to first find an + * interval containing the threshold crossing and the utilizes the dense out + * functionality with a bisection to further refine the interval until some + * desired precision is reached. + * + * Copyright 2015 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 <utility> +#include <algorithm> +#include <array> + +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/generation.hpp> +#include <boost/numeric/odeint/iterator/adaptive_iterator.hpp> + +namespace odeint = boost::numeric::odeint; + +typedef std::array<double, 2> state_type; + +const double gam = 1.0; // damping strength + +void damped_osc(const state_type &x, state_type &dxdt, const double /*t*/) +{ + dxdt[0] = x[1]; + dxdt[1] = -x[0] - gam * x[1]; +} + + +struct energy_condition { + + // defines the threshold crossing in terms of a boolean functor + + double m_min_energy; + + energy_condition(const double min_energy) + : m_min_energy(min_energy) { } + + double energy(const state_type &x) { + return 0.5 * x[1] * x[1] + 0.5 * x[0] * x[0]; + } + + bool operator()(const state_type &x) { + // becomes true if the energy becomes smaller than the threshold + return energy(x) <= m_min_energy; + } +}; + + +template<class System, class Condition> +std::pair<double, state_type> +find_condition(state_type &x0, System sys, Condition cond, + const double t_start, const double t_end, const double dt, + const double precision = 1E-6) { + + // integrates an ODE until some threshold is crossed + // returns time and state at the point of the threshold crossing + // if no threshold crossing is found, some time > t_end is returned + + auto stepper = odeint::make_dense_output(1.0e-6, 1.0e-6, + odeint::runge_kutta_dopri5<state_type>()); + + auto ode_range = odeint::make_adaptive_range(std::ref(stepper), sys, x0, + t_start, t_end, dt); + + // find the step where the condition changes + auto found_iter = std::find_if(ode_range.first, ode_range.second, cond); + + if(found_iter == ode_range.second) + { + // no threshold crossing -> return time after t_end and ic + return std::make_pair(t_end + dt, x0); + } + + // the dense out stepper now covers the interval where the condition changes + // improve the solution by bisection + double t0 = stepper.previous_time(); + double t1 = stepper.current_time(); + double t_m; + state_type x_m; + // use odeint's resizing functionality to allocate memory for x_m + odeint::adjust_size_by_resizeability(x_m, x0, + typename odeint::is_resizeable<state_type>::type()); + while(std::abs(t1 - t0) > precision) { + t_m = 0.5 * (t0 + t1); // get the mid point time + stepper.calc_state(t_m, x_m); // obtain the corresponding state + if (cond(x_m)) + t1 = t_m; // condition changer lies before midpoint + else + t0 = t_m; // condition changer lies after midpoint + } + // we found the interval of size eps, take it's midpoint as final guess + t_m = 0.5 * (t0 + t1); + stepper.calc_state(t_m, x_m); + return std::make_pair(t_m, x_m); +} + + +int main(int argc, char **argv) +{ + state_type x0 = {{10.0, 0.0}}; + const double t_start = 0.0; + const double t_end = 10.0; + const double dt = 0.1; + const double threshold = 0.1; + + energy_condition cond(threshold); + state_type x_cond; + double t_cond; + std::tie(t_cond, x_cond) = find_condition(x0, damped_osc, cond, + t_start, t_end, dt, 1E-6); + if(t_cond > t_end) + { + // time after t_end -> no threshold crossing within [t_start, t_end] + std::cout << "No threshold crossing found." << std::endl; + } else + { + std::cout.precision(16); + std::cout << "Time of energy threshold crossing: " << t_cond << std::endl; + std::cout << "State: [" << x_cond[0] << " , " << x_cond[1] << "]" << std::endl; + std::cout << "Energy: " << cond.energy(x_cond) << std::endl; + } +} diff --git a/src/boost/libs/numeric/odeint/examples/fpu.cpp b/src/boost/libs/numeric/odeint/examples/fpu.cpp new file mode 100644 index 000000000..e3ca9df44 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/fpu.cpp @@ -0,0 +1,169 @@ +/* + * fpu.cpp + * + * This example demonstrates how one can use odeint to solve the Fermi-Pasta-Ulam system. + + * Created on: July 13, 2011 + * + * Copyright 2011-2012 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) + */ + +#include <iostream> +#include <numeric> +#include <cmath> +#include <vector> + +#include <boost/numeric/odeint.hpp> + +#ifndef M_PI //not there on windows +#define M_PI 3.1415927 //... +#endif + +using namespace std; +using namespace boost::numeric::odeint; + +//[ fpu_system_function +typedef vector< double > container_type; + +struct fpu +{ + const double m_beta; + + fpu( const double beta = 1.0 ) : m_beta( beta ) { } + + // system function defining the ODE + void operator()( const container_type &q , container_type &dpdt ) const + { + size_t n = q.size(); + double tmp = q[0] - 0.0; + double tmp2 = tmp + m_beta * tmp * tmp * tmp; + dpdt[0] = -tmp2; + for( size_t i=0 ; i<n-1 ; ++i ) + { + tmp = q[i+1] - q[i]; + tmp2 = tmp + m_beta * tmp * tmp * tmp; + dpdt[i] += tmp2; + dpdt[i+1] = -tmp2; + } + tmp = - q[n-1]; + tmp2 = tmp + m_beta * tmp * tmp * tmp; + dpdt[n-1] += tmp2; + } + + // calculates the energy of the system + double energy( const container_type &q , const container_type &p ) const + { + // ... + //<- + double energy = 0.0; + size_t n = q.size(); + + double tmp = q[0]; + energy += 0.5 * tmp * tmp + 0.25 * m_beta * tmp * tmp * tmp * tmp; + for( size_t i=0 ; i<n-1 ; ++i ) + { + tmp = q[i+1] - q[i]; + energy += 0.5 * ( p[i] * p[i] + tmp * tmp ) + 0.25 * m_beta * tmp * tmp * tmp * tmp; + } + energy += 0.5 * p[n-1] * p[n-1]; + tmp = q[n-1]; + energy += 0.5 * tmp * tmp + 0.25 * m_beta * tmp * tmp * tmp * tmp; + + return energy; + //-> + } + + // calculates the local energy of the system + void local_energy( const container_type &q , const container_type &p , container_type &e ) const + { + // ... + //<- + size_t n = q.size(); + double tmp = q[0]; + double tmp2 = 0.5 * tmp * tmp + 0.25 * m_beta * tmp * tmp * tmp * tmp; + e[0] = tmp2; + for( size_t i=0 ; i<n-1 ; ++i ) + { + tmp = q[i+1] - q[i]; + tmp2 = 0.25 * tmp * tmp + 0.125 * m_beta * tmp * tmp * tmp * tmp; + e[i] += 0.5 * p[i] * p[i] + tmp2 ; + e[i+1] = tmp2; + } + tmp = q[n-1]; + tmp2 = 0.5 * tmp * tmp + 0.25 * m_beta * tmp * tmp * tmp * tmp; + e[n-1] += 0.5 * p[n-1] * p[n-1] + tmp2; + //-> + } +}; +//] + + + +//[ fpu_observer +struct streaming_observer +{ + std::ostream& m_out; + const fpu &m_fpu; + size_t m_write_every; + size_t m_count; + + streaming_observer( std::ostream &out , const fpu &f , size_t write_every = 100 ) + : m_out( out ) , m_fpu( f ) , m_write_every( write_every ) , m_count( 0 ) { } + + template< class State > + void operator()( const State &x , double t ) + { + if( ( m_count % m_write_every ) == 0 ) + { + container_type &q = x.first; + container_type &p = x.second; + container_type energy( q.size() ); + m_fpu.local_energy( q , p , energy ); + for( size_t i=0 ; i<q.size() ; ++i ) + { + m_out << t << "\t" << i << "\t" << q[i] << "\t" << p[i] << "\t" << energy[i] << "\n"; + } + m_out << "\n"; + clog << t << "\t" << accumulate( energy.begin() , energy.end() , 0.0 ) << "\n"; + } + ++m_count; + } +}; +//] + + + + + + + + +int main( int argc , char **argv ) +{ + //[ fpu_integration + const size_t n = 64; + container_type q( n , 0.0 ) , p( n , 0.0 ); + + for( size_t i=0 ; i<n ; ++i ) + { + p[i] = 0.0; + q[i] = 32.0 * sin( double( i + 1 ) / double( n + 1 ) * M_PI ); + } + + + const double dt = 0.1; + + typedef symplectic_rkn_sb3a_mclachlan< container_type > stepper_type; + fpu fpu_instance( 8.0 ); + + integrate_const( stepper_type() , fpu_instance , + make_pair( boost::ref( q ) , boost::ref( p ) ) , + 0.0 , 1000.0 , dt , streaming_observer( cout , fpu_instance , 10 ) ); + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/generation_functions.cpp b/src/boost/libs/numeric/odeint/examples/generation_functions.cpp new file mode 100644 index 000000000..6baa5f22d --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/generation_functions.cpp @@ -0,0 +1,113 @@ +/* + libs/numeric/odeint/examples/stochastic_euler.hpp + + Copyright 2012 Karsten Ahnert + Copyright 2012-2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + Stochastic euler stepper example and Ornstein-Uhlenbeck process + + 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 <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + +typedef boost::array< double , 1 > state_type; + +using namespace boost::numeric::odeint; + + +//[ generation_functions_own_steppers +class custom_stepper +{ +public: + + typedef double value_type; + // ... +}; + +class custom_controller +{ + // ... +}; + +class custom_dense_output +{ + // ... +}; +//] + + +//[ generation_functions_get_controller +namespace boost { namespace numeric { namespace odeint { + +template<> +struct get_controller< custom_stepper > +{ + typedef custom_controller type; +}; + +} } } +//] + +//[ generation_functions_controller_factory +namespace boost { namespace numeric { namespace odeint { + +template<> +struct controller_factory< custom_stepper , custom_controller > +{ + custom_controller operator()( double abs_tol , double rel_tol , const custom_stepper & ) const + { + return custom_controller(); + } + + custom_controller operator()( double abs_tol , double rel_tol , double max_dt , + const custom_stepper & ) const + { + // version with maximal allowed step size max_dt + return custom_controller(); + } +}; + +} } } +//] + +int main( int argc , char **argv ) +{ + { + typedef runge_kutta_dopri5< state_type > stepper_type; + + /* + //[ generation_functions_syntax_auto + auto stepper1 = make_controlled( 1.0e-6 , 1.0e-6 , stepper_type() ); + // or with max step size limit: + // auto stepper1 = make_controlled( 1.0e-6 , 1.0e-6 , 0.01, stepper_type() ); + + auto stepper2 = make_dense_output( 1.0e-6 , 1.0e-6 , stepper_type() ); + //] + */ + + //[ generation_functions_syntax_result_of + boost::numeric::odeint::result_of::make_controlled< stepper_type >::type stepper3 = make_controlled( 1.0e-6 , 1.0e-6 , stepper_type() ); + (void)stepper3; + boost::numeric::odeint::result_of::make_dense_output< stepper_type >::type stepper4 = make_dense_output( 1.0e-6 , 1.0e-6 , stepper_type() ); + (void)stepper4; + //] + } + + { + /* + //[ generation_functions_example_custom_controller + auto stepper5 = make_controlled( 1.0e-6 , 1.0e-6 , custom_stepper() ); + //] + */ + + boost::numeric::odeint::result_of::make_controlled< custom_stepper >::type stepper5 = make_controlled( 1.0e-6 , 1.0e-6 , custom_stepper() ); + (void)stepper5; + } + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/gmpxx/Makefile b/src/boost/libs/numeric/odeint/examples/gmpxx/Makefile new file mode 100644 index 000000000..0a9f7cb01 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/gmpxx/Makefile @@ -0,0 +1,5 @@ +CXXFLAGS = -I${BOOST_ROOT} -O2 -static +LDFLAGS = -lgmpxx -lgmp + +lorenz_gmpxx: lorenz_gmpxx.cpp + ${CXX} ${CXXFLAGS} lorenz_gmpxx.cpp ${LDFLAGS} -o lorenz_gmpxx diff --git a/src/boost/libs/numeric/odeint/examples/gmpxx/lorenz_gmpxx.cpp b/src/boost/libs/numeric/odeint/examples/gmpxx/lorenz_gmpxx.cpp new file mode 100644 index 000000000..39b4c72e6 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/gmpxx/lorenz_gmpxx.cpp @@ -0,0 +1,83 @@ +/* + * lorenz_gmpxx.cpp + * + * This example demonstrates how odeint can be used with arbitrary precision types. + * + * Copyright 2011-2012 Karsten Ahnert + * Copyright 2011-2012 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 <boost/array.hpp> + +#include <gmpxx.h> + +#include <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +//[ gmpxx_lorenz +typedef mpf_class value_type; +typedef boost::array< value_type , 3 > state_type; + +struct lorenz +{ + void operator()( const state_type &x , state_type &dxdt , value_type t ) const + { + const value_type sigma( 10.0 ); + const value_type R( 28.0 ); + const value_type b( value_type( 8.0 ) / value_type( 3.0 ) ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; +//] + + + + +struct streaming_observer +{ + std::ostream& m_out; + + streaming_observer( std::ostream &out ) : m_out( out ) { } + + template< class State , class Time > + void operator()( const State &x , Time t ) const + { + m_out << t; + for( size_t i=0 ; i<x.size() ; ++i ) m_out << "\t" << x[i] ; + m_out << "\n"; + } +}; + + + + + + +int main( int argc , char **argv ) +{ + //[ gmpxx_integration + const int precision = 1024; + mpf_set_default_prec( precision ); + + state_type x = {{ value_type( 10.0 ) , value_type( 10.0 ) , value_type( 10.0 ) }}; + + cout.precision( 1000 ); + integrate_const( runge_kutta4< state_type , value_type >() , + lorenz() , x , value_type( 0.0 ) , value_type( 10.0 ) , value_type( value_type( 1.0 ) / value_type( 10.0 ) ) , + streaming_observer( cout ) ); + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/gram_schmidt.hpp b/src/boost/libs/numeric/odeint/examples/gram_schmidt.hpp new file mode 100644 index 000000000..f5f56808b --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/gram_schmidt.hpp @@ -0,0 +1,89 @@ +/* + 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 diff --git a/src/boost/libs/numeric/odeint/examples/harmonic_oscillator.cpp b/src/boost/libs/numeric/odeint/examples/harmonic_oscillator.cpp new file mode 100644 index 000000000..a1f53c4ff --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/harmonic_oscillator.cpp @@ -0,0 +1,211 @@ +/* + Copyright 2010-2012 Karsten Ahnert + Copyright 2011-2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + 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 <vector> + +#include <boost/numeric/odeint.hpp> + + + +//[ rhs_function +/* The type of container used to hold the state vector */ +typedef std::vector< double > state_type; + +const double gam = 0.15; + +/* The rhs of x' = f(x) */ +void harmonic_oscillator( const state_type &x , state_type &dxdt , const double /* t */ ) +{ + dxdt[0] = x[1]; + dxdt[1] = -x[0] - gam*x[1]; +} +//] + + + + + +//[ rhs_class +/* The rhs of x' = f(x) defined as a class */ +class harm_osc { + + double m_gam; + +public: + harm_osc( double gam ) : m_gam(gam) { } + + void operator() ( const state_type &x , state_type &dxdt , const double /* t */ ) + { + dxdt[0] = x[1]; + dxdt[1] = -x[0] - m_gam*x[1]; + } +}; +//] + + + + + +//[ integrate_observer +struct push_back_state_and_time +{ + std::vector< state_type >& m_states; + std::vector< double >& m_times; + + push_back_state_and_time( std::vector< state_type > &states , std::vector< double > × ) + : m_states( states ) , m_times( times ) { } + + void operator()( const state_type &x , double t ) + { + m_states.push_back( x ); + m_times.push_back( t ); + } +}; +//] + +struct write_state +{ + void operator()( const state_type &x ) const + { + std::cout << x[0] << "\t" << x[1] << "\n"; + } +}; + + +int main(int /* argc */ , char** /* argv */ ) +{ + using namespace std; + using namespace boost::numeric::odeint; + + + //[ state_initialization + state_type x(2); + x[0] = 1.0; // start at x=1.0, p=0.0 + x[1] = 0.0; + //] + + + + //[ integration + size_t steps = integrate( harmonic_oscillator , + x , 0.0 , 10.0 , 0.1 ); + //] + + + + //[ integration_class + harm_osc ho(0.15); + steps = integrate( ho , + x , 0.0 , 10.0 , 0.1 ); + //] + + + + + + //[ integrate_observ + vector<state_type> x_vec; + vector<double> times; + + steps = integrate( harmonic_oscillator , + x , 0.0 , 10.0 , 0.1 , + push_back_state_and_time( x_vec , times ) ); + + /* output */ + for( size_t i=0; i<=steps; i++ ) + { + cout << times[i] << '\t' << x_vec[i][0] << '\t' << x_vec[i][1] << '\n'; + } + //] + + + + + + + + //[ define_const_stepper + runge_kutta4< state_type > stepper; + integrate_const( stepper , harmonic_oscillator , x , 0.0 , 10.0 , 0.01 ); + //] + + + + + //[ integrate_const_loop + const double dt = 0.01; + for( double t=0.0 ; t<10.0 ; t+= dt ) + stepper.do_step( harmonic_oscillator , x , t , dt ); + //] + + + + + //[ define_adapt_stepper + typedef runge_kutta_cash_karp54< state_type > error_stepper_type; + //] + + + + //[ integrate_adapt + typedef controlled_runge_kutta< error_stepper_type > controlled_stepper_type; + controlled_stepper_type controlled_stepper; + integrate_adaptive( controlled_stepper , harmonic_oscillator , x , 0.0 , 10.0 , 0.01 ); + //] + + { + //[integrate_adapt_full + double abs_err = 1.0e-10 , rel_err = 1.0e-6 , a_x = 1.0 , a_dxdt = 1.0; + controlled_stepper_type controlled_stepper( + default_error_checker< double , range_algebra , default_operations >( abs_err , rel_err , a_x , a_dxdt ) ); + integrate_adaptive( controlled_stepper , harmonic_oscillator , x , 0.0 , 10.0 , 0.01 ); + //] + } + + + //[integrate_adapt_make_controlled + integrate_adaptive( make_controlled< error_stepper_type >( 1.0e-10 , 1.0e-6 ) , + harmonic_oscillator , x , 0.0 , 10.0 , 0.01 ); + //] + + + + + //[integrate_adapt_make_controlled_alternative + integrate_adaptive( make_controlled( 1.0e-10 , 1.0e-6 , error_stepper_type() ) , + harmonic_oscillator , x , 0.0 , 10.0 , 0.01 ); + //] + + #ifdef BOOST_NUMERIC_ODEINT_CXX11 + //[ define_const_stepper_cpp11 + { + runge_kutta4< state_type > stepper; + integrate_const( stepper , []( const state_type &x , state_type &dxdt , double t ) { + dxdt[0] = x[1]; dxdt[1] = -x[0] - gam*x[1]; } + , x , 0.0 , 10.0 , 0.01 ); + } + //] + + + + //[ harm_iterator_const_step] + std::for_each( make_const_step_time_iterator_begin( stepper , harmonic_oscillator, x , 0.0 , 0.1 , 10.0 ) , + make_const_step_time_iterator_end( stepper , harmonic_oscillator, x ) , + []( std::pair< const state_type & , const double & > x ) { + cout << x.second << " " << x.first[0] << " " << x.first[1] << "\n"; } ); + //] + #endif + + + + +} diff --git a/src/boost/libs/numeric/odeint/examples/harmonic_oscillator_units.cpp b/src/boost/libs/numeric/odeint/examples/harmonic_oscillator_units.cpp new file mode 100644 index 000000000..ceee83d80 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/harmonic_oscillator_units.cpp @@ -0,0 +1,121 @@ +/* + Copyright 2011-2013 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 <vector> + + +/* WARNING: Compilation in debug mode might consume enormous memory + (e.g. ~2GB on gcc 4.4 ) +*/ + +// first increase fusion macro variables (now done by odeint itself) +//#define BOOST_FUSION_INVOKE_MAX_ARITY 15 +//#define BOOST_RESULT_OF_NUM_ARGS 15 + +//[ units_define_basic_quantities + +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra_dispatcher.hpp> + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/fusion/container.hpp> + +using namespace std; +using namespace boost::numeric::odeint; +namespace fusion = boost::fusion; +namespace units = boost::units; +namespace si = boost::units::si; + +typedef units::quantity< si::time , double > time_type; +typedef units::quantity< si::length , double > length_type; +typedef units::quantity< si::velocity , double > velocity_type; +typedef units::quantity< si::acceleration , double > acceleration_type; +typedef units::quantity< si::frequency , double > frequency_type; + +typedef fusion::vector< length_type , velocity_type > state_type; +typedef fusion::vector< velocity_type , acceleration_type > deriv_type; +//] + + + +//[ units_define_ode +struct oscillator +{ + frequency_type m_omega; + + oscillator( const frequency_type &omega = 1.0 * si::hertz ) : m_omega( omega ) { } + + void operator()( const state_type &x , deriv_type &dxdt , time_type t ) const + { + fusion::at_c< 0 >( dxdt ) = fusion::at_c< 1 >( x ); + fusion::at_c< 1 >( dxdt ) = - m_omega * m_omega * fusion::at_c< 0 >( x ); + } +}; +//] + + +//[ units_observer +struct streaming_observer +{ + std::ostream& m_out; + + streaming_observer( std::ostream &out ) : m_out( out ) { } + + struct write_element + { + std::ostream &m_out; + write_element( std::ostream &out ) : m_out( out ) { }; + + template< class T > + void operator()( const T &t ) const + { + m_out << "\t" << t; + } + }; + + template< class State , class Time > + void operator()( const State &x , const Time &t ) const + { + m_out << t; + fusion::for_each( x , write_element( m_out ) ); + m_out << "\n"; + } +}; +//] + + +int main( int argc , char**argv ) +{ +// typedef dense_output_runge_kutta +// < +// controlled_runge_kutta +// < +// runge_kutta_dopri5< state_type , double , deriv_type , time_type , fusion_algebra > +// > +// > stepper_type; + + //[ units_define_stepper + typedef runge_kutta_dopri5< state_type , double , deriv_type , time_type > stepper_type; + + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ); + + integrate_const( make_dense_output( 1.0e-6 , 1.0e-6 , stepper_type() ) , oscillator( 2.0 * si::hertz ) , + x , 0.0 * si::second , 100.0 * si::second , 0.1 * si::second , streaming_observer( cout ) ); + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/heun.cpp b/src/boost/libs/numeric/odeint/examples/heun.cpp new file mode 100644 index 000000000..34fe12c42 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/heun.cpp @@ -0,0 +1,170 @@ +/* + [auto_generated] + libs/numeric/odeint/examples/heun.cpp + + [begin_description] + Examplary implementation of the method of Heun. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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 <boost/fusion/container/vector.hpp> +#include <boost/fusion/container/generation/make_vector.hpp> + +#include <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + + + + + + +namespace fusion = boost::fusion; + +//[ heun_define_coefficients +template< class Value = double > +struct heun_a1 : boost::array< Value , 1 > { + heun_a1( void ) + { + (*this)[0] = static_cast< Value >( 1 ) / static_cast< Value >( 3 ); + } +}; + +template< class Value = double > +struct heun_a2 : boost::array< Value , 2 > +{ + heun_a2( void ) + { + (*this)[0] = static_cast< Value >( 0 ); + (*this)[1] = static_cast< Value >( 2 ) / static_cast< Value >( 3 ); + } +}; + + +template< class Value = double > +struct heun_b : boost::array< Value , 3 > +{ + heun_b( void ) + { + (*this)[0] = static_cast<Value>( 1 ) / static_cast<Value>( 4 ); + (*this)[1] = static_cast<Value>( 0 ); + (*this)[2] = static_cast<Value>( 3 ) / static_cast<Value>( 4 ); + } +}; + +template< class Value = double > +struct heun_c : boost::array< Value , 3 > +{ + heun_c( void ) + { + (*this)[0] = static_cast< Value >( 0 ); + (*this)[1] = static_cast< Value >( 1 ) / static_cast< Value >( 3 ); + (*this)[2] = static_cast< Value >( 2 ) / static_cast< Value >( 3 ); + } +}; +//] + + +//[ heun_stepper_definition +template< + class State , + class Value = double , + class Deriv = State , + class Time = Value , + class Algebra = boost::numeric::odeint::range_algebra , + class Operations = boost::numeric::odeint::default_operations , + class Resizer = boost::numeric::odeint::initially_resizer +> +class heun : public +boost::numeric::odeint::explicit_generic_rk< 3 , 3 , State , Value , Deriv , Time , + Algebra , Operations , Resizer > +{ + +public: + + typedef boost::numeric::odeint::explicit_generic_rk< 3 , 3 , State , Value , Deriv , Time , + Algebra , Operations , Resizer > stepper_base_type; + + typedef typename stepper_base_type::state_type state_type; + typedef typename stepper_base_type::wrapped_state_type wrapped_state_type; + typedef typename stepper_base_type::value_type value_type; + typedef typename stepper_base_type::deriv_type deriv_type; + typedef typename stepper_base_type::wrapped_deriv_type wrapped_deriv_type; + typedef typename stepper_base_type::time_type time_type; + typedef typename stepper_base_type::algebra_type algebra_type; + typedef typename stepper_base_type::operations_type operations_type; + typedef typename stepper_base_type::resizer_type resizer_type; + typedef typename stepper_base_type::stepper_type stepper_type; + + heun( const algebra_type &algebra = algebra_type() ) + : stepper_base_type( + fusion::make_vector( + heun_a1<Value>() , + heun_a2<Value>() ) , + heun_b<Value>() , heun_c<Value>() , algebra ) + { } +}; +//] + + +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +struct lorenz +{ + template< class State , class Deriv > + void operator()( const State &x_ , Deriv &dxdt_ , double t ) const + { + typename boost::range_iterator< const State >::type x = boost::begin( x_ ); + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; + +struct streaming_observer +{ + std::ostream &m_out; + streaming_observer( std::ostream &out ) : m_out( out ) { } + template< typename State , typename Value > + void operator()( const State &x , Value t ) const + { + m_out << t; + for( size_t i=0 ; i<x.size() ; ++i ) m_out << "\t" << x[i]; + m_out << "\n"; + } +}; + + + +int main( int argc , char **argv ) +{ + using namespace std; + using namespace boost::numeric::odeint; + + + //[ heun_example + typedef boost::array< double , 3 > state_type; + heun< state_type > h; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + + integrate_const( h , lorenz() , x , 0.0 , 100.0 , 0.01 , + streaming_observer( std::cout ) ); + + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/integrate_times.cpp b/src/boost/libs/numeric/odeint/examples/integrate_times.cpp new file mode 100644 index 000000000..9e6b58104 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/integrate_times.cpp @@ -0,0 +1,54 @@ +/* Boost libs/numeric/odeint/examples/integrate_times.cpp + + Copyright 2009-2014 Karsten Ahnert + Copyright 2009-2014 Mario Mulansky + + example for the use of integrate_times + + 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 <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + + +/* + * simple 1D ODE + */ + +void rhs( const double x , double &dxdt , const double t ) +{ + dxdt = 3.0/(2.0*t*t) + x/(2.0*t); +} + +void write_cout( const double &x , const double t ) +{ + cout << t << '\t' << x << endl; +} + +// state_type = double +typedef runge_kutta_dopri5< double > stepper_type; + +const double dt = 0.1; + +int main() +{ + // create a vector with observation time points + std::vector<double> times( 91 ); + for( size_t i=0 ; i<times.size() ; ++i ) + times[i] = 1.0 + dt*i; + + double x = 0.0; //initial value x(1) = 0 + // we can provide the observation time as a boost range (i.e. the vector) + integrate_times( make_controlled( 1E-12 , 1E-12 , stepper_type() ) , rhs , + x , times , dt , write_cout ); + // or as two iterators + //integrate_times( make_controlled( 1E-12 , 1E-12 , stepper_type() ) , rhs , + // x , times.begin() , times.end() , dt , write_cout ); +} diff --git a/src/boost/libs/numeric/odeint/examples/list_lattice.cpp b/src/boost/libs/numeric/odeint/examples/list_lattice.cpp new file mode 100644 index 000000000..2c716ca11 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/list_lattice.cpp @@ -0,0 +1,78 @@ +/* + Copyright 2011-2012 Mario Mulansky + Copyright 2012-2013 Karsten Ahnert + + 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) + */ + + +/* example showing how odeint can be used with std::list */ + +#include <iostream> +#include <cmath> +#include <list> + +#include <boost/numeric/odeint.hpp> + +//[ list_bindings +typedef std::list< double > state_type; + +namespace boost { namespace numeric { namespace odeint { + +template< > +struct is_resizeable< state_type > +{ // declare resizeability + typedef boost::true_type type; + const static bool value = type::value; +}; + +template< > +struct same_size_impl< state_type , state_type > +{ // define how to check size + static bool same_size( const state_type &v1 , + const state_type &v2 ) + { + return v1.size() == v2.size(); + } +}; + +template< > +struct resize_impl< state_type , state_type > +{ // define how to resize + static void resize( state_type &v1 , + const state_type &v2 ) + { + v1.resize( v2.size() ); + } +}; + +} } } +//] + +void lattice( const state_type &x , state_type &dxdt , const double /* t */ ) +{ + state_type::const_iterator x_begin = x.begin(); + state_type::const_iterator x_end = x.end(); + state_type::iterator dxdt_begin = dxdt.begin(); + + x_end--; // stop one before last + while( x_begin != x_end ) + { + *(dxdt_begin++) = std::sin( *(x_begin) - *(x_begin++) ); + } + *dxdt_begin = sin( *x_begin - *(x.begin()) ); // periodic boundary +} + +using namespace boost::numeric::odeint; + +int main() +{ + const int N = 32; + state_type x; + for( int i=0 ; i<N ; ++i ) + x.push_back( 1.0*i/N ); + + integrate_const( runge_kutta4< state_type >() , lattice , x , 0.0 , 10.0 , 0.1 ); +} diff --git a/src/boost/libs/numeric/odeint/examples/lorenz.cpp b/src/boost/libs/numeric/odeint/examples/lorenz.cpp new file mode 100644 index 000000000..37155aaed --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/lorenz.cpp @@ -0,0 +1,31 @@ +#include <iostream> +#include <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +typedef boost::array< double , 3 > state_type; + +void lorenz( const state_type &x , state_type &dxdt , double t ) +{ + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; +} + +void write_lorenz( const state_type &x , const double t ) +{ + cout << t << '\t' << x[0] << '\t' << x[1] << '\t' << x[2] << endl; +} + +int main(int argc, char **argv) +{ + state_type x = {{ 10.0 , 1.0 , 1.0 }}; // initial conditions + integrate( lorenz , x , 0.0 , 25.0 , 0.1 , write_lorenz ); +} diff --git a/src/boost/libs/numeric/odeint/examples/lorenz_point.cpp b/src/boost/libs/numeric/odeint/examples/lorenz_point.cpp new file mode 100644 index 000000000..26161675c --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/lorenz_point.cpp @@ -0,0 +1,119 @@ +/* + * Copyright 2011-2013 Mario Mulansky + * Copyright 2012 Karsten Ahnert + * + * 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) + * + * Example for the lorenz system with a 3D point type +*/ + +#include <iostream> +#include <cmath> + +#include <boost/operators.hpp> + +#include <boost/numeric/odeint.hpp> + + +//[point3D +class point3D : + boost::additive1< point3D , + boost::additive2< point3D , double , + boost::multiplicative2< point3D , double > > > +{ +public: + + double x , y , z; + + point3D() + : x( 0.0 ) , y( 0.0 ) , z( 0.0 ) + { } + + point3D( const double val ) + : x( val ) , y( val ) , z( val ) + { } + + point3D( const double _x , const double _y , const double _z ) + : x( _x ) , y( _y ) , z( _z ) + { } + + point3D& operator+=( const point3D &p ) + { + x += p.x; y += p.y; z += p.z; + return *this; + } + + point3D& operator*=( const double a ) + { + x *= a; y *= a; z *= a; + return *this; + } + +}; +//] + +//[point3D_abs_div +// only required for steppers with error control +point3D operator/( const point3D &p1 , const point3D &p2 ) +{ + return point3D( p1.x/p2.x , p1.y/p2.y , p1.z/p2.z ); +} + +point3D abs( const point3D &p ) +{ + return point3D( std::abs(p.x) , std::abs(p.y) , std::abs(p.z) ); +} +//] + +//[point3D_norm +// also only for steppers with error control +namespace boost { namespace numeric { namespace odeint { +template<> +struct vector_space_norm_inf< point3D > +{ + typedef double result_type; + double operator()( const point3D &p ) const + { + using std::max; + using std::abs; + return max( max( abs( p.x ) , abs( p.y ) ) , abs( p.z ) ); + } +}; +} } } +//] + +std::ostream& operator<<( std::ostream &out , const point3D &p ) +{ + out << p.x << " " << p.y << " " << p.z; + return out; +} + +//[point3D_main +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +void lorenz( const point3D &x , point3D &dxdt , const double t ) +{ + dxdt.x = sigma * ( x.y - x.x ); + dxdt.y = R * x.x - x.y - x.x * x.z; + dxdt.z = -b * x.z + x.x * x.y; +} + +using namespace boost::numeric::odeint; + +int main() +{ + + point3D x( 10.0 , 5.0 , 5.0 ); + // point type defines it's own operators -> use vector_space_algebra ! + typedef runge_kutta_dopri5< point3D , double , point3D , + double , vector_space_algebra > stepper; + int steps = integrate_adaptive( make_controlled<stepper>( 1E-10 , 1E-10 ) , lorenz , x , + 0.0 , 10.0 , 0.1 ); + std::cout << x << std::endl; + std::cout << "steps: " << steps << std::endl; +} +//] diff --git a/src/boost/libs/numeric/odeint/examples/molecular_dynamics.cpp b/src/boost/libs/numeric/odeint/examples/molecular_dynamics.cpp new file mode 100644 index 000000000..e1a82e036 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/molecular_dynamics.cpp @@ -0,0 +1,160 @@ +/* + [auto_generated] + libs/numeric/odeint/examples/molecular_dynamics.cpp + + [begin_description] + Molecular dynamics example. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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 <boost/numeric/odeint.hpp> + +#include <vector> +#include <iostream> +#include <random> + +using namespace boost::numeric::odeint; + + + +using namespace std; +#define tab "\t" + +const size_t n1 = 16; +const size_t n2 = 16; + +struct md_system +{ + static const size_t n = n1 * n2; + typedef std::vector< double > vector_type; + + md_system( double a = 0.0 , // strength of harmonic oscillator + double gamma = 0.0 , // friction + double eps = 0.1 , // interaction strenght + double sigma = 1.0 , // interaction radius + double xmax = 150.0 , double ymax = 150.0 ) + : m_a( a ) , m_gamma( gamma ) + , m_eps( eps ) , m_sigma( sigma ) + , m_xmax( xmax ) , m_ymax( ymax ) + { } + + static void init_vector_type( vector_type &x ) { x.resize( 2 * n ); } + + void operator()( vector_type const& x , vector_type const& v , vector_type &a , double t ) const + { + for( size_t i=0 ; i<n ; ++i ) + { + double diffx = x[i] - 0.5 * m_xmax , diffy = x[i+n] - 0.5 * m_ymax; + double r2 = diffx * diffx + diffy * diffy ; + double r = std::sqrt( r2 ); + a[ i ] = - m_a * r * diffx - m_gamma * v[ i ] ; + a[ n + i ] = - m_a * r * diffy - m_gamma * v[ n + i ] ; + } + + for( size_t i=0 ; i<n ; ++i ) + { + double xi = x[i] , yi = x[n+i]; + xi = periodic_bc( xi , m_xmax ); + yi = periodic_bc( yi , m_ymax ); + for( size_t j=0 ; j<i ; ++j ) + { + double xj = x[j] , yj = x[n+j]; + xj = periodic_bc( xj , m_xmax ); + yj = periodic_bc( yj , m_ymax ); + + double diffx = ( xj - xi ) , diffy = ( yj - yi ); + double r = sqrt( diffx * diffx + diffy * diffy ); + double f = lennard_jones( r ); + a[ i ] += diffx / r * f; + a[ n + i ] += diffy / r * f; + a[ j ] -= diffx / r * f; + a[ n + j ] -= diffy / r * f; + } + } + } + + void bc( vector_type &x ) + { + for( size_t i=0 ; i<n ; ++i ) + { + x[ i ] = periodic_bc( x[ i ] , m_xmax ); + x[ i + n ] = periodic_bc( x[ i + n ] , m_ymax ); + } + } + + inline double lennard_jones( double r ) const + { + double c = m_sigma / r; + double c3 = c * c * c; + double c6 = c3 * c3; + return 4.0 * m_eps * ( -12.0 * c6 * c6 / r + 6.0 * c6 / r ); + } + + static inline double periodic_bc( double x , double xmax ) + { + return ( x < 0.0 ) ? x + xmax : ( x > xmax ) ? x - xmax : x ; + } + + double m_a; + double m_gamma; + double m_eps ; + double m_sigma ; + double m_xmax , m_ymax; +}; + + + + + +int main( int argc , char *argv[] ) +{ + const size_t n = md_system::n; + typedef md_system::vector_type vector_type; + + + std::mt19937 rng; + std::normal_distribution<> dist( 0.0 , 1.0 ); + + vector_type x , v; + md_system::init_vector_type( x ); + md_system::init_vector_type( v ); + + for( size_t i=0 ; i<n1 ; ++i ) + { + for( size_t j=0 ; j<n2 ; ++j ) + { + x[i*n2+j ] = 5.0 + i * 4.0 ; + x[i*n2+j+n] = 5.0 + j * 4.0 ; + v[i] = dist( rng ) ; + v[i+n] = dist( rng ) ; + } + } + + velocity_verlet< vector_type > stepper; + const double dt = 0.025; + double t = 0.0; + md_system sys; + for( size_t oi=0 ; oi<100000 ; ++oi ) + { + for( size_t ii=0 ; ii<100 ; ++ii,t+=dt ) + stepper.do_step( sys , std::make_pair( std::ref( x ) , std::ref( v ) ) , t , dt ); + sys.bc( x ); + + std::cout << "set size square" << "\n"; + std::cout << "unset key" << "\n"; + std::cout << "p [0:" << sys.m_xmax << "][0:" << sys.m_ymax << "] '-' pt 7 ps 0.5" << "\n"; + for( size_t i=0 ; i<n ; ++i ) + std::cout << x[i] << " " << x[i+n] << " " << v[i] << " " << v[i+n] << "\n"; + std::cout << "e" << std::endl; + } + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/molecular_dynamics_cells.cpp b/src/boost/libs/numeric/odeint/examples/molecular_dynamics_cells.cpp new file mode 100644 index 000000000..dcb7c5fda --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/molecular_dynamics_cells.cpp @@ -0,0 +1,379 @@ +/* + [auto_generated] + libs/numeric/odeint/examples/molecular_dynamics_cells.cpp + + [begin_description] + Molecular dynamics example with cells. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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 <boost/numeric/odeint.hpp> + +#include <cstddef> +#include <vector> +#include <cmath> +#include <algorithm> +#include <tuple> +#include <iostream> +#include <random> + +#include <boost/range/algorithm/for_each.hpp> +#include <boost/range/algorithm/sort.hpp> +#include <boost/range/algorithm/unique_copy.hpp> +#include <boost/range/algorithm_ext/iota.hpp> +#include <boost/iterator/zip_iterator.hpp> +#include <boost/iterator/transform_iterator.hpp> +#include <boost/iterator/permutation_iterator.hpp> +#include <boost/iterator/counting_iterator.hpp> + +#include "point_type.hpp" + + + + + + + + +struct local_force +{ + double m_gamma; // friction + local_force( double gamma = 0.0 ) : m_gamma( gamma ) { } + template< typename Point > + Point operator()( Point& x , Point& v ) const + { + return - m_gamma * v; + } +}; + + +struct lennard_jones +{ + double m_sigma; + double m_eps; + lennard_jones( double sigma = 1.0 , double eps = 0.1 ) : m_sigma( sigma ) , m_eps( eps ) { } + double operator()( double r ) const + { + double c = m_sigma / r; + double c3 = c * c * c; + double c6 = c3 * c3; + return 4.0 * m_eps * ( -12.0 * c6 * c6 / r + 6.0 * c6 / r ); + } +}; + +template< typename F > +struct conservative_interaction +{ + F m_f; + conservative_interaction( F const &f = F() ) : m_f( f ) { } + template< typename Point > + Point operator()( Point const& x1 , Point const& x2 ) const + { + Point diff = x1 - x2; + double r = abs( diff ); + double f = m_f( r ); + return - diff / r * f; + } +}; + +template< typename F > +conservative_interaction< F > make_conservative_interaction( F const &f ) +{ + return conservative_interaction< F >( f ); +} + + + + + + + +// force = interaction( x1 , x2 ) +// force = local_force( x , v ) +template< typename LocalForce , typename Interaction > +class md_system_bs +{ +public: + + typedef std::vector< double > vector_type; + typedef point< double , 2 > point_type; + typedef point< int , 2 > index_type; + typedef std::vector< point_type > point_vector; + typedef std::vector< index_type > index_vector; + typedef std::vector< size_t > hash_vector; + typedef LocalForce local_force_type; + typedef Interaction interaction_type; + + + struct params + { + size_t n; + size_t n_cell_x , n_cell_y , n_cells; + double x_max , y_max , cell_size; + double eps , sigma; // interaction strength, interaction radius + interaction_type interaction; + local_force_type local_force; + }; + + + struct cell_functor + { + params const &m_p; + + cell_functor( params const& p ) : m_p( p ) { } + + template< typename Tuple > + void operator()( Tuple const& t ) const + { + auto point = boost::get< 0 >( t ); + size_t i1 = size_t( point[0] / m_p.cell_size ) , i2 = size_t( point[1] / m_p.cell_size ); + boost::get< 1 >( t ) = index_type( i1 , i2 ); + boost::get< 2 >( t ) = hash_func( boost::get< 1 >( t ) , m_p ); + } + }; + + + + struct transform_functor + { + typedef size_t argument_type; + typedef size_t result_type; + hash_vector const* m_index; + transform_functor( hash_vector const& index ) : m_index( &index ) { } + size_t operator()( size_t i ) const { return (*m_index)[i]; } + }; + + + + struct interaction_functor + { + hash_vector const &m_cells_begin; + hash_vector const &m_cells_end; + hash_vector const &m_order; + point_vector const &m_x; + point_vector const &m_v; + params const &m_p; + size_t m_ncellx , m_ncelly; + + interaction_functor( hash_vector const& cells_begin , hash_vector const& cells_end , hash_vector pos_order , + point_vector const&x , point_vector const& v , params const &p ) + : m_cells_begin( cells_begin ) , m_cells_end( cells_end ) , m_order( pos_order ) , m_x( x ) , m_v( v ) , + m_p( p ) { } + + template< typename Tuple > + void operator()( Tuple const &t ) const + { + point_type x = periodic_bc( boost::get< 0 >( t ) , m_p ) , v = boost::get< 1 >( t ); + index_type index = boost::get< 3 >( t ); + size_t pos_hash = boost::get< 4 >( t ); + + point_type a = m_p.local_force( x , v ); + + for( int i=-1 ; i<=1 ; ++i ) + { + for( int j=-1 ; j<=1 ; ++j ) + { + index_type cell_index = index + index_type( i , j ); + size_t cell_hash = hash_func( cell_index , m_p ); + for( size_t ii = m_cells_begin[ cell_hash ] ; ii < m_cells_end[ cell_hash ] ; ++ii ) + { + if( m_order[ ii ] == pos_hash ) continue; + point_type x2 = periodic_bc( m_x[ m_order[ ii ] ] , m_p ); + + if( cell_index[0] >= m_p.n_cell_x ) x2[0] += m_p.x_max; + if( cell_index[0] < 0 ) x2[0] -= m_p.x_max; + if( cell_index[1] >= m_p.n_cell_y ) x2[1] += m_p.y_max; + if( cell_index[1] < 0 ) x2[1] -= m_p.y_max; + + a += m_p.interaction( x , x2 ); + } + } + } + boost::get< 2 >( t ) = a; + } + }; + + + + + md_system_bs( size_t n , + local_force_type const& local_force = local_force_type() , + interaction_type const& interaction = interaction_type() , + double xmax = 100.0 , double ymax = 100.0 , double cell_size = 2.0 ) + : m_p() + { + m_p.n = n; + m_p.x_max = xmax; + m_p.y_max = ymax; + m_p.interaction = interaction; + m_p.local_force = local_force; + m_p.n_cell_x = size_t( xmax / cell_size ); + m_p.n_cell_y = size_t( ymax / cell_size ); + m_p.n_cells = m_p.n_cell_x * m_p.n_cell_y; + m_p.cell_size = cell_size; + } + + void init_point_vector( point_vector &x ) const { x.resize( m_p.n ); } + + void operator()( point_vector const& x , point_vector const& v , point_vector &a , double t ) const + { + // init + hash_vector pos_hash( m_p.n , 0 ); + index_vector pos_index( m_p.n ); + hash_vector pos_order( m_p.n , 0 ); + hash_vector cells_begin( m_p.n_cells ) , cells_end( m_p.n_cells ) , cell_order( m_p.n_cells ); + + boost::iota( pos_order , 0 ); + boost::iota( cell_order , 0 ); + + // calculate grid hash + // calcHash( m_dGridParticleHash, m_dGridParticleIndex, dPos, m_numParticles); + std::for_each( + boost::make_zip_iterator( boost::make_tuple( x.begin() , pos_index.begin() , pos_hash.begin() ) ) , + boost::make_zip_iterator( boost::make_tuple( x.end() , pos_index.end() , pos_hash.end() ) ) , + cell_functor( m_p ) ); + +// // sort particles based on hash +// // sortParticles(m_dGridParticleHash, m_dGridParticleIndex, m_numParticles); + boost::sort( pos_order , [&]( size_t i1 , size_t i2 ) -> bool { + return pos_hash[i1] < pos_hash[i2]; } ); + + + + // reorder particle arrays into sorted order and find start and end of each cell + std::for_each( cell_order.begin() , cell_order.end() , [&]( size_t i ) { + auto pos_begin = boost::make_transform_iterator( pos_order.begin() , transform_functor( pos_hash ) ); + auto pos_end = boost::make_transform_iterator( pos_order.end() , transform_functor( pos_hash ) ); + cells_begin[ i ] = std::distance( pos_begin , std::lower_bound( pos_begin , pos_end , i ) ); + cells_end[ i ] = std::distance( pos_begin , std::upper_bound( pos_begin , pos_end , i ) ); + } ); + + std::for_each( + boost::make_zip_iterator( boost::make_tuple( + x.begin() , + v.begin() , + a.begin() , + pos_index.begin() , + boost::counting_iterator< size_t >( 0 ) + ) ) , + boost::make_zip_iterator( boost::make_tuple( + x.end() , + v.end() , + a.end() , + pos_index.end() , + boost::counting_iterator< size_t >( m_p.n ) + ) ) , + interaction_functor( cells_begin , cells_end , pos_order , x , v , m_p ) ); + } + + void bc( point_vector &x ) + { + for( size_t i=0 ; i<m_p.n ; ++i ) + { + x[i][0] = periodic_bc( x[ i ][0] , m_p.x_max ); + x[i][1] = periodic_bc( x[ i ][1] , m_p.y_max ); + } + } + + static inline double periodic_bc( double x , double xmax ) + { + double tmp = x - xmax * int( x / xmax ); + return tmp >= 0.0 ? tmp : tmp + xmax; + } + + + static inline point_type periodic_bc( point_type const& x , params const& p ) + { + return point_type( periodic_bc( x[0] , p.x_max ) , periodic_bc( x[1] , p.y_max ) ); + } + + + static inline int check_interval( int i , int max ) + { + int tmp = i % max; + return tmp >= 0 ? tmp : tmp + max; + } + + + static inline size_t hash_func( index_type index , params const & p ) + { + size_t i1 = check_interval( index[0] , p.n_cell_x ); + size_t i2 = check_interval( index[1] , p.n_cell_y ); + return i1 * p.n_cell_y + i2; + } + + params m_p; +}; + + +template< typename LocalForce , typename Interaction > +md_system_bs< LocalForce , Interaction > make_md_system_bs( size_t n , LocalForce const &f1 , Interaction const &f2 , + double xmax = 100.0 , double ymax = 100.0 , double cell_size = 2.0 ) +{ + return md_system_bs< LocalForce , Interaction >( n , f1 , f2 , xmax , ymax , cell_size ); +} + + + + + + +using namespace boost::numeric::odeint; + + + +int main( int argc , char *argv[] ) +{ + const size_t n1 = 32; + const size_t n2 = 32; + const size_t n = n1 * n2; + auto sys = make_md_system_bs( n , local_force() , make_conservative_interaction( lennard_jones() ) , 100.0 , 100.0 , 2.0 ); + typedef decltype( sys ) system_type; + typedef system_type::point_vector point_vector; + + std::mt19937 rng; + std::normal_distribution<> dist( 0.0 , 1.0 ); + + point_vector x , v; + sys.init_point_vector( x ); + sys.init_point_vector( v ); + + for( size_t i=0 ; i<n1 ; ++i ) + { + for( size_t j=0 ; j<n2 ; ++j ) + { + size_t index = i * n2 + j; + x[index][0] = 10.0 + i * 2.0 ; + x[index][1] = 10.0 + j * 2.0 ; + v[index][0] = dist( rng ) ; + v[index][1] = dist( rng ) ; + } + } + + velocity_verlet< point_vector > stepper; + const double dt = 0.025; + double t = 0.0; + // std::cout << "set term x11" << endl; + for( size_t oi=0 ; oi<10000 ; ++oi ) + { + for( size_t ii=0 ; ii<50 ; ++ii,t+=dt ) + stepper.do_step( sys , std::make_pair( std::ref( x ) , std::ref( v ) ) , t , dt ); + sys.bc( x ); + + std::cout << "set size square" << "\n"; + std::cout << "unset key" << "\n"; + std::cout << "p [0:" << sys.m_p.x_max << "][0:" << sys.m_p.y_max << "] '-' pt 7 ps 0.5" << "\n"; + for( size_t i=0 ; i<n ; ++i ) + std::cout << x[i][0] << " " << x[i][1] << " " << v[i][0] << " " << v[i][1] << "\n"; + std::cout << "e" << std::endl; + } + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/mpi/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/mpi/Jamfile.v2 new file mode 100644 index 000000000..d3f18eb2c --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/mpi/Jamfile.v2 @@ -0,0 +1,15 @@ +# Copyright 2011-2013 Mario Mulansky +# Copyright 2012 Karsten Ahnert +# Copyright 2013 Pascal Germroth +# 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) + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + <library>/boost//mpi + <library>/boost//timer + ; + +exe phase_chain : phase_chain.cpp ; diff --git a/src/boost/libs/numeric/odeint/examples/mpi/phase_chain.cpp b/src/boost/libs/numeric/odeint/examples/mpi/phase_chain.cpp new file mode 100644 index 000000000..258c2f21d --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/mpi/phase_chain.cpp @@ -0,0 +1,120 @@ +/* + * phase_chain.cpp + * + * Example of MPI parallelization with odeint + * + * Copyright 2013 Karsten Ahnert + * Copyright 2013 Mario Mulansky + * Copyright 2013 Pascal Germroth + * 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 <vector> +#include <boost/random.hpp> +#include <boost/timer/timer.hpp> +//[phase_chain_mpi_header +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/mpi/mpi.hpp> +//] + +using namespace std; +using namespace boost::numeric::odeint; +using boost::timer::cpu_timer; +using boost::math::double_constants::pi; + +//[phase_chain_state +typedef mpi_state< vector<double> > state_type; +//] + +//[phase_chain_mpi_rhs +struct phase_chain_mpi_state +{ + phase_chain_mpi_state( double gamma = 0.5 ) + : m_gamma( gamma ) { } + + void operator()( const state_type &x , state_type &dxdt , double /* t */ ) const + { + const size_t M = x().size(); + const bool have_left = x.world.rank() > 0, + have_right = x.world.rank() < x.world.size()-1; + double x_left, x_right; + boost::mpi::request r_left, r_right; + if( have_left ) + { + x.world.isend( x.world.rank()-1 , 0 , x().front() ); // send to x_right + r_left = x.world.irecv( x.world.rank()-1 , 0 , x_left ); // receive from x().back() + } + if( have_right ) + { + x.world.isend( x.world.rank()+1 , 0 , x().back() ); // send to x_left + r_right = x.world.irecv( x.world.rank()+1 , 0 , x_right ); // receive from x().front() + } + for(size_t m = 1 ; m < M-1 ; ++m) + { + dxdt()[m] = coupling_func( x()[m+1] - x()[m] ) + + coupling_func( x()[m-1] - x()[m] ); + } + dxdt()[0] = coupling_func( x()[1] - x()[0] ); + if( have_left ) + { + r_left.wait(); + dxdt()[0] += coupling_func( x_left - x().front() ); + } + dxdt()[M-1] = coupling_func( x()[M-2] - x()[M-1] ); + if( have_right ) + { + r_right.wait(); + dxdt()[M-1] += coupling_func( x_right - x().back() ); + } + } + + double coupling_func( double x ) const + { + return sin( x ) - m_gamma * ( 1.0 - cos( x ) ); + } + + double m_gamma; +}; +//] + + +int main( int argc , char **argv ) +{ + //[phase_chain_mpi_init + boost::mpi::environment env( argc , argv ); + boost::mpi::communicator world; + + const size_t N = 131101; + vector<double> x; + if( world.rank() == 0 ) + { + x.resize( N ); + boost::random::uniform_real_distribution<double> distribution( 0.0 , 2.0*pi ); + boost::random::mt19937 engine( 0 ); + generate( x.begin() , x.end() , boost::bind( distribution , engine ) ); + } + + state_type x_split( world ); + split( x , x_split ); + //] + + + cpu_timer timer; + //[phase_chain_mpi_integrate + integrate_n_steps( runge_kutta4<state_type>() , phase_chain_mpi_state( 1.2 ) , + x_split , 0.0 , 0.01 , 100 ); + unsplit( x_split , x ); + //] + + if( world.rank() == 0 ) + { + double run_time = static_cast<double>(timer.elapsed().wall) * 1.0e-9; + std::cerr << run_time << "s" << std::endl; + // copy(x.begin(), x.end(), ostream_iterator<double>(cout, "\n")); + } + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/mtl/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/mtl/Jamfile.v2 new file mode 100644 index 000000000..9f4ffb0f3 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/mtl/Jamfile.v2 @@ -0,0 +1,17 @@ +# Copyright 2011-2013 Mario Mulansky +# Copyright 2012 Karsten Ahnert +# 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) + +# set your MTL4 directory here +MTL4_INCLUDE = /home/mario/MTL4 ; + +project + : requirements + <include>$(MTL4_INCLUDE) + <define>BOOST_ALL_NO_LIB=1 + ; + +exe gauss_packet : gauss_packet.cpp ; +exe implicit_euler_mtl : implicit_euler_mtl.cpp ;
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/examples/mtl/gauss_packet.cpp b/src/boost/libs/numeric/odeint/examples/mtl/gauss_packet.cpp new file mode 100644 index 000000000..9579e5d45 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/mtl/gauss_packet.cpp @@ -0,0 +1,141 @@ +/* + * gauss_packet.cpp + * + * Schroedinger equation with potential barrier and periodic boundary conditions + * Initial Gauss packet moving to the right + * + * pipe output into gnuplot to see animation + * + * Implementation of Hamilton operator via MTL library + * + * Copyright 2011-2013 Mario Mulansky + * Copyright 2011-2012 Karsten Ahnert + * + * 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 <complex> + +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/mtl4/mtl4.hpp> + +#include <boost/numeric/mtl/mtl.hpp> + + +using namespace std; +using namespace boost::numeric::odeint; + +typedef mtl::dense_vector< complex< double > > state_type; + +struct hamiltonian { + + typedef mtl::compressed2D< complex< double > > matrix_type; + matrix_type m_H; + + hamiltonian( const int N ) : m_H( N , N ) + { + // constructor with zero potential + m_H = 0.0; + initialize_kinetic_term(); + } + + //template< mtl::compressed2D< double > > + hamiltonian( mtl::compressed2D< double > &V ) : m_H( num_rows( V ) , num_cols( V ) ) + { + // use potential V in hamiltonian + m_H = complex<double>( 0.0 , -1.0 ) * V; + initialize_kinetic_term(); + } + + void initialize_kinetic_term( ) + { + const int N = num_rows( m_H ); + mtl::matrix::inserter< matrix_type , mtl::update_plus< complex<double> > > ins( m_H ); + const double z = 1.0; + // fill diagonal and upper and lower diagonal + for( int i = 0 ; i<N ; ++i ) + { + ins[ i ][ (i+1) % N ] << complex< double >( 0.0 , -z ); + ins[ i ][ i ] << complex< double >( 0.0 , z ); + ins[ (i+1) % N ][ i ] << complex< double >( 0.0 , -z ); + } + } + + void operator()( const state_type &psi , state_type &dpsidt , const double t ) + { + dpsidt = m_H * psi; + } + +}; + +struct write_for_gnuplot +{ + size_t m_every , m_count; + + write_for_gnuplot( size_t every = 10 ) + : m_every( every ) , m_count( 0 ) { } + + void operator()( const state_type &x , double t ) + { + if( ( m_count % m_every ) == 0 ) + { + //clog << t << endl; + cout << "p [0:" << mtl::size(x) << "][0:0.02] '-'" << endl; + for( size_t i=0 ; i<mtl::size(x) ; ++i ) + { + cout << i << "\t" << norm(x[i]) << "\n"; + } + cout << "e" << endl; + } + + ++m_count; + } +}; + +static const int N = 1024; +static const int N0 = 256; +static const double sigma0 = 20; +static const double k0 = -1.0; + +int main( int argc , char** argv ) +{ + state_type x( N , 0.0 ); + + // initialize gauss packet with nonzero velocity + for( int i=0 ; i<N ; ++i ) + { + x[i] = exp( -(i-N0)*(i-N0) / ( 4.0*sigma0*sigma0 ) ) * exp( complex< double >( 0.0 , k0*i ) ); + //x[i] += 2.0*exp( -(i+N0-N)*(i+N0-N) / ( 4.0*sigma0*sigma0 ) ) * exp( complex< double >( 0.0 , -k0*i ) ); + } + x /= mtl::two_norm( x ); + + typedef runge_kutta4< state_type > stepper; + + // create potential barrier + mtl::compressed2D< double > V( N , N ); + V = 0.0; + { + mtl::matrix::inserter< mtl::compressed2D< double > > ins( V ); + for( int i=0 ; i<N ; ++i ) + { + //ins[i][i] << 1E-4*(i-N/2)*(i-N/2); + + if( i < N/2 ) + ins[ i ][ i ] << 0.0 ; + else + ins[ i ][ i ] << 1.0 ; + + } + } + + // perform integration, output can be piped to gnuplot + integrate_const( stepper() , hamiltonian( V ) , x , 0.0 , 1000.0 , 0.1 , write_for_gnuplot( 10 ) ); + + clog << "Norm: " << mtl::two_norm( x ) << endl; + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/mtl/implicit_euler_mtl.cpp b/src/boost/libs/numeric/odeint/examples/mtl/implicit_euler_mtl.cpp new file mode 100644 index 000000000..6a1b8e731 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/mtl/implicit_euler_mtl.cpp @@ -0,0 +1,324 @@ +/* + * Copyright 2012 Karsten Ahnert + * Copyright 2012 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 <fstream> +#include <utility> +#include "time.h" + +#include <boost/numeric/odeint.hpp> +#include <boost/phoenix/phoenix.hpp> +#include <boost/numeric/mtl/mtl.hpp> + +#include <boost/numeric/odeint/external/mtl4/implicit_euler_mtl4.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +namespace phoenix = boost::phoenix; + + + +typedef mtl::dense_vector< double > vec_mtl4; +typedef mtl::compressed2D< double > mat_mtl4; + +typedef boost::numeric::ublas::vector< double > vec_ublas; +typedef boost::numeric::ublas::matrix< double > mat_ublas; + + +// two systems defined 1 & 2 both are mostly sparse with the number of element variable +struct system1_mtl4 +{ + + void operator()( const vec_mtl4 &x , vec_mtl4 &dxdt , double t ) + { + int size = mtl::size(x); + + dxdt[ 0 ] = -0.06*x[0]; + + for (int i =1; i< size ; ++i){ + + dxdt[ i ] = 4.2*x[i-1]-2.2*x[i]*x[i]; + } + + } +}; + +struct jacobi1_mtl4 +{ + void operator()( const vec_mtl4 &x , mat_mtl4 &J , const double &t ) + { + int size = mtl::size(x); + mtl::matrix::inserter<mat_mtl4> ins(J); + + ins[0][0]=-0.06; + + for (int i =1; i< size ; ++i) + { + ins[i][i-1] = + 4.2; + ins[i][i] = -4.2*x[i]; + } + } +}; + + + +struct system1_ublas +{ + + void operator()( const vec_ublas &x , vec_ublas &dxdt , double t ) + { + int size = x.size(); + + dxdt[ 0 ] = -0.06*x[0]; + + for (int i =1; i< size ; ++i){ + + dxdt[ i ] = 4.2*x[i-1]-2.2*x[i]*x[i]; + } + + } +}; + +struct jacobi1_ublas +{ + void operator()( const vec_ublas &x , mat_ublas &J , const double &t ) + { + int size = x.size(); +// mtl::matrix::inserter<mat_mtl4> ins(J); + + J(0,0)=-0.06; + + for (int i =1; i< size ; ++i){ +//ins[i][0]=120.0*x[i]; + J(i,i-1) = + 4.2; + J(i,i) = -4.2*x[i]; + + } + } +}; + +struct system2_mtl4 +{ + + void operator()( const vec_mtl4 &x , vec_mtl4 &dxdt , double t ) + { + int size = mtl::size(x); + + + for (int i =0; i< size/5 ; i+=5){ + + dxdt[ i ] = -0.5*x[i]; + dxdt[i+1]= +25*x[i+1]*x[i+2]-740*x[i+3]*x[i+3]+4.2e-2*x[i]; + dxdt[i+2]= +25*x[i]*x[i]-740*x[i+3]*x[i+3]; + dxdt[i+3]= -25*x[i+1]*x[i+2]+740*x[i+3]*x[i+3]; + dxdt[i+4] = 0.250*x[i]*x[i+1]-44.5*x[i+3]; + + } + + } +}; + +struct jacobi2_mtl4 +{ + void operator()( const vec_mtl4 &x , mat_mtl4 &J , const double &t ) + { + int size = mtl::size(x); + mtl::matrix::inserter<mat_mtl4> ins(J); + + for (int i =0; i< size/5 ; i+=5){ + + ins[ i ][i] = -0.5; + ins[i+1][i+1]=25*x[i+2]; + ins[i+1][i+2] = 25*x[i+1]; + ins[i+1][i+3] = -740*2*x[i+3]; + ins[i+1][i] =+4.2e-2; + + ins[i+2][i]= 50*x[i]; + ins[i+2][i+3]= -740*2*x[i+3]; + ins[i+3][i+1] = -25*x[i+2]; + ins[i+3][i+2] = -25*x[i+1]; + ins[i+3][i+3] = +740*2*x[i+3]; + ins[i+4][i] = 0.25*x[i+1]; + ins[i+4][i+1] =0.25*x[i]; + ins[i+4][i+3]=-44.5; + + + + } + } +}; + + + +struct system2_ublas +{ + + void operator()( const vec_ublas &x , vec_ublas &dxdt , double t ) + { + int size = x.size(); + for (int i =0; i< size/5 ; i+=5){ + + dxdt[ i ] = -4.2e-2*x[i]; + dxdt[i+1]= +25*x[i+1]*x[i+2]-740*x[i+3]*x[i+3]+4.2e-2*x[i]; + dxdt[i+2]= +25*x[i]*x[i]-740*x[i+3]*x[i+3]; + dxdt[i+3]= -25*x[i+1]*x[i+2]+740*x[i+3]*x[i+3]; + dxdt[i+4] = 0.250*x[i]*x[i+1]-44.5*x[i+3]; + + } + + } +}; + +struct jacobi2_ublas +{ + void operator()( const vec_ublas &x , mat_ublas &J , const double &t ) + { + int size = x.size(); + + for (int i =0; i< size/5 ; i+=5){ + + J(i ,i) = -4.2e-2; + J(i+1,i+1)=25*x[i+2]; + J(i+1,i+2) = 25*x[i+1]; + J(i+1,i+3) = -740*2*x[i+3]; + J(i+1,i) =+4.2e-2; + + J(i+2,i)= 50*x[i]; + J(i+2,i+3)= -740*2*x[i+3]; + J(i+3,i+1) = -25*x[i+2]; + J(i+3,i+2) = -25*x[i+1]; + J(i+3,i+3) = +740*2*x[i+3]; + J(i+4,i) = 0.25*x[i+1]; + J(i+4,i+1) =0.25*x[i]; + J(i+4,i+3)=-44.5; + + + + } + + + } +}; + + + + +void testRidiculouslyMassiveArray( int size ) +{ + typedef boost::numeric::odeint::implicit_euler_mtl4 < double > mtl4stepper; + typedef boost::numeric::odeint::implicit_euler< double > booststepper; + + vec_mtl4 x(size , 0.0); + x[0]=1; + + + double dt = 0.02; + double endtime = 10.0; + + clock_t tstart_mtl4 = clock(); + size_t num_of_steps_mtl4 = integrate_const( + mtl4stepper() , + make_pair( system1_mtl4() , jacobi1_mtl4() ) , + x , 0.0 , endtime , dt ); + clock_t tend_mtl4 = clock() ; + + clog << x[0] << endl; + clog << num_of_steps_mtl4 << " time elapsed: " << (double)(tend_mtl4-tstart_mtl4 )/CLOCKS_PER_SEC << endl; + + vec_ublas x_ublas(size , 0.0); + x_ublas[0]=1; + + clock_t tstart_boost = clock(); + size_t num_of_steps_ublas = integrate_const( + booststepper() , + make_pair( system1_ublas() , jacobi1_ublas() ) , + x_ublas , 0.0 , endtime , dt ); + clock_t tend_boost = clock() ; + + clog << x_ublas[0] << endl; + clog << num_of_steps_ublas << " time elapsed: " << (double)(tend_boost-tstart_boost)/CLOCKS_PER_SEC<< endl; + + clog << "dt_ublas/dt_mtl4 = " << (double)( tend_boost-tstart_boost )/( tend_mtl4-tstart_mtl4 ) << endl << endl; + return ; +} + + + +void testRidiculouslyMassiveArray2( int size ) +{ + typedef boost::numeric::odeint::implicit_euler_mtl4 < double > mtl4stepper; + typedef boost::numeric::odeint::implicit_euler< double > booststepper; + + + vec_mtl4 x(size , 0.0); + x[0]=100; + + + double dt = 0.01; + double endtime = 10.0; + + clock_t tstart_mtl4 = clock(); + size_t num_of_steps_mtl4 = integrate_const( + mtl4stepper() , + make_pair( system1_mtl4() , jacobi1_mtl4() ) , + x , 0.0 , endtime , dt ); + + + clock_t tend_mtl4 = clock() ; + + clog << x[0] << endl; + clog << num_of_steps_mtl4 << " time elapsed: " << (double)(tend_mtl4-tstart_mtl4 )/CLOCKS_PER_SEC << endl; + + vec_ublas x_ublas(size , 0.0); + x_ublas[0]=100; + + clock_t tstart_boost = clock(); + size_t num_of_steps_ublas = integrate_const( + booststepper() , + make_pair( system1_ublas() , jacobi1_ublas() ) , + x_ublas , 0.0 , endtime , dt ); + + + clock_t tend_boost = clock() ; + + clog << x_ublas[0] << endl; + clog << num_of_steps_ublas << " time elapsed: " << (double)(tend_boost-tstart_boost)/CLOCKS_PER_SEC<< endl; + + clog << "dt_ublas/dt_mtl4 = " << (double)( tend_boost-tstart_boost )/( tend_mtl4-tstart_mtl4 ) << endl << endl; + return ; +} + + + + +int main( int argc , char **argv ) +{ + std::vector< size_t > length; + length.push_back( 8 ); + length.push_back( 16 ); + length.push_back( 32 ); + length.push_back( 64 ); + length.push_back( 128 ); + length.push_back( 256 ); + + for( size_t i=0 ; i<length.size() ; ++i ) + { + clog << "Testing with size " << length[i] << endl; + testRidiculouslyMassiveArray( length[i] ); + } + clog << endl << endl; + + for( size_t i=0 ; i<length.size() ; ++i ) + { + clog << "Testing with size " << length[i] << endl; + testRidiculouslyMassiveArray2( length[i] ); + } +} diff --git a/src/boost/libs/numeric/odeint/examples/multiprecision/Jamfile b/src/boost/libs/numeric/odeint/examples/multiprecision/Jamfile new file mode 100644 index 000000000..9708d4340 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/multiprecision/Jamfile @@ -0,0 +1,16 @@ +# Copyright 2011-2013 Mario Mulansky +# Copyright 2012 Karsten Ahnert +# 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) + + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + : + ; + + +exe lorenz_mp : lorenz_mp.cpp ; +exe cmp_precision : cmp_precision.cpp ; diff --git a/src/boost/libs/numeric/odeint/examples/multiprecision/cmp_precision.cpp b/src/boost/libs/numeric/odeint/examples/multiprecision/cmp_precision.cpp new file mode 100644 index 000000000..779b5e290 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/multiprecision/cmp_precision.cpp @@ -0,0 +1,68 @@ +/* Boost libs/numeric/odeint/examples/multiprecision/cmp_precision.cpp + + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + + example comparing double to multiprecision using Boost.Multiprecision + + 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 <boost/numeric/odeint.hpp> +#include <boost/multiprecision/cpp_dec_float.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +typedef boost::multiprecision::cpp_dec_float_50 mp_50; + +/* we solve the simple ODE x' = 3/(2t^2) + x/(2t) + * with initial condition x(1) = 0. + * Analytic solution is x(t) = sqrt(t) - 1/t + */ + +void rhs_m( const mp_50 x , mp_50 &dxdt , const mp_50 t ) +{ // version for multiprecision + dxdt = mp_50(3)/(mp_50(2)*t*t) + x/(mp_50(2)*t); +} + +void rhs_d( const double x , double &dxdt , const double t ) +{ // version for double precision + dxdt = 3.0/(2.0*t*t) + x/(2.0*t); +} + +// state_type = mp_50 = deriv_type = time_type = mp_50 +typedef runge_kutta4< mp_50 , mp_50 , mp_50 , mp_50 , vector_space_algebra , default_operations , never_resizer > stepper_type_m; + +typedef runge_kutta4< double , double , double , double , vector_space_algebra , default_operations , never_resizer > stepper_type_d; + +int main() +{ + + stepper_type_m stepper_m; + stepper_type_d stepper_d; + + mp_50 dt_m( 0.5 ); + double dt_d( 0.5 ); + + cout << "dt" << '\t' << "mp" << '\t' << "double" << endl; + + while( dt_m > 1E-20 ) + { + + mp_50 x_m = 0; //initial value x(1) = 0 + stepper_m.do_step( rhs_m , x_m , mp_50( 1 ) , dt_m ); + double x_d = 0; + stepper_d.do_step( rhs_d , x_d , 1.0 , dt_d ); + + cout << dt_m << '\t'; + cout << abs((x_m - (sqrt(1+dt_m)-mp_50(1)/(1+dt_m)))/x_m) << '\t' ; + cout << abs((x_d - (sqrt(1+dt_d)-mp_50(1)/(1+dt_d)))/x_d) << endl ; + dt_m /= 2; + dt_d /= 2; + } +} diff --git a/src/boost/libs/numeric/odeint/examples/multiprecision/lorenz_mp.cpp b/src/boost/libs/numeric/odeint/examples/multiprecision/lorenz_mp.cpp new file mode 100644 index 000000000..c3e5b82e8 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/multiprecision/lorenz_mp.cpp @@ -0,0 +1,81 @@ +/* + * lorenz_mp.cpp + * + * This example demonstrates how odeint can be used with boost.multiprecision. + * + * Copyright 2011-2012 Karsten Ahnert + * Copyright 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> + +//[ mp_lorenz_defs +#include <boost/numeric/odeint.hpp> +#include <boost/multiprecision/cpp_dec_float.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +typedef boost::multiprecision::cpp_dec_float_50 value_type; + +typedef boost::array< value_type , 3 > state_type; +//] + +//[ mp_lorenz_rhs +struct lorenz +{ + void operator()( const state_type &x , state_type &dxdt , value_type t ) const + { + const value_type sigma( 10 ); + const value_type R( 28 ); + const value_type b( value_type( 8 ) / value_type( 3 ) ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; +//] + + + + +struct streaming_observer +{ + std::ostream& m_out; + + streaming_observer( std::ostream &out ) : m_out( out ) { } + + template< class State , class Time > + void operator()( const State &x , Time t ) const + { + m_out << t; + for( size_t i=0 ; i<x.size() ; ++i ) m_out << "\t" << x[i] ; + m_out << "\n"; + } +}; + + + + + + +int main( int argc , char **argv ) +{ + //[ mp_lorenz_int + state_type x = {{ value_type( 10.0 ) , value_type( 10.0 ) , value_type( 10.0 ) }}; + + cout.precision( 50 ); + integrate_const( runge_kutta4< state_type , value_type >() , + lorenz() , x , value_type( 0.0 ) , value_type( 10.0 ) , value_type( value_type( 1.0 ) / value_type( 10.0 ) ) , + streaming_observer( cout ) ); + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/my_vector.cpp b/src/boost/libs/numeric/odeint/examples/my_vector.cpp new file mode 100644 index 000000000..746dfaada --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/my_vector.cpp @@ -0,0 +1,114 @@ +/* + * Copyright 2011-2012 Mario Mulansky + * Copyright 2012-2013 Karsten Ahnert + * + * 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) + * + * Example for self defined vector type. + */ + +#include <vector> + +#include <boost/numeric/odeint.hpp> + +//[my_vector +template< size_t MAX_N > +class my_vector +{ + typedef std::vector< double > vector; + +public: + typedef vector::iterator iterator; + typedef vector::const_iterator const_iterator; + +public: + my_vector( const size_t N ) + : m_v( N ) + { + m_v.reserve( MAX_N ); + } + + my_vector() + : m_v() + { + m_v.reserve( MAX_N ); + } + +// ... [ implement container interface ] +//] + const double & operator[]( const size_t n ) const + { return m_v[n]; } + + double & operator[]( const size_t n ) + { return m_v[n]; } + + iterator begin() + { return m_v.begin(); } + + const_iterator begin() const + { return m_v.begin(); } + + iterator end() + { return m_v.end(); } + + const_iterator end() const + { return m_v.end(); } + + size_t size() const + { return m_v.size(); } + + void resize( const size_t n ) + { m_v.resize( n ); } + +private: + std::vector< double > m_v; + +}; + +//[my_vector_resizeable +// define my_vector as resizeable + +namespace boost { namespace numeric { namespace odeint { + +template<size_t N> +struct is_resizeable< my_vector<N> > +{ + typedef boost::true_type type; + static const bool value = type::value; +}; + +} } } +//] + + +typedef my_vector<3> state_type; + +void lorenz( const state_type &x , state_type &dxdt , const double t ) +{ + const double sigma( 10.0 ); + const double R( 28.0 ); + const double b( 8.0 / 3.0 ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; +} + +using namespace boost::numeric::odeint; + +int main() +{ + state_type x(3); + x[0] = 5.0 ; x[1] = 10.0 ; x[2] = 10.0; + + // make sure resizing is ON + BOOST_STATIC_ASSERT( is_resizeable<state_type>::value == true ); + + // my_vector works with range_algebra as it implements + // the required parts of a container interface + // no further work is required + + integrate_const( runge_kutta4< state_type >() , lorenz , x , 0.0 , 10.0 , 0.1 ); +} diff --git a/src/boost/libs/numeric/odeint/examples/nt2/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/nt2/Jamfile.v2 new file mode 100644 index 000000000..05847cd17 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/nt2/Jamfile.v2 @@ -0,0 +1,34 @@ +#============================================================================== +# Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +# Copyright 2014 NumScale SAS +# +# Distributed under the Boost Software License, Version 1.0. +# See accompanying file LICENSE.txt or copy at +# http://www.boost.org/LICENSE_1_0.txt +#============================================================================== + +use-project boost : $(BOOST_ROOT) ; + +import os ; + +# This must be built using an NT2 installation. +# NT2_ROOT_PATH should point to the build directory. +# Currently, cxxflags needs to be set to the required architecture +# if using avx/avx2, set the environemnt variable NT2_SIMD_FLAGS to the +# required value for your compiler (i.e. -mavx2 on g++) +# If using sse2/3/4 in 64 bits, this is set automatically. + +local NT2_ROOT_PATH = [ os.environ NT2_ROOT_PATH ] ; +local NT2_SIMD_FLAGS = [ os.environ NT2_SIMD_FLAGS ] ; + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + <include>$(NT2_ROOT_PATH)/include/ + <link>static + <toolset>gcc:<cxxflags>-DBOOST_SIMD_NO_STRICT_ALIASING + <toolset>gcc:<cxxflags>-fno-strict-aliasing + <cxxflags>$(NT2_SIMD_FLAGS) + ; + +exe phase_oscillator_ensemble : phase_oscillator_ensemble.cpp ; diff --git a/src/boost/libs/numeric/odeint/examples/nt2/phase_oscillator_ensemble.cpp b/src/boost/libs/numeric/odeint/examples/nt2/phase_oscillator_ensemble.cpp new file mode 100644 index 000000000..1f28623cd --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/nt2/phase_oscillator_ensemble.cpp @@ -0,0 +1,170 @@ +//============================================================================== +// Copyright 2011-2014 Karsten Ahnert +// Copyright 2011-2014 Mario Mulansky +// Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +// Copyright 2014 NumScale SAS +// +// Distributed under the Boost Software License, Version 1.0. +// See accompanying file LICENSE.txt or copy at +// http://www.boost.org/LICENSE_1_0.txt +//============================================================================== + +#include <iostream> +#include <utility> + +#include <boost/numeric/odeint.hpp> + +#ifndef M_PI //not there on windows +#define M_PI 3.141592653589793 //... +#endif + +#include <boost/random.hpp> +#include <boost/dispatch/meta/as_integer.hpp> + +#include <nt2/include/functions/cos.hpp> +#include <nt2/include/functions/sin.hpp> +#include <nt2/include/functions/atan2.hpp> +#include <nt2/table.hpp> +#include <nt2/include/functions/zeros.hpp> +#include <nt2/include/functions/sum.hpp> +#include <nt2/include/functions/mean.hpp> +#include <nt2/arithmetic/include/functions/hypot.hpp> +#include <nt2/include/functions/tie.hpp> + +#include <boost/numeric/odeint/external/nt2/nt2_algebra_dispatcher.hpp> + + +using namespace std; +using namespace boost::numeric::odeint; + +template <typename container_type, typename T> +pair< T, T > calc_mean_field( const container_type &x ) + +{ + T cos_sum = 0.0 , sin_sum = 0.0; + + nt2::tie(cos_sum,sin_sum) = nt2::tie(nt2::mean( nt2::cos(x) ), nt2::mean( nt2::sin(x) )); + + T K = nt2::hypot(sin_sum,cos_sum); + T Theta = nt2::atan2( sin_sum , cos_sum ); + + return make_pair( K , Theta ); +} + +template <typename container_type, typename T> +struct phase_ensemble +{ + typedef typename boost::dispatch::meta::as_integer<T,unsigned>::type int_type; + container_type m_omega; + T m_epsilon; + + phase_ensemble( const int_type n , T g = 1.0 , T epsilon = 1.0 ) + : m_epsilon( epsilon ) + { + m_omega = nt2::zeros(nt2::of_size(n), nt2::meta::as_<T>()); + create_frequencies( g ); + } + + void create_frequencies( T g ) + { + boost::mt19937 rng; + boost::cauchy_distribution<> cauchy( 0.0 , g ); + boost::variate_generator< boost::mt19937&, boost::cauchy_distribution<> > gen( rng , cauchy ); + generate( m_omega.begin() , m_omega.end() , gen ); +} + + void set_epsilon( T epsilon ) { m_epsilon = epsilon; } + + T get_epsilon( void ) const { return m_epsilon; } + + void operator()( const container_type &x , container_type &dxdt , T ) const + { + pair< T, T > mean = calc_mean_field<container_type,T>( x ); + dxdt = m_omega + m_epsilon * mean.first * nt2::sin( mean.second - x ); + } +}; + +template<typename T> +struct statistics_observer +{ + typedef typename boost::dispatch::meta::as_integer<T,unsigned>::type int_type; + T m_K_mean; + int_type m_count; + + statistics_observer( void ) + : m_K_mean( 0.0 ) , m_count( 0 ) { } + + template< class State > + void operator()( const State &x , T t ) + { + pair< T, T > mean = calc_mean_field<State,T>( x ); + m_K_mean += mean.first; + ++m_count; + } + + T get_K_mean( void ) const { return ( m_count != 0 ) ? m_K_mean / T( m_count ) : 0.0 ; } + + void reset( void ) { m_K_mean = 0.0; m_count = 0; } +}; + +template<typename T> +struct test_ode_table +{ + typedef nt2::table<T> array_type; + typedef void experiment_is_immutable; + + typedef typename boost::dispatch::meta::as_integer<T,unsigned>::type int_type; + + test_ode_table ( ) + : size_(16384), ensemble( size_ , 1.0 ), unif( 0.0 , 2.0 * M_PI ), gen( rng , unif ), obs() + { + x.resize(nt2::of_size(size_)); + } + + void operator()() + { + for( T epsilon = 0.0 ; epsilon < 5.0 ; epsilon += 0.1 ) + { + ensemble.set_epsilon( epsilon ); + obs.reset(); + + // start with random initial conditions + generate( x.begin() , x.end() , gen ); + // calculate some transients steps + integrate_const( runge_kutta4< array_type, T >() , boost::ref( ensemble ) , x , T(0.0) , T(10.0) , dt ); + + // integrate and compute the statistics + integrate_const( runge_kutta4< array_type, T >() , boost::ref( ensemble ) , x , T(0.0) , T(100.0) , dt , boost::ref( obs ) ); + cout << epsilon << "\t" << obs.get_K_mean() << endl; + } + } + + friend std::ostream& operator<<(std::ostream& os, test_ode_table<T> const& p) + { + return os << "(" << p.size() << ")"; + } + + std::size_t size() const { return size_; } + + private: + std::size_t size_; + phase_ensemble<array_type,T> ensemble; + boost::uniform_real<> unif; + array_type x; + boost::mt19937 rng; + boost::variate_generator< boost::mt19937&, boost::uniform_real<> > gen; + statistics_observer<T> obs; + + static const T dt = 0.1; +}; + +int main() +{ + std::cout<< " With T = [double] \n"; + test_ode_table<double> test_double; + test_double(); + + std::cout<< " With T = [float] \n"; + test_ode_table<float> test_float; + test_float(); +} diff --git a/src/boost/libs/numeric/odeint/examples/openmp/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/openmp/Jamfile.v2 new file mode 100644 index 000000000..cef4f670c --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/openmp/Jamfile.v2 @@ -0,0 +1,23 @@ +# Copyright 2011-2013 Mario Mulansky +# Copyright 2012 Karsten Ahnert +# Copyright 2013 Pascal Germroth +# 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) + +use-project /boost : $(BOOST_ROOT) ; +import openmp : * ; + +project + : requirements + <include>.. + <define>BOOST_ALL_NO_LIB=1 + <library>/boost//timer + [ openmp ] + ; + +exe lorenz_ensemble : lorenz_ensemble.cpp ; +exe lorenz_ensemble_simple : lorenz_ensemble_simple.cpp ; +exe lorenz_ensemble_nested : lorenz_ensemble_nested.cpp ; +exe phase_chain : phase_chain.cpp ; +exe phase_chain_omp_state : phase_chain_omp_state.cpp ; diff --git a/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble.cpp b/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble.cpp new file mode 100644 index 000000000..6717a505b --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble.cpp @@ -0,0 +1,91 @@ +/* Boost libs/numeric/odeint/examples/openmp/lorenz_ensemble.cpp + + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + Parallelized Lorenz ensembles + + 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 <omp.h> +#include <vector> +#include <iostream> +#include <iterator> +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/openmp/openmp.hpp> +#include <boost/lexical_cast.hpp> +#include "point_type.hpp" + +using namespace std; +using namespace boost::numeric::odeint; + +typedef point<double, 3> point_type; +typedef vector< point_type > inner_state_type; +typedef openmp_state<point_type> state_type; + +const double sigma = 10.0; +const double b = 8.0 / 3.0; + + +struct sys_func { + const vector<double> &R; + sys_func( vector<double> &R ) : R(R) {} + + void operator()( const state_type &x , state_type &dxdt , double t ) const { +# pragma omp parallel for + for(size_t j = 0 ; j < x.size() ; j++) { + size_t offset = 0; + for(size_t i = 0 ; i < j ; i++) + offset += x[i].size(); + + for(size_t i = 0 ; i < x[j].size() ; i++) { + const point_type &xi = x[j][i]; + point_type &dxdti = dxdt[j][i]; + dxdti[0] = -sigma * (xi[0] - xi[1]); + dxdti[1] = R[offset + i] * xi[0] - xi[1] - xi[0] * xi[2]; + dxdti[2] = -b * xi[2] + xi[0] * xi[1]; + } + } + } +}; + + +int main(int argc, char **argv) { + size_t n = 1024; + if(argc > 1) n = boost::lexical_cast<size_t>(argv[1]); + + vector<double> R(n); + const double Rmin = 0.1, Rmax = 50.0; +# pragma omp parallel for + for(size_t i = 0 ; i < n ; i++) + R[i] = Rmin + (Rmax - Rmin) / (n - 1) * i; + + vector<point_type> inner(n, point_type(10, 10, 10)); + state_type state; + split(inner, state); + + cerr << "openmp_state split " << n << " into"; + for(size_t i = 0 ; i != state.size() ; i++) + cerr << ' ' << state[i].size(); + cerr << endl; + + typedef runge_kutta4< state_type, double > stepper; + + const double t_max = 10.0, dt = 0.01; + + integrate_const( + stepper(), + sys_func(R), + state, + 0.0, t_max, dt + ); + + unsplit(state, inner); + std::copy( inner.begin(), inner.end(), ostream_iterator<point_type>(cout, "\n") ); + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble_nested.cpp b/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble_nested.cpp new file mode 100644 index 000000000..4609c47a4 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble_nested.cpp @@ -0,0 +1,75 @@ +/* Boost libs/numeric/odeint/examples/openmp/lorenz_ensemble_nested.cpp + + Copyright 2013 Karsten Ahnert + Copyright 2013 Pascal Germroth + Copyright 2013 Mario Mulansky + + Parallelized Lorenz ensembles using nested omp algebra + + 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 <omp.h> +#include <vector> +#include <iostream> +#include <iterator> +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/openmp/openmp.hpp> +#include <boost/lexical_cast.hpp> +#include "point_type.hpp" + +using namespace std; +using namespace boost::numeric::odeint; + +typedef point<double, 3> point_type; +typedef vector< point_type > state_type; + +const double sigma = 10.0; +const double b = 8.0 / 3.0; + + +struct sys_func { + const vector<double> &R; + sys_func( vector<double> &R ) : R(R) {} + + void operator()( const state_type &x , state_type &dxdt , double t ) const { +# pragma omp parallel for + for(size_t i = 0 ; i < x.size() ; i++) { + dxdt[i][0] = -sigma * (x[i][0] - x[i][1]); + dxdt[i][1] = R[i] * x[i][0] - x[i][1] - x[i][0] * x[i][2]; + dxdt[i][2] = -b * x[i][2] + x[i][0] * x[i][1]; + } + } +}; + + +int main(int argc, char **argv) { + size_t n = 1024; + if(argc > 1) n = boost::lexical_cast<size_t>(argv[1]); + + vector<double> R(n); + const double Rmin = 0.1, Rmax = 50.0; +# pragma omp parallel for + for(size_t i = 0 ; i < n ; i++) + R[i] = Rmin + (Rmax - Rmin) / (n - 1) * i; + + state_type state( n , point_type(10, 10, 10) ); + + typedef runge_kutta4< state_type, double , state_type , double , + openmp_nested_algebra<vector_space_algebra> > stepper; + + const double t_max = 10.0, dt = 0.01; + + integrate_const( + stepper(), + sys_func(R), + state, + 0.0, t_max, dt + ); + + std::copy( state.begin(), state.end(), ostream_iterator<point_type>(cout, "\n") ); + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble_simple.cpp b/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble_simple.cpp new file mode 100644 index 000000000..fbaf24999 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/openmp/lorenz_ensemble_simple.cpp @@ -0,0 +1,79 @@ +/* Boost libs/numeric/odeint/examples/openmp/lorenz_ensemble_simple.cpp + + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + Parallelized Lorenz ensembles + + 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 <omp.h> +#include <vector> +#include <iostream> +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/openmp/openmp.hpp> +#include "point_type.hpp" + +using namespace std; + +typedef vector<double> vector_type; +typedef point<double, 3> point_type; +typedef vector<point_type> 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 { + const size_t n = x.size(); +# pragma omp parallel for + for(size_t i = 0 ; i < n ; i++) { + const point_type &xi = x[i]; + point_type &dxdti = dxdt[i]; + dxdti[0] = -sigma * (xi[0] - xi[1]); + dxdti[1] = R[i] * xi[0] - xi[1] - xi[0] * xi[2]; + dxdti[2] = -b * xi[2] + xi[0] * xi[1]; + } + } +}; + + +int main() { + using namespace boost::numeric::odeint; + + const size_t n = 1024; + vector_type R(n); + const double Rmin = 0.1, Rmax = 50.0; +# pragma omp parallel for + for(size_t i = 0 ; i < n ; i++) + R[i] = Rmin + (Rmax - Rmin) / (n - 1) * i; + + state_type X(n, point_type(10, 10, 10)); + + const double t_max = 10.0, dt = 0.01; + + // Simple stepper with constant step size + // typedef runge_kutta4<state_type, double, state_type, double, + // openmp_range_algebra> stepper; + + // integrate_const(stepper(), sys_func(R), X, 0.0, t_max, dt); + + // Controlled stepper with variable step size + typedef runge_kutta_fehlberg78<state_type, double, state_type, double, + openmp_range_algebra> error_stepper_type; + typedef controlled_runge_kutta<error_stepper_type> controlled_stepper_type; + controlled_stepper_type controlled_stepper; + + integrate_adaptive(controlled_stepper, sys_func(R), X, 0.0, t_max, dt); + + copy( X.begin(), X.end(), ostream_iterator<point_type>(cout, "\n") ); + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/openmp/openmp.jam b/src/boost/libs/numeric/odeint/examples/openmp/openmp.jam new file mode 100644 index 000000000..226bcf577 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/openmp/openmp.jam @@ -0,0 +1,52 @@ +# Copyright 2013 Karsten Ahnert +# Copyright 2013 Mario Mulansky +# Copyright 2013 Pascal Germroth +# 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) + + +# Only builds target with supported OpenMP enabled toolsets. +# +# use as: +# exe omp : omp.cpp : [ openmp ] ; +# +rule openmp return + # default + <build>no + # GNU C++ + <toolset>gcc:<cxxflags>-fopenmp + <toolset>gcc:<linkflags>-fopenmp + <toolset>gcc:<build>yes + # Microsoft Visual C++ + <toolset>msvc:<cxxflags>/openmp + <toolset>msvc:<linkflags>/openmp + <toolset>msvc:<build>yes + # Intel C++ + <toolset>intel-linux:<cxxflags>-openmp + <toolset>intel-linux:<linkflags>-openmp + <toolset>intel-linux:<build>yes + <toolset>intel-win:<cxxflags>-Qopenmp + <toolset>intel-win:<linkflags>-Qopenmp + <toolset>intel-win:<build>yes + # HP aC++ + <toolset>acc:<cxxflags>+Oopenmp + <toolset>acc:<linkflags>+Oopenmp + <toolset>acc:<build>yes + # Sun Studio + <toolset>sun:<cxxflags>-xopenmp + <toolset>sun:<linkflags>-xopenmp + <toolset>sun:<build>yes + # IBM XL + <toolset>vacpp:<cxxflags>-qsmp=omp + <toolset>vacpp:<linkflags>-qsmp=omp + <toolset>vacpp:<build>yes + # PG++ + <toolset>pgi:<cxxflags>-mp + <toolset>pgi:<linkflags>-mp + <toolset>pgi:<build>yes + # Pathscale + <toolset>pathscale:<cxxflags>-mp + <toolset>pathscale:<linkflags>-mp + <toolset>pathscale:<build>yes + ; diff --git a/src/boost/libs/numeric/odeint/examples/openmp/phase_chain.cpp b/src/boost/libs/numeric/odeint/examples/openmp/phase_chain.cpp new file mode 100644 index 000000000..08876fcce --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/openmp/phase_chain.cpp @@ -0,0 +1,95 @@ +/* + * phase_chain.cpp + * + * Example of OMP parallelization with odeint + * + * Copyright 2013 Karsten Ahnert + * Copyright 2013 Mario Mulansky + * Copyright 2013 Pascal Germroth + * 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 <vector> +#include <boost/random.hpp> +#include <boost/timer/timer.hpp> +//[phase_chain_openmp_header +#include <omp.h> +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/openmp/openmp.hpp> +//] + +using namespace std; +using namespace boost::numeric::odeint; +using boost::timer::cpu_timer; +using boost::math::double_constants::pi; + +//[phase_chain_vector_state +typedef std::vector< double > state_type; +//] + +//[phase_chain_rhs +struct phase_chain +{ + phase_chain( double gamma = 0.5 ) + : m_gamma( gamma ) { } + + void operator()( const state_type &x , state_type &dxdt , double /* t */ ) const + { + const size_t N = x.size(); + #pragma omp parallel for schedule(runtime) + for(size_t i = 1 ; i < N - 1 ; ++i) + { + dxdt[i] = coupling_func( x[i+1] - x[i] ) + + coupling_func( x[i-1] - x[i] ); + } + dxdt[0 ] = coupling_func( x[1 ] - x[0 ] ); + dxdt[N-1] = coupling_func( x[N-2] - x[N-1] ); + } + + double coupling_func( double x ) const + { + return sin( x ) - m_gamma * ( 1.0 - cos( x ) ); + } + + double m_gamma; +}; +//] + + +int main( int argc , char **argv ) +{ + //[phase_chain_init + size_t N = 131101; + state_type x( N ); + boost::random::uniform_real_distribution<double> distribution( 0.0 , 2.0*pi ); + boost::random::mt19937 engine( 0 ); + generate( x.begin() , x.end() , boost::bind( distribution , engine ) ); + //] + + //[phase_chain_stepper + typedef runge_kutta4< + state_type , double , + state_type , double , + openmp_range_algebra + > stepper_type; + //] + + //[phase_chain_scheduling + int chunk_size = N/omp_get_max_threads(); + omp_set_schedule( omp_sched_static , chunk_size ); + //] + + cpu_timer timer; + //[phase_chain_integrate + integrate_n_steps( stepper_type() , phase_chain( 1.2 ) , + x , 0.0 , 0.01 , 100 ); + //] + double run_time = static_cast<double>(timer.elapsed().wall) * 1.0e-9; + std::cerr << run_time << "s" << std::endl; + // copy(x.begin(), x.end(), ostream_iterator<double>(cout, "\n")); + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/openmp/phase_chain_omp_state.cpp b/src/boost/libs/numeric/odeint/examples/openmp/phase_chain_omp_state.cpp new file mode 100644 index 000000000..8627f58ad --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/openmp/phase_chain_omp_state.cpp @@ -0,0 +1,98 @@ +/* + * phase_chain_omp_state.cpp + * + * Example of OMP parallelization with odeint + * + * Copyright 2013 Karsten Ahnert + * Copyright 2013 Mario Mulansky + * Copyright 2013 Pascal Germroth + * 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 <vector> +#include <boost/random.hpp> +#include <boost/timer/timer.hpp> +#include <omp.h> +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/openmp/openmp.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; +using boost::timer::cpu_timer; +using boost::math::double_constants::pi; + +typedef openmp_state<double> state_type; + +//[phase_chain_state_rhs +struct phase_chain_omp_state +{ + phase_chain_omp_state( double gamma = 0.5 ) + : m_gamma( gamma ) { } + + void operator()( const state_type &x , state_type &dxdt , double /* t */ ) const + { + const size_t N = x.size(); + #pragma omp parallel for schedule(runtime) + for(size_t n = 0 ; n < N ; ++n) + { + const size_t M = x[n].size(); + for(size_t m = 1 ; m < M-1 ; ++m) + { + dxdt[n][m] = coupling_func( x[n][m+1] - x[n][m] ) + + coupling_func( x[n][m-1] - x[n][m] ); + } + dxdt[n][0] = coupling_func( x[n][1] - x[n][0] ); + if( n > 0 ) + { + dxdt[n][0] += coupling_func( x[n-1].back() - x[n].front() ); + } + dxdt[n][M-1] = coupling_func( x[n][M-2] - x[n][M-1] ); + if( n < N-1 ) + { + dxdt[n][M-1] += coupling_func( x[n+1].front() - x[n].back() ); + } + } + } + + double coupling_func( double x ) const + { + return sin( x ) - m_gamma * ( 1.0 - cos( x ) ); + } + + double m_gamma; +}; +//] + + +int main( int argc , char **argv ) +{ + //[phase_chain_state_init + const size_t N = 131101; + vector<double> x( N ); + boost::random::uniform_real_distribution<double> distribution( 0.0 , 2.0*pi ); + boost::random::mt19937 engine( 0 ); + generate( x.begin() , x.end() , boost::bind( distribution , engine ) ); + const size_t blocks = omp_get_max_threads(); + state_type x_split( blocks ); + split( x , x_split ); + //] + + + cpu_timer timer; + //[phase_chain_state_integrate + integrate_n_steps( runge_kutta4<state_type>() , phase_chain_omp_state( 1.2 ) , + x_split , 0.0 , 0.01 , 100 ); + unsplit( x_split , x ); + //] + + double run_time = static_cast<double>(timer.elapsed().wall) * 1.0e-9; + std::cerr << run_time << "s" << std::endl; + // copy(x.begin(), x.end(), ostream_iterator<double>(cout, "\n")); + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/phase_oscillator_ensemble.cpp b/src/boost/libs/numeric/odeint/examples/phase_oscillator_ensemble.cpp new file mode 100644 index 000000000..090fd587b --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/phase_oscillator_ensemble.cpp @@ -0,0 +1,151 @@ +/* + * phase_oscillator_ensemble.cpp + * + * Demonstrates the phase transition from an unsynchronized to an synchronized state. + * + * Copyright 2011-2012 Karsten Ahnert + * Copyright 2011-2012 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 <utility> + +#include <boost/numeric/odeint.hpp> + +#ifndef M_PI //not there on windows +#define M_PI 3.141592653589793 //... +#endif + +#include <boost/random.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +//[ phase_oscillator_ensemble_system_function +typedef vector< double > container_type; + + +pair< double , double > calc_mean_field( const container_type &x ) +{ + size_t n = x.size(); + double cos_sum = 0.0 , sin_sum = 0.0; + for( size_t i=0 ; i<n ; ++i ) + { + cos_sum += cos( x[i] ); + sin_sum += sin( x[i] ); + } + cos_sum /= double( n ); + sin_sum /= double( n ); + + double K = sqrt( cos_sum * cos_sum + sin_sum * sin_sum ); + double Theta = atan2( sin_sum , cos_sum ); + + return make_pair( K , Theta ); +} + + +struct phase_ensemble +{ + container_type m_omega; + double m_epsilon; + + phase_ensemble( const size_t n , double g = 1.0 , double epsilon = 1.0 ) + : m_omega( n , 0.0 ) , m_epsilon( epsilon ) + { + create_frequencies( g ); + } + + void create_frequencies( double g ) + { + boost::mt19937 rng; + boost::cauchy_distribution<> cauchy( 0.0 , g ); + boost::variate_generator< boost::mt19937&, boost::cauchy_distribution<> > gen( rng , cauchy ); + generate( m_omega.begin() , m_omega.end() , gen ); + } + + void set_epsilon( double epsilon ) { m_epsilon = epsilon; } + + double get_epsilon( void ) const { return m_epsilon; } + + void operator()( const container_type &x , container_type &dxdt , double /* t */ ) const + { + pair< double , double > mean = calc_mean_field( x ); + for( size_t i=0 ; i<x.size() ; ++i ) + dxdt[i] = m_omega[i] + m_epsilon * mean.first * sin( mean.second - x[i] ); + } +}; +//] + + + +//[ phase_oscillator_ensemble_observer +struct statistics_observer +{ + double m_K_mean; + size_t m_count; + + statistics_observer( void ) + : m_K_mean( 0.0 ) , m_count( 0 ) { } + + template< class State > + void operator()( const State &x , double t ) + { + pair< double , double > mean = calc_mean_field( x ); + m_K_mean += mean.first; + ++m_count; + } + + double get_K_mean( void ) const { return ( m_count != 0 ) ? m_K_mean / double( m_count ) : 0.0 ; } + + void reset( void ) { m_K_mean = 0.0; m_count = 0; } +}; +//] + + + + + + + + +int main( int argc , char **argv ) +{ + //[ phase_oscillator_ensemble_integration + const size_t n = 16384; + const double dt = 0.1; + + container_type x( n ); + + boost::mt19937 rng; + boost::uniform_real<> unif( 0.0 , 2.0 * M_PI ); + boost::variate_generator< boost::mt19937&, boost::uniform_real<> > gen( rng , unif ); + + // gamma = 1, the phase transition occurs at epsilon = 2 + phase_ensemble ensemble( n , 1.0 ); + statistics_observer obs; + + for( double epsilon = 0.0 ; epsilon < 5.0 ; epsilon += 0.1 ) + { + ensemble.set_epsilon( epsilon ); + obs.reset(); + + // start with random initial conditions + generate( x.begin() , x.end() , gen ); + + // calculate some transients steps + integrate_const( runge_kutta4< container_type >() , boost::ref( ensemble ) , x , 0.0 , 10.0 , dt ); + + // integrate and compute the statistics + integrate_const( runge_kutta4< container_type >() , boost::ref( ensemble ) , x , 0.0 , 100.0 , dt , boost::ref( obs ) ); + cout << epsilon << "\t" << obs.get_K_mean() << endl; + } + + + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/point_type.hpp b/src/boost/libs/numeric/odeint/examples/point_type.hpp new file mode 100644 index 000000000..088751108 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/point_type.hpp @@ -0,0 +1,177 @@ +/* Boost libs/numeric/odeint/examples/point_type.hpp + + Copyright 2010-2012 Karsten Ahnert + Copyright 2011 Mario Mulansky + + solar system example for Hamiltonian stepper + + 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 POINT_TYPE_HPP_INCLUDED +#define POINT_TYPE_HPP_INCLUDED + + +#include <boost/operators.hpp> +#include <ostream> + + +//[ point_type +/*the point type */ +template< class T , size_t Dim > +class point : + boost::additive1< point< T , Dim > , + boost::additive2< point< T , Dim > , T , + boost::multiplicative2< point< T , Dim > , T + > > > + { + public: + + const static size_t dim = Dim; + typedef T value_type; + typedef point< value_type , dim > point_type; + + // ... + // constructors + //<- + point( void ) + { + for( size_t i=0 ; i<dim ; ++i ) m_val[i] = 0.0; + } + + point( value_type val ) + { + for( size_t i=0 ; i<dim ; ++i ) m_val[i] = val; + } + + point( value_type x , value_type y , value_type z = 0.0 ) + { + if( dim > 0 ) m_val[0] = x; + if( dim > 1 ) m_val[1] = y; + if( dim > 2 ) m_val[2] = z; + } + //-> + + // ... + // operators + //<- + T operator[]( size_t i ) const { return m_val[i]; } + T& operator[]( size_t i ) { return m_val[i]; } + + point_type& operator+=( const point_type& p ) + { + for( size_t i=0 ; i<dim ; ++i ) + m_val[i] += p[i]; + return *this; + } + + point_type& operator-=( const point_type& p ) + { + for( size_t i=0 ; i<dim ; ++i ) + m_val[i] -= p[i]; + return *this; + } + + point_type& operator+=( const value_type& val ) + { + for( size_t i=0 ; i<dim ; ++i ) + m_val[i] += val; + return *this; + } + + point_type& operator-=( const value_type& val ) + { + for( size_t i=0 ; i<dim ; ++i ) + m_val[i] -= val; + return *this; + } + + point_type& operator*=( const value_type &val ) + { + for( size_t i=0 ; i<dim ; ++i ) + m_val[i] *= val; + return *this; + } + + point_type& operator/=( const value_type &val ) + { + for( size_t i=0 ; i<dim ; ++i ) + m_val[i] /= val; + return *this; + } + + //-> + + private: + + T m_val[dim]; + }; + + //... + // more operators + //] + + // + // the - operator + // + template< class T , size_t Dim > + point< T , Dim > operator-( const point< T , Dim > &p ) + { + point< T , Dim > tmp; + for( size_t i=0 ; i<Dim ; ++i ) tmp[i] = -p[i]; + return tmp; + } + + // + // scalar product + // + template< class T , size_t Dim > + T scalar_prod( const point< T , Dim > &p1 , const point< T , Dim > &p2 ) + { + T tmp = 0.0; + for( size_t i=0 ; i<Dim ; ++i ) tmp += p1[i] * p2[i]; + return tmp; + } + + + + // + // norm + // + template< class T , size_t Dim > + T norm( const point< T , Dim > &p1 ) + { + return scalar_prod( p1 , p1 ); + } + + + + + // + // absolute value + // + template< class T , size_t Dim > + T abs( const point< T , Dim > &p1 ) + { + return sqrt( norm( p1 ) ); + } + + + + + // + // output operator + // + template< class T , size_t Dim > + std::ostream& operator<<( std::ostream &out , const point< T , Dim > &p ) + { + if( Dim > 0 ) out << p[0]; + for( size_t i=1 ; i<Dim ; ++i ) out << " " << p[i]; + return out; + } + + + +#endif //POINT_TYPE_HPP_INCLUDED diff --git a/src/boost/libs/numeric/odeint/examples/quadmath/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/quadmath/Jamfile.v2 new file mode 100644 index 000000000..88a046325 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/quadmath/Jamfile.v2 @@ -0,0 +1,16 @@ +# Copyright 2011 Mario Mulansky +# Copyright 2012 Karsten Ahnert +# 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) + + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + : + ; + +lib quadmath : : <name>quadmath <link>shared ; + +exe black_hole : black_hole.cpp quadmath : <cxxflags>-std=c++0x ;
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/examples/quadmath/black_hole.cpp b/src/boost/libs/numeric/odeint/examples/quadmath/black_hole.cpp new file mode 100644 index 000000000..5a6802af0 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/quadmath/black_hole.cpp @@ -0,0 +1,151 @@ +/* + [auto_generated] + libs/numeric/odeint/examples/black_hole.cpp + + [begin_description] + This example shows how the __float128 from gcc libquadmath can be used with odeint. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 Lee Hodgkinson + Copyright 2012 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 <cstdlib> +#include <cmath> +#include <iostream> +#include <iterator> +#include <utility> +#include <algorithm> +#include <cassert> +#include <vector> +#include <complex> + +extern "C" { +#include <quadmath.h> +} + +const __float128 zero =strtoflt128 ("0.0", NULL); + +namespace std { + + inline __float128 abs( __float128 x ) + { + return fabsq( x ); + } + + inline __float128 sqrt( __float128 x ) + { + return sqrtq( x ); + } + + inline __float128 pow( __float128 x , __float128 y ) + { + return powq( x , y ); + } + + inline __float128 abs( std::complex< __float128 > x ) + { + return sqrtq( x.real() * x.real() + x.imag() * x.imag() ); + } + + inline std::complex< __float128 > pow( std::complex< __float128> x , __float128 y ) + { + __float128 r = pow( abs(x) , y ); + __float128 phi = atanq( x.imag() / x.real() ); + return std::complex< __float128 >( r * cosq( y * phi ) , r * sinq( y * phi ) ); + } +} + +inline std::ostream& operator<< (std::ostream& os, const __float128& f) { + + char* y = new char[1000]; + quadmath_snprintf(y, 1000, "%.30Qg", f) ; + os.precision(30); + os<<y; + delete[] y; + return os; +} + + +#include <boost/array.hpp> +#include <boost/range/algorithm.hpp> +#include <boost/range/adaptor/filtered.hpp> +#include <boost/range/numeric.hpp> +#include <boost/numeric/odeint.hpp> + + + +using namespace boost::numeric::odeint; +using namespace std; + +typedef __float128 my_float; +typedef std::vector< std::complex < my_float > > state_type; + +struct radMod +{ + my_float m_om; + my_float m_l; + + radMod( my_float om , my_float l ) + : m_om( om ) , m_l( l ) { } + + void operator()( const state_type &x , state_type &dxdt , my_float r ) const + { + + dxdt[0] = x[1]; + dxdt[1] = -(2*(r-1)/(r*(r-2)))*x[1]-((m_om*m_om*r*r/((r-2)*(r-2)))-(m_l*(m_l+1)/(r*(r-2))))*x[0]; + } +}; + + + + + + + +int main( int argc , char **argv ) +{ + + + state_type x(2); + + my_float re0 = strtoflt128( "-0.00008944230755601224204687038354994353820468" , NULL ); + my_float im0 = strtoflt128( "0.00004472229441850588228136889483397204368247" , NULL ); + my_float re1 = strtoflt128( "-4.464175354293244250869336196695966076150E-6 " , NULL ); + my_float im1 = strtoflt128( "-8.950483248390306670770345406051469584488E-6" , NULL ); + + x[0] = complex< my_float >( re0 ,im0 ); + x[1] = complex< my_float >( re1 ,im1 ); + + const my_float dt =strtoflt128 ("-0.001", NULL); + const my_float start =strtoflt128 ("10000.0", NULL); + const my_float end =strtoflt128 ("9990.0", NULL); + const my_float omega =strtoflt128 ("2.0", NULL); + const my_float ell =strtoflt128 ("1.0", NULL); + + + + my_float abs_err = strtoflt128( "1.0E-15" , NULL ) , rel_err = strtoflt128( "1.0E-10" , NULL ); + my_float a_x = strtoflt128( "1.0" , NULL ) , a_dxdt = strtoflt128( "1.0" , NULL ); + + typedef runge_kutta_dopri5< state_type, my_float > dopri5_type; + typedef controlled_runge_kutta< dopri5_type > controlled_dopri5_type; + typedef dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type; + + dense_output_dopri5_type dopri5( controlled_dopri5_type( default_error_checker< my_float >( abs_err , rel_err , a_x , a_dxdt ) ) ); + + std::for_each( make_adaptive_time_iterator_begin(dopri5 , radMod(omega , ell) , x , start , end , dt) , + make_adaptive_time_iterator_end(dopri5 , radMod(omega , ell) , x ) , + []( const std::pair< state_type&, my_float > &x ) { + std::cout << x.second << ", " << x.first[0].real() << "\n"; } + ); + + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/resizing_lattice.cpp b/src/boost/libs/numeric/odeint/examples/resizing_lattice.cpp new file mode 100644 index 000000000..f77f26e5d --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/resizing_lattice.cpp @@ -0,0 +1,169 @@ +/* + * resizing_lattice.cpp + * + * Demonstrates the usage of resizing of the state type during integration. + * Examplary system is a strongly nonlinear, disordered Hamiltonian lattice + * where the spreading of energy is investigated + * + * Copyright 2011-2012 Mario Mulansky + * Copyright 2012-2013 Karsten Ahnert + * 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 <utility> + +#include <boost/numeric/odeint.hpp> + +#include <boost/ref.hpp> +#include <boost/random.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +//[ resizing_lattice_system_class +typedef vector< double > coord_type; +typedef pair< coord_type , coord_type > state_type; + +struct compacton_lattice +{ + const int m_max_N; + const double m_beta; + int m_pot_start_index; + vector< double > m_pot; + + compacton_lattice( int max_N , double beta , int pot_start_index ) + : m_max_N( max_N ) , m_beta( beta ) , m_pot_start_index( pot_start_index ) , m_pot( max_N ) + { + srand( time( NULL ) ); + // fill random potential with iid values from [0,1] + boost::mt19937 rng; + boost::uniform_real<> unif( 0.0 , 1.0 ); + boost::variate_generator< boost::mt19937&, boost::uniform_real<> > gen( rng , unif ); + generate( m_pot.begin() , m_pot.end() , gen ); + } + + void operator()( const coord_type &q , coord_type &dpdt ) + { + // calculate dpdt = -dH/dq of this hamiltonian system + // dp_i/dt = - V_i * q_i^3 - beta*(q_i - q_{i-1})^3 + beta*(q_{i+1} - q_i)^3 + const int N = q.size(); + double diff = q[0] - q[N-1]; + for( int i=0 ; i<N ; ++i ) + { + dpdt[i] = - m_pot[m_pot_start_index+i] * q[i]*q[i]*q[i] - + m_beta * diff*diff*diff; + diff = q[(i+1) % N] - q[i]; + dpdt[i] += m_beta * diff*diff*diff; + } + } + + void energy_distribution( const coord_type &q , const coord_type &p , coord_type &energies ) + { + // computes the energy per lattice site normalized by total energy + const size_t N = q.size(); + double en = 0.0; + for( size_t i=0 ; i<N ; i++ ) + { + const double diff = q[(i+1) % N] - q[i]; + energies[i] = p[i]*p[i]/2.0 + + m_pot[m_pot_start_index+i]*q[i]*q[i]*q[i]*q[i]/4.0 + + m_beta/4.0 * diff*diff*diff*diff; + en += energies[i]; + } + en = 1.0/en; + for( size_t i=0 ; i<N ; i++ ) + { + energies[i] *= en; + } + } + + double energy( const coord_type &q , const coord_type &p ) + { + // calculates the total energy of the excitation + const size_t N = q.size(); + double en = 0.0; + for( size_t i=0 ; i<N ; i++ ) + { + const double diff = q[(i+1) % N] - q[i]; + en += p[i]*p[i]/2.0 + + m_pot[m_pot_start_index+i]*q[i]*q[i]*q[i]*q[i] / 4.0 + + m_beta/4.0 * diff*diff*diff*diff; + } + return en; + } + + void change_pot_start( const int delta ) + { + m_pot_start_index += delta; + } +}; +//] + +//[ resizing_lattice_resize_function +void do_resize( coord_type &q , coord_type &p , coord_type &distr , const int N ) +{ + q.resize( N ); + p.resize( N ); + distr.resize( N ); +} +//] + +const int max_N = 1024; +const double beta = 1.0; + +int main() +{ + //[ resizing_lattice_initialize + //start with 60 sites + const int N_start = 60; + coord_type q( N_start , 0.0 ); + q.reserve( max_N ); + coord_type p( N_start , 0.0 ); + p.reserve( max_N ); + // start with uniform momentum distribution over 20 sites + fill( p.begin()+20 , p.end()-20 , 1.0/sqrt(20.0) ); + + coord_type distr( N_start , 0.0 ); + distr.reserve( max_N ); + + // create the system + compacton_lattice lattice( max_N , beta , (max_N-N_start)/2 ); + + //create the stepper, note that we use an always_resizer because state size might change during steps + typedef symplectic_rkn_sb3a_mclachlan< coord_type , coord_type , double , coord_type , coord_type , double , + range_algebra , default_operations , always_resizer > hamiltonian_stepper; + hamiltonian_stepper stepper; + hamiltonian_stepper::state_type state = make_pair( q , p ); + //] + + //[ resizing_lattice_steps_loop + double t = 0.0; + const double dt = 0.1; + const int steps = 10000; + for( int step = 0 ; step < steps ; ++step ) + { + stepper.do_step( boost::ref(lattice) , state , t , dt ); + lattice.energy_distribution( state.first , state.second , distr ); + if( distr[10] > 1E-150 ) + { + do_resize( state.first , state.second , distr , state.first.size()+20 ); + rotate( state.first.begin() , state.first.end()-20 , state.first.end() ); + rotate( state.second.begin() , state.second.end()-20 , state.second.end() ); + lattice.change_pot_start( -20 ); + cout << t << ": resized left to " << distr.size() << ", energy = " << lattice.energy( state.first , state.second ) << endl; + } + if( distr[distr.size()-10] > 1E-150 ) + { + do_resize( state.first , state.second , distr , state.first.size()+20 ); + cout << t << ": resized right to " << distr.size() << ", energy = " << lattice.energy( state.first , state.second ) << endl; + } + t += dt; + } + //] + + cout << "final lattice size: " << distr.size() << ", final energy: " << lattice.energy( state.first , state.second ) << endl; +} diff --git a/src/boost/libs/numeric/odeint/examples/simple1d.cpp b/src/boost/libs/numeric/odeint/examples/simple1d.cpp new file mode 100644 index 000000000..3a8dfa04f --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/simple1d.cpp @@ -0,0 +1,44 @@ +/* Boost libs/numeric/odeint/examples/simple1d.cpp + + Copyright 2012-2013 Mario Mulansky + Copyright 2012 Karsten Ahnert + + example for a simple one-dimensional 1st order ODE + + 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 <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + + +/* we solve the simple ODE x' = 3/(2t^2) + x/(2t) + * with initial condition x(1) = 0. + * Analytic solution is x(t) = sqrt(t) - 1/t + */ + +void rhs( const double x , double &dxdt , const double t ) +{ + dxdt = 3.0/(2.0*t*t) + x/(2.0*t); +} + +void write_cout( const double &x , const double t ) +{ + cout << t << '\t' << x << endl; +} + +// state_type = double +typedef runge_kutta_dopri5< double > stepper_type; + +int main() +{ + double x = 0.0; //initial value x(1) = 0 + // use dopri5 with stepsize control and allowed errors 10^-12, integrate t=1...10 + integrate_adaptive( make_controlled( 1E-12 , 1E-12 , stepper_type() ) , rhs , x , 1.0 , 10.0 , 0.1 , write_cout ); +} diff --git a/src/boost/libs/numeric/odeint/examples/solar_system.agr b/src/boost/libs/numeric/odeint/examples/solar_system.agr new file mode 100644 index 000000000..87f8c38e7 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/solar_system.agr @@ -0,0 +1,12672 @@ +# Grace project file +# +@version 50122 +@page size 792, 612 +@page scroll 5% +@page inout 5% +@link page off +@map font 0 to "Times-Roman", "Times-Roman" +@map font 1 to "Times-Italic", "Times-Italic" +@map font 2 to "Times-Bold", "Times-Bold" +@map font 3 to "Times-BoldItalic", "Times-BoldItalic" +@map font 4 to "Helvetica", "Helvetica" +@map font 5 to "Helvetica-Oblique", "Helvetica-Oblique" +@map font 6 to "Helvetica-Bold", "Helvetica-Bold" +@map font 7 to "Helvetica-BoldOblique", "Helvetica-BoldOblique" +@map font 8 to "Courier", "Courier" +@map font 9 to "Courier-Oblique", 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/dev/null +++ b/src/boost/libs/numeric/odeint/examples/solar_system.cpp @@ -0,0 +1,201 @@ +/* Boost libs/numeric/odeint/examples/solar_system.cpp + + Copyright 2010-2012 Karsten Ahnert + Copyright 2011 Mario Mulansky + + Solar system example for Hamiltonian stepper + + 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 <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + +#include "point_type.hpp" + +//[ container_type_definition +// we simulate 5 planets and the sun +const size_t n = 6; + +typedef point< double , 3 > point_type; +typedef boost::array< point_type , n > container_type; +typedef boost::array< double , n > mass_type; +//] + + + + + + + +//[ coordinate_function +const double gravitational_constant = 2.95912208286e-4; + +struct solar_system_coor +{ + const mass_type &m_masses; + + solar_system_coor( const mass_type &masses ) : m_masses( masses ) { } + + void operator()( const container_type &p , container_type &dqdt ) const + { + for( size_t i=0 ; i<n ; ++i ) + dqdt[i] = p[i] / m_masses[i]; + } +}; +//] + + +//[ momentum_function +struct solar_system_momentum +{ + const mass_type &m_masses; + + solar_system_momentum( const mass_type &masses ) : m_masses( masses ) { } + + void operator()( const container_type &q , container_type &dpdt ) const + { + const size_t n = q.size(); + for( size_t i=0 ; i<n ; ++i ) + { + dpdt[i] = 0.0; + for( size_t j=0 ; j<i ; ++j ) + { + point_type diff = q[j] - q[i]; + double d = abs( diff ); + diff *= ( gravitational_constant * m_masses[i] * m_masses[j] / d / d / d ); + dpdt[i] += diff; + dpdt[j] -= diff; + + } + } + } +}; +//] + + + + + + + +//[ some_helpers +point_type center_of_mass( const container_type &x , const mass_type &m ) +{ + double overall_mass = 0.0; + point_type mean( 0.0 ); + for( size_t i=0 ; i<x.size() ; ++i ) + { + overall_mass += m[i]; + mean += m[i] * x[i]; + } + if( !x.empty() ) mean /= overall_mass; + return mean; +} + + +double energy( const container_type &q , const container_type &p , const mass_type &masses ) +{ + const size_t n = q.size(); + double en = 0.0; + for( size_t i=0 ; i<n ; ++i ) + { + en += 0.5 * norm( p[i] ) / masses[i]; + for( size_t j=0 ; j<i ; ++j ) + { + double diff = abs( q[i] - q[j] ); + en -= gravitational_constant * masses[j] * masses[i] / diff; + } + } + return en; +} +//] + + +//[ streaming_observer +struct streaming_observer +{ + std::ostream& m_out; + + streaming_observer( std::ostream &out ) : m_out( out ) { } + + template< class State > + void operator()( const State &x , double t ) const + { + container_type &q = x.first; + m_out << t; + for( size_t i=0 ; i<q.size() ; ++i ) m_out << "\t" << q[i]; + m_out << "\n"; + } +}; +//] + + +int main( int argc , char **argv ) +{ + + using namespace std; + using namespace boost::numeric::odeint; + + mass_type masses = {{ + 1.00000597682 , // sun + 0.000954786104043 , // jupiter + 0.000285583733151 , // saturn + 0.0000437273164546 , // uranus + 0.0000517759138449 , // neptune + 1.0 / ( 1.3e8 ) // pluto + }}; + + container_type q = {{ + point_type( 0.0 , 0.0 , 0.0 ) , // sun + point_type( -3.5023653 , -3.8169847 , -1.5507963 ) , // jupiter + point_type( 9.0755314 , -3.0458353 , -1.6483708 ) , // saturn + point_type( 8.3101420 , -16.2901086 , -7.2521278 ) , // uranus + point_type( 11.4707666 , -25.7294829 , -10.8169456 ) , // neptune + point_type( -15.5387357 , -25.2225594 , -3.1902382 ) // pluto + }}; + + container_type p = {{ + point_type( 0.0 , 0.0 , 0.0 ) , // sun + point_type( 0.00565429 , -0.00412490 , -0.00190589 ) , // jupiter + point_type( 0.00168318 , 0.00483525 , 0.00192462 ) , // saturn + point_type( 0.00354178 , 0.00137102 , 0.00055029 ) , // uranus + point_type( 0.00288930 , 0.00114527 , 0.00039677 ) , // neptune + point_type( 0.00276725 , -0.00170702 , -0.00136504 ) // pluto + }}; + + point_type qmean = center_of_mass( q , masses ); + point_type pmean = center_of_mass( p , masses ); + for( size_t i=0 ; i<n ; ++i ) + { + q[i] -= qmean ; + p[i] -= pmean; + } + + for( size_t i=0 ; i<n ; ++i ) p[i] *= masses[i]; + + //[ integration_solar_system + typedef symplectic_rkn_sb3a_mclachlan< container_type > stepper_type; + const double dt = 100.0; + + integrate_const( + stepper_type() , + make_pair( solar_system_coor( masses ) , solar_system_momentum( masses ) ) , + make_pair( boost::ref( q ) , boost::ref( p ) ) , + 0.0 , 200000.0 , dt , streaming_observer( cout ) ); + //] + + + return 0; +} + + +/* +Plot with gnuplot: +p "solar_system.dat" u 2:4 w l,"solar_system.dat" u 5:7 w l,"solar_system.dat" u 8:10 w l,"solar_system.dat" u 11:13 w l,"solar_system.dat" u 14:16 w l,"solar_system.dat" u 17:19 w l + */ diff --git a/src/boost/libs/numeric/odeint/examples/stepper_details.cpp b/src/boost/libs/numeric/odeint/examples/stepper_details.cpp new file mode 100644 index 000000000..d4ae8bd1e --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/stepper_details.cpp @@ -0,0 +1,200 @@ +/* + * stepper_details.cpp + * + * This example demonstrates some details about the steppers in odeint. + * + * + * Copyright 2011-2012 Karsten Ahnert + * Copyright 2012 Mario Mulansky + * Copyright 2013 Pascal Germroth + * + * 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 <boost/array.hpp> +#include <boost/bind.hpp> +#include <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +const size_t N = 3; + +typedef boost::array< double , N > state_type; + +//[ system_function_structure +void sys( const state_type & /*x*/ , state_type & /*dxdt*/ , const double /*t*/ ) +{ + // ... +} +//] + +void sys1( const state_type &/*x*/ , state_type &/*dxdt*/ , const double /*t*/ ) +{ +} + +void sys2( const state_type &/*x*/ , state_type &/*dxdt*/ , const double /*t*/ ) +{ +} + + +//[ symplectic_stepper_detail_system_function +typedef boost::array< double , 1 > vector_type; + + +struct harm_osc_f1 +{ + void operator()( const vector_type &p , vector_type &dqdt ) + { + dqdt[0] = p[0]; + } +}; + +struct harm_osc_f2 +{ + void operator()( const vector_type &q , vector_type &dpdt ) + { + dpdt[0] = -q[0]; + } +}; +//] + +//[ symplectic_stepper_detail_system_class +struct harm_osc +{ + void f1( const vector_type &p , vector_type &dqdt ) const + { + dqdt[0] = p[0]; + } + + void f2( const vector_type &q , vector_type &dpdt ) const + { + dpdt[0] = -q[0]; + } +}; +//] + +int main( int argc , char **argv ) +{ + using namespace std; + + // Explicit stepper example + { + double t( 0.0 ) , dt( 0.1 ); + state_type in , out , dxdtin , inout; + //[ explicit_stepper_detail_example + runge_kutta4< state_type > rk; + rk.do_step( sys1 , inout , t , dt ); // In-place transformation of inout + rk.do_step( sys2 , inout , t , dt ); // call with different system: Ok + rk.do_step( sys1 , in , t , out , dt ); // Out-of-place transformation + rk.do_step( sys1 , inout , dxdtin , t , dt ); // In-place tranformation of inout + rk.do_step( sys1 , in , dxdtin , t , out , dt ); // Out-of-place transformation + //] + } + + + + // FSAL stepper example + { + double t( 0.0 ) , dt( 0.1 ); + state_type in , in2 , in3 , out , dxdtin , dxdtout , inout , dxdtinout; + //[ fsal_stepper_detail_example + runge_kutta_dopri5< state_type > rk; + rk.do_step( sys1 , in , t , out , dt ); + rk.do_step( sys2 , in , t , out , dt ); // DONT do this, sys1 is assumed + + rk.do_step( sys2 , in2 , t , out , dt ); + rk.do_step( sys2 , in3 , t , out , dt ); // DONT do this, in2 is assumed + + rk.do_step( sys1 , inout , dxdtinout , t , dt ); + rk.do_step( sys2 , inout , dxdtinout , t , dt ); // Ok, internal derivative is not used, dxdtinout is updated + + rk.do_step( sys1 , in , dxdtin , t , out , dxdtout , dt ); + rk.do_step( sys2 , in , dxdtin , t , out , dxdtout , dt ); // Ok, internal derivative is not used + //] + } + + + // Symplectic harmonic oscillator example + { + double t( 0.0 ) , dt( 0.1 ); + //[ symplectic_stepper_detail_example + pair< vector_type , vector_type > x; + x.first[0] = 1.0; x.second[0] = 0.0; + symplectic_rkn_sb3a_mclachlan< vector_type > rkn; + rkn.do_step( make_pair( harm_osc_f1() , harm_osc_f2() ) , x , t , dt ); + //] + + //[ symplectic_stepper_detail_system_class_example + harm_osc h; + rkn.do_step( make_pair( boost::bind( &harm_osc::f1 , h , _1 , _2 ) , boost::bind( &harm_osc::f2 , h , _1 , _2 ) ) , + x , t , dt ); + //] + } + + // Simplified harmonic oscillator example + { + double t = 0.0, dt = 0.1; + //[ simplified_symplectic_stepper_example + pair< vector_type , vector_type > x; + x.first[0] = 1.0; x.second[0] = 0.0; + symplectic_rkn_sb3a_mclachlan< vector_type > rkn; + rkn.do_step( harm_osc_f1() , x , t , dt ); + //] + + vector_type q = {{ 1.0 }} , p = {{ 0.0 }}; + //[ symplectic_stepper_detail_ref_usage + rkn.do_step( harm_osc_f1() , make_pair( boost::ref( q ) , boost::ref( p ) ) , t , dt ); + rkn.do_step( harm_osc_f1() , q , p , t , dt ); + rkn.do_step( make_pair( harm_osc_f1() , harm_osc_f2() ) , q , p , t , dt ); + //] + } + + // adams_bashforth_moulton stepper example + { + double t = 0.0 , dt = 0.1; + state_type inout; + //[ multistep_detail_example + adams_bashforth_moulton< 5 , state_type > abm; + abm.initialize( sys , inout , t , dt ); + abm.do_step( sys , inout , t , dt ); + //] + + //[ multistep_detail_own_stepper_initialization + abm.initialize( runge_kutta_fehlberg78< state_type >() , sys , inout , t , dt ); + //] + } + + + + // dense output stepper examples + { + double t = 0.0 , dt = 0.1; + state_type in; + //[ dense_output_detail_example + dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > > dense; + dense.initialize( in , t , dt ); + pair< double , double > times = dense.do_step( sys ); + (void)times; + //] + + state_type inout; + double t_start = 0.0 , t_end = 1.0; + //[ dense_output_detail_generation1 + typedef boost::numeric::odeint::result_of::make_dense_output< + runge_kutta_dopri5< state_type > >::type dense_stepper_type; + dense_stepper_type dense2 = make_dense_output( 1.0e-6 , 1.0e-6 , runge_kutta_dopri5< state_type >() ); + (void)dense2; + //] + + //[ dense_output_detail_generation2 + integrate_const( make_dense_output( 1.0e-6 , 1.0e-6 , runge_kutta_dopri5< state_type >() ) , sys , inout , t_start , t_end , dt ); + //] + } + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/stiff_system.cpp b/src/boost/libs/numeric/odeint/examples/stiff_system.cpp new file mode 100644 index 000000000..ca71f6600 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/stiff_system.cpp @@ -0,0 +1,118 @@ +/* + * rosenbrock4.cpp + * + * Copyright 2010-2012 Mario Mulansky + * Copyright 2011-2012 Karsten Ahnert + * Copyright 2012 Andreas Angelopoulos + * + * 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 <fstream> +#include <utility> + +#include <boost/numeric/odeint.hpp> + +#include <boost/phoenix/core.hpp> + +#include <boost/phoenix/core.hpp> +#include <boost/phoenix/operator.hpp> + +using namespace std; +using namespace boost::numeric::odeint; +namespace phoenix = boost::phoenix; + + + +//[ stiff_system_definition +typedef boost::numeric::ublas::vector< double > vector_type; +typedef boost::numeric::ublas::matrix< double > matrix_type; + +struct stiff_system +{ + void operator()( const vector_type &x , vector_type &dxdt , double /* t */ ) + { + dxdt[ 0 ] = -101.0 * x[ 0 ] - 100.0 * x[ 1 ]; + dxdt[ 1 ] = x[ 0 ]; + } +}; + +struct stiff_system_jacobi +{ + void operator()( const vector_type & /* x */ , matrix_type &J , const double & /* t */ , vector_type &dfdt ) + { + J( 0 , 0 ) = -101.0; + J( 0 , 1 ) = -100.0; + J( 1 , 0 ) = 1.0; + J( 1 , 1 ) = 0.0; + dfdt[0] = 0.0; + dfdt[1] = 0.0; + } +}; +//] + + + +/* +//[ stiff_system_alternative_definition +typedef boost::numeric::ublas::vector< double > vector_type; +typedef boost::numeric::ublas::matrix< double > matrix_type; + +struct stiff_system +{ + template< class State > + void operator()( const State &x , State &dxdt , double t ) + { + ... + } +}; + +struct stiff_system_jacobi +{ + template< class State , class Matrix > + void operator()( const State &x , Matrix &J , const double &t , State &dfdt ) + { + ... + } +}; +//] + */ + + + +int main( int argc , char **argv ) +{ +// typedef rosenbrock4< double > stepper_type; +// typedef rosenbrock4_controller< stepper_type > controlled_stepper_type; +// typedef rosenbrock4_dense_output< controlled_stepper_type > dense_output_type; + //[ integrate_stiff_system + vector_type x( 2 , 1.0 ); + + size_t num_of_steps = integrate_const( make_dense_output< rosenbrock4< double > >( 1.0e-6 , 1.0e-6 ) , + make_pair( stiff_system() , stiff_system_jacobi() ) , + x , 0.0 , 50.0 , 0.01 , + cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << "\n" ); + //] + clog << num_of_steps << endl; + + + +// typedef runge_kutta_dopri5< vector_type > dopri5_type; +// typedef controlled_runge_kutta< dopri5_type > controlled_dopri5_type; +// typedef dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type; + //[ integrate_stiff_system_alternative + + vector_type x2( 2 , 1.0 ); + + size_t num_of_steps2 = integrate_const( make_dense_output< runge_kutta_dopri5< vector_type > >( 1.0e-6 , 1.0e-6 ) , + stiff_system() , x2 , 0.0 , 50.0 , 0.01 , + cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << "\n" ); + //] + clog << num_of_steps2 << endl; + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/stochastic_euler.cpp b/src/boost/libs/numeric/odeint/examples/stochastic_euler.cpp new file mode 100644 index 000000000..c98d27b09 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/stochastic_euler.cpp @@ -0,0 +1,147 @@ +/* + libs/numeric/odeint/examples/stochastic_euler.hpp + + Copyright 2012 Karsten Ahnert + Copyright 2012 Mario Mulansky + + Stochastic euler stepper example and Ornstein-Uhlenbeck process + + 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 <vector> +#include <iostream> +#include <boost/random.hpp> +#include <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + + +/* +//[ stochastic_euler_class_definition +template< size_t N > class stochastic_euler +{ +public: + + typedef boost::array< double , N > state_type; + typedef boost::array< double , N > deriv_type; + typedef double value_type; + typedef double time_type; + typedef unsigned short order_type; + typedef boost::numeric::odeint::stepper_tag stepper_category; + + static order_type order( void ) { return 1; } + + // ... +}; +//] +*/ + + +/* +//[ stochastic_euler_do_step +template< size_t N > class stochastic_euler +{ +public: + + // ... + + template< class System > + void do_step( System system , state_type &x , time_type t , time_type dt ) const + { + deriv_type det , stoch ; + system.first( x , det ); + system.second( x , stoch ); + for( size_t i=0 ; i<x.size() ; ++i ) + x[i] += dt * det[i] + sqrt( dt ) * stoch[i]; + } +}; +//] +*/ + + + + +//[ stochastic_euler_class +template< size_t N > +class stochastic_euler +{ +public: + + typedef boost::array< double , N > state_type; + typedef boost::array< double , N > deriv_type; + typedef double value_type; + typedef double time_type; + typedef unsigned short order_type; + + typedef boost::numeric::odeint::stepper_tag stepper_category; + + static order_type order( void ) { return 1; } + + template< class System > + void do_step( System system , state_type &x , time_type t , time_type dt ) const + { + deriv_type det , stoch ; + system.first( x , det ); + system.second( x , stoch ); + for( size_t i=0 ; i<x.size() ; ++i ) + x[i] += dt * det[i] + sqrt( dt ) * stoch[i]; + } +}; +//] + + + +//[ stochastic_euler_ornstein_uhlenbeck_def +const static size_t N = 1; +typedef boost::array< double , N > state_type; + +struct ornstein_det +{ + void operator()( const state_type &x , state_type &dxdt ) const + { + dxdt[0] = -x[0]; + } +}; + +struct ornstein_stoch +{ + boost::mt19937 &m_rng; + boost::normal_distribution<> m_dist; + + ornstein_stoch( boost::mt19937 &rng , double sigma ) : m_rng( rng ) , m_dist( 0.0 , sigma ) { } + + void operator()( const state_type &x , state_type &dxdt ) + { + dxdt[0] = m_dist( m_rng ); + } +}; +//] + +struct streaming_observer +{ + template< class State > + void operator()( const State &x , double t ) const + { + std::cout << t << "\t" << x[0] << "\n"; + } +}; + + +int main( int argc , char **argv ) +{ + using namespace std; + using namespace boost::numeric::odeint; + + //[ ornstein_uhlenbeck_main + boost::mt19937 rng; + double dt = 0.1; + state_type x = {{ 1.0 }}; + integrate_const( stochastic_euler< N >() , make_pair( ornstein_det() , ornstein_stoch( rng , 1.0 ) ), + x , 0.0 , 10.0 , dt , streaming_observer() ); + //] + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/stuart_landau.cpp b/src/boost/libs/numeric/odeint/examples/stuart_landau.cpp new file mode 100644 index 000000000..84f9b04d8 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/stuart_landau.cpp @@ -0,0 +1,87 @@ +/* + * stuart_landau.cpp + * + * This example demonstrates how one can use odeint can be used with state types consisting of complex variables. + * + * 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 <complex> +#include <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +//[ stuart_landau_system_function +typedef complex< double > state_type; + +struct stuart_landau +{ + double m_eta; + double m_alpha; + + stuart_landau( double eta = 1.0 , double alpha = 1.0 ) + : m_eta( eta ) , m_alpha( alpha ) { } + + void operator()( const state_type &x , state_type &dxdt , double t ) const + { + const complex< double > I( 0.0 , 1.0 ); + dxdt = ( 1.0 + m_eta * I ) * x - ( 1.0 + m_alpha * I ) * norm( x ) * x; + } +}; +//] + + +/* +//[ stuart_landau_system_function_alternative +double eta = 1.0; +double alpha = 1.0; + +void stuart_landau( const state_type &x , state_type &dxdt , double t ) +{ + const complex< double > I( 0.0 , 1.0 ); + dxdt = ( 1.0 + m_eta * I ) * x - ( 1.0 + m_alpha * I ) * norm( x ) * x; +} +//] +*/ + + +struct streaming_observer +{ + std::ostream& m_out; + + streaming_observer( std::ostream &out ) : m_out( out ) { } + + template< class State > + void operator()( const State &x , double t ) const + { + m_out << t; + m_out << "\t" << x.real() << "\t" << x.imag() ; + m_out << "\n"; + } +}; + + + + +int main( int argc , char **argv ) +{ + //[ stuart_landau_integration + state_type x = complex< double >( 1.0 , 0.0 ); + + const double dt = 0.1; + + typedef runge_kutta4< state_type > stepper_type; + + integrate_const( stepper_type() , stuart_landau( 2.0 , 1.0 ) , x , 0.0 , 10.0 , dt , streaming_observer( cout ) ); + //] + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/thrust/Makefile b/src/boost/libs/numeric/odeint/examples/thrust/Makefile new file mode 100644 index 000000000..5a33bdb32 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/thrust/Makefile @@ -0,0 +1,34 @@ +# Copyright 2011-2014 Mario Mulansky +# Copyright 2011-2012 Karsten Ahnert +# +# 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) + +# make sure BOOST_ROOT is pointing to your boost directory +# otherwise, set it here: +# BOOST_ROOT = /path/to/boost + +# path to the cuda installation +CUDA_ROOT = /usr/local/cuda +# target architecture +ARCH = sm_13 + +NVCC = $(CUDA_ROOT)/bin/nvcc + +INCLUDES += -I../../include/ -I$(BOOST_ROOT) + +NVCCFLAGS = -O3 $(INCLUDES) -arch $(ARCH) + +%.o : %.cu + $(NVCC) $(NVCCFLAGS) -c $< -o $@ + +% : %.o + $(NVCC) $(NVCCFLAGS) -o $@ $< + + +all : phase_oscillator_chain phase_oscillator_ensemble lorenz_parameters relaxation + + +clean : + -rm *~ *.o phase_oscillator_chain phase_oscillator_ensemble lorenz_parameters relaxation diff --git a/src/boost/libs/numeric/odeint/examples/thrust/lorenz_parameters.cu b/src/boost/libs/numeric/odeint/examples/thrust/lorenz_parameters.cu new file mode 100644 index 000000000..b3323756d --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/thrust/lorenz_parameters.cu @@ -0,0 +1,296 @@ +/* + 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; +} diff --git a/src/boost/libs/numeric/odeint/examples/thrust/phase_oscillator_chain.cu b/src/boost/libs/numeric/odeint/examples/thrust/phase_oscillator_chain.cu new file mode 100644 index 000000000..040969726 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/thrust/phase_oscillator_chain.cu @@ -0,0 +1,156 @@ +/* + Copyright 2011-2013 Mario Mulansky + Copyright 2011 Karsten Ahnert + + 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) + */ + +/* + * This example shows how to use odeint on CUDA devices with thrust. + * Note that we require at least Version 3.2 of the nVidia CUDA SDK + * and the thrust library should be installed in the CUDA include + * folder. + * + * As example we use a chain of phase oscillators with nearest neighbour + * coupling, as described in: + * + * Avis H. Cohen, Philip J. Holmes and Richard H. Rand: + * JOURNAL OF MATHEMATICAL BIOLOGY Volume 13, Number 3, 345-369, + * + */ + +#include <iostream> +#include <cmath> + +#include <thrust/device_vector.h> +#include <thrust/iterator/permutation_iterator.h> +#include <thrust/iterator/counting_iterator.h> + +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/integrate/integrate_const.hpp> +#include <boost/numeric/odeint/external/thrust/thrust.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; + + +//[ thrust_phase_chain_system +//change this to host_vector< ... > if 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; + +//<- +/* + * This implements the rhs of the dynamical equation: + * \phi'_0 = \omega_0 + sin( \phi_1 - \phi_0 ) + * \phi'_i = \omega_i + sin( \phi_i+1 - \phi_i ) + sin( \phi_i - \phi_i-1 ) + * \phi'_N-1 = \omega_N-1 + sin( \phi_N-1 - \phi_N-2 ) + */ +//-> +class phase_oscillators +{ + +public: + + struct sys_functor + { + template< class Tuple > + __host__ __device__ + void operator()( Tuple t ) // this functor works on tuples of values + { + // first, unpack the tuple into value, neighbors and omega + const value_type phi = thrust::get<0>(t); + const value_type phi_left = thrust::get<1>(t); // left neighbor + const value_type phi_right = thrust::get<2>(t); // right neighbor + const value_type omega = thrust::get<3>(t); + // the dynamical equation + thrust::get<4>(t) = omega + sin( phi_right - phi ) + sin( phi - phi_left ); + } + }; + + phase_oscillators( const state_type &omega ) + : m_omega( omega ) , m_N( omega.size() ) , m_prev( omega.size() ) , m_next( omega.size() ) + { + // build indices pointing to left and right neighbours + thrust::counting_iterator<size_t> c( 0 ); + thrust::copy( c , c+m_N-1 , m_prev.begin()+1 ); + m_prev[0] = 0; // m_prev = { 0 , 0 , 1 , 2 , 3 , ... , N-1 } + + thrust::copy( c+1 , c+m_N , m_next.begin() ); + m_next[m_N-1] = m_N-1; // m_next = { 1 , 2 , 3 , ... , N-1 , N-1 } + } + + void operator() ( const state_type &x , state_type &dxdt , const value_type dt ) + { + thrust::for_each( + thrust::make_zip_iterator( + thrust::make_tuple( + x.begin() , + thrust::make_permutation_iterator( x.begin() , m_prev.begin() ) , + thrust::make_permutation_iterator( x.begin() , m_next.begin() ) , + m_omega.begin() , + dxdt.begin() + ) ), + thrust::make_zip_iterator( + thrust::make_tuple( + x.end() , + thrust::make_permutation_iterator( x.begin() , m_prev.end() ) , + thrust::make_permutation_iterator( x.begin() , m_next.end() ) , + m_omega.end() , + dxdt.end()) ) , + sys_functor() + ); + } + +private: + + const state_type &m_omega; + const size_t m_N; + index_vector_type m_prev; + index_vector_type m_next; +}; +//] + +const size_t N = 32768; +const value_type pi = 3.1415926535897932384626433832795029; +const value_type epsilon = 6.0 / ( N * N ); // should be < 8/N^2 to see phase locking +const value_type dt = 0.1; + +int main( int arc , char* argv[] ) +{ + //[ thrust_phase_chain_integration + // create initial conditions and omegas on host: + vector< value_type > x_host( N ); + vector< value_type > omega_host( N ); + for( size_t i=0 ; i<N ; ++i ) + { + x_host[i] = 2.0 * pi * drand48(); + omega_host[i] = ( N - i ) * epsilon; // decreasing frequencies + } + + // copy to device + state_type x = x_host; + state_type omega = omega_host; + + // create stepper + runge_kutta4< state_type , value_type , state_type , value_type > stepper; + + // create phase oscillator system function + phase_oscillators sys( omega ); + + // integrate + integrate_const( stepper , sys , x , 0.0 , 10.0 , dt ); + + thrust::copy( x.begin() , x.end() , std::ostream_iterator< value_type >( std::cout , "\n" ) ); + std::cout << std::endl; + //] +} diff --git a/src/boost/libs/numeric/odeint/examples/thrust/phase_oscillator_ensemble.cu b/src/boost/libs/numeric/odeint/examples/thrust/phase_oscillator_ensemble.cu new file mode 100644 index 000000000..d678b8f01 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/thrust/phase_oscillator_ensemble.cu @@ -0,0 +1,280 @@ +/* + The example how the phase_oscillator ensemble can be implemented using CUDA and thrust + + Copyright 2011-2013 Mario Mulansky + Copyright 2011 Karsten Ahnert + + 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 <fstream> +#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/timer.hpp> +#include <boost/random/cauchy_distribution.hpp> + +using namespace std; + +using namespace boost::numeric::odeint; + +/* + * Sorry for that dirty hack, but nvcc has large problems with boost::random. + * + * Nevertheless we need the cauchy distribution from boost::random, and therefore + * we need a generator. Here it is: + */ +struct drand48_generator +{ + typedef double result_type; + result_type operator()( void ) const { return drand48(); } + result_type min( void ) const { return 0.0; } + result_type max( void ) const { return 1.0; } +}; + +//[ thrust_phase_ensemble_state_type +//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::host_vector< value_type > state_type; +//] + + +//[ thrust_phase_ensemble_mean_field_calculator +struct mean_field_calculator +{ + struct sin_functor : public thrust::unary_function< value_type , value_type > + { + __host__ __device__ + value_type operator()( value_type x) const + { + return sin( x ); + } + }; + + struct cos_functor : public thrust::unary_function< value_type , value_type > + { + __host__ __device__ + value_type operator()( value_type x) const + { + return cos( x ); + } + }; + + static std::pair< value_type , value_type > get_mean( const state_type &x ) + { + //[ thrust_phase_ensemble_sin_sum + value_type sin_sum = thrust::reduce( + thrust::make_transform_iterator( x.begin() , sin_functor() ) , + thrust::make_transform_iterator( x.end() , sin_functor() ) ); + //] + value_type cos_sum = thrust::reduce( + thrust::make_transform_iterator( x.begin() , cos_functor() ) , + thrust::make_transform_iterator( x.end() , cos_functor() ) ); + + cos_sum /= value_type( x.size() ); + sin_sum /= value_type( x.size() ); + + value_type K = sqrt( cos_sum * cos_sum + sin_sum * sin_sum ); + value_type Theta = atan2( sin_sum , cos_sum ); + + return std::make_pair( K , Theta ); + } +}; +//] + + + +//[ thrust_phase_ensemble_sys_function +class phase_oscillator_ensemble +{ + +public: + + struct sys_functor + { + value_type m_K , m_Theta , m_epsilon; + + sys_functor( value_type K , value_type Theta , value_type epsilon ) + : m_K( K ) , m_Theta( Theta ) , m_epsilon( epsilon ) { } + + template< class Tuple > + __host__ __device__ + void operator()( Tuple t ) + { + thrust::get<2>(t) = thrust::get<1>(t) + m_epsilon * m_K * sin( m_Theta - thrust::get<0>(t) ); + } + }; + + // ... + //<- + phase_oscillator_ensemble( size_t N , value_type g = 1.0 , value_type epsilon = 1.0 ) + : m_omega() , m_N( N ) , m_epsilon( epsilon ) + { + create_frequencies( g ); + } + + void create_frequencies( value_type g ) + { + boost::cauchy_distribution< value_type > cauchy( 0.0 , g ); +// boost::variate_generator< boost::mt19937&, boost::cauchy_distribution< value_type > > gen( rng , cauchy ); + drand48_generator d48; + vector< value_type > omega( m_N ); + for( size_t i=0 ; i<m_N ; ++i ) + omega[i] = cauchy( d48 ); +// generate( omega.begin() , omega.end() , gen ); + m_omega = omega; + } + + void set_epsilon( value_type epsilon ) { m_epsilon = epsilon; } + + value_type get_epsilon( void ) const { return m_epsilon; } + //-> + + void operator() ( const state_type &x , state_type &dxdt , const value_type dt ) const + { + std::pair< value_type , value_type > mean_field = mean_field_calculator::get_mean( x ); + + thrust::for_each( + thrust::make_zip_iterator( thrust::make_tuple( x.begin() , m_omega.begin() , dxdt.begin() ) ), + thrust::make_zip_iterator( thrust::make_tuple( x.end() , m_omega.end() , dxdt.end()) ) , + sys_functor( mean_field.first , mean_field.second , m_epsilon ) + ); + } + + // ... + //<- +private: + + state_type m_omega; + const size_t m_N; + value_type m_epsilon; + //-> +}; +//] + + +//[ thrust_phase_ensemble_observer +struct statistics_observer +{ + value_type m_K_mean; + size_t m_count; + + statistics_observer( void ) + : m_K_mean( 0.0 ) , m_count( 0 ) { } + + template< class State > + void operator()( const State &x , value_type t ) + { + std::pair< value_type , value_type > mean = mean_field_calculator::get_mean( x ); + m_K_mean += mean.first; + ++m_count; + } + + value_type get_K_mean( void ) const { return ( m_count != 0 ) ? m_K_mean / value_type( m_count ) : 0.0 ; } + + void reset( void ) { m_K_mean = 0.0; m_count = 0; } +}; +//] + + + +// const size_t N = 16384 * 128; +const size_t N = 16384; +const value_type pi = 3.1415926535897932384626433832795029; +const value_type dt = 0.1; +const value_type d_epsilon = 0.1; +const value_type epsilon_min = 0.0; +const value_type epsilon_max = 5.0; +const value_type t_transients = 10.0; +const value_type t_max = 100.0; + +int main( int arc , char* argv[] ) +{ + // initial conditions on host + vector< value_type > x_host( N ); + for( size_t i=0 ; i<N ; ++i ) x_host[i] = 2.0 * pi * drand48(); + + //[ thrust_phase_ensemble_system_instance + phase_oscillator_ensemble ensemble( N , 1.0 ); + //] + + + + boost::timer timer; + boost::timer timer_local; + double dopri5_time = 0.0 , rk4_time = 0.0; + { + //[thrust_phase_ensemble_define_dopri5 + typedef runge_kutta_dopri5< state_type , value_type , state_type , value_type > stepper_type; + //] + + ofstream fout( "phase_ensemble_dopri5.dat" ); + timer.restart(); + for( value_type epsilon = epsilon_min ; epsilon < epsilon_max ; epsilon += d_epsilon ) + { + ensemble.set_epsilon( epsilon ); + statistics_observer obs; + state_type x = x_host; + + timer_local.restart(); + + // calculate some transients steps + //[ thrust_phase_ensemble_integration + size_t steps1 = integrate_const( make_controlled( 1.0e-6 , 1.0e-6 , stepper_type() ) , boost::ref( ensemble ) , x , 0.0 , t_transients , dt ); + //] + + // integrate and compute the statistics + size_t steps2 = integrate_const( make_dense_output( 1.0e-6 , 1.0e-6 , stepper_type() ) , boost::ref( ensemble ) , x , 0.0 , t_max , dt , boost::ref( obs ) ); + + fout << epsilon << "\t" << obs.get_K_mean() << endl; + cout << "Dopri5 : " << epsilon << "\t" << obs.get_K_mean() << "\t" << timer_local.elapsed() << "\t" << steps1 << "\t" << steps2 << endl; + } + dopri5_time = timer.elapsed(); + } + + + + { + //[ thrust_phase_ensemble_define_rk4 + typedef runge_kutta4< state_type , value_type , state_type , value_type > stepper_type; + //] + + ofstream fout( "phase_ensemble_rk4.dat" ); + timer.restart(); + for( value_type epsilon = epsilon_min ; epsilon < epsilon_max ; epsilon += d_epsilon ) + { + ensemble.set_epsilon( epsilon ); + statistics_observer obs; + state_type x = x_host; + + timer_local.restart(); + + // calculate some transients steps + size_t steps1 = integrate_const( stepper_type() , boost::ref( ensemble ) , x , 0.0 , t_transients , dt ); + + // integrate and compute the statistics + size_t steps2 = integrate_const( stepper_type() , boost::ref( ensemble ) , x , 0.0 , t_max , dt , boost::ref( obs ) ); + fout << epsilon << "\t" << obs.get_K_mean() << endl; + cout << "RK4 : " << epsilon << "\t" << obs.get_K_mean() << "\t" << timer_local.elapsed() << "\t" << steps1 << "\t" << steps2 << endl; + } + rk4_time = timer.elapsed(); + } + + cout << "Dopri 5 : " << dopri5_time << " s\n"; + cout << "RK4 : " << rk4_time << "\n"; + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/thrust/relaxation.cu b/src/boost/libs/numeric/odeint/examples/thrust/relaxation.cu new file mode 100644 index 000000000..f1d9f3a28 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/thrust/relaxation.cu @@ -0,0 +1,81 @@ +/* + Copyright 2011-2012 Karsten Ahnert + Copyright 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) + */ + + +/* + * Solves many relaxation equations dxdt = - a * x in parallel and for different values of a. + * The relaxation equations are completely uncoupled. + */ + +#include <thrust/device_vector.h> + +#include <boost/ref.hpp> + +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/external/thrust/thrust.hpp> + + +using namespace std; +using namespace boost::numeric::odeint; + +// change to float if your GPU does not support doubles +typedef double value_type; +typedef thrust::device_vector< value_type > state_type; +typedef runge_kutta4< state_type , value_type , state_type , value_type > stepper_type; + +struct relaxation +{ + struct relaxation_functor + { + template< class T > + __host__ __device__ + void operator()( T t ) const + { + // unpack the parameter we want to vary and the Lorenz variables + value_type a = thrust::get< 1 >( t ); + value_type x = thrust::get< 0 >( t ); + thrust::get< 2 >( t ) = -a * x; + } + }; + + relaxation( size_t N , const state_type &a ) + : m_N( N ) , m_a( a ) { } + + void operator()( const state_type &x , state_type &dxdt , value_type t ) const + { + thrust::for_each( + thrust::make_zip_iterator( thrust::make_tuple( x.begin() , m_a.begin() , dxdt.begin() ) ) , + thrust::make_zip_iterator( thrust::make_tuple( x.end() , m_a.end() , dxdt.end() ) ) , + relaxation_functor() ); + } + + size_t m_N; + const state_type &m_a; +}; + +const size_t N = 1024 * 1024; +const value_type dt = 0.01; + +int main( int arc , char* argv[] ) +{ + // initialize the relaxation constants a + vector< value_type > a_host( N ); + for( size_t i=0 ; i<N ; ++i ) a_host[i] = drand48(); + state_type a = a_host; + + // initialize the intial state x + state_type x( N ); + thrust::fill( x.begin() , x.end() , 1.0 ); + + // integrate + relaxation relax( N , a ); + integrate_const( stepper_type() , boost::ref( relax ) , x , 0.0 , 10.0 , dt ); + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/two_dimensional_phase_lattice.cpp b/src/boost/libs/numeric/odeint/examples/two_dimensional_phase_lattice.cpp new file mode 100644 index 000000000..1fe4b9554 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/two_dimensional_phase_lattice.cpp @@ -0,0 +1,158 @@ +/* + * two_dimensional_phase_lattice.cpp + * + * This example show how one can use matrices as state types in odeint. + * + * 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 <map> +#include <string> +#include <fstream> + +#ifndef M_PI //not there on windows +#define M_PI 3.1415927 //... +#endif + +#include <boost/numeric/odeint.hpp> + +using namespace std; +using namespace boost::numeric::odeint; + +//[ two_dimensional_phase_lattice_definition +typedef boost::numeric::ublas::matrix< double > state_type; + +struct two_dimensional_phase_lattice +{ + two_dimensional_phase_lattice( double gamma = 0.5 ) + : m_gamma( gamma ) { } + + void operator()( const state_type &x , state_type &dxdt , double /* t */ ) const + { + size_t size1 = x.size1() , size2 = x.size2(); + + for( size_t i=1 ; i<size1-1 ; ++i ) + { + for( size_t j=1 ; j<size2-1 ; ++j ) + { + dxdt( i , j ) = + coupling_func( x( i + 1 , j ) - x( i , j ) ) + + coupling_func( x( i - 1 , j ) - x( i , j ) ) + + coupling_func( x( i , j + 1 ) - x( i , j ) ) + + coupling_func( x( i , j - 1 ) - x( i , j ) ); + } + } + + for( size_t i=0 ; i<x.size1() ; ++i ) dxdt( i , 0 ) = dxdt( i , x.size2() -1 ) = 0.0; + for( size_t j=0 ; j<x.size2() ; ++j ) dxdt( 0 , j ) = dxdt( x.size1() -1 , j ) = 0.0; + } + + double coupling_func( double x ) const + { + return sin( x ) - m_gamma * ( 1.0 - cos( x ) ); + } + + double m_gamma; +}; +//] + + +struct write_for_gnuplot +{ + size_t m_every , m_count; + + write_for_gnuplot( size_t every = 10 ) + : m_every( every ) , m_count( 0 ) { } + + void operator()( const state_type &x , double t ) + { + if( ( m_count % m_every ) == 0 ) + { + clog << t << endl; + cout << "sp '-'" << endl; + for( size_t i=0 ; i<x.size1() ; ++i ) + { + for( size_t j=0 ; j<x.size2() ; ++j ) + { + cout << i << "\t" << j << "\t" << sin( x( i , j ) ) << "\n"; + } + cout << "\n"; + } + cout << "e" << endl; + } + + ++m_count; + } +}; + +class write_snapshots +{ +public: + + typedef std::map< size_t , std::string > map_type; + + write_snapshots( void ) : m_count( 0 ) { } + + void operator()( const state_type &x , double t ) + { + map< size_t , string >::const_iterator it = m_snapshots.find( m_count ); + if( it != m_snapshots.end() ) + { + ofstream fout( it->second.c_str() ); + for( size_t i=0 ; i<x.size1() ; ++i ) + { + for( size_t j=0 ; j<x.size2() ; ++j ) + { + fout << i << "\t" << j << "\t" << x( i , j ) << "\t" << sin( x( i , j ) ) << "\n"; + } + fout << "\n"; + } + } + ++m_count; + } + + map_type& snapshots( void ) { return m_snapshots; } + const map_type& snapshots( void ) const { return m_snapshots; } + +private: + + size_t m_count; + map_type m_snapshots; +}; + + +int main( int argc , char **argv ) +{ + size_t size1 = 128 , size2 = 128; + state_type x( size1 , size2 , 0.0 ); + + for( size_t i=(size1/2-10) ; i<(size1/2+10) ; ++i ) + for( size_t j=(size2/2-10) ; j<(size2/2+10) ; ++j ) + x( i , j ) = static_cast<double>( rand() ) / RAND_MAX * 2.0 * M_PI; + + write_snapshots snapshots; + snapshots.snapshots().insert( make_pair( size_t( 0 ) , string( "lat_0000.dat" ) ) ); + snapshots.snapshots().insert( make_pair( size_t( 100 ) , string( "lat_0100.dat" ) ) ); + snapshots.snapshots().insert( make_pair( size_t( 1000 ) , string( "lat_1000.dat" ) ) ); + observer_collection< state_type , double > obs; + obs.observers().push_back( write_for_gnuplot( 10 ) ); + obs.observers().push_back( snapshots ); + + cout << "set term x11" << endl; + cout << "set pm3d map" << endl; + + integrate_const( runge_kutta4<state_type>() , two_dimensional_phase_lattice( 1.2 ) , + x , 0.0 , 1001.0 , 0.1 , boost::ref( obs ) ); + + // controlled steppers work only after ublas bugfix + //integrate_const( make_dense_output< runge_kutta_dopri5< state_type > >( 1E-6 , 1E-6 ) , two_dimensional_phase_lattice( 1.2 ) , + // x , 0.0 , 1001.0 , 0.1 , boost::ref( obs ) ); + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/ublas/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/ublas/Jamfile.v2 new file mode 100644 index 000000000..7abff98ef --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/ublas/Jamfile.v2 @@ -0,0 +1,13 @@ +# Copyright 2011 Mario Mulansky +# Copyright 2012 Karsten Ahnert +# 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) + + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + ; + +exe lorenz_ublas : lorenz_ublas.cpp ; diff --git a/src/boost/libs/numeric/odeint/examples/ublas/lorenz_ublas.cpp b/src/boost/libs/numeric/odeint/examples/ublas/lorenz_ublas.cpp new file mode 100644 index 000000000..0e3958d07 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/ublas/lorenz_ublas.cpp @@ -0,0 +1,40 @@ +/* + * Copyright 2011-2013 Mario Mulansky + * Copyright 2012 Karsten Ahnert + * + * 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 <boost/numeric/odeint.hpp> +#include <boost/numeric/ublas/vector.hpp> + +typedef boost::numeric::ublas::vector< double > state_type; + +void lorenz( const state_type &x , state_type &dxdt , const double t ) +{ + const double sigma( 10.0 ); + const double R( 28.0 ); + const double b( 8.0 / 3.0 ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; +} + +using namespace boost::numeric::odeint; + +//[ublas_main +int main() +{ + state_type x(3); + x[0] = 10.0; x[1] = 5.0 ; x[2] = 0.0; + typedef runge_kutta_dopri5< state_type > stepper; + integrate_const( make_dense_output< stepper >( 1E-6 , 1E-6 ) , lorenz , x , + 0.0 , 10.0 , 0.1 ); +} +//] diff --git a/src/boost/libs/numeric/odeint/examples/van_der_pol_stiff.cpp b/src/boost/libs/numeric/odeint/examples/van_der_pol_stiff.cpp new file mode 100644 index 000000000..a53ae4dbe --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/van_der_pol_stiff.cpp @@ -0,0 +1,95 @@ +/* + * van_der_pol_stiff.cpp + * + * Created on: Dec 12, 2011 + * + * Copyright 2012 Karsten Ahnert + * Copyright 2012-2013 Rajeev Singh + * Copyright 2012-2013 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 <fstream> +#include <utility> + +#include <boost/numeric/odeint.hpp> + +#include <boost/phoenix/core.hpp> +#include <boost/phoenix/operator.hpp> + +using namespace std; +using namespace boost::numeric::odeint; +namespace phoenix = boost::phoenix; + +const double mu = 1000.0; + + +typedef boost::numeric::ublas::vector< double > vector_type; +typedef boost::numeric::ublas::matrix< double > matrix_type; + +struct vdp_stiff +{ + void operator()( const vector_type &x , vector_type &dxdt , double t ) + { + dxdt[0] = x[1]; + dxdt[1] = -x[0] - mu * x[1] * (x[0]*x[0]-1.0); + } +}; + +struct vdp_stiff_jacobi +{ + void operator()( const vector_type &x , matrix_type &J , const double &t , vector_type &dfdt ) + { + J(0, 0) = 0.0; + J(0, 1) = 1.0; + J(1, 0) = -1.0 - 2.0*mu * x[0] * x[1]; + J(1, 1) = -mu * ( x[0] * x[0] - 1.0); + + dfdt[0] = 0.0; + dfdt[1] = 0.0; + } +}; + + +int main( int argc , char **argv ) +{ + //[ integrate_stiff_system + vector_type x( 2 ); + /* initialize random seed: */ + srand ( time(NULL) ); + + // initial conditions + for (int i=0; i<2; i++) + x[i] = 1.0; //(1.0 * rand()) / RAND_MAX; + + size_t num_of_steps = integrate_const( make_dense_output< rosenbrock4< double > >( 1.0e-6 , 1.0e-6 ) , + make_pair( vdp_stiff() , vdp_stiff_jacobi() ) , + x , 0.0 , 1000.0 , 1.0 + , cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << " " << phoenix::arg_names::arg1[1] << "\n" + ); + //] + clog << num_of_steps << endl; + + + + //[ integrate_stiff_system_alternative + + vector_type x2( 2 ); + // initial conditions + for (int i=0; i<2; i++) + x2[i] = 1.0; //(1.0 * rand()) / RAND_MAX; + + //size_t num_of_steps2 = integrate_const( make_dense_output< runge_kutta_dopri5< vector_type > >( 1.0e-6 , 1.0e-6 ) , + // vdp_stiff() , x2 , 0.0 , 1000.0 , 1.0 + // , cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << " " << phoenix::arg_names::arg1[1] << "\n" + // ); + //] + //clog << num_of_steps2 << endl; + + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/examples/vexcl/Jamfile.v2 b/src/boost/libs/numeric/odeint/examples/vexcl/Jamfile.v2 new file mode 100644 index 000000000..73dc8dae0 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/vexcl/Jamfile.v2 @@ -0,0 +1,32 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 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) + + +import boost ; +import os ; + +boost.use-project ; + + +# change these lines to fit you configuration +local HOME = [ os.environ HOME ] ; +local VEXCL_INCLUDE = [ os.environ VEXCL_ROOT ] ; +OPENCL_INCLUDE = /usr/local/cuda/include ; + + + +lib opencl : : <name>OpenCL ; + +project : requirements + <implicit-dependency>/boost//headers + <include>$(VEXCL_INCLUDE) + <include>$(OPENCL_INCLUDE) + <toolset>gcc:<cxxflags>-std=c++0x + <library>/boost//system/ + ; + +exe lorenz_ensemble : lorenz_ensemble.cpp opencl ;
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/examples/vexcl/lorenz_ensemble.cpp b/src/boost/libs/numeric/odeint/examples/vexcl/lorenz_ensemble.cpp new file mode 100644 index 000000000..0e7594ca3 --- /dev/null +++ b/src/boost/libs/numeric/odeint/examples/vexcl/lorenz_ensemble.cpp @@ -0,0 +1,86 @@ +/* + * Copyright 2012 Karsten Ahnert + * Copyright 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 <vector> + +#include <vexcl/vexcl.hpp> + +#include <boost/numeric/odeint.hpp> +//[ vexcl_includes +#include <boost/numeric/odeint/external/vexcl/vexcl.hpp> +//] + +namespace odeint = boost::numeric::odeint; + +//[ vexcl_state_types +typedef vex::vector< double > vector_type; +typedef vex::multivector< double, 3 > state_type; +//] + + +//[ vexcl_system +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); + } +}; +//] + + +int main( int argc , char **argv ) +{ + using namespace std; + using namespace odeint; + + //[ vexcl_main + // setup the opencl context + vex::Context ctx( vex::Filter::Type(CL_DEVICE_TYPE_GPU) ); + std::cout << ctx << std::endl; + + // set up number of system, time step and integration time + const size_t n = 1024 * 1024; + const double dt = 0.01; + const double t_max = 1000.0; + + // initialize R + 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 ); + vector_type R( ctx.queue() , r ); + + // initialize the state of the lorenz ensemble + state_type X(ctx.queue(), n); + X(0) = 10.0; + X(1) = 10.0; + X(2) = 10.0; + + // create a stepper + runge_kutta4< state_type > stepper; + + // solve the system + integrate_const( stepper , sys_func( R ) , X , 0.0 , t_max , dt ); + //] + + std::vector< double > res( 3 * n ); + vex::copy( X(0) , res ); + for( size_t i=0 ; i<n ; ++i ) + cout << r[i] << "\t" << res[i] << "\t" << "\n"; +} diff --git a/src/boost/libs/numeric/odeint/fix-copyright.py b/src/boost/libs/numeric/odeint/fix-copyright.py new file mode 100755 index 000000000..f4848226a --- /dev/null +++ b/src/boost/libs/numeric/odeint/fix-copyright.py @@ -0,0 +1,71 @@ +#!/usr/bin/env python +from subprocess import check_output as run +from datetime import datetime +from itertools import groupby +from operator import itemgetter +import re +import magic + +def authors(filename): + log = run(['git', 'log', '--follow', + '--date=short','--format=%aN%x09%ad', filename], + universal_newlines=True) + for line in log.splitlines(): + author, date = line.split('\t') + if author != 'fix-copyright.py': + yield author, datetime.strptime(date, '%Y-%m-%d') + +def new_copyright(filename, previous): + def f(): + au = list(authors(filename)) + alldates = map(itemgetter(1), au) + aup = sorted(au + map(lambda a: (a, None), previous), key=itemgetter(0)) + for author, records in groupby(aup, itemgetter(0)): + dates = filter(None, map(itemgetter(1), records)) + if not dates: dates = alldates + start = min(dates) + end = max(dates) + fmt = '{0}' if start.year == end.year else '{0}-{1}' + line = 'Copyright ' + fmt.format(start.year, end.year) + ' ' + author + key = (start, author) + yield key, line + return map(itemgetter(1), sorted(f())) + +def fix_copyright(filename): + # Find copyright block in original file + prefix = set() + names = [] + lines = [] + with open(filename, 'r') as f: + content = list(f) + for i, line in enumerate(content[:15]): + m = re.match(r'^(?P<prefix>\W*)(\(c\))?\s*?copyright\s*(\(c\))?\s+\d{4}(\s*-\s*\d{4})?\s+(?P<name>.+?)\s*$', line, re.IGNORECASE) + if m: + d = m.groupdict() + prefix.add(d['prefix']) + lines.append(i) + names.append(d['name'].strip()) + if len(prefix) != 1: + print 'Not found:', filename + return + prefix = list(prefix)[0] + + print filename + new = iter(new_copyright(filename, names)) + with open(filename, 'w') as f: + for i, line in enumerate(content): + if i in lines: + for repl in new: + print >>f, prefix + repl + else: + print >>f, line, + pass + +def all_files(): + ls = run(['git', 'ls-files'], universal_newlines=True) + for filename in ls.splitlines(): + if magic.from_file(filename, mime=True).split('/')[0] == 'text': + yield filename + +for f in all_files(): + fix_copyright(f) diff --git a/src/boost/libs/numeric/odeint/index.html b/src/boost/libs/numeric/odeint/index.html new file mode 100644 index 000000000..20c131439 --- /dev/null +++ b/src/boost/libs/numeric/odeint/index.html @@ -0,0 +1,20 @@ +<!-- +Copyright 2012 Beman Daves +Copyright 2012 Karsten Ahnert +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) +--> +<html> +<head> +<meta http-equiv="refresh" content="0; URL=doc/html/index.html"> +</head> +<body> +Automatic redirection failed, please go to +<a href="doc/html/index.html">doc/html/index.html</a> +<hr> +<p>© Copyright Beman Dawes, 2001</p> +<p> Distributed under the Boost Software +License, Version 1.0. (See accompanying file <a href="../../../LICENSE_1_0.txt">LICENSE_1_0.txt</a> or copy at <a href="http://www.boost.org/LICENSE_1_0.txt"> +www.boost.org/LICENSE_1_0.txt</a>)</p> +</body> +</html> diff --git a/src/boost/libs/numeric/odeint/meta/libraries.json b/src/boost/libs/numeric/odeint/meta/libraries.json new file mode 100644 index 000000000..7825fec22 --- /dev/null +++ b/src/boost/libs/numeric/odeint/meta/libraries.json @@ -0,0 +1,16 @@ +{ + "key": "numeric/odeint", + "name": "Odeint", + "authors": [ + "Karsten Ahnert", + "Mario Mulansky" + ], + "description": "Solving ordinary differential equations.", + "category": [ + "Math" + ], + "maintainers": [ + "Karsten Ahnert <karsten.ahnert -at- gmx.de>", + "Mario Mulansky <mario.mulansky -at- gmx.net>" + ] +} diff --git a/src/boost/libs/numeric/odeint/performance/Jamfile.v2 b/src/boost/libs/numeric/odeint/performance/Jamfile.v2 new file mode 100644 index 000000000..e60e4ea12 --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/Jamfile.v2 @@ -0,0 +1,32 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 2012 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) + +import os ; +import modules ; +import path ; + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + <include>../../../.. + <cxxflags>-std=c++11 + <toolset>gcc:<cxxflags>-ffast-math + <toolset>intel:<cxxflags>"-fast -inline-forceinline" + : default-build release + ; + + +lib libgsl : : <name>gsl ; +lib libgslcblas : : <name>gslcblas ; + +lib libmkl : : <name>mkl_intel_lp64 <link>shared ; +lib libmkl_core : : <name>mkl_core <link>shared ; +lib libmkl_intel_thread : : <name>mkl_intel_thread ; +lib libiomp5 : : <name>iomp5 ; +lib libpthread : : <name>pthread ; + +exe odeint_rk4_array + : odeint_rk4_array.cpp + ; diff --git a/src/boost/libs/numeric/odeint/performance/Makefile b/src/boost/libs/numeric/odeint/performance/Makefile new file mode 100644 index 000000000..641cb0313 --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/Makefile @@ -0,0 +1,43 @@ +# Copyright 2011-2014 Mario Mulansky +# Copyright 2011-2014 Karsten Ahnert +# +# 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) + +# make sure BOOST_ROOT is pointing to your boost directory +# otherwise, set it here: +# BOOST_ROOT = /path/to/boost + +INCLUDES += -I../../include/ -I$(BOOST_ROOT) +GCCFLAGS = -O3 -ffast-math -DNDEBUG +# disabling -ffast-math might give slightly better performance +ICCFLAGS = -Ofast -xHost -ip -inline-forceinline -DNDEBUG +# Possible options: -fp-model source -no-fma +GFORTFLAGS = -Ofast + +bin/gcc: + mkdir -p bin/gcc + +bin/intel: + mkdir -p bin/intel + +bin/gfort: + mkdir -p bin/gfort + +bin/gcc/odeint_rk4_array: odeint_rk4_array.cpp bin/gcc + g++ ${GCCFLAGS} ${INCLUDES} -o bin/gcc/odeint_rk4_array odeint_rk4_array.cpp + +bin/gcc/c_lorenz: c_lorenz.c bin/gcc + gcc -std=c99 -Ofast -mtune=corei7-avx c_lorenz.c -o bin/gcc/c_lorenz + +bin/intel/odeint_rk4_array: odeint_rk4_array.cpp bin/intel + icpc ${ICCFLAGS} ${INCLUDES} -o bin/intel/odeint_rk4_array odeint_rk4_array.cpp + +bin/intel/c_lorenz: c_lorenz.c bin/intel + icc -std=c99 -Ofast -xHost -ansi-alias -o bin/intel/c_lorenz c_lorenz.c + +bin/gfort/fortran_lorenz: fortran_lorenz.f90 bin/gfort + gfortran ${GFORTFLAGS} fortran_lorenz.f90 -o bin/gfort/fortran_lorenz + +all: bin/gcc/odeint_rk4_array bin/intel/odeint_rk4_array bin/gcc/c_lorenz bin/intel/c_lorenz bin/gfort/fortran_lorenz diff --git a/src/boost/libs/numeric/odeint/performance/SIMD/Makefile b/src/boost/libs/numeric/odeint/performance/SIMD/Makefile new file mode 100644 index 000000000..811acd988 --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/SIMD/Makefile @@ -0,0 +1,33 @@ +# Copyright 2014 Mario Mulansky +# +# Distributed under the Boost Software License, Version 1.0. +# (See accompanying file LICENSE_1_0.txt or +# copy at http://www.boost.org/LICENSE_1_0.txt) + +# make sure BOOST_ROOT is pointing to your boost directory +# otherwise, set it here: +# BOOST_ROOT = /path/to/boost +# you also need NT2s SIMD libary available set the include path here: +# SIMD_INCLUDE = /path/to/simd/include + +INCLUDES = -I$(BOOST_ROOT) -I${SIMD_INCLUDE} + +# INTEL COMPILER +# change this if you want to cross-compile +ARCH = Host +# ARCH = AVX +# ARCH = SSE4.2 + +CXX = icpc +CC = icpc +CXXFLAGS = -O3 -x${ARCH} -std=c++0x -fno-alias -inline-forceinline -DNDEBUG ${INCLUDES} +# -ip + +# GCC COMPILER +# change this if you want to cross-compile +# ARCH = native +# # ARCH = core-avx-i + +# CXX = g++ +# CC = g++ +# CXXFLAGS = -O3 -ffast-math -mtune=${ARCH} -march=${ARCH} -std=c++0x -DNDEBUG ${INCLUDES} diff --git a/src/boost/libs/numeric/odeint/performance/SIMD/perf_roessler.sh b/src/boost/libs/numeric/odeint/performance/SIMD/perf_roessler.sh new file mode 100755 index 000000000..a1094f63a --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/SIMD/perf_roessler.sh @@ -0,0 +1,22 @@ +#!/bin/bash +echo "Running on ${HOSTNAME}" + +out_dir=perf_${HOSTNAME} +mkdir -p ${out_dir} + +for N in 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864 +do + steps=`expr 4 \* 67108864 / ${N}` + for exe in "roessler" "roessler_simd" + do + rm -f ${out_dir}/${exe}_N${N}.times + for i in {0..4} + do + likwid-pin -cS0:0 ./${exe} ${N} ${steps} >> ${out_dir}/${exe}_N${N}.times + done + for perf_ctr in "FLOPS_DP" "FLOPS_AVX" "L2" "L3" "MEM" + do + likwid-perfctr -CS0:0 -g ${perf_ctr} ./${exe} ${N} ${steps} > ${out_dir}/${exe}_N${N}_${perf_ctr}.perf + done + done +done diff --git a/src/boost/libs/numeric/odeint/performance/SIMD/roessler.cpp b/src/boost/libs/numeric/odeint/performance/SIMD/roessler.cpp new file mode 100644 index 000000000..4e6cc4229 --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/SIMD/roessler.cpp @@ -0,0 +1,125 @@ +/* + * Simulation of an ensemble of Roessler attractors + * + * Copyright 2014 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 <vector> +#include <random> + +#include <boost/timer.hpp> +#include <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> + +namespace odeint = boost::numeric::odeint; + +typedef boost::timer timer_type; + +typedef double fp_type; +//typedef float fp_type; + +typedef boost::array<fp_type, 3> state_type; +typedef std::vector<state_type> state_vec; + +//--------------------------------------------------------------------------- +struct roessler_system { + const fp_type m_a, m_b, m_c; + + roessler_system(const fp_type a, const fp_type b, const fp_type c) + : m_a(a), m_b(b), m_c(c) + {} + + void operator()(const state_type &x, state_type &dxdt, const fp_type t) const + { + dxdt[0] = -x[1] - x[2]; + dxdt[1] = x[0] + m_a * x[1]; + dxdt[2] = m_b + x[2] * (x[0] - m_c); + } +}; + +//--------------------------------------------------------------------------- +int main(int argc, char *argv[]) { +if(argc<3) +{ + std::cerr << "Expected size and steps as parameter" << std::endl; + exit(1); +} +const size_t n = atoi(argv[1]); +const size_t steps = atoi(argv[2]); +//const size_t steps = 50; + +const fp_type dt = 0.01; + +const fp_type a = 0.2; +const fp_type b = 1.0; +const fp_type c = 9.0; + +// random initial conditions on the device +std::vector<fp_type> x(n), y(n), z(n); +std::default_random_engine generator; +std::uniform_real_distribution<fp_type> distribution_xy(-8.0, 8.0); +std::uniform_real_distribution<fp_type> distribution_z(0.0, 20.0); +auto rand_xy = std::bind(distribution_xy, std::ref(generator)); +auto rand_z = std::bind(distribution_z, std::ref(generator)); +std::generate(x.begin(), x.end(), rand_xy); +std::generate(y.begin(), y.end(), rand_xy); +std::generate(z.begin(), z.end(), rand_z); + +state_vec state(n); +for(size_t i=0; i<n; ++i) +{ + state[i][0] = x[i]; + state[i][1] = y[i]; + state[i][2] = z[i]; +} + +std::cout.precision(16); + +std::cout << "# n: " << n << std::endl; + +std::cout << x[0] << std::endl; + + +// Stepper type - use never_resizer for slight performance improvement +odeint::runge_kutta4_classic<state_type, fp_type, state_type, fp_type, + odeint::array_algebra, + odeint::default_operations, + odeint::never_resizer> stepper; + +roessler_system sys(a, b, c); + +timer_type timer; + +fp_type t = 0.0; + +for (int step = 0; step < steps; step++) +{ + for(size_t i=0; i<n; ++i) + { + stepper.do_step(sys, state[i], t, dt); + } + t += dt; +} + +std::cout << "Integration finished, runtime for " << steps << " steps: "; +std::cout << timer.elapsed() << " s" << std::endl; + +// compute some accumulation to make sure all results have been computed +fp_type s = 0.0; +for(size_t i = 0; i < n; ++i) +{ + s += state[i][0]; +} + +std::cout << state[0][0] << std::endl; +std::cout << s/n << std::endl; + +} diff --git a/src/boost/libs/numeric/odeint/performance/SIMD/roessler_simd.cpp b/src/boost/libs/numeric/odeint/performance/SIMD/roessler_simd.cpp new file mode 100644 index 000000000..d79af4d8b --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/SIMD/roessler_simd.cpp @@ -0,0 +1,149 @@ +/* + * Simulation of an ensemble of Roessler attractors using NT2 SIMD library + * This requires the SIMD library headers. + * + * Copyright 2014 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 <vector> +#include <random> + +#include <boost/timer.hpp> +#include <boost/array.hpp> + +#include <boost/numeric/odeint.hpp> +#include <boost/simd/sdk/simd/pack.hpp> +#include <boost/simd/sdk/simd/io.hpp> +#include <boost/simd/memory/allocator.hpp> +#include <boost/simd/include/functions/splat.hpp> +#include <boost/simd/include/functions/plus.hpp> +#include <boost/simd/include/functions/multiplies.hpp> + + +namespace odeint = boost::numeric::odeint; +namespace simd = boost::simd; + +typedef boost::timer timer_type; + +static const size_t dim = 3; // roessler is 3D + +typedef double fp_type; +//typedef float fp_type; + +typedef simd::pack<fp_type> simd_pack; +typedef boost::array<simd_pack, dim> state_type; +// use the simd allocator to get properly aligned memory +typedef std::vector< state_type, simd::allocator< state_type > > state_vec; + +static const size_t pack_size = simd_pack::static_size; + +//--------------------------------------------------------------------------- +struct roessler_system { + const fp_type m_a, m_b, m_c; + + roessler_system(const fp_type a, const fp_type b, const fp_type c) + : m_a(a), m_b(b), m_c(c) + {} + + void operator()(const state_type &x, state_type &dxdt, const fp_type t) const + { + dxdt[0] = -1.0*x[1] - x[2]; + dxdt[1] = x[0] + m_a * x[1]; + dxdt[2] = m_b + x[2] * (x[0] - m_c); + } +}; + +//--------------------------------------------------------------------------- +int main(int argc, char *argv[]) { +if(argc<3) +{ + std::cerr << "Expected size and steps as parameter" << std::endl; + exit(1); +} +const size_t n = atoi(argv[1]); +const size_t steps = atoi(argv[2]); + +const fp_type dt = 0.01; + +const fp_type a = 0.2; +const fp_type b = 1.0; +const fp_type c = 9.0; + +// random initial conditions on the device +std::vector<fp_type> x(n), y(n), z(n); +std::default_random_engine generator; +std::uniform_real_distribution<fp_type> distribution_xy(-8.0, 8.0); +std::uniform_real_distribution<fp_type> distribution_z(0.0, 20.0); +auto rand_xy = std::bind(distribution_xy, std::ref(generator)); +auto rand_z = std::bind(distribution_z, std::ref(generator)); +std::generate(x.begin(), x.end(), rand_xy); +std::generate(y.begin(), y.end(), rand_xy); +std::generate(z.begin(), z.end(), rand_z); + +state_vec state(n/pack_size); +for(size_t i=0; i<n/pack_size; ++i) +{ + for(size_t p=0; p<pack_size; ++p) + { + state[i][0][p] = x[i*pack_size+p]; + state[i][1][p] = y[i*pack_size+p]; + state[i][2][p] = z[i*pack_size+p]; + } +} + +std::cout << "Systems: " << n << std::endl; +std::cout << "Steps: " << steps << std::endl; +std::cout << "SIMD pack size: " << pack_size << std::endl; + +std::cout << state[0][0] << std::endl; + +// Stepper type +odeint::runge_kutta4_classic<state_type, fp_type, state_type, fp_type, + odeint::array_algebra, odeint::default_operations, + odeint::never_resizer> stepper; + +roessler_system sys(a, b, c); + +timer_type timer; + +fp_type t = 0.0; + +for(int step = 0; step < steps; step++) +{ + for(size_t i = 0; i < n/pack_size; ++i) + { + stepper.do_step(sys, state[i], t, dt); + } + t += dt; +} + +std::cout.precision(16); + +std::cout << "Integration finished, runtime for " << steps << " steps: "; +std::cout << timer.elapsed() << " s" << std::endl; + +// compute some accumulation to make sure all results have been computed +simd_pack s_pack = 0.0; +for(size_t i = 0; i < n/pack_size; ++i) +{ + s_pack += state[i][0]; +} + +fp_type s = 0.0; +for(size_t p=0; p<pack_size; ++p) +{ + s += s_pack[p]; +} + + +std::cout << state[0][0] << std::endl; +std::cout << s/n << std::endl; + +} diff --git a/src/boost/libs/numeric/odeint/performance/c_lorenz.c b/src/boost/libs/numeric/odeint/performance/c_lorenz.c new file mode 100644 index 000000000..85aba7fde --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/c_lorenz.c @@ -0,0 +1,57 @@ +#include <stdio.h> +#include <time.h> +#include <math.h> + +void lorenz(const double *x, double *restrict y) { + y[0] = 10.0 * (x[1] - x[0]); + y[1] = 28.0 * x[0] - x[1] - x[0] * x[2]; + y[2] = x[0] * x[1] - (8.0 / 3.0) * x[2]; +} + +int main(int argc, const char *argv[]) +{ + const int nb_steps = 20000000; + const double h = 1.0e-10; + const double h2 = 0.5 * h; + const double nb_loops = 21; + double x[3]; + double y[3]; + double f1[3]; + double f2[3]; + double f3[3]; + double f4[3]; + double min_time = 1E6; + clock_t begin, end; + double time_spent; + + for (int j = 0; j < nb_loops; j++) { + x[0] = 8.5; + x[1] = 3.1; + x[2] = 1.2; + begin = clock(); + for (int k = 0; k < nb_steps; k++) { + lorenz(x, f1); + for (int i = 0; i < 3; i++) { + y[i] = x[i] + h2 * f1[i]; + } + lorenz(y, f2); + for (int i = 0; i < 3; i++) { + y[i] = x[i] + h2 * f2[i]; + } + lorenz(y, f3); + for (int i = 0; i < 3; i++) { + y[i] = x[i] + h * f3[i]; + } + lorenz(y, f4); + for (int i = 0; i < 3; i++) { + x[i] = x[i] + h * (f1[i] + 2 * (f2[i] + f3[i]) + f4[i]) / 6.0; + } + } + end = clock(); + min_time = fmin(min_time, (double)(end-begin)/CLOCKS_PER_SEC); + printf("Result: %f\t runtime: %f\n", x[0], (double)(end-begin)/CLOCKS_PER_SEC); + } + printf("Minimal Runtime: %f\n", min_time); + + return 0; +} diff --git a/src/boost/libs/numeric/odeint/performance/fortran_lorenz.f90 b/src/boost/libs/numeric/odeint/performance/fortran_lorenz.f90 new file mode 100644 index 000000000..26869973c --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/fortran_lorenz.f90 @@ -0,0 +1,60 @@ +program main + implicit none + + integer, parameter :: dp = 8 + real(dp), dimension(1:3) :: x + integer, parameter :: nstep = 20000000 + real(dp) :: t = 0.0_dp + real(dp) :: h = 1.0e-10_dp + integer, parameter :: nb_loops = 21 + integer, parameter :: n = 3 + integer :: k + integer :: time_begin + integer :: time_end + integer :: count_rate + real(dp) :: time + real(dp) :: min_time = 100.0 + + do k = 1, nb_loops + x = [ 8.5_dp, 3.1_dp, 1.2_dp ] + call system_clock(time_begin, count_rate) + call rk4sys(n, t, x, h, nstep) + call system_clock(time_end, count_rate) + time = real(time_end - time_begin, dp) / real(count_rate, dp) + min_time = min(time, min_time) + write (*,*) time, x(1) + end do + write (*,*) "Minimal Runtime:", min_time +contains + subroutine xpsys(x,f) + real(dp), dimension(1:3), intent(in) :: x + real(dp), dimension(1:3), intent(out) :: f + f(1) = 10.0_dp * ( x(2) - x(1) ) + f(2) = 28.0_dp * x(1) - x(2) - x(1) * x(3) + f(3) = x(1) * x(2) - (8.0_dp / 3.0_dp) * x(3) + end subroutine xpsys + + subroutine rk4sys(n, t, x, h, nstep) + integer, intent(in) :: n + real(dp), intent(in) :: t + real(dp), dimension(1:n), intent(inout) :: x + real(dp), intent(in) :: h + integer, intent(in) :: nstep + ! Local variables + real(dp) :: h2 + real(dp), dimension(1:n) :: y, f1, f2, f3, f4 + integer :: i, k + + h2 = 0.5_dp * h + do k = 1, nstep + call xpsys(x, f1) + y = x + h2 * f1 + call xpsys(y, f2) + y = x + h2 * f2 + call xpsys(y, f3) + y = x + h * f3 + call xpsys(y, f4) + x = x + h * (f1 + 2.0_dp * (f2 + f3) + f4) / 6.0_dp + end do + end subroutine rk4sys +end program main diff --git a/src/boost/libs/numeric/odeint/performance/lorenz.hpp b/src/boost/libs/numeric/odeint/performance/lorenz.hpp new file mode 100644 index 000000000..c1ea37c9e --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/lorenz.hpp @@ -0,0 +1,33 @@ +/* + * lorenz.hpp + * + * Copyright 2011 Mario Mulansky + * Copyright 2012 Karsten Ahnert + * + * 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 LORENZ_HPP_ +#define LORENZ_HPP_ + +#include <boost/array.hpp> + +struct lorenz +{ + template< class state_type > + void inline operator()( const state_type &x , state_type &dxdt , const double t ) const + { + const double sigma = 10.0; + const double R = 28.0; + const double b = 8.0 / 3.0; + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = x[0]*x[1] - b * x[2]; + } +}; + + +#endif /* LORENZ_HPP_ */ diff --git a/src/boost/libs/numeric/odeint/performance/odeint_rk4_array.cpp b/src/boost/libs/numeric/odeint/performance/odeint_rk4_array.cpp new file mode 100644 index 000000000..6d60296f2 --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/odeint_rk4_array.cpp @@ -0,0 +1,63 @@ +/* + * odeint_rk4_array + * + * Copyright 2011 Mario Mulansky + * Copyright 2012 Karsten Ahnert + * + * 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 <boost/timer.hpp> +#include <boost/array.hpp> + +#include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/algebra/array_algebra.hpp> + +#include "lorenz.hpp" + +typedef boost::timer timer_type; + +typedef boost::array< double , 3 > state_type; + +using namespace boost::numeric::odeint; + +//typedef boost::numeric::odeint::runge_kutta4_classic< state_type > rk4_odeint_type; + +// use the never resizer explicitely for optimal performance with gcc, +// for the intel compiler this doesnt matter and the above definition +// gives the same performance +typedef runge_kutta4_classic< state_type , double , state_type , double , + array_algebra, default_operations, never_resizer > rk4_odeint_type; + + +const int loops = 21; +const int num_of_steps = 20000000; +const double dt = 1E-10; + + +int main() +{ + double min_time = 1E6; // something big + rk4_odeint_type stepper; + std::clog.precision(16); + std::cout.precision(16); + for( int n=0; n<loops; n++ ) + { + state_type x = {{ 8.5, 3.1, 1.2 }}; + double t = 0.0; + timer_type timer; + for( size_t i = 0 ; i < num_of_steps ; ++i ) + { + stepper.do_step( lorenz(), x, t, dt ); + t += dt; + } + min_time = std::min( timer.elapsed() , min_time ); + std::clog << timer.elapsed() << '\t' << x[0] << std::endl; + } + std::cout << "Minimal Runtime: " << min_time << std::endl; +} diff --git a/src/boost/libs/numeric/odeint/performance/plot_result.py b/src/boost/libs/numeric/odeint/performance/plot_result.py new file mode 100644 index 000000000..f39e49fce --- /dev/null +++ b/src/boost/libs/numeric/odeint/performance/plot_result.py @@ -0,0 +1,64 @@ +""" + Copyright 2011-2014 Mario Mulansky + Copyright 2011-2014 Karsten Ahnert + + 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) +""" + +import numpy as np +from matplotlib import pyplot as plt + +plt.rc("font", size=16) + + +def get_runtime_from_file(filename): + gcc_perf_file = open(filename, 'r') + for line in gcc_perf_file: + if "Minimal Runtime:" in line: + return float(line.split(":")[-1]) + + +t_gcc = [get_runtime_from_file("perf_workbook/odeint_rk4_array_gcc.perf"), + get_runtime_from_file("perf_ariel/odeint_rk4_array_gcc.perf"), + get_runtime_from_file("perf_lyra/odeint_rk4_array_gcc.perf")] + +t_intel = [get_runtime_from_file("perf_workbook/odeint_rk4_array_intel.perf"), + get_runtime_from_file("perf_ariel/odeint_rk4_array_intel.perf"), + get_runtime_from_file("perf_lyra/odeint_rk4_array_intel.perf")] + +t_gfort = [get_runtime_from_file("perf_workbook/rk4_gfort.perf"), + get_runtime_from_file("perf_ariel/rk4_gfort.perf"), + get_runtime_from_file("perf_lyra/rk4_gfort.perf")] + +t_c_intel = [get_runtime_from_file("perf_workbook/rk4_c_intel.perf"), + get_runtime_from_file("perf_ariel/rk4_c_intel.perf"), + get_runtime_from_file("perf_lyra/rk4_c_intel.perf")] + +print t_c_intel + + +ind = np.arange(3) # the x locations for the groups +width = 0.15 # the width of the bars + +fig = plt.figure() +ax = fig.add_subplot(111) +rects1 = ax.bar(ind, t_gcc, width, color='b', label="odeint gcc") +rects2 = ax.bar(ind+width, t_intel, width, color='g', label="odeint intel") +rects3 = ax.bar(ind+2*width, t_c_intel, width, color='y', label="C intel") +rects4 = ax.bar(ind+3*width, t_gfort, width, color='c', label="gfort") + +ax.axis([-width, 2.0+5*width, 0.0, 0.85]) +ax.set_ylabel('Runtime (s)') +ax.set_title('Performance for integrating the Lorenz system') +ax.set_xticks(ind + 1.5*width) +ax.set_xticklabels(('Core i5-3210M\n3.1 GHz', + 'Xeon E5-2690\n3.8 GHz', + 'Opteron 8431\n 2.4 GHz')) +ax.legend(loc='upper left', prop={'size': 16}) + +plt.savefig("perf.pdf") +plt.savefig("perf.png", dpi=50) + +plt.show() diff --git a/src/boost/libs/numeric/odeint/test/Jamfile.v2 b/src/boost/libs/numeric/odeint/test/Jamfile.v2 new file mode 100644 index 000000000..68725822c --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/Jamfile.v2 @@ -0,0 +1,103 @@ +# Copyright 2012-2013 Karsten Ahnert +# Copyright 2012-2013 Mario Mulansky +# Copyright 2013 Pascal Germroth +# 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) + +# bring in rules for testing + +import testing ; + +# make sure you are using a new version of boost.build, otherwise the local +# odeint will not be included properly +# you can fix older boost.build versions by applying the patch provided in +# odeint's root, e.g.: +# cd ~/odeint-v2 +# sudo patch /usr/share/boost-build/build/toolset.jam toolset.jam.patch + +use-project boost : $(BOOST_ROOT) ; + +project + : requirements + <define>BOOST_ALL_NO_LIB=1 + # use test library + <library>/boost//unit_test_framework + <link>static + <toolset>clang:<cxxflags>-Wno-unused-variable + # <cxxflags>-D_SCL_SECURE_NO_WARNINGS + ; + +test-suite "odeint" + : + [ run euler_stepper.cpp ] + [ run runge_kutta_concepts.cpp ] + [ run runge_kutta_error_concepts.cpp ] + [ run runge_kutta_controlled_concepts.cpp ] + [ run resizing.cpp ] + [ run default_operations.cpp ] + [ run range_algebra.cpp ] + [ run implicit_euler.cpp ] +# disable in clang + [ run fusion_algebra.cpp : : : <toolset>clang:<build>no ] + [ run stepper_with_units.cpp : : : <toolset>clang:<build>no ] + [ run stepper_copying.cpp ] + [ run stepper_with_ranges.cpp ] + [ run rosenbrock4.cpp ] + [ run rosenbrock4_mp.cpp ] + [ run is_pair.cpp ] + [ run adams_bashforth.cpp ] + [ run adams_moulton.cpp ] + [ run adams_bashforth_moulton.cpp ] + [ run controlled_adams_bashforth_moulton.cpp ] + [ run adaptive_adams_coefficients.cpp ] + [ run generic_stepper.cpp ] + [ run generic_error_stepper.cpp ] + [ run bulirsch_stoer.cpp ] + [ run integrate_times.cpp ] + [ run integrate_times.cpp : : : <define>ODEINT_INTEGRATE_ITERATOR : integrate_times_iterator ] + [ run integrate.cpp ] + [ run integrate.cpp : : : <define>ODEINT_INTEGRATE_ITERATOR : integrate_iterator ] + [ run integrate_implicit.cpp ] + [ run integrate_implicit.cpp : : : <define>ODEINT_INTEGRATE_ITERATOR : integrate_implicit_iterator ] + [ run generation.cpp ] + [ run trivial_state.cpp ] + [ run is_resizeable.cpp ] + [ run resize.cpp ] + [ run same_size.cpp ] + [ run split.cpp ] + [ run symplectic_steppers.cpp ] + [ run integrators_symplectic.cpp ] + [ run integrators_symplectic.cpp : : : <define>ODEINT_INTEGRATE_ITERATOR : integrators_symplectic_iterator ] + [ run velocity_verlet.cpp ] + [ run multi_array.cpp ] + [ compile algebra_dispatcher.cpp ] + [ run integrate_stepper_refs.cpp ] + [ run const_step_iterator.cpp ] + [ run const_step_time_iterator.cpp ] + [ run adaptive_iterator.cpp ] + [ run adaptive_time_iterator.cpp ] + [ run n_step_iterator.cpp ] + [ run n_step_time_iterator.cpp ] + [ run times_iterator.cpp ] + [ run times_time_iterator.cpp ] + [ run step_size_limitation.cpp ] + [ run integrate_overflow.cpp ] + [ compile unwrap_boost_reference.cpp ] + [ compile unwrap_reference.cpp : <cxxflags>-std=c++0x : unwrap_reference_C++11 ] + [ compile std_array.cpp : <cxxflags>-std=c++0x ] + : + <testing.launcher>valgrind + ; + +# also run numeric tests +build-project numeric ; + +build-project regression ; + +# test-suite "odeint-iterator_integrate" +# : +# [ run integrate.cpp : : : : integrate_iterator ] +# : <testing.launcher>valgrind +# <define>ODEINT_ITERATOR_INTEGRATE +# ; + diff --git a/src/boost/libs/numeric/odeint/test/adams_bashforth.cpp b/src/boost/libs/numeric/odeint/test/adams_bashforth.cpp new file mode 100644 index 000000000..7574346c2 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/adams_bashforth.cpp @@ -0,0 +1,237 @@ +/* + [auto_generated] + libs/numeric/odeint/test/adams_bashforth.cpp + + [begin_description] + This file tests the use of the adams bashforth stepper. + [end_description] + + Copyright 2011-2012 Karsten Ahnert + Copyright 2011-2012 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) + */ + + +// disable checked iterator warning for msvc + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_adams_bashforth + +#include <utility> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/list.hpp> +#include <boost/mpl/size_t.hpp> +#include <boost/mpl/range_c.hpp> + + +#include <boost/numeric/odeint/stepper/adams_bashforth.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; + +struct lorenz +{ + template< class State , class Deriv , class Value > + void operator()( const State &_x , Deriv &_dxdt , const Value &dt ) const + { + const value_type sigma = 10.0; + const value_type R = 28.0; + const value_type b = 8.0 / 3.0; + + typename boost::range_iterator< const State >::type x = boost::begin( _x ); + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( _dxdt ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = x[0]*x[1] - b * x[2]; + } +}; + +template< class State > +class rk4_decorator +{ +public: + + size_t do_count; + + template< class System , class StateIn , class DerivIn , class StateOut > + void do_step_dxdt_impl( System system , const StateIn &in , const DerivIn &dxdt , value_type t , StateOut &out , value_type dt ) + { + m_stepper.do_step( system , in , dxdt , t , out , dt ); + ++do_count; + } + + template< class System , class StateInOut , class DerivIn > + void do_step_dxdt_impl( System system , StateInOut &x , const DerivIn &dxdt , value_type t , value_type dt ) + { + m_stepper.do_step( system , x , dxdt , t , dt ); + ++do_count; + } + + + runge_kutta4< State > m_stepper; + +private: + + +}; + + +BOOST_AUTO_TEST_SUITE( adams_bashforth_test ) + +BOOST_AUTO_TEST_CASE( test_adams_bashforth_coefficients ) +{ + detail::adams_bashforth_coefficients< value_type , 1 > c1; + detail::adams_bashforth_coefficients< value_type , 2 > c2; + detail::adams_bashforth_coefficients< value_type , 3 > c3; + detail::adams_bashforth_coefficients< value_type , 4 > c4; + detail::adams_bashforth_coefficients< value_type , 5 > c5; + detail::adams_bashforth_coefficients< value_type , 6 > c6; + detail::adams_bashforth_coefficients< value_type , 7 > c7; + detail::adams_bashforth_coefficients< value_type , 8 > c8; +} + +BOOST_AUTO_TEST_CASE( test_rotating_buffer ) +{ + const size_t N = 5; + detail::rotating_buffer< size_t , N > buffer; + for( size_t i=0 ; i<N ; ++i ) buffer[i] = i; + + for( size_t i=0 ; i<N ; ++i ) + BOOST_CHECK_EQUAL( buffer[i] , i ); + + buffer.rotate(); + + for( size_t i=1 ; i<N ; ++i ) + BOOST_CHECK_EQUAL( buffer[i] , i - 1 ); + BOOST_CHECK_EQUAL( buffer[0] , size_t( N-1 ) ); +} + +BOOST_AUTO_TEST_CASE( test_copying ) +{ + typedef boost::array< double , 1 > state_type; + typedef adams_bashforth< 2 , state_type > stepper_type; + + stepper_type s1; + s1.step_storage()[0].m_v[0] = 1.5; + s1.step_storage()[1].m_v[0] = 2.25; + + stepper_type s2( s1 ); + BOOST_CHECK_CLOSE( s1.step_storage()[0].m_v[0] , s2.step_storage()[0].m_v[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( s1.step_storage()[1].m_v[0] , s2.step_storage()[1].m_v[0] , 1.0e-14 ); + BOOST_CHECK( ( &(s1.step_storage()[0]) ) != ( &(s2.step_storage()[0]) ) ); + + stepper_type s3; + state_type *p1 = &( s3.step_storage()[0].m_v ) , *p2 = &( s3.step_storage()[1].m_v ); + s3 = s1; + BOOST_CHECK( p1 == ( &( s3.step_storage()[0].m_v ) ) ); + BOOST_CHECK( p2 == ( &( s3.step_storage()[1].m_v ) ) ); + + BOOST_CHECK_CLOSE( s1.step_storage()[0].m_v[0] , s3.step_storage()[0].m_v[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( s1.step_storage()[1].m_v[0] , s3.step_storage()[1].m_v[0] , 1.0e-14 ); +} + +typedef boost::mpl::range_c< size_t , 1 , 6 > vector_of_steps; + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_init_and_steps , step_type , vector_of_steps ) +{ + const static size_t steps = step_type::value; + typedef boost::array< value_type , 3 > state_type; + + adams_bashforth< steps , state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + const value_type dt = 0.01; + value_type t = 0.0; + + stepper.initialize( lorenz() , x , t , dt ); + BOOST_CHECK_CLOSE( t , value_type( steps - 1 ) * dt , 1.0e-14 ); + + stepper.do_step( lorenz() , x , t , dt ); +} + +BOOST_AUTO_TEST_CASE( test_instantiation ) +{ + typedef boost::array< double , 3 > state_type; + adams_bashforth< 1 , state_type > s1; + adams_bashforth< 2 , state_type > s2; + adams_bashforth< 3 , state_type > s3; + adams_bashforth< 4 , state_type > s4; + adams_bashforth< 5 , state_type > s5; + adams_bashforth< 6 , state_type > s6; + adams_bashforth< 7 , state_type > s7; + adams_bashforth< 8 , state_type > s8; + + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + value_type t = 0.0 , dt = 0.01; + s1.do_step( lorenz() , x , t , dt ); + s2.do_step( lorenz() , x , t , dt ); + s3.do_step( lorenz() , x , t , dt ); + s4.do_step( lorenz() , x , t , dt ); + s5.do_step( lorenz() , x , t , dt ); + s6.do_step( lorenz() , x , t , dt ); +// s7.do_step( lorenz() , x , t , dt ); +// s8.do_step( lorenz() , x , t , dt ); +} + +BOOST_AUTO_TEST_CASE( test_auto_initialization ) +{ + typedef boost::array< double , 3 > state_type; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + + adams_bashforth< 3 , state_type , value_type , state_type , value_type , range_algebra , default_operations , + initially_resizer , rk4_decorator< state_type > > adams; + + adams.initializing_stepper().do_count = 0; + adams.do_step( lorenz() , x , 0.0 , x , 0.1 ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 1 ) ); + + adams.do_step( lorenz() , x , 0.0 , x , 0.1 ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) ); + + adams.do_step( lorenz() , x , 0.0 , x , 0.1 ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) ); + + adams.do_step( lorenz() , x , 0.0 , x , 0.1 ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) ); + + adams.reset(); + + adams.do_step( lorenz() , x , 0.0 , x , 0.1 ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 3 ) ); + + adams.do_step( lorenz() , x , 0.0 , x , 0.1 ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 4 ) ); +} + +BOOST_AUTO_TEST_CASE( test_manual_initialization ) +{ + typedef boost::array< double , 3 > state_type; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + + adams_bashforth< 3 , state_type , value_type , state_type , value_type , range_algebra , default_operations , + initially_resizer , rk4_decorator< state_type > > adams; + + adams.initializing_stepper().do_count = 0; + double t = 0.0 , dt = 0.1; + adams.initialize( lorenz() , x , t , dt ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) ); + + adams.do_step( lorenz() , x , 0.0 , x , 0.1 ); + BOOST_CHECK_EQUAL( adams.initializing_stepper().do_count , size_t( 2 ) ); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/adams_bashforth_moulton.cpp b/src/boost/libs/numeric/odeint/test/adams_bashforth_moulton.cpp new file mode 100644 index 000000000..8e7688bb4 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/adams_bashforth_moulton.cpp @@ -0,0 +1,112 @@ +/* + [auto_generated] + libs/numeric/odeint/test/adams_bashforth_moulton.cpp + + [begin_description] + This file tests the use of the Adams-Bashforth-Moulton. + [end_description] + + Copyright 2011-2012 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) + */ + +#define BOOST_TEST_MODULE odeint_adams_bashforth_moulton + +#include <utility> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/list.hpp> +#include <boost/mpl/size_t.hpp> +#include <boost/mpl/range_c.hpp> + +#include <boost/numeric/odeint/stepper/adams_bashforth_moulton.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; + +struct lorenz +{ + template< class State , class Deriv , class Value > + void operator()( const State &_x , Deriv &_dxdt , const Value &dt ) const + { + const value_type sigma = 10.0; + const value_type R = 28.0; + const value_type b = 8.0 / 3.0; + + typename boost::range_iterator< const State >::type x = boost::begin( _x ); + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( _dxdt ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = x[0]*x[1] - b * x[2]; + } +}; + +BOOST_AUTO_TEST_SUITE( adams_bashforth_moulton_test ) + +typedef boost::mpl::range_c< size_t , 1 , 6 > vector_of_steps; + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_init_and_steps , step_type , vector_of_steps ) +{ + const static size_t steps = step_type::value; + typedef boost::array< value_type , 3 > state_type; + + adams_bashforth_moulton< steps , state_type > stepper; + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + const value_type dt = 0.01; + value_type t = 0.0; + + stepper.initialize( lorenz() , x , t , dt ); + BOOST_CHECK_CLOSE( t , value_type( steps - 1 ) * dt , 1.0e-14 ); + + stepper.do_step( lorenz() , x , t , dt ); +} + + +BOOST_AUTO_TEST_CASE( test_copying ) +{ + typedef boost::array< double , 1 > state_type; + typedef adams_bashforth_moulton< 2 , state_type > stepper_type; + + stepper_type s1; + + stepper_type s2( s1 ); + + stepper_type s3; + s3 = s1; + } + + +BOOST_AUTO_TEST_CASE( test_instantiation ) +{ + typedef boost::array< double , 3 > state_type; + adams_bashforth_moulton< 1 , state_type > s1; + adams_bashforth_moulton< 2 , state_type > s2; + adams_bashforth_moulton< 3 , state_type > s3; + adams_bashforth_moulton< 4 , state_type > s4; + adams_bashforth_moulton< 5 , state_type > s5; + adams_bashforth_moulton< 6 , state_type > s6; + adams_bashforth_moulton< 7 , state_type > s7; + adams_bashforth_moulton< 8 , state_type > s8; + + state_type x = {{ 10.0 , 10.0 , 10.0 }}; + value_type t = 0.0 , dt = 0.01; + s1.do_step( lorenz() , x , t , dt ); + s2.do_step( lorenz() , x , t , dt ); + s3.do_step( lorenz() , x , t , dt ); + s4.do_step( lorenz() , x , t , dt ); + s5.do_step( lorenz() , x , t , dt ); + s6.do_step( lorenz() , x , t , dt ); +// s7.do_step( lorenz() , x , t , dt ); +// s8.do_step( lorenz() , x , t , dt ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/adams_moulton.cpp b/src/boost/libs/numeric/odeint/test/adams_moulton.cpp new file mode 100644 index 000000000..faccdda5b --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/adams_moulton.cpp @@ -0,0 +1,104 @@ +/* + [auto_generated] + libs/numeric/odeint/test/adams_moulton.cpp + + [begin_description] + This file tests the use of the Adams-Moulton stepper. + [end_description] + + Copyright 2011-2012 Karsten Ahnert + Copyright 2011-2012 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) + */ + + +#define BOOST_TEST_MODULE odeint_adams_moulton + +#include <utility> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/list.hpp> +#include <boost/mpl/size_t.hpp> +#include <boost/mpl/range_c.hpp> + + +#include <boost/numeric/odeint/stepper/detail/adams_moulton_coefficients.hpp> +#include <boost/numeric/odeint/stepper/detail/rotating_buffer.hpp> +#include <boost/numeric/odeint/stepper/adams_moulton.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; + +struct lorenz +{ + template< class State , class Deriv , class Value > + void operator()( const State &_x , Deriv &_dxdt , const Value &dt ) const + { + const value_type sigma = 10.0; + const value_type R = 28.0; + const value_type b = 8.0 / 3.0; + + typename boost::range_iterator< const State >::type x = boost::begin( _x ); + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( _dxdt ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = x[0]*x[1] - b * x[2]; + } +}; + +BOOST_AUTO_TEST_SUITE( adams_moulton_test ) + +BOOST_AUTO_TEST_CASE( test_adams_moulton_coefficients ) +{ + detail::adams_moulton_coefficients< value_type , 1 > c1; + detail::adams_moulton_coefficients< value_type , 2 > c2; + detail::adams_moulton_coefficients< value_type , 3 > c3; + detail::adams_moulton_coefficients< value_type , 4 > c4; + detail::adams_moulton_coefficients< value_type , 5 > c5; + detail::adams_moulton_coefficients< value_type , 6 > c6; + detail::adams_moulton_coefficients< value_type , 7 > c7; + detail::adams_moulton_coefficients< value_type , 8 > c8; +} + +typedef boost::mpl::range_c< size_t , 1 , 6 > vector_of_steps; + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_init_and_steps , step_type , vector_of_steps ) +{ + const static size_t steps = step_type::value; + typedef boost::array< value_type , 3 > state_type; + + adams_moulton< steps , state_type > stepper; +// state_type x = {{ 10.0 , 10.0 , 10.0 }}; +// const value_type dt = 0.01; +// value_type t = 0.0; + +// stepper.do_step( lorenz() , x , t , dt ); +} + +BOOST_AUTO_TEST_CASE( test_instantiation ) +{ + typedef boost::array< double , 3 > state_type; + adams_moulton< 1 , state_type > s1; + adams_moulton< 2 , state_type > s2; + adams_moulton< 3 , state_type > s3; + adams_moulton< 4 , state_type > s4; + adams_moulton< 5 , state_type > s5; + adams_moulton< 6 , state_type > s6; + adams_moulton< 7 , state_type > s7; + adams_moulton< 8 , state_type > s8; + +// state_type x = {{ 10.0 , 10.0 , 10.0 }}; +// value_type t = 0.0 , dt = 0.01; +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/adaptive_adams_coefficients.cpp b/src/boost/libs/numeric/odeint/test/adaptive_adams_coefficients.cpp new file mode 100644 index 000000000..362458f0b --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/adaptive_adams_coefficients.cpp @@ -0,0 +1,120 @@ +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_adaptive_adams_coefficients + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/detail/adaptive_adams_coefficients.hpp> + +#include <vector> + +#include <boost/mpl/list.hpp> +#include <boost/mpl/size_t.hpp> +#include <boost/mpl/range_c.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; + +BOOST_AUTO_TEST_SUITE( adaptive_adams_coefficients_test ) + +typedef boost::mpl::range_c< size_t , 2 , 10 > vector_of_steps; +BOOST_AUTO_TEST_CASE_TEMPLATE( test_step, step_type, vector_of_steps ) +{ + const static size_t steps = step_type::value; + + typedef std::vector<double> deriv_type; + typedef double time_type; + + typedef detail::adaptive_adams_coefficients<steps, deriv_type, time_type> aac_type; + + std::vector<double> deriv; + deriv.push_back(-1); + + time_type t = 0.0; + time_type dt = 0.1; + + aac_type coeff; + for(size_t i=0; i<steps; ++i) + { + coeff.predict(t, dt); + coeff.do_step(deriv); + coeff.confirm(); + + t+= dt; + + if(coeff.m_eo < steps) + coeff.m_eo ++; + } + + std::vector<value_type> v(10); + v[0] = 1.0/1.0; + v[1] = 1.0/2.0; + v[2] = 5.0/12.0; + v[3] = 9.0/24.0; + v[4] = 251.0/720.0; + v[5] = 95.0/288.0; + v[6] = 19087.0/60480.0; + v[7] = 5257.0/17280.0; + v[8] = 5311869667636789.0/18014398509481984.0; + + for(size_t i=0; i<steps; ++i) + { + BOOST_CHECK_SMALL(coeff.beta[1][i] - 1.0, 1e-15); + + if(i == 0) + BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0] + 1, 1e-15); + else if (i == steps-1 && steps%2 == 1) + BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0] - 1, 1e-14); + else if (i == steps-1 && steps%2 == 0) + BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0] + 1, 1e-14); + else + BOOST_CHECK_SMALL(coeff.phi[2][i].m_v[0], 1e-15); + + BOOST_CHECK_SMALL(coeff.g[i] - v[i], 1e-15); + } +} + +BOOST_AUTO_TEST_CASE( test_copy ) +{ + typedef std::vector<double> deriv_type; + typedef double time_type; + + typedef detail::adaptive_adams_coefficients<3, deriv_type, time_type> aac_type; + aac_type c1; + + deriv_type deriv(1); + deriv[0] = 1.0; + + time_type t = 0.0; + time_type dt = 0.01; + + for(size_t i=0; i<3; ++i) + { + c1.predict(t, dt); + c1.do_step(deriv); + c1.confirm(); + + t+= dt; + + if(c1.m_eo < 3) + c1.m_eo ++; + } + + aac_type c2(c1); + BOOST_CHECK_EQUAL(c1.phi[0][0].m_v[0], c2.phi[0][0].m_v[0]); + BOOST_CHECK(&(c1.phi[0][0].m_v) != &(c2.phi[0][0].m_v)); + + aac_type c3; + deriv_type *p1 = &(c3.phi[0][0].m_v); + + c3 = c1; + BOOST_CHECK(p1 == (&(c3.phi[0][0].m_v))); + BOOST_CHECK_EQUAL(c1.phi[0][0].m_v[0], c3.phi[0][0].m_v[0]); +} + +BOOST_AUTO_TEST_SUITE_END()
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/test/adaptive_iterator.cpp b/src/boost/libs/numeric/odeint/test/adaptive_iterator.cpp new file mode 100644 index 000000000..8f3cfa74a --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/adaptive_iterator.cpp @@ -0,0 +1,346 @@ +/* + [auto_generated] + libs/numeric/odeint/test/adaptive_iterator.cpp + + [begin_description] + This file tests the adaptive iterators. + [end_description] + + Copyright 2012-2013 Karsten Ahnert + Copyright 2012-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_adaptive_iterator + +#include <iterator> +#include <algorithm> +#include <vector> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/adaptive_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; + +BOOST_AUTO_TEST_SUITE( adaptive_iterator_test ) + +typedef mpl::vector< + dummy_controlled_stepper + , dummy_dense_output_stepper + > dummy_steppers; + + +BOOST_AUTO_TEST_CASE( copy_controlled_stepper_iterator ) +{ + typedef adaptive_iterator< dummy_controlled_stepper , empty_system , state_type > iterator_type; + + state_type x = {{ 1.0 }}; + iterator_type iter1( dummy_controlled_stepper() , empty_system() , x ); + iterator_type iter2( iter1 ); + + BOOST_CHECK_EQUAL( &( *iter1 ) , &x ); + BOOST_CHECK_EQUAL( &( *iter2 ) , &x ); + BOOST_CHECK_EQUAL( &( *iter1 ) , &( *iter2 ) ); + BOOST_CHECK( iter1.same( iter2 ) ); + + ++iter1; + ++iter2; + + BOOST_CHECK_EQUAL( &( *iter1 ) , &x ); + BOOST_CHECK_EQUAL( &( *iter2 ) , &x ); + BOOST_CHECK_EQUAL( &( *iter1 ) , &( *iter2 ) ); + BOOST_CHECK( iter1.same( iter2 ) ); + +} + +BOOST_AUTO_TEST_CASE( copy_dense_output_stepper_iterator ) +{ + typedef adaptive_iterator< dummy_dense_output_stepper , empty_system , state_type > iterator_type; + + state_type x = {{ 1.0 }}; + // fix by mario: do not dereference iterators at the end - made iter1 start iterator + iterator_type iter1( dummy_dense_output_stepper() , empty_system() , x , 0.0 , 1.0 , 0.1 ); + iterator_type iter2( iter1 ); + + // fix by mario: iterator dereference now always gives internal state also for dense output, consistent with other iterator implementations + // changed: iterators with dense output stepper do not have an internal state now to avoid a copy + BOOST_CHECK_NE( & (*iter1) , & (*iter2) ); + BOOST_CHECK( iter1.same( iter2 ) ); + + ++iter1; + ++iter2; + + BOOST_CHECK_NE( & (*iter1) , & (*iter2) ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE( copy_dense_output_stepper_iterator_with_reference_wrapper ) +{ + // bad use case, the same stepper is iterated twice + typedef adaptive_iterator< boost::reference_wrapper< dummy_dense_output_stepper > , empty_system , state_type > iterator_type; + + state_type x = {{ 1.0 }}; + dummy_dense_output_stepper stepper; + iterator_type iter1( boost::ref( stepper ) , empty_system() , x , 0.0 , 0.9 , 0.1 ); + iterator_type iter2( iter1 ); + + BOOST_CHECK_EQUAL( & (*iter1) , & (*iter2) ); + BOOST_CHECK( iter1.same( iter2 ) ); + + ++iter1; + ++iter2; + + BOOST_CHECK_EQUAL( & (*iter1) , & (*iter2) ); + BOOST_CHECK( !iter1.same( iter2 ) ); // they point to the same stepper, there the times will be different +} + + + +BOOST_AUTO_TEST_CASE( assignment_controlled_stepper_iterator ) +{ + typedef adaptive_iterator< dummy_controlled_stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( dummy_controlled_stepper() , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( dummy_controlled_stepper() , empty_system() , x2 , 0.0 , 1.0 , 0.2 ); + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x2 ); + // the iterators are indeed the same as this only checks the time values + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + + +BOOST_AUTO_TEST_CASE( assignment_dense_output_stepper_iterator ) +{ + typedef adaptive_iterator< dummy_dense_output_stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }}; + iterator_type iter1 = iterator_type( dummy_dense_output_stepper() , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( dummy_dense_output_stepper() , empty_system() , x1 , 0.0 , 1.0 , 0.2 ); + + BOOST_CHECK_NE( & (*iter1) , & (*iter2) ); + BOOST_CHECK( !iter1.same( iter2 ) ); + + iter2 = iter1; + // fix by mario: iterator dereference now always gives internal state also for dense output, consistent with other iterator implementations + // changed: iterators with dense output stepper do not have an internal state now to avoid a copy + BOOST_CHECK_NE( & (*iter1) , & (*iter2) ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE( assignment_dense_output_stepper_iterator_with_reference_wrapper ) +{ + typedef adaptive_iterator< boost::reference_wrapper< dummy_dense_output_stepper > , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }}; + + dummy_dense_output_stepper stepper; + iterator_type iter1 = iterator_type( boost::ref( stepper ) , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( boost::ref( stepper ) , empty_system() , x1 , 0.0 , 1.0 , 0.2 ); + + BOOST_CHECK_EQUAL( & (*iter1) , & (*iter2) ); + BOOST_CHECK( !iter1.same( iter2 ) ); + + iter2 = iter1; + + BOOST_CHECK_EQUAL( & (*iter1) , & (*iter2) ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + + +BOOST_AUTO_TEST_CASE( controlled_stepper_iterator_factory ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_iterator_factory ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); +} + + + +BOOST_AUTO_TEST_CASE( controlled_stepper_range ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_range( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_range ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_range( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); +} + + +BOOST_AUTO_TEST_CASE( controlled_stepper_iterator_with_reference_wrapper_factory ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_iterator_with_reference_wrapper_factory ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); +} + +BOOST_AUTO_TEST_CASE( controlled_stepper_range_with_reference_wrapper ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_range_with_reference_wrapper ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef adaptive_iterator< Stepper , empty_system , state_type > stepper_iterator; + + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , 2.5 , 2.0 , 0.1 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( first1 == last1 ); + BOOST_CHECK( first1 == last2 ); + BOOST_CHECK( last1 == last2 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef adaptive_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + stepper_iterator first( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 5 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[4][0] , 2.0 , 1.0e-14 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + std::copy( make_adaptive_iterator_begin( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + make_adaptive_iterator_end( Stepper() , empty_system() , x ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 5 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[4][0] , 2.0 , 1.0e-14 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + boost::range::copy( make_adaptive_range( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 5 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[4][0] , 2.0 , 1.0e-14 ); +} + + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/adaptive_time_iterator.cpp b/src/boost/libs/numeric/odeint/test/adaptive_time_iterator.cpp new file mode 100644 index 000000000..406a71c65 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/adaptive_time_iterator.cpp @@ -0,0 +1,332 @@ +/* + [auto_generated] + libs/numeric/odeint/test/adaptive_time_iterator.cpp + + [begin_description] + This file tests the adaptive time iterator. + [end_description] + + Copyright 2012-2013 Karsten Ahnert + Copyright 2012-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_adaptive_time_iterator + +#include <iterator> +#include <algorithm> +#include <vector> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/adaptive_time_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + + + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; +typedef dummy_stepper::time_type time_type; +typedef std::vector< std::pair< state_type , time_type > > result_vector; + +BOOST_AUTO_TEST_SUITE( adaptive_time_iterator_test ) + +typedef mpl::vector< + dummy_controlled_stepper + , dummy_dense_output_stepper + > dummy_steppers; + + +BOOST_AUTO_TEST_CASE( copy_stepper_iterator ) +{ + typedef adaptive_time_iterator< dummy_controlled_stepper , empty_system , state_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( dummy_controlled_stepper() , empty_system() , x , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &( iter1->first ) , &( iter2->first ) ); + BOOST_CHECK_EQUAL( &( iter1->first ) , &x ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE( copy_dense_output_stepper_iterator ) +{ + typedef adaptive_time_iterator< dummy_dense_output_stepper , empty_system , state_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( dummy_dense_output_stepper() , empty_system() , x , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iter1; + BOOST_CHECK_NE( &( iter1->first ) , &( iter2->first ) ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE( copy_dense_output_stepper_iterator_with_reference_wrapper ) +{ + typedef adaptive_time_iterator< boost::reference_wrapper< dummy_dense_output_stepper > , empty_system , state_type > iterator_type; + state_type x = {{ 1.0 }}; + dummy_dense_output_stepper stepper; + iterator_type iter1 = iterator_type( boost::ref( stepper ) , empty_system() , x , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &( iter1->first ) , &( iter2->first ) ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + +BOOST_AUTO_TEST_CASE( assignment_stepper_iterator ) +{ + typedef adaptive_time_iterator< dummy_controlled_stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( dummy_controlled_stepper() , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( dummy_controlled_stepper() , empty_system() , x2 , 0.0 , 1.0 , 0.2 ); + BOOST_CHECK_EQUAL( &( iter1->first ) , &x1 ); + BOOST_CHECK_EQUAL( &( iter2->first ) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &( iter1->first ) , &x1 ); + BOOST_CHECK_EQUAL( &( iter2->first ) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE( assignment_dense_output_stepper_iterator ) +{ + typedef adaptive_time_iterator< dummy_dense_output_stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( dummy_dense_output_stepper() , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( dummy_dense_output_stepper() , empty_system() , x2 , 0.0 , 1.0 , 0.2 ); + BOOST_CHECK_NE( &( iter1->first ) , &x1 ); + BOOST_CHECK_NE( &( iter2->first ) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_NE( &( iter1->first ) , &x1 ); + BOOST_CHECK_NE( &( iter2->first ) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); + BOOST_CHECK_EQUAL( (iter1->first)[0] , (iter1->first)[0] ); +} + +BOOST_AUTO_TEST_CASE( assignment_dense_output_stepper_iterator_with_reference_wrapper ) +{ + typedef adaptive_time_iterator< boost::reference_wrapper< dummy_dense_output_stepper > , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + dummy_dense_output_stepper stepper; + iterator_type iter1 = iterator_type( boost::ref( stepper ) , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( boost::ref( stepper ) , empty_system() , x2 , 0.0 , 1.0 , 0.2 ); + + BOOST_CHECK_NE( &( iter1->first ) , &x1 ); + BOOST_CHECK_NE( &( iter2->first ) , &x2 ); + // same stepper instance -> same internal state + BOOST_CHECK_EQUAL( &( iter1->first ) , &( iter2->first ) ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_NE( &( iter1->first ) , &x1 ); + BOOST_CHECK_NE( &( iter2->first ) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); + BOOST_CHECK_EQUAL( &( iter1->first ) , &( iter2->first ) ); +} + + +BOOST_AUTO_TEST_CASE( stepper_iterator_factory ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_time_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_time_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_iterator_factory ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_time_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_time_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); +} + + +BOOST_AUTO_TEST_CASE( stepper_range ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_time_range( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_range ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_time_range( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); +} + + +BOOST_AUTO_TEST_CASE( stepper_iterator_with_reference_wrapper_factory ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_time_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_time_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_iterator_with_reference_wrapper_factory ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_adaptive_time_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_adaptive_time_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); +} + + + +BOOST_AUTO_TEST_CASE( stepper_range_with_reference_wrapper ) +{ + dummy_controlled_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_time_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-14 ); +} + +// just test if it compiles +BOOST_AUTO_TEST_CASE( dense_output_stepper_range_with_reference_wrapper ) +{ + dummy_dense_output_stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_adaptive_time_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); +} + + + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef adaptive_time_iterator< Stepper , empty_system , state_type > stepper_iterator; + + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , 1.5 , 1.0 , 0.1 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( first1 == last1 ); + BOOST_CHECK( first1 == last2 ); + BOOST_CHECK( last1 == last2 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef adaptive_time_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + result_vector res; + stepper_iterator first( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 5 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[4].first[0] , 2.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[4].second , 0.35 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + std::copy( make_adaptive_time_iterator_begin( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + make_adaptive_time_iterator_end( Stepper() , empty_system() , x ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 5 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[4].first[0] , 2.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[4].second , 0.35 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + boost::range::copy( make_adaptive_time_range( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 5 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[4].first[0] , 2.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[4].second , 0.35 , 1.0e-13 ); +} + + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/algebra_dispatcher.cpp b/src/boost/libs/numeric/odeint/test/algebra_dispatcher.cpp new file mode 100644 index 000000000..66a292fd1 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/algebra_dispatcher.cpp @@ -0,0 +1,82 @@ +/* + [auto_generated] + libs/numeric/odeint/test/algebra_dispatcher.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_algebra_dispatcher + +#include <boost/numeric/odeint/config.hpp> +#include <boost/numeric/odeint/algebra/algebra_dispatcher.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_fehlberg78.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra_dispatcher.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/static_assert.hpp> +#include <boost/type_traits/is_same.hpp> +#include <boost/array.hpp> +#include <boost/mpl/list.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + + +BOOST_AUTO_TEST_SUITE( algebra_dispatcher_test ) + +BOOST_AUTO_TEST_CASE( range_algebra_with_vector ) +{ + typedef runge_kutta4< std::vector< double > > stepper_type; + BOOST_STATIC_ASSERT(( boost::is_same< stepper_type::algebra_type , range_algebra >::value )); +} + +BOOST_AUTO_TEST_CASE( array_algebra_with_array ) +{ + typedef runge_kutta4< boost::array< double , 2 > > stepper_type; + BOOST_STATIC_ASSERT(( boost::is_same< stepper_type::algebra_type , array_algebra >::value )); +} + +BOOST_AUTO_TEST_CASE( range_algebra_with_array ) +{ + typedef runge_kutta4< boost::array< double , 2 > , double , boost::array< double , 2 > , double , range_algebra > stepper_type; + BOOST_STATIC_ASSERT(( boost::is_same< stepper_type::algebra_type , range_algebra >::value )); +} + +BOOST_AUTO_TEST_CASE( fusion_algebra_with_fusion_vector ) +{ + typedef runge_kutta4< boost::fusion::vector< double > > stepper_type; + BOOST_STATIC_ASSERT(( boost::is_same< stepper_type::algebra_type , fusion_algebra >::value )); +} + +BOOST_AUTO_TEST_CASE( fusion_algebra_with_fusion_vector2 ) +{ + typedef runge_kutta_fehlberg78< boost::fusion::vector< double > > stepper_type; + BOOST_STATIC_ASSERT(( boost::is_same< stepper_type::algebra_type , fusion_algebra >::value )); +} + +typedef boost::mpl::list< float , double , long double , std::complex< double > , std::complex< float > > fp_types; +BOOST_AUTO_TEST_CASE_TEMPLATE( vector_space_algebra_with_floating_point , T , fp_types ) +{ + typedef runge_kutta_fehlberg78< T > stepper_type; + BOOST_STATIC_ASSERT(( boost::is_same< typename stepper_type::algebra_type , vector_space_algebra >::value )); +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/boost_units_helpers.hpp b/src/boost/libs/numeric/odeint/test/boost_units_helpers.hpp new file mode 100644 index 000000000..7ff427578 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/boost_units_helpers.hpp @@ -0,0 +1,59 @@ +/* + [auto_generated] + libs/numeric/odeint/test/dummy_boost_units.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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 LIBS_NUMERIC_ODEINT_TEST_DUMMY_BOOST_UNITS_HPP_DEFINED +#define LIBS_NUMERIC_ODEINT_TEST_DUMMY_BOOST_UNITS_HPP_DEFINED + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/fusion/container.hpp> + + + +typedef double value_type; +typedef boost::units::quantity< boost::units::si::time , value_type > time_type; +typedef boost::units::quantity< boost::units::si::length , value_type > length_type; +typedef boost::units::quantity< boost::units::si::velocity , value_type > velocity_type; +typedef boost::units::quantity< boost::units::si::acceleration , value_type > acceleration_type; + + + +struct oscillator_mom_func_units +{ + template< class Coor , class MomDeriv > + void operator()( const Coor &q , MomDeriv &dp ) const + { + const boost::units::quantity< boost::units::si::frequency , value_type > omega = 1.0 * boost::units::si::hertz; + boost::fusion::at_c< 0 >( dp ) = - omega * omega * boost::fusion::at_c< 0 >( q ); + } +}; + +struct oscillator_coor_func_units +{ + template< class Mom , class CoorDeriv > + void operator()( const Mom &p , CoorDeriv &dq ) const + { + boost::fusion::at_c< 0 >( dq ) = boost::fusion::at_c< 0 >( p ); + } +}; + + +#endif // LIBS_NUMERIC_ODEINT_TEST_DUMMY_BOOST_UNITS_HPP_DEFINED diff --git a/src/boost/libs/numeric/odeint/test/bulirsch_stoer.cpp b/src/boost/libs/numeric/odeint/test/bulirsch_stoer.cpp new file mode 100644 index 000000000..2c6a0c95a --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/bulirsch_stoer.cpp @@ -0,0 +1,155 @@ +/* + [auto_generated] + libs/numeric/odeint/test/bulirsch_stoer.cpp + + [begin_description] + This file tests the Bulirsch-Stoer stepper. + [end_description] + + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) + */ + + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_bulirsch_stoer + +#include <utility> +#include <iostream> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp> + +#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; +typedef boost::array< value_type , 3 > state_type; + +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +struct lorenz +{ + template< class State , class Deriv > + void operator()( const State &x , Deriv &dxdt , double t ) const + { + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; + +struct const_system +{ + template< class State , class Deriv > + void operator()( const State &x , Deriv &dxdt , double t ) const + { + dxdt[0] = 1.0; + dxdt[1] = 1.0; + dxdt[2] = 1.0; + } +}; + +struct sin_system +{ + template< class State , class Deriv > + void operator()( const State &x , Deriv &dxdt , double t ) const + { + dxdt[0] = sin( x[0] ); + dxdt[1] = cos( x[1] ); + dxdt[2] = sin( x[2] ) + cos( x[2] ); + } +}; + +BOOST_AUTO_TEST_SUITE( bulirsch_stoer_test ) + +BOOST_AUTO_TEST_CASE( test_bulirsch_stoer ) +{ + typedef bulirsch_stoer< state_type > stepper_type; + stepper_type stepper( 1E-9 , 1E-9 , 1.0 , 0.0 ); + + state_type x; + x[0] = 10.0 ; x[1] = 10.0 ; x[2] = 5.0; + + double dt = 0.1; + + //stepper.try_step( lorenz() , x , t , dt ); + + std::cout << "starting integration..." << std::endl; + + size_t steps = integrate_adaptive( stepper , lorenz() , x , 0.0 , 10.0 , dt ); + + std::cout << "required steps: " << steps << std::endl; + + bulirsch_stoer_dense_out< state_type > bs_do( 1E-9 , 1E-9 , 1.0 , 0.0 ); + x[0] = 10.0 ; x[1] = 10.0 ; x[2] = 5.0; + double t = 0.0; + dt = 1E-1; + bs_do.initialize( x , t , dt ); + bs_do.do_step( sin_system() ); + std::cout << "one step successful, new time: " << bs_do.current_time() << " (" << t << ")" << std::endl; + + x = bs_do.current_state(); + std::cout << "x( " << bs_do.current_time() << " ) = [ " << x[0] << " , " << x[1] << " , " << x[2] << " ]" << std::endl; + + bs_do.calc_state( bs_do.current_time()/3 , x ); + std::cout << "x( " << bs_do.current_time()/3 << " ) = [ " << x[0] << " , " << x[1] << " , " << x[2] << " ]" << std::endl; + + std::cout << std::endl << "=======================================================================" << std::endl << std::endl; + + x[0] = 10.0 ; x[1] = 10.0 ; x[2] = 5.0; + t = 0.0; dt /= 3; + bs_do.initialize( x , t , dt ); + bs_do.do_step( sin_system() ); + x = bs_do.current_state(); + std::cout << "x( " << bs_do.current_time() << " ) = [ " << x[0] << " , " << x[1] << " , " << x[2] << " ]" << std::endl; + + t = dt; + bs_do.initialize( x , t , dt ); + bs_do.do_step( sin_system() ); + x = bs_do.current_state(); + + t = 2*dt; + bs_do.initialize( x , t , dt ); + bs_do.do_step( sin_system() ); + x = bs_do.current_state(); + + std::cout << "x( " << bs_do.current_time() << " ) = [ " << x[0] << " , " << x[1] << " , " << x[2] << " ]" << std::endl << std::endl << std::endl; +} + +BOOST_AUTO_TEST_CASE( test_bulirsch_stoer_adjust_size ) +{ + typedef bulirsch_stoer< state_type > stepper_type; + stepper_type stepper( 1E-9 , 1E-9 , 1.0 , 0.0 ); + + state_type x; x[0] = 10.0 ; x[1] = 10.0 ; x[2] = 5.0; + + stepper.adjust_size( x ); + + + double dt = 0.1; + + size_t steps = integrate_adaptive( stepper , lorenz() , x , 0.0 , 10.0 , dt ); + + std::cout << "required steps: " << steps << std::endl; +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/const_range.hpp b/src/boost/libs/numeric/odeint/test/const_range.hpp new file mode 100644 index 000000000..d646b1d89 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/const_range.hpp @@ -0,0 +1,50 @@ +/* + [auto_generated] + libs/numeric/odeint/test/const_range.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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 LIBS_NUMERIC_ODEINT_TEST_CONST_RANGE_HPP_DEFINED +#define LIBS_NUMERIC_ODEINT_TEST_CONST_RANGE_HPP_DEFINED + +#include <boost/mpl/copy.hpp> +#include <boost/mpl/inserter.hpp> +#include <boost/mpl/insert.hpp> +#include <boost/mpl/end.hpp> +#include <boost/mpl/vector.hpp> +#include <boost/mpl/range_c.hpp> +#include <boost/mpl/placeholders.hpp> + + +namespace mpl = boost::mpl; + + + +template< class N , class T > +struct const_range +{ + typedef typename mpl::copy< + mpl::range_c< typename N::value_type , 0 , N::value > , + mpl::inserter< + mpl::vector0<> , + mpl::insert< + mpl::_1 , + mpl::end< mpl::_1 > , + T + > + > + >::type type; +}; + +#endif // LIBS_NUMERIC_ODEINT_TEST_CONST_RANGE_HPP_DEFINED diff --git a/src/boost/libs/numeric/odeint/test/const_step_iterator.cpp b/src/boost/libs/numeric/odeint/test/const_step_iterator.cpp new file mode 100644 index 000000000..2d0ac9dbe --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/const_step_iterator.cpp @@ -0,0 +1,232 @@ +/* + [auto_generated] + libs/numeric/odeint/test/const_step_iterator.cpp + + [begin_description] + This file tests the const step iterator. + [end_description] + + Copyright 2012-2013 Karsten Ahnert + Copyright 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) + */ + + +#define BOOST_TEST_MODULE odeint_const_step_iterator + +#include <iterator> +#include <algorithm> +#include <vector> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/const_step_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; + + +BOOST_AUTO_TEST_SUITE( const_step_iterator_test ) + +typedef mpl::vector< + dummy_stepper + , dummy_dense_output_stepper + > dummy_steppers; + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef const_step_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x , 0.0 , 0.999 , 0.1 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &(*iter1) , &(*iter2) ); + BOOST_CHECK_EQUAL( &(*iter1) , &x ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( assignment_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef const_step_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( Stepper() , empty_system() , x2 , 0.0 , 1.0 , 0.2 ); + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_const_step_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_const_step_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + // dummy_steppers just add 0.25 at each step, the above for_each leads to 10 do_step calls so x should be 3.5 + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_const_step_range( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_with_reference_wrapper_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_const_step_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_const_step_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range_with_reference_wrapper , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_const_step_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef const_step_iterator< Stepper , empty_system , state_type > stepper_iterator; + + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , 2.5 , 2.0 , 0.1 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( first1 == last1 ); + BOOST_CHECK( first1 == last2 ); + BOOST_CHECK( last1 == last2 ); + + first1 = stepper_iterator( Stepper() , empty_system() , x , 2.0 , 2.0 , 0.1 ); + last1 = stepper_iterator( Stepper() , empty_system() , x ); + BOOST_CHECK( first1 != last1 ); + BOOST_CHECK( ++first1 == last1 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef const_step_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + stepper_iterator first( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); // the iterator should not iterate over the end +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_negative_time_step , Stepper , dummy_steppers ) +{ + typedef const_step_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + stepper_iterator first( Stepper() , empty_system() , x , 0.3 , -0.05 , -0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + std::copy( make_const_step_iterator_begin( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + make_const_step_iterator_end( Stepper() , empty_system() , x ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + boost::range::copy( make_const_step_range( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); +} + + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/const_step_time_iterator.cpp b/src/boost/libs/numeric/odeint/test/const_step_time_iterator.cpp new file mode 100644 index 000000000..9227f5c04 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/const_step_time_iterator.cpp @@ -0,0 +1,218 @@ +/* + [auto_generated] + libs/numeric/odeint/test/const_step_time_iterator.cpp + + [begin_description] + This file tests the const step time iterator. + [end_description] + + Copyright 2012-2013 Karsten Ahnert + Copyright 2012-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_const_step_time_iterator + +#include <iterator> +#include <algorithm> +#include <vector> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/const_step_time_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; +typedef dummy_stepper::time_type time_type; +typedef std::vector< std::pair< state_type , time_type > > result_vector; + +BOOST_AUTO_TEST_SUITE( const_step_time_iterator_test ) + +typedef mpl::vector< + dummy_stepper + , dummy_dense_output_stepper + > dummy_steppers; + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef const_step_time_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &( iter1->first ) , &( iter2->first ) ); + BOOST_CHECK_EQUAL( &( iter1->first ) , &x ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( assignment_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef const_step_time_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x1 , 0.0 , 1.0 , 0.1 ); + iterator_type iter2 = iterator_type( Stepper() , empty_system() , x2 , 0.0 , 1.0 , 0.2 ); + BOOST_CHECK_EQUAL( &( iter1->first ) , &x1 ); + BOOST_CHECK_EQUAL( &( iter2->first ) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &( iter1->first ) , &x1 ); + BOOST_CHECK_EQUAL( &( iter2->first ) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_const_step_time_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_const_step_time_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_const_step_time_range( stepper , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_with_reference_wrapper_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_const_step_time_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + make_const_step_time_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range_with_reference_wrapper , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_const_step_time_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 1.0 , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef const_step_time_iterator< Stepper , empty_system , state_type > stepper_iterator; + + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , 1.5 , 1.0 , 0.1 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( first1 == last1 ); + BOOST_CHECK( first1 == last2 ); + BOOST_CHECK( last1 == last2 ); + + first1 = stepper_iterator( Stepper() , empty_system() , x , 2.0 , 2.0 , 0.1 ); + last1 = stepper_iterator( Stepper() , empty_system() , x ); + BOOST_CHECK( first1 != last1 ); + BOOST_CHECK( ++first1 == last1 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef const_step_time_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + result_vector res; + stepper_iterator first( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + std::copy( make_const_step_time_iterator_begin( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + make_const_step_time_iterator_end( Stepper() , empty_system() , x ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + boost::range::copy( make_const_step_time_range( Stepper() , empty_system() , x , 0.0 , 0.35 , 0.1 ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/controlled_adams_bashforth_moulton.cpp b/src/boost/libs/numeric/odeint/test/controlled_adams_bashforth_moulton.cpp new file mode 100644 index 000000000..40d657209 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/controlled_adams_bashforth_moulton.cpp @@ -0,0 +1,56 @@ +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_controlled_adams_bashforth_moulton + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/adaptive_adams_bashforth_moulton.hpp> +#include <boost/numeric/odeint/stepper/controlled_adams_bashforth_moulton.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +struct const_sys +{ + template< class State , class Deriv , class Value > + void operator()( const State &x , Deriv &dxdt , const Value &dt ) const + { + dxdt[0] = 1; + } +}; + +typedef boost::array< double , 1 > state_type; +typedef double value_type; + +BOOST_AUTO_TEST_SUITE( controlled_adams_bashforth_moulton_test ) + +BOOST_AUTO_TEST_CASE( test_instantiation ) +{ + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<1, state_type> > s1; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<2, state_type> > s2; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<3, state_type> > s3; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<4, state_type> > s4; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<5, state_type> > s5; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<6, state_type> > s6; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<7, state_type> > s7; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<8, state_type> > s8; + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<9, state_type> > s9; + + state_type x = {{ 10.0 }}; + value_type t = 0.0 , dt = 0.01; + + s1.try_step(const_sys(), x, t, dt); + s2.try_step(const_sys(), x, t, dt); + s3.try_step(const_sys(), x, t, dt); + s4.try_step(const_sys(), x, t, dt); + s5.try_step(const_sys(), x, t, dt); + s6.try_step(const_sys(), x, t, dt); + s7.try_step(const_sys(), x, t, dt); + s8.try_step(const_sys(), x, t, dt); + s9.try_step(const_sys(), x, t, dt); +} + +BOOST_AUTO_TEST_SUITE_END()
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/test/default_operations.cpp b/src/boost/libs/numeric/odeint/test/default_operations.cpp new file mode 100644 index 000000000..a2634b7fe --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/default_operations.cpp @@ -0,0 +1,257 @@ +/* + [auto_generated] + libs/numeric/odeint/test/default_operations.cpp + + [begin_description] + This file tests default_operations. + [end_description] + + Copyright 2011-2012 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) +*/ + + +#define BOOST_TEST_MODULE odeint_standard_operations + +#include <cmath> +#include <complex> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/mpl/list.hpp> + +#include <boost/numeric/odeint/algebra/default_operations.hpp> + +namespace units = boost::units; +namespace si = boost::units::si; +namespace mpl = boost::mpl; +using boost::numeric::odeint::default_operations; + + +template< class Value > struct internal_value_type { typedef Value type; }; +template< class T > struct internal_value_type< std::complex< T > > { typedef T type; }; + +template< class T > struct default_eps; +template<> struct default_eps< double > { static double def_eps( void ) { return 1.0e-10; } }; +template<> struct default_eps< float > { static float def_eps( void ) { return 1.0e-5; } }; + + +typedef units::unit< units::derived_dimension< units::time_base_dimension , 2 >::type , si::system > time_2; +typedef units::unit< units::derived_dimension< units::time_base_dimension , 3 >::type , si::system > time_3; +typedef units::unit< units::derived_dimension< units::time_base_dimension , 4 >::type , si::system > time_4; +typedef units::unit< units::derived_dimension< units::time_base_dimension , 5 >::type , si::system > time_5; +typedef units::unit< units::derived_dimension< units::time_base_dimension , 6 >::type , si::system > time_6; +typedef units::unit< units::derived_dimension< units::time_base_dimension , 7 >::type , si::system > time_7; + +const time_2 second2 = si::second * si::second; +const time_3 second3 = second2 * si::second; +const time_4 second4 = second3 * si::second; +const time_5 second5 = second4 * si::second; +const time_6 second6 = second5 * si::second; +const time_7 second7 = second6 * si::second; + + + + +template< class Value , class Compare = typename internal_value_type< Value >::type > +struct double_fixture +{ + typedef Value value_type; + typedef Compare compare_type; + + double_fixture( const compare_type &eps_ = default_eps< compare_type >::def_eps() ) + : m_eps( eps_ ) , res( 0.0 ) , x1( 1.0 ) , x2( 2.0 ) , x3( 3.0 ) , x4( 4.0 ) , x5( 5.0 ) , x6( 6.0 ) , x7( 7.0 ) , x8( 8.0 ) + {} + + ~double_fixture( void ) + { + using std::abs; + BOOST_CHECK_SMALL( abs( x1 - value_type( 1.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( x2 - value_type( 2.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( x3 - value_type( 3.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( x4 - value_type( 4.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( x5 - value_type( 5.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( x6 - value_type( 6.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( x7 - value_type( 7.0 ) ) , m_eps ); + } + + const compare_type m_eps; + value_type res; + value_type x1 , x2 , x3 , x4 , x5 , x6 , x7 , x8; +}; + +template< class Value , class Compare = typename internal_value_type< Value >::type > +struct unit_fixture +{ + typedef Value value_type; + typedef Compare compare_type; + typedef units::quantity< si::length , value_type > length_type; + + typedef units::quantity< si::time , value_type > time_type; + typedef units::quantity< time_2 , value_type > time_2_type; + typedef units::quantity< time_3 , value_type > time_3_type; + typedef units::quantity< time_4 , value_type > time_4_type; + typedef units::quantity< time_5 , value_type > time_5_type; + typedef units::quantity< time_6 , value_type > time_6_type; + typedef units::quantity< time_7 , value_type > time_7_type; + + typedef units::quantity< si::velocity , value_type > velocity_type; + typedef units::quantity< si::acceleration , value_type > acceleration_type; + + unit_fixture( const compare_type &eps_ = default_eps< compare_type >::def_eps() ) + : m_eps( eps_ ) + , res( 0.0 * si::meter ) + , x( 1.0 * si::meter ) + , d1x( 2.0 * si::meter / si::second ) + , d2x( 3.0 * si::meter / si::second / si::second ) + {} + + ~unit_fixture( void ) + { + using std::abs; + BOOST_CHECK_SMALL( abs( x.value() - value_type( 1.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( d1x.value() - value_type( 2.0 ) ) , m_eps ); + BOOST_CHECK_SMALL( abs( d2x.value() - value_type( 3.0 ) ) , m_eps ); + } + + compare_type m_eps; + length_type res; + length_type x; + velocity_type d1x; + acceleration_type d2x; +}; + + +typedef mpl::list< float , double , std::complex< double > > test_types; + +BOOST_AUTO_TEST_SUITE( check_operations_test ) + +using std::abs; + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum2_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + typedef typename default_operations::scale_sum2< T , T > Op; + Op op( 1.25 , 9.81 ); + op( f.res , f.x1 , f.x2 ); + BOOST_CHECK_SMALL( abs( f.res - T( 20.87 ) ) , f.m_eps ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum3_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + typedef default_operations::scale_sum3< T , T , T > Op; + Op op( 1.25 , 9.81 , 0.87 ); + op( f.res , f.x1 , f.x2 , f.x3 ); + BOOST_CHECK_SMALL( abs( f.res - T( 23.48 ) ) , f.m_eps ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum4_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + typedef default_operations::scale_sum4< T , T , T , T > Op; + Op op( 1.25 , 9.81 , 0.87 , -0.15 ); + op( f.res , f.x1 , f.x2 , f.x3 , f.x4 ); + BOOST_CHECK_SMALL( abs( f.res - T( 22.88 ) ) , f.m_eps ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum5_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + typedef default_operations::scale_sum5< T , T , T , T , T > Op; + Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 ); + op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 ); + BOOST_CHECK_SMALL( abs( f.res - T( 6.38 ) ) , f.m_eps ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum6_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + typedef default_operations::scale_sum6< T , T , T , T , T , T > Op; + Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 , 4.2 ); + op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 , f.x6 ); + BOOST_CHECK_SMALL( abs( f.res - T( 31.58 ) ) , f.m_eps ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum7_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + typedef default_operations::scale_sum7< T , T , T , T , T , T , T > Op; + Op op( 1.25 , 9.81 , 0.87 , -0.15 , -3.3 , 4.2 , -0.22 ); + op( f.res , f.x1 , f.x2 , f.x3 , f.x4 , f.x5 , f.x6 , f.x7 ); + BOOST_CHECK_SMALL( abs( f.res - T( 30.04 ) ) , f.m_eps ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( rel_error_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + f.res = -1.1; + typedef default_operations::rel_error< T > Op; + Op op( 0.1 , 0.2 , 0.15 , 0.12 ); + op( f.res , -f.x1 , -f.x2 ); + BOOST_CHECK_SMALL( abs( f.res - T( 6.17978 ) ) , typename fix_type::compare_type( 1.0e-4 ) ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( maximum_test , T , test_types ) +{ + typedef double_fixture< T > fix_type; + fix_type f; + typedef default_operations::maximum< typename fix_type::compare_type > Op; + Op op; + f.res = op( f.x1 , f.x2 ); + BOOST_CHECK_SMALL( abs( f.res - T( 2.0 ) ) , f.m_eps ); +} + + + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum2_units_test , T , test_types ) +{ + typedef unit_fixture< T > fix_type; + typedef typename fix_type::value_type value_type; + typedef typename fix_type::time_type time_type; + + fix_type f; + typedef default_operations::scale_sum2< value_type , time_type > Op; + Op op( 1.0 , time_type( 1.0 * si::second ) ); + op( f.res , f.x , f.d1x ); + BOOST_CHECK_SMALL( abs( f.res.value() - T( 3.0 ) ) , f.m_eps ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( scale_sum3_units_test , T , test_types ) +{ + typedef unit_fixture< T > fix_type; + typedef typename fix_type::value_type value_type; + typedef typename fix_type::time_type time_type; + typedef typename fix_type::time_2_type time_2_type; + + fix_type f; + typedef default_operations::scale_sum3< value_type , time_type , time_2_type > Op; + Op op( 1.0 , time_type( 1.0 * si::second ) , time_2_type( 1.0 * second2 ) ); + op( f.res , f.x , f.d1x , f.d2x ); + BOOST_CHECK_SMALL( abs( f.res.value() - T( 6.0 ) ) , f.m_eps ); +} + + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/diagnostic_state_type.hpp b/src/boost/libs/numeric/odeint/test/diagnostic_state_type.hpp new file mode 100644 index 000000000..0c21013ea --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/diagnostic_state_type.hpp @@ -0,0 +1,185 @@ +/* + [auto_generated] + libs/numeric/odeint/test/diagnostic_state_type.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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 LIBS_NUMERIC_ODEINT_TEST_DIAGNOSTIC_STATE_TYPE_HPP_DEFINED +#define LIBS_NUMERIC_ODEINT_TEST_DIAGNOSTIC_STATE_TYPE_HPP_DEFINED + +#include <boost/array.hpp> +#include <boost/numeric/odeint/util/is_resizeable.hpp> +#include <boost/numeric/odeint/util/same_size.hpp> +#include <boost/numeric/odeint/util/resize.hpp> +#include <boost/numeric/odeint/util/state_wrapper.hpp> + +template< size_t N > +struct counter +{ + static size_t& adjust_size_count( void ) + { + static size_t m_adjust_size_count; + return m_adjust_size_count; + } + + static size_t& construct_count( void ) + { + static size_t m_construct_count; + return m_construct_count; + } + + static size_t& copy_count( void ) + { + static size_t m_copy_count; + return m_copy_count; + } + + static size_t& destroy_count( void ) + { + static size_t m_destroy_count; + return m_destroy_count; + } + + + static void init_counter( void ) + { + counter< N >::adjust_size_count() = 0; + counter< N >::construct_count() = 0; + counter< N >::copy_count() = 0; + counter< N >::destroy_count() = 0; + } +}; + +template< size_t N > +class diagnostic_type : public boost::array< double , 1 > { }; + + +typedef diagnostic_type< 0 > diagnostic_state_type; +typedef diagnostic_type< 1 > diagnostic_deriv_type; +typedef diagnostic_type< 2 > diagnostic_state_type2; +typedef diagnostic_type< 3 > diagnostic_deriv_type2; + +typedef counter< 0 > counter_state; +typedef counter< 1 > counter_deriv; +typedef counter< 2 > counter_state2; +typedef counter< 3 > counter_deriv2; + + + +namespace boost { +namespace numeric { +namespace odeint { + + template< size_t N > + struct is_resizeable< diagnostic_type< N > > + { + typedef boost::true_type type; + const static bool value = type::value; + }; + + template< size_t N , size_t M > + struct same_size_impl< diagnostic_type< N > , diagnostic_type< M > > + { + static bool same_size( const diagnostic_type< N > &x1 , const diagnostic_type< M > &x2 ) + { + return false; + } + }; + + template< size_t N , class State1 > + struct same_size_impl< diagnostic_type< N > , State1 > + { + static bool same_size( const diagnostic_type< N > &x1 , const State1 &x2 ) + { + return false; + } + }; + + template< class State1 , size_t N > + struct same_size_impl< State1 , diagnostic_type< N > > + { + static bool same_size( const State1 &x1 , const diagnostic_type< N > &x2 ) + { + return false; + } + }; + + + + template< size_t N , class StateIn > + struct resize_impl< diagnostic_type< N > , StateIn > + { + static void resize( diagnostic_type< N > &x1 , const StateIn &x2 ) + { + counter< N >::adjust_size_count()++; + } + }; + + template< size_t N > + struct state_wrapper< diagnostic_type< N > > + { + typedef state_wrapper< diagnostic_type< N > > state_wrapper_type; + typedef diagnostic_type< N > state_type; + typedef double value_type; + + state_type m_v; + + state_wrapper() : m_v() + { + counter< N >::construct_count()++; + } + + state_wrapper( const state_type &v ) : m_v( v ) + { + counter< N >::construct_count()++; + counter< N >::copy_count()++; + } + + state_wrapper( const state_wrapper_type &x ) : m_v( x.m_v ) + { + counter< N >::construct_count()++; + counter< N >::copy_count()++; + } + + state_wrapper_type& operator=( const state_wrapper_type &x ) + { + counter< N >::copy_count()++; + return *this; + } + + ~state_wrapper() + { + counter< N >::destroy_count()++; + } + }; + + +} // namespace odeint +} // namespace numeric +} // namespace boost + +#define TEST_COUNTERS( c , s1 , s2 , s3 ,s4 ) \ + BOOST_CHECK_EQUAL( c::adjust_size_count() , size_t( s1 ) ); \ + BOOST_CHECK_EQUAL( c::construct_count() , size_t( s2 ) ); \ + BOOST_CHECK_EQUAL( c::copy_count() , size_t( s3 ) ); \ + BOOST_CHECK_EQUAL( c::destroy_count() , size_t( s4 ) ); + +#define TEST_COUNTERS_MSG( c , s1 , s2 , s3 ,s4 , msg ) \ + BOOST_CHECK_EQUAL( c::adjust_size_count() , size_t( s1 ) ); \ + BOOST_CHECK_EQUAL( c::construct_count() , size_t( s2 ) ); \ + BOOST_CHECK_EQUAL( c::copy_count() , size_t( s3 ) ); \ + BOOST_CHECK_EQUAL( c::destroy_count() , size_t( s4 ) ); + + +#endif // LIBS_NUMERIC_ODEINT_TEST_DIAGNOSTIC_STATE_TYPE_HPP_DEFINED diff --git a/src/boost/libs/numeric/odeint/test/dummy_observers.hpp b/src/boost/libs/numeric/odeint/test/dummy_observers.hpp new file mode 100644 index 000000000..744c374f1 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/dummy_observers.hpp @@ -0,0 +1,41 @@ +/* + [auto_generated] + libs/numeric/odeint/test/dummy_observers.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 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) +*/ + + +#ifndef LIBS_NUMERIC_ODEINT_TEST_DUMMY_OBSERVERS_HPP_DEFINED +#define LIBS_NUMERIC_ODEINT_TEST_DUMMY_OBSERVERS_HPP_DEFINED + + +namespace boost { +namespace numeric { +namespace odeint { + + +struct dummy_observer +{ + template< class State > + void operator()( const State &s ) const + { + } +}; + + +} // namespace odeint +} // namespace numeric +} // namespace boost + + +#endif // LIBS_NUMERIC_ODEINT_TEST_DUMMY_OBSERVERS_HPP_DEFINED diff --git a/src/boost/libs/numeric/odeint/test/dummy_odes.hpp b/src/boost/libs/numeric/odeint/test/dummy_odes.hpp new file mode 100644 index 000000000..7a92363f6 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/dummy_odes.hpp @@ -0,0 +1,151 @@ +/* + [auto_generated] + libs/numeric/odeint/test/dummy_odes.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2012-2013 Karsten Ahnert + Copyright 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) +*/ + + +#ifndef LIBS_NUMERIC_ODEINT_TEST_DUMMY_ODES_HPP_DEFINED +#define LIBS_NUMERIC_ODEINT_TEST_DUMMY_ODES_HPP_DEFINED + +#include <boost/fusion/include/at_c.hpp> + + + + + + +/* + * rhs functors/functions for different state types + */ +struct constant_system_functor_standard +{ + template< class State , class Deriv , class Time > + void operator()( const State &x , Deriv &dxdt , const Time t ) const + { + dxdt[0] = 1.0; + } +}; + +struct constant_system_functor_vector_space +{ + template< class State , class Deriv , class Time > + void operator()( const State &x , Deriv &dxdt , const Time t ) const + { + dxdt = 1.0; + } +}; + +struct constant_system_functor_fusion +{ + template< class State , class Deriv , class Time > + void operator()( const State &x , Deriv &dxdt , const Time t ) const + { + boost::fusion::at_c< 0 >( dxdt ) = boost::fusion::at_c< 0 >( x ) / Time( 1.0 ); + } +}; + +struct lorenz +{ + template< typename State , typename Deriv , typename Time > + void operator()( const State& x , Deriv& dxdt , const Time& t ) const + { + const Time sigma = 10.0; + const Time R = 28.0; + const Time b = 8.0 / 3.0; + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; + } +}; + +template< class State , class Deriv , class Time > +void constant_system_standard( const State &x , Deriv &dxdt , const Time t ) +{ + dxdt[0] = 1.0; +} + +template< class State , class Deriv , class Time > +void constant_system_vector_space( const State &x , Deriv &dxdt , const Time t ) +{ + dxdt = 1.0; +} + +template< class State , class Deriv , class Time > +void constant_system_fusion( const State &x , Deriv &dxdt , const Time t ) +{ + boost::fusion::at_c< 0 >( dxdt ) = boost::fusion::at_c< 0 >( x ) / Time( 1.0 ); +} + + + + +/* + * rhs functors for symplectic steppers + */ +struct constant_mom_func +{ + template< class StateIn , class StateOut > + void operator()( const StateIn &q , StateOut &dp ) const + { + dp[0] = 1.0; + } +}; + +struct default_coor_func +{ + template< class StateIn , class StateOut > + void operator()( const StateIn &p , StateOut &dq ) const + { + dq[0] = p[0]; + } +}; + + + +struct constant_mom_func_vector_space_1d +{ + template< class T > + void operator()( const T &q , T &dp ) const + { + dp = 1.0; + } +}; + +struct default_coor_func_vector_space_1d +{ + template< class T > + void operator()( const T &p , T &dq ) const + { + dq = p; + } +}; + + + + + + + +struct empty_system +{ + template <class State > + void operator()( const State &x , State &dxdt , double t ) const + { + } +}; + + + + +#endif // LIBS_NUMERIC_ODEINT_TEST_DUMMY_ODES_HPP_DEFINED diff --git a/src/boost/libs/numeric/odeint/test/dummy_steppers.hpp b/src/boost/libs/numeric/odeint/test/dummy_steppers.hpp new file mode 100644 index 000000000..5f8d749fd --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/dummy_steppers.hpp @@ -0,0 +1,122 @@ +/* + [auto_generated] + libs/numeric/odeint/test/dummy_steppers.hpp + + [begin_description] + Dummy steppers for several tests. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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_LIBS_NUMERIC_ODEINT_TEST_DUMMY_STEPPER_HPP_INCLUDED +#define BOOST_LIBS_NUMERIC_ODEINT_TEST_DUMMY_STEPPER_HPP_INCLUDED + +#include <boost/array.hpp> +#include <boost/numeric/odeint/stepper/stepper_categories.hpp> +#include <boost/numeric/odeint/stepper/controlled_step_result.hpp> + +namespace boost { +namespace numeric { +namespace odeint { + +struct dummy_stepper +{ + typedef double value_type; + typedef value_type time_type; + typedef boost::array< value_type , 1 > state_type; + typedef state_type deriv_type; + typedef unsigned short order_type; + typedef stepper_tag stepper_category; + + order_type order( void ) const { return 1; } + + template< class System > + void do_step( System sys , state_type &x , time_type t , time_type dt ) const + { + x[0] += 0.25; + } +}; + +struct dummy_dense_output_stepper +{ + typedef double value_type; + typedef value_type time_type; + typedef boost::array< value_type , 1 > state_type; + typedef state_type deriv_type; + typedef dense_output_stepper_tag stepper_category; + + void initialize( const state_type &x0 , time_type t0 , time_type dt0 ) + { + m_x = x0; + m_t = t0; + m_dt = dt0; + } + + template< class System > + std::pair< time_type , time_type > do_step( System sys ) + { + m_x[0] += 0.25; + m_t += m_dt; + return std::make_pair( m_t - m_dt , m_t ); + } + + void calc_state( time_type t_inter , state_type &x ) const + { + value_type theta = ( m_t - t_inter ) / m_dt; + x[0] = m_x[0] - 0.25 * theta; + + } + + const time_type& current_time( void ) const + { + return m_t; + } + + const state_type& current_state( void ) const + { + return m_x; + } + + const time_type& current_time_step( void ) const + { + return m_dt; + } + + state_type m_x; + time_type m_t; + time_type m_dt; +}; + + + +struct dummy_controlled_stepper +{ + typedef double value_type; + typedef value_type time_type; + typedef boost::array< value_type , 1 > state_type; + typedef state_type deriv_type; + typedef controlled_stepper_tag stepper_category; + + template< class Sys > + controlled_step_result try_step( Sys sys , state_type &x , time_type &t , time_type &dt ) const + { + x[0] += 0.25; + t += dt; + return success; + } +}; + + +} // odeint +} // numeric +} // boost + + +#endif // BOOST_LIBS_NUMERIC_ODEINT_TEST_DUMMY_STEPPER_HPP_INCLUDED diff --git a/src/boost/libs/numeric/odeint/test/euler_stepper.cpp b/src/boost/libs/numeric/odeint/test/euler_stepper.cpp new file mode 100644 index 000000000..a274de4b2 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/euler_stepper.cpp @@ -0,0 +1,105 @@ +/* + [auto_generated] + libs/numeric/odeint/test/euler_stepper.cpp + + [begin_description] + This file tests explicit Euler stepper. + [end_description] + + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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_explicit_euler + +#include <boost/test/unit_test.hpp> + +#include <utility> +#include <iostream> +#include <vector> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/algebra/range_algebra.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +// test with own vector implementation + +class my_vec : public std::vector< double > { + +public: + + my_vec() : std::vector< double >() + { } + + my_vec( const my_vec &x ) : std::vector< double >( x ) + { } + + + my_vec( size_t dim ) + : std::vector< double >( dim ) + { } + +}; + +namespace boost { +namespace numeric { +namespace odeint { + +template<> +struct is_resizeable< my_vec > +{ + //struct type : public boost::true_type { }; + typedef boost::true_type type; + const static bool value = type::value; +}; +} } } + +typedef double value_type; +//typedef std::vector< value_type > state_type; +typedef my_vec state_type; + +/* use functors, because functions don't work with msvc 10, I guess this is a bug */ +struct sys +{ + void operator()( const state_type &x , state_type &dxdt , const value_type t ) const + { + std::cout << "sys start " << dxdt.size() << std::endl; + dxdt[0] = x[0] + 2 * x[1]; + dxdt[1] = x[1]; + std::cout << "sys done" << std::endl; + } +}; + + +BOOST_AUTO_TEST_SUITE( explicit_euler_test ) + +BOOST_AUTO_TEST_CASE( test_euler ) +{ + range_algebra algebra; + euler< state_type > stepper( algebra ); + state_type x( 2 ); + x[0] = 0.0; x[1] = 1.0; + + std::cout << "initialized" << std::endl; + + const value_type eps = 1E-12; + const value_type dt = 0.1; + + stepper.do_step( sys() , x , 0.0 , dt ); + + using std::abs; + + // compare with analytic solution of above system + BOOST_CHECK_MESSAGE( abs( x[0] - 2.0*1.0*dt ) < eps , x[0] - 2.0*1.0*dt ); + BOOST_CHECK_MESSAGE( abs( x[1] - (1.0 + dt) ) < eps , x[1] - (1.0+dt) ); + +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/fusion_algebra.cpp b/src/boost/libs/numeric/odeint/test/fusion_algebra.cpp new file mode 100644 index 000000000..cc63fa921 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/fusion_algebra.cpp @@ -0,0 +1,184 @@ +/* + [auto_generated] + libs/numeric/odeint/test/fusion_algebra.cpp + + [begin_description] + This file tests the Fusion algebra. + [end_description] + + 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) + */ + + +#define BOOST_TEST_MODULE odeint_fusion_algebra + +// using fusion vectors as state types requires increased macro variables +#define BOOST_FUSION_INVOKE_MAX_ARITY 15 +#define BOOST_RESULT_OF_NUM_ARGS 15 + +#include <cmath> +#include <complex> +#include <utility> +#include <functional> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/fusion/container.hpp> + +#include <boost/numeric/odeint/algebra/default_operations.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra.hpp> + +namespace units = boost::units; +namespace si = boost::units::si; +namespace fusion = boost::fusion; + +using boost::numeric::odeint::default_operations; +using boost::numeric::odeint::fusion_algebra; + +typedef double value_type; +typedef units::quantity< si::time , value_type > time_type; +typedef units::quantity< si::length , value_type > length_type; +typedef units::quantity< si::velocity , value_type > velocity_type; +typedef units::quantity< si::acceleration , value_type > acceleration_type; +typedef fusion::vector< length_type , velocity_type > state_type; +typedef fusion::vector< velocity_type , acceleration_type > deriv_type; + +const time_type dt = 0.1 * si::second; + + +struct fusion_fixture +{ + fusion_fixture( void ) + : res( 0.0 * si::meter , 0.0 * si::meter_per_second ) , + x( 1.0 * si::meter , 1.0 * si::meter_per_second ) , + k1( 1.0 * si::meter_per_second , 1.0 * si::meter_per_second_squared ) , + k2( 2.0 * si::meter_per_second , 2.0 * si::meter_per_second_squared ) , + k3( 3.0 * si::meter_per_second , 3.0 * si::meter_per_second_squared ) , + k4( 4.0 * si::meter_per_second , 4.0 * si::meter_per_second_squared ) , + k5( 5.0 * si::meter_per_second , 5.0 * si::meter_per_second_squared ) , + k6( 6.0 * si::meter_per_second , 6.0 * si::meter_per_second_squared ) { } + + ~fusion_fixture( void ) + { + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( x ).value() , 1.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( x ).value() , 1.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( k1 ).value() , 1.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( k1 ).value() , 1.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( k2 ).value() , 2.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( k2 ).value() , 2.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( k3 ).value() , 3.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( k3 ).value() , 3.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( k4 ).value() , 4.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( k4 ).value() , 4.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( k5 ).value() , 5.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( k5 ).value() , 5.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( k6 ).value() , 6.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( k6 ).value() , 6.0 , 1.0e-10 ); + } + + state_type res , x; + deriv_type k1 , k2 , k3 , k4 , k5 , k6 ; +}; + + + +BOOST_AUTO_TEST_SUITE( fusion_algebra_test ) + +fusion_algebra algebra; + +BOOST_AUTO_TEST_CASE( for_each2 ) +{ + fusion_fixture f; + algebra.for_each2( f.res , f.k1 , + default_operations::scale_sum1< time_type >( dt ) ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 0.1 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 0.1 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE( for_each3 ) +{ + fusion_fixture f; + algebra.for_each3( f.res , f.x , f.k1 , + default_operations::scale_sum2< value_type , time_type >( 1.0 , dt ) ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 1.1 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 1.1 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE( for_each4 ) +{ + fusion_fixture f; + algebra.for_each4( f.res , f.x , f.k1 , f.k2 , + default_operations::scale_sum3< value_type , time_type , time_type >( 1.0 , dt , dt ) ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 1.3 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 1.3 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE( for_each5 ) +{ + fusion_fixture f; + algebra.for_each5( f.res , f.x , f.k1 , f.k2 , f.k3 , + default_operations::scale_sum4< value_type , time_type , time_type , time_type >( 1.0 , dt , dt , dt ) ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 1.6 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 1.6 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE( for_each6 ) +{ + fusion_fixture f; + algebra.for_each6( f.res , f.x , f.k1 , f.k2 , f.k3 , f.k4 , + default_operations::scale_sum5< value_type , time_type , time_type , time_type , time_type >( 1.0 , dt , dt , dt , dt ) ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 2.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 2.0 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE( for_each7 ) +{ + fusion_fixture f; + algebra.for_each7( f.res , f.x , f.k1 , f.k2 , f.k3 , f.k4 , f.k5 , + default_operations::scale_sum6< value_type , time_type , time_type , time_type , time_type , time_type >( 1.0 , dt , dt , dt , dt , dt ) ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 2.5 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 2.5 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE( for_each8 ) +{ + fusion_fixture f; + algebra.for_each8( f.res , f.x , f.k1 , f.k2 , f.k3 , f.k4 , f.k5 , f.k6 , + default_operations::scale_sum7< value_type , time_type , time_type , time_type , time_type , time_type , time_type >( 1.0 , dt , dt , dt , dt , dt , dt ) ); + BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 3.1 , 1.0e-10 ); + BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 3.1 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE( for_each15 ) +{ + fusion_fixture f; + algebra.for_each15( f.res , f.x , f.k1 , f.k2 , f.k3 , f.k4 , f.k5 , f.k6 , f.k1 , f.k2 , f.k3 , f.k4 , f.k5 , f.k6 , f.k1 , + default_operations::scale_sum14< value_type , time_type , time_type , time_type , time_type , time_type , time_type , + time_type , time_type , time_type , time_type , time_type , time_type , time_type >( 1.0 , dt , dt , dt , dt , dt , dt , dt , dt , dt , dt , dt , dt , dt ) ); + //BOOST_CHECK_CLOSE( fusion::at_c< 0 >( f.res ).value() , 3.1 , 1.0e-10 ); + //BOOST_CHECK_CLOSE( fusion::at_c< 1 >( f.res ).value() , 3.1 , 1.0e-10 ); +} + + +BOOST_AUTO_TEST_CASE( norm_inf ) +{ + double nrm = algebra.norm_inf( fusion::make_vector( 1.0 , 2.0 , 3.0 ) ); + BOOST_CHECK_CLOSE( nrm , 3.0 , 1.0e-10 ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/generation.cpp b/src/boost/libs/numeric/odeint/test/generation.cpp new file mode 100644 index 000000000..6432692d7 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/generation.cpp @@ -0,0 +1,87 @@ +/* + [auto_generated] + libs/numeric/odeint/test/generation.cpp + + [begin_description] + This file tests the generation functions. + [end_description] + + Copyright 2011-2012 Karsten Ahnert + Copyright 2011-2012 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) + */ + + +#define BOOST_TEST_MODULE odeint_generation + +#include <vector> + +#include <boost/test/unit_test.hpp> +#include <boost/static_assert.hpp> +#include <boost/type_traits/is_same.hpp> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/numeric/odeint/stepper/generation.hpp> + +using namespace boost::numeric::odeint; + +template< class Stepper1 , class Stepper2 > +void check_stepper_type( const Stepper1 &s1 , const Stepper2 &s2 ) +{ + BOOST_STATIC_ASSERT(( boost::is_same< Stepper1 , Stepper2 >::value )); +} + +BOOST_AUTO_TEST_SUITE( generation_test ) + +typedef std::vector< double > state_type; + +typedef runge_kutta_cash_karp54< state_type > rk54_type; +typedef runge_kutta_cash_karp54_classic< state_type > rk54_classic_type; +typedef runge_kutta_dopri5< state_type > dopri5_type; +typedef runge_kutta_fehlberg78< state_type > fehlberg78_type; +typedef rosenbrock4< double > rosenbrock4_type; + + +BOOST_AUTO_TEST_CASE( test_generation_dopri5 ) +{ + check_stepper_type( make_controlled( 1.0e-6 , 1.0e-10 , dopri5_type() ) , controlled_runge_kutta< dopri5_type >() ); + check_stepper_type( make_controlled< dopri5_type >( 1.0e-6 , 1.0e-10 ) , controlled_runge_kutta< dopri5_type >() ); + + check_stepper_type( make_dense_output( 1.0e-6 , 1.0e-10 , dopri5_type() ) , dense_output_runge_kutta< controlled_runge_kutta< dopri5_type > >() ); + check_stepper_type( make_dense_output< dopri5_type >( 1.0e-6 , 1.0e-10 ) , dense_output_runge_kutta< controlled_runge_kutta< dopri5_type > >() ); +} + +BOOST_AUTO_TEST_CASE( test_generation_cash_karp54 ) +{ + check_stepper_type( make_controlled( 1.0e-6 , 1.0e-10 , rk54_type() ) , controlled_runge_kutta< rk54_type >() ); + check_stepper_type( make_controlled< rk54_type >( 1.0e-6 , 1.0e-10 ) , controlled_runge_kutta< rk54_type >() ); +} + +BOOST_AUTO_TEST_CASE( test_generation_cash_karp54_classic ) +{ + check_stepper_type( make_controlled( 1.0e-6 , 1.0e-10 , rk54_classic_type() ) , controlled_runge_kutta< rk54_classic_type >() ); + check_stepper_type( make_controlled< rk54_classic_type >( 1.0e-6 , 1.0e-10 ) , controlled_runge_kutta< rk54_classic_type >() ); +} + + +BOOST_AUTO_TEST_CASE( test_generation_fehlberg78 ) +{ + check_stepper_type( make_controlled( 1.0e-6 , 1.0e-10 , fehlberg78_type() ) , controlled_runge_kutta< fehlberg78_type >() ); + check_stepper_type( make_controlled< fehlberg78_type >( 1.0e-6 , 1.0e-10 ) , controlled_runge_kutta< fehlberg78_type >() ); +} + + +BOOST_AUTO_TEST_CASE( test_generation_rosenbrock4 ) +{ + check_stepper_type( make_controlled( 1.0e-6 , 1.0e-10 , rosenbrock4_type() ) , rosenbrock4_controller< rosenbrock4_type >() ); + check_stepper_type( make_controlled< rosenbrock4_type >( 1.0e-6 , 1.0e-10 ) , rosenbrock4_controller< rosenbrock4_type >() ); + + check_stepper_type( make_dense_output( 1.0e-6 , 1.0e-10 , rosenbrock4_type() ) , rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4_type > >() ); + check_stepper_type( make_dense_output< rosenbrock4_type >( 1.0e-6 , 1.0e-10 ) , rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4_type > >() ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/generic_error_stepper.cpp b/src/boost/libs/numeric/odeint/test/generic_error_stepper.cpp new file mode 100644 index 000000000..0b18da89b --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/generic_error_stepper.cpp @@ -0,0 +1,111 @@ +/* + [auto_generated] + libs/numeric/odeint/test/generic_error_stepper.cpp + + [begin_description] + This file tests the generic error stepper. + [end_description] + + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) + */ + + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_generic_error_stepper + +#include <iostream> +#include <utility> + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/explicit_error_generic_rk.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.hpp> + +#include <boost/array.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +namespace fusion = boost::fusion; + +typedef double value_type; +typedef boost::array< value_type , 2 > state_type; + +void sys( const state_type &x , state_type &dxdt , const value_type &t ) +{ + dxdt[ 0 ] = x[ 0 ] + 2 * x[ 1 ]; + dxdt[ 1 ] = x[ 1 ]; +} + +typedef explicit_error_generic_rk< 6 , 5 , 4 , 5 , state_type> error_rk_generic_type; + +const boost::array< double , 1 > a1 = {{ 0.2 }}; +const boost::array< double , 2 > a2 = {{ 3.0/40.0 , 9.0/40 }}; +const boost::array< double , 3 > a3 = {{ 0.3 , -0.9 , 1.2 }}; +const boost::array< double , 4 > a4 = {{ -11.0/54.0 , 2.5 , -70.0/27.0 , 35.0/27.0 }}; +const boost::array< double , 5 > a5 = {{ 1631.0/55296.0 , 175.0/512.0 , 575.0/13824.0 , 44275.0/110592.0 , 253.0/4096.0 }}; + +const error_rk_generic_type::coef_a_type a = fusion::make_vector( a1 , a2 , a3 , a4 , a5 ); +const error_rk_generic_type::coef_b_type b = {{ 37.0/378.0 , 0.0 , 250.0/621.0 , 125.0/594.0 , 0.0 , 512.0/1771.0 }}; +const error_rk_generic_type::coef_b_type b2 = {{ b[0]-2825.0/27648.0 , b[1]-0.0 , b[2]-18575.0/48384.0 , b[3]-13525.0/55296.0 , b[4]-277.0/14336.0 , b[5]-0.25 }}; +const error_rk_generic_type::coef_c_type c = {{ 0.0 , 0.2 , 0.3 , 0.6 , 1.0 , 7.0/8 }}; + +typedef runge_kutta_cash_karp54< state_type > error_rk54_ck_generic_type; +typedef runge_kutta_cash_karp54_classic< state_type > rk54_ck_type; + +BOOST_AUTO_TEST_SUITE( generic_error_stepper_test ) + +BOOST_AUTO_TEST_CASE( test_generic_error_stepper ) +{ + //simultaneously test copying + error_rk_generic_type rk_generic_( a , b , b2 , c ); + error_rk_generic_type rk_generic = rk_generic_; + + error_rk54_ck_generic_type rk54_ck_generic_; + error_rk54_ck_generic_type rk54_ck_generic = rk54_ck_generic_; + + //std::cout << stepper; + + rk54_ck_type rk54_ck_; + rk54_ck_type rk54_ck = rk54_ck_; + + typedef error_rk_generic_type::state_type state_type; + typedef error_rk_generic_type::value_type stepper_value_type; + typedef error_rk_generic_type::deriv_type deriv_type; + typedef error_rk_generic_type::time_type time_type; + + state_type x = {{ 0.0 , 1.0 }}; + state_type y = x; + state_type z = x; + state_type x_err , y_err , z_err; + + rk_generic.do_step( sys , x , 0.0 , 0.1 , x_err ); + + rk54_ck_generic.do_step( sys , y , 0.0 , 0.1 , y_err); + + rk54_ck.do_step( sys , z , 0.0 , 0.1 , z_err ); + + BOOST_CHECK_NE( 0.0 , x[0] ); + BOOST_CHECK_NE( 1.0 , x[1] ); + BOOST_CHECK_NE( 0.0 , x_err[0] ); + BOOST_CHECK_NE( 0.0 , x_err[1] ); + // compare with analytic solution of above system + BOOST_CHECK_EQUAL( x[0] , y[0] ); + BOOST_CHECK_EQUAL( x[1] , y[1] ); + BOOST_CHECK_EQUAL( x[0] , z[0] ); + BOOST_CHECK_EQUAL( x[1] , z[1] ); + +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/generic_stepper.cpp b/src/boost/libs/numeric/odeint/test/generic_stepper.cpp new file mode 100644 index 000000000..e2c18272f --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/generic_stepper.cpp @@ -0,0 +1,104 @@ +/* + [auto_generated] + libs/numeric/odeint/test/generic_stepper.cpp + + [begin_description] + This file tests the generic stepper. + [end_description] + + Copyright 2011 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_generic_stepper + +#include <iostream> +#include <utility> + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/explicit_generic_rk.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp> + +#include <boost/array.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +namespace fusion = boost::fusion; + +typedef double value_type; +typedef boost::array< value_type , 2 > state_type; + +void sys( const state_type &x , state_type &dxdt , const value_type &t ) +{ + dxdt[ 0 ] = x[ 0 ] + 2 * x[ 1 ]; + dxdt[ 1 ] = x[ 1 ]; +} + +typedef explicit_generic_rk< 4 , 4 , state_type> rk_generic_type; +typedef runge_kutta4< state_type > rk4_generic_type; + +const boost::array< double , 1 > a1 = {{ 0.5 }}; +const boost::array< double , 2 > a2 = {{ 0.0 , 0.5 }}; +const boost::array< double , 3 > a3 = {{ 0.0 , 0.0 , 1.0 }}; + +const rk_generic_type::coef_a_type a = fusion::make_vector( a1 , a2 , a3 ); +const rk_generic_type::coef_b_type b = {{ 1.0/6 , 1.0/3 , 1.0/3 , 1.0/6 }}; +const rk_generic_type::coef_c_type c = {{ 0.0 , 0.5 , 0.5 , 1.0 }}; + +typedef runge_kutta4_classic< state_type > rk4_type; + +BOOST_AUTO_TEST_SUITE( generic_stepper_test ) + +BOOST_AUTO_TEST_CASE( test_generic_stepper ) +{ + //simultaneously test copying + rk_generic_type rk_generic_( a , b , c ); + rk_generic_type rk_generic = rk_generic_; + + rk4_generic_type rk4_generic_; + rk4_generic_type rk4_generic = rk4_generic_; + + //std::cout << stepper; + + rk4_type rk4_; + rk4_type rk4 = rk4_; + + typedef rk_generic_type::state_type state_type; + typedef rk_generic_type::value_type stepper_value_type; + typedef rk_generic_type::deriv_type deriv_type; + typedef rk_generic_type::time_type time_type; + + state_type x = {{ 0.0 , 1.0 }}; + state_type y = x; + state_type z = x; + + rk_generic.do_step( sys , x , 0.0 , 0.1 ); + + rk4_generic.do_step( sys , y , 0.0 , 0.1 ); + + rk4.do_step( sys , z , 0.0 , 0.1 ); + + BOOST_CHECK_NE( 0.0 , x[0] ); + BOOST_CHECK_NE( 1.0 , x[1] ); + // compare with analytic solution of above system + BOOST_CHECK_EQUAL( x[0] , y[0] ); + BOOST_CHECK_EQUAL( x[1] , y[1] ); + BOOST_CHECK_EQUAL( x[0] , z[0] ); + BOOST_CHECK_EQUAL( x[1] , z[1] ); + +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/implicit_euler.cpp b/src/boost/libs/numeric/odeint/test/implicit_euler.cpp new file mode 100644 index 000000000..575c896a8 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/implicit_euler.cpp @@ -0,0 +1,86 @@ +/* + [auto_generated] + libs/numeric/odeint/test/implicit_euler.cpp + + [begin_description] + This file tests the implicit Euler stepper. + [end_description] + + Copyright 2010-2011 Mario Mulansky + Copyright 2010-2012 Karsten Ahnert + + 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) + */ + + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_implicit_euler + +#include <boost/test/unit_test.hpp> + +#include <utility> +#include <iostream> + +#include <boost/numeric/odeint/stepper/implicit_euler.hpp> +//#include <boost/numeric/odeint/util/ublas_resize.hpp> + +#include <boost/numeric/ublas/vector.hpp> +#include <boost/numeric/ublas/matrix.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; +typedef boost::numeric::ublas::vector< value_type > state_type; +typedef boost::numeric::ublas::matrix< value_type > matrix_type; + +/* use functors, because functions don't work with msvc 10, I guess this is a bug */ +struct sys +{ + void operator()( const state_type &x , state_type &dxdt , const value_type t ) const + { + dxdt( 0 ) = x( 0 ) + 2 * x( 1 ); + dxdt( 1 ) = x( 1 ); + } +}; + +struct jacobi +{ + void operator()( const state_type &x , matrix_type &jacobi , const value_type t ) const + { + jacobi( 0 , 0 ) = 1; + jacobi( 0 , 1 ) = 2; + jacobi( 1 , 0 ) = 0; + jacobi( 1 , 1 ) = 1; + } +}; + +BOOST_AUTO_TEST_SUITE( implicit_euler_test ) + +BOOST_AUTO_TEST_CASE( test_euler ) +{ + implicit_euler< value_type > stepper; + state_type x( 2 ); + x(0) = 0.0; x(1) = 1.0; + + value_type eps = 1E-12; + + /* make_pair doesn't work with function pointers on msvc 10 */ + stepper.do_step( std::make_pair( sys() , jacobi() ) , x , 0.0 , 0.1 ); + + using std::abs; + + // compare with analytic solution of above system + BOOST_CHECK_MESSAGE( abs( x(0) - 20.0/81.0 ) < eps , x(0) - 20.0/81.0 ); + BOOST_CHECK_MESSAGE( abs( x(1) - 10.0/9.0 ) < eps , x(0) - 10.0/9.0 ); + +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/integrate.cpp b/src/boost/libs/numeric/odeint/test/integrate.cpp new file mode 100644 index 000000000..07d4617fa --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/integrate.cpp @@ -0,0 +1,299 @@ +/* + [auto_generated] + libs/numeric/odeint/test/integrate.cpp + + [begin_description] + This file tests the integrate function and its variants. + [end_description] + + Copyright 2011-2012 Mario Mulansky + Copyright 2011-2012 Karsten Ahnert + + 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_integrate_functions + +#include <boost/type_traits.hpp> + +#include <vector> +#include <cmath> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/array.hpp> +#include <boost/ref.hpp> +#include <boost/iterator/counting_iterator.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +// nearly everything from odeint is used in these tests +#ifndef ODEINT_INTEGRATE_ITERATOR +#include <boost/numeric/odeint/integrate/integrate_const.hpp> +#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp> +#include <boost/numeric/odeint/integrate/integrate_times.hpp> +#include <boost/numeric/odeint/integrate/integrate_n_steps.hpp> +#else +#include <boost/numeric/odeint/iterator/integrate/integrate_const.hpp> +#include <boost/numeric/odeint/iterator/integrate/integrate_adaptive.hpp> +#include <boost/numeric/odeint/iterator/integrate/integrate_times.hpp> +#include <boost/numeric/odeint/iterator/integrate/integrate_n_steps.hpp> +#endif +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/stepper/modified_midpoint.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/runge_kutta_fehlberg78.hpp> +#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp> +#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp> + +#include <boost/numeric/odeint/stepper/adaptive_adams_bashforth_moulton.hpp> +#include <boost/numeric/odeint/stepper/controlled_adams_bashforth_moulton.hpp> + +#include <boost/numeric/odeint/util/detail/less_with_sign.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + + +typedef double value_type; +typedef std::vector< value_type > state_type; + +void lorenz( const state_type &x , state_type &dxdt , const value_type t ) +{ + //const value_type sigma( 10.0 ); + const value_type R( 28.0 ); + const value_type b( value_type( 8.0 ) / value_type( 3.0 ) ); + + // first component trivial + dxdt[0] = 1.0; //sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; +} + +struct push_back_time +{ + std::vector< double >& m_times; + + state_type& m_x; + + push_back_time( std::vector< double > × , state_type &x ) + : m_times( times ) , m_x( x ) { } + + void operator()( const state_type &x , double t ) + { + m_times.push_back( t ); + boost::numeric::odeint::copy( x , m_x ); + } +}; + +template< class Stepper > +struct perform_integrate_const_test +{ + void operator()( const value_type t_end , const value_type dt ) + { + // std::cout << "Testing integrate_const with " << typeid( Stepper ).name() << std::endl; + + state_type x( 3 , 10.0 ) , x_end( 3 ); + + std::vector< value_type > times; + + size_t steps = integrate_const( Stepper() , lorenz , x , 0.0 , t_end , + dt , push_back_time( times , x_end ) ); + + std::cout.precision(16); + std::cout << t_end << " (" << dt << "), " << steps << " , " << times.size() << " , " << 10.0+dt*steps << "=" << x_end[0] << std::endl; + + std::cout << static_cast<int>(floor(t_end/dt)) << " , " << t_end/dt << std::endl; + + BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , static_cast<int>(floor(t_end/dt))+1 ); + + for( size_t i=0 ; i<times.size() ; ++i ) + { + //std::cout << i << " , " << times[i] << " , " << static_cast< value_type >(i)*dt << std::endl; + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL( times[i] - static_cast< value_type >(i)*dt , (i+1) * 2E-16 ); + } + + // check first, trivial, component + BOOST_CHECK_SMALL( (10.0 + times[times.size()-1]) - x_end[0] , 1E-6 ); // precision of steppers: 1E-6 + //BOOST_CHECK_EQUAL( x[1] , x_end[1] ); + //BOOST_CHECK_EQUAL( x[2] , x_end[2] ); + } +}; + +template< class Stepper > +struct perform_integrate_adaptive_test +{ + void operator()( const value_type t_end = 10.0 , const value_type dt = 0.03 ) + { + // std::cout << "Testing integrate_adaptive with " << typeid( Stepper ).name() << std::endl; + + state_type x( 3 , 10.0 ) , x_end( 3 ); + + std::vector< value_type > times; + + size_t steps = integrate_adaptive( Stepper() , lorenz , x , 0.0 , t_end , + dt , push_back_time( times , x_end ) ); + + // std::cout << t_end << " , " << steps << " , " << times.size() << " , " << dt << " , " << 10.0+t_end << "=" << x_end[0] << std::endl; + + BOOST_CHECK_EQUAL( times.size() , steps+1 ); + + BOOST_CHECK_SMALL( times[0] - 0.0 , 2E-16 ); + BOOST_CHECK_SMALL( times[times.size()-1] - t_end , times.size() * 2E-16 ); + + // check first, trivial, component + BOOST_CHECK_SMALL( (10.0 + t_end) - x_end[0] , 1E-6 ); // precision of steppers: 1E-6 +// BOOST_CHECK_EQUAL( x[1] , x_end[1] ); +// BOOST_CHECK_EQUAL( x[2] , x_end[2] ); + } +}; + + +template< class Stepper > +struct perform_integrate_times_test +{ + void operator()( const int n = 10 , const int dn=1 , const value_type dt = 0.03 ) + { + // std::cout << "Testing integrate_times with " << typeid( Stepper ).name() << std::endl; + + state_type x( 3 ) , x_end( 3 ); + x[0] = x[1] = x[2] = 10.0; + + std::vector< double > times; + + std::vector< double > obs_times( abs(n) ); + for( int i=0 ; boost::numeric::odeint::detail::less_with_sign( static_cast<double>(i) , + static_cast<double>(obs_times.size()) , + dt ) ; i+=dn ) + { + obs_times[i] = i; + } + // simple stepper + integrate_times( Stepper() , lorenz , x , obs_times.begin() , obs_times.end() , + dt , push_back_time( times , x_end ) ); + + BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , abs(n) ); + + for( size_t i=0 ; i<times.size() ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + + // check first, trivial, component + BOOST_CHECK_SMALL( (10.0 + 1.0*times[times.size()-1]) - x_end[0] , 1E-6 ); // precision of steppers: 1E-6 +// BOOST_CHECK_EQUAL( x[1] , x_end[1] ); +// BOOST_CHECK_EQUAL( x[2] , x_end[2] ); + } +}; + +template< class Stepper > +struct perform_integrate_n_steps_test +{ + void operator()( const int n = 200 , const value_type dt = 0.01 ) + { + // std::cout << "Testing integrate_n_steps with " << typeid( Stepper ).name() << ". "; + // std::cout << "dt=" << dt << std::endl; + + state_type x( 3 ) , x_end( 3 ); + x[0] = x[1] = x[2] = 10.0; + + std::vector< double > times; + + // simple stepper + value_type end_time = integrate_n_steps( Stepper() , lorenz , x , 0.0 , dt , n , push_back_time( times , x_end ) ); + + BOOST_CHECK_SMALL( end_time - n*dt , 2E-16 ); + BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , n+1 ); + + for( size_t i=0 ; i<times.size() ; ++i ) + { + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL(times[i] - static_cast< value_type >(i) * dt, 2E-16); + } + // check first, trivial, component + BOOST_CHECK_SMALL( (10.0 + end_time) - x_end[0] , 1E-6 ); // precision of steppers: 1E-6 +// BOOST_CHECK_EQUAL( x[1] , x_end[1] ); +// BOOST_CHECK_EQUAL( x[2] , x_end[2] ); + + } +}; + + + +class stepper_methods : public mpl::vector< + euler< state_type > , + modified_midpoint< state_type > , + runge_kutta4< state_type > , + runge_kutta_cash_karp54< state_type > , + runge_kutta_dopri5< state_type > , + runge_kutta_fehlberg78< state_type > , + controlled_runge_kutta< runge_kutta_cash_karp54< state_type > > , + controlled_runge_kutta< runge_kutta_dopri5< state_type > > , + controlled_runge_kutta< runge_kutta_fehlberg78< state_type > > , + bulirsch_stoer< state_type > , + dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > >, + adaptive_adams_bashforth_moulton<3, state_type>, + adaptive_adams_bashforth_moulton<5, state_type>, + adaptive_adams_bashforth_moulton<7, state_type>, + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<3, state_type> >, + controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<5, state_type> > + //bulirsch_stoer_dense_out< state_type > +> { }; + + + +BOOST_AUTO_TEST_SUITE( integrate_test ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_const_test_case , Stepper, stepper_methods ) +{ + perform_integrate_const_test< Stepper > tester; + tester( 1.005 , 0.01 ); + tester( 1.0 , 0.01 ); + tester( 1.1 , 0.01 ); + tester( -1.005 , -0.01 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_adaptive_test_case , Stepper, stepper_methods ) +{ + perform_integrate_adaptive_test< Stepper > tester; + tester( 1.005 , 0.01 ); + tester( 1.0 , 0.01 ); + tester( 1.1 , 0.01 ); + tester( -1.005 , -0.01 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_times_test_case , Stepper, stepper_methods ) +{ + perform_integrate_times_test< Stepper > tester; + tester(); + //tester( -10 , -0.01 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_n_steps_test_case , Stepper, stepper_methods ) +{ + if(!boost::is_same<Stepper, controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<3, state_type> > >::value && + !boost::is_same<Stepper, controlled_adams_bashforth_moulton<adaptive_adams_bashforth_moulton<5, state_type> > >::value) + { + perform_integrate_n_steps_test< Stepper > tester; + tester(); + tester( 200 , 0.01 ); + tester( 200 , 0.01 ); + tester( 200 , 0.01 ); + tester( 200 , -0.01 ); + } +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/integrate_implicit.cpp b/src/boost/libs/numeric/odeint/test/integrate_implicit.cpp new file mode 100644 index 000000000..4bff200ae --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/integrate_implicit.cpp @@ -0,0 +1,233 @@ +/* + [auto_generated] + libs/numeric/odeint/test/integrate_implicit.cpp + + [begin_description] + This file tests the integrate function and its variants with the implicit steppers. + [end_description] + + Copyright 2011 Mario Mulansky + Copyright 2011-2013 Karsten Ahnert + + 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_integrate_functions_implicit + +#include <vector> +#include <cmath> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/array.hpp> +#include <boost/ref.hpp> +#include <boost/iterator/counting_iterator.hpp> +#include <boost/numeric/ublas/vector.hpp> +#include <boost/numeric/ublas/matrix.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#ifndef ODEINT_INTEGRATE_ITERATOR +#include <boost/numeric/odeint/integrate/integrate_const.hpp> +#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp> +#include <boost/numeric/odeint/integrate/integrate_times.hpp> +#include <boost/numeric/odeint/integrate/integrate_n_steps.hpp> +#else +#include <boost/numeric/odeint/iterator/integrate/integrate_const.hpp> +#include <boost/numeric/odeint/iterator/integrate/integrate_adaptive.hpp> +#include <boost/numeric/odeint/iterator/integrate/integrate_times.hpp> +#include <boost/numeric/odeint/iterator/integrate/integrate_n_steps.hpp> +#endif +#include <boost/numeric/odeint/stepper/rosenbrock4.hpp> +#include <boost/numeric/odeint/stepper/rosenbrock4_controller.hpp> +#include <boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; +namespace ublas = boost::numeric::ublas; + +typedef double value_type; +typedef ublas::vector< value_type > state_type; +typedef boost::numeric::ublas::matrix< value_type > matrix_type; + +struct sys +{ + void operator()( const state_type &x , state_type &dxdt , const value_type &t ) const + { + dxdt( 0 ) = x( 0 ) + 2 * x( 1 ); + dxdt( 1 ) = x( 1 ); + } +}; + +struct jacobi +{ + void operator()( const state_type &x , matrix_type &jacobi , const value_type &t , state_type &dfdt ) const + { + jacobi( 0 , 0 ) = 1; + jacobi( 0 , 1 ) = 2; + jacobi( 1 , 0 ) = 0; + jacobi( 1 , 1 ) = 1; + dfdt( 0 ) = 0.0; + dfdt( 1 ) = 0.0; + } +}; + +struct push_back_time +{ + std::vector< double >& m_times; + + push_back_time( std::vector< double > × ) + : m_times( times ) { } + + void operator()( const state_type &x , double t ) + { + m_times.push_back( t ); + } +}; + +template< class Stepper > +struct perform_integrate_const_test +{ + void operator()( void ) + { + state_type x( 2 , 1.0 ); + const value_type dt = 0.03; + const value_type t_end = 10.0; + + std::vector< value_type > times; + + integrate_const( Stepper() , std::make_pair( sys() , jacobi() ) , x , 0.0 , t_end , + dt , push_back_time( times ) ); + + BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , static_cast<int>(std::floor(t_end/dt))+1 ); + + for( size_t i=0 ; i<times.size() ; ++i ) + { + //std::cout << i << std::endl; + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL( times[i] - static_cast< value_type >(i)*dt , (i+1) * 2.0e-16 ); + } + } +}; + +template< class Stepper > +struct perform_integrate_adaptive_test +{ + void operator()( void ) + { + state_type x( 2 , 1.0 ); + const value_type dt = 0.03; + const value_type t_end = 10.0; + + std::vector< value_type > times; + + size_t steps = integrate_adaptive( Stepper() , std::make_pair( sys() , jacobi() ) , x , 0.0 , t_end , + dt , push_back_time( times ) ); + + BOOST_CHECK_EQUAL( times.size() , steps+1 ); + + BOOST_CHECK_SMALL( times[0] - 0.0 , 2.0e-16 ); + BOOST_CHECK_SMALL( times[times.size()-1] - t_end , times.size() * 3.0e-16 ); + } +}; + + +template< class Stepper > +struct perform_integrate_times_test +{ + void operator()( void ) + { + state_type x( 2 , 1.0 ); + + const value_type dt = 0.03; + + std::vector< double > times; + + // simple stepper + integrate_times( Stepper() , std::make_pair( sys() , jacobi() ) , x , + boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) , + dt , push_back_time( times ) ); + + BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , 10 ); + + for( size_t i=0 ; i<times.size() ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + } +}; + +template< class Stepper > +struct perform_integrate_n_steps_test +{ + void operator()( void ) + { + state_type x( 2 , 1.0 ); + + const value_type dt = 0.03; + const int n = 200; + + std::vector< double > times; + + // simple stepper + value_type end_time = integrate_n_steps( Stepper() , std::make_pair( sys() , jacobi() ) , x , 0.0 , dt , n , push_back_time( times ) ); + + BOOST_CHECK_SMALL( end_time - n*dt , 3.0e-16 ); + BOOST_CHECK_EQUAL( static_cast<int>(times.size()) , n+1 ); + + for( size_t i=0 ; i<times.size() ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL( times[i] - static_cast< value_type >(i)*dt , (i+1) * 2.0e-16 ); + } +}; + + + +class stepper_methods : public mpl::vector< + rosenbrock4< value_type > , + rosenbrock4_controller< rosenbrock4< value_type > > , + rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4< value_type > > > +> { }; + + + +BOOST_AUTO_TEST_SUITE( integrate_test ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_const_test_case , Stepper, stepper_methods ) +{ + perform_integrate_const_test< Stepper > tester; + tester(); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_adaptive_test_case , Stepper, stepper_methods ) +{ + perform_integrate_adaptive_test< Stepper > tester; + tester(); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_times_test_case , Stepper, stepper_methods ) +{ + perform_integrate_times_test< Stepper > tester; + tester(); +} + + +class simple_stepper_methods : public mpl::vector< + rosenbrock4< value_type > +> { }; + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_n_steps_test_case , Stepper, simple_stepper_methods ) +{ + perform_integrate_n_steps_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/integrate_overflow.cpp b/src/boost/libs/numeric/odeint/test/integrate_overflow.cpp new file mode 100644 index 000000000..0dba4046a --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/integrate_overflow.cpp @@ -0,0 +1,200 @@ +/* + [auto_generated] + libs/numeric/odeint/test/integrate_overflow.cpp + + [begin_description] + This file tests the overflow exception of the integrate functions. + [end_description] + + Copyright 2015 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) + */ + + +#define BOOST_TEST_MODULE odeint_integrate_overflow + +#include <boost/test/unit_test.hpp> + +#include <utility> +#include <iostream> +#include <vector> + + +#include <vector> +#include <cmath> +#include <iostream> + +#include <boost/iterator/counting_iterator.hpp> + +#include <boost/numeric/odeint.hpp> + + +using namespace boost::numeric::odeint; + + +typedef double value_type; +typedef std::vector< value_type > state_type; + +// the famous lorenz system as usual +void lorenz( const state_type &x , state_type &dxdt , const value_type t ) +{ + //const value_type sigma( 10.0 ); + const value_type R( 28.0 ); + const value_type b( value_type( 8.0 ) / value_type( 3.0 ) ); + + // first component trivial + dxdt[0] = 1.0; //sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; +} + +struct push_back_time +{ + std::vector< double >& m_times; + + push_back_time( std::vector< double > × ) + : m_times( times ) { } + + void operator()( const state_type &x , double t ) + { + m_times.push_back( t ); + } +}; + +typedef runge_kutta_dopri5<state_type> stepper_type; +typedef runge_kutta_cash_karp54<state_type> cash_karp_type; + + +BOOST_AUTO_TEST_SUITE( integrate_overflow ) + +BOOST_AUTO_TEST_CASE( test_integrate_const ) +{ + state_type x(3, 5.0); + std::vector<double> times; + + // check the function signatures with normal stepper + integrate_const(stepper_type(), lorenz, x, 0.0, 10.0, 1.0); + integrate_const(stepper_type(), lorenz, x, 0.0, 10.0, 1.0, null_observer()); + // no exceptions expected for normal steppers + integrate_const(stepper_type(), lorenz, x, 0.0, 10.0, 1.0, null_observer(), max_step_checker(10)); + + + // check exceptions for controlled stepper + integrate_const(make_controlled<stepper_type>(1E-5, 1E-5), lorenz, x, 0.0, 10.0, 1.0); + // very small error terms -> standard overflow threshold of 500 should fire an exception + BOOST_CHECK_THROW(integrate_const(make_controlled<stepper_type>(1E-15, 1E-15), lorenz, x, + 0.0, 10.0, 1.0, push_back_time(times), max_step_checker()), + std::runtime_error); + // small threshold of 10 -> larger error still gives an exception + BOOST_CHECK_THROW(integrate_const(make_controlled<stepper_type>(1E-5, 1E-5), lorenz, x, + 0.0, 10.0, 1.0, push_back_time(times), max_step_checker(10)), + std::runtime_error); + + // check exceptions for dense output stepper + integrate_const(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, 0.0, 10.0, 1.0); + integrate_const(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, 0.0, 10.0, 1.0); + // very small error terms -> standard overflow threshold of 500 should fire an exception + BOOST_CHECK_THROW(integrate_const(make_dense_output<stepper_type>(1E-15, 1E-15), lorenz, x, + 0.0, 10.0, 1.0, push_back_time(times), max_step_checker()), + std::runtime_error); + // small threshold of 10 -> larger error still gives an exception + BOOST_CHECK_THROW(integrate_const(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, + 0.0, 10.0, 1.0, push_back_time(times), max_step_checker(10)), + std::runtime_error); +} + +BOOST_AUTO_TEST_CASE( test_integrate_n_steps ) +{ + state_type x(3, 5.0); + std::vector<double> times; + + // check the function signatures with normal stepper + integrate_n_steps(stepper_type(), lorenz, x, 0.0, 1.0, 10); + integrate_n_steps(stepper_type(), lorenz, x, 0.0, 1.0, 10, null_observer()); + // no exceptions expected for normal steppers + integrate_n_steps(stepper_type(), lorenz, x, 0.0, 1.0, 10, null_observer(), max_step_checker(10)); + + + // check exceptions for controlled stepper + integrate_n_steps(make_controlled<stepper_type>(1E-5, 1E-5), lorenz, x, 0.0, 1.0, 10); + // very small error terms -> standard overflow threshold of 500 should fire an exception + BOOST_CHECK_THROW(integrate_n_steps(make_controlled<stepper_type>(1E-15, 1E-15), lorenz, x, + 0.0, 1.0, 10, push_back_time(times), max_step_checker()), + std::runtime_error); + // small threshold of 10 -> larger error still gives an exception + BOOST_CHECK_THROW(integrate_n_steps(make_controlled<stepper_type>(1E-5, 1E-5), lorenz, x, + 0.0, 1.0, 10, push_back_time(times), max_step_checker(10)), + std::runtime_error); + + // check exceptions for dense output stepper + integrate_n_steps(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, 0.0, 1.0, 10); + integrate_n_steps(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, 0.0, 1.0, 10, push_back_time(times)); + // very small error terms -> standard overflow threshold of 500 should fire an exception + BOOST_CHECK_THROW(integrate_n_steps(make_dense_output<stepper_type>(1E-15, 1E-15), lorenz, x, + 0.0, 1.0, 10, push_back_time(times), max_step_checker()), + std::runtime_error); + // small threshold of 10 -> larger error still gives an exception + BOOST_CHECK_THROW(integrate_n_steps(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, + 0.0, 1.0, 10, push_back_time(times), max_step_checker(10)), + std::runtime_error); +} + +BOOST_AUTO_TEST_CASE( test_integrate_times ) +{ + state_type x(3, 5.0); + std::vector<double> times; + boost::counting_iterator<int> t0(0); + boost::counting_iterator<int> t1(10); + + // check the function signatures with normal stepper + integrate_times(stepper_type(), lorenz, x, t0, t1, 1.0 , push_back_time(times)); + // no exceptions expected for big enough step size + integrate_times(stepper_type(), lorenz, x, t0, t1, 1.0 , push_back_time(times), max_step_checker(10)); + // if dt*max_steps < observer time difference we expect an exception + BOOST_CHECK_THROW(integrate_times(stepper_type(), lorenz, x, t0, t1, 0.01, push_back_time(times), + max_step_checker(10)), + std::runtime_error); + + // check exceptions for controlled stepper + // no exception if no checker is provided + integrate_times(make_controlled<stepper_type>(1E-5, 1E-5), lorenz, x, t0, t1, 1.0 , push_back_time(times)); + // very small error terms -> standard overflow threshold of 500 should fire an exception + BOOST_CHECK_THROW(integrate_times(make_controlled<stepper_type>(1E-15, 1E-15), lorenz, x, + t0, t1, 1.0 , push_back_time(times), max_step_checker()), + std::runtime_error); + + // small threshold of 10 -> larger error still gives an exception + BOOST_CHECK_THROW(integrate_times(make_controlled<stepper_type>(1E-5, 1E-5), lorenz, x, + t0, t1, 1.0 , push_back_time(times), max_step_checker(10)), + std::runtime_error); + + // check cash karp controlled stepper + // no exception if no checker is provided + integrate_times(make_controlled<cash_karp_type>(1E-5, 1E-5), lorenz, x, t0, t1, 1.0 , push_back_time(times)); + // very small error terms -> standard overflow threshold of 500 should fire an exception + BOOST_CHECK_THROW(integrate_times(make_controlled<cash_karp_type>(1E-15, 1E-15), lorenz, x, + t0, t1, 1.0 , push_back_time(times), max_step_checker()), + std::runtime_error); + + // small threshold of 10 -> larger error still gives an exception + BOOST_CHECK_THROW(integrate_times(make_controlled<cash_karp_type>(1E-5, 1E-5), lorenz, x, + t0, t1, 1.0 , push_back_time(times), max_step_checker(10)), + std::runtime_error); + + // check exceptions for dense output stepper + integrate_times(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, t0, t1, 1.0 , + push_back_time(times)); + // very small error terms -> standard overflow threshold of 500 should fire an exception + BOOST_CHECK_THROW(integrate_times(make_dense_output<stepper_type>(1E-15, 1E-15), lorenz, x, + t0, t1, 1.0 , push_back_time(times), max_step_checker()), + std::runtime_error); + // small threshold of 10 -> larger error still gives an exception + BOOST_CHECK_THROW(integrate_times(make_dense_output<stepper_type>(1E-5, 1E-5), lorenz, x, + t0, t1, 1.0 , push_back_time(times), max_step_checker(10)), + std::runtime_error); +} + +BOOST_AUTO_TEST_SUITE_END()
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/test/integrate_stepper_refs.cpp b/src/boost/libs/numeric/odeint/test/integrate_stepper_refs.cpp new file mode 100644 index 000000000..5d6d34c94 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/integrate_stepper_refs.cpp @@ -0,0 +1,271 @@ +/* + [auto_generated] + libs/numeric/odeint/test/integrate_stepper_refs.cpp + + [begin_description] + Tests the integrate functions with boost::ref( stepper) + [end_description] + + Copyright 2009-2013 Karsten Ahnert + Copyright 2009-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_integrate_stepper_refs + +#include <vector> +#include <cmath> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/noncopyable.hpp> +#include <boost/test/unit_test.hpp> +#include <boost/iterator/counting_iterator.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint/integrate/integrate_const.hpp> +#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp> +#include <boost/numeric/odeint/integrate/integrate_times.hpp> +#include <boost/numeric/odeint/integrate/integrate_n_steps.hpp> +#include <boost/numeric/odeint/stepper/controlled_step_result.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; +typedef std::vector< value_type > state_type; + +// minimal non-copyable basic stepper +template< +class State +> +class simple_stepper_nc : boost::noncopyable +{ +public : + typedef State state_type; + typedef double value_type; + typedef state_type deriv_type; + typedef double time_type; + typedef size_t order_type; + typedef stepper_tag stepper_category; + + template< class System > + void do_step( System system , state_type &in , time_type t , time_type dt ) + { + // empty + + } +}; + +// minimal non-copyable controlled stepper +template< +class State +> +class controlled_stepper_nc : boost::noncopyable +{ +public : + typedef State state_type; + typedef double value_type; + typedef state_type deriv_type; + typedef double time_type; + typedef size_t order_type; + typedef controlled_stepper_tag stepper_category; + + template< class System > + controlled_step_result try_step( System system , state_type &in , time_type &t , time_type &dt ) + { + std::cout << "dense out stepper: " << t << " , " << dt << std::endl; + t += dt; + return success; + } +}; + +// minimal non-copyable dense_output stepper +template< +class State +> +class dense_out_stepper_nc : boost::noncopyable +{ +public : + typedef State state_type; + typedef double value_type; + typedef state_type deriv_type; + typedef double time_type; + typedef size_t order_type; + typedef dense_output_stepper_tag stepper_category; + + void initialize( const state_type &x0 , const time_type t0 , const time_type dt0 ) + { + m_x = x0; + m_t = t0; + m_dt = dt0; + std::cout << "initialize: " << m_t << " , " << m_dt << std::endl; + } + + template< class System > + void do_step( System system ) + { + std::cout << "dense out stepper: " << m_t << " , " << m_dt << std::endl; + m_t += m_dt; + } + + void calc_state( const time_type t_inter , state_type &x ) + { + x = m_x; + } + + const state_type& current_state() const + { return m_x; } + + time_type current_time() const + { return m_t; } + + time_type current_time_step() const + { return m_dt; } + + +private : + time_type m_t; + time_type m_dt; + state_type m_x; +}; + + +void lorenz( const state_type &x , state_type &dxdt , const value_type t ) +{ + //const value_type sigma( 10.0 ); + const value_type R( 28.0 ); + const value_type b( value_type( 8.0 ) / value_type( 3.0 ) ); + + // first component trivial + dxdt[0] = 1.0; //sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; +} + +struct push_back_time +{ + std::vector< double >& m_times; + + state_type& m_x; + + push_back_time( std::vector< double > × , state_type &x ) + : m_times( times ) , m_x( x ) { } + + void operator()( const state_type &x , double t ) + { + m_times.push_back( t ); + boost::numeric::odeint::copy( x , m_x ); + } +}; + +template< class Stepper > +struct perform_integrate_const_test +{ + void operator()() + { + state_type x( 3 , 10.0 ) , x_end( 3 ); + + std::vector< value_type > times; + + Stepper stepper; + + integrate_const( boost::ref(stepper) , lorenz , x , 0.0 , 1.0 , + 0.1, push_back_time( times , x_end ) ); + } +}; + +template< class Stepper > +struct perform_integrate_adaptive_test +{ + void operator()() + { + state_type x( 3 , 10.0 ) , x_end( 3 ); + + std::vector< value_type > times; + + Stepper stepper; + + integrate_adaptive( boost::ref(stepper) , lorenz , x , 0.0 , 1.0 , + 0.1, push_back_time( times , x_end ) ); + } +}; + +template< class Stepper > +struct perform_integrate_n_steps_test +{ + void operator()() + { + state_type x( 3 , 10.0 ) , x_end( 3 ); + + std::vector< value_type > times; + + Stepper stepper; + + integrate_n_steps( boost::ref(stepper) , lorenz , x , 0.0 , 0.1 , + 10 , push_back_time( times , x_end ) ); + } +}; + +template< class Stepper > +struct perform_integrate_times_test +{ + void operator()() + { + state_type x( 3 , 10.0 ) , x_end( 3 ); + + std::vector< value_type > times; + + Stepper stepper; + + integrate_times( boost::ref(stepper) , lorenz , x , + boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) , 0.1 , + push_back_time( times , x_end ) ); + } +}; + +class stepper_methods : public mpl::vector< + simple_stepper_nc< state_type > , + controlled_stepper_nc< state_type >, + dense_out_stepper_nc< state_type > > { }; + +BOOST_AUTO_TEST_SUITE( integrate_stepper_refs ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_const_test_case , Stepper, stepper_methods ) +{ + std::cout << "integrate const" << std::endl; + perform_integrate_const_test< Stepper > tester; + tester(); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_adaptive_test_case , Stepper, stepper_methods ) +{ + std::cout << "integrate adaptive" << std::endl; + perform_integrate_adaptive_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_n_steps_test_case , Stepper, stepper_methods ) +{ + std::cout << "integrate n steps" << std::endl; + perform_integrate_n_steps_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_times_test_case , Stepper, stepper_methods ) +{ + std::cout << "integrate times" << std::endl; + perform_integrate_times_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/integrate_times.cpp b/src/boost/libs/numeric/odeint/test/integrate_times.cpp new file mode 100644 index 000000000..2837f09e3 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/integrate_times.cpp @@ -0,0 +1,247 @@ +/* + [auto_generated] + libs/numeric/odeint/test/integrate_times.cpp + + [begin_description] + This file tests the integrate_times function and its variants. + [end_description] + + Copyright 2011-2012 Karsten Ahnert + Copyright 2011-2012 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) + */ + +#define BOOST_TEST_MODULE odeint_integrate_times + +#include <boost/test/unit_test.hpp> + +#include <utility> +#include <iostream> +#include <vector> + +#include <boost/ref.hpp> +#include <boost/iterator/counting_iterator.hpp> + +#ifndef ODEINT_INTEGRATE_ITERATOR +#include <boost/numeric/odeint/integrate/integrate_times.hpp> +#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp> +#else +#include <boost/numeric/odeint/iterator/integrate/integrate_times.hpp> +#include <boost/numeric/odeint/iterator/integrate/integrate_adaptive.hpp> +#endif +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp> +#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp> +#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; +typedef std::vector< value_type > state_type; + + +void lorenz( const state_type &x , state_type &dxdt , const value_type t ) +{ + BOOST_CHECK( t >= 0.0 ); + + const value_type sigma( 10.0 ); + const value_type R( 28.0 ); + const value_type b( value_type( 8.0 ) / value_type( 3.0 ) ); + + dxdt[0] = sigma * ( x[1] - x[0] ); + dxdt[1] = R * x[0] - x[1] - x[0] * x[2]; + dxdt[2] = -b * x[2] + x[0] * x[1]; +} + +struct push_back_time +{ + std::vector< double >& m_times; + + push_back_time( std::vector< double > × ) + : m_times( times ) { } + + void operator()( const state_type &x , double t ) + { + m_times.push_back( t ); + } +}; + +BOOST_AUTO_TEST_SUITE( integrate_times_test ) + +BOOST_AUTO_TEST_CASE( test_integrate_times ) +{ + + state_type x( 3 ); + x[0] = x[1] = x[2] = 10.0; + + const value_type dt = 0.03; + + std::vector< double > times; + + std::cout << "test rk4 stepper" << std::endl; + + // simple stepper + integrate_times( runge_kutta4< state_type >() , lorenz , x , boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + times.clear(); + + std::cout << "test dopri5 stepper" << std::endl; + + // controlled stepper + integrate_times( controlled_runge_kutta< runge_kutta_dopri5< state_type > >() , lorenz , x , + boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + times.clear(); + + std::cout << "test BS stepper" << std::endl; + + //another controlled stepper + integrate_times( bulirsch_stoer< state_type >() , lorenz , x , + boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + times.clear(); + + std::cout << "test dense_out stepper" << std::endl; + + // dense output stepper + integrate_times( dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > >() , + lorenz , x , + boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + + std::cout << "test BS_do stepper" << std::endl; + + integrate_times( bulirsch_stoer_dense_out< state_type >() , lorenz , x , + boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + +} + + +BOOST_AUTO_TEST_CASE( test_integrate_times_ranges ) +{ + + state_type x( 3 ); + x[0] = x[1] = x[2] = 10.0; + + const value_type dt = 0.03; + + std::vector< double > times; + + // simple stepper + integrate_times( runge_kutta4< state_type >() , lorenz , x , + std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + times.clear(); + + // controlled stepper + integrate_times( controlled_runge_kutta< runge_kutta_dopri5< state_type > >() , lorenz , x , + std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + times.clear(); + + //another controlled stepper + integrate_times( bulirsch_stoer< state_type >() , lorenz , x , + std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + times.clear(); + + + // dense output stepper + integrate_times( bulirsch_stoer_dense_out< state_type >() , lorenz , x , + std::make_pair( boost::counting_iterator<int>(0) , boost::counting_iterator<int>(10) ) , + dt , push_back_time( times ) ); + + for( int i=0 ; i<10 ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_EQUAL( times[i] , static_cast<double>(i) ); + +} + +BOOST_AUTO_TEST_CASE( test_integrate_times_overshoot ) +{ + state_type x( 3 ); + x[0] = x[1] = x[2] = 10.0; + double dt = -0.1; + + std::vector<double> times( 10 ); + for( int i=0 ; i<10 ; ++i ) + times[i] = 1.0-i*1.0/9.0; + + std::cout << "test rk4 stepper" << std::endl; + // simple stepper + std::vector<double> obs_times; + int steps = integrate_times( runge_kutta4< state_type >() , lorenz , x , + times.begin() , times.end() , + dt , push_back_time( obs_times ) ); +// different behavior for the iterator based integrate implementaton +#ifndef ODEINT_INTEGRATE_ITERATOR + BOOST_CHECK_EQUAL( steps , 18 ); // we really need 18 steps because dt and + // the difference of the observation times + // are so out of sync +#else + // iterator based implementation can only return the number of iteration steps + BOOST_CHECK_EQUAL( steps , 9 ); +#endif + for( int i=0 ; i<10 ; ++i ) + BOOST_CHECK_EQUAL( times[i] , obs_times[i] ); + + std::cout << "test rk_ck stepper" << std::endl; + // controlled stepper + obs_times.clear(); + integrate_times( controlled_runge_kutta< runge_kutta_cash_karp54< state_type > >() , lorenz , x , + times.begin() , times.end() , + dt , push_back_time( obs_times ) ); + for( int i=0 ; i<10 ; ++i ) + BOOST_CHECK_EQUAL( times[i] , obs_times[i] ); + + std::cout << "test dopri5 stepper" << std::endl; + // controlled stepper + obs_times.clear(); + integrate_times( dense_output_runge_kutta< controlled_runge_kutta< runge_kutta_dopri5< state_type > > >() , lorenz , x , + times.begin() , times.end() , + dt , push_back_time( obs_times ) ); + for( int i=0 ; i<10 ; ++i ) + BOOST_CHECK_EQUAL( times[i] , obs_times[i] ); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/integrators_symplectic.cpp b/src/boost/libs/numeric/odeint/test/integrators_symplectic.cpp new file mode 100644 index 000000000..2c2861950 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/integrators_symplectic.cpp @@ -0,0 +1,74 @@ +/* + [auto_generated] + libs/numeric/odeint/test/integrators_symplectic.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2009-2013 Karsten Ahnert + Copyright 2009-2013 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_iterators_symplectic + +#define BOOST_FUSION_INVOKE_MAX_ARITY 15 +#define BOOST_RESULT_OF_NUM_ARGS 15 +#define FUSION_MAX_VECTOR_SIZE 15 + +#include <cmath> + +#include <boost/test/unit_test.hpp> + +#ifndef ODEINT_INTEGRATE_ITERATOR +#include <boost/numeric/odeint/integrate/integrate_const.hpp> +#else +#include <boost/numeric/odeint/iterator/integrate/integrate_const.hpp> +#endif +#include <boost/numeric/odeint/stepper/symplectic_euler.hpp> +#include <boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan.hpp> +#include <boost/numeric/odeint/stepper/symplectic_rkn_sb3a_m4_mclachlan.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; +namespace fusion = boost::fusion; + +typedef std::vector<double> container_type; + +struct harm_osc { + void operator()( const container_type &q , container_type &dpdt ) + { + dpdt[0] = -q[0]; + } +}; + +class complete_steppers : public mpl::vector< + symplectic_euler< container_type > + , symplectic_rkn_sb3a_mclachlan< container_type > + , symplectic_rkn_sb3a_m4_mclachlan< container_type > + > {}; + +BOOST_AUTO_TEST_SUITE( symplectic_steppers_test ) + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_integrate_const , Stepper , complete_steppers ) +{ + container_type q( 1 , 1.0 ) , p( 1 , 0.0 ); + size_t steps = integrate_const( Stepper() , harm_osc() , + std::make_pair( boost::ref(q) , boost::ref(p) ) , + 0.0 , 1.0 , 0.1 ); + BOOST_CHECK( steps == 10 ); + BOOST_CHECK_CLOSE( q[0] , std::cos(1.0) , 100*std::pow( 0.1 , Stepper::order_value ) ); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/is_pair.cpp b/src/boost/libs/numeric/odeint/test/is_pair.cpp new file mode 100644 index 000000000..bf3bc35b0 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/is_pair.cpp @@ -0,0 +1,49 @@ +/* + [auto_generated] + libs/numeric/odeint/test/is_pair.cpp + + [begin_description] + This file tests the is_pair meta-function. + [end_description] + + Copyright 2011-2012 Karsten Ahnert + Copyright 2011-2012 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) +*/ + +#define BOOST_TEST_MODULE odeint_is_pair + +#include <utility> + +#include <boost/test/unit_test.hpp> +#include <boost/static_assert.hpp> + +#include <boost/numeric/odeint/util/is_pair.hpp> + +using namespace boost::numeric::odeint; + + + +BOOST_AUTO_TEST_SUITE( is_pair_test ) + +BOOST_AUTO_TEST_CASE( test_is_pair ) +{ + typedef std::pair< int , int > type1; + typedef std::pair< int& , int > type2; + typedef std::pair< int , int& > type3; + typedef std::pair< int& , int& > type4; + typedef std::pair< const int , int > type5; + typedef std::pair< const int& , int > type6; + + BOOST_STATIC_ASSERT(( is_pair< type1 >::value )); + BOOST_STATIC_ASSERT(( is_pair< type2 >::value )); + BOOST_STATIC_ASSERT(( is_pair< type3 >::value )); + BOOST_STATIC_ASSERT(( is_pair< type4 >::value )); + BOOST_STATIC_ASSERT(( is_pair< type5 >::value )); + BOOST_STATIC_ASSERT(( is_pair< type6 >::value )); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/is_resizeable.cpp b/src/boost/libs/numeric/odeint/test/is_resizeable.cpp new file mode 100644 index 000000000..cb8e9c1c7 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/is_resizeable.cpp @@ -0,0 +1,116 @@ +/* + [auto_generated] + libs/numeric/odeint/test/is_resizeable.cpp + + [begin_description] + This file tests is_resizeable meta-function of odeint. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_is_resizeable + +#include <vector> +#include <cmath> + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/util/is_resizeable.hpp> +#include <boost/fusion/include/vector.hpp> +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +template< typename T > struct my_seq1 {}; +template< typename T > struct my_seq2 {}; + +namespace boost { namespace fusion { namespace traits { + + template< typename T > struct is_sequence< my_seq1< T > > : boost::true_type {}; + template< typename T > struct is_sequence< my_seq2< T > > : boost::true_type {}; +} } } // boost::fusion::traits + +namespace boost { namespace numeric { namespace odeint { + + template< typename T > + struct is_resizeable< my_seq2< T > > : boost::true_type {}; + +} } } // boost::numeric::odeint + + + +BOOST_AUTO_TEST_CASE( test_vector ) +{ + BOOST_CHECK( is_resizeable< std::vector< int > >::value ); +} + +BOOST_AUTO_TEST_CASE( test_double ) +{ + BOOST_CHECK( !( is_resizeable< double >::value ) ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_vector_of_vector ) +{ + typedef boost::fusion::vector< std::vector< double > , std::vector< double > > state_type; + BOOST_CHECK( is_resizeable< state_type >::value ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_vector_of_double ) +{ + typedef boost::fusion::vector< double , double > state_type; + BOOST_CHECK( !( is_resizeable< state_type >::value ) ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_vector_mixed1 ) +{ + typedef boost::fusion::vector< double , std::vector< double > > state_type; + BOOST_CHECK( is_resizeable< state_type >::value); +} + +BOOST_AUTO_TEST_CASE( test_fusion_vector_mixed2 ) +{ + typedef boost::fusion::vector< std::vector< double > , double > state_type; + BOOST_CHECK( is_resizeable< state_type >::value ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_quantity_sequence ) +{ + namespace units = boost::units; + namespace si = boost::units::si; + + typedef double value_type; + typedef units::quantity< si::time , value_type > time_type; + typedef units::quantity< si::length , value_type > length_type; + typedef units::quantity< si::velocity , value_type > velocity_type; + typedef boost::fusion::vector< length_type , velocity_type > state_type; + + BOOST_CHECK( !( is_resizeable< state_type >::value ) ); +} + +BOOST_AUTO_TEST_CASE( test_my_seq1 ) +{ + BOOST_CHECK( !is_resizeable< my_seq1< double > >::value ); +} + +BOOST_AUTO_TEST_CASE( test_my_seq2 ) +{ + BOOST_CHECK( is_resizeable< my_seq2< double > >::value ); +}
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/test/multi_array.cpp b/src/boost/libs/numeric/odeint/test/multi_array.cpp new file mode 100644 index 000000000..67b7f964d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/multi_array.cpp @@ -0,0 +1,211 @@ +/* + [auto_generated] + libs/numeric/odeint/test/multi_array.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_multi_array + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/algebra/multi_array_algebra.hpp> +#include <boost/numeric/odeint/util/multi_array_adaption.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/integrate/integrate_const.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/generation.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef boost::multi_array< double , 1 > vector_type; +typedef boost::multi_array< double , 2 > matrix_type; +typedef boost::multi_array< double , 3 > tensor_type; + + +BOOST_AUTO_TEST_SUITE( multi_array_test ) + +BOOST_AUTO_TEST_CASE( test_resizeable ) +{ + BOOST_CHECK( is_resizeable< vector_type >::value ); + BOOST_CHECK( is_resizeable< matrix_type >::value ); + BOOST_CHECK( is_resizeable< tensor_type >::value ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_vector1 ) +{ + vector_type v1( boost::extents[12] ); + vector_type v2( boost::extents[12] ); + BOOST_CHECK( same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_vector2 ) +{ + vector_type v1( boost::extents[12] ); + vector_type v2( boost::extents[13] ); + BOOST_CHECK( !same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_vector3 ) +{ + vector_type v1( boost::extents[12] ); + vector_type v2( boost::extents[vector_type::extent_range(-1,11)] ); + BOOST_CHECK( !same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_vector4 ) +{ + vector_type v1( boost::extents[12] ); + vector_type v2( boost::extents[vector_type::extent_range(-1,10)] ); + BOOST_CHECK( !same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_vector5 ) +{ + vector_type v1( boost::extents[vector_type::extent_range(-1,10)] ); + vector_type v2( boost::extents[vector_type::extent_range(-1,10)] ); + BOOST_CHECK( same_size( v1 , v2 ) ); +} + + + +BOOST_AUTO_TEST_CASE( test_same_size_matrix1 ) +{ + matrix_type m1( boost::extents[12][4] ); + matrix_type m2( boost::extents[12][4] ); + BOOST_CHECK( same_size( m1 , m2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_matrix2 ) +{ + matrix_type m1( boost::extents[12][4] ); + matrix_type m2( boost::extents[12][3] ); + BOOST_CHECK( !same_size( m1 , m2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_matrix3 ) +{ + matrix_type m1( boost::extents[12][matrix_type::extent_range(-1,2)] ); + matrix_type m2( boost::extents[12][3] ); + BOOST_CHECK( !same_size( m1 , m2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_matrix4 ) +{ + matrix_type m1( boost::extents[12][matrix_type::extent_range(-1,1)] ); + matrix_type m2( boost::extents[12][3] ); + BOOST_CHECK( !same_size( m1 , m2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_tensor1 ) +{ + tensor_type t1( boost::extents[ tensor_type::extent_range( -2 , 9 ) ] + [ tensor_type::extent_range( 5 , 11 ) ] + [ tensor_type::extent_range( -1 , 2 ) ] ); + tensor_type t2( boost::extents[ tensor_type::extent_range( 2 , 13 ) ] + [ tensor_type::extent_range( -1 , 5 ) ] + [ tensor_type::extent_range( 1 , 4 ) ] ); + BOOST_CHECK( !same_size( t1 , t2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_same_size_tensor2 ) +{ + tensor_type t1( boost::extents[ tensor_type::extent_range( -2 , 9 ) ] + [ tensor_type::extent_range( 5 , 11 ) ] + [ tensor_type::extent_range( -1 , 2 ) ] ); + tensor_type t2( boost::extents[ tensor_type::extent_range( -2 , 9 ) ] + [ tensor_type::extent_range( 5 , 11 ) ] + [ tensor_type::extent_range( -1 , 2 ) ] ); + BOOST_CHECK( same_size( t1 , t2 ) ); +} + + +// Tests for tensor_type + +BOOST_AUTO_TEST_CASE( test_resize_vector1 ) +{ + vector_type v1( boost::extents[4] ); + vector_type v2; + resize( v2 , v1 ); + BOOST_CHECK( same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_resize_vector2 ) +{ + vector_type v1( boost::extents[ vector_type::extent_range( -2 , 9 ) ] ); + vector_type v2; + resize( v2 , v1 ); + BOOST_CHECK( same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_resize_vector3 ) +{ + vector_type v1( boost::extents[ vector_type::extent_range( -2 , 9 ) ] ); + vector_type v2( boost::extents[ vector_type::extent_range( 2 , 9 ) ] ); + BOOST_CHECK( !same_size( v1 , v2 ) ); + resize( v2 , v1 ); + BOOST_CHECK( same_size( v1 , v2 ) ); +} + +struct mult4 +{ + void operator()( double &a , double const &b ) const + { + a = b * 4.0; + } +}; + +BOOST_AUTO_TEST_CASE( test_for_each2_vector ) +{ + vector_type v1( boost::extents[ vector_type::extent_range( -2 , 9 ) ] ); + vector_type v2( boost::extents[ vector_type::extent_range( 2 , 13 ) ] ); + for( int i=-2 ; i<9 ; ++i ) + v1[i] = i * 2; + multi_array_algebra::for_each2( v2 , v1 , mult4() ); + for( int i=2 ; i<13 ; ++i ) + BOOST_CHECK_EQUAL( v2[i] , v1[i-4]*4.0 ); +} + +struct vector_ode +{ + const static size_t n = 128; + void operator()( const vector_type &x , vector_type &dxdt , double t ) const + { + dxdt[-1] = x[n] - 2.0 * x[-1] + x[0]; + for( size_t i=0 ; i<n ; ++i ) + dxdt[i] = x[i-1] - 2.0 * x[i] + x[i+1]; + dxdt[n] = x[-1] - 2.0 * x[n] + x[n-1]; + } +}; + + +BOOST_AUTO_TEST_CASE( test_rk4_vector ) +{ + vector_type v1( boost::extents[ vector_type::extent_range( -1 , vector_ode::n+1 ) ] ); + integrate_const( runge_kutta4< vector_type >() , vector_ode() , v1 , 0.0 , 1.0 , 0.01 ); +} + +BOOST_AUTO_TEST_CASE( test_dopri5_vector ) +{ + vector_type v1( boost::extents[ vector_type::extent_range( -1 , vector_ode::n+1 ) ] ); + integrate_const( make_dense_output( 1.0e-6 , 1.0e-6 , runge_kutta_dopri5< vector_type >() ) , vector_ode() , v1 , 0.0 , 1.0 , 0.01 ); +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/n_step_iterator.cpp b/src/boost/libs/numeric/odeint/test/n_step_iterator.cpp new file mode 100644 index 000000000..bebcf6dab --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/n_step_iterator.cpp @@ -0,0 +1,225 @@ +/* + [auto_generated] + libs/numeric/odeint/test/n_step_iterator.cpp + + [begin_description] + This file tests the n-step iterator. + [end_description] + + Copyright 2009-2013 Karsten Ahnert + Copyright 2009-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_n_step_iterator + +#include <iterator> +#include <algorithm> +#include <vector> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/n_step_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; + + +BOOST_AUTO_TEST_SUITE( n_step_iterator_test ) + +typedef mpl::vector< + dummy_stepper + , dummy_dense_output_stepper + > dummy_steppers; + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef n_step_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x , 0.0 , 0.1 , 10 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &(*iter1) , &(*iter2) ); + BOOST_CHECK_EQUAL( &(*iter1) , &x ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( assignment_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef n_step_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x1 , 0.0 , 0.1 , 10 ); + iterator_type iter2 = iterator_type( Stepper() , empty_system() , x2 , 0.0 , 0.2 , 10 ); + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_n_step_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + make_n_step_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + // dummy_steppers just add 0.25 at each step, the above for_each leads to 10 do_step calls so x should be 3.5 + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_n_step_range( stepper , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_with_reference_wrapper_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_n_step_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + make_n_step_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range_with_reference_wrapper , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_n_step_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef n_step_iterator< Stepper , empty_system , state_type > stepper_iterator; + + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , 2.5 , 0.1 , 0 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( last1 == last2 ); + BOOST_CHECK( first1 != last1 ); + BOOST_CHECK( ++first1 == last1 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef n_step_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + stepper_iterator first( Stepper() , empty_system() , x , 0.0 , 0.1 , 3 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); // the iterator should not iterate over the end +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_negative_time_step , Stepper , dummy_steppers ) +{ + typedef n_step_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + stepper_iterator first( Stepper() , empty_system() , x , 0.3 , -0.1 , 3 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + std::copy( make_n_step_iterator_begin( Stepper() , empty_system() , x , 0.0 , 0.1 , 3 ) , + make_n_step_iterator_end( Stepper() , empty_system() , x ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + boost::range::copy( make_n_step_range( Stepper() , empty_system() , x , 0.0 , 0.1 , 3 ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-14 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-14 ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/n_step_time_iterator.cpp b/src/boost/libs/numeric/odeint/test/n_step_time_iterator.cpp new file mode 100644 index 000000000..fbce86767 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/n_step_time_iterator.cpp @@ -0,0 +1,213 @@ +/* + [auto_generated] + libs/numeric/odeint/test/n_step_time_iterator.cpp + + [begin_description] + This file tests the n-step time iterator. + [end_description] + + Copyright 2009-2013 Karsten Ahnert + Copyright 2009-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_n_step_time_iterator + +#include <iterator> +#include <algorithm> +#include <vector> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/n_step_time_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; +typedef dummy_stepper::time_type time_type; +typedef std::vector< std::pair< state_type , time_type > > result_vector; + +BOOST_AUTO_TEST_SUITE( n_step_time_iterator_test ) + +typedef mpl::vector< + dummy_stepper + , dummy_dense_output_stepper + > dummy_steppers; + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef n_step_time_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x , 0.0 , 0.1 , 10 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &( iter1->first ) , &( iter2->first ) ); + BOOST_CHECK_EQUAL( &( iter1->first ) , &x ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( assignment_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef n_step_time_iterator< Stepper , empty_system , state_type > iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x1 , 0.0 , 0.1 , 10 ); + iterator_type iter2 = iterator_type( Stepper() , empty_system() , x2 , 0.0 , 0.2 , 10 ); + BOOST_CHECK_EQUAL( &( iter1->first ) , &x1 ); + BOOST_CHECK_EQUAL( &( iter2->first ) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &( iter1->first ) , &x1 ); + BOOST_CHECK_EQUAL( &( iter2->first ) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_n_step_time_iterator_begin( stepper , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + make_n_step_time_iterator_end( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_n_step_time_range( stepper , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_with_reference_wrapper_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_n_step_time_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + make_n_step_time_iterator_end( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range_with_reference_wrapper , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_n_step_time_range( boost::ref( stepper ) , boost::ref( system ) , x , 0.0 , 0.1 , 10 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 3.5 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef n_step_time_iterator< Stepper , empty_system , state_type > stepper_iterator; + + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , 0.0 , 0.1 , 0 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( last1 == last2 ); + BOOST_CHECK( first1 != last1 ); + BOOST_CHECK( ++first1 == last1 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef n_step_time_iterator< Stepper , empty_system , state_type > stepper_iterator; + state_type x = {{ 1.0 }}; + result_vector res; + stepper_iterator first( Stepper() , empty_system() , x , 0.0 , 0.1 , 3 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + std::copy( make_n_step_time_iterator_begin( Stepper() , empty_system() , x , 0.0 , 0.1 , 3 ) , + make_n_step_time_iterator_end( Stepper() , empty_system() , x ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + boost::range::copy( make_n_step_time_range( Stepper() , empty_system() , x , 0.0 , 0.1 , 3 ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[0].second , 0.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].second , 0.1 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].second , 0.2 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].second , 0.3 , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/Jamfile.v2 b/src/boost/libs/numeric/odeint/test/numeric/Jamfile.v2 new file mode 100644 index 000000000..a4643f6a5 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/Jamfile.v2 @@ -0,0 +1,36 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 2012 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) + +# bring in rules for testing + + +import testing ; + +use-project boost : $(BOOST_ROOT) ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + <define>BOOST_ALL_NO_LIB=1 + <include>../../include + <link>static + <toolset>clang:<cxxflags>-Wno-unused-variable + +# <cxxflags>-D_SCL_SECURE_NO_WARNINGS + ; + +test-suite "odeint" + : + [ run runge_kutta.cpp ] + [ run symplectic.cpp ] + [ run rosenbrock.cpp ] + [ run adams_bashforth.cpp ] + [ run adams_bashforth_moulton.cpp ] + [ run adaptive_adams_bashforth_moulton.cpp ] + [ run abm_time_dependent.cpp ] + [ run order_quadrature_formula.cpp ] + [ run velocity_verlet.cpp ] + : <testing.launcher>valgrind + ; diff --git a/src/boost/libs/numeric/odeint/test/numeric/abm_time_dependent.cpp b/src/boost/libs/numeric/odeint/test/numeric/abm_time_dependent.cpp new file mode 100644 index 000000000..019a17d6c --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/abm_time_dependent.cpp @@ -0,0 +1,85 @@ +/* Boost numeric test of the adams-bashforth-moulton steppers test file + + Copyright 2013 Karsten Ahnert + Copyright 2013-2015 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_adams_bashforth_moulton + +#include <iostream> +#include <cmath> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; + +typedef value_type state_type; + + +// simple time-dependent rhs, analytic solution x = 0.5*t^2 +struct simple_rhs +{ + void operator()( const state_type& x , state_type &dxdt , const double t ) const + { + dxdt = t; + } +}; + +BOOST_AUTO_TEST_SUITE( numeric_abm_time_dependent_test ) + + +/* generic test for all adams bashforth moulton steppers */ +template< class Stepper > +struct perform_abm_time_dependent_test +{ + void operator()( void ) + { + Stepper stepper; + const int o = stepper.order()+1; //order of the error is order of approximation + 1 + + const state_type x0 = 0.0; + state_type x1 = x0; + double t = 0.0; + double dt = 0.1; + const int steps = 10; + + integrate_n_steps( boost::ref(stepper) , simple_rhs(), x1 , t , dt , steps ); + BOOST_CHECK_LT( std::abs( 0.5 - x1 ) , std::pow( dt , o ) ); + } +}; + +typedef mpl::vector< + adams_bashforth_moulton< 2 , state_type > , + adams_bashforth_moulton< 3 , state_type > , + adams_bashforth_moulton< 4 , state_type > , + adams_bashforth_moulton< 5 , state_type > , + adams_bashforth_moulton< 6 , state_type > , + adams_bashforth_moulton< 7 , state_type > , + adams_bashforth_moulton< 8 , state_type > + > adams_bashforth_moulton_steppers; + +BOOST_AUTO_TEST_CASE_TEMPLATE( abm_time_dependent_test , Stepper, adams_bashforth_moulton_steppers ) +{ + perform_abm_time_dependent_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/adams_bashforth.cpp b/src/boost/libs/numeric/odeint/test/numeric/adams_bashforth.cpp new file mode 100644 index 000000000..ca8a6cee9 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/adams_bashforth.cpp @@ -0,0 +1,117 @@ +/* Boost numeric test of the adams-bashforth steppers test file + + Copyright 2013 Karsten Ahnert + Copyright 2013-2015 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_adams_bashforth + +#include <iostream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; + +typedef boost::array< double , 2 > state_type; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc +{ + void operator()( const state_type &x , state_type &dxdt , const double t ) const + { + dxdt[0] = x[1]; + dxdt[1] = -x[0]; + } +}; + +BOOST_AUTO_TEST_SUITE( numeric_adams_bashforth_test ) + + +/* generic test for all adams bashforth steppers */ +template< class Stepper > +struct perform_adams_bashforth_test +{ + void operator()( void ) + { + Stepper stepper; + const int o = stepper.order()+1; //order of the error is order of approximation + 1 + + const state_type x0 = {{ 0.0 , 1.0 }}; + state_type x1 = x0; + double t = 0.0; + double dt = 0.2; + // initialization, does a number of steps already to fill internal buffer, t is increased + stepper.initialize( osc() , x1 , t , dt ); + double A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + double phi = std::asin(x1[0]/A) - t; + // do a number of steps to fill the buffer with results from adams bashforth + for( size_t n=0 ; n < stepper.steps ; ++n ) + { + stepper.do_step( osc() , x1 , t , dt ); + t += dt; + } + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + // only examine the error of the adams-bashforth step, not the initialization + const double f = 2.0 * std::abs( A*sin(t+dt+phi) - x1[0] ) / std::pow( dt , o ); // upper bound + + std::cout << o << " , " + << Stepper::initializing_stepper_type::order_value+1 << " , " + << f << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + x1 = x0; + t = 0.0; + stepper.initialize( osc() , x1 , t , dt ); + A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + phi = std::asin(x1[0]/A) - t; + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + // only examine the error of the adams-bashforth step, not the initialization + std::cout << "Testing dt=" << dt << " , " << std::abs( A*sin(t+dt+phi) - x1[0] ) << std::endl; + BOOST_CHECK_LT( std::abs( A*sin(t+dt+phi) - x1[0] ) , f*std::pow( dt , o ) ); + dt *= 0.5; + } + } +}; + +typedef mpl::vector< + adams_bashforth< 2 , state_type > , + adams_bashforth< 3 , state_type > , + adams_bashforth< 4 , state_type > , + adams_bashforth< 5 , state_type > , + adams_bashforth< 6 , state_type > , + adams_bashforth< 7 , state_type > , + adams_bashforth< 8 , state_type > + > adams_bashforth_steppers; + +BOOST_AUTO_TEST_CASE_TEMPLATE( adams_bashforth_test , Stepper, adams_bashforth_steppers ) +{ + perform_adams_bashforth_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/adams_bashforth_moulton.cpp b/src/boost/libs/numeric/odeint/test/numeric/adams_bashforth_moulton.cpp new file mode 100644 index 000000000..dea57182a --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/adams_bashforth_moulton.cpp @@ -0,0 +1,119 @@ +/* Boost numeric test of the adams-bashforth-moulton steppers test file + + Copyright 2013 Karsten Ahnert + Copyright 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_adams_bashforth_moulton + +#include <iostream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; + +typedef boost::array< double , 2 > state_type; +typedef runge_kutta_fehlberg78<state_type> initializing_stepper; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc +{ + void operator()( const state_type &x , state_type &dxdt , const double t ) const + { + dxdt[0] = x[1]; + dxdt[1] = -x[0]; + } +}; + +BOOST_AUTO_TEST_SUITE( numeric_adams_bashforth_moulton_test ) + + +/* generic test for all adams bashforth moulton steppers */ +template< class Stepper > +struct perform_adams_bashforth_moulton_test +{ + void operator()( void ) + { + Stepper stepper; + initializing_stepper init_stepper; + const int o = stepper.order()+1; //order of the error is order of approximation + 1 + + const state_type x0 = {{ 0.0 , 1.0 }}; + state_type x1 = x0; + double t = 0.0; + double dt = 0.25; + // initialization, does a number of steps already to fill internal buffer, t is increased + // we use the rk78 as initializing stepper + stepper.initialize( boost::ref(init_stepper) , osc() , x1 , t , dt ); + // do a number of steps to fill the buffer with results from adams bashforth + for( size_t n=0 ; n < stepper.steps ; ++n ) + { + stepper.do_step( osc() , x1 , t , dt ); + t += dt; + } + double A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + double phi = std::asin(x1[0]/A) - t; + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + // only examine the error of the adams-bashforth-moulton step, not the initialization + const double f = 2.0 * std::abs( A*sin(t+dt+phi) - x1[0] ) / std::pow( dt , o ); // upper bound + + std::cout << o << " , " << f << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + x1 = x0; + t = 0.0; + stepper.initialize( boost::ref(init_stepper) , osc() , x1 , t , dt ); + A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + phi = std::asin(x1[0]/A) - t; + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + // only examine the error of the adams-bashforth-moulton step, not the initialization + std::cout << "Testing dt=" << dt << " , " << std::abs( A*sin(t+dt+phi) - x1[0] ) << std::endl; + BOOST_CHECK_LT( std::abs( A*sin(t+dt+phi) - x1[0] ) , f*std::pow( dt , o ) ); + dt *= 0.5; + } + } +}; + +typedef mpl::vector< + adams_bashforth_moulton< 1 , state_type > , + adams_bashforth_moulton< 2 , state_type > , + adams_bashforth_moulton< 3 , state_type > , + adams_bashforth_moulton< 4 , state_type > , + adams_bashforth_moulton< 5 , state_type > , + adams_bashforth_moulton< 6 , state_type > , + adams_bashforth_moulton< 7 , state_type > , + adams_bashforth_moulton< 8 , state_type > + > adams_bashforth_moulton_steppers; + +BOOST_AUTO_TEST_CASE_TEMPLATE( adams_bashforth_moulton_test , Stepper, adams_bashforth_moulton_steppers ) +{ + perform_adams_bashforth_moulton_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/adaptive_adams_bashforth_moulton.cpp b/src/boost/libs/numeric/odeint/test/numeric/adaptive_adams_bashforth_moulton.cpp new file mode 100644 index 000000000..0932dd1dd --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/adaptive_adams_bashforth_moulton.cpp @@ -0,0 +1,113 @@ +/* Boost numeric test of the adams-bashforth steppers test file + + Copyright 2013 Karsten Ahnert + Copyright 2013-2015 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_adaptive_adams_bashforth_moulton + +#include <iostream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; + +typedef boost::array< double , 2 > state_type; +typedef runge_kutta_fehlberg78<state_type> initializing_stepper; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc +{ + void operator()( const state_type &x , state_type &dxdt , const double t ) const + { + dxdt[0] = x[1]; + dxdt[1] = -x[0]; + } +}; + +BOOST_AUTO_TEST_SUITE( numeric_adaptive_adams_bashforth_moulton_test ) + + +/* generic test for all adams bashforth steppers */ +template< class Stepper > +struct perform_adaptive_adams_bashforth_moulton_test +{ + void operator()( void ) + { + Stepper stepper; + initializing_stepper init_stepper; + + const int o = stepper.order()+1; //order of the error is order of approximation + 1 + + const state_type x0 = {{ 0.0 , 1.0 }}; + state_type x1 = x0; + double t = 0.0; + double dt = 0.25; + // initialization, does a number of steps to self-start the stepper with a small stepsize + stepper.initialize( init_stepper, osc() , x1 , t , dt); + double A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + double phi = std::asin(x1[0]/A) - t; + + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + // only examine the error of the adams-bashforth step, not the initialization + const double f = 2.0 * std::abs( A*sin(t+dt+phi) - x1[0] ) / std::pow( dt , o ); // upper bound + + std::cout << o << " , " << f << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + x1 = x0; + t = 0.0; + stepper.initialize( init_stepper, osc() , x1 , t , dt ); + A = std::sqrt( x1[0]*x1[0] + x1[1]*x1[1] ); + phi = std::asin(x1[0]/A) - t; + // now we do the actual step + stepper.do_step( osc() , x1 , t , dt ); + stepper.reset(); + // only examine the error of the adams-bashforth step, not the initialization + std::cout << "Testing dt=" << dt << " , " << std::abs( A*sin(t+dt+phi) - x1[0] ) << std::endl; + BOOST_CHECK_LT( std::abs( A*sin(t+dt+phi) - x1[0] ) , f*std::pow( dt , o ) ); + dt *= 0.5; + } + } +}; + +typedef mpl::vector< + adaptive_adams_bashforth_moulton< 2 , state_type > , + adaptive_adams_bashforth_moulton< 3 , state_type > , + adaptive_adams_bashforth_moulton< 4 , state_type > , + adaptive_adams_bashforth_moulton< 5 , state_type > , + adaptive_adams_bashforth_moulton< 6 , state_type > , + adaptive_adams_bashforth_moulton< 7 , state_type > + > adaptive_adams_bashforth_moulton_steppers; + +BOOST_AUTO_TEST_CASE_TEMPLATE( adaptive_adams_bashforth_moulton_test , Stepper, adaptive_adams_bashforth_moulton_steppers ) +{ + perform_adaptive_adams_bashforth_moulton_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/order_quadrature_formula.cpp b/src/boost/libs/numeric/odeint/test/numeric/order_quadrature_formula.cpp new file mode 100644 index 000000000..cefab4dae --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/order_quadrature_formula.cpp @@ -0,0 +1,195 @@ +/* Boost numeric test for orders of quadrature formulas test file + + Copyright 2015 Gregor de Cillia + Copyright 2015 Mario Mulansky <mario.mulansky@gmx.net> + + 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> + +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE order_quadrature_formula + +#include <iostream> +#include <cmath> + +#include "boost/format.hpp" + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +#include <boost/numeric/ublas/vector.hpp> + +#include <boost/format.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; +typedef value_type time_type; +typedef value_type state_type; + +BOOST_AUTO_TEST_SUITE( order_of_convergence_test ) + +/* defines the simple monomial f(t) = (p+1) * t^p.*/ +struct monomial +{ + int power; + + monomial(int p = 0) : power( p ){}; + + void operator()( const state_type &x , state_type &dxdt , const time_type t ) + { + dxdt = ( 1.0 + power ) * pow( t, power ); + } +}; + + +/* generic test for all steppers that support integrate_const */ +template< class Stepper > +struct stepper_order_test +{ + void operator()( int steps = 1 ) + { + const int estimated_order = estimate_order( steps ); + const int defined_order = Stepper::order_value; + + std::cout << boost::format( "%-20i%-20i\n" ) + % estimated_order % defined_order; + + BOOST_REQUIRE_EQUAL( estimated_order, defined_order ); + } + + /* + the order of the stepper is estimated by trying to solve the ODE + x'(t) = (p+1) * t^p + until the errors are too big to be justified by finite precision. + the first value p for which the problem is *not* solved within the + finite precision tolerance is the estimate for the order of the scheme. + */ + int estimate_order( int steps ) + { + const double dt = 1.0/steps; + const double tolerance = steps*1E-15; + int p; + for( p = 0; true; p++ ) + { + // begin with x'(t) = t^0 = 1 + // => x (t) = t + // then use x'(t) = 2*t^1 + // => x (t) = t^2 + // ... + state_type x = 0.0; + + double t = integrate_n_steps( Stepper(), monomial( p ), x, 0.0, dt, + steps ); + if( fabs( x - pow( t, ( 1.0 + p ) ) ) > tolerance ) + break; + } + // the smallest power p for which the test failed is the estimated order, + // as the solution for this power is x(t) = t^{p+1} + return p; + } +}; + + +typedef mpl::vector< + euler< state_type > , + modified_midpoint< state_type > , + runge_kutta4< state_type > , + runge_kutta4_classic< state_type > , + runge_kutta_cash_karp54_classic< state_type > , + runge_kutta_cash_karp54< state_type > , + runge_kutta_dopri5< state_type > , + runge_kutta_fehlberg78< state_type > + > runge_kutta_steppers; + +typedef mpl::vector< + adams_bashforth< 2, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, runge_kutta_fehlberg78< state_type > >, + adams_bashforth< 3, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, runge_kutta_fehlberg78< state_type > >, + adams_bashforth< 4, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, runge_kutta_fehlberg78< state_type > >, + adams_bashforth< 5, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, runge_kutta_fehlberg78< state_type > >, + adams_bashforth< 6, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, runge_kutta_fehlberg78< state_type > >, + adams_bashforth< 7, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, runge_kutta_fehlberg78< state_type > >, + adams_bashforth< 8, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, runge_kutta_fehlberg78< state_type > > + > ab_steppers; + + +typedef mpl::vector< + adams_bashforth_moulton< 2, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, + runge_kutta_fehlberg78< state_type > >, + adams_bashforth_moulton< 3, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, + runge_kutta_fehlberg78< state_type > >, + adams_bashforth_moulton< 4, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, + runge_kutta_fehlberg78< state_type > >, + adams_bashforth_moulton< 5, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, + runge_kutta_fehlberg78< state_type > >, + adams_bashforth_moulton< 6, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, + runge_kutta_fehlberg78< state_type > >, + adams_bashforth_moulton< 7, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, + runge_kutta_fehlberg78< state_type > >, + adams_bashforth_moulton< 8, state_type, double, state_type, double, + vector_space_algebra, default_operations, + initially_resizer, + runge_kutta_fehlberg78< state_type > > + > abm_steppers; + + +BOOST_AUTO_TEST_CASE_TEMPLATE( runge_kutta_test , Stepper, runge_kutta_steppers ) +{ + stepper_order_test< Stepper > tester; + tester(10); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( adams_bashforth_test , Stepper, ab_steppers ) +{ + stepper_order_test< Stepper > tester; + tester(16); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( adams_bashforth_moultion_test , Stepper, abm_steppers ) +{ + stepper_order_test< Stepper > tester; + tester(16); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/rosenbrock.cpp b/src/boost/libs/numeric/odeint/test/numeric/rosenbrock.cpp new file mode 100644 index 000000000..2b6a26788 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/rosenbrock.cpp @@ -0,0 +1,89 @@ +/* Boost numeric test of the rosenbrock4 stepper test file + + Copyright 2012 Karsten Ahnert + Copyright 2012 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_rosenbrock + +#include <iostream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/rosenbrock4.hpp> +#include <boost/numeric/ublas/vector.hpp> +#include <boost/numeric/ublas/matrix.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; +typedef boost::numeric::ublas::vector< value_type > state_type; +typedef boost::numeric::ublas::matrix< value_type > matrix_type; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct sys +{ + void operator()( const state_type &x , state_type &dxdt , const value_type &t ) const + { + dxdt( 0 ) = x( 1 ); + dxdt( 1 ) = -x( 0 ); + } +}; + +struct jacobi +{ + void operator()( const state_type &x , matrix_type &jacobi , const value_type &t , state_type &dfdt ) const + { + jacobi( 0 , 0 ) = 0; + jacobi( 0 , 1 ) = 1; + jacobi( 1 , 0 ) = -1; + jacobi( 1 , 1 ) = 0; + dfdt( 0 ) = 0.0; + dfdt( 1 ) = 0.0; + } +}; + + +BOOST_AUTO_TEST_SUITE( numeric_rosenbrock4 ) + +BOOST_AUTO_TEST_CASE( rosenbrock4_numeric_test ) +{ + typedef rosenbrock4< value_type > stepper_type; + stepper_type stepper; + + const int o = stepper.order()+1; + + state_type x0( 2 ) , x1( 2 ); + x0(0) = 0.0; x0(1) = 1.0; + + double dt = 0.5; + + stepper.do_step( std::make_pair( sys() , jacobi() ) , x0 , 0.0 , x1 , dt ); + const double f = 2.0 * std::abs( std::sin(dt) - x1(0) ) / std::pow( dt , o ); + + std::cout << o << " , " << f << std::endl; + + while( f*std::pow( dt , o ) > 1E-16 ) + { + stepper.do_step( std::make_pair( sys() , jacobi() ) , x0 , 0.0 , x1 , dt ); + std::cout << "Testing dt=" << dt << std::endl; + BOOST_CHECK_SMALL( std::abs( std::sin(dt) - x1(0) ) , f*std::pow( dt , o ) ); + dt *= 0.5; + } +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/runge_kutta.cpp b/src/boost/libs/numeric/odeint/test/numeric/runge_kutta.cpp new file mode 100644 index 000000000..a71701bde --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/runge_kutta.cpp @@ -0,0 +1,177 @@ +/* Boost numeric test of the runge kutta steppers test file + + Copyright 2012 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_runge_kutta + +#include <iostream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/stepper/extrapolation_stepper.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; + +typedef boost::array< double , 2 > state_type; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc +{ + void operator()( const state_type &x , state_type &dxdt , const double t ) const + { + dxdt[0] = x[1]; + dxdt[1] = -x[0]; + } +}; + +/* reset dispatcher */ +template< class StepperCategory > +struct resetter +{ + template< class Stepper > + static void reset( Stepper &stepper ) { } +}; + +template< > +struct resetter< explicit_error_stepper_fsal_tag > +{ + template< class Stepper > + static void reset( Stepper &stepper ) + { stepper.reset(); } +}; + + +BOOST_AUTO_TEST_SUITE( numeric_runge_kutta_test ) + + +/* generic test for all runge kutta steppers */ +template< class Stepper > +struct perform_runge_kutta_test +{ + void operator()( void ) + { + + Stepper stepper; + const int o = stepper.order()+1; //order of the error is order of approximation + 1 + + const state_type x0 = {{ 0.0 , 1.0 }}; + state_type x1; + const double t = 0.0; + /* do a first step with dt=0.1 to get an estimate on the prefactor of the error dx = f * dt^(order+1) */ + double dt = 0.5; + stepper.do_step( osc() , x0 , t , x1 , dt ); + const double f = 2.0 * std::abs( sin(dt) - x1[0] ) / std::pow( dt , o ); // upper bound + + std::cout << o << " , " << f << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + // reset stepper which require resetting (fsal steppers) + resetter< typename Stepper::stepper_category >::reset( stepper ); + + stepper.do_step( osc() , x0 , t , x1 , dt ); + std::cout << "Testing dt=" << dt << std::endl; + BOOST_CHECK_LT( std::abs( sin(dt) - x1[0] ) , f*std::pow( dt , o ) ); + dt *= 0.5; + } + } +}; + + +/* generic error test for all runge kutta steppers */ +template< class Stepper > +struct perform_runge_kutta_error_test +{ + void operator()( void ) + { + Stepper stepper; + const int o = stepper.error_order()+1; //order of the error is order of approximation + 1 + + const state_type x0 = {{ 0.0 , 1.0 }}; + state_type x1 , x_err; + const double t = 0.0; + /* do a first step with dt=0.1 to get an estimate on the prefactor of the error dx = f * dt^(order+1) */ + double dt = 0.5; + stepper.do_step( osc() , x0 , t , x1 , dt , x_err ); + const double f = 2.0 * std::abs( x_err[0] ) / std::pow( dt , o ); + + std::cout << o << " , " << f << " , " << x0[0] << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + // reset stepper which require resetting (fsal steppers) + resetter< typename Stepper::stepper_category >::reset( stepper ); + + stepper.do_step( osc() , x0 , t , x1 , dt , x_err ); + std::cout << "Testing dt=" << dt << ": " << x_err[1] << std::endl; + BOOST_CHECK_SMALL( std::abs( x_err[0] ) , f*std::pow( dt , o ) ); + dt *= 0.5; + } + } +}; + + +typedef mpl::vector< + euler< state_type > , + modified_midpoint< state_type > , + runge_kutta4< state_type > , + runge_kutta4_classic< state_type > , + runge_kutta_cash_karp54_classic< state_type > , + runge_kutta_cash_karp54< state_type > , + runge_kutta_dopri5< state_type > , + runge_kutta_fehlberg78< state_type > , + extrapolation_stepper< 4, state_type > , + extrapolation_stepper< 6, state_type > , + extrapolation_stepper< 8, state_type > , + extrapolation_stepper< 10, state_type > + > runge_kutta_steppers; + +BOOST_AUTO_TEST_CASE_TEMPLATE( runge_kutta_test , Stepper, runge_kutta_steppers ) +{ + perform_runge_kutta_test< Stepper > tester; + tester(); +} + + +typedef mpl::vector< + runge_kutta_cash_karp54_classic< state_type > , + runge_kutta_cash_karp54< state_type > , + runge_kutta_dopri5< state_type > , + runge_kutta_fehlberg78< state_type > , + extrapolation_stepper< 4, state_type > , + extrapolation_stepper< 6, state_type > , + extrapolation_stepper< 8, state_type > , + extrapolation_stepper< 10, state_type > + > runge_kutta_error_steppers; + +BOOST_AUTO_TEST_CASE_TEMPLATE( runge_kutta_error_test , Stepper, runge_kutta_error_steppers ) +{ + perform_runge_kutta_error_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/symplectic.cpp b/src/boost/libs/numeric/odeint/test/numeric/symplectic.cpp new file mode 100644 index 000000000..6d3f75b15 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/symplectic.cpp @@ -0,0 +1,95 @@ +/* Boost numeric test of the symplectic steppers test file + + Copyright 2012 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_symplectic + +#include <iostream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; + +typedef boost::array< double ,1 > state_type; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc +{ + void operator()( const state_type &q , state_type &dpdt ) const + { + dpdt[0] = -q[0]; + } +}; + +BOOST_AUTO_TEST_SUITE( numeric_symplectic_test ) + + +/* generic test for all symplectic steppers */ +template< class Stepper > +struct perform_symplectic_test +{ + void operator()( void ) + { + + Stepper stepper; + const int o = stepper.order()+1; //order of the error is order of approximation + 1 + + const state_type q0 = {{ 0.0 }}; + const state_type p0 = {{ 1.0 }}; + state_type q1,p1; + std::pair< state_type , state_type >x1( q1 , p1 ); + const double t = 0.0; + /* do a first step with dt=0.1 to get an estimate on the prefactor of the error dx = f * dt^(order+1) */ + double dt = 0.5; + stepper.do_step( osc() , std::make_pair( q0 , p0 ) , t , x1 , dt ); + const double f = 2.0 * std::abs( sin(dt) - x1.first[0] ) / std::pow( dt , o ); + + std::cout << o << " , " << f << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + stepper.do_step( osc() , std::make_pair( q0 , p0 ) , t , x1 , dt ); + std::cout << "Testing dt=" << dt << std::endl; + BOOST_CHECK_SMALL( std::abs( sin(dt) - x1.first[0] ) , f*std::pow( dt , o ) ); + dt *= 0.5; + } + } +}; + + +typedef mpl::vector< + symplectic_euler< state_type > , + symplectic_rkn_sb3a_mclachlan< state_type > + > symplectic_steppers; + +BOOST_AUTO_TEST_CASE_TEMPLATE( symplectic_test , Stepper, symplectic_steppers ) +{ + perform_symplectic_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/numeric/velocity_verlet.cpp b/src/boost/libs/numeric/odeint/test/numeric/velocity_verlet.cpp new file mode 100644 index 000000000..5ac77807b --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/numeric/velocity_verlet.cpp @@ -0,0 +1,93 @@ +/* Boost numeric test of the runge kutta steppers test file + + Copyright 2012 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE numeric_runge_kutta + +#include <iostream> +#include <cmath> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double value_type; + +typedef boost::array< double , 1 > state_type; + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc +{ + void operator()( const state_type &x, const state_type &v, state_type &a, + const double t ) const + { + a[0] = -x[0]; + } +}; + +BOOST_AUTO_TEST_SUITE( velocity_verlet_test ) + +BOOST_AUTO_TEST_CASE( numeric_velocity_verlet_test ) +{ + + velocity_verlet<state_type> stepper; + const int steps = 10; + // order of the error is order of approximation + 1 + const int o = stepper.order() + 1; + + const state_type x0 = {{ 0.0 }}; + const state_type v0 = {{ 1.0 }}; + state_type x = x0; + state_type v = v0; + const double t = 0.0; + /* do a first step with dt=0.1 to get an estimate on the prefactor of the error dx = f * dt^(order+1) */ + double dt = 0.5; + for ( int step = 0; step < steps; ++step ) + { + stepper.do_step( + osc(), std::make_pair( boost::ref( x ), boost::ref( v ) ), t, dt ); + } + const double f = steps * std::abs( sin( steps * dt ) - x[0] ) / + std::pow( dt, o ); // upper bound + + std::cout << o << " , " << f << std::endl; + + /* as long as we have errors above machine precision */ + while( f*std::pow( dt , o ) > 1E-16 ) + { + x = x0; + v = v0; + stepper.reset(); + for ( int step = 0; step < steps; ++step ) + { + stepper.do_step( osc() , std::make_pair(boost::ref(x), boost::ref(v)) , t , dt ); + } + std::cout << "Testing dt=" << dt << std::endl; + BOOST_CHECK_LT( std::abs( sin( steps * dt ) - x[0] ), + f * std::pow( dt, o ) ); + dt *= 0.5; + } +}; + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/prepare_stepper_testing.hpp b/src/boost/libs/numeric/odeint/test/prepare_stepper_testing.hpp new file mode 100644 index 000000000..10c0c84e9 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/prepare_stepper_testing.hpp @@ -0,0 +1,74 @@ +/* + [auto_generated] + libs/numeric/odeint/test/prepare_stepper_testing.hpp + + [begin_description] + This file defines some helper functions for the stepper tests. + [end_description] + + Copyright 2011-2012 Karsten Ahnert + Copyright 2012-2013 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) + */ + +#ifndef PREPARE_STEPPER_TESTING_HPP_ +#define PREPARE_STEPPER_TESTING_HPP_ + +#include <boost/array.hpp> +#include <vector> +#include <complex> + +#include <boost/fusion/sequence.hpp> +#include <boost/mpl/vector.hpp> +#include <boost/multiprecision/cpp_dec_float.hpp> + +#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> +#include <boost/numeric/odeint/algebra/array_algebra.hpp> +#include <boost/numeric/odeint/algebra/algebra_dispatcher.hpp> + +namespace mpl = boost::mpl; +namespace fusion = boost::fusion; + +using namespace boost::numeric::odeint; + +/* the state types that will be tested */ +typedef std::vector< double > vector_type; +typedef std::vector< std::complex<double> > complex_vector_type; +typedef double vector_space_type; +typedef boost::array< double , 1 > array_type; +typedef boost::array< std::complex<double> , 1 > complex_array_type; + +typedef boost::multiprecision::cpp_dec_float_50 mp_type; +typedef boost::array< mp_type , 1 > mp_array_type; + +typedef mpl::vector< vector_type , complex_vector_type , vector_space_type , + array_type , complex_array_type , mp_type , mp_array_type + >::type container_types; + +namespace boost { namespace numeric { namespace odeint { + + // mp_type forms a vector space + template<> + struct algebra_dispatcher< mp_type > + { + typedef vector_space_algebra algebra_type; + }; + + // add norm computation + template<> + struct vector_space_norm_inf< mp_type > + { + typedef mp_type result_type; + mp_type operator()( mp_type x ) const + { + using std::abs; + return abs(x); + } + }; + +} } } + +#endif /* PREPARE_STEPPER_TESTING_HPP_ */ diff --git a/src/boost/libs/numeric/odeint/test/range_algebra.cpp b/src/boost/libs/numeric/odeint/test/range_algebra.cpp new file mode 100644 index 000000000..d80e9519d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/range_algebra.cpp @@ -0,0 +1,143 @@ +/* + [auto_generated] + libs/numeric/odeint/test/check_operations.cpp + + [begin_description] + This file tests interaction between the algebras and the operations. + [end_description] + + 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) + */ + +#define BOOST_TEST_MODULE odeint_standard_algebra + +#include <cmath> +#include <complex> +#include <utility> +#include <functional> +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/numeric/odeint/algebra/default_operations.hpp> +#include <boost/numeric/odeint/algebra/range_algebra.hpp> +#include <boost/numeric/odeint/algebra/array_algebra.hpp> + +#include <boost/mpl/list.hpp> + +namespace units = boost::units; +namespace si = boost::units::si; + +using boost::numeric::odeint::default_operations; +using boost::numeric::odeint::range_algebra; +using boost::numeric::odeint::array_algebra; + + +BOOST_AUTO_TEST_SUITE( standard_algebra_test ) + +typedef boost::mpl::list< range_algebra , array_algebra > algebra_types; +range_algebra algebra; + +BOOST_AUTO_TEST_CASE_TEMPLATE( for_each2 , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x1 = {{ 1.0 , 1.0 }} , x2 = {{ 2.0 , 2.0 }}; + algebra.for_each2( x1 , x2 , default_operations::scale_sum1<>( 1.0 ) ); + BOOST_CHECK_CLOSE( x1[0] , 2.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1] , 2.0 , 1.0e-10 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( for_each3 , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x1 = {{ 1.0 , 1.0 }} , x2 = {{ 2.0 , 2.0 }} , x3 = {{ 3.0 , 3.0 }}; + algebra.for_each3( x1 , x2 , x3 , default_operations::scale_sum2<>( 1.0 , 2.0 ) ); + BOOST_CHECK_CLOSE( x1[0] , 8.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1] , 8.0 , 1.0e-10 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( for_each4 , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x1 = {{ 1.0 , 1.0 }} , x2 = {{ 2.0 , 2.0 }} , x3 = {{ 3.0 , 3.0 }} , x4 = {{ 4.0 , 4.0 }}; + algebra.for_each4( x1 , x2 , x3 , x4 , default_operations::scale_sum3<>( 1.0 , 2.0 , 3.0 ) ); + BOOST_CHECK_CLOSE( x1[0] , 20.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1] , 20.0 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( for_each5 , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x1 = {{ 1.0 , 1.0 }} , x2 = {{ 2.0 , 2.0 }} , x3 = {{ 3.0 , 3.0 }} , x4 = {{ 4.0 , 4.0 }} , x5 = {{ 5.0 , 5.0 }}; + algebra.for_each5( x1 , x2 , x3 , x4 , x5 , default_operations::scale_sum4<>( 1.0 , 2.0 , 3.0 , 4.0 ) ); + BOOST_CHECK_CLOSE( x1[0] , 40.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1] , 40.0 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( for_each6 , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x1 = {{ 1.0 , 1.0 }} , x2 = {{ 2.0 , 2.0 }} , x3 = {{ 3.0 , 3.0 }} , x4 = {{ 4.0 , 4.0 }} , x5 = {{ 5.0 , 5.0 }} , x6 = {{ 6.0 , 6.0 }}; + algebra.for_each6( x1 , x2 , x3 , x4 , x5 , x6 ,default_operations::scale_sum5<>( 1.0 , 2.0 , 3.0 , 4.0 , 5.0 ) ); + BOOST_CHECK_CLOSE( x1[0] , 70.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1] , 70.0 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( for_each7 , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x1 = {{ 1.0 , 1.0 }} , x2 = {{ 2.0 , 2.0 }} , x3 = {{ 3.0 , 3.0 }} , x4 = {{ 4.0 , 4.0 }} , x5 = {{ 5.0 , 5.0 }} , x6 = {{ 6.0 , 6.0 }} , x7 = {{ 7.0 , 7.0 }}; + algebra.for_each7( x1 , x2 , x3 , x4 , x5 , x6 , x7 , default_operations::scale_sum6<>( 1.0 , 2.0 , 3.0 , 4.0 , 5.0 , 6.0 ) ); + BOOST_CHECK_CLOSE( x1[0] , 112.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1] , 112.0 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( for_each8 , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x1 = {{ 1.0 , 1.0 }} , x2 = {{ 2.0 , 2.0 }} , x3 = {{ 3.0 , 3.0 }} , x4 = {{ 4.0 , 4.0 }} , x5 = {{ 5.0 , 5.0 }} , x6 = {{ 6.0 , 6.0 }} , x7 = {{ 7.0 , 7.0 }} , x8 = {{ 8.0 , 8.0 }}; + algebra.for_each8( x1 , x2 , x3 , x4 , x5 , x6 , x7 , x8 , default_operations::scale_sum7<>( 1.0 , 2.0 , 3.0 , 4.0 , 5.0 , 6.0 , 7.0 ) ); + BOOST_CHECK_CLOSE( x1[0] , 168.0 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1] , 168.0 , 1.0e-10 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( norm_inf , algebra_type , algebra_types ) +{ + algebra_type algebra; + boost::array< double , 2 > x = {{ 1.25 , 2.25 }}; + double nrm = algebra.norm_inf( x ); + BOOST_CHECK_CLOSE( nrm , 2.25 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x[0] , 1.25 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x[1] , 2.25 , 1.0e-10 ); +} + + +BOOST_AUTO_TEST_CASE( for_each2_with_units ) +{ + range_algebra algebra; + typedef units::quantity< si::time , double > time_type; + typedef units::quantity< si::length , double > length_type; + typedef units::quantity< si::velocity , double > velocity_type; + boost::array< length_type , 2 > x1 = {{ 1.0 * si::meter , 1.0 * si::meter }}; + boost::array< velocity_type , 2 > x2 = {{ 2.0 * si::meter / si::seconds , 2.0 * si::meter / si::seconds }}; + algebra.for_each2( x1 , x2 , default_operations::scale_sum1< time_type >( 0.1 * si::second ) ); + BOOST_CHECK_CLOSE( x1[0].value() , 0.2 , 1.0e-10 ); + BOOST_CHECK_CLOSE( x1[1].value() , 0.2 , 1.0e-10 ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/regression/Jamfile.v2 b/src/boost/libs/numeric/odeint/test/regression/Jamfile.v2 new file mode 100644 index 000000000..bb085f46c --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/regression/Jamfile.v2 @@ -0,0 +1,31 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 2012 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) + +# bring in rules for testing + + +import testing ; + +use-project boost : $(BOOST_ROOT) ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + <define>BOOST_ALL_NO_LIB=1 + <include>../../include + <link>static + <toolset>clang:<cxxflags>-Wno-unused-variable + +# <cxxflags>-D_SCL_SECURE_NO_WARNINGS + ; + +test-suite "odeint" + : + [ run regression_147.cpp ] + [ compile regression_149.cpp ] + [ run regression_168.cpp ] + [ run regression_189.cpp ] + : <testing.launcher>valgrind + ; diff --git a/src/boost/libs/numeric/odeint/test/regression/regression_147.cpp b/src/boost/libs/numeric/odeint/test/regression/regression_147.cpp new file mode 100644 index 000000000..7373782df --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/regression/regression_147.cpp @@ -0,0 +1,88 @@ +/* + + [begin_description] + Test case for issue 147 + [end_description] + + Copyright 2011-2015 Karsten Ahnert + Copyright 2011-2015 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) + */ + + +// disable checked iterator warning for msvc + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_regression_147 + +#include <utility> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef double state_type; + +void rhs( const state_type &x , state_type &dxdt , const double t ) +{ + dxdt = 1; +} + + +template<class Stepper, class InitStepper> +struct perform_init_test +{ + void operator()( void ) + { + double t = 0; + const double dt = 0.1; + + state_type x = 0; + + Stepper stepper; + InitStepper init_stepper; + stepper.initialize( init_stepper, rhs, x, t, dt ); + + // ab-stepper needs order-1 init steps: t and x should be (order-1)*dt + BOOST_CHECK_CLOSE( t , (stepper.order()-1)*dt , 1E-16 ); + BOOST_CHECK_CLOSE( x, ( stepper.order() - 1 ) * dt, 2E-14 ); + } +}; + +typedef mpl::vector< + euler< state_type > , + modified_midpoint< state_type > , + runge_kutta4< state_type > , + runge_kutta4_classic< state_type > , + runge_kutta_cash_karp54_classic< state_type > , + runge_kutta_cash_karp54< state_type > , + runge_kutta_dopri5< state_type > , + runge_kutta_fehlberg78< state_type > + > runge_kutta_steppers; + + +BOOST_AUTO_TEST_SUITE( regression_147_test ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( init_test , InitStepper, + runge_kutta_steppers ) +{ + perform_init_test< adams_bashforth<4, state_type>, InitStepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/regression/regression_149.cpp b/src/boost/libs/numeric/odeint/test/regression/regression_149.cpp new file mode 100644 index 000000000..2790d683f --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/regression/regression_149.cpp @@ -0,0 +1,93 @@ +/* + + [begin_description] + Test case for issue 149: + Error C2582 with msvc-10 when using iterator-based integration + [end_description] + + Copyright 2011-2015 Karsten Ahnert + Copyright 2011-2015 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) + */ + + +// disable checked iterator warning for msvc + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_regression_147 + +#include <utility> +#include <iostream> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/range/algorithm/find_if.hpp> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +typedef std::vector<double> state_type; + +void rhs( const state_type &x , state_type &dxdt , const double t ) +{ +} + + +template<class Stepper> +struct perform_test +{ + void operator()( void ) + { + bulirsch_stoer< state_type > stepper( 1e-9, 0.0, 0.0, 0.0 ); + state_type x( 3, 10.0 ); + + print( boost::find_if( + make_adaptive_time_range( stepper, rhs, x, 0.0, 1.0, 0.01 ), + pred ) ); + + } + + static bool pred( const std::pair< const state_type &, double > &x ) + { + return ( x.first[0] < 0.0 ); + } + + template<class Iterator> + void print( Iterator iter ) + { + std::cout << iter->second << "\t" << iter->first[0] << "\t" + << iter->first[1] << "\t" << iter->first[2] << "\n"; + } +}; + +typedef mpl::vector< + euler< state_type > , + runge_kutta4< state_type > , + runge_kutta_cash_karp54< state_type > , + runge_kutta_dopri5< state_type > , + runge_kutta_fehlberg78< state_type > , + bulirsch_stoer< state_type > + > steppers; + + +BOOST_AUTO_TEST_SUITE( regression_147_test ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( regression_147_test , Stepper, + steppers ) +{ + perform_test< Stepper > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/regression/regression_168.cpp b/src/boost/libs/numeric/odeint/test/regression/regression_168.cpp new file mode 100644 index 000000000..8349261a6 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/regression/regression_168.cpp @@ -0,0 +1,90 @@ +/* + + [begin_description] + Test case for issue 149: + Error C2582 with msvc-10 when using iterator-based integration + [end_description] + + Copyright 2011-2015 Karsten Ahnert + Copyright 2011-2015 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) + */ + + +// disable checked iterator warning for msvc + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_regression_147 + +#include <utility> +#include <iostream> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/range/algorithm/find_if.hpp> + +#include <boost/numeric/odeint.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra_dispatcher.hpp> + + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/fusion/container.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +namespace fusion = boost::fusion; +namespace units = boost::units; +namespace si = boost::units::si; + +typedef units::quantity< si::time , double > time_type; +typedef units::quantity< si::length , double > length_type; +typedef units::quantity< si::velocity , double > velocity_type; +typedef units::quantity< si::acceleration , double > acceleration_type; +typedef units::quantity< si::frequency , double > frequency_type; + +typedef fusion::vector< length_type , velocity_type > state_type; +typedef fusion::vector< velocity_type , acceleration_type > deriv_type; + + +struct oscillator +{ + frequency_type m_omega; + + oscillator( const frequency_type &omega = 1.0 * si::hertz ) : m_omega( omega ) { } + + void operator()( const state_type &x , deriv_type &dxdt , time_type t ) const + { + fusion::at_c< 0 >( dxdt ) = fusion::at_c< 1 >( x ); + fusion::at_c< 1 >( dxdt ) = - m_omega * m_omega * fusion::at_c< 0 >( x ); + } +}; + + +BOOST_AUTO_TEST_CASE( regression_168 ) +{ + typedef runge_kutta_dopri5< state_type , double , deriv_type , time_type > stepper_type; + + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ); + + integrate_const( make_dense_output( 1.0e-6 , 1.0e-6 , stepper_type() ) , oscillator( 2.0 * si::hertz ) , + x , 0.0 * si::second , 100.0 * si::second , 0.1 * si::second); +}
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/test/regression/regression_189.cpp b/src/boost/libs/numeric/odeint/test/regression/regression_189.cpp new file mode 100644 index 000000000..545300725 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/regression/regression_189.cpp @@ -0,0 +1,72 @@ +/* + + [begin_description] + Test case for issue 189: + Controlled Rosenbrock stepper fails to increase step size + [end_description] + + Copyright 2016 Karsten Ahnert + Copyright 2016 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) + */ + +#define BOOST_TEST_MODULE odeint_regression_189 + +#include <boost/numeric/odeint.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/phoenix/core.hpp> +#include <boost/phoenix/operator.hpp> + +using namespace boost::numeric::odeint; +namespace phoenix = boost::phoenix; + +typedef boost::numeric::ublas::vector< double > vector_type; +typedef boost::numeric::ublas::matrix< double > matrix_type; + +struct stiff_system +{ + void operator()( const vector_type &x , vector_type &dxdt , double /* t */ ) + { + dxdt[ 0 ] = -101.0 * x[ 0 ] - 100.0 * x[ 1 ]; + dxdt[ 1 ] = x[ 0 ]; + } +}; + +struct stiff_system_jacobi +{ + void operator()( const vector_type & /* x */ , matrix_type &J , const double & /* t */ , vector_type &dfdt ) + { + J( 0 , 0 ) = -101.0; + J( 0 , 1 ) = -100.0; + J( 1 , 0 ) = 1.0; + J( 1 , 1 ) = 0.0; + dfdt[0] = 0.0; + dfdt[1] = 0.0; + } +}; + + +BOOST_AUTO_TEST_CASE( regression_189 ) +{ + vector_type x( 2 , 1.0 ); + + size_t num_of_steps = integrate_const( make_dense_output< rosenbrock4< double > >( 1.0e-6 , 1.0e-6 ) , + std::make_pair( stiff_system() , stiff_system_jacobi() ) , + x , 0.0 , 50.0 , 0.01 , + std::cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << "\n" ); + // regression: number of steps should be 74 + size_t num_of_steps_expected = 74; + BOOST_CHECK_EQUAL( num_of_steps , num_of_steps_expected ); + + vector_type x2( 2 , 1.0 ); + + size_t num_of_steps2 = integrate_const( make_dense_output< runge_kutta_dopri5< vector_type > >( 1.0e-6 , 1.0e-6 ) , + stiff_system() , x2 , 0.0 , 50.0 , 0.01 , + std::cout << phoenix::arg_names::arg2 << " " << phoenix::arg_names::arg1[0] << "\n" ); + num_of_steps_expected = 1531; + BOOST_CHECK_EQUAL( num_of_steps2 , num_of_steps_expected ); +} diff --git a/src/boost/libs/numeric/odeint/test/resize.cpp b/src/boost/libs/numeric/odeint/test/resize.cpp new file mode 100644 index 000000000..db40f4bfe --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/resize.cpp @@ -0,0 +1,98 @@ +/* + [auto_generated] + libs/numeric/odeint/test/resize.cpp + + [begin_description] + This file tests the resize function of odeint. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_resize + +#include <vector> +#include <cmath> + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/util/resize.hpp> +#include <boost/fusion/include/vector.hpp> +#include <boost/fusion/include/at.hpp> +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +BOOST_AUTO_TEST_CASE( test_vector ) +{ + std::vector< double > x1( 10 ); + std::vector< double > x2; + resize( x2 , x1 ); + BOOST_CHECK( x2.size() == 10 ); +} + + +BOOST_AUTO_TEST_CASE( test_fusion_vector_of_vector ) +{ + typedef boost::fusion::vector< std::vector< double > , std::vector< double > > state_type; + state_type x1; + boost::fusion::at_c< 0 >( x1 ).resize( 10 ); + boost::fusion::at_c< 1 >( x1 ).resize( 10 ); + state_type x2; + resize( x2 , x1 ); + BOOST_CHECK( boost::fusion::at_c< 0 >( x2 ).size() == 10 ); + BOOST_CHECK( boost::fusion::at_c< 1 >( x2 ).size() == 10 ); +} + + +BOOST_AUTO_TEST_CASE( test_fusion_vector_mixed1 ) +{ + typedef boost::fusion::vector< std::vector< double > , double > state_type; + state_type x1; + boost::fusion::at_c< 0 >( x1 ).resize( 10 ); + state_type x2; + resize( x2 , x1 ); + BOOST_CHECK( boost::fusion::at_c< 0 >( x2 ).size() == 10 ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_vector_mixed2 ) +{ + typedef boost::fusion::vector< double , std::vector< double > , double > state_type; + state_type x1; + boost::fusion::at_c< 1 >( x1 ).resize( 10 ); + state_type x2; + resize( x2 , x1 ); + BOOST_CHECK( boost::fusion::at_c< 1 >( x2 ).size() == 10 ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_quantity_sequence ) +{ + namespace units = boost::units; + namespace si = boost::units::si; + + typedef double value_type; + typedef units::quantity< si::time , value_type > time_type; + typedef units::quantity< si::length , value_type > length_type; + typedef units::quantity< si::velocity , value_type > velocity_type; + typedef boost::fusion::vector< length_type , velocity_type > state_type; + + state_type x1 , x2; + resize( x2 , x1 ); +} diff --git a/src/boost/libs/numeric/odeint/test/resizing.cpp b/src/boost/libs/numeric/odeint/test/resizing.cpp new file mode 100644 index 000000000..751795195 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/resizing.cpp @@ -0,0 +1,110 @@ +/* + [auto_generated] + libs/numeric/odeint/test/resizing.cpp + + [begin_description] + This file tests the resizing mechanism of odeint. + [end_description] + + Copyright 2010-2012 Karsten Ahnert + Copyright 2010-2012 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_resize + +#include <vector> +#include <cmath> + +#include <boost/array.hpp> +#include <boost/bind.hpp> +#include <boost/utility.hpp> +#include <boost/type_traits/integral_constant.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/mpl/int.hpp> +#include <boost/mpl/at.hpp> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> + +#include <boost/numeric/odeint/util/resizer.hpp> +#include <boost/numeric/odeint/util/is_resizeable.hpp> + +#include "resizing_test_state_type.hpp" + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +namespace mpl = boost::mpl; + + + + + + +void constant_system( const test_array_type &x , test_array_type &dxdt , double t ) { dxdt[0] = 1.0; } + + +BOOST_AUTO_TEST_SUITE( check_resize_test ) + + +typedef euler< test_array_type , double , test_array_type , double , range_algebra , default_operations , never_resizer > euler_manual_type; +typedef euler< test_array_type , double , test_array_type , double , range_algebra , default_operations , initially_resizer > euler_initially_type; +typedef euler< test_array_type , double , test_array_type , double , range_algebra , default_operations , always_resizer > euler_always_type; + +typedef runge_kutta4_classic< test_array_type , double , test_array_type , double , range_algebra , default_operations , never_resizer > rk4_manual_type; +typedef runge_kutta4_classic< test_array_type , double , test_array_type , double , range_algebra , default_operations , initially_resizer > rk4_initially_type; +typedef runge_kutta4_classic< test_array_type , double , test_array_type , double , range_algebra , default_operations , always_resizer > rk4_always_type; + + +typedef runge_kutta4< test_array_type , double , test_array_type , double , range_algebra , default_operations , never_resizer > rk4_gen_manual_type; +typedef runge_kutta4< test_array_type , double , test_array_type , double , range_algebra , default_operations , initially_resizer > rk4_gen_initially_type; +typedef runge_kutta4< test_array_type , double , test_array_type , double , range_algebra , default_operations , always_resizer > rk4_gen_always_type; + + +typedef mpl::vector< + mpl::vector< euler_manual_type , mpl::int_<1> , mpl::int_<0> > , + mpl::vector< euler_initially_type , mpl::int_<1> , mpl::int_<1> > , + mpl::vector< euler_always_type , mpl::int_<1> , mpl::int_<3> > , + mpl::vector< rk4_manual_type , mpl::int_<5> , mpl::int_<0> > , + mpl::vector< rk4_initially_type , mpl::int_<5> , mpl::int_<1> > , + mpl::vector< rk4_always_type , mpl::int_<5> , mpl::int_<3> > , + mpl::vector< rk4_gen_manual_type , mpl::int_<5> , mpl::int_<0> > , + mpl::vector< rk4_gen_initially_type , mpl::int_<5> , mpl::int_<1> > , + mpl::vector< rk4_gen_always_type , mpl::int_<5> , mpl::int_<3> > + >::type resize_check_types; + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_resize , T, resize_check_types ) +{ + typedef typename mpl::at< T , mpl::int_< 0 > >::type stepper_type; + const size_t resize_calls = mpl::at< T , mpl::int_< 1 > >::type::value; + const size_t multiplicity = mpl::at< T , mpl::int_< 2 > >::type::value; + adjust_size_count = 0; + + stepper_type stepper; + test_array_type x; + stepper.do_step( constant_system , x , 0.0 , 0.1 ); + stepper.do_step( constant_system , x , 0.0 , 0.1 ); + stepper.do_step( constant_system , x , 0.0 , 0.1 ); + + BOOST_TEST_MESSAGE( "adjust_size_count : " << adjust_size_count ); + BOOST_CHECK_MESSAGE( adjust_size_count == resize_calls * multiplicity , "adjust_size_count : " << adjust_size_count << " expected: " << resize_calls * multiplicity ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/resizing_test_state_type.hpp b/src/boost/libs/numeric/odeint/test/resizing_test_state_type.hpp new file mode 100644 index 000000000..af55937ad --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/resizing_test_state_type.hpp @@ -0,0 +1,69 @@ +/* + [auto_generated] + libs/numeric/odeint/test/resizing_test_state_type.hpp + + [begin_description] + tba. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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 LIBS_NUMERIC_ODEINT_TEST_RESIZING_TEST_STATE_TYPE_HPP_DEFINED +#define LIBS_NUMERIC_ODEINT_TEST_RESIZING_TEST_STATE_TYPE_HPP_DEFINED + +#include <boost/numeric/odeint/util/is_resizeable.hpp> +#include <boost/numeric/odeint/util/resize.hpp> +#include <boost/numeric/odeint/util/same_size.hpp> + +#include <boost/array.hpp> + + + +// Mario: velocity verlet tests need arrays of size 2 +// some ugly detailed dependency, maybe this can be improved? +class test_array_type : public boost::array< double , 2 > { }; + +size_t adjust_size_count; + +namespace boost { +namespace numeric { +namespace odeint { + + template<> + struct is_resizeable< test_array_type > + { + typedef boost::true_type type; + const static bool value = type::value; + }; + + template<> + struct same_size_impl< test_array_type , test_array_type > + { + static bool same_size( const test_array_type &x1 , const test_array_type &x2 ) + { + return false; + } + }; + + template<> + struct resize_impl< test_array_type , test_array_type > + { + static void resize( test_array_type &x1 , const test_array_type &x2 ) + { + adjust_size_count++; + } + }; + +} // namespace odeint +} // namespace numeric +} // namespace boost + + +#endif // LIBS_NUMERIC_ODEINT_TEST_RESIZING_TEST_STATE_TYPE_HPP_DEFINED diff --git a/src/boost/libs/numeric/odeint/test/rosenbrock4.cpp b/src/boost/libs/numeric/odeint/test/rosenbrock4.cpp new file mode 100644 index 000000000..0b7bea4ba --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/rosenbrock4.cpp @@ -0,0 +1,173 @@ +/* + [auto_generated] + libs/numeric/odeint/test/rosenbrock4.cpp + + [begin_description] + This file tests the Rosenbrock 4 stepper and its controller and dense output stepper. + [end_description] + + Copyright 2011-2012 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_rosenbrock4 + +#include <utility> +#include <iostream> + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/rosenbrock4.hpp> +#include <boost/numeric/odeint/stepper/rosenbrock4_controller.hpp> +#include <boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp> + +#include <boost/numeric/ublas/vector.hpp> +#include <boost/numeric/ublas/matrix.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; +typedef boost::numeric::ublas::vector< value_type > state_type; +typedef boost::numeric::ublas::matrix< value_type > matrix_type; + + +struct sys +{ + void operator()( const state_type &x , state_type &dxdt , const value_type &t ) const + { + dxdt( 0 ) = x( 0 ) + 2 * x( 1 ); + dxdt( 1 ) = x( 1 ); + } +}; + +struct jacobi +{ + void operator()( const state_type &x , matrix_type &jacobi , const value_type &t , state_type &dfdt ) const + { + jacobi( 0 , 0 ) = 1; + jacobi( 0 , 1 ) = 2; + jacobi( 1 , 0 ) = 0; + jacobi( 1 , 1 ) = 1; + dfdt( 0 ) = 0.0; + dfdt( 1 ) = 0.0; + } +}; + +BOOST_AUTO_TEST_SUITE( rosenbrock4_test ) + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_stepper ) +{ + typedef rosenbrock4< value_type > stepper_type; + stepper_type stepper; + + typedef stepper_type::state_type state_type; + typedef stepper_type::value_type stepper_value_type; + typedef stepper_type::deriv_type deriv_type; + typedef stepper_type::time_type time_type; + + state_type x( 2 ) , xerr( 2 ); + x(0) = 0.0; x(1) = 1.0; + + stepper.do_step( std::make_pair( sys() , jacobi() ) , x , 0.0 , 0.1 , xerr ); + + stepper.do_step( std::make_pair( sys() , jacobi() ) , x , 0.0 , 0.1 ); + +// using std::abs; +// value_type eps = 1E-12; +// +// // compare with analytic solution of above system +// BOOST_CHECK_SMALL( abs( x(0) - 20.0/81.0 ) , eps ); +// BOOST_CHECK_SMALL( abs( x(1) - 10.0/9.0 ) , eps ); + +} + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_controller ) +{ + typedef rosenbrock4_controller< rosenbrock4< value_type > > stepper_type; + stepper_type stepper; + + typedef stepper_type::state_type state_type; + typedef stepper_type::value_type stepper_value_type; + typedef stepper_type::deriv_type deriv_type; + typedef stepper_type::time_type time_type; + + state_type x( 2 ); + x( 0 ) = 0.0 ; x(1) = 1.0; + + value_type t = 0.0 , dt = 0.01; + stepper.try_step( std::make_pair( sys() , jacobi() ) , x , t , dt ); +} + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_dense_output ) +{ + typedef rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4< value_type > > > stepper_type; + typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type; + controlled_stepper_type c_stepper; + stepper_type stepper( c_stepper ); + + typedef stepper_type::state_type state_type; + typedef stepper_type::value_type stepper_value_type; + typedef stepper_type::deriv_type deriv_type; + typedef stepper_type::time_type time_type; + state_type x( 2 ); + x( 0 ) = 0.0 ; x(1) = 1.0; + stepper.initialize( x , 0.0 , 0.1 ); + std::pair< value_type , value_type > tr = stepper.do_step( std::make_pair( sys() , jacobi() ) ); + stepper.calc_state( 0.5 * ( tr.first + tr.second ) , x ); +} + +class rosenbrock4_controller_max_dt_adaptable : public rosenbrock4_controller< rosenbrock4< value_type > > +{ + public: + void set_max_dt(value_type max_dt) + { + m_max_dt = max_dt; + } +}; + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_dense_output_ref ) +{ + typedef rosenbrock4_dense_output< boost::reference_wrapper< rosenbrock4_controller_max_dt_adaptable > > stepper_type; + rosenbrock4_controller_max_dt_adaptable c_stepper; + stepper_type stepper( boost::ref( c_stepper ) ); + + typedef stepper_type::state_type state_type; + typedef stepper_type::value_type stepper_value_type; + typedef stepper_type::deriv_type deriv_type; + typedef stepper_type::time_type time_type; + state_type x( 2 ); + x( 0 ) = 0.0 ; x(1) = 1.0; + stepper.initialize( x , 0.0 , 0.1 ); + std::pair< value_type , value_type > tr = stepper.do_step( std::make_pair( sys() , jacobi() ) ); + stepper.calc_state( 0.5 * ( tr.first + tr.second ) , x ); + + // adapt the maximal step size to a small value (smaller than the step size) and make a step + const double max_dt = 1e-8; + c_stepper.set_max_dt(max_dt); + stepper.do_step( std::make_pair( sys() , jacobi() ) ); + // check if the step was done with the requested maximal step size + BOOST_CHECK_CLOSE(max_dt, stepper.current_time_step(), 1e-14); +} + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_copy_dense_output ) +{ + typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type; + typedef rosenbrock4_dense_output< controlled_stepper_type > stepper_type; + + controlled_stepper_type c_stepper; + stepper_type stepper( c_stepper ); + stepper_type stepper2( stepper ); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/rosenbrock4_mp.cpp b/src/boost/libs/numeric/odeint/test/rosenbrock4_mp.cpp new file mode 100644 index 000000000..dc295c473 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/rosenbrock4_mp.cpp @@ -0,0 +1,143 @@ +/* + [auto_generated] + libs/numeric/odeint/test/rosenbrock4.cpp + + [begin_description] + This file tests the Rosenbrock 4 stepper and its controller and dense output stepper. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_rosenbrock4 + +#include <utility> +#include <iostream> + +#include <boost/test/unit_test.hpp> +#include <boost/multiprecision/cpp_dec_float.hpp> + +#include <boost/numeric/odeint/stepper/rosenbrock4.hpp> +#include <boost/numeric/odeint/stepper/rosenbrock4_controller.hpp> +#include <boost/numeric/odeint/stepper/rosenbrock4_dense_output.hpp> + +#include <boost/numeric/ublas/vector.hpp> +#include <boost/numeric/ublas/matrix.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef boost::multiprecision::cpp_dec_float_50 value_type; +typedef boost::numeric::ublas::vector< value_type > state_type; +typedef boost::numeric::ublas::matrix< value_type > matrix_type; + + +struct sys +{ + void operator()( const state_type &x , state_type &dxdt , const value_type &t ) const + { + dxdt( 0 ) = x( 0 ) + 2 * x( 1 ); + dxdt( 1 ) = x( 1 ); + } +}; + +struct jacobi +{ + void operator()( const state_type &x , matrix_type &jacobi , const value_type &t , state_type &dfdt ) const + { + jacobi( 0 , 0 ) = 1; + jacobi( 0 , 1 ) = 2; + jacobi( 1 , 0 ) = 0; + jacobi( 1 , 1 ) = 1; + dfdt( 0 ) = 0.0; + dfdt( 1 ) = 0.0; + } +}; + +BOOST_AUTO_TEST_SUITE( rosenbrock4_test ) + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_stepper ) +{ + typedef rosenbrock4< value_type > stepper_type; + stepper_type stepper; + + typedef stepper_type::state_type state_type; + typedef stepper_type::value_type stepper_value_type; + typedef stepper_type::deriv_type deriv_type; + typedef stepper_type::time_type time_type; + + state_type x( 2 ) , xerr( 2 ); + x(0) = 0.0; x(1) = 1.0; + + stepper.do_step( std::make_pair( sys() , jacobi() ) , x , + static_cast<value_type>(0.0) , static_cast<value_type>(0.1) , xerr ); + + stepper.do_step( std::make_pair( sys() , jacobi() ) , x , + static_cast<value_type>(0.0) , static_cast<value_type>(0.1) ); + +// using std::abs; +// value_type eps = 1E-12; +// +// // compare with analytic solution of above system +// BOOST_CHECK_SMALL( abs( x(0) - 20.0/81.0 ) , eps ); +// BOOST_CHECK_SMALL( abs( x(1) - 10.0/9.0 ) , eps ); + +} + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_controller ) +{ + typedef rosenbrock4_controller< rosenbrock4< value_type > > stepper_type; + stepper_type stepper; + + typedef stepper_type::state_type state_type; + typedef stepper_type::value_type stepper_value_type; + typedef stepper_type::deriv_type deriv_type; + typedef stepper_type::time_type time_type; + + state_type x( 2 ); + x( 0 ) = 0.0 ; x(1) = 1.0; + + value_type t = 0.0 , dt = 0.01; + stepper.try_step( std::make_pair( sys() , jacobi() ) , x , t , dt ); +} + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_dense_output ) +{ + typedef rosenbrock4_dense_output< rosenbrock4_controller< rosenbrock4< value_type > > > stepper_type; + typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type; + controlled_stepper_type c_stepper; + stepper_type stepper( c_stepper ); + + typedef stepper_type::state_type state_type; + typedef stepper_type::value_type stepper_value_type; + typedef stepper_type::deriv_type deriv_type; + typedef stepper_type::time_type time_type; + state_type x( 2 ); + x( 0 ) = 0.0 ; x(1) = 1.0; + stepper.initialize( x , 0.0 , 0.1 ); + std::pair< value_type , value_type > tr = stepper.do_step( std::make_pair( sys() , jacobi() ) ); + stepper.calc_state( 0.5 * ( tr.first + tr.second ) , x ); +} + +BOOST_AUTO_TEST_CASE( test_rosenbrock4_copy_dense_output ) +{ + typedef rosenbrock4_controller< rosenbrock4< value_type > > controlled_stepper_type; + typedef rosenbrock4_dense_output< controlled_stepper_type > stepper_type; + + controlled_stepper_type c_stepper; + stepper_type stepper( c_stepper ); + stepper_type stepper2( stepper ); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/runge_kutta_concepts.cpp b/src/boost/libs/numeric/odeint/test/runge_kutta_concepts.cpp new file mode 100644 index 000000000..42235dea4 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/runge_kutta_concepts.cpp @@ -0,0 +1,217 @@ +/* + [auto_generated] + libs/numeric/odeint/test/runge_kutta_concepts.cpp + + [begin_description] + This file tests the Stepper concepts of odeint with all Runge-Kutta steppers. It's one of the main tests + of odeint. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012-2013 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_runge_kutta_concepts + +#include <vector> +#include <cmath> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/ref.hpp> +#include <boost/bind.hpp> +#include <boost/utility.hpp> +#include <boost/type_traits/add_reference.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/mpl/for_each.hpp> +#include <boost/mpl/insert_range.hpp> +#include <boost/mpl/end.hpp> +#include <boost/mpl/copy.hpp> +#include <boost/mpl/placeholders.hpp> +#include <boost/mpl/inserter.hpp> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/stepper/modified_midpoint.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.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/runge_kutta_fehlberg78.hpp> + +#include <boost/numeric/odeint/algebra/detail/extract_value_type.hpp> + +#include "prepare_stepper_testing.hpp" +#include "dummy_odes.hpp" + +using std::vector; + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +const double result = 2.2; + +const double eps = 1.0e-14; + +template< class Stepper , class System > +void check_stepper_concept( Stepper &stepper , System system , typename Stepper::state_type &x ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::deriv_type container_type; + typedef typename stepper_type::order_type order_type; + typedef typename stepper_type::time_type time_type; + + stepper.do_step( system , x , static_cast<time_type>(0.0) , static_cast<time_type>(0.1) ); +} + +// default case is used for vector space types like plain double +template< class Stepper , typename T > +struct perform_stepper_test +{ + typedef T vector_space_type; + void operator()( void ) const + { + using std::abs; + vector_space_type x; + x = 2.0; + Stepper stepper; + constant_system_functor_vector_space sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_stepper_concept( stepper , constant_system_vector_space< vector_space_type , vector_space_type , typename Stepper::time_type > , x ); +#else + check_stepper_concept( stepper , boost::cref( sys ) , x ); +#endif + check_stepper_concept( stepper , boost::cref( sys ) , x ); + std::cout << x << " ?= " << result << std::endl; + BOOST_CHECK( (abs( x - result )) < eps ); + } +}; + +template< class Stepper , typename T > +struct perform_stepper_test< Stepper , std::vector<T> > +{ + typedef std::vector<T> vector_type; + void operator()( void ) + { + using std::abs; + vector_type x( 1 , static_cast<T>(2.0) ); + Stepper stepper; + constant_system_functor_standard sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_stepper_concept( stepper , constant_system_standard< vector_type , vector_type , typename Stepper::time_type > , x ); +#else + check_stepper_concept( stepper , boost::cref( sys ) , x ); +#endif + check_stepper_concept( stepper , boost::cref( sys ) , x ); + std::cout << x[0] << " ?= " << result << std::endl; + BOOST_CHECK( (abs( x[0] - result )) < eps ); + } +}; + +template< class Stepper , typename T > +struct perform_stepper_test< Stepper , boost::array<T,1> > +{ + typedef boost::array<T,1> array_type; + void operator()( void ) + { + using std::abs; + array_type x; + x[0] = static_cast<T>(2.0); + Stepper stepper; + constant_system_functor_standard sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_stepper_concept( stepper , constant_system_standard< array_type , array_type , typename Stepper::time_type > , x ); +#else + check_stepper_concept( stepper , boost::cref( sys ) , x ); +#endif + check_stepper_concept( stepper , boost::cref( sys ) , x ); + std::cout << x[0] << " ?= " << result << std::endl; + BOOST_CHECK( (abs( x[0] - result )) < eps ); + } +}; + +// split stepper methods to ensure the final vector has less than 30(?) elements +// (stepper_methods*container_types) < 30(?) +template< class State > class stepper_methods1 : public mpl::vector< + euler< State , typename detail::extract_value_type<State>::type > , + modified_midpoint< State , typename detail::extract_value_type<State>::type > , + runge_kutta4< State , typename detail::extract_value_type<State>::type > , + runge_kutta4_classic< State , typename detail::extract_value_type<State>::type > + > { }; + +template< class State > class stepper_methods2 : public mpl::vector< + runge_kutta_cash_karp54_classic< State , typename detail::extract_value_type<State>::type > , + runge_kutta_cash_karp54< State , typename detail::extract_value_type<State>::type > , + runge_kutta_dopri5< State , typename detail::extract_value_type<State>::type > , + runge_kutta_fehlberg78< State , typename detail::extract_value_type<State>::type > + > { }; + + + +typedef mpl::copy +< + container_types , + mpl::inserter + < + mpl::vector0<> , + mpl::insert_range + < + mpl::_1 , + mpl::end< mpl::_1 > , + stepper_methods1< mpl::_2 > + > + > +>::type stepper_combinations1; + +typedef mpl::copy +< + container_types , + mpl::inserter + < + mpl::vector0<> , + mpl::insert_range + < + mpl::_1 , + mpl::end< mpl::_1 > , + stepper_methods2< mpl::_2 > + > + > +>::type stepper_combinations2; + + +BOOST_AUTO_TEST_SUITE( runge_kutta_concept_test ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_test1 , Stepper, stepper_combinations1 ) +{ + perform_stepper_test< Stepper , typename Stepper::deriv_type > tester; + tester(); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_test2 , Stepper, stepper_combinations2 ) +{ + perform_stepper_test< Stepper , typename Stepper::deriv_type > tester; + tester(); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/runge_kutta_controlled_concepts.cpp b/src/boost/libs/numeric/odeint/test/runge_kutta_controlled_concepts.cpp new file mode 100644 index 000000000..7f70cc533 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/runge_kutta_controlled_concepts.cpp @@ -0,0 +1,212 @@ +/* + [auto_generated] + libs/numeric/odeint/test/runge_kutta_controlled_concepts.cpp + + [begin_description] + This file tests the Stepper concepts of odeint with all Controlled Runge-Kutta steppers. + It's one of the main tests of odeint. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012-2013 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_runge_kutta_controlled_concepts + +#include <vector> +#include <cmath> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/ref.hpp> +#include <boost/bind.hpp> +#include <boost/utility.hpp> +#include <boost/type_traits/add_reference.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/mpl/for_each.hpp> +#include <boost/mpl/insert_range.hpp> +#include <boost/mpl/end.hpp> +#include <boost/mpl/copy.hpp> +#include <boost/mpl/placeholders.hpp> +#include <boost/mpl/inserter.hpp> + +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.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/runge_kutta_fehlberg78.hpp> +#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp> + +#include "prepare_stepper_testing.hpp" +#include "dummy_odes.hpp" + +using std::vector; + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +const double result = 2.2; // two steps + +const double eps = 1.0e-14; + +template< class Stepper , class System > +void check_controlled_stepper_concept( Stepper &stepper , System system , typename Stepper::state_type &x ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::deriv_type container_type; + //typedef typename stepper_type::order_type order_type; controlled_error_stepper don't necessarily have a order (burlish-stoer) + typedef typename stepper_type::time_type time_type; + + time_type t = 0.0 , dt = 0.1; + controlled_step_result step_result = stepper.try_step( system , x , t , dt ); + + BOOST_CHECK_MESSAGE( step_result == success , "step result: " << step_result ); // error = 0 for constant system -> step size is always too small +} + + +template< class ControlledStepper , typename T > +struct perform_controlled_stepper_test +{ + typedef T vector_space_type; + void operator()( void ) const + { + using std::abs; + vector_space_type x; + x = 2.0; + ControlledStepper controlled_stepper; + constant_system_functor_vector_space sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_controlled_stepper_concept( controlled_stepper , + constant_system_vector_space< vector_space_type , vector_space_type , typename ControlledStepper::time_type > + , x ); +#else + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); +#endif + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); + BOOST_CHECK( (abs( x - result )) < eps ); + } +}; + +template< class ControlledStepper , typename T > +struct perform_controlled_stepper_test< ControlledStepper , std::vector<T> > +{ + typedef std::vector<T> vector_type; + void operator()( void ) + { + using std::abs; + vector_type x( 1 , 2.0 ); + ControlledStepper controlled_stepper; + constant_system_functor_standard sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + + check_controlled_stepper_concept( controlled_stepper , + constant_system_standard< vector_type , vector_type , typename ControlledStepper::time_type > , + x ); +#else + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); +#endif + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); + BOOST_CHECK( (abs( x[0] - result )) < eps ); + } +}; + + +template< class ControlledStepper > +struct perform_controlled_stepper_test< ControlledStepper , vector_space_type > +{ + void operator()( void ) const + { + using std::abs; + vector_space_type x; + x = 2.0; + ControlledStepper controlled_stepper; + constant_system_functor_vector_space sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_controlled_stepper_concept( controlled_stepper , + constant_system_vector_space< vector_space_type , vector_space_type , typename ControlledStepper::time_type > + , x ); +#else + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); +#endif + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); + BOOST_CHECK( (abs( x - result )) < eps ); + } +}; + +template< class ControlledStepper , typename T > +struct perform_controlled_stepper_test< ControlledStepper , boost::array<T,1> > +{ + typedef boost::array<T,1> array_type; + void operator()( void ) + { + using std::abs; + array_type x; + x[0] = 2.0; + ControlledStepper controlled_stepper; + constant_system_functor_standard sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_controlled_stepper_concept( controlled_stepper , constant_system_standard< array_type , array_type , typename ControlledStepper::time_type > , x ); +#else + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); +#endif + check_controlled_stepper_concept( controlled_stepper , boost::cref( sys ) , x ); + BOOST_CHECK( (abs( x[0] - result )) < eps ); + } +}; + + +template< class State > class controlled_stepper_methods : public mpl::vector< + controlled_runge_kutta< runge_kutta_cash_karp54_classic< State , typename detail::extract_value_type<State>::type > > , + controlled_runge_kutta< runge_kutta_dopri5< State , typename detail::extract_value_type<State>::type > > , + controlled_runge_kutta< runge_kutta_fehlberg78< State , typename detail::extract_value_type<State>::type > > , + bulirsch_stoer< State , typename detail::extract_value_type<State>::type > + > { }; + +typedef mpl::copy +< + container_types , + mpl::inserter + < + mpl::vector0<> , + mpl::insert_range + < + mpl::_1 , + mpl::end< mpl::_1 > , + controlled_stepper_methods< mpl::_2 > + > + > + >::type all_controlled_stepper_methods; + + + + +BOOST_AUTO_TEST_SUITE( controlled_runge_kutta_concept_test ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( controlled_stepper_test , ControlledStepper , all_controlled_stepper_methods ) +{ + perform_controlled_stepper_test< ControlledStepper , typename ControlledStepper::state_type > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/runge_kutta_error_concepts.cpp b/src/boost/libs/numeric/odeint/test/runge_kutta_error_concepts.cpp new file mode 100644 index 000000000..06980772a --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/runge_kutta_error_concepts.cpp @@ -0,0 +1,182 @@ +/* + [auto_generated] + libs/numeric/odeint/test/runge_kutta_error_concepts.cpp + + [begin_description] + This file tests the Stepper concepts of odeint with all Runge-Kutta Error steppers. + It's one of the main tests of odeint. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012-2013 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_runge_kutta_error_concepts + +#include <vector> +#include <cmath> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/array.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/ref.hpp> +#include <boost/bind.hpp> +#include <boost/utility.hpp> +#include <boost/type_traits/add_reference.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/mpl/for_each.hpp> +#include <boost/mpl/insert_range.hpp> +#include <boost/mpl/end.hpp> +#include <boost/mpl/copy.hpp> +#include <boost/mpl/placeholders.hpp> +#include <boost/mpl/inserter.hpp> + +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.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/runge_kutta_fehlberg78.hpp> + +#include "prepare_stepper_testing.hpp" +#include "dummy_odes.hpp" + +using std::vector; + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; + +const double result = 2.4; // four steps total... + +const double eps = 1.0e-14; + +template< class Stepper , class System > +void check_error_stepper_concept( Stepper &stepper , System system , typename Stepper::state_type &x , typename Stepper::state_type &xerr ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::deriv_type container_type; + typedef typename stepper_type::order_type order_type; + typedef typename stepper_type::time_type time_type; + + stepper.do_step( system , x , static_cast<time_type>(0.0) , static_cast<time_type>(0.1) ); + stepper.do_step( system , x , static_cast<time_type>(0.0) , static_cast<time_type>(0.1) , xerr ); +} + +// default case is used for vector space types like plain double +template< class Stepper , typename T > +struct perform_error_stepper_test +{ + typedef T vector_space_type; + void operator()( void ) const + { + using std::abs; + vector_space_type x , xerr; + x = 2.0; + Stepper stepper; + constant_system_functor_vector_space sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_error_stepper_concept( stepper , + constant_system_vector_space< vector_space_type , vector_space_type , typename Stepper::time_type > , + x , + xerr ); +#else + check_error_stepper_concept( stepper , boost::cref( sys ) , x , xerr ); +#endif + check_error_stepper_concept( stepper , boost::cref( sys ) , x , xerr ); + + BOOST_CHECK_MESSAGE( (abs( x - result )) < eps , x ); + } +}; + +template< class Stepper , typename T > +struct perform_error_stepper_test< Stepper , std::vector<T> > +{ + typedef std::vector<T> vector_type; + void operator()( void ) + { + using std::abs; + vector_type x( 1 , 2.0 ) , xerr( 1 ); + Stepper stepper; + constant_system_functor_standard sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_error_stepper_concept( stepper , constant_system_standard< vector_type , vector_type , typename Stepper::time_type > , x , xerr ); +#else + check_error_stepper_concept( stepper , boost::cref( sys ) , x , xerr ); +#endif + check_error_stepper_concept( stepper , boost::cref( sys ) , x , xerr ); + BOOST_CHECK( (abs( x[0] - result )) < eps ); + } +}; + + +template< class Stepper , typename T > +struct perform_error_stepper_test< Stepper , boost::array<T,1> > +{ + typedef boost::array<T,1> array_type; + void operator()( void ) + { + using std::abs; + array_type x , xerr; + x[0] = 2.0; + Stepper stepper; + constant_system_functor_standard sys; +#ifndef _MSC_VER + // dont run this for MSVC due to compiler bug 697006 + check_error_stepper_concept( stepper , constant_system_standard< array_type , array_type , typename Stepper::time_type > , x , xerr ); +#else + check_error_stepper_concept( stepper , boost::cref( sys ) , x , xerr ); +#endif + check_error_stepper_concept( stepper , boost::cref( sys ) , x , xerr ); + BOOST_CHECK( (abs( x[0] - result )) < eps ); + } +}; + +template< class State > class error_stepper_methods : public mpl::vector< + runge_kutta_cash_karp54_classic< State , typename detail::extract_value_type<State>::type > , + runge_kutta_cash_karp54< State , typename detail::extract_value_type<State>::type > , + runge_kutta_dopri5< State , typename detail::extract_value_type<State>::type > , + runge_kutta_fehlberg78< State , typename detail::extract_value_type<State>::type > + > { }; + + +typedef mpl::copy +< + container_types , + mpl::inserter + < + mpl::vector0<> , + mpl::insert_range + < + mpl::_1 , + mpl::end< mpl::_1 > , + error_stepper_methods< mpl::_2 > + > + > + >::type all_error_stepper_methods; + + +BOOST_AUTO_TEST_SUITE( runge_kutta_error_concept_test ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( error_stepper_test , Stepper , all_error_stepper_methods ) +{ + perform_error_stepper_test< Stepper , typename Stepper::state_type > tester; + tester(); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/same_size.cpp b/src/boost/libs/numeric/odeint/test/same_size.cpp new file mode 100644 index 000000000..09a04c199 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/same_size.cpp @@ -0,0 +1,65 @@ +/* + [auto_generated] + libs/numeric/odeint/test/same_size.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 2012 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_dummy + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/util/same_size.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + + +BOOST_AUTO_TEST_SUITE( same_size_test ) + +BOOST_AUTO_TEST_CASE( test_vector_true ) +{ + std::vector< double > v1( 10 ) , v2( 10 ); + BOOST_CHECK_EQUAL( true , same_size( v1 , v2 ) ); +} + + +BOOST_AUTO_TEST_CASE( test_vector_false ) +{ + std::vector< double > v1( 10 ) , v2( 20 ); + BOOST_CHECK_EQUAL( false , same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_true ) +{ + boost::fusion::vector< double , std::vector< double > > v1 , v2; + boost::fusion::at_c< 1 >( v1 ).resize( 10 ); + boost::fusion::at_c< 1 >( v2 ).resize( 10 ); + BOOST_CHECK_EQUAL( true , same_size( v1 , v2 ) ); +} + +BOOST_AUTO_TEST_CASE( test_fusion_false ) +{ + boost::fusion::vector< double , std::vector< double > > v1 , v2; + boost::fusion::at_c< 1 >( v1 ).resize( 10 ); + boost::fusion::at_c< 1 >( v2 ).resize( 20 ); + BOOST_CHECK_EQUAL( false , same_size( v1 , v2 ) ); +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/split.cpp b/src/boost/libs/numeric/odeint/test/split.cpp new file mode 100644 index 000000000..b8f056be9 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/split.cpp @@ -0,0 +1,68 @@ +/* + [auto_generated] + libs/numeric/odeint/test/split.cpp + + [begin_description] + Test the range split. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + 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_split + +#include <iostream> + +#include <boost/test/unit_test.hpp> +#include <boost/numeric/odeint/util/split_adaptor.hpp> +#include <boost/range/irange.hpp> + +template<class T> +inline void dump_range(const T &r) { + std::cout << '['; + std::copy(boost::begin(r), boost::end(r), std::ostream_iterator< + typename std::iterator_traits< + typename boost::range_iterator<const T>::type + >::value_type >(std::cout, " ") ); + std::cout << ']'; +} + +template<class A, class B> +inline void check_equal_range(const A a, const B b) { + BOOST_CHECK_EQUAL_COLLECTIONS( boost::begin(a), boost::end(a), boost::begin(b), boost::end(b) ); +} + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint::detail; +using namespace boost; + +BOOST_AUTO_TEST_CASE( test_eleven ) +{ + // 0 1 2 3 | 4 5 6 7 | 8 9 10 11 + check_equal_range( irange(0, 12) | split(0, 3), irange(0, 4) ); + check_equal_range( irange(0, 12) | split(1, 3), irange(4, 8) ); + check_equal_range( irange(0, 12) | split(2, 3), irange(8, 12) ); +} + +BOOST_AUTO_TEST_CASE( test_ten ) +{ + // 0 1 2 3 | 4 5 6 7 | 8 9 10 + check_equal_range( irange(0, 11) | split(0, 3), irange(0, 4) ); + check_equal_range( irange(0, 11) | split(1, 3), irange(4, 8) ); + check_equal_range( irange(0, 11) | split(2, 3), irange(8, 11) ); +} + +BOOST_AUTO_TEST_CASE( test_nine ) +{ + // 0 1 2 3 | 4 5 6 | 7 8 9 + check_equal_range( irange(0, 10) | split(0, 3), irange(0, 4) ); + check_equal_range( irange(0, 10) | split(1, 3), irange(4, 7) ); + check_equal_range( irange(0, 10) | split(2, 3), irange(7, 10) ); +} diff --git a/src/boost/libs/numeric/odeint/test/std_array.cpp b/src/boost/libs/numeric/odeint/test/std_array.cpp new file mode 100644 index 000000000..350a387a8 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/std_array.cpp @@ -0,0 +1,57 @@ +/* + [auto_generated] + test/std_array.cpp + + [begin_description] + Checks if odeint compiles fine with the std::array using the array algebra + [end_description] + + Copyright 2009-2014 Karsten Ahnert + Copyright 2009-2014 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) + */ + + +#define BOOST_TEST_MODULE odeint_std_array + +#include <array> +#include <boost/numeric/odeint.hpp> +#include <boost/static_assert.hpp> +#include <boost/type_traits/is_same.hpp> +#include <boost/test/unit_test.hpp> + +using namespace boost::unit_test; + +typedef std::array<double, 3> state_type; + +void rhs(const state_type &x, state_type &dxdt, const double t) +{ +} + +BOOST_AUTO_TEST_SUITE( unwrap_reference_test ) + +BOOST_AUTO_TEST_CASE( test_case ) +{ + state_type x = {0.0, 0.0, 0.0}; + + typedef boost::numeric::odeint::runge_kutta4<state_type> stepper_type; +// check if array algebra is selected, but only if odeint detects c++11 +#ifdef BOOST_NUMERIC_ODEINT_CXX11 + BOOST_STATIC_ASSERT(( boost::is_same< stepper_type::algebra_type , + boost::numeric::odeint::array_algebra >::value )); +#endif + stepper_type stepper1; + stepper1.do_step(rhs, x, 0.0, 0.1); + + boost::numeric::odeint::runge_kutta4< + state_type, double, state_type, double, + boost::numeric::odeint::array_algebra > stepper; + stepper.do_step(rhs, x, 0.0, 0.1); + +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/step_size_limitation.cpp b/src/boost/libs/numeric/odeint/test/step_size_limitation.cpp new file mode 100644 index 000000000..2d8e4725d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/step_size_limitation.cpp @@ -0,0 +1,268 @@ +/* + [auto_generated] + libs/numeric/odeint/test/step_size_limitation.cpp + + [begin_description] + Tests the step size limitation functionality + [end_description] + + Copyright 2015 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) + */ + +#define BOOST_TEST_MODULE odeint_integrate_times + +#include <boost/test/unit_test.hpp> + +#include <utility> +#include <iostream> +#include <vector> + +#include <boost/numeric/odeint.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef double value_type; +typedef std::vector< value_type > state_type; + +/*********************************************** + * first part of the tests: explicit methods + *********************************************** + */ + +void damped_osc( const state_type &x , state_type &dxdt , const value_type t ) +{ + const value_type gam( 0.1); + + dxdt[0] = x[1]; + dxdt[1] = -x[0] - gam*x[1]; +} + + +struct push_back_time +{ + std::vector< double >& m_times; + + push_back_time( std::vector< double > × ) + : m_times( times ) { } + + template<typename State> + void operator()( const State &x , double t ) + { + m_times.push_back( t ); + } +}; + +BOOST_AUTO_TEST_SUITE( step_size_limitation_test ) + +BOOST_AUTO_TEST_CASE( test_step_adjuster ) +{ + // first use adjuster without step size limitation + default_step_adjuster<double, double> step_adjuster; + const double dt = 0.1; + double dt_new = step_adjuster.decrease_step(dt, 1.5, 2); + BOOST_CHECK(dt_new < dt*2.0/3.0); + + dt_new = step_adjuster.increase_step(dt, 0.8, 1); + // for errors > 0.5 no increase is performed + BOOST_CHECK(dt_new == dt); + + dt_new = step_adjuster.increase_step(dt, 0.4, 1); + // smaller errors should lead to step size increase + std::cout << dt_new << std::endl; + BOOST_CHECK(dt_new > dt); + + + // now test with step size limitation max_dt = 0.1 + default_step_adjuster<double, double> + limited_adjuster(dt); + + dt_new = limited_adjuster.decrease_step(dt, 1.5, 2); + // decreasing works as before + BOOST_CHECK(dt_new < dt*2.0/3.0); + + dt_new = limited_adjuster.decrease_step(2*dt, 1.1, 2); + // decreasing a large step size should give max_dt + BOOST_CHECK(dt_new == dt); + + dt_new = limited_adjuster.increase_step(dt, 0.8, 1); + // for errors > 0.5 no increase is performed, still valid + BOOST_CHECK(dt_new == dt); + + dt_new = limited_adjuster.increase_step(dt, 0.4, 1); + // but even for smaller errors, we should at most get 0.1 + BOOST_CHECK_EQUAL(dt_new, dt); + + dt_new = limited_adjuster.increase_step(0.9*dt, 0.1, 1); + std::cout << dt_new << std::endl; + // check that we don't increase beyond max_dt + BOOST_CHECK(dt_new == dt); +} + + +template<class Stepper> +void test_explicit_stepper(Stepper stepper, const double max_dt) +{ + state_type x( 2 ); + x[0] = x[1] = 10.0; + const size_t steps = 100; + + std::vector<double> times; + + integrate_adaptive(stepper, damped_osc, x, 0.0, steps*max_dt, max_dt, push_back_time(times)); + + BOOST_CHECK_EQUAL(times.size(), steps+1); + // check that dt remains at exactly max_dt + for( size_t i=0 ; i<times.size() ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL( times[i] - static_cast<double>(i)*max_dt , 1E-15); + times.clear(); + + // this should also work when we provide some bigger initial dt + integrate_adaptive(stepper, damped_osc, x, 0.0, steps*max_dt, 10*max_dt, push_back_time(times)); + + BOOST_CHECK_EQUAL(times.size(), steps+1); + // check that dt remains at exactly max_dt + for( size_t i=0 ; i<times.size() ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL( times[i] - static_cast<double>(i)*max_dt , 1E-15); + times.clear(); +} + + +BOOST_AUTO_TEST_CASE( test_controlled ) +{ + const double max_dt = 0.01; + + test_explicit_stepper(make_controlled(1E-2, 1E-2, max_dt, + runge_kutta_dopri5<state_type>()), + max_dt); + test_explicit_stepper(make_controlled(1E-2, 1E-2, -max_dt, + runge_kutta_dopri5<state_type>()), + -max_dt); + + test_explicit_stepper(make_controlled(1E-2, 1E-2, max_dt, + runge_kutta_cash_karp54<state_type>()), + max_dt); + test_explicit_stepper(make_controlled(1E-2, 1E-2, -max_dt, + runge_kutta_cash_karp54<state_type>()), + -max_dt); + + test_explicit_stepper(bulirsch_stoer<state_type>(1E-2, 1E-2, 1.0, 1.0, max_dt), + max_dt); + test_explicit_stepper(bulirsch_stoer<state_type>(1E-2, 1E-2, 1.0, 1.0, -max_dt), + -max_dt); +} + + +BOOST_AUTO_TEST_CASE( test_dense_out ) +{ + const double max_dt = 0.01; + test_explicit_stepper(make_dense_output(1E-2, 1E-2, max_dt, + runge_kutta_dopri5<state_type>()), + max_dt); + test_explicit_stepper(make_dense_output(1E-2, 1E-2, -max_dt, + runge_kutta_dopri5<state_type>()), + -max_dt); + + test_explicit_stepper(bulirsch_stoer_dense_out<state_type>(1E-2, 1E-2, 1, 1, max_dt), + max_dt); + + test_explicit_stepper(bulirsch_stoer_dense_out<state_type>(1E-2, 1E-2, 1, 1, -max_dt), + -max_dt); +} + + +/*********************************************** + * second part of the tests: implicit Rosenbrock + *********************************************** + */ + +typedef boost::numeric::ublas::vector< value_type > vector_type; +typedef boost::numeric::ublas::matrix< value_type > matrix_type; + + +// harmonic oscillator, analytic solution x[0] = sin( t ) +struct osc_rhs +{ + void operator()( const vector_type &x , vector_type &dxdt , const value_type &t ) const + { + dxdt( 0 ) = x( 1 ); + dxdt( 1 ) = -x( 0 ); + } +}; + +struct osc_jacobi +{ + void operator()( const vector_type &x , matrix_type &jacobi , const value_type &t , vector_type &dfdt ) const + { + jacobi( 0 , 0 ) = 0; + jacobi( 0 , 1 ) = 1; + jacobi( 1 , 0 ) = -1; + jacobi( 1 , 1 ) = 0; + dfdt( 0 ) = 0.0; + dfdt( 1 ) = 0.0; + } +}; + + +template<class Stepper> +void test_rosenbrock_stepper(Stepper stepper, const double max_dt) +{ + vector_type x( 2 ); + x(0) = x(1) = 10.0; + const size_t steps = 100; + + std::vector<double> times; + + integrate_adaptive(stepper, + std::make_pair(osc_rhs(), osc_jacobi()), + x, 0.0, steps*max_dt, max_dt, push_back_time(times)); + + BOOST_CHECK_EQUAL(times.size(), steps+1); + // check that dt remains at exactly max_dt + for( size_t i=0 ; i<times.size() ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL( times[i] - static_cast<double>(i)*max_dt , 1E-15); + times.clear(); + + // this should also work when we provide some bigger initial dt + integrate_adaptive(stepper, + std::make_pair(osc_rhs(), osc_jacobi()), + x, 0.0, steps*max_dt, 10*max_dt, push_back_time(times)); + + BOOST_CHECK_EQUAL(times.size(), steps+1); + // check that dt remains at exactly max_dt + for( size_t i=0 ; i<times.size() ; ++i ) + // check if observer was called at times 0,1,2,... + BOOST_CHECK_SMALL( times[i] - static_cast<double>(i)*max_dt , 1E-15); + times.clear(); +} + + +BOOST_AUTO_TEST_CASE( test_controlled_rosenbrock ) +{ + const double max_dt = 0.01; + + test_rosenbrock_stepper(make_controlled(1E-2, 1E-2, max_dt, rosenbrock4<value_type>()), + max_dt); + test_rosenbrock_stepper(make_controlled(1E-2, 1E-2, -max_dt, rosenbrock4<value_type>()), + -max_dt); +} + + +BOOST_AUTO_TEST_CASE( test_dense_out_rosenbrock ) +{ + const double max_dt = 0.01; + + test_rosenbrock_stepper(make_dense_output(1E-2, 1E-2, max_dt, rosenbrock4<value_type>()), + max_dt); + test_rosenbrock_stepper(make_dense_output(1E-2, 1E-2, -max_dt, rosenbrock4<value_type>()), + -max_dt); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/stepper_copying.cpp b/src/boost/libs/numeric/odeint/test/stepper_copying.cpp new file mode 100644 index 000000000..c29e4de19 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/stepper_copying.cpp @@ -0,0 +1,856 @@ +/* + [auto_generated] + libs/numeric/odeint/test/stepper_copying.cpp + + [begin_description] + This file tests the copying of the steppers. + [end_description] + + Copyright 2011-2012 Karsten Ahnert + Copyright 2011-2012 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) +*/ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC +#pragma warning(disable:4996) +#endif + + +#define BOOST_TEST_MODULE odeint_stepper_copying + +#include <boost/test/unit_test.hpp> +#include <boost/type_traits/integral_constant.hpp> + +//#include <boost/numeric/odeint/util/construct.hpp> +//#include <boost/numeric/odeint/util/destruct.hpp> +#include <boost/numeric/odeint/util/copy.hpp> + +#include <boost/numeric/odeint/util/state_wrapper.hpp> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.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> + +template< class T , size_t Dim > +class test_array +{ +public: + + const static size_t dim = Dim; + typedef T value_type; + typedef value_type* iterator; + typedef const value_type* const_iterator; + + value_type& operator[]( size_t i ) + { + return m_data[i]; + } + + const value_type& operator[]( size_t i ) const + { + return m_data[i]; + } + + iterator begin( void ) + { + return m_data; + } + + iterator end( void ) + { + return m_data + dim; + } + + const_iterator begin( void ) const + { + return m_data; + } + + const_iterator end( void ) const + { + return m_data + dim; + } + + +private: + + value_type m_data[dim]; +}; + +template< class T , size_t Dim > +class test_array2 : public test_array< T , Dim > +{ +}; + + + +/* + * Explicit testing if copying was successful is difficult, + * hence we only test if the number of copy operations is right. + * + * Otherwise one has to prepare the states. + */ + +size_t construct_count = 0; +size_t construct2_count = 0; +size_t destruct_count = 0; +size_t destruct2_count = 0; +size_t copy_count = 0; +size_t copy2_count = 0; + +void reset_counter( void ) +{ + construct_count = 0; + construct2_count = 0; + destruct_count = 0; + destruct2_count = 0; + copy_count = 0; + copy2_count = 0; +} + + +namespace boost { namespace numeric { namespace odeint { + +//provide the state_wrapper + template< class T , size_t Dim > + struct state_wrapper< test_array< T , Dim > > + { + typedef state_wrapper< test_array< T , Dim > > state_wrapper_type; + typedef test_array< T , Dim > state_type; + typedef T value_type; + + state_type m_v; + + state_wrapper() : m_v() + { + construct_count++; + } + + state_wrapper( const state_type &v ) : m_v( v ) + { + construct_count++; + copy_count++; + } + + state_wrapper( const state_wrapper_type &x ) : m_v( x.m_v ) + { + construct_count++; + copy_count++; + } + + state_wrapper_type& operator=( const state_wrapper_type &x ) + { + copy_count++; + return *this; + } + + ~state_wrapper() + { + destruct_count++; + } + }; + +//provide the state_wrapper + template< class T , size_t Dim > + struct state_wrapper< test_array2< T , Dim > > + { + typedef state_wrapper< test_array2< T , Dim > > state_wrapper_type; + typedef test_array2< T , Dim > state_type; + typedef T value_type; + + state_type m_v; + + state_wrapper() : m_v() + { + construct2_count++; + } + + state_wrapper( const state_type &v ) : m_v( v ) + { + construct2_count++; + copy2_count++; + } + + state_wrapper( const state_wrapper_type &x ) : m_v( x.m_v ) + { + construct2_count++; + copy2_count++; + } + + state_wrapper_type& operator=( const state_wrapper_type &x ) + { + copy2_count++; + return *this; + } + + ~state_wrapper() + { + destruct2_count++; + } + }; + + + } } } + + + +typedef test_array< double , 3 > state_type; +typedef test_array2< double , 3 > deriv_type; +typedef boost::numeric::odeint::euler< state_type , double , deriv_type > euler_type; +typedef boost::numeric::odeint::runge_kutta4_classic< state_type , double , deriv_type > rk4_type; +typedef boost::numeric::odeint::runge_kutta4< state_type , double , deriv_type > rk4_generic_type; +typedef boost::numeric::odeint::runge_kutta_cash_karp54_classic< state_type , double , deriv_type > rk54_type; +typedef boost::numeric::odeint::runge_kutta_cash_karp54< state_type , double , deriv_type > rk54_generic_type; +typedef boost::numeric::odeint::runge_kutta_dopri5< state_type , double , deriv_type > dopri5_type; +typedef boost::numeric::odeint::controlled_runge_kutta< rk54_type > controlled_rk54_type; +typedef boost::numeric::odeint::controlled_runge_kutta< rk54_generic_type > controlled_rk54_generic_type; +typedef boost::numeric::odeint::controlled_runge_kutta< dopri5_type > controlled_dopri5_type; +typedef boost::numeric::odeint::dense_output_runge_kutta< euler_type > dense_output_euler_type; +typedef boost::numeric::odeint::dense_output_runge_kutta< controlled_dopri5_type > dense_output_dopri5_type; + +#define CHECK_COUNTERS( c1 , c2 , c3 , c4 , c5 , c6 ) \ + BOOST_CHECK_EQUAL( construct_count , size_t( c1 ) ); \ + BOOST_CHECK_EQUAL( construct2_count , size_t( c2 ) ); \ + BOOST_CHECK_EQUAL( destruct_count , size_t( c3 ) ); \ + BOOST_CHECK_EQUAL( destruct2_count , size_t( c4) ); \ + BOOST_CHECK_EQUAL( copy_count , size_t( c5 ) ) ; \ + BOOST_CHECK_EQUAL( copy2_count, size_t( c6 ) ) + +BOOST_AUTO_TEST_SUITE( stepper_copying ) + +/* + * Construct + Destruct + * 1 deriv_type in explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( explicit_euler_construct ) +{ + reset_counter(); + { + euler_type euler; + } + CHECK_COUNTERS( 0 , 1 , 0 , 1 , 0 , 0 ); +} + + +/* + * Construct + Destruct + * 2 * 1 deriv_type in explicit_stepper_base + * + * Copying + * 1 deriv_type in explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( explicit_euler_copy_construct ) +{ + reset_counter(); + { + euler_type euler; + euler_type euler2( euler ); + } + CHECK_COUNTERS( 0 , 1 + 1 , 0 , 1 + 1 , 0 , 1 ); +} + +/* + * Construct + Destruct + * 2 * 1 deriv_type in explicit_stepper_base + * + * Copying + * 1 deriv_type in explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( explicit_euler_assign ) +{ + reset_counter(); + { + euler_type euler; + euler_type euler2; + euler2 = euler; + } + CHECK_COUNTERS( 0 , 2 , 0 , 2 , 0 , 1 ); +} + +/* + * Construct + Destruct + * 1 deriv_type in explicit_stepper_base + * 3 deriv_type in explicit_rk4 + * 1 state_type in explicit_rk4 + */ +BOOST_AUTO_TEST_CASE( explicit_rk4_construct ) +{ + reset_counter(); + { + rk4_type rk4; + } + CHECK_COUNTERS( 1 , 4 , 1 , 4 , 0 , 0 ); +} + +/* + * Construct + Destruct + * 2 * 1 deriv_type in explicit_stepper_base + * 2 * 3 deriv_type in explicit_rk4 + * 2 * 1 state_type in explicit_rk4 + * + * Copying + * 1 deriv_type in explicit_stepper_base + * 3 deriv_type in explicit_stepper_base + * 1 state_type in explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( explicit_rk4_copy_construct ) +{ + reset_counter(); + { + rk4_type rk4; + rk4_type rk4_2( rk4 ); + } + CHECK_COUNTERS( 2 , 8 , 2 , 8 , 1 , 4 ); +} + +/* + * Construct + Destruct + * 2 * 1 deriv_type in explicit_stepper_base + * 2 * 3 deriv_type in explicit_rk4 + * 2 * 1 state_type in explicit_rk4 + * + * Copying + * 1 deriv_type in explicit_stepper_base + * 3 deriv_type in explicit_stepper_base + * 1 state_type in explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( explicit_rk4_assign ) +{ + reset_counter(); + { + rk4_type rk4; + rk4_type rk4_2; + rk4 = rk4_2; + } + CHECK_COUNTERS( 2 , 8 , 2 , 8 , 1 , 4 ); +} + + +/* + * Construct + Destruct + * 1 deriv_type in explicit_stepper_base + * 3 deriv_type in explicit_rk4 + * 1 state_type in explicit_rk4 + */ +BOOST_AUTO_TEST_CASE( explicit_rk4_generic_construct ) +{ + reset_counter(); + { + rk4_generic_type rk4; + } + CHECK_COUNTERS( 1 , 4 , 1 , 4 , 0 , 0 ); +} + +/* + * Construct + Destruct + * 2 * 1 deriv_type in explicit_stepper_base + * 2 * 3 deriv_type in explicit_rk4 + * 2 * 1 state_type in explicit_rk4 + * + * Copying + * 1 deriv_type in explicit_stepper_base + * 3 deriv_type in explicit_stepper_base + * 1 state_type in explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( explicit_rk4_generic_copy_construct ) +{ + reset_counter(); + { + rk4_generic_type rk4; + rk4_generic_type rk4_2( rk4 ); + } + CHECK_COUNTERS( 2 , 8 , 2 , 8 , 1 , 4 ); +} + +/* + * Construct + Destruct + * 2 * 1 deriv_type in explicit_stepper_base + * 2 * 3 deriv_type in explicit_rk4 + * 2 * 1 state_type in explicit_rk4 + * + * Copying + * 1 deriv_type in explicit_stepper_base + * 3 deriv_type in explicit_stepper_base + * 1 state_type in explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( explicit_rk4_generic_assign ) +{ + reset_counter(); + { + rk4_generic_type rk4; + rk4_generic_type rk4_2; + rk4 = rk4_2; + } + CHECK_COUNTERS( 2 , 8 , 2 , 8 , 1 , 4 ); +} + +/* + * Construct + Destruct + * 2 explicit_rk54_ck: + * 2 * 1 deriv_type in explicit_error_stepper_base + * 2 * 5 deriv_type in explicit_error_rk54_ck + * 2 * 1 state_type in explicit_error_rk4 + * 1 controlled_stepper: + * 1 deriv_type + * 2 state_type + * + * Copying + * 1 copy process of explicit_rk54_ck: + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck + * 1 state_type from explicit_error_rk54_ck + */ +BOOST_AUTO_TEST_CASE( controlled_rk54_construct ) +{ + reset_counter(); + { + controlled_rk54_type stepper; + } + CHECK_COUNTERS( 4 , 13 , 4 , 13 , 1 , 6 ); +} + + +/* + * Construct + Destruct + * 3 explicit_rk54_ck: + * 3 * 1 deriv_type in explicit_error_stepper_base + * 3 * 5 deriv_type in explicit_error_rk54_ck + * 3 * 1 state_type in explicit_error_rk4 + * 2 controlled_stepper: + * 2 * 1 deriv_type + * 2 * 2 state_type + * + * Copying + * 1 copy process of explicit_rk54_ck: + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck + * 1 state_type from explicit_error_rk54_ck + * + * 1 process of copying controlled_error_stepper + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck + * 1 state_type from explicit_error_rk54_ck + * 1 deriv_type from controlled_error_stepper + * 2 state_type from controlled_error_stepper + */ +BOOST_AUTO_TEST_CASE( controlled_rk54_copy_construct ) +{ + reset_counter(); + { + controlled_rk54_type stepper; + controlled_rk54_type stepper2( stepper ); + } + CHECK_COUNTERS( 7 , 20 , 7 , 20 , 4 , 13 ); +} + +/* + * Construct + Destruct + * 4 explicit_rk54_ck: + * 4 * 1 deriv_type in explicit_error_stepper_base + * 4 * 5 deriv_type in explicit_error_rk54_ck + * 4 * 1 state_type in explicit_error_rk4 + * 2 controlled_stepper: + * 2 * 1 deriv_type + * 2 * 2 state_type + * + * Copying + * 2 copy process of explicit_rk54_ck: + * 2 * 1 deriv_type from explicit_error_stepper_base + * 2 * 5 deriv_type from explicit_error_rk54_ck + * 2 * 1 state_type from explicit_error_rk54_ck + * + * 1 process of copying controlled_error_stepper + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck + * 1 state_type from explicit_error_rk54_ck + * 1 deriv_type from controlled_error_stepper + * 2 state_type from controlled_error_stepper + */ +BOOST_AUTO_TEST_CASE( controlled_rk54_assign ) +{ + reset_counter(); + { + controlled_rk54_type stepper; + controlled_rk54_type stepper2; + stepper2 = stepper; + } + CHECK_COUNTERS( 8 , 26 , 8 , 26 , 5 , 19 ); +} + + + +/* + * Construct + Destruct + * 2 explicit_rk54_ck_generic: + * 2 * 1 deriv_type in explicit_error_stepper_base + * 2 * 5 deriv_type in explicit_error_rk54_ck_generic + * 2 * 1 state_type in explicit_error_rk54_ck_generic + * 1 controlled_stepper: + * 1 deriv_type + * 2 state_type + * + * Copying + * 1 copy process of explicit_rk54_ck_generic: + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck_generic + * 1 state_type from explicit_error_rk54_ck_generic + */ +BOOST_AUTO_TEST_CASE( controlled_rk54_generic_construct ) +{ + reset_counter(); + { + controlled_rk54_generic_type stepper; + } + CHECK_COUNTERS( 4 , 13 , 4 , 13 , 1 , 6 ); +} + + +/* + * Construct + Destruct + * 3 explicit_rk54_ck_generic: + * 3 * 1 deriv_type in explicit_error_stepper_base + * 3 * 5 deriv_type in explicit_error_rk54_ck_generic + * 3 * 1 state_type in explicit_error_rk4_generic + * 2 controlled_stepper: + * 2 * 1 deriv_type + * 2 * 2 state_type + * + * Copying + * 1 copy process of explicit_rk54_ck_generic: + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck_generic + * 1 state_type from explicit_error_rk54_ck_generic + * + * 1 process of copying controlled_error_stepper + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck_generic + * 1 state_type from explicit_error_rk54_ck_generic + * 1 deriv_type from controlled_error_stepper + * 2 state_type from controlled_error_stepper + */ +BOOST_AUTO_TEST_CASE( controlled_rk54_generic_copy_construct ) +{ + reset_counter(); + { + controlled_rk54_generic_type stepper; + controlled_rk54_generic_type stepper2( stepper ); + } + CHECK_COUNTERS( 7 , 20 , 7 , 20 , 4 , 13 ); +} + +/* + * Construct + Destruct + * 4 explicit_rk54_ck_generic: + * 4 * 1 deriv_type in explicit_error_stepper_base + * 4 * 5 deriv_type in explicit_error_rk54_ck_generic + * 4 * 1 state_type in explicit_error_rk4_generic + * 2 controlled_stepper: + * 2 * 1 deriv_type + * 2 * 2 state_type + * + * Copying + * 2 copy process of explicit_rk54_ck_generic: + * 2 * 1 deriv_type from explicit_error_stepper_base + * 2 * 5 deriv_type from explicit_error_rk54_ck_generic + * 2 * 1 state_type from explicit_error_rk54_ck_generic + * + * 1 process of copying controlled_error_stepper + * 1 deriv_type from explicit_error_stepper_base + * 5 deriv_type from explicit_error_rk54_ck_generic + * 1 state_type from explicit_error_rk54_ck_generic + * 1 deriv_type from controlled_error_stepper + * 2 state_type from controlled_error_stepper + */ +BOOST_AUTO_TEST_CASE( controlled_rk54_generic_assign ) +{ + reset_counter(); + { + controlled_rk54_generic_type stepper; + controlled_rk54_generic_type stepper2; + stepper2 = stepper; + } + CHECK_COUNTERS( 8 , 26 , 8 , 26 , 5 , 19 ); +} + + +/* + * Construct + Destruct + * 2 explicit_error_dopri5: + * 2 * 1 deriv_type in explicit_error_stepper_base_fsal + * 2 * 6 deriv_type in explicit_error_dopri5 + * 2 * 1 state_type in explicit_error_dopri5 + * 1 controlled_error_stepper (fsal): + * 2 deriv_type + * 2 state_type + * + * Copying + * 1 copy process of explicit_dopri5: + * 1 deriv_type from explicit_error_stepper_base_fsal + * 6 deriv_type from explicit_error_dopri5 + * 1 state_type from explicit_error_dopri5 + */ + +BOOST_AUTO_TEST_CASE( controlled_dopri5_construct ) +{ + reset_counter(); + { + controlled_dopri5_type dopri5; + } + CHECK_COUNTERS( 2 * 1 + 2 , 2 * (6+1) + 2 , 2 * 1 + 2 , 2 * (6+1) + 2 , 1 , 1 + 6 ); +} + + +/* + * Construct + Destruct + * 3 explicit_error_dopri5: + * 3 * 1 deriv_type in explicit_error_stepper_base_fsal + * 3 * 6 deriv_type in explicit_error_dopri5 + * 3 * 1 state_type in explicit_error_dopri5 + * 2 controlled_error_stepper (fsal): + * 2 * 2 deriv_type + * 2 * 2 state_type + * + * Copying + * 1 copy process of explicit_error_dopri5: + * 1 deriv_type from explicit_error_stepper_base_fsal + * 6 deriv_type from explicit_error_error_dopri5 + * 1 state_type from explicit_error_error_dopri5 + * + * 1 process of copying controlled_error_stepper + * 1 deriv_type from explicit_error_stepper_base_fsal + * 6 deriv_type from explicit_error_dopri5 + * 1 state_type from explicit_error_dopri5 + * 2 deriv_type from controlled_error_stepper (fsal) + * 2 state_type from controlled_error_stepper (fsal) + */ +BOOST_AUTO_TEST_CASE( controlled_dopri5_copy_construct ) +{ + reset_counter(); + { + controlled_dopri5_type dopri5; + controlled_dopri5_type dopri5_2( dopri5 ); + } + CHECK_COUNTERS( 3 * 1 + 2 * 2 , 3 * (6+1) + 2 * 2 , 3 * 1 + 2 * 2 , 3 * (6+1) + 2 * 2 , 1 + 1 + 2 , 1 + 6 + 1 + 6 + 2 ); +} + +/* + * Construct + Destruct + * 4 explicit_error_dopri5: + * 4 * 1 deriv_type in explicit_error_stepper_base_fsal + * 4 * 6 deriv_type in explicit_error_dopri5 + * 4 * 1 state_type in explicit_error_dopri5 + * 2 controlled_error_stepper (fsal): + * 2 * 2 deriv_type + * 2 * 2 state_type + * + * Copying + * 2 copy process of explicit_error_dopri5: + * 2 * 1 deriv_type from explicit_error_stepper_base_fsal + * 2 * 6 deriv_type from explicit_error_dopri5 + * 2 * 1 state_type from explicit_error_dopri5 + * + * 1 process of copying controlled_error_stepper + * 1 deriv_type from explicit_error_stepper_base + * 6 deriv_type from explicit_error_dopri5 + * 1 state_type from explicit_error_dopri5 + * 2 deriv_type from controlled_error_stepper (fsal) + * 2 state_type from controlled_error_stepper (fsal) + */ +BOOST_AUTO_TEST_CASE( controlled_dopri5_assign ) +{ + reset_counter(); + { + controlled_dopri5_type dopri5; + controlled_dopri5_type dopri5_2; + dopri5_2 = dopri5; + } + CHECK_COUNTERS( 4 * 1 + 2 * 2 , 4 * (1+6) + 2 * 2 , 4 * 1 + 2 * 2 , 4 * (1+6) + 2 * 2 , 2 * 1 + 1 + 2 , 2 * (6+1) + 1 + 6 + 2 ); +} + + +/* + * Construct + Destruct + * 2 explicit_euler: + * 2 * 1 deriv_type in explicit_stepper_base + * 1 dense_output_explicit: + * 2 state_type + * + * Copying + * 1 copy process of explicit_euler: + * 1 deriv_type from explicit_stepper_base + */ +BOOST_AUTO_TEST_CASE( dense_output_euler_construct ) +{ + reset_counter(); + { + dense_output_euler_type euler; + } + CHECK_COUNTERS( 2 , 2 * 1 , 2 , 2 * 1 , 0 , 1 ); +} + +/* + * Construct + Destruct + * 3 explicit_euler: + * 3 * 1 deriv_type in explicit_stepper_base + * 2 dense_output_explicit: + * 2 * 2 state_type + * + * Copying + * 1 copy process of explicit_euler: + * 1 deriv_type from explicit_stepper_base + * + * 1 process of copying + * 1 deriv_type from explicit_stepper_base + * 2 state_type from dense_output_explicit + */ +BOOST_AUTO_TEST_CASE( dense_output_euler_copy_construct ) +{ + reset_counter(); + { + dense_output_euler_type euler; + dense_output_euler_type euler2( euler ); + } + CHECK_COUNTERS( 2 * 2 , 3 * 1 , 2 * 2 , 3 * 1 , 2 , 1 + 1 ); +} + +/* + * Construct + Destruct + * 4 explicit_euler: + * 4 * 1 deriv_type in explicit_stepper_base + * 2 dense_output_explicit: + * 2 * 2 state_type + * + * Copying + * 2 copy process of explicit_euler: + * 2 * 1 deriv_type from explicit_stepper_base + * + * 1 process of copying dense_ouput_explicit + * 1 deriv_type from explicit_stepper_base + * 2 state_type from dense_output_explicit + */ +BOOST_AUTO_TEST_CASE( dense_output_euler_assign ) +{ + reset_counter(); + { + dense_output_euler_type euler; + dense_output_euler_type euler2; + euler2 = euler; + } + CHECK_COUNTERS( 2 * 2 , 4 * 1 , 2 * 2 , 4 * 1 , 2 , 2 * 1 + 1 ); +} + +/* + * Construct + Destruct + * 3 dense_output_dopri5: + * 3 * 1 deriv_type in explicit_error_stepper_base_fsal + * 3 * 6 deriv_type in explicit_error_dopri5 + * 3 * 1 state_type in explicit_error_dopri5 + * 2 controlled_error_stepper (fsal): + * 2 * 2 state_type + * 2 * 2 deriv_type + * 1 dense_output_controlled_explicit: + * 2 state_type + * 2 deriv_type + * + * Copying + * 2 copy process of explicit_error_dopri5: + * 2 * 1 deriv_type from explicit_erro_stepper_base_fsal + * 2 * 6 deriv_type in explicit_error_dopri5 + * 2 * 1 state_type in explicit_error_dopri5 + * 1 copy process of dense_output_controlled (fsal) + * 2 state_type + * 2 deriv_type + */ +BOOST_AUTO_TEST_CASE( dense_output_dopri5_construct ) +{ + reset_counter(); + { + dense_output_dopri5_type dopri5; + } + CHECK_COUNTERS( 3*1 + 2*2 + 2 , 3*(1+6) + 2*2 + 2 , 3*1 + 2*2 + 2 , 3*(1+6) + 2*2 + 2 , 2*1 + 2 , 2*(1+6) + 2 ); +} + +/* + * Construct + Destruct + * 4 dense_output_dopri5: + * 4 * 1 deriv_type in explicit_error_stepper_base_fsal + * 4 * 5 deriv_type in explicit_error_dopri5 + * 4 * 1 state_type in explicit_error_dopri5 + * 3 controlled_error_stepper (fsal): + * 3 * 2 state_type + * 3 * 2 deriv_type + * 2 dense_output_controlled_explicit: + * 2 * 2 state_type + * 2 * 2 deriv_type + * + * Copying + * 3 copy process of explicit_error_dopri5: + * 3 * 1 deriv_type from explicit_erro_stepper_base_fsal + * 3 * 6 deriv_type in explicit_error_dopri5 + * 3 * 1 state_type in explicit_error_dopri5 + * 2 copy process of controlled_error_stepper (fsal): + * 2 * 2 state_type + * 2 * 2 deriv_type + * 1 copy process of dense_output_controlled_explicit: + * 2 state_type + * 2 deriv_type + */ +BOOST_AUTO_TEST_CASE( dense_output_dopri5_copy_construct ) +{ + reset_counter(); + { + dense_output_dopri5_type dopri5; + dense_output_dopri5_type dopri5_2( dopri5 ); + } + CHECK_COUNTERS( 4*1 + 3*2 + 2*2 , 4*(1+6) + 3*2 + 2*2 , 4*1 + 3*2 + 2*2 , 4*(1+6) + 3*2 + 2*2 , 3*1 + 2*2 + 1*2 , 3*(6+1) + 2*2 + 2 ); +} + +/* + * Construct + Destruct + * 6 dense_output_dopri5: + * 6 * 1 deriv_type in explicit_error_stepper_base_fsal + * 6 * 6 deriv_type in explicit_error_dopri5 + * 6 * 1 state_type in explicit_error_dopri5 + * 4 controlled_error_stepper (fsal): + * 4 * 2 state_type + * 4 * 2 deriv_type + * 2 dense_output_controlled_explicit: + * 2 * 2 state_type + * 2 * 2 deriv_type + * + * Copying + * 5 copy process of explicit_error_dopri5: + * 5 * 1 deriv_type from explicit_erro_stepper_base_fsal + * 5 * 6 deriv_type in explicit_error_dopri5 + * 5 * 1 state_type in explicit_error_dopri5 + * 3 copy process of controlled_error_stepper (fsal): + * 3 * 2 state_type + * 3 * 2 deriv_type + * 1 copy process of dense_output_controlled_explicit: + * 2 state_type + * 2 deriv_type + */ +BOOST_AUTO_TEST_CASE( dense_output_dopri5_assign ) +{ + reset_counter(); + { + dense_output_dopri5_type dopri5; + dense_output_dopri5_type dopri5_2; + dopri5_2 = dopri5; + } + CHECK_COUNTERS( 6*1 + 4*2 + 2*2 , 6*(6+1) + 4*2 + 2*2 , 6*1 + 4*2 + 2*2 , 6*(6+1) + 4*2 + 2*2 , 5*1 + 3*2 + 2 , 5*(6+1) + 3*2 + 2 ); +} + + +BOOST_AUTO_TEST_SUITE_END() + diff --git a/src/boost/libs/numeric/odeint/test/stepper_with_ranges.cpp b/src/boost/libs/numeric/odeint/test/stepper_with_ranges.cpp new file mode 100644 index 000000000..59f007f2d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/stepper_with_ranges.cpp @@ -0,0 +1,292 @@ +/* + [auto_generated] + libs/numeric/odeint/test/stepper_with_ranges.cpp + + [begin_description] + This file tests if the steppers play well with Boost.Range. + [end_description] + + 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) + */ + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_stepper_with_ranges + +#include <boost/test/unit_test.hpp> + +#include <vector> +#include <utility> +#include <iostream> + +#include <boost/array.hpp> +#include <boost/range.hpp> +#include <boost/ref.hpp> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/symplectic_euler.hpp> +#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp> + +typedef std::vector< double > state_type; +typedef boost::array< double , 3 > state_type2; + +/* explicitly force range algebra for this array! */ +namespace boost { namespace numeric { namespace odeint { + +template<> +struct algebra_dispatcher< state_type2 > +{ typedef range_algebra algebra_type; }; + +} } } + + +/* + * The two systems are needed, since for steppers with more than + * one internal step it is difficult to calculate the exact result + * + * system1 is suited for euler + */ +struct system1 +{ + template< class State , class Deriv > + void operator()( const State &x_ , Deriv &dxdt_ , double t ) + { + typename boost::range_iterator< const State >::type x = boost::begin( x_ ); + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + + dxdt[0] = x[0]; + dxdt[1] = 2.0; + dxdt[2] = 3.0; + } + + template< class State , class Deriv > + void operator()( const State &x_ , const Deriv &dxdt_ , double t ) + { + typename boost::range_iterator< const State >::type x = boost::begin( x_ ); + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + + dxdt[0] = x[0]; + dxdt[1] = 2.0; + dxdt[2] = 3.0; + } +}; + +/* + * system2 is suited for all steppers, it allows you to calculate the result analytically. + */ +struct system2 +{ + template< class State , class Deriv > + void operator()( const State &x_ , Deriv &dxdt_ , double t ) + { + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + + dxdt[0] = 1.0; + dxdt[1] = 2.0; + dxdt[2] = 3.0; + } + + template< class State , class Deriv > + void operator()( const State &x_ , const Deriv &dxdt_ , double t ) + { + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + + dxdt[0] = 1.0; + dxdt[1] = 2.0; + dxdt[2] = 3.0; + } +}; + + +/* + * Useful for Hamiltonian systems + */ +struct ham_sys +{ + template< class State , class Deriv > + void operator()( const State &x_ , Deriv &dxdt_ ) + { + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + dxdt[0] = 1.0; + dxdt[1] = 2.0; + dxdt[2] = 3.0; + } + + template< class State , class Deriv > + void operator()( const State &x_ , const Deriv &dxdt_ ) + { + typename boost::range_iterator< Deriv >::type dxdt = boost::begin( dxdt_ ); + dxdt[0] = 1.0; + dxdt[1] = 2.0; + dxdt[2] = 3.0; + } +}; + + +struct vector_fixture +{ + const static size_t dim = 6; + boost::array< double , dim > in; + boost::array< double , dim > q; + boost::array< double , dim > p; + state_type err; + + vector_fixture( void ) + : in() , err( 3 ) + { + for( size_t i=0 ; i<dim ; ++i ) + { + in[ i ] = q[i] = p[i] = double( i ); + } + for( size_t i=0 ; i<3 ; ++i ) + { + err[i] = double( i ) * 10.0; + } + } + + ~vector_fixture( void ) + { + } +}; + +#define CHECK_VALUES( x , x0 , x1 , x2 , x3 , x4 , x5 ) \ + BOOST_CHECK_CLOSE( x[0] , x0 , 1.0e-8 ); \ + BOOST_CHECK_CLOSE( x[1] , x1 , 1.0e-8 ); \ + BOOST_CHECK_CLOSE( x[2] , x2 , 1.0e-8 ); \ + BOOST_CHECK_CLOSE( x[3] , x3 , 1.0e-8 ); \ + BOOST_CHECK_CLOSE( x[4] , x4 , 1.0e-8 ); \ + BOOST_CHECK_CLOSE( x[5] , x5 , 1.0e-8 ) + + + +BOOST_AUTO_TEST_SUITE( stepper_with_ranges ) + +BOOST_AUTO_TEST_CASE( explicit_euler_with_range_v1 ) +{ + vector_fixture f; + boost::numeric::odeint::euler< state_type > euler; + euler.do_step( system1() , std::make_pair( f.in.begin() + 1 , f.in.begin() + 4 ) , 0.1 , 0.1 ); + CHECK_VALUES( f.in , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); +} + + + +BOOST_AUTO_TEST_CASE( explicit_error_k54_with_range_v1 ) +{ + vector_fixture f; + boost::numeric::odeint::runge_kutta_cash_karp54_classic< state_type > rk54; + rk54.do_step( system2() , std::make_pair( f.in.begin() + 1 , f.in.begin() + 4 ) , 0.1 , 0.1 ); + CHECK_VALUES( f.in , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); +} + +BOOST_AUTO_TEST_CASE( explicit_error_k54_with_range_v5 ) +{ + vector_fixture f; + boost::numeric::odeint::runge_kutta_cash_karp54_classic< state_type > rk54; + rk54.do_step( system2() , std::make_pair( f.in.begin() + 1 , f.in.begin() + 4 ) , 0.1 , 0.1 , f.err ); + CHECK_VALUES( f.in , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); +} + + +BOOST_AUTO_TEST_CASE( runge_kutta_dopri5_with_range_v1 ) +{ + vector_fixture f; + boost::numeric::odeint::runge_kutta_dopri5< state_type > dopri5; + dopri5.do_step( system2() , std::make_pair( f.in.begin() + 1 , f.in.begin() + 4 ) , 0.1 , 0.1 ); + CHECK_VALUES( f.in , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); +} + + +BOOST_AUTO_TEST_CASE( runge_kutta_dopri5_with_range_v5 ) +{ + vector_fixture f; + boost::numeric::odeint::runge_kutta_dopri5< state_type > dopri5; + dopri5.do_step( system2() , std::make_pair( f.in.begin() + 1 , f.in.begin() + 4 ) , 0.1 , 0.1 , f.err ); + CHECK_VALUES( f.in , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); +} + + +BOOST_AUTO_TEST_CASE( controlled_error_stepper_rk54 ) +{ + double t = 0.0 , dt = 0.1; + vector_fixture f; + boost::numeric::odeint::controlled_runge_kutta< boost::numeric::odeint::runge_kutta_cash_karp54_classic< state_type > > stepper; + stepper.try_step( system2() , std::make_pair( f.in.begin() + 1 , f.in.begin() + 4 ) , t , dt ); + CHECK_VALUES( f.in , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); +} + +BOOST_AUTO_TEST_CASE( controlled_error_stepper_dopri5 ) +{ + double t = 0.0 , dt = 0.1; + vector_fixture f; + boost::numeric::odeint::controlled_runge_kutta< boost::numeric::odeint::runge_kutta_dopri5< state_type > > stepper; + stepper.try_step( system2() , std::make_pair( f.in.begin() + 1 , f.in.begin() + 4 ) , t , dt ); + CHECK_VALUES( f.in , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); +} + + +BOOST_AUTO_TEST_CASE( symplectic_euler_coor_func ) +{ + vector_fixture f; + boost::numeric::odeint::symplectic_euler< state_type > euler; + euler.do_step( ham_sys() , + std::make_pair( f.q.begin() + 1 , f.q.begin() + 4 ) , + std::make_pair( f.p.begin() + 3 , f.p.begin() + 6 ) , + 0.0 , 0.1 ); + CHECK_VALUES( f.q , 0.0 , 1.3 , 2.4 , 3.5 , 4.0 , 5.0 ); + CHECK_VALUES( f.p , 0.0 , 1.0 , 2.0 , 3.1 , 4.2 , 5.3 ); +} + +BOOST_AUTO_TEST_CASE( symplectic_euler_coor_and_mom_func ) +{ + vector_fixture f; + boost::numeric::odeint::symplectic_euler< state_type > euler; + euler.do_step( std::make_pair( ham_sys() , ham_sys() ) , + std::make_pair( f.q.begin() + 1 , f.q.begin() + 4 ) , + std::make_pair( f.p.begin() + 3 , f.p.begin() + 6 ) , + 0.0 , 0.1 ); + CHECK_VALUES( f.q , 0.0 , 1.1 , 2.2 , 3.3 , 4.0 , 5.0 ); + CHECK_VALUES( f.p , 0.0 , 1.0 , 2.0 , 3.1 , 4.2 , 5.3 ); +} + + +BOOST_AUTO_TEST_CASE( dense_output_euler_with_ranges ) +{ + using namespace boost::numeric::odeint; + vector_fixture f; + dense_output_runge_kutta< euler< state_type > > stepper; + stepper.initialize( std::make_pair( f.in.begin() + 1, f.in.begin() + 4 ) , 0.0 , 0.1 ); + stepper.do_step( system1() ); + stepper.calc_state( 0.05 , std::make_pair( f.in.begin() + 1 ,f.in.begin() +4 ) ); + CHECK_VALUES( f.in , 0.0 , 1.05 , 2.1 , 3.15 , 4.0 , 5.0 ); +} + +BOOST_AUTO_TEST_CASE( dense_output_dopri5_with_ranges ) +{ + using namespace boost::numeric::odeint; + vector_fixture f; + dense_output_runge_kutta< + controlled_runge_kutta< + runge_kutta_dopri5< state_type > + > > stepper; + stepper.initialize( std::make_pair( f.in.begin() + 1, f.in.begin() + 4 ) , 0.0 , 0.1 ); + stepper.do_step( system2() ); + stepper.calc_state( 0.05 , std::make_pair( f.in.begin() + 1 ,f.in.begin() +4 ) ); + CHECK_VALUES( f.in , 0.0 , 1.05 , 2.1 , 3.15 , 4.0 , 5.0 ); +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/stepper_with_units.cpp b/src/boost/libs/numeric/odeint/test/stepper_with_units.cpp new file mode 100644 index 000000000..3e3a64508 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/stepper_with_units.cpp @@ -0,0 +1,328 @@ +/* + [auto_generated] + libs/numeric/odeint/test/stepper_with_units.cpp + + [begin_description] + This file tests if the steppers play well with Boost.Units. + [end_description] + + 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) + */ + +#define BOOST_TEST_MODULE odeint_stepper_with_units + +// the runge-kutta 78 stepper invoked with boost units requires increased fusion macro variables! +// note that by default the rk78 + units test case is disabled as it requires enormous memory when compiling (5 GB) +#define BOOST_FUSION_INVOKE_MAX_ARITY 15 +#define BOOST_RESULT_OF_NUM_ARGS 15 + + +#include <boost/numeric/odeint/config.hpp> + +#include <boost/test/unit_test.hpp> + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/fusion/container.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_cash_karp54_classic.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_fehlberg78.hpp> +#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer.hpp> +#include <boost/numeric/odeint/stepper/bulirsch_stoer_dense_out.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra_dispatcher.hpp> + + +using namespace boost::numeric::odeint; +using namespace boost::unit_test; +namespace mpl = boost::mpl; +namespace fusion = boost::fusion; +namespace units = boost::units; +namespace si = boost::units::si; + +typedef double value_type; +typedef units::quantity< si::time , value_type > time_type; +typedef units::quantity< si::length , value_type > length_type; +typedef units::quantity< si::velocity , value_type > velocity_type; +typedef units::quantity< si::acceleration , value_type > acceleration_type; +typedef fusion::vector< length_type , velocity_type > state_type; +typedef fusion::vector< velocity_type , acceleration_type > deriv_type; + +void oscillator( const state_type &x , deriv_type &dxdt , time_type t ) +{ + const units::quantity< si::frequency , value_type > omega = 1.0 * si::hertz; + fusion::at_c< 0 >( dxdt ) = fusion::at_c< 1 >( x ); + fusion::at_c< 1 >( dxdt ) = - omega * omega * fusion::at_c< 0 >( x ); +} + +template< class Stepper > +void check_stepper( Stepper &stepper ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::state_type state_type; + typedef typename stepper_type::value_type value_type; + typedef typename stepper_type::deriv_type deriv_type; + typedef typename stepper_type::time_type time_type; + typedef typename stepper_type::order_type order_type; + typedef typename stepper_type::algebra_type algebra_type; + typedef typename stepper_type::operations_type operations_type; + + const time_type t( 0.0 * si::second ); + time_type dt( 0.1 * si::second ); + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ); + + // test call method one + stepper.do_step( oscillator , x , t , dt ); + + // test call method two + stepper.do_step( oscillator , x , t , x , dt ); + + // test call method three + deriv_type dxdt; + oscillator( x , dxdt , t ); + stepper.do_step( oscillator , x , dxdt , t , dt ); + + // test call method four + oscillator( x , dxdt , t ); + stepper.do_step( oscillator , x , dxdt , t , x , dt ); +} + +template< class Stepper > +void check_fsal_stepper( Stepper &stepper ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::state_type state_type; + typedef typename stepper_type::value_type value_type; + typedef typename stepper_type::deriv_type deriv_type; + typedef typename stepper_type::time_type time_type; + typedef typename stepper_type::order_type order_type; + typedef typename stepper_type::algebra_type algebra_type; + typedef typename stepper_type::operations_type operations_type; + + const time_type t( 0.0 * si::second ); + time_type dt( 0.1 * si::second ); + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ); + + // test call method one + stepper.do_step( oscillator , x , t , dt ); + + // test call method two + stepper.do_step( oscillator , x , t , x , dt ); + + // test call method three + deriv_type dxdt; + oscillator( x , dxdt , t ); + stepper.do_step( oscillator , x , dxdt , t , dt ); + + // test call method four + stepper.do_step( oscillator , x , dxdt , t , x , dxdt , dt ); +} + +template< class Stepper > +void check_error_stepper( Stepper &stepper ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::state_type state_type; + typedef typename stepper_type::value_type value_type; + typedef typename stepper_type::deriv_type deriv_type; + typedef typename stepper_type::time_type time_type; + typedef typename stepper_type::order_type order_type; + typedef typename stepper_type::algebra_type algebra_type; + typedef typename stepper_type::operations_type operations_type; + + const time_type t( 0.0 * si::second ); + time_type dt( 0.1 * si::second ); + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ) , xerr; + + // test call method one + stepper.do_step( oscillator , x , t , dt , xerr ); + + // test call method two + stepper.do_step( oscillator , x , t , x , dt , xerr ); + + // test call method three + deriv_type dxdt; + oscillator( x , dxdt , t ); + stepper.do_step( oscillator , x , dxdt , t , dt , xerr ); + + // test call method four + stepper.do_step( oscillator , x , dxdt , t , x , dt , xerr ); +} + +template< class Stepper > +void check_fsal_error_stepper( Stepper &stepper ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::state_type state_type; + typedef typename stepper_type::value_type value_type; + typedef typename stepper_type::deriv_type deriv_type; + typedef typename stepper_type::time_type time_type; + typedef typename stepper_type::order_type order_type; + typedef typename stepper_type::algebra_type algebra_type; + typedef typename stepper_type::operations_type operations_type; + + const time_type t( 0.0 * si::second ); + time_type dt( 0.1 * si::second ); + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ) , xerr; + + // test call method one + stepper.do_step( oscillator , x , t , dt , xerr ); + + // test call method two + stepper.do_step( oscillator , x , t , x , dt , xerr ); + + // test call method three + deriv_type dxdt; + oscillator( x , dxdt , t ); + stepper.do_step( oscillator , x , dxdt , t , dt , xerr ); + + // test call method four + stepper.do_step( oscillator , x , dxdt , t , x , dxdt , dt , xerr ); +} + +template< class Stepper > +void check_controlled_stepper( Stepper &stepper ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::state_type state_type; + typedef typename stepper_type::value_type value_type; + typedef typename stepper_type::deriv_type deriv_type; + typedef typename stepper_type::time_type time_type; + + time_type t( 0.0 * si::second ); + time_type dt( 0.1 * si::second ); + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ); + + // test call method one + stepper.try_step( oscillator , x , t , dt ); +} + + +template< class Stepper > +void check_dense_output_stepper( Stepper &stepper ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::state_type state_type; + typedef typename stepper_type::value_type value_type; + typedef typename stepper_type::deriv_type deriv_type; + typedef typename stepper_type::time_type time_type; +// typedef typename stepper_type::order_type order_type; + + time_type t( 0.0 * si::second ); + time_type dt( 0.1 * si::second ); + state_type x( 1.0 * si::meter , 0.0 * si::meter_per_second ) , x2; + + stepper.initialize( x , t , dt ); + stepper.do_step( oscillator ); + stepper.calc_state( dt / 2.0 , x2 ); +} + + + + + + +class stepper_types : public mpl::vector +< + euler< state_type , value_type , deriv_type , time_type >, + runge_kutta4< state_type , value_type , deriv_type , time_type > , + runge_kutta4_classic< state_type , value_type , deriv_type , time_type > , + runge_kutta_cash_karp54< state_type , value_type , deriv_type , time_type >, + runge_kutta_cash_karp54_classic< state_type , value_type , deriv_type , time_type > + // don't run rk78 test - gcc requires > 5GB RAM to compile this + //, runge_kutta_fehlberg78< state_type , value_type , deriv_type , time_type > + > { }; + +class fsal_stepper_types : public mpl::vector +< + runge_kutta_dopri5< state_type , value_type , deriv_type , time_type > + > { }; + +class error_stepper_types : public mpl::vector +< + runge_kutta_cash_karp54_classic< state_type , value_type , deriv_type , time_type > + //, runge_kutta_fehlberg78< state_type , value_type , deriv_type , time_type > + > { }; + +class fsal_error_stepper_types : public mpl::vector +< + runge_kutta_dopri5< state_type , value_type , deriv_type , time_type > + > { }; + +class controlled_stepper_types : public mpl::vector +< + controlled_runge_kutta< runge_kutta_cash_karp54_classic< state_type , value_type , deriv_type , time_type > > , + controlled_runge_kutta< runge_kutta_dopri5< state_type , value_type , deriv_type , time_type > > + , bulirsch_stoer< state_type , value_type , deriv_type , time_type > + // rk78 with units needs up to 3GB memory to compile - disable testing... + //, controlled_runge_kutta< runge_kutta_fehlberg78< state_type , value_type , deriv_type , time_type > > + > { }; + +class dense_output_stepper_types : public mpl::vector +< + dense_output_runge_kutta< euler< state_type , value_type , deriv_type , time_type > > , + dense_output_runge_kutta< + controlled_runge_kutta< runge_kutta_dopri5< state_type , value_type , deriv_type , time_type > > > + //, bulirsch_stoer_dense_out< state_type , value_type , deriv_type , time_type > + > { }; + + + + +BOOST_AUTO_TEST_SUITE( stepper_with_units ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_test , Stepper , stepper_types ) +{ + Stepper stepper; + check_stepper( stepper ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( fsl_stepper_test , Stepper , fsal_stepper_types ) +{ + Stepper stepper; + check_fsal_stepper( stepper ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( error_stepper_test , Stepper , error_stepper_types ) +{ + Stepper stepper; + check_error_stepper( stepper ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( fsal_error_stepper_test , Stepper , fsal_error_stepper_types ) +{ + Stepper stepper; + check_fsal_error_stepper( stepper ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( controlled_stepper_test , Stepper , controlled_stepper_types ) +{ + Stepper stepper; + check_controlled_stepper( stepper ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( dense_ouput_test , Stepper , dense_output_stepper_types ) +{ + Stepper stepper; + check_dense_output_stepper( stepper ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/symplectic_steppers.cpp b/src/boost/libs/numeric/odeint/test/symplectic_steppers.cpp new file mode 100644 index 000000000..498983bdd --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/symplectic_steppers.cpp @@ -0,0 +1,391 @@ +/* + [auto_generated] + libs/numeric/odeint/test/symplectic_steppers.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2012 Karsten Ahnert + Copyright 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_symplectic_steppers + +#define BOOST_FUSION_INVOKE_MAX_ARITY 15 +#define BOOST_RESULT_OF_NUM_ARGS 15 +#define FUSION_MAX_VECTOR_SIZE 15 + + +#include <boost/test/unit_test.hpp> + +#include <boost/array.hpp> +#include <boost/static_assert.hpp> +#include <boost/type_traits/is_same.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/mpl/zip_view.hpp> +#include <boost/mpl/vector_c.hpp> +#include <boost/mpl/insert_range.hpp> +#include <boost/mpl/end.hpp> +#include <boost/mpl/size.hpp> +#include <boost/mpl/copy.hpp> +#include <boost/mpl/placeholders.hpp> +#include <boost/mpl/inserter.hpp> +#include <boost/mpl/at.hpp> + +#include <boost/fusion/container/vector.hpp> +#include <boost/fusion/include/make_vector.hpp> + +#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra.hpp> +#include <boost/numeric/odeint/stepper/symplectic_euler.hpp> +#include <boost/numeric/odeint/stepper/symplectic_rkn_sb3a_mclachlan.hpp> +#include <boost/numeric/odeint/stepper/symplectic_rkn_sb3a_m4_mclachlan.hpp> +#include <boost/numeric/odeint/integrate/integrate_const.hpp> + +#include "diagnostic_state_type.hpp" +#include "const_range.hpp" +#include "dummy_odes.hpp" +#include "boost_units_helpers.hpp" + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; +namespace mpl = boost::mpl; +namespace fusion = boost::fusion; + +class custom_range_algebra : public range_algebra { }; +class custom_default_operations : public default_operations { }; + + +template< class Coor , class Mom , class Value , class CoorDeriv , class MomDeriv , class Time , + class Algebra , class Operations , class Resizer > +class complete_steppers : public mpl::vector< + symplectic_euler< Coor , Mom , Value , CoorDeriv , MomDeriv , Time , + Algebra , Operations , Resizer > + , symplectic_rkn_sb3a_mclachlan< Coor , Mom , Value , CoorDeriv , MomDeriv , Time , + Algebra , Operations , Resizer > + , symplectic_rkn_sb3a_m4_mclachlan< Coor , Mom , Value , CoorDeriv , MomDeriv , Time , + Algebra , Operations , Resizer > + > {}; + +template< class Resizer > +class vector_steppers : public complete_steppers< + diagnostic_state_type , diagnostic_state_type2 , double , + diagnostic_deriv_type , diagnostic_deriv_type2 , double , + custom_range_algebra , custom_default_operations , Resizer + > { }; + + +typedef mpl::vector< initially_resizer , always_resizer , never_resizer > resizers; +typedef mpl::vector_c< int , 1 , 3 , 0 > resizer_multiplicities ; + + +typedef mpl::copy< + resizers , + mpl::inserter< + mpl::vector0<> , + mpl::insert_range< + mpl::_1 , + mpl::end< mpl::_1 > , + vector_steppers< mpl::_2 > + > + > + >::type all_stepper_methods; + + +typedef mpl::size< vector_steppers< initially_resizer > >::type num_steppers; +typedef mpl::copy< + resizer_multiplicities , + mpl::inserter< + mpl::vector0<> , + mpl::insert_range< + mpl::_1 , + mpl::end< mpl::_1 > , + const_range< num_steppers , mpl::_2 > + > + > + >::type all_multiplicities; + + + + + + + +BOOST_AUTO_TEST_SUITE( symplectic_steppers_test ) + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_assoc_types , Stepper , vector_steppers< initially_resizer > ) +{ + BOOST_STATIC_ASSERT_MSG( + ( boost::is_same< typename Stepper::coor_type , diagnostic_state_type >::value ) , + "Coordinate type" ); + BOOST_STATIC_ASSERT_MSG( + ( boost::is_same< typename Stepper::momentum_type , diagnostic_state_type2 >::value ) , + "Momentum type" ); + BOOST_STATIC_ASSERT_MSG( + ( boost::is_same< typename Stepper::coor_deriv_type , diagnostic_deriv_type >::value ) , + "Coordinate deriv type" ); + BOOST_STATIC_ASSERT_MSG( + ( boost::is_same< typename Stepper::momentum_deriv_type , diagnostic_deriv_type2 >::value ) , + "Momentum deriv type" ); + + BOOST_STATIC_ASSERT_MSG( + ( boost::is_same< typename Stepper::state_type , std::pair< diagnostic_state_type , diagnostic_state_type2 > >::value ) , + "State type" ); + BOOST_STATIC_ASSERT_MSG( + ( boost::is_same< typename Stepper::deriv_type , std::pair< diagnostic_deriv_type , diagnostic_deriv_type2 > >::value ) , + "Deriv type" ); + + BOOST_STATIC_ASSERT_MSG( ( boost::is_same< typename Stepper::value_type , double >::value ) , "Value type" ); + BOOST_STATIC_ASSERT_MSG( ( boost::is_same< typename Stepper::time_type , double >::value ) , "Time type" ); + BOOST_STATIC_ASSERT_MSG( ( boost::is_same< typename Stepper::algebra_type , custom_range_algebra >::value ) , "Algebra type" ); + BOOST_STATIC_ASSERT_MSG( ( boost::is_same< typename Stepper::operations_type , custom_default_operations >::value ) , "Operations type" ); + + BOOST_STATIC_ASSERT_MSG( ( boost::is_same< typename Stepper::resizer_type , initially_resizer >::value ) , "Resizer type" ); + BOOST_STATIC_ASSERT_MSG( ( boost::is_same< typename Stepper::stepper_category , stepper_tag >::value ) , "Stepper category" ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_adjust_size , Stepper , vector_steppers< initially_resizer > ) +{ + counter_state::init_counter(); + counter_deriv::init_counter(); + counter_state2::init_counter(); + counter_deriv2::init_counter(); + + { + Stepper stepper; + diagnostic_state_type x; + stepper.adjust_size( x ); + } + + TEST_COUNTERS( counter_state , 0 , 0 , 0 , 0 ); + TEST_COUNTERS( counter_state2 , 0 , 0 , 0 , 0 ); + TEST_COUNTERS( counter_deriv , 1 , 1 , 0 , 1 ); + TEST_COUNTERS( counter_deriv2 , 1 , 1 , 0 , 1 ); +} + + +typedef mpl::zip_view< mpl::vector< all_stepper_methods , all_multiplicities > >::type zipped_steppers; +BOOST_AUTO_TEST_CASE_TEMPLATE( test_resizing , Stepper , zipped_steppers ) +{ + typedef typename mpl::at_c< Stepper , 0 >::type stepper_type; + const size_t multiplicity = mpl::at_c< Stepper , 1 >::type::value; + + counter_state::init_counter(); + counter_deriv::init_counter(); + counter_state2::init_counter(); + counter_deriv2::init_counter(); + + { + stepper_type stepper; + std::pair< diagnostic_state_type , diagnostic_state_type2 > x; + stepper.do_step( constant_mom_func() , x , 0.0 , 0.1 ); + stepper.do_step( constant_mom_func() , x , 0.0 , 0.1 ); + stepper.do_step( constant_mom_func() , x , 0.0 , 0.1 ); + } + + TEST_COUNTERS( counter_state , 0 , 0 , 0 , 0 ); + TEST_COUNTERS( counter_state2 , 0 , 0 , 0 , 0 ); + // dqdt is not needed when called with mom func only, so no resizing + // TEST_COUNTERS( counter_deriv , multiplicity , 1 , 0 , 1 ); + TEST_COUNTERS( counter_deriv2 , multiplicity , 1 , 0 , 1 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_copying1 , Stepper , vector_steppers< initially_resizer > ) +{ + counter_state::init_counter(); + counter_deriv::init_counter(); + counter_state2::init_counter(); + counter_deriv2::init_counter(); + + { + Stepper stepper; + Stepper stepper2( stepper ); + } + + TEST_COUNTERS( counter_state , 0 , 0 , 0 , 0 ); + TEST_COUNTERS( counter_state2 , 0 , 0 , 0 , 0 ); + TEST_COUNTERS( counter_deriv , 0 , 2 , 1 , 2 ); + TEST_COUNTERS( counter_deriv2 , 0 , 2 , 1 , 2 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_copying2 , Stepper , vector_steppers< initially_resizer > ) +{ + counter_state::init_counter(); + counter_deriv::init_counter(); + counter_state2::init_counter(); + counter_deriv2::init_counter(); + + { + Stepper stepper; + std::pair< diagnostic_state_type , diagnostic_state_type2 > x; + stepper.do_step( constant_mom_func() , x , 0.0 , 0.1 ); + Stepper stepper2( stepper ); + } + + TEST_COUNTERS( counter_state , 0 , 0 , 0 , 0 ); + TEST_COUNTERS( counter_state2 , 0 , 0 , 0 , 0 ); + // dqdt is not needed when called with mom func only, so no resizing + //TEST_COUNTERS( counter_deriv , 1 , 2 , 1 , 2 ); + TEST_COUNTERS( counter_deriv2 , 1 , 2 , 1 , 2 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step_v1 , Stepper , vector_steppers< initially_resizer > ) +{ + Stepper s; + std::pair< diagnostic_state_type , diagnostic_state_type2 > x1 , x2 , x3 , x4; + x1.first[0] = 1.0; + x1.second[0] = 2.0; + x2 = x3 = x4 = x1; + diagnostic_state_type x5_coor , x5_mom; + x5_coor[0] = x1.first[0]; + x5_mom[0] = x1.second[0]; + + s.do_step( constant_mom_func() , x1 , 0.0 , 0.1 ); + + s.do_step( std::make_pair( default_coor_func() , constant_mom_func() ) , x2 , 0.0 , 0.1 ); + + default_coor_func cf; + constant_mom_func mf; + s.do_step( std::make_pair( boost::ref( cf ) , boost::ref( mf ) ) , x3 , 0.0 , 0.1 ); + + std::pair< default_coor_func , constant_mom_func > pf; + s.do_step( boost::ref( pf ) , x4 , 0.0 , 0.1 ); + + s.do_step( constant_mom_func() , std::make_pair( boost::ref( x5_coor ) , boost::ref( x5_mom ) ) , 0.0 , 0.1 ); + + // checking for absolute values is not possible here, since the steppers are to different + BOOST_CHECK_CLOSE( x1.first[0] , x2.first[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( x2.first[0] , x3.first[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( x3.first[0] , x4.first[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( x4.first[0] , x5_coor[0] , 1.0e-14 ); + + BOOST_CHECK_CLOSE( x1.second[0] , x2.second[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( x2.second[0] , x3.second[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( x3.second[0] , x4.second[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( x4.second[0] , x5_mom[0] , 1.0e-14 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step_range , Stepper , vector_steppers< initially_resizer > ) +{ + Stepper s; + diagnostic_state_type q , p ; + q[0] = 1.0; + p[0] = 2.0; + + std::vector< double > x; + x.push_back( 1.0 ); + x.push_back( 2.0 ); + s.do_step( constant_mom_func() , + std::make_pair( x.begin() , x.begin() + 1 ) , + std::make_pair( x.begin() + 1 , x.begin() + 2 ) , + 0.0 , 0.1 ); + + s.do_step( constant_mom_func() , q , p , 0.0 , 0.1 ); + + BOOST_CHECK_CLOSE( q[0] , x[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( p[0] , x[1] , 1.0e-14 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step_v2 , Stepper , vector_steppers< initially_resizer > ) +{ + Stepper s; + diagnostic_state_type q , p ; + q[0] = 1.0; + p[0] = 2.0; + diagnostic_state_type q2 = q , p2 = p; + + + s.do_step( constant_mom_func() , q , p , 0.0 , 0.1 ); + s.do_step( constant_mom_func() , std::make_pair( boost::ref( q2 ) , boost::ref( p2 ) ) , 0.0 , 0.1 ); + + BOOST_CHECK_CLOSE( q[0] , q2[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( p[0] , p2[0] , 1.0e-14 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step_v3 , Stepper , vector_steppers< initially_resizer > ) +{ + Stepper s; + std::pair< diagnostic_state_type , diagnostic_state_type2 > x_in , x_out; + x_in.first[0] = 1.0; + x_in.second[0] = 2.0; + diagnostic_state_type q2 , p2; + q2[0] = x_in.first[0]; + p2[0] = x_in.second[0]; + + + s.do_step( constant_mom_func() , x_in , 0.0 , x_out , 0.1 ); + s.do_step( constant_mom_func() , std::make_pair( boost::ref( q2 ) , boost::ref( p2 ) ) , 0.0 , 0.1 ); + + BOOST_CHECK_CLOSE( x_in.first[0] , 1.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( x_in.second[0] , 2.0 , 1.0e-14 ); + BOOST_CHECK_CLOSE( x_out.first[0] , q2[0] , 1.0e-14 ); + BOOST_CHECK_CLOSE( x_out.second[0] , p2[0] , 1.0e-14 ); +} + + +typedef double vector_space; +typedef complete_steppers< vector_space , vector_space , double , + vector_space , vector_space , double , + vector_space_algebra , default_operations , initially_resizer > vector_space_steppers; +BOOST_AUTO_TEST_CASE_TEMPLATE( test_with_vector_space_algebra , Stepper , vector_space_steppers ) +{ + Stepper s; + std::pair< vector_space , vector_space > x; + s.do_step( constant_mom_func_vector_space_1d() , x , 0.0 , 0.1 ); + + s.do_step( std::make_pair( default_coor_func_vector_space_1d() , constant_mom_func_vector_space_1d() ) , x , 0.0 , 0.1 ); +} + + +typedef boost::fusion::vector< length_type > coor_type; +typedef boost::fusion::vector< velocity_type > mom_type; +typedef boost::fusion::vector< acceleration_type > acc_type; +typedef complete_steppers< coor_type , mom_type , double , + mom_type , acc_type , time_type, + fusion_algebra , default_operations , initially_resizer > boost_unit_steppers; +BOOST_AUTO_TEST_CASE_TEMPLATE( test_with_boost_units , Stepper , boost_unit_steppers ) +{ + namespace fusion = boost::fusion; + namespace si = boost::units::si; + Stepper s; + + coor_type q = fusion::make_vector( 1.0 * si::meter ); + mom_type p = fusion::make_vector( 2.0 * si::meter_per_second ); + time_type t = 0.0 * si::second; + time_type dt = 0.1 * si::second; + + coor_type q1 = q , q2 = q; + mom_type p1 = p , p2 = p; + + s.do_step( oscillator_mom_func_units() , std::make_pair( boost::ref( q ) , boost::ref( p ) ) , t , dt ); + + s.do_step( std::make_pair( oscillator_coor_func_units() , oscillator_mom_func_units() ) , + std::make_pair( boost::ref( q1 ) , boost::ref( p1 ) ) , t , dt ); + + s.do_step( oscillator_mom_func_units() , q2 , p2 , t , dt ); + + BOOST_CHECK_CLOSE( ( fusion::at_c< 0 >( q ).value() ) , ( fusion::at_c< 0 >( q1 ).value() ) , 1.0e-14 ); + BOOST_CHECK_CLOSE( ( fusion::at_c< 0 >( q1 ).value() ) , ( fusion::at_c< 0 >( q2 ).value() ) , 1.0e-14 ); + BOOST_CHECK_CLOSE( ( fusion::at_c< 0 >( p ).value() ) , ( fusion::at_c< 0 >( p1 ).value() ) , 1.0e-14 ); + BOOST_CHECK_CLOSE( ( fusion::at_c< 0 >( p1 ).value() ) , ( fusion::at_c< 0 >( p2 ).value() ) , 1.0e-14 ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/times_iterator.cpp b/src/boost/libs/numeric/odeint/test/times_iterator.cpp new file mode 100644 index 000000000..552d5af78 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/times_iterator.cpp @@ -0,0 +1,237 @@ +/* + [auto_generated] + libs/numeric/odeint/test/times_iterator.cpp + + [begin_description] + This file tests the n-step iterator. + [end_description] + + Copyright 2009-2013 Karsten Ahnert + Copyright 2009-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_times_iterator + +#include <iterator> +#include <algorithm> +#include <vector> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/times_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; + + +BOOST_AUTO_TEST_SUITE( times_iterator_test ) + +typedef mpl::vector< + dummy_stepper + , dummy_dense_output_stepper + > dummy_steppers; + +boost::array<double,4> times = {{ 0.0 , 0.1, 0.2, 0.3 }}; +typedef boost::array<double,4>::iterator time_iterator_type; + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef times_iterator< Stepper , empty_system , state_type , time_iterator_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &(*iter1) , &(*iter2) ); + BOOST_CHECK_EQUAL( &(*iter1) , &x ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( assignment_stepper_iterator , Stepper , dummy_steppers ) +{ + std::cout << "assignment" << std::endl; + typedef times_iterator< Stepper , empty_system , state_type , time_iterator_type> iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x1 , times.begin() , times.end() , 0.1 ); + iterator_type iter2 = iterator_type( Stepper() , empty_system() , x2 , times.begin() , times.end() , 0.2 ); + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &(*iter1) , &x1 ); + BOOST_CHECK_EQUAL( &(*iter2) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_factory , Stepper , dummy_steppers ) +{ + std::cout << "factory" << std::endl; + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_times_iterator_begin( stepper , boost::ref( system ) , x , times.begin(), times.end() , 0.1 ) , + make_times_iterator_end<time_iterator_type>( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + // dummy_steppers just add 0.25 at each step, the above for_each leads to 3 do_step calls so x should be 1.75 + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range , Stepper , dummy_steppers ) +{ + std::cout << "range" << std::endl; + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_times_range( stepper , boost::ref( system ) , x , times.begin() , times.end() , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_with_reference_wrapper_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_times_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , times.begin() , times.end() , 0.1 ) , + make_times_iterator_end<time_iterator_type>( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range_with_reference_wrapper , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_times_range( boost::ref( stepper ) , boost::ref( system ) , x , times.begin() , times.end(), 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef times_iterator< Stepper , empty_system , state_type , time_iterator_type > stepper_iterator; + std::cout << "transitivity1" << std::endl; + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , times.end() , times.end() , 0.1 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( first1 == last1 ); + BOOST_CHECK( first1 == last2 ); + BOOST_CHECK( last1 == last2 ); + + first1 = stepper_iterator( Stepper() , empty_system() , x , times.end()-1 , times.end() , 0.1 ); + last1 = stepper_iterator( Stepper() , empty_system() , x ); + BOOST_CHECK( first1 != last1 ); + BOOST_CHECK( ++first1 == last1 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef times_iterator< Stepper , empty_system , state_type , time_iterator_type> stepper_iterator; + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + stepper_iterator first( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); // the iterator should not iterate over the end +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_negative_time_step , Stepper , dummy_steppers ) +{ + typedef times_iterator< Stepper , empty_system , state_type , time_iterator_type > stepper_iterator; + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + boost::array<double,4> neg_times = {{ 0.0 , -0.1, -0.2, -0.3 }}; + stepper_iterator first( Stepper() , empty_system() , x , neg_times.begin() , neg_times.end() , -0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + std::copy( make_times_iterator_begin( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ) , + make_times_iterator_end<time_iterator_type>( Stepper() , empty_system() , x ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + std::vector< state_type > res; + boost::range::copy( make_times_range( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ) , + std::back_insert_iterator< std::vector< state_type > >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0][0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1][0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2][0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3][0] , 1.75 , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/times_time_iterator.cpp b/src/boost/libs/numeric/odeint/test/times_time_iterator.cpp new file mode 100644 index 000000000..274f8a621 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/times_time_iterator.cpp @@ -0,0 +1,250 @@ +/* + [auto_generated] + libs/numeric/odeint/test/times_time_iterator.cpp + + [begin_description] + This file tests the times iterator. + [end_description] + + Copyright 2009-2013 Karsten Ahnert + Copyright 2009-2013 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) + */ + + +#define BOOST_TEST_MODULE odeint_times_time_iterator + +#include <iterator> +#include <algorithm> +#include <vector> +#include <iostream> + +#include <boost/numeric/odeint/config.hpp> +#include <boost/array.hpp> +#include <boost/range/algorithm/for_each.hpp> +#include <boost/range/algorithm/copy.hpp> +#include <boost/mpl/vector.hpp> + +#include <boost/test/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> + +#include <boost/numeric/odeint/iterator/times_time_iterator.hpp> +#include "dummy_steppers.hpp" +#include "dummy_odes.hpp" +#include "dummy_observers.hpp" + +namespace mpl = boost::mpl; +using namespace boost::numeric::odeint; + +typedef dummy_stepper::state_type state_type; +typedef dummy_stepper::value_type value_type; +typedef dummy_stepper::time_type time_type; + +BOOST_AUTO_TEST_SUITE( times_time_iterator_test ) + +typedef mpl::vector< + dummy_stepper + , dummy_dense_output_stepper + > dummy_steppers; + +boost::array<double,4> times = {{ 0.0 , 0.1, 0.2, 0.3 }}; +typedef boost::array<double,4>::iterator time_iterator_type; +typedef std::vector< std::pair< state_type , time_type > > result_vector; + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_stepper_iterator , Stepper , dummy_steppers ) +{ + typedef times_time_iterator< Stepper , empty_system , state_type , time_iterator_type > iterator_type; + state_type x = {{ 1.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ); + iterator_type iter2 = iter1; + BOOST_CHECK_EQUAL( &(iter1->first) , &(iter2->first) ); + BOOST_CHECK_EQUAL( &(iter1->first) , &x ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( assignment_stepper_iterator , Stepper , dummy_steppers ) +{ + std::cout << "assignment" << std::endl; + typedef times_time_iterator< Stepper , empty_system , state_type , time_iterator_type> iterator_type; + state_type x1 = {{ 1.0 }} , x2 = {{ 2.0 }}; + iterator_type iter1 = iterator_type( Stepper() , empty_system() , x1 , times.begin() , times.end() , 0.1 ); + iterator_type iter2 = iterator_type( Stepper() , empty_system() , x2 , times.begin() , times.end() , 0.2 ); + BOOST_CHECK_EQUAL( &(iter1->first) , &x1 ); + BOOST_CHECK_EQUAL( &(iter2->first) , &x2 ); + BOOST_CHECK( !iter1.same( iter2 ) ); + iter2 = iter1; + BOOST_CHECK_EQUAL( &(iter1->first) , &x1 ); + BOOST_CHECK_EQUAL( &(iter2->first) , &x1 ); + BOOST_CHECK( iter1.same( iter2 ) ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_factory , Stepper , dummy_steppers ) +{ + std::cout << "factory" << std::endl; + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_times_time_iterator_begin( stepper , boost::ref( system ) , x , times.begin(), times.end() , 0.1 ) , + make_times_time_iterator_end<time_iterator_type>( stepper , boost::ref( system ) , x ) , + dummy_observer() ); + + // dummy_steppers just add 0.25 at each step, the above for_each leads to 3 do_step calls so x should be 1.75 + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range , Stepper , dummy_steppers ) +{ + std::cout << "range" << std::endl; + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_times_time_range( stepper , boost::ref( system ) , x , times.begin() , times.end() , 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_iterator_with_reference_wrapper_factory , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + std::for_each( + make_times_time_iterator_begin( boost::ref( stepper ) , boost::ref( system ) , x , times.begin() , times.end() , 0.1 ) , + make_times_time_iterator_end<time_iterator_type>( boost::ref( stepper ) , boost::ref( system ) , x ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( stepper_range_with_reference_wrapper , Stepper , dummy_steppers ) +{ + Stepper stepper; + empty_system system; + state_type x = {{ 1.0 }}; + + boost::for_each( make_times_time_range( boost::ref( stepper ) , boost::ref( system ) , x , times.begin() , times.end(), 0.1 ) , + dummy_observer() ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_CASE_TEMPLATE( transitivity1 , Stepper , dummy_steppers ) +{ + typedef times_time_iterator< Stepper , empty_system , state_type , time_iterator_type > stepper_iterator; + std::cout << "transitivity1" << std::endl; + state_type x = {{ 1.0 }}; + stepper_iterator first1( Stepper() , empty_system() , x , times.end() , times.end() , 0.1 ); + stepper_iterator last1( Stepper() , empty_system() , x ); + stepper_iterator last2( Stepper() , empty_system() , x ); + + BOOST_CHECK( first1 == last1 ); + BOOST_CHECK( first1 == last2 ); + BOOST_CHECK( last1 == last2 ); + + first1 = stepper_iterator( Stepper() , empty_system() , x , times.end()-1 , times.end() , 0.1 ); + last1 = stepper_iterator( Stepper() , empty_system() , x ); + BOOST_CHECK( first1 != last1 ); + BOOST_CHECK( ++first1 == last1 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm , Stepper , dummy_steppers ) +{ + typedef times_time_iterator< Stepper , empty_system , state_type , time_iterator_type> stepper_iterator; + state_type x = {{ 1.0 }}; + result_vector res; + stepper_iterator first( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + + for( size_t n=0 ; n<4 ; ++n ) + BOOST_CHECK_CLOSE( res[n].second , times[n] , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); // the iterator should not iterate over the end +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_negative_time_step , Stepper , dummy_steppers ) +{ + typedef times_time_iterator< Stepper , empty_system , state_type , time_iterator_type > stepper_iterator; + state_type x = {{ 1.0 }}; + result_vector res; + boost::array<double,4> neg_times = {{ 0.0 , -0.1, -0.2, -0.3 }}; + stepper_iterator first( Stepper() , empty_system() , x , neg_times.begin() , neg_times.end() , -0.1 ); + stepper_iterator last( Stepper() , empty_system() , x ); + + std::copy( first , last , std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + + for( size_t n=0 ; n<4 ; ++n ) + BOOST_CHECK_CLOSE( res[n].second , neg_times[n] , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + std::copy( make_times_time_iterator_begin( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ) , + make_times_time_iterator_end<time_iterator_type>( Stepper() , empty_system() , x ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + + for( size_t n=0 ; n<4 ; ++n ) + BOOST_CHECK_CLOSE( res[n].second , times[n] , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE_TEMPLATE( copy_algorithm_with_range_factory , Stepper , dummy_steppers ) +{ + state_type x = {{ 1.0 }}; + result_vector res; + boost::range::copy( make_times_time_range( Stepper() , empty_system() , x , times.begin() , times.end() , 0.1 ) , + std::back_insert_iterator< result_vector >( res ) ); + + BOOST_CHECK_EQUAL( res.size() , size_t( 4 ) ); + BOOST_CHECK_CLOSE( res[0].first[0] , 1.0 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[1].first[0] , 1.25 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[2].first[0] , 1.5 , 1.0e-13 ); + BOOST_CHECK_CLOSE( res[3].first[0] , 1.75 , 1.0e-13 ); + + for( size_t n=0 ; n<4 ; ++n ) + BOOST_CHECK_CLOSE( res[n].second , times[n] , 1.0e-13 ); + + BOOST_CHECK_CLOSE( x[0] , 1.75 , 1.0e-13 ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/trivial_state.cpp b/src/boost/libs/numeric/odeint/test/trivial_state.cpp new file mode 100644 index 000000000..9976db7fb --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/trivial_state.cpp @@ -0,0 +1,109 @@ +/* + [auto_generated] + libs/numeric/odeint/test/trivial_state.cpp + + [begin_description] + This file tests if the steppers can integrate the trivial state consisting of a single double. + [end_description] + + Copyright 2012-2013 Mario Mulansky + Copyright 2012 Karsten Ahnert + + 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 <limits> + +// disable checked iterator warning for msvc +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_trivial_state + +#include <boost/test/unit_test.hpp> + +#include <boost/mpl/vector.hpp> +#include <boost/mpl/int.hpp> +#include <boost/mpl/at.hpp> + +#include <boost/numeric/odeint/stepper/euler.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/generation.hpp> +#include <boost/numeric/odeint/integrate/integrate_adaptive.hpp> +#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +namespace mpl = boost::mpl; + +struct constant_system +{ + template< typename T > + void operator()( const T &x , T &dxdt , const T t ) const + { dxdt = 1.0; } +}; + + +BOOST_AUTO_TEST_SUITE( trivial_state_test ) + +/* test different do_step methods of simple steppers */ + +typedef mpl::vector< + euler< double > , + runge_kutta4< double > , + // with floats all four parameters have to be given explicitly to override default double + euler< float , float , float , float > , + runge_kutta4< float , float , float , float > + >::type stepper_types; + + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_do_step , T, stepper_types ) +{ + typedef T stepper_type; + stepper_type stepper; + typename stepper_type::state_type x = 0.0; + typename stepper_type::time_type t = 0.0; + typename stepper_type::time_type dt = 0.1; + stepper.do_step( constant_system() , x , t , dt ); + BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() ); + + // this overload is not allowed if the types of dxdt and dt are the same + // deriv_type dxdt = 1.0; + // stepper.do_step( constant_system , x , dxdt , t , dt ); + + typename stepper_type::state_type x_out; + stepper.do_step( constant_system() , x , t , x_out , dt ); + BOOST_CHECK_CLOSE( x , 0.1 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() ); + BOOST_CHECK_CLOSE( x_out , 0.2 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() ); +} + + +/* test integrate_adaptive with controlled steppers */ + +typedef mpl::vector< + runge_kutta_cash_karp54< double > , + runge_kutta_dopri5< double > , + // with floats all four parameters have to be given explicitly to override default double + runge_kutta_cash_karp54< float , float , float , float > , + runge_kutta_dopri5< float , float , float , float > + > error_stepper_types; + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_integrate , T , error_stepper_types ) +{ + typedef T stepper_type; + typename stepper_type::state_type x = 0.0; + typename stepper_type::time_type t0 = 0.0; + typename stepper_type::time_type t1 = 1.0; + typename stepper_type::time_type dt = 0.1; + integrate_adaptive( make_controlled< stepper_type >( 1e-6 , 1e-6 ) , constant_system() , x , t0 , t1 , dt ); + BOOST_CHECK_CLOSE( x , 1.0 , 100*std::numeric_limits< typename stepper_type::state_type >::epsilon() ); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/unwrap_boost_reference.cpp b/src/boost/libs/numeric/odeint/test/unwrap_boost_reference.cpp new file mode 100644 index 000000000..4106fdf20 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/unwrap_boost_reference.cpp @@ -0,0 +1,40 @@ +/* + [auto_generated] + libs/numeric/odeint/test/unwrap_boost_reference.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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) + */ + +#define BOOST_TEST_MODULE odeint_unwrap_boost_reference + +#include <boost/numeric/odeint/util/unwrap_reference.hpp> +#include <boost/test/unit_test.hpp> + +using namespace boost::unit_test; + +template< typename T > +void func( T t ) +{ + typedef typename boost::numeric::odeint::unwrap_reference< T >::type type; +} + +BOOST_AUTO_TEST_SUITE( unwrap_boost_reference_test ) + +BOOST_AUTO_TEST_CASE( test_case ) +{ + int a; + func( boost::ref( a ) ); + func( a ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/unwrap_reference.cpp b/src/boost/libs/numeric/odeint/test/unwrap_reference.cpp new file mode 100644 index 000000000..7337ddd3a --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/unwrap_reference.cpp @@ -0,0 +1,42 @@ +/* + [auto_generated] + libs/numeric/odeint/test/unwrap_reference.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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) + */ + + +#define BOOST_TEST_MODULE odeint_unwrap_reference + +#include <boost/numeric/odeint/util/unwrap_reference.hpp> + +#include <boost/test/unit_test.hpp> + +using namespace boost::unit_test; + +template< typename T > +void func( T t ) +{ + typedef typename boost::numeric::odeint::unwrap_reference< T >::type type; +} + +BOOST_AUTO_TEST_SUITE( unwrap_reference_test ) + +BOOST_AUTO_TEST_CASE( test_case ) +{ + int a; + func( std::ref( a ) ); + func( a ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test/velocity_verlet.cpp b/src/boost/libs/numeric/odeint/test/velocity_verlet.cpp new file mode 100644 index 000000000..93a2e97ca --- /dev/null +++ b/src/boost/libs/numeric/odeint/test/velocity_verlet.cpp @@ -0,0 +1,298 @@ +/* + [auto_generated] + libs/numeric/odeint/test/velocity_verlet.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_velocity_verlet + +#define BOOST_FUSION_INVOKE_MAX_ARITY 15 +#define BOOST_RESULT_OF_NUM_ARGS 15 + +#include <boost/numeric/odeint/config.hpp> + +#include "resizing_test_state_type.hpp" + +#include <boost/numeric/odeint/stepper/velocity_verlet.hpp> +#include <boost/numeric/odeint/algebra/fusion_algebra.hpp> + +#include <boost/array.hpp> +#include <boost/test/unit_test.hpp> + +#include <boost/units/systems/si/length.hpp> +#include <boost/units/systems/si/time.hpp> +#include <boost/units/systems/si/velocity.hpp> +#include <boost/units/systems/si/acceleration.hpp> +#include <boost/units/systems/si/io.hpp> + +#include <boost/fusion/include/vector.hpp> +#include <boost/fusion/include/vector20.hpp> +#include <boost/fusion/container.hpp> + +namespace fusion = boost::fusion; +namespace units = boost::units; +namespace si = boost::units::si; + +typedef double value_type; +typedef units::quantity< si::time , value_type > time_type; +typedef units::unit< units::derived_dimension< units::time_base_dimension , 2 >::type , si::system > time_2; +typedef units::quantity< time_2 , value_type > time_2_type; +typedef units::quantity< si::length , value_type > length_type; +typedef units::quantity< si::velocity , value_type > velocity_type; +typedef units::quantity< si::acceleration , value_type > acceleration_type; +typedef fusion::vector< length_type , length_type > coor_vector; +typedef fusion::vector< velocity_type , velocity_type > velocity_vector; +typedef fusion::vector< acceleration_type , acceleration_type > accelartion_vector; + + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +size_t ode_call_count; + +struct velocity_verlet_fixture +{ + velocity_verlet_fixture( void ) { ode_call_count = 0; adjust_size_count = 0; } +}; + +struct ode +{ + template< class CoorIn , class MomentumIn , class AccelerationOut , class Time > + void operator()( const CoorIn &q , const MomentumIn &p , AccelerationOut &a , Time t ) const + { + a[0] = -q[0] - p[0]; + a[1] = -q[1] - p[1]; + ++ode_call_count; + } +}; + +struct ode_units +{ + void operator()( coor_vector const &q , velocity_vector const &p , accelartion_vector &a , time_type t ) const + { + const units::quantity< si::frequency , value_type > omega = 1.0 * si::hertz; + const units::quantity< si::frequency , value_type > friction = 0.001 * si::hertz; + fusion::at_c< 0 >( a ) = omega * omega * fusion::at_c< 0 >( q ) - friction * fusion::at_c< 0 >( p ); + fusion::at_c< 1 >( a ) = omega * omega * fusion::at_c< 1 >( q ) - friction * fusion::at_c< 0 >( p ); + ++ode_call_count; + } +}; + +template< class Q , class P > +void init_state( Q &q , P &p ) +{ + q[0] = 1.0 ; q[1] = 0.5; + p[0] = 2.0 ; p[1] = -1.0; +} + +typedef boost::array< double , 2 > array_type; +typedef std::vector< double > vector_type; + +typedef velocity_verlet< array_type > array_stepper; +typedef velocity_verlet< vector_type > vector_stepper; + +template< typename Resizer > +struct get_resizer_test_stepper +{ + typedef velocity_verlet< test_array_type , test_array_type , double , test_array_type , + double , double , range_algebra , default_operations , Resizer > type; +}; + + + + + +BOOST_AUTO_TEST_SUITE( velocity_verlet_test ) + +BOOST_FIXTURE_TEST_CASE( test_with_array_ref , velocity_verlet_fixture ) +{ + array_stepper stepper; + array_type q , p ; + init_state( q , p ); + stepper.do_step( ode() , std::make_pair( boost::ref( q ) , boost::ref( p ) ) , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_with_array_pair , velocity_verlet_fixture ) +{ + array_stepper stepper; + std::pair< array_type , array_type > xxx; + init_state( xxx.first , xxx.second ); + stepper.do_step( ode() , xxx , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_with_vector_ref , velocity_verlet_fixture ) +{ + vector_stepper stepper; + vector_type q( 2 ) , p( 2 ); + init_state( q , p ); + stepper.do_step( ode() , std::make_pair( boost::ref( q ) , boost::ref( p ) ) , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_with_vector_pair , velocity_verlet_fixture ) +{ + vector_stepper stepper; + std::pair< vector_type , vector_type > x; + x.first.resize( 2 ) ; x.second.resize( 2 ); + init_state( x.first , x.second ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_initial_resizer , velocity_verlet_fixture ) +{ + typedef get_resizer_test_stepper< initially_resizer >::type stepper_type; + std::pair< test_array_type , test_array_type > x; + init_state( x.first , x.second ); + stepper_type stepper; + stepper.do_step( ode() , x , 0.0 , 0.01 ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 3 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_always_resizer , velocity_verlet_fixture ) +{ + typedef get_resizer_test_stepper< always_resizer >::type stepper_type; + std::pair< test_array_type , test_array_type > x; + init_state( x.first , x.second ); + stepper_type stepper; + stepper.do_step( ode() , x , 0.0 , 0.01 ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 4 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 4 ) ); // attention: one more system call, since the size of the state has been changed +} + +BOOST_FIXTURE_TEST_CASE( test_with_never_resizer , velocity_verlet_fixture ) +{ + typedef get_resizer_test_stepper< never_resizer >::type stepper_type; + std::pair< test_array_type , test_array_type > x; + init_state( x.first , x.second ); + stepper_type stepper; + stepper.do_step( ode() , x , 0.0 , 0.01 ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 0 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 3 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_reset , velocity_verlet_fixture ) +{ + typedef get_resizer_test_stepper< initially_resizer >::type stepper_type; + std::pair< test_array_type , test_array_type > x; + init_state( x.first , x.second ); + stepper_type stepper; + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 3 ) ); + stepper.reset(); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 3 ) ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 5 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_initialize1 , velocity_verlet_fixture ) +{ + typedef get_resizer_test_stepper< initially_resizer >::type stepper_type; + std::pair< test_array_type , test_array_type > x; + init_state( x.first , x.second ); + stepper_type stepper; + test_array_type ain; + ode()( x.first , x.second , ain , 0.0 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 0 ) ); + stepper.initialize( ain ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 1 ) ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_initialize2 , velocity_verlet_fixture ) +{ + typedef get_resizer_test_stepper< initially_resizer >::type stepper_type; + std::pair< test_array_type , test_array_type > x; + init_state( x.first , x.second ); + stepper_type stepper; + stepper.initialize( ode() , x.first , x.second , 0.0 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 1 ) ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + + +BOOST_FIXTURE_TEST_CASE( test_adjust_size , velocity_verlet_fixture ) +{ + typedef get_resizer_test_stepper< initially_resizer >::type stepper_type; + std::pair< test_array_type , test_array_type > x; + init_state( x.first , x.second ); + stepper_type stepper; + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 2 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); + stepper.adjust_size( x.first ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 4 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); + stepper.do_step( ode() , x , 0.0 , 0.01 ); + BOOST_CHECK_EQUAL( adjust_size_count , size_t( 4 ) ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 4 ) ); +} + +BOOST_FIXTURE_TEST_CASE( test_with_unit_pair , velocity_verlet_fixture ) +{ + typedef velocity_verlet< coor_vector , velocity_vector , value_type , accelartion_vector , + time_type , time_2_type , fusion_algebra , default_operations > stepper_type; + + std::pair< coor_vector , velocity_vector > x; + fusion::at_c< 0 >( x.first ) = 1.0 * si::meter; + fusion::at_c< 1 >( x.first ) = 0.5 * si::meter; + fusion::at_c< 0 >( x.second ) = 2.0 * si::meter_per_second; + fusion::at_c< 1 >( x.second ) = -1.0 * si::meter_per_second; + stepper_type stepper; + stepper.do_step( ode_units() , x , 0.0 * si::second , 0.01 * si::second ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + + +BOOST_FIXTURE_TEST_CASE( test_with_unit_ref , velocity_verlet_fixture ) +{ + typedef velocity_verlet< coor_vector , velocity_vector , value_type , accelartion_vector , + time_type , time_2_type , fusion_algebra , default_operations > stepper_type; + + coor_vector q; + velocity_vector p; + fusion::at_c< 0 >( q ) = 1.0 * si::meter; + fusion::at_c< 1 >( q ) = 0.5 * si::meter; + fusion::at_c< 0 >( p ) = 2.0 * si::meter_per_second; + fusion::at_c< 1 >( p ) = -1.0 * si::meter_per_second; + stepper_type stepper; + stepper.do_step( ode_units() , std::make_pair( boost::ref( q ) , boost::ref( p ) ) , 0.0 * si::second , 0.01 * si::second ); + BOOST_CHECK_EQUAL( ode_call_count , size_t( 2 ) ); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/eigen/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/eigen/Jamfile.v2 new file mode 100644 index 000000000..ad0cc2d2c --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/eigen/Jamfile.v2 @@ -0,0 +1,35 @@ +# Copyright 2012-2013 Karsten Ahnert +# Copyright 2012-2013 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) + +# bring in rules for testing + + +import testing ; +import os ; + +use-project boost : $(BOOST_ROOT) ; + +local EIGEN_ROOT = [ os.environ EIGEN_ROOT ] ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + <define>BOOST_ALL_NO_LIB=1 + <include>$(EIGEN_ROOT) + <include>../../test + <link>static + # <cxxflags>-D_SCL_SECURE_NO_WARNINGS + ; + +test-suite "odeint" + : + [ compile is_resizeable.cpp ] + [ run same_size.cpp ] + [ run resize.cpp ] + [ run runge_kutta4.cpp ] + [ run runge_kutta_dopri5.cpp ] + [ run integrate.cpp ] + : <testing.launcher>valgrind + ; diff --git a/src/boost/libs/numeric/odeint/test_external/eigen/integrate.cpp b/src/boost/libs/numeric/odeint/test_external/eigen/integrate.cpp new file mode 100644 index 000000000..c64496a83 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/eigen/integrate.cpp @@ -0,0 +1,69 @@ +/* + [auto_generated] + integrate.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2009-2012 Karsten Ahnert + Copyright 2009-2012 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_eigen_integrate + +#include <boost/numeric/odeint/integrate/integrate.hpp> +#include <boost/numeric/odeint/external/eigen/eigen.hpp> + +#include <boost/test/unit_test.hpp> + +#include "dummy_odes.hpp" + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + + +BOOST_AUTO_TEST_SUITE( eigen_integrate ) + +BOOST_AUTO_TEST_CASE( test_const_sys ) +{ + typedef Eigen::Matrix< double , 1 , 1 > state_type; + state_type x; + x[0] = 10.0; + double t_start = 0.0 , t_end = 1.0 , dt = 0.1; + integrate< double >( constant_system_functor_standard() , x , t_start , t_end , dt ); + BOOST_CHECK_CLOSE( x[0] , 11.0 , 1.0e-13 ); +} + +BOOST_AUTO_TEST_CASE( test_lorenz ) +{ + typedef Eigen::Matrix< double , 3 , 1 > state_type; + state_type x; + x[0] = 10.0; + x[1] = 10.0; + x[2] = 10.0; + double t_start = 0.0 , t_end = 1000.0 , dt = 0.1; + integrate< double >( lorenz() , x , t_start , t_end , dt ); + + std::vector< double > x2( 3 ); + x2[0] = 10.0; + x2[1] = 10.0; + x2[2] = 10.0; + integrate( lorenz() , x2 , t_start , t_end , dt ); + + BOOST_CHECK_CLOSE( x[0] , x2[0] , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[1] , x2[1] , 1.0e-13 ); + BOOST_CHECK_CLOSE( x[2] , x2[2] , 1.0e-13 ); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/eigen/is_resizeable.cpp b/src/boost/libs/numeric/odeint/test_external/eigen/is_resizeable.cpp new file mode 100644 index 000000000..5f29ee536 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/eigen/is_resizeable.cpp @@ -0,0 +1,47 @@ +/* + [auto_generated] + libs/numeric/odeint/test_external/eigen/is_resizeable.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_eigen_is_resizeable + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/external/eigen/eigen_resize.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + + +BOOST_AUTO_TEST_SUITE( is_resizeable ) + +BOOST_AUTO_TEST_CASE( test_compile_time_matrix ) +{ + typedef Eigen::Matrix< double , 1 , 1 > matrix_type; + BOOST_STATIC_ASSERT(( boost::numeric::odeint::is_resizeable< matrix_type >::value )); +} + +BOOST_AUTO_TEST_CASE( test_compile_time_array ) +{ + typedef Eigen::Array< double , 1 , 1 > array_type; + BOOST_STATIC_ASSERT(( boost::numeric::odeint::is_resizeable< array_type >::value )); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/eigen/resize.cpp b/src/boost/libs/numeric/odeint/test_external/eigen/resize.cpp new file mode 100644 index 000000000..4efcdd4d3 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/eigen/resize.cpp @@ -0,0 +1,145 @@ +/* + [auto_generated] + libs/numeric/odeint/test_external/eigen/resize.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_eigen_resize + +#include <boost/test/unit_test.hpp> +#include <boost/numeric/odeint/external/eigen/eigen_resize.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + + +BOOST_AUTO_TEST_SUITE( eigen_resize ) + +BOOST_AUTO_TEST_CASE( test_compile_time_matrix ) +{ + typedef Eigen::Matrix< double , 1 , 1 > matrix_type; + matrix_type a , b; + boost::numeric::odeint::resize( a , b ); + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); + BOOST_CHECK_EQUAL( a.rows() , 1 ); + BOOST_CHECK_EQUAL( a.cols() , 1 ); +} + +BOOST_AUTO_TEST_CASE( test_rumtime_matrix ) +{ + typedef Eigen::Matrix< double , Eigen::Dynamic , Eigen::Dynamic > matrix_type; + matrix_type a( 5 , 2 ) , b; + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 0 ); + BOOST_CHECK_EQUAL( b.cols() , 0 ); + BOOST_CHECK( !boost::numeric::odeint::same_size( a , b ) ); + + boost::numeric::odeint::resize( b , a ); + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 5 ); + BOOST_CHECK_EQUAL( b.cols() , 2 ); + + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + +BOOST_AUTO_TEST_CASE( test_rumtime_matrix2 ) +{ + typedef Eigen::Matrix< double , Eigen::Dynamic , Eigen::Dynamic > matrix_type; + matrix_type a( 5 , 2 ) , b( 2 , 3 ); + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 2 ); + BOOST_CHECK_EQUAL( b.cols() , 3 ); + BOOST_CHECK( !boost::numeric::odeint::same_size( a , b ) ); + + boost::numeric::odeint::resize( b , a ); + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 5 ); + BOOST_CHECK_EQUAL( b.cols() , 2 ); + + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + + + + + + +BOOST_AUTO_TEST_CASE( test_compile_time_array ) +{ + typedef Eigen::Array< double , 1 , 1 > array_type; + array_type a , b; + boost::numeric::odeint::resize( a , b ); + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); + BOOST_CHECK_EQUAL( a.rows() , 1 ); + BOOST_CHECK_EQUAL( a.cols() , 1 ); +} + +BOOST_AUTO_TEST_CASE( test_rumtime_array ) +{ + typedef Eigen::Array< double , Eigen::Dynamic , Eigen::Dynamic > array_type; + array_type a( 5 , 2 ) , b; + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 0 ); + BOOST_CHECK_EQUAL( b.cols() , 0 ); + BOOST_CHECK( !boost::numeric::odeint::same_size( a , b ) ); + + boost::numeric::odeint::resize( b , a ); + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 5 ); + BOOST_CHECK_EQUAL( b.cols() , 2 ); + + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + +BOOST_AUTO_TEST_CASE( test_rumtime_array2 ) +{ + typedef Eigen::Array< double , Eigen::Dynamic , Eigen::Dynamic > array_type; + array_type a( 5 , 2 ) , b( 2 , 3 ); + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 2 ); + BOOST_CHECK_EQUAL( b.cols() , 3 ); + BOOST_CHECK( !boost::numeric::odeint::same_size( a , b ) ); + + boost::numeric::odeint::resize( b , a ); + + BOOST_CHECK_EQUAL( a.rows() , 5 ); + BOOST_CHECK_EQUAL( a.cols() , 2 ); + BOOST_CHECK_EQUAL( b.rows() , 5 ); + BOOST_CHECK_EQUAL( b.cols() , 2 ); + + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/eigen/runge_kutta4.cpp b/src/boost/libs/numeric/odeint/test_external/eigen/runge_kutta4.cpp new file mode 100644 index 000000000..c4054fd15 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/eigen/runge_kutta4.cpp @@ -0,0 +1,94 @@ +/* + [auto_generated] + libs/numeric/odeint/test_external/eigen/runge_kutta4.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_eigen_runge_kutta4 + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/external/eigen/eigen_resize.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +struct sys +{ + template< class State , class Deriv > + void operator()( const State &x , Deriv &dxdt , double t ) const + { + dxdt[0] = 1.0; + } +}; + + +BOOST_AUTO_TEST_SUITE( eigen_runge_kutta4 ) + +BOOST_AUTO_TEST_CASE( compile_time_matrix ) +{ + typedef Eigen::Matrix< double , 1 , 1 > state_type; + state_type x; + x[0] = 10.0; + runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + rk4.do_step( sys() , x , 0.0 , 0.1 ); + BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); + +} + +BOOST_AUTO_TEST_CASE( runtime_matrix ) +{ + typedef Eigen::Matrix< double , Eigen::Dynamic , 1 > state_type; + state_type x( 1 ); + x[0] = 10.0; + runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + rk4.do_step( sys() , x , 0.0 , 0.1 ); + BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); +} + + + + + + +BOOST_AUTO_TEST_CASE( compile_time_array ) +{ + typedef Eigen::Array< double , 1 , 1 > state_type; + state_type x; + x[0] = 10.0; + runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + rk4.do_step( sys() , x , 0.0 , 0.1 ); + BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); + +} + +BOOST_AUTO_TEST_CASE( runtime_array ) +{ + typedef Eigen::Array< double , Eigen::Dynamic , 1 > state_type; + state_type x( 1 ); + x[0] = 10.0; + runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + rk4.do_step( sys() , x , 0.0 , 0.1 ); + BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/eigen/runge_kutta_dopri5.cpp b/src/boost/libs/numeric/odeint/test_external/eigen/runge_kutta_dopri5.cpp new file mode 100644 index 000000000..516f04f75 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/eigen/runge_kutta_dopri5.cpp @@ -0,0 +1,132 @@ +/* + [auto_generated] + libs/numeric/odeint/test_external/eigen/runge_kutta_dopri5.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_eigen_runge_kutta4 + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/stepper/controlled_runge_kutta.hpp> +#include <boost/numeric/odeint/stepper/dense_output_runge_kutta.hpp> + +// #include <boost/numeric/odeint/external/eigen/eigen_resize.hpp> +#include <boost/numeric/odeint/external/eigen/eigen_algebra.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +struct sys +{ + template< class State , class Deriv > + void operator()( const State &x , Deriv &dxdt , double t ) const + { + dxdt[0] = 1.0; + } +}; + +template< class State > +struct stepper +{ + typedef runge_kutta_dopri5< State , double , State , double , vector_space_algebra > type; +}; + +template< class State > +struct controlled_stepper +{ + typedef controlled_runge_kutta< typename stepper< State >::type > type; +}; + +template< class State > +struct dense_output_stepper +{ + typedef dense_output_runge_kutta< typename controlled_stepper< State >::type > type; +}; + + + + +BOOST_AUTO_TEST_SUITE( eigen_runge_kutta_dopri5 ) + +BOOST_AUTO_TEST_CASE( compile_time_matrix ) +{ + typedef Eigen::Matrix< double , 1 , 1 > state_type; + state_type x; + x[0] = 10.0; + double t = 0.0 , dt = 0.1 ; + + // dense_output_stepper< state_type >::type s; + // s.initialize( x , t , dt ); + + // controlled_stepper< state_type >::type s; + // s.try_step( sys() , x , t , dt ); + + stepper< state_type >::type s; + s.do_step( sys() , x , t , dt ); + + // runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + // rk4.do_step( sys() , x , 0.0 , 0.1 ); + // BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); + +} + +BOOST_AUTO_TEST_CASE( runtime_matrix ) +{ + typedef Eigen::Matrix< double , Eigen::Dynamic , 1 > state_type; + state_type x( 1 ); + x[0] = 10.0; + + // runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + // rk4.do_step( sys() , x , 0.0 , 0.1 ); + // BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); +} + + + + + + +BOOST_AUTO_TEST_CASE( compile_time_array ) +{ + typedef Eigen::Array< double , 1 , 1 > state_type; + state_type x; + x[0] = 10.0; + // runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + // rk4.do_step( sys() , x , 0.0 , 0.1 ); + // BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); + +} + +BOOST_AUTO_TEST_CASE( runtime_array ) +{ + typedef Eigen::Array< double , Eigen::Dynamic , 1 > state_type; + state_type x( 1 ); + x[0] = 10.0; + // runge_kutta4< state_type , double , state_type , double , vector_space_algebra > rk4; + // rk4.do_step( sys() , x , 0.0 , 0.1 ); + // BOOST_CHECK_CLOSE( x[0] , 10.1 , 1.0e-13 ); +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/eigen/same_size.cpp b/src/boost/libs/numeric/odeint/test_external/eigen/same_size.cpp new file mode 100644 index 000000000..ea771f920 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/eigen/same_size.cpp @@ -0,0 +1,83 @@ +/* + [auto_generated] + libs/numeric/odeint/test_external/eigen/same_size.cpp + + [begin_description] + tba. + [end_description] + + Copyright 2013 Karsten Ahnert + Copyright 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 <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_eigen_same_size + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/external/eigen/eigen_resize.hpp> + + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + + +BOOST_AUTO_TEST_SUITE( eigen_same_size ) + +BOOST_AUTO_TEST_CASE( compile_time_matrix ) +{ + typedef Eigen::Matrix< double , 1 , 1 > matrix_type; + matrix_type a , b; + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + +BOOST_AUTO_TEST_CASE( runtime_matrix ) +{ + typedef Eigen::Matrix< double , Eigen::Dynamic , Eigen::Dynamic > matrix_type; + matrix_type a( 10 , 2 ) , b( 10 , 2 ); + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + +BOOST_AUTO_TEST_CASE( fail_runtime_matrix ) +{ + typedef Eigen::Matrix< double , Eigen::Dynamic , Eigen::Dynamic > matrix_type; + matrix_type a( 11 , 2 ) , b( 10 , 2 ); + BOOST_CHECK( !boost::numeric::odeint::same_size( a , b ) ); + +} + + + +BOOST_AUTO_TEST_CASE( compile_time_array ) +{ + typedef Eigen::Array< double , 1 , 1 > array_type; + array_type a , b; + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + +BOOST_AUTO_TEST_CASE( runtime_array ) +{ + typedef Eigen::Array< double , Eigen::Dynamic , Eigen::Dynamic > array_type; + array_type a( 10 , 2 ) , b( 10 , 2 ); + BOOST_CHECK( boost::numeric::odeint::same_size( a , b ) ); +} + +BOOST_AUTO_TEST_CASE( fail_runtime_array ) +{ + typedef Eigen::Array< double , Eigen::Dynamic , Eigen::Dynamic > array_type; + array_type a( 11 , 2 ) , b( 10 , 2 ); + BOOST_CHECK( !boost::numeric::odeint::same_size( a , b ) ); + +} + + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/gmp/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/gmp/Jamfile.v2 new file mode 100644 index 000000000..f0e6af02c --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/gmp/Jamfile.v2 @@ -0,0 +1,26 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 2012 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) + +# bring in rules for testing + +import testing ; +use-project boost : $(BOOST_ROOT) ; + +project gmp + : requirements + <library>/boost/test//boost_unit_test_framework + ; + + +lib libgmp : : <name>gmp <link>shared ; +lib libgmpxx : : <name>gmpxx <link>shared ; + +test-suite "gmp" + : + [ run check_gmp.cpp libgmpxx libgmp : : : <link>shared:<define>BOOST_TEST_DYN_LINK=1 ] + [ run gmp_integrate.cpp libgmpxx libgmp : : : <link>shared:<define>BOOST_TEST_DYN_LINK=1 ] + ; + + diff --git a/src/boost/libs/numeric/odeint/test_external/gmp/check_gmp.cpp b/src/boost/libs/numeric/odeint/test_external/gmp/check_gmp.cpp new file mode 100644 index 000000000..04b3e101d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/gmp/check_gmp.cpp @@ -0,0 +1,165 @@ +/* Boost check_gmp.cpp test file + + Copyright 2010-2012 Mario Mulansky + Copyright 2011-2012 Karsten Ahnert + + This file tests the odeint library with the gmp arbitrary precision 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_gmp + +#include <iostream> + +#include <gmpxx.h> + +#include <boost/test/unit_test.hpp> +#include <boost/array.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> +//#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +namespace mpl = boost::mpl; + +const int precision = 1024; + +typedef mpf_class value_type; +typedef mpf_class state_type; + +//provide min, max and pow functions for mpf types - required for controlled steppers +value_type min( const value_type a , const value_type b ) +{ + if( a<b ) return a; + else return b; +} +value_type max( const value_type a , const value_type b ) +{ + if( a>b ) return a; + else return b; +} +value_type pow( const value_type a , const value_type b ) +{ + // do calculation in double precision + return value_type( std::pow( a.get_d() , b.get_d() ) ); +} + + +//provide vector_space reduce: + +namespace boost { namespace numeric { namespace odeint { + +template<> +struct vector_space_reduce< state_type > +{ + template< class Op > + state_type operator()( state_type x , Op op , state_type init ) const + { + init = op( init , x ); + return init; + } +}; + +} } } + + +void constant_system( const state_type &x , state_type &dxdt , value_type t ) +{ + dxdt = value_type( 1.0 , precision ); +} + + +/* check runge kutta stepers */ +typedef mpl::vector< + euler< state_type , value_type , state_type , value_type , vector_space_algebra > , + modified_midpoint< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta4< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta4_classic< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_cash_karp54_classic< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_cash_karp54< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_dopri5< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_fehlberg78< state_type , value_type , state_type , value_type , vector_space_algebra > + > stepper_types; + + +template< class Stepper > +struct perform_runge_kutta_test { + + void operator()( void ) + { + /* We have to specify the desired precision in advance! */ + mpf_set_default_prec( precision ); + + mpf_t eps_ , unity; + mpf_init( eps_ ); mpf_init( unity ); + mpf_set_d( unity , 1.0 ); + mpf_div_2exp( eps_ , unity , precision-1 ); // 2^(-precision+1) : smallest number that can be represented with used precision + value_type eps( eps_ ); + + Stepper stepper; + state_type x; + x = 0.0; + + stepper.do_step( constant_system , x , 0.0 , 0.1 ); + + BOOST_MESSAGE( eps ); + BOOST_CHECK_MESSAGE( abs( x - value_type( 0.1 , precision ) ) < eps , x - 0.1 ); + } +}; + + +BOOST_AUTO_TEST_CASE_TEMPLATE( runge_kutta_stepper_test , Stepper , stepper_types ) +{ + perform_runge_kutta_test< Stepper > tester; + tester(); +} + + +/* check controlled steppers */ +typedef mpl::vector< + controlled_runge_kutta< runge_kutta_cash_karp54_classic< state_type , value_type , state_type , value_type , vector_space_algebra > > , + controlled_runge_kutta< runge_kutta_dopri5< state_type , value_type , state_type , value_type , vector_space_algebra > > , + controlled_runge_kutta< runge_kutta_fehlberg78< state_type , value_type , state_type , value_type , vector_space_algebra > > , + bulirsch_stoer< state_type , value_type , state_type , value_type , vector_space_algebra > + > controlled_stepper_types; + + +template< class Stepper > +struct perform_controlled_test { + + void operator()( void ) + { + mpf_set_default_prec( precision ); + + mpf_t eps_ , unity; + mpf_init( eps_ ); mpf_init( unity ); + mpf_set_d( unity , 1.0 ); + mpf_div_2exp( eps_ , unity , precision-1 ); // 2^(-precision+1) : smallest number that can be represented with used precision + value_type eps( eps_ ); + + Stepper stepper; + state_type x; + x = 0.0; + + value_type t(0.0); + value_type dt(0.1); + + stepper.try_step( constant_system , x , t , dt ); + + BOOST_MESSAGE( eps ); + BOOST_CHECK_MESSAGE( abs( x - value_type( 0.1 , precision ) ) < eps , x - 0.1 ); + } +}; + +BOOST_AUTO_TEST_CASE_TEMPLATE( controlled_stepper_test , Stepper , controlled_stepper_types ) +{ + perform_controlled_test< Stepper > tester; + tester(); +} diff --git a/src/boost/libs/numeric/odeint/test_external/gmp/gmp_integrate.cpp b/src/boost/libs/numeric/odeint/test_external/gmp/gmp_integrate.cpp new file mode 100644 index 000000000..0a6be30b1 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/gmp/gmp_integrate.cpp @@ -0,0 +1,169 @@ +/* Boost check_gmp.cpp test file + + Copyright 2010-2012 Mario Mulansky + Copyright 2011-2012 Karsten Ahnert + + This file tests the odeint library with the gmp arbitrary precision 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_gmp + +#include <gmpxx.h> + +#include <boost/test/unit_test.hpp> +#include <boost/array.hpp> + +#include <boost/mpl/vector.hpp> + +#include <boost/numeric/odeint.hpp> +//#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +namespace mpl = boost::mpl; + +const int precision = 1024; + +typedef mpf_class value_type; +typedef mpf_class state_type; + +//provide min, max and pow functions for mpf types - required for controlled steppers +value_type min( const value_type a , const value_type b ) +{ + if( a<b ) return a; + else return b; +} +value_type max( const value_type a , const value_type b ) +{ + if( a>b ) return a; + else return b; +} +value_type pow( const value_type a , const value_type b ) +{ + // do the calculation in double precision... + return value_type( std::pow( a.get_d() , b.get_d() ) ); +} + + +//provide vector_space reduce: + +namespace boost { namespace numeric { namespace odeint { + +template<> +struct vector_space_reduce< state_type > +{ + template< class Op > + state_type operator()( state_type x , Op op , state_type init ) const + { + init = op( init , x ); + return init; + } +}; + +} } } + + +void constant_system( const state_type &x , state_type &dxdt , value_type t ) +{ + dxdt = value_type( 1.0 , precision ); +} + +/* check runge kutta stepers */ +typedef mpl::vector< + euler< state_type , value_type , state_type , value_type , vector_space_algebra > , + modified_midpoint< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta4< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta4_classic< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_cash_karp54_classic< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_cash_karp54< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_dopri5< state_type , value_type , state_type , value_type , vector_space_algebra > , + runge_kutta_fehlberg78< state_type , value_type , state_type , value_type , vector_space_algebra > + > stepper_types; + + +template< class Stepper > +struct perform_integrate_const_test { + + void operator()( void ) + { + /* We have to specify the desired precision in advance! */ + mpf_set_default_prec( precision ); + + mpf_t eps_ , unity; + mpf_init( eps_ ); mpf_init( unity ); + mpf_set_d( unity , 1.0 ); + mpf_div_2exp( eps_ , unity , precision-1 ); // 2^(-precision+1) : smallest number that can be represented with used precision + value_type eps( eps_ ); + + Stepper stepper; + state_type x; + x = 0.0; + value_type t0( 0.0 ); + value_type tend( 1.0 ); + value_type dt(0.1); + + integrate_const( stepper , constant_system , x , t0 , tend , dt ); + + x = 0.0; + t0 = 0.0; + dt = 0.1; + size_t steps = 10; + + integrate_n_steps( stepper , constant_system , x , t0 , dt , steps ); + + BOOST_CHECK_MESSAGE( abs( x - 10*dt ) < eps , x ); + } +}; + + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_const_test , Stepper , stepper_types ) +{ + perform_integrate_const_test< Stepper > tester; + tester(); +} + + +typedef mpl::vector< + controlled_runge_kutta< runge_kutta_cash_karp54_classic< state_type , value_type , state_type , value_type , vector_space_algebra > > , + controlled_runge_kutta< runge_kutta_dopri5< state_type , value_type , state_type , value_type , vector_space_algebra > > , + controlled_runge_kutta< runge_kutta_fehlberg78< state_type , value_type , state_type , value_type , vector_space_algebra > > , + bulirsch_stoer< state_type , value_type , state_type , value_type , vector_space_algebra > + > controlled_stepper_types; + + +template< class Stepper > +struct perform_integrate_adaptive_test { + + void operator()( void ) + { + mpf_set_default_prec( precision ); + + mpf_t eps_ , unity; + mpf_init( eps_ ); mpf_init( unity ); + mpf_set_d( unity , 1.0 ); + mpf_div_2exp( eps_ , unity , precision-1 ); // 2^(-precision+1) : smallest number that can be represented with used precision + value_type eps( eps_ ); + + Stepper stepper; + state_type x; + x = 0.0; + value_type t0( 0.0 ); + value_type tend( 1.0 ); + value_type dt(0.1); + + integrate_adaptive( stepper , constant_system , x , t0 , tend , dt ); + + BOOST_CHECK_MESSAGE( abs( x - tend ) < eps , x - 0.1 ); + } +}; + +BOOST_AUTO_TEST_CASE_TEMPLATE( integrate_adaptive__test , Stepper , controlled_stepper_types ) +{ + perform_integrate_adaptive_test< Stepper > tester; + tester(); +} diff --git a/src/boost/libs/numeric/odeint/test_external/gsl/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/gsl/Jamfile.v2 new file mode 100644 index 000000000..086edf6ea --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/gsl/Jamfile.v2 @@ -0,0 +1,28 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 2012 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) + +# bring in rules for testing + +import testing ; +use-project boost : $(BOOST_ROOT) ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + ; + + +lib libgsl : : <name>gsl <link>shared ; +lib libgslcblas : : <name>gslcblas <link>shared ; + +test-suite "gsl" + : + [ run check_gsl.cpp libgslcblas libgsl + : + : + : <link>shared:<define>BOOST_TEST_DYN_LINK=1 + ] + ; + diff --git a/src/boost/libs/numeric/odeint/test_external/gsl/check_gsl.cpp b/src/boost/libs/numeric/odeint/test_external/gsl/check_gsl.cpp new file mode 100644 index 000000000..3e7856dd2 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/gsl/check_gsl.cpp @@ -0,0 +1,58 @@ +/* Boost check_gmp.cpp test file + + Copyright 2010-2011 Karsten Ahnert + Copyright 2011 Mario Mulansky + + This file tests the odeint library with the gmp arbitrary precision 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_gsl + +#include <gsl/gsl_vector.h> +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/external/gsl/gsl_wrapper.hpp> + +#include <boost/test/unit_test.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef gsl_vector *state_type; + +const double sigma = 10.0; +const double R = 28.0; +const double b = 8.0 / 3.0; + +void lorenz( const state_type x , state_type dxdt , double t ) +{ + gsl_vector_set( dxdt , 0 , sigma * ( gsl_vector_get(x , 1 ) - gsl_vector_get( x , 0 ) ) ); + gsl_vector_set( dxdt , 1 , R * gsl_vector_get( x , 0 ) - gsl_vector_get( x , 1 ) - gsl_vector_get( x , 0 ) * gsl_vector_get( x , 2) ); + gsl_vector_set( dxdt , 2 , gsl_vector_get( x , 0 ) * gsl_vector_get( x , 1 ) - b * gsl_vector_get( x , 2) ); +} + +BOOST_AUTO_TEST_CASE( gsl ) +{ + euler< state_type > euler; + + state_type x = gsl_vector_alloc( 3 ); + + // check resizing + state_type y = 0; + boost::numeric::odeint::resize( y , x ); + BOOST_CHECK( 0 != y ); + + gsl_vector_set( x , 0 , 1.0); + gsl_vector_set( x , 1 , 1.0); + gsl_vector_set( x , 2 , 2.0); + + euler.do_step( lorenz , x , 0.0 , 0.1 ); + + //cout << gsl_vector_get( x , 0 ) << " " << gsl_vector_get( x , 1 ) << " " << gsl_vector_get( x , 2 ) << endl; + + gsl_vector_free( x ); + +} diff --git a/src/boost/libs/numeric/odeint/test_external/mkl/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/mkl/Jamfile.v2 new file mode 100644 index 000000000..f585fa83d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mkl/Jamfile.v2 @@ -0,0 +1,30 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 2012 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) + +# bring in rules for testing + +import testing ; +use-project boost : $(BOOST_ROOT) ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + ; + + +lib libmkl : : <name>mkl_intel_lp64 <link>shared ; +lib libmkl_core : : <name>mkl_core <link>shared ; +lib libmkl_intel_thread : : <name>mkl_intel_thread ; +lib libiomp5 : : <name>iomp5 ; +lib libpthread : : <name>pthread ; + +test-suite "mkl" + : + [ run check_mkl.cpp libpthread libiomp5 libmkl_core libmkl_intel_thread libmkl + : + : + : <link>shared:<define>BOOST_TEST_DYN_LINK=1 + ] + ; diff --git a/src/boost/libs/numeric/odeint/test_external/mkl/check_mkl.cpp b/src/boost/libs/numeric/odeint/test_external/mkl/check_mkl.cpp new file mode 100644 index 000000000..bedbd66de --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mkl/check_mkl.cpp @@ -0,0 +1,51 @@ +/* Boost check_mkl.cpp test file + + Copyright 2010-2011 Mario Mulansky + Copyright 2011 Karsten Ahnert + + This file tests the odeint library with the intel mkl blas1 routines + + 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 test_mkl + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/stepper/runge_kutta4.hpp> +#include <boost/numeric/odeint/algebra/vector_space_algebra.hpp> +#include <boost/numeric/odeint/external/mkl/mkl_operations.hpp> + +using namespace boost::numeric::odeint; + +typedef double value_type; +typedef boost::array< value_type , 1 > state_type; + + +void constant_system( state_type &x , state_type &dxdt , value_type t ) +{ + dxdt[0] = 1.0; +} + +const double eps = 1E-14; + + +BOOST_AUTO_TEST_CASE( test_mkl ) +{ + + //to use mkl routines we have to use the vector_space_algebra and the mkl_operations + runge_kutta4< state_type , value_type , state_type , value_type , vector_space_algebra , mkl_operations > stepper; + state_type x; + x[0] = 0.0; + + stepper.do_step( constant_system , x , 0.0 , 0.1 ); + + using std::abs; + + std::cout << x[0] << " ?= " << 0.1 << std::endl; + BOOST_CHECK_SMALL( abs( x[0] - 0.1 ) , eps ); + +} diff --git a/src/boost/libs/numeric/odeint/test_external/mpi/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/mpi/Jamfile.v2 new file mode 100644 index 000000000..0a02bccff --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mpi/Jamfile.v2 @@ -0,0 +1,27 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 2012-2013 Mario Mulansky +# Copyright 2013 Pascal Germroth +# 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) + +import testing ; +import mpi : mpi-test ; + +use-project boost : $(BOOST_ROOT) ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + <library>/boost//mpi + <link>static + <define>BOOST_ALL_NO_LIB=1 + ; + +# mpi-test name : source : req : np=1 2 3 4 7 8 13 17 +test-suite "odeint-mpi" + : + [ mpi-test split_test ] + [ mpi-test state_test ] + [ mpi-test norm_test ] + ; + diff --git a/src/boost/libs/numeric/odeint/test_external/mpi/norm_test.cpp b/src/boost/libs/numeric/odeint/test_external/mpi/norm_test.cpp new file mode 100644 index 000000000..69f1d4065 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mpi/norm_test.cpp @@ -0,0 +1,62 @@ +/* + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + 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 <sstream> +#include <cstdlib> + +#define BOOST_TEST_MODULE odeint_mpi +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/external/mpi/mpi.hpp> + +using namespace boost::numeric::odeint; + +boost::mpi::environment env; + +BOOST_AUTO_TEST_SUITE( norm_test_suite ) + +BOOST_AUTO_TEST_CASE( norm_test ) +{ + boost::mpi::communicator world; + + int ref_value = 0; + std::vector<int> in_data; + mpi_state< std::vector<int> > state(world); + + // generate data and reference value on master + if(world.rank() == 0) { + for(size_t i = 0 ; i < 400 ; i++) + in_data.push_back( rand() % 10000 ); + ref_value = *std::max_element(in_data.begin(), in_data.end()); + } + boost::mpi::broadcast(world, ref_value, 0); + + // copy to nodes + split( in_data, state ); + + int value = mpi_nested_algebra< range_algebra >::norm_inf( state ); + + { + std::ostringstream ss; + ss << "state[" << world.rank() << "]" + << " local:" << range_algebra::norm_inf( state() ) + << " global:" << value + << " ref:" << ref_value << "\n"; + std::clog << ss.str() << std::flush; + } + + BOOST_REQUIRE_EQUAL( value, ref_value ); +} + + +BOOST_AUTO_TEST_SUITE_END() + + diff --git a/src/boost/libs/numeric/odeint/test_external/mpi/split_test.cpp b/src/boost/libs/numeric/odeint/test_external/mpi/split_test.cpp new file mode 100644 index 000000000..f78a60149 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mpi/split_test.cpp @@ -0,0 +1,61 @@ +/* + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + 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 <sstream> + +#define BOOST_TEST_MODULE odeint_mpi +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/external/mpi/mpi.hpp> + +using namespace boost::numeric::odeint; + +boost::mpi::environment env; + +BOOST_AUTO_TEST_SUITE( split_test_suite ) + +BOOST_AUTO_TEST_CASE( split_test ) +{ + boost::mpi::communicator world; + + const size_t total_size = 31; + + std::vector<size_t> in_data, out_data; + mpi_state< std::vector<size_t> > state(world); + + // generate data on master + if(world.rank() == 0) + for(size_t i = 0 ; i < total_size ; i++) in_data.push_back(i); + + // copy to nodes + split( in_data, state ); + + BOOST_REQUIRE((state().size() == total_size / world.size()) + || (state().size() == total_size / world.size() + 1)); + + { + std::ostringstream ss; + ss << "state[" << world.rank() << "].data = {"; + std::copy(state().begin(), state().end(), std::ostream_iterator<size_t>(ss, ", ")); + ss << "}\n"; + std::clog << ss.str() << std::flush; + } + + // copy back to master + if(world.rank() == 0) out_data.resize(in_data.size()); + unsplit( state, out_data ); + + if(world.rank() == 0) + BOOST_REQUIRE_EQUAL_COLLECTIONS(in_data.begin(), in_data.end(), out_data.begin(), out_data.end()); +} + + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/mpi/state_test.cpp b/src/boost/libs/numeric/odeint/test_external/mpi/state_test.cpp new file mode 100644 index 000000000..490b46e0d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mpi/state_test.cpp @@ -0,0 +1,78 @@ +/* + Copyright 2013 Karsten Ahnert + Copyright 2013 Mario Mulansky + Copyright 2013 Pascal Germroth + + 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 <sstream> + +#define BOOST_TEST_MODULE odeint_mpi +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/external/mpi/mpi.hpp> + +using namespace boost::numeric::odeint; + +boost::mpi::environment env; + +BOOST_AUTO_TEST_SUITE( state_test_suite ) + +BOOST_AUTO_TEST_CASE( state_test ) +{ + boost::mpi::communicator world; + + std::vector<size_t> in_data1, in_data2; + mpi_state< std::vector<size_t> > state1(world), state2(world); + + // generate data on master + if(world.rank() == 0) { + in_data1.resize(31); + in_data2.resize(33); + for(size_t i = 0 ; i < in_data2.size() ; i++) + in_data2[i] = i; + } + + // copy to nodes + split( in_data1, state1 ); + split( in_data2, state2 ); + + { + std::ostringstream ss; + ss << "state[" << world.rank() << "] {" + << state1().size() << ", " + << state2().size() << "}\n"; + std::clog << ss.str() << std::flush; + } + + // compare size + BOOST_REQUIRE( !same_size( state1, state2 ) ); + + // resize state1 to match state2. + resize( state1, state2 ); + + { + std::ostringstream ss; + ss << "state[" << world.rank() << "] 1:" + << state1().size() << " 2:" + << state2().size() << "\n"; + std::clog << ss.str() << std::flush; + } + + // compare size + BOOST_REQUIRE( same_size( state1, state2 ) ); + + // copy state2 to state1 + copy( state2, state1 ); + + BOOST_REQUIRE_EQUAL_COLLECTIONS(state1().begin(), state1().end(), + state2().begin(), state2().end()); +} + + +BOOST_AUTO_TEST_SUITE_END() + diff --git a/src/boost/libs/numeric/odeint/test_external/mtl4/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/mtl4/Jamfile.v2 new file mode 100644 index 000000000..de9d87f2c --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mtl4/Jamfile.v2 @@ -0,0 +1,30 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 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) + +import testing ; +import boost ; + +# boost.use-project ; +use-project boost : $(BOOST_ROOT) ; + +# set your MTL4 directory here +MTL4_INCLUDE = /home/mario/MTL4/usr/include ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + <include>$(MTL4_INCLUDE) + <define>BOOST_ALL_NO_LIB=1 + <link>static + : + : default-build release + ; + +test-suite "odeint-mtl4" + : + [ run mtl4_resize.cpp ] + : <testing.launcher>valgrind + ; diff --git a/src/boost/libs/numeric/odeint/test_external/mtl4/mtl4_resize.cpp b/src/boost/libs/numeric/odeint/test_external/mtl4/mtl4_resize.cpp new file mode 100644 index 000000000..7ef985d3d --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/mtl4/mtl4_resize.cpp @@ -0,0 +1,89 @@ +/* Boost mtl4_resize.cpp test file + + Copyright 2012 Karsten Ahnert + Copyright 2012 Mario Mulansky + + This file tests the odeint library with the mtl4 routines. + + 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 test_mtl4_resize + +#include <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/external/mtl4/mtl4_resize.hpp> +#include <boost/numeric/mtl/vector/dense_vector.hpp> + +namespace odeint = boost::numeric::odeint; + + +BOOST_AUTO_TEST_CASE( test_dense_vector_resizeability ) +{ + BOOST_CHECK( odeint::is_resizeable< mtl::dense_vector< double > >::value ); +} + +BOOST_AUTO_TEST_CASE( test_dense2D_resizeability ) +{ + BOOST_CHECK( odeint::is_resizeable< mtl::dense2D< double > >::value ); +} + +BOOST_AUTO_TEST_CASE( test_compressed2D_resizeability ) +{ + BOOST_CHECK( odeint::is_resizeable< mtl::compressed2D< double > >::value ); +} + + + +BOOST_AUTO_TEST_CASE( test_dense_vector_vector_same_size ) +{ + mtl::dense_vector< double > v1( 10 ) , v2( 10 ); + BOOST_CHECK( odeint::same_size( v2 , v1 ) ); +} + +BOOST_AUTO_TEST_CASE( test_dense_vector_dense2D_same_size ) +{ + mtl::dense_vector< double > v( 10 ); + mtl::dense2D< double > m( 10 , 10 ); + BOOST_CHECK( odeint::same_size( m , v ) ); +} + +BOOST_AUTO_TEST_CASE( test_dense_vector_compressed2D_same_size ) +{ + mtl::dense_vector< double > v( 10 ); + mtl::compressed2D< double > m( 10 , 10 ); + BOOST_CHECK( odeint::same_size( m , v ) ); +} + + + + +BOOST_AUTO_TEST_CASE( test_dense_vector_vector_resize ) +{ + mtl::dense_vector< double > v1( 10 ); + mtl::dense_vector< double > v2; + odeint::resize( v2 , v1 ); + BOOST_CHECK( mtl::size( v2 ) == mtl::size( v1 ) ); +} + +BOOST_AUTO_TEST_CASE( test_dense_vector_dense2D_resize ) +{ + mtl::dense_vector< double > v( 10 ); + mtl::dense2D< double > m; + + odeint::resize( m , v ); + BOOST_CHECK( m.num_cols() == mtl::size( v ) ); + BOOST_CHECK( m.num_rows() == mtl::size( v ) ); +} + +BOOST_AUTO_TEST_CASE( test_dense_vector_compressed2D_resize ) +{ + mtl::dense_vector< double > v( 10 ); + mtl::compressed2D< double > m; + + odeint::resize( m , v ); + BOOST_CHECK( m.num_cols() == mtl::size( v ) ); + BOOST_CHECK( m.num_rows() == mtl::size( v ) ); +} diff --git a/src/boost/libs/numeric/odeint/test_external/nt2/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/nt2/Jamfile.v2 new file mode 100644 index 000000000..26763da6e --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/nt2/Jamfile.v2 @@ -0,0 +1,44 @@ +#============================================================================== +# Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +# Copyright 2014 NumScale SAS +# +# Distributed under the Boost Software License, Version 1.0. +# See accompanying file LICENSE.txt or copy at +# http://www.boost.org/LICENSE_1_0.txt +#============================================================================== + +import testing ; +import os ; + +# This must be built using an NT2 installation. +# NT2_ROOT_PATH should point to the build directory. +# Currently, cxxflags needs to be set to the required architecture +# if using avx/avx2, set the environemnt variable NT2_SIMD_FLAGS to the +# required value for your compiler (i.e. -mavx2 on g++) +# If using sse2/3/4 in 64 bits, this is set automatically. + +local NT2_ROOT_PATH = [ os.environ NT2_ROOT_PATH ] ; +local NT2_SIMD_FLAGS = [ os.environ NT2_SIMD_FLAGS ] ; + +use-project boost : $(BOOST_ROOT) ; + +project + : requirements + <library>$(BOOST_ROOT)/boost/test/included/unit_test_framework.hpp + <define>BOOST_ALL_NO_LIB=1 + <include>$(NT2_ROOT_PATH)/include/ + <link>static + <toolset>gcc:<cxxflags>-DBOOST_SIMD_NO_STRICT_ALIASING + <toolset>gcc:<cxxflags>-fno-strict-aliasing + <cxxflags>$(NT2_SIMD_FLAGS) + ; + +test-suite "odeint" + : + [ run copy.cpp ] + [ run norm_inf.cpp ] + [ run resize.cpp ] + [ run is_resizeable.cpp ] + [ run algebra_dispatcher.cpp ] + : <testing.launcher>valgrind + ; diff --git a/src/boost/libs/numeric/odeint/test_external/nt2/algebra_dispatcher.cpp b/src/boost/libs/numeric/odeint/test_external/nt2/algebra_dispatcher.cpp new file mode 100644 index 000000000..bea6349eb --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/nt2/algebra_dispatcher.cpp @@ -0,0 +1,55 @@ +//============================================================================== +// Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +// Copyright 2014 NumScale SAS +// +// Distributed under the Boost Software License, Version 1.0. +// See accompanying file LICENSE.txt or copy at +// http://www.boost.org/LICENSE_1_0.txt +//============================================================================== +#define BOOST_TEST_MODULE odeint_nt2_algebra_dispatcher + +#include <boost/test/included/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> +#include <boost/numeric/odeint/external/nt2/nt2_algebra_dispatcher.hpp> +#include <boost/numeric/odeint/algebra/default_operations.hpp> +#include <boost/mpl/list.hpp> + +#include <boost/preprocessor/repetition.hpp> +#include <boost/preprocessor/arithmetic/mul.hpp> + +#include <nt2/table.hpp> +#include <nt2/sdk/meta/as.hpp> +#include <nt2/include/functions/ones.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef boost::mpl::list< float , double > fp_types; + +#define TABLE(z,n,text) nt2::table<T> y ## n = \ + nt2::ones(1,2,nt2::meta::as_<T>() )*T(BOOST_PP_ADD(n,1)); + +#define PARAMS(z,n,text) T(BOOST_PP_ADD(n,1)), + +#define SUM(z,n,text) +BOOST_PP_MUL(BOOST_PP_ADD(n,3),BOOST_PP_ADD(n,2)) + +#define TEST(z,n,text) BOOST_CHECK_SMALL( y0(BOOST_PP_ADD(n,1)) \ + -T( 2 BOOST_PP_REPEAT(text, SUM, text) ), T(1e-10) ); + +#define TEST_CASE(z,n,text) BOOST_AUTO_TEST_CASE_TEMPLATE ( \ + BOOST_PP_CAT(odeint_foreach, n), T, fp_types ) \ +{ \ + vector_space_algebra algebra; \ + BOOST_PP_REPEAT(BOOST_PP_ADD(n,2),TABLE,tt) \ + BOOST_PP_CAT(algebra.for_each,BOOST_PP_ADD(n,2))( \ + BOOST_PP_ENUM_PARAMS(BOOST_PP_ADD(n,2),y), default_operations:: \ + BOOST_PP_CAT(scale_sum,BOOST_PP_ADD(n,1)) <T>( \ + BOOST_PP_REPEAT(n, PARAMS, text ) T(BOOST_PP_ADD(n,1)))); \ + BOOST_PP_REPEAT(2,TEST,n) \ +} + +BOOST_AUTO_TEST_SUITE( nt2_algebra ) + +BOOST_PP_REPEAT(7,TEST_CASE,dummy) + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/nt2/copy.cpp b/src/boost/libs/numeric/odeint/test_external/nt2/copy.cpp new file mode 100644 index 000000000..841728efc --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/nt2/copy.cpp @@ -0,0 +1,44 @@ +//============================================================================== +// Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +// Copyright 2014 NumScale SAS +// +// Distributed under the Boost Software License, Version 1.0. +// See accompanying file LICENSE.txt or copy at +// http://www.boost.org/LICENSE_1_0.txt +//============================================================================== +#include <boost/numeric/odeint.hpp> +#include <nt2/table.hpp> +#include <nt2/include/functions/linspace.hpp> + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_nt2_copy + +#include <boost/test/included/unit_test.hpp> +#include <boost/numeric/odeint/external/nt2/nt2_copy.hpp> + +#include <boost/mpl/list.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef boost::mpl::list< float , double > fp_types; + +BOOST_AUTO_TEST_SUITE( nt2_copy ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_copy, T, fp_types ) +{ + nt2::table<T> x = nt2::linspace(T(1),T(0),7); + + nt2::table<T> y; + + copy(y,x); + + for (std::size_t ii=1; ii<=x.size();ii++) + BOOST_CHECK_EQUAL(x(ii),y(ii)); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/nt2/is_resizeable.cpp b/src/boost/libs/numeric/odeint/test_external/nt2/is_resizeable.cpp new file mode 100644 index 000000000..10ecdbb56 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/nt2/is_resizeable.cpp @@ -0,0 +1,36 @@ +//============================================================================== +// Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +// Copyright 2014 NumScale SAS +// +// Distributed under the Boost Software License, Version 1.0. +// See accompanying file LICENSE.txt or copy at +// http://www.boost.org/LICENSE_1_0.txt +//============================================================================== +#include <boost/numeric/odeint.hpp> +#include <nt2/table.hpp> + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_nt2_resize + +#include <boost/test/included/unit_test.hpp> +#include <boost/numeric/odeint/external/nt2/nt2_resize.hpp> + +#include <boost/mpl/list.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef boost::mpl::list< float , double > fp_types; + +BOOST_AUTO_TEST_SUITE( nt2_is_resizeable ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( is_resizeable, T, fp_types ) +{ + BOOST_STATIC_ASSERT(( boost::numeric::odeint::is_resizeable< nt2::table<T> >::value )); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/nt2/norm_inf.cpp b/src/boost/libs/numeric/odeint/test_external/nt2/norm_inf.cpp new file mode 100644 index 000000000..1e1206164 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/nt2/norm_inf.cpp @@ -0,0 +1,46 @@ +//============================================================================== +// Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +// Copyright 2014 NumScale SAS +// +// Distributed under the Boost Software License, Version 1.0. +// See accompanying file LICENSE.txt or copy at +// http://www.boost.org/LICENSE_1_0.txt +//============================================================================== +#include <boost/numeric/odeint.hpp> +#include <nt2/table.hpp> +#include <nt2/include/functions/zeros.hpp> +#include <nt2/include/functions/ones.hpp> + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_nt2_copy + +#include <boost/test/included/unit_test.hpp> +#include <boost/test/floating_point_comparison.hpp> +#include <boost/numeric/odeint/external/nt2/nt2_norm_inf.hpp> + +#include <boost/mpl/list.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef boost::mpl::list< float , double > fp_types; + +BOOST_AUTO_TEST_SUITE( nt2_norm_inf ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_norm_inf, T, fp_types ) +{ + nt2::table<T> x = nt2::ones(10,1, nt2::meta::as_<T>() ); + x(4) = 55; + + nt2::table<T> y = nt2::zeros(8,8, nt2::meta::as_<T>() ); + y(6,4) = -42; + + BOOST_CHECK_SMALL(vector_space_norm_inf<nt2::table<T> >()(x) - T(55), T(1e-10)); + BOOST_CHECK_SMALL(vector_space_norm_inf<nt2::table<T> >()(y) - T(42), T(1e-10)); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/nt2/resize.cpp b/src/boost/libs/numeric/odeint/test_external/nt2/resize.cpp new file mode 100644 index 000000000..56d7ce4a6 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/nt2/resize.cpp @@ -0,0 +1,45 @@ +//============================================================================== +// Copyright 2014 LRI UMR 8623 CNRS/Univ Paris Sud XI +// Copyright 2014 NumScale SAS +// +// Distributed under the Boost Software License, Version 1.0. +// See accompanying file LICENSE.txt or copy at +// http://www.boost.org/LICENSE_1_0.txt +//============================================================================== +#include <boost/numeric/odeint.hpp> +#include <nt2/table.hpp> + +#include <boost/config.hpp> +#ifdef BOOST_MSVC + #pragma warning(disable:4996) +#endif + +#define BOOST_TEST_MODULE odeint_nt2_resize + +#include <boost/test/included/unit_test.hpp> +#include <boost/numeric/odeint/external/nt2/nt2_resize.hpp> + +#include <boost/mpl/list.hpp> + +using namespace boost::unit_test; +using namespace boost::numeric::odeint; + +typedef boost::mpl::list< float , double > fp_types; + +BOOST_AUTO_TEST_SUITE( nt2_resize ) + +BOOST_AUTO_TEST_CASE_TEMPLATE( test_resize, T, fp_types ) +{ + nt2::table<T> x; + x.resize(nt2::of_size(10,10)); + + nt2::table<T> y; + + BOOST_CHECK_EQUAL(same_size(x,y),false); + + resize(y,x); + + BOOST_CHECK_EQUAL(same_size(x,y),true); +} + +BOOST_AUTO_TEST_SUITE_END() diff --git a/src/boost/libs/numeric/odeint/test_external/thrust/Makefile b/src/boost/libs/numeric/odeint/test_external/thrust/Makefile new file mode 100644 index 000000000..49d9cd71a --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/thrust/Makefile @@ -0,0 +1,34 @@ +# Copyright 2010-2014 Mario Mulansky +# Copyright 2010-2012 Karsten Ahnert +# +# 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) + +# make sure BOOST_ROOT is pointing to your boost directory +# otherwise, set it here: +# BOOST_ROOT = /path/to/boost + +# path to the cuda installation +CUDA_ROOT = /usr/local/cuda +# target architecture +ARCH = sm_13 + +NVCC = $(CUDA_ROOT)/bin/nvcc + +INCLUDES += -I../../include/ -I$(BOOST_ROOT) + +NVCCFLAGS = -O3 $(INCLUDES) -arch $(ARCH) + +%.o : %.cu + $(NVCC) $(NVCCFLAGS) -c $< -o $@ + +% : %.o + $(NVCC) $(NVCCFLAGS) -o $@ $< + + +all : check_thrust + + +clean : + -rm *~ *.o check_thrust diff --git a/src/boost/libs/numeric/odeint/test_external/thrust/check_thrust.cu b/src/boost/libs/numeric/odeint/test_external/thrust/check_thrust.cu new file mode 100644 index 000000000..3623c3721 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/thrust/check_thrust.cu @@ -0,0 +1,72 @@ +/* Boost check_thrust.cu test file + + Copyright 2010-2013 Mario Mulansky + Copyright 2010-2011 Karsten Ahnert + + This file tests the use of the euler stepper + + 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 <boost/test/unit_test.hpp> + +#include <boost/numeric/odeint/stepper/euler.hpp> +#include <boost/numeric/odeint/external/thrust/thrust.hpp> + +#include <thrust/device_vector.h> +#include <thrust/fill.h> + +using namespace boost::numeric::odeint; + +typedef float base_type; +// typedef thrust::device_vector< base_type > state_type; +typedef thrust::host_vector< base_type > state_type; + +void constant_system( const state_type &x , state_type &dxdt , base_type t ) +{ + thrust::fill( dxdt.begin() , dxdt.end() , static_cast<base_type>(1.0) ); +} + +const base_type eps = 1.0e-7; + + +template< class Stepper , class System > +void check_stepper_concept( Stepper &stepper , System system , typename Stepper::state_type &x ) +{ + typedef Stepper stepper_type; + typedef typename stepper_type::state_type container_type; + typedef typename stepper_type::order_type order_type; + typedef typename stepper_type::time_type time_type; + + stepper.do_step( system , x , 0.0 , 0.1 ); + base_type xval = *boost::begin( x ); + if( fabs( xval - 0.1 ) < eps ) + std::clog << "TEST PASSED" << std::endl; + else + std::clog << "TEST FAILED" << std::endl; +} + +void test_euler_with_thrust( void ) +{ + state_type x(1); + thrust::fill( x.begin() , x.end() , static_cast<base_type>(0.0) ); + euler< state_type , base_type , state_type , base_type > euler; + check_stepper_concept( euler , constant_system , x ); + + +} + +/*test_suite* init_unit_test_suite( int argc, char* argv[] ) +{ + test_suite *test = BOOST_TEST_SUITE("check stepper with thrust"); + + test->add( BOOST_TEST_CASE( &test_euler_with_thrust ) ); + + return test; +}*/ + +int main() { + test_euler_with_thrust(); +} diff --git a/src/boost/libs/numeric/odeint/test_external/vexcl/Jamfile.v2 b/src/boost/libs/numeric/odeint/test_external/vexcl/Jamfile.v2 new file mode 100644 index 000000000..9b76b4305 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/vexcl/Jamfile.v2 @@ -0,0 +1,35 @@ +# Copyright 2012 Karsten Ahnert +# Copyright 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) + +# bring in rules for testing + + +import testing ; + +use-project boost : $(BOOST_ROOT) ; +VEXCL_INCLUDE = /home/karsten/boost/testing/vexcl ; +OPENCL_INCLUDE = /usr/local/cuda/include ; +#OPENCL_INCLUDE = /usr/include ; + +project + : requirements + <library>/boost/test//boost_unit_test_framework + <define>BOOST_ALL_NO_LIB=1 + <include>$(VEXCL_INCLUDE) + <include>$(OPENCL_INCLUDE) + <cxxflags>-std=c++0x + <library>/boost//system/ + ; + +lib OpenCL : : <name>OpenCL <link>shared ; + +test-suite "odeint" + : + [ run lorenz.cpp OpenCL ] + [ run norm_inf.cpp OpenCL ] + : <testing.launcher>valgrind + : + : <link>shared:<define>BOOST_TEST_DYN_LINK=1 + ;
\ No newline at end of file diff --git a/src/boost/libs/numeric/odeint/test_external/vexcl/lorenz.cpp b/src/boost/libs/numeric/odeint/test_external/vexcl/lorenz.cpp new file mode 100644 index 000000000..6bde91f68 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/vexcl/lorenz.cpp @@ -0,0 +1,147 @@ +/* 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; +} + + + diff --git a/src/boost/libs/numeric/odeint/test_external/vexcl/norm_inf.cpp b/src/boost/libs/numeric/odeint/test_external/vexcl/norm_inf.cpp new file mode 100644 index 000000000..71481d296 --- /dev/null +++ b/src/boost/libs/numeric/odeint/test_external/vexcl/norm_inf.cpp @@ -0,0 +1,25 @@ +#define BOOST_TEST_MODULE odeint_vexcl_norm_inf + +#include <boost/numeric/odeint/external/vexcl/vexcl_norm_inf.hpp> +#include <boost/test/unit_test.hpp> + +template <class T> +double norm(const T &x) { + return boost::numeric::odeint::vector_space_norm_inf<T>()(x); +} + +BOOST_AUTO_TEST_CASE( norm_inf ) +{ + vex::Context ctx(vex::Filter::Env); + std::cout << ctx << std::endl; + + vex::vector<double> x(ctx, 1024); + x = 41; + + vex::multivector<double, 2> y(ctx, 1024); + y = 42; + + BOOST_CHECK_EQUAL( norm(x), 41 ); + BOOST_CHECK_EQUAL( norm(y), 42 ); +} + diff --git a/src/boost/libs/numeric/odeint/toolset.jam.patch b/src/boost/libs/numeric/odeint/toolset.jam.patch new file mode 100644 index 000000000..dca997d5a --- /dev/null +++ b/src/boost/libs/numeric/odeint/toolset.jam.patch @@ -0,0 +1,61 @@ +diff --git a/src/build/toolset.jam b/src/build/toolset.jam +index b5defd5..a942cd9 100644 +--- a/src/build/toolset.jam ++++ b/src/build/toolset.jam +@@ -17,6 +17,8 @@ import regex ; + import sequence ; + import set ; + import property-set ; ++import order ; ++import "class" : new ; + + + .flag-no = 1 ; +@@ -237,6 +239,7 @@ rule handle-flag-value ( value * : properties * ) + if $(value:G) + { + local matches = [ property.select $(value) : $(properties) ] ; ++ local order ; + for local p in $(matches) + { + local att = [ feature.attributes $(p:G) ] ; +@@ -263,11 +266,24 @@ rule handle-flag-value ( value * : properties * ) + } + if path in $(att) + { +- result += [ sequence.transform path.native : $(values) ] ; ++ values = [ sequence.transform path.native : $(values) ] ; + } +- else ++ result += $(values) ; ++ if $(values[2]) + { +- result += $(values) ; ++ if ! $(order) ++ { ++ order = [ new order ] ; ++ } ++ local prev ; ++ for local v in $(values) ++ { ++ if $(prev) ++ { ++ $(order).add-pair $(prev) $(v) ; ++ } ++ prev = $(v) ; ++ } + } + } + else +@@ -275,6 +291,11 @@ rule handle-flag-value ( value * : properties * ) + result += $(p:G=) ; + } + } ++ if $(order) ++ { ++ result = [ $(order).order [ sequence.unique $(result) : stable ] ] ; ++ DELETE_MODULE $(order) ; ++ } + } + else + { |