我試圖利用ODE integration capabilities of Boost使用Matrix class from Eigen 3作爲我的狀態向量,但我遇到了深入到Boost的問題,我不明白如何地址。使用Boost :: odeint與特徵::矩陣作爲狀態向量
的什麼,我試圖做一個小例子:
#include <Eigen/Core>
#include <boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp>
#include <iostream>
using namespace Eigen;
using namespace boost::numeric::odeint;
template<size_t N>
using vector = Matrix<double, N, 1>;
typedef vector<3> state;
int main() {
state X0;
X0 << 1., 2., 3.;
state xout = X0;
runge_kutta_dopri5<state> stepper;
// If I remove these lines, everything compiles fine
stepper.do_step([](const state x, state dxdt, const double t) -> void {
dxdt = x;
}, X0, 0.0, xout, 0.01);
std::cout << xout << std::endl;
}
如果我COMENT了呼叫stepper.do_step
一切編譯和運行得很好,但當然沒有做什麼有趣的事。如果我不這樣做,升壓vomits compile errors over my terminal,其中第一個是
In file included from /usr/include/boost/mpl/aux_/begin_end_impl.hpp:20:0,
from /usr/include/boost/mpl/begin_end.hpp:18,
from /usr/include/boost/mpl/is_sequence.hpp:19,
from /usr/include/boost/fusion/support/detail/is_mpl_sequence.hpp:12,
from /usr/include/boost/fusion/support/tag_of.hpp:13,
from /usr/include/boost/fusion/support/is_sequence.hpp:11,
from /usr/include/boost/fusion/sequence/intrinsic_fwd.hpp:12,
from /usr/include/boost/fusion/sequence/intrinsic/front.hpp:10,
from /usr/include/boost/fusion/include/front.hpp:10,
from /usr/include/boost/numeric/odeint/util/is_resizeable.hpp:26,
from /usr/include/boost/numeric/odeint/util/state_wrapper.hpp:25,
from /usr/include/boost/numeric/odeint/stepper/base/explicit_error_stepper_fsal_base.hpp:27,
from /usr/include/boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp:24,
from /home/tlycken/exjobb/Code/alpha-orbit-follower/test/algebra/algebra-tests.cpp:2:
/usr/include/boost/mpl/eval_if.hpp: In instantiation of ‘struct boost::mpl::eval_if_c<true, boost::range_const_iterator<Eigen::Matrix<double, 3, 1> >, boost::range_mutable_iterator<const Eigen::Matrix<double, 3, 1> > >’:
/usr/include/boost/range/iterator.hpp:63:63: required from ‘struct boost::range_iterator<const Eigen::Matrix<double, 3, 1> >’
/usr/include/boost/range/begin.hpp:112:61: required by substitution of ‘template<class T> typename boost::range_iterator<const T>::type boost::range_adl_barrier::begin(const T&) [with T = Eigen::Matrix<double, 3, 1>]’
/usr/include/boost/numeric/odeint/algebra/range_algebra.hpp:52:45: required from ‘static void boost::numeric::odeint::range_algebra::for_each3(S1&, S2&, S3&, Op) [with S1 = Eigen::Matrix<double, 3, 1>; S2 = const Eigen::Matrix<double, 3, 1>; S3 = const Eigen::Matrix<double, 3, 1>; Op = boost::numeric::odeint::default_operations::scale_sum2<double, double>]’
/usr/include/boost/numeric/odeint/stepper/runge_kutta_dopri5.hpp:128:9: required from ‘void boost::numeric::odeint::runge_kutta_dopri5<State, Value, Deriv, Time, Algebra, Operations, Resizer>::do_step_impl(System, const StateIn&, const DerivIn&, boost::numeric::odeint::runge_kutta_dopri5<State, Value, Deriv, Time, Algebra, Operations, Resizer>::time_type, StateOut&, DerivOut&, boost::numeric::odeint::runge_kutta_dopri5<State, Value, Deriv, Time, Algebra, Operations, Resizer>::time_type) [with System = main()::__lambda0; StateIn = Eigen::Matrix<double, 3, 1>; DerivIn = Eigen::Matrix<double, 3, 1>; StateOut = Eigen::Matrix<double, 3, 1>; DerivOut = Eigen::Matrix<double, 3, 1>; State = Eigen::Matrix<double, 3, 1>; Value = double; Deriv = Eigen::Matrix<double, 3, 1>; Time = double; Algebra = boost::numeric::odeint::range_algebra; Operations = boost::numeric::odeint::default_operations; Resizer = boost::numeric::odeint::initially_resizer; boost::numeric::odeint::runge_kutta_dopri5<State, Value, Deriv, Time, Algebra, Operations, Resizer>::time_type = double]’
/usr/include/boost/numeric/odeint/stepper/base/explicit_error_stepper_fsal_base.hpp:167:9: required from ‘typename boost::disable_if<boost::is_same<StateInOut, Time>, void>::type boost::numeric::odeint::explicit_error_stepper_fsal_base<Stepper, Order, StepperOrder, ErrorOrder, State, Value, Deriv, Time, Algebra, Operations, Resizer>::do_step(System, const StateIn&, boost::numeric::odeint::explicit_error_stepper_fsal_base<Stepper, Order, StepperOrder, ErrorOrder, State, Value, Deriv, Time, Algebra, Operations, Resizer>::time_type, StateOut&, boost::numeric::odeint::explicit_error_stepper_fsal_base<Stepper, Order, StepperOrder, ErrorOrder, State, Value, Deriv, Time, Algebra, Operations, Resizer>::time_type) [with System = main()::__lambda0; StateIn = Eigen::Matrix<double, 3, 1>; StateOut = Eigen::Matrix<double, 3, 1>; Stepper = boost::numeric::odeint::runge_kutta_dopri5<Eigen::Matrix<double, 3, 1> >; short unsigned int Order = 5u; short unsigned int StepperOrder = 5u; short unsigned int ErrorOrder = 4u; State = Eigen::Matrix<double, 3, 1>; Value = double; Deriv = Eigen::Matrix<double, 3, 1>; Time = double; Algebra = boost::numeric::odeint::range_algebra; Operations = boost::numeric::odeint::default_operations; Resizer = boost::numeric::odeint::initially_resizer; typename boost::disable_if<boost::is_same<StateInOut, Time>, void>::type = void; boost::numeric::odeint::explicit_error_stepper_fsal_base<Stepper, Order, StepperOrder, ErrorOrder, State, Value, Deriv, Time, Algebra, Operations, Resizer>::time_type = double]’
/home/tlycken/exjobb/Code/alpha-orbit-follower/test/algebra/algebra-tests.cpp:21:137: required from here
/usr/include/boost/mpl/eval_if.hpp:60:31: error: no type named ‘type’ in ‘boost::mpl::eval_if_c<true, boost::range_const_iterator<Eigen::Matrix<double, 3, 1> >, boost::range_mutable_iterator<const Eigen::Matrix<double, 3, 1> > >::f_ {aka struct boost::range_const_iterator<Eigen::Matrix<double, 3, 1> >}’
typedef typename f_::type type;
我試圖鑽進去the Boost header where the error occurs,但我沒有足夠的理解發生了什麼事情,能夠解決我的代碼。由於odeint庫文檔clearly states
odeint的主要重點是提供的方式,其中所述算法是完全獨立於用於表示狀態x中的數據結構來實現的數值方法。
即使odeint本身不支持Eigen,我相信這應該不會太難。
而有人問前:我在喜歡本徵的矩陣類由於其線性代數能力,Boost或std中的內置函數。我需要將狀態向量視爲狀態空間中的實際向量,其中支持向量減法,規範和點積等操作。我希望使用'Eigen :: Matrix'會比我自己的std :: array'包裝更簡單... –
您可以嘗試將步進器的定義替換爲runge_kutta_dopri5步進器;我想你還需要包含向量空間代數:#include 。 –
headmyshoulder
@headmyshoulder:謝謝!我剛剛從[這個例子](http://www.boost.org/doc/libs/1_55_0/libs/numeric/odeint/examples/lorenz_point.cpp)中發現了這一點,並且在我回到這裏時試着嘗試看到你的評論。如果我做出這樣的改變,我的代碼確實可以編譯,儘管它打印的是最初的起點而不是下一個。我認爲這可能是其他地方的錯誤(在屏幕和鍵盤之間),但是......在更多的故障排除後會回來! –