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我使用boost odeint来演化微分方程。 时间和值由一个包装类在一个普通数字（做高斯错误传播）给出。boost odeint：自定义类和向量空间代数的受控步进器
using Time = Number<double>;
using Value = Number<double>;
的状态和它的衍生物是由自定义类给定的与声明
class State : boost::addable<State>, boost::multipliable<State, Time>, boost::dividable<State>
{
public:
void Add(Group const& group, Value alpha);
Value Get(Group const& group) const;
State& operator*=(Time const& time);
State& operator+=(State const& state);
State& operator/=(State const& state);
State abs() const;
Value norm_inf() const;
private:
std::map<Group, Value> map_;
};
State abs(State const& state);
namespace boost
{
namespace numeric
{
namespace odeint
{
template<>
struct boost::numeric::odeint::vector_space_norm_inf<State> {
using result_type = Value;
result_type operator()(State const& state) const;
};
}
}
}
using Derivative = State;
我使用龙格 - 库塔-Dopri-5步进使用Vector空间代数
using Stepper = boost::numeric::odeint::runge_kutta_dopri5<State, Value, Derivative, Time, boost::numeric::odeint::vector_space_algebra>;
而且我用的是全认为像
auto start_state = GetStart();
auto system = GetSystem();
auto min = GetMin();
auto max = GetMax();
auto dt = GetDt;
auto observer = GetObserver();
auto stepper = boost::numeric::odeint::make_controlled<Stepper>(1e-6, 1e-6);
boost::numeric::odeint::integrate_adaptive(Stepper(), system, start_state, min, max, dt, observer);
这就像一个魅力。但是，您可能会注意到我没有使用我在第二行中定义的受控步进器，但是我使用了默认步进器。那一刻我尝试在最后一行，而不是使用默认Stepper()的stepper可变我得到follwoing编译错误：
In file included from /home/me/Integrate.cpp:2:
In file included from /usr/include/boost/numeric/odeint.hpp:35:
/usr/include/boost/numeric/odeint/stepper/controlled_runge_kutta.hpp:85:17: error: no matching constructor for initialization of 'typename operations_type::rel_error<value_type>' (aka 'rel_error<me::Number<double> >')
typename operations_type::template rel_error<value_type>(m_eps_abs , m_eps_rel , m_a_x , m_a_dxdt * abs(get_unit_value(dt))));
^ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/boost/numeric/odeint/stepper/controlled_runge_kutta.hpp:768:50: note: in instantiation of function template specialization 'odeint::default_error_checker<me::Number<double>, odeint::vector_space_algebra, odeint::default_operations>::error<me::State, me::State, me::State, me::Number<double> >' requested here
value_type max_rel_err = m_error_checker.error(m_stepper.algebra() , in , dxdt_in , m_xerr.m_v , dt);
^
/usr/include/boost/numeric/odeint/stepper/controlled_runge_kutta.hpp:716:38: note: in instantiation of function template specialization 'odeint::controlled_runge_kutta<odeint::runge_kutta_dopri5<me::State, me::Number<double>, me::State, me::Number<double>, odeint::vector_space_algebra, odeint::default_operations, odeint::initially_resizer>, odeint::default_error_checker<me::Number<double>, odeint::vector_space_algebra, odeint::default_operations>, odeint::default_step_adjuster<me::Number<double>, me::Number<double> >, odeint::initially_resizer, odeint::explicit_error_stepper_fsal_tag>::try_step<(lambda at /home/me/Integrate.cpp:28:19), me::State, me::State, me::State, me::State>' requested here
controlled_step_result res = try_step(system , x , dxdt , t , m_xnew.m_v , m_dxdtnew.m_v , dt);
^
/usr/include/boost/numeric/odeint/stepper/controlled_runge_kutta.hpp:899:16: note: in instantiation of function template specialization 'odeint::controlled_runge_kutta<odeint::runge_kutta_dopri5<me::State, me::Number<double>, me::State, me::Number<double>, odeint::vector_space_algebra, odeint::default_operations, odeint::initially_resizer>, odeint::default_error_checker<me::Number<double>, odeint::vector_space_algebra, odeint::default_operations>, odeint::default_step_adjuster<me::Number<double>, me::Number<double> >, odeint::initially_resizer, odeint::explicit_error_stepper_fsal_tag>::try_step<(lambda at /home/me/Integrate.cpp:28:19), me::State, me::State>' requested here
return try_step(system , x , m_dxdt.m_v , t , dt);
^
/usr/include/boost/numeric/odeint/stepper/controlled_runge_kutta.hpp:617:16: note: in instantiation of function template specialization 'odeint::controlled_runge_kutta<odeint::runge_kutta_dopri5<me::State, me::Number<double>, me::State, me::Number<double>, odeint::vector_space_algebra, odeint::default_operations, odeint::initially_resizer>, odeint::default_error_checker<me::Number<double>, odeint::vector_space_algebra, odeint::default_operations>, odeint::default_step_adjuster<me::Number<double>, me::Number<double> >, odeint::initially_resizer, odeint::explicit_error_stepper_fsal_tag>::try_step_v1<(lambda at /home/me/Integrate.cpp:28:19), me::State>' requested here
return try_step_v1(system , x , t , dt);
^
/usr/include/boost/numeric/odeint/integrate/detail/integrate_adaptive.hpp:103:22: note: in instantiation of function template specialization 'odeint::controlled_runge_kutta<odeint::runge_kutta_dopri5<me::State, me::Number<double>, me::State, me::Number<double>, odeint::vector_space_algebra, odeint::default_operations, odeint::initially_resizer>, odeint::default_error_checker<me::Number<double>, odeint::vector_space_algebra, odeint::default_operations>, odeint::default_step_adjuster<me::Number<double>, me::Number<double> >, odeint::initially_resizer, odeint::explicit_error_stepper_fsal_tag>::try_step<(lambda at /home/me/Integrate.cpp:28:19), me::State>' requested here
res = st.try_step(system , start_state , start_time , dt);
^
/usr/include/boost/numeric/odeint/integrate/integrate_adaptive.hpp:42:20: note: in instantiation of function template specialization 'odeint::detail::integrate_adaptive<odeint::controlled_runge_kutta<odeint::runge_kutta_dopri5<me::State, me::Number<double>, me::State, me::Number<double>, odeint::vector_space_algebra, odeint::default_operations, odeint::initially_resizer>, odeint::default_error_checker<me::Number<double>, odeint::vector_space_algebra, odeint::default_operations>, odeint::default_step_adjuster<me::Number<double>, me::Number<double> >, odeint::initially_resizer, odeint::explicit_error_stepper_fsal_tag>, (lambda at /home/me/Integrate.cpp:28:19), me::State, me::Number<double>, (lambda at /home/me/Integrate.cpp:48:21)>' requested here
return detail::integrate_adaptive(
^
/usr/include/boost/numeric/odeint/algebra/default_operations.hpp:435:9: note: candidate constructor not viable: no known conversion from 'me::State' to 'me::Number<double>' for 4th argument
rel_error(Fac1 eps_abs , Fac1 eps_rel , Fac1 a_x , Fac1 a_dxdt)
^
/usr/include/boost/numeric/odeint/algebra/default_operations.hpp:431:12: note: candidate constructor (the implicit move constructor) not viable: requires 1 argument, but 4 were provided
struct rel_error
^
/usr/include/boost/numeric/odeint/algebra/default_operations.hpp:431:12: note: candidate constructor (the implicit copy constructor) not viable: requires 1 argument, but 4 were provided
我可以看到odeint::rel_error<me::Number<double>>应该是Number型，但产品m_a_dxdt * abs(get_unit_value(dt))，用作rel_error构造函数的第四个参数的是State类型。 我假设我在执行State类的向量空间代数时犯了一个错误，但是我找不到我犯了错误的地方。
如果我用普通的double替换时间和值类型，那么错误检查器将再次工作。