整理

include/boost/numeric/odeint/stepper/runge_kutta4.hpp

@@ -0,0 +1,181 @@
+/*
+ [auto_generated]
+ boost/numeric/odeint/stepper/runge_kutta4.hpp
+
+ [begin_description]
+ Implementation of the classical Runge-Kutta stepper with the generic stepper.
+ [end_description]
+
+ Copyright 2011-2013 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)
+ */
+
+
+#ifndef BOOST_NUMERIC_ODEINT_STEPPER_RUNGE_KUTTA4_HPP_INCLUDED
+#define BOOST_NUMERIC_ODEINT_STEPPER_RUNGE_KUTTA4_HPP_INCLUDED
+
+
+
+
+#include <boost/fusion/container/vector.hpp>
+#include <boost/fusion/container/generation/make_vector.hpp>
+
+#include <boost/numeric/odeint/stepper/explicit_generic_rk.hpp>
+#include <boost/numeric/odeint/algebra/range_algebra.hpp>
+#include <boost/numeric/odeint/algebra/default_operations.hpp>
+#include <boost/numeric/odeint/algebra/algebra_dispatcher.hpp>
+#include <boost/numeric/odeint/algebra/operations_dispatcher.hpp>
+
+#include <array>
+
+#include <boost/numeric/odeint/util/resizer.hpp>
+
+
+
+namespace boost {
+namespace numeric {
+namespace odeint {
+
+#ifndef DOXYGEN_SKIP
+template< class Value = double >
+struct rk4_coefficients_a1 : std::array< Value , 1 >
+{
+    rk4_coefficients_a1( void )
+    {
+        (*this)[0] = static_cast< Value >( 1 ) / static_cast< Value >( 2 );
+    }
+};
+
+template< class Value = double >
+struct rk4_coefficients_a2 : std::array< Value , 2 >
+{
+    rk4_coefficients_a2( void )
+    {
+        (*this)[0] = static_cast<Value>(0);
+        (*this)[1] = static_cast< Value >( 1 ) / static_cast< Value >( 2 );
+    }
+};
+
+
+template< class Value = double >
+struct rk4_coefficients_a3 : std::array< Value , 3 >
+{
+    rk4_coefficients_a3( void )
+            {
+        (*this)[0] = static_cast<Value>(0);
+        (*this)[1] = static_cast<Value>(0);
+        (*this)[2] = static_cast<Value>(1);
+            }
+};
+
+template< class Value = double >
+struct rk4_coefficients_b : std::array< Value , 4 >
+{
+    rk4_coefficients_b( void )
+    {
+        (*this)[0] = static_cast<Value>(1)/static_cast<Value>(6);
+        (*this)[1] = static_cast<Value>(1)/static_cast<Value>(3);
+        (*this)[2] = static_cast<Value>(1)/static_cast<Value>(3);
+        (*this)[3] = static_cast<Value>(1)/static_cast<Value>(6);
+    }
+};
+
+template< class Value = double >
+struct rk4_coefficients_c : std::array< Value , 4 >
+{
+    rk4_coefficients_c( void )
+    {
+        (*this)[0] = static_cast<Value>(0);
+        (*this)[1] = static_cast< Value >( 1 ) / static_cast< Value >( 2 );
+        (*this)[2] = static_cast< Value >( 1 ) / static_cast< Value >( 2 );
+        (*this)[3] = static_cast<Value>(1);
+    }
+};
+#endif
+
+
+
+template<
+class State ,
+class Value = double ,
+class Deriv = State ,
+class Time = Value ,
+class Algebra = typename algebra_dispatcher< State >::algebra_type ,
+class Operations = typename operations_dispatcher< State >::operations_type ,
+class Resizer = initially_resizer
+>
+#ifndef DOXYGEN_SKIP
+class runge_kutta4 : public explicit_generic_rk< 4 , 4 , State , Value , Deriv , Time ,
+Algebra , Operations , Resizer >
+#else
+class runge_kutta4 : public explicit_generic_rk
+#endif
+{
+
+public:
+
+#ifndef DOXYGEN_SKIP
+    typedef explicit_generic_rk< 4 , 4 , State , Value , Deriv , Time ,
+            Algebra , Operations , Resizer > stepper_base_type;
+#endif
+    typedef typename stepper_base_type::state_type 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::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;
+
+    #ifndef DOXYGEN_SKIP
+    typedef typename stepper_base_type::wrapped_state_type wrapped_state_type;
+    typedef typename stepper_base_type::wrapped_deriv_type wrapped_deriv_type;
+    typedef typename stepper_base_type::stepper_type stepper_type;
+    #endif
+
+    runge_kutta4( const algebra_type &algebra = algebra_type() ) : stepper_base_type(
+            boost::fusion::make_vector( rk4_coefficients_a1<Value>() , rk4_coefficients_a2<Value>() , rk4_coefficients_a3<Value>() ) ,
+            rk4_coefficients_b<Value>() , rk4_coefficients_c<Value>() , algebra )
+    { }
+
+};
+
+/**
+ * \class runge_kutta4
+ * \brief The classical Runge-Kutta stepper of fourth order.
+ *
+ * The Runge-Kutta method of fourth order is one standard method for
+ * solving ordinary differential equations and is widely used, see also
+ * <a href="http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods">en.wikipedia.org/wiki/Runge-Kutta_methods</a>
+ * The method is  explicit and fulfills the Stepper concept. Step size control
+ * or continuous output are not provided.
+ * 
+ * This class derives from explicit_stepper_base and inherits its interface via CRTP (current recurring template pattern).
+ * Furthermore, it derivs from explicit_generic_rk which is a generic Runge-Kutta algorithm. For more details see
+ * explicit_stepper_base and explicit_generic_rk.
+ *
+ * \tparam State The state type.
+ * \tparam Value The value type.
+ * \tparam Deriv The type representing the time derivative of the state.
+ * \tparam Time The time representing the independent variable - the time.
+ * \tparam Algebra The algebra type.
+ * \tparam Operations The operations type.
+ * \tparam Resizer The resizer policy type.
+ */
+
+/**
+ * \fn runge_kutta4::runge_kutta4( const algebra_type &algebra = algebra_type() )
+ * \brief Constructs the runge_kutta4 class. This constructor can be used as a default
+ * constructor if the algebra has a default constructor.
+ * \param algebra A copy of algebra is made and stored inside explicit_stepper_base.
+ */
+
+}
+}
+}
+
+
+#endif // BOOST_NUMERIC_ODEINT_STEPPER_RUNGE_KUTTA4_HPP_INCLUDED