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//
//
// chaos~
// Copyright (C) 2004 Tim Blechmann
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; see the file COPYING. If not, write to
// the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
// Boston, MA 02111-1307, USA.
#ifndef __ode_base_hpp
#include "chaos_base.hpp"
template <int dimensions>
class ode_base:
public chaos_base<dimensions>
{
public:
void set_method(int i)
{
if (i >= 0 && i < 4)
{
m_method = (unsigned char) i;
switch (i)
{
case 0:
m_routine = &ode_base<dimensions>::rk1;
break;
case 1:
m_routine = &ode_base<dimensions>::rk2;
break;
case 2:
m_routine = &ode_base<dimensions>::rk4;
}
}
else
post("no such method");
}
t_int get_method()
{
return (int) m_method;
}
CHAOS_SYSPAR_FUNCS_PRED(dt, m_pred_dt);
bool m_pred_dt(t_float f)
{
return (f >= 0);
}
void m_step()
{
(this->*m_routine)();
}
protected:
void (ode_base<dimensions>::*m_routine)(void);
unsigned char m_method; /* 0: rk1, 1: rk2, 3: rk4 */
data_t m_k0[dimensions];
data_t m_k1[dimensions];
data_t m_k2[dimensions];
data_t m_k3[dimensions];
data_t m_tmp[dimensions];
virtual void m_system (data_t* deriv, data_t* data) = 0;
void rk1()
{
m_system (m_k0, chaos_base<dimensions>::m_data);
for (int i = 0; i != dimensions; ++i)
chaos_base<dimensions>::m_data[i] += m_dt * m_k0[i];
}
void rk2()
{
for (int i = 0; i != dimensions; ++i)
m_k0[i] = m_k0[i] * 0.5 * m_dt + chaos_base<dimensions>::m_data[i];
m_system (m_k0, chaos_base<dimensions>::m_data);
m_system (m_k1, m_k0);
for (int i = 0; i != dimensions; ++i)
chaos_base<dimensions>::m_data[i] += m_dt * m_k1[i];
}
void rk4()
{
m_system (m_k0, chaos_base<dimensions>::m_data);
for (int i = 0; i != dimensions; ++i)
{
m_k0[i] *= m_dt;
m_tmp[i] = chaos_base<dimensions>::m_data[i] + 0.5 * m_k0[i];
}
m_system (m_k1, m_tmp);
for (int i = 0; i != dimensions; ++i)
{
m_k1[i] *= m_dt;
m_tmp[i] = chaos_base<dimensions>::m_data[i] + 0.5 * m_k1[i];
}
m_system (m_k2, m_tmp);
for (int i = 0; i != dimensions; ++i)
{
m_k2[i] *= m_dt;
m_tmp[i] = chaos_base<dimensions>::m_data[i] + m_k2[i];
}
m_system (m_k3, m_tmp);
for (int i = 0; i != dimensions; ++i)
m_k3[i] *= m_dt;
for (int i = 0; i != dimensions; ++i)
chaos_base<dimensions>::m_data[i] += (m_k0[i] + 2. * (m_k1[i] + m_k2[i]) + m_k3[i])
/ 6.;
}
};
#define ODE_CALLBACKS \
CHAOS_SYS_CALLBACKS_I(method); \
CHAOS_SYS_CALLBACKS(dt);
#define ODE_ATTRIBUTES \
CHAOS_SYS_ATTRIBUTE(method); \
CHAOS_SYS_ATTRIBUTE(dt);
#define __ode_base_hpp
#endif /* __ode_base_hpp */
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