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//
//
// chaos~
// Copyright (C) 2005 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.
#include "ode_base.hpp"
// hydrogen atom in a magnetic field
class hydrogen
: public ode_base<4>
{
public:
hydrogen()
{
CHAOS_PAR_INIT(method,2);
CHAOS_PAR_INIT(dt,0.01);
CHAOS_SYS_INIT(mu,0.8, 0);
CHAOS_SYS_INIT(muv,0.6, 1);
CHAOS_SYS_INIT(nu,0.4, 2);
CHAOS_SYS_INIT(nuv,0.4, 3);
CHAOS_PAR_INIT(etilde,-0.3);
reset = 0;
}
virtual void m_system(data_t* deriv, data_t* data)
{
if (reset)
{
(this->*reset)();
reset = 0;
}
data_t mu = m_data[0], muv = m_data[1], nu = m_data[2], nuv = m_data[3];
data_t E = CHAOS_PARAMETER(etilde);
deriv[0] = muv;
deriv[1] = 2* E * mu - 0.25 * mu * nu * nu * (2*mu*mu+nu*nu);
deriv[2] = nuv;
deriv[3] = 2* E * nu - 0.25 * nu * mu * mu * (2*nu*nu+mu*mu);
}
virtual void m_verify()
{
/* make sure to stay in the range of 2 pi */
for (int i = 0; i != get_num_eq(); ++ i)
{
if (m_data[i] > 1)
m_data[i] = 1;
else if (m_data[i] < -1)
m_data[i] = -1;
}
}
void reset_nuv()
{
data_t mu = m_data[0], muv = m_data[1], nu = m_data[2];
data_t E = CHAOS_PARAMETER(etilde);
m_data[1]= sqrt ( 2 * E * (mu*mu + nu*nu) - muv*muv - ( mu*mu * nu*nu *
( mu*mu + nu*nu )) * 0.25);
// if (fabs((data[3]))<1e-5)
// data[3]=0;
}
void reset_muv()
{
data_t mu = m_data[0], nu = m_data[2], nuv = m_data[3];
data_t E = CHAOS_PARAMETER(etilde);
m_data[1]= sqrt ( 2 * E * (mu*mu + nu*nu) - nuv*nuv - ( mu*mu * nu*nu *
( mu*mu + nu*nu )) * 0.25);
// if (fabs((data[1]))<1e-5)
// data[1]=0;
}
/* hook into the predicate to reset the system */
bool m_pred_pos(t_float f)
{
if (fabs(f) > 1)
return false;
reset = &hydrogen::reset_nuv;
return true;
}
bool m_pred_nuv(t_float f)
{
reset = &hydrogen::reset_muv;
return true;
}
bool m_pred_muv(t_float f)
{
reset = &hydrogen::reset_nuv;
return true;
}
void (hydrogen::*reset)(void);
CHAOS_SYSVAR_FUNCS_PRED(mu, 0, m_pred_pos);
CHAOS_SYSVAR_FUNCS_PRED(muv, 1, m_pred_nuv);
CHAOS_SYSVAR_FUNCS_PRED(nu, 2, m_pred_pos);
CHAOS_SYSVAR_FUNCS_PRED(nuv, 3, m_pred_muv);
CHAOS_SYSPAR_FUNCS(etilde);
};
#define HYDROGEN_CALLBACKS \
ODE_CALLBACKS; \
CHAOS_SYS_CALLBACKS(mu); \
CHAOS_SYS_CALLBACKS(muv); \
CHAOS_SYS_CALLBACKS(nu); \
CHAOS_SYS_CALLBACKS(nuv); \
CHAOS_SYS_CALLBACKS(etilde);
#define HYDROGEN_ATTRIBUTES \
ODE_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(mu); \
CHAOS_SYS_ATTRIBUTE(muv); \
CHAOS_SYS_ATTRIBUTE(nu); \
CHAOS_SYS_ATTRIBUTE(nuv); \
CHAOS_SYS_ATTRIBUTE(etilde);
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