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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.
#include "map_base.hpp"
#include <cmath>
// ikeda laser map: z[n+1] = roh + c2 * z[n] *
// exp (j * (c1 - c3 / (1 + abs(z) * abs(z))))
// z is complex
//
// equal: x[n+1] = roh + c2 * (x[n] * cos(tau) - y[n] * sin (tau))
// y[n+1] = c2 * (x[n] * sin(tau) + y[n] * cos(tau))
// tau = c1 - (c2 / (1 + x*x + y*y))
//
// taken from Willi-Hans Steeb: Chaos and Fractals
class ikeda:
protected map_base
{
public:
ikeda()
: m_c1(0.4), m_c2(0.9), m_c3(9), m_roh(0.85)
{
m_num_eq = 2;
m_data = new data_t[2];
set_x(0.5);
set_y(0.5);
}
~ikeda()
{
delete m_data;
}
virtual void m_step()
{
data_t x = m_data[0];
data_t y = m_data[1];
data_t tau = m_c1 - m_c3 / (1 + x*x + y*y);
data_t cos_tau = cos(tau);
data_t sin_tau = sin(tau);
m_data[0] = m_roh + m_c2 * (x * cos_tau - y * sin_tau);
m_data[1] = m_c2 * (x * sin_tau + y * cos_tau);
}
void set_x(t_float f)
{
m_data[0] = (data_t) f;
}
t_float get_x()
{
return (t_float)m_data[0];
}
void set_y(t_float f)
{
m_data[1] = (data_t) f;
}
t_float get_y()
{
return (t_float)m_data[1];
}
void set_c1(t_float f)
{
m_c1 = (data_t) f;
}
t_float get_c1()
{
return (t_float)m_c1;
}
void set_c2(t_float f)
{
m_c2[1] = (data_t) f;
}
t_float get_c2()
{
return (t_float)m_c2;
}
void set_c3(t_float f)
{
m_c3 = (data_t) f;
}
t_float get_c3()
{
return (t_float)m_c3;
}
void set_roh(t_float f)
{
m_roh = (data_t) f;
}
t_float get_roh()
{
return (t_float)m_roh;
}
private:
data_t m_c1, m_c2, m_c3, m_roh;
};
#define IKEDA_CALLBACKS \
MAP_CALLBACKS; \
FLEXT_CALLVAR_F(m_system->get_c1, m_system->set_c1); \
FLEXT_CALLVAR_F(m_system->get_c2, m_system->set_c2); \
FLEXT_CALLVAR_F(m_system->get_c3, m_system->set_c3); \
FLEXT_CALLVAR_F(m_system->get_roh, m_system->set_roh); \
FLEXT_CALLVAR_F(m_system->get_x, m_system->set_x); \
FLEXT_CALLVAR_F(m_system->get_y, m_system->set_y); \
#define IKEDA_ATTRIBUTES \
MAP_ATTRIBUTES; \
FLEXT_ADDATTR_VAR("c1",m_system->get_c1, m_system->set_c1); \
FLEXT_ADDATTR_VAR("c2",m_system->get_c2, m_system->set_c2); \
FLEXT_ADDATTR_VAR("c3",m_system->get_c3, m_system->set_c3); \
FLEXT_ADDATTR_VAR("roh",m_system->get_roh, m_system->set_roh); \
FLEXT_ADDATTR_VAR("x",m_system->get_x, m_system->set_x); \
FLEXT_ADDATTR_VAR("y",m_system->get_y, m_system->set_y);
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