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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>
// standard map: I[n+1] = I[n] + k * sin(theta[n])
// theta[n+1] = theta[n] + I[n] + k * sin(theta[n])
// 0 <= theta <= 2*pi
// taken from Willi-Hans Steeb: Chaos and Fractals
class standard:
protected map_base
{
public:
standard()
: m_k(0.8)
{
m_num_eq = 2;
m_data = new data_t[2];
set_I(0.1);
set_theta(0.2);
}
~standard()
{
delete m_data;
}
virtual void m_step()
{
data_t I = m_data[0];
data_t theta = m_data[1];
m_data[0] = I + m_k * sin(theta);
theta = theta + I + k * sin(theta);
if (y > 2 * M_PI)
{
do
{
y -= 2*M_PI;
}
while (y > 2 * M_PI);
goto put_data;
}
if (y < 0)
{
do
{
y += 2*M_PI;
}
while (y < 0);
}
put_data:
m_data[1] = theta;
}
void set_I(t_float f)
{
m_data[0] = (data_t) f;
}
t_float get_I()
{
return (t_float)m_data[0];
}
void set_theta(t_float f)
{
if ( (f >= 0) && (f < 2*M_PI))
m_data[1] = (data_t) f;
else
post("value for theta %f out of range", f);
}
t_float get_theta()
{
return (t_float)m_data[1];
}
void set_k(t_float f)
{
m_k = (data_t) f;
}
t_float get_k()
{
return (t_float)m_k;
}
private:
data_t m_k;
};
#define STANDARD_CALLBACKS \
MAP_CALLBACKS; \
FLEXT_CALLVAR_F(m_system->get_I, m_system->set_I); \
FLEXT_CALLVAR_F(m_system->get_theta, m_system->set_theta); \
FLEXT_CALLVAR_F(m_system->get_k, m_system->set_k);
#define STANDARD_ATTRIBUTES \
MAP_ATTRIBUTES; \
FLEXT_ADDATTR_VAR("I",m_system->get_I, m_system->set_I); \
FLEXT_ADDATTR_VAR("theta",m_system->get_theta, m_system->set_theta); \
FLEXT_ADDATTR_VAR("k",m_system->get_k, m_system->set_k);
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