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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_map:
public map_base<2>
{
public:
standard_map()
{
CHAOS_SYS_INIT(I,0.1,0);
CHAOS_SYS_INIT(theta,0.2,1);
CHAOS_PAR_INIT(k, 0.8);
}
~standard_map()
{
}
void m_step()
{
data_t I = m_data[0];
data_t theta = m_data[1];
data_t k = CHAOS_PARAMETER(k);
m_data[0] = I + k * sin(theta);
theta = theta + I + k * sin(theta);
if (theta > 2 * M_PI)
{
do
{
theta -= 2*M_PI;
}
while (theta > 2 * M_PI);
goto put_data;
}
if (theta < 0)
{
do
{
theta += 2*M_PI;
}
while (theta < 0);
}
put_data:
m_data[1] = theta;
}
CHAOS_SYSVAR_FUNCS(I, 0);
CHAOS_SYSVAR_FUNCS_PRED(theta, 1, m_pred_theta);
bool m_pred_theta(t_float f)
{
return (f >= 0) && (f < 2*M_PI);
}
CHAOS_SYSPAR_FUNCS(k);
};
#define STANDARD_MAP_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(I); \
CHAOS_SYS_CALLBACKS(theta); \
CHAOS_SYS_CALLBACKS(k);
#define STANDARD_MAP_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(I); \
CHAOS_SYS_ATTRIBUTE(theta); \
CHAOS_SYS_ATTRIBUTE(k);
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