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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"
// coupled_logistic map: x[n+1] = r * x[n] * (1 - x[n]) + e * (y[n] - x[n])
// y[n+1] = r * y[n] * (1 - y[n]) + e * (x[n] - y[n])
// 0 <= r <= 4
// taken from Willi-Hans Steeb: Chaos and Fractals
class coupled_logistic:
public map_base<2>
{
public:
coupled_logistic()
{
CHAOS_PAR_INIT(e, 0.06);
CHAOS_PAR_INIT(r, 3.7);
CHAOS_SYS_INIT(x, 0.1,0);
CHAOS_SYS_INIT(y, 0.2,1);
}
virtual inline void m_step()
{
data_t x = m_data[0];
data_t y = m_data[1];
data_t e = CHAOS_PARAMETER(e);
data_t r = CHAOS_PARAMETER(r);
m_data[0] = r * x * (1.f - x) + e * (y - x);
m_data[1] = r * y * (1.f - y) + e * (x - y);
m_verify();
}
CHAOS_SYSPAR_FUNCS(e);
CHAOS_SYSPAR_FUNCS_PRED(r, m_pred_r);
static bool m_pred_r(t_float f)
{
return (f > 0) && (f < 4);
}
CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_xy);
CHAOS_SYSVAR_FUNCS_PRED(y, 0, m_pred_xy);
static bool m_pred_xy(t_float f)
{
return (f > 0) && (f < 1);
}
inline void m_verify()
{
data_t x = m_data[0];
data_t y = m_data[1];
if (!m_pred_xy(x))
m_data[0] = rand_range(0,0.08);
if (!m_pred_xy(y))
m_data[1] = rand_range(0,0.08);
if (x == y)
{
m_data[0] += rand_range(0,0.2);
m_data[1] += -rand_range(0,0.2);
}
}
};
#define COUPLED_LOGISTIC_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(e); \
CHAOS_SYS_CALLBACKS(r); \
CHAOS_SYS_CALLBACKS(x); \
CHAOS_SYS_CALLBACKS(y);
#define COUPLED_LOGISTIC_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(e); \
CHAOS_SYS_ATTRIBUTE(r); \
CHAOS_SYS_ATTRIBUTE(x); \
CHAOS_SYS_ATTRIBUTE(y);
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