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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"
// logistic map: x[n+1] = alpha * x[n] * (1 - x[n])
// 0 < x[n] < 1
// 0 <= alpha <= 4
class logistic:
public map_base<1>
{
public:
logistic()
{
CHAOS_PAR_INIT(alpha, 3.8);
CHAOS_SYS_INIT(x, 0.5,0);
}
~logistic()
{
}
void m_step()
{
data_t x = m_data[0];
data_t alpha = CHAOS_PARAMETER(alpha);
m_data[0] = alpha * x * (1.f - x);
}
CHAOS_SYSPAR_FUNCS_PRED(alpha, m_pred_alpha);
bool m_pred_alpha(data_t f)
{
return (f > 0) && (f < 4);
}
CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_x);
bool m_pred_x(data_t f)
{
return (f > 0) && (f < 1);
}
virtual void m_verify()
{
data_t x = m_data[0];
if (m_pred_x(x))
return;
m_data[0] = 0.5;
}
};
#define LOGISTIC_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(alpha); \
CHAOS_SYS_CALLBACKS(x);
#define LOGISTIC_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(alpha); \
CHAOS_SYS_ATTRIBUTE(x);
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