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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"
// gaussian map: x[n+1] = exp(-b * x[n] * x[n]) + c
//
// taken from Robert C. Hilborn: Chaos and Nonlinear Dynamics
class gaussian_map:
public map_base<1>
{
public:
gaussian_map()
{
CHAOS_SYS_INIT(x, 0.5, 0);
CHAOS_PAR_INIT(b,7);
CHAOS_PAR_INIT(c,0.5);
}
void m_step()
{
data_t data = m_data[0];
if (data == 0)
m_data[0] = 0.001;
else
m_data[0] = exp(-CHAOS_PARAMETER(b) * data * data)
+ CHAOS_PARAMETER(c);
}
CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_x);
bool m_pred_x(t_float f)
{
return (f >= 0) && (f < 1);
}
CHAOS_SYSPAR_FUNCS(b);
CHAOS_SYSPAR_FUNCS(c);
};
#define GAUSSIAN_MAP_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(x); \
CHAOS_SYS_CALLBACKS(b); \
CHAOS_SYS_CALLBACKS(c);
#define GAUSSIAN_MAP_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(x); \
CHAOS_SYS_ATTRIBUTE(b); \
CHAOS_SYS_ATTRIBUTE(c);
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