// 
//  
//  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);