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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>

//  gauss map: x[n+1] = 0              (for x[n] = 0)
//                      fmod(1 / x[n], 1) (else)
//             0 <= x[n] <  1
//  taken from Willi-Hans Steeb: Chaos and Fractals

class gauss_map:
	public map_base<1>
{
public:
	gauss_map()
	{
		CHAOS_SYS_INIT(x,0.5, 0);
	}


	void m_step()
	{
		data_t data = m_data[0];

		if (data == 0)
			m_data[0] = 0.001;
		else
			m_data[0] = fmod(1.f / data, 1);
	}

	CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_x);
	bool m_pred_x(t_float f)
	{
		return (f >= 0) && (f < 1);
	}
};

#define GAUSS_MAP_CALLBACKS						\
MAP_CALLBACKS;									\
CHAOS_SYS_CALLBACKS(x);

#define GAUSS_MAP_ATTRIBUTES					\
MAP_ATTRIBUTES;									\
CHAOS_SYS_ATTRIBUTE(x);