// 
//  
//  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>

//  circle_map map: x[n+1] = x[n] + omega - r / (2*pi) * sin (2 * pi * x [n])
// 
//  taken from Willi-Hans Steeb: Chaos and Fractals

class circle_map:
	public map_base<1>
{
public:
	circle_map()
	{
		CHAOS_SYS_INIT(x, 0.4,0);

		CHAOS_PAR_INIT(omega, 0.1);
		CHAOS_PAR_INIT(r, 3);
	}


	void m_step()
	{
		data_t x = m_data[0];
		data_t omega = CHAOS_PARAMETER(omega);
		data_t r = CHAOS_PARAMETER(r);
		
		m_data[0] = x + omega - r / (2.f * M_PI) * sin (2.f * M_PI * x);
	}

	CHAOS_SYSVAR_FUNCS(x,0);
	CHAOS_SYSPAR_FUNCS(r);
	CHAOS_SYSPAR_FUNCS(omega);
};

#define CIRCLE_MAP_CALLBACKS					\
MAP_CALLBACKS;									\
CHAOS_SYS_CALLBACKS(omega);						\
CHAOS_SYS_CALLBACKS(r);							\
CHAOS_SYS_CALLBACKS(x);


#define CIRCLE_MAP_ATTRIBUTES					\
MAP_ATTRIBUTES;									\
CHAOS_SYS_ATTRIBUTE(omega);						\
CHAOS_SYS_ATTRIBUTE(r);							\
CHAOS_SYS_ATTRIBUTE(x);