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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>
// latoocarfian model: x1[n+1] = sin(x2[n]*b) + c*sin(x1[n]*b)
// x2[n+1] = sin(x1[n]*a) + d*sin(x2[n]*a)
// -3 < a,b < 3
// -0.5 < c,d < 1.5
// taken from Pickover: Chaos In Wonderland
class latoocarfian
: public map_base
{
public:
latoocarfian()
{
m_num_eq = 2;
m_data = new data_t[m_num_eq];
CHAOS_SYS_INIT(x1,0.5);
CHAOS_SYS_INIT(x2,0);
CHAOS_SYS_INIT(a,-0.966918);
CHAOS_SYS_INIT(b,2.879879);
CHAOS_SYS_INIT(c,0.765145);
CHAOS_SYS_INIT(d,0.744728);
}
~latoocarfian()
{
delete m_data;
}
virtual void m_step()
{
data_t x1 = m_data[0], x2 = m_data[1];
data_t a = CHAOS_PARAMETER(a), b = CHAOS_PARAMETER(b),
c = CHAOS_PARAMETER(c), d = CHAOS_PARAMETER(d);
m_data[0] = sin(x2*b) + c*sin(x1*b);
m_data[1] = sin(x1*a) + d*sin(x2*a);
}
CHAOS_SYSVAR_FUNCS(x1, 0);
CHAOS_SYSVAR_FUNCS(x2, 1);
CHAOS_SYSPAR_FUNCS_PRED(a,m_pred_1);
CHAOS_SYSPAR_FUNCS_PRED(b,m_pred_1);
CHAOS_SYSPAR_FUNCS_PRED(c,m_pred_2);
CHAOS_SYSPAR_FUNCS_PRED(d,m_pred_2);
bool m_pred_1(t_float f)
{
return (f > -3.f) && (f < 3.f);
}
bool m_pred_2(t_float f)
{
return (f > -0.5) && (f < 1.5);
}
/* function has a fix point for x1 == x2 == 0 */
virtual void m_verify()
{
for (int i = 0; i != get_num_eq(); ++i)
{
#ifndef DOUBLE_PRECISION
if (PD_BIGORSMALL(m_data[i]))
m_data[i] = 0.01;
#endif
}
};
};
#define LATOOCARFIAN_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(x1); \
CHAOS_SYS_CALLBACKS(x2); \
CHAOS_SYS_CALLBACKS(a); \
CHAOS_SYS_CALLBACKS(b); \
CHAOS_SYS_CALLBACKS(c); \
CHAOS_SYS_CALLBACKS(d);
#define LATOOCARFIAN_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(x1); \
CHAOS_SYS_ATTRIBUTE(x2); \
CHAOS_SYS_ATTRIBUTE(a); \
CHAOS_SYS_ATTRIBUTE(b); \
CHAOS_SYS_ATTRIBUTE(c); \
CHAOS_SYS_ATTRIBUTE(d);
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