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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, mutation alpha:
// x1[n+1] = sin(x2[n]*b) + pow(sin(x1[n]*b),2) + pow(sin(x1[n]*b),3)
// x2[n+1] = sin(x1[n]*a) + pow(sin(x2[n]*a),2) + pow(sin(x2[n]*c),3)
// taken from Pickover: Chaos In Wonderland
class latoomutalpha
: public map_base<2>
{
public:
latoomutalpha()
{
CHAOS_SYS_INIT(x1,0.5,0);
CHAOS_SYS_INIT(x2,0.2,1);
CHAOS_PAR_INIT(a,-0.966918);
CHAOS_PAR_INIT(b,2.879879);
CHAOS_PAR_INIT(c,0.765145);
}
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);
data_t tmp1, tmp2;
tmp1 = sin(x1*b);
m_data[0] = sin(x2*b) + tmp1*tmp1 + tmp1*tmp1*tmp1;
tmp1 = sin(x2*a);
tmp2 = sin(x2*c);
m_data[1] = sin(x1*a) + tmp1*tmp1 + tmp2*tmp2*tmp2;
}
/* function has a fix point for x1 == x2 == 0 */
virtual void m_verify()
{
if (m_data[0] == 0 && m_data[1] == 0)
for (int i = 0; i != 2; ++i)
m_data[i] = rand_range(0,0.1);
}
CHAOS_SYSVAR_FUNCS(x1, 0);
CHAOS_SYSVAR_FUNCS(x2, 1);
CHAOS_SYSPAR_FUNCS(a);
CHAOS_SYSPAR_FUNCS(b);
CHAOS_SYSPAR_FUNCS(c);
};
#define LATOOMUTALPHA_CALLBACKS \
MAP_CALLBACKS; \
CHAOS_SYS_CALLBACKS(x1); \
CHAOS_SYS_CALLBACKS(x2); \
CHAOS_SYS_CALLBACKS(a); \
CHAOS_SYS_CALLBACKS(b); \
CHAOS_SYS_CALLBACKS(c);
#define LATOOMUTALPHA_ATTRIBUTES \
MAP_ATTRIBUTES; \
CHAOS_SYS_ATTRIBUTE(x1); \
CHAOS_SYS_ATTRIBUTE(x2); \
CHAOS_SYS_ATTRIBUTE(a); \
CHAOS_SYS_ATTRIBUTE(b); \
CHAOS_SYS_ATTRIBUTE(c);
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