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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 beta:
+// x1[n+1] = sin(x2[n]*b) + pow(sin(x1[n]*b),2)
+// x2[n+1] = sin(x1[n]*a) + pow(sin(x2[n]*a),2)
+// taken from Pickover: Chaos In Wonderland
+
+class latoomutbeta
+ : public map_base<2>
+{
+public:
+ latoomutbeta()
+ {
+ CHAOS_SYS_INIT(x1,0.5,0);
+ CHAOS_SYS_INIT(x2,0.5,1);
+
+ CHAOS_PAR_INIT(a,-0.966918);
+ CHAOS_PAR_INIT(b,2.879879);
+ }
+
+ void m_step()
+ {
+ data_t x1 = m_data[0], x2 = m_data[1];
+ data_t a = CHAOS_PARAMETER(a), b = CHAOS_PARAMETER(b);
+ data_t tmp;
+
+ tmp = sin(x1*b);
+ m_data[0] = sin(x2*b) + tmp*tmp;
+ tmp = sin(x2*a);
+ m_data[1] = sin(x1*a) + tmp*tmp;
+ }
+
+ /* 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);
+};
+
+
+#define LATOOMUTBETA_CALLBACKS \
+MAP_CALLBACKS; \
+CHAOS_SYS_CALLBACKS(x1); \
+CHAOS_SYS_CALLBACKS(x2); \
+CHAOS_SYS_CALLBACKS(a); \
+CHAOS_SYS_CALLBACKS(b);
+
+
+#define LATOOMUTBETA_ATTRIBUTES \
+MAP_ATTRIBUTES; \
+CHAOS_SYS_ATTRIBUTE(x1); \
+CHAOS_SYS_ATTRIBUTE(x2); \
+CHAOS_SYS_ATTRIBUTE(a); \
+CHAOS_SYS_ATTRIBUTE(b);
+