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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"
+
+
+// gaussian map: x[n+1] = exp(-b * x[n] * x[n]) + c
+//
+// taken from Robert C. Hilborn: Chaos and Nonlinear Dynamics
+
+class gaussian_map:
+ public map_base<1>
+{
+public:
+ gaussian_map()
+ {
+ CHAOS_SYS_INIT(x, 0.5, 0);
+
+ CHAOS_PAR_INIT(b,7);
+ CHAOS_PAR_INIT(c,0.5);
+ }
+
+
+
+ void m_step()
+ {
+ data_t data = m_data[0];
+
+ if (data == 0)
+ m_data[0] = 0.001;
+ else
+ m_data[0] = exp(-CHAOS_PARAMETER(b) * data * data)
+ + CHAOS_PARAMETER(c);
+ }
+
+ CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_x);
+ bool m_pred_x(t_float f)
+ {
+ return (f >= 0) && (f < 1);
+ }
+
+ CHAOS_SYSPAR_FUNCS(b);
+ CHAOS_SYSPAR_FUNCS(c);
+
+};
+
+#define GAUSSIAN_MAP_CALLBACKS \
+MAP_CALLBACKS; \
+CHAOS_SYS_CALLBACKS(x); \
+CHAOS_SYS_CALLBACKS(b); \
+CHAOS_SYS_CALLBACKS(c);
+
+#define GAUSSIAN_MAP_ATTRIBUTES \
+MAP_ATTRIBUTES; \
+CHAOS_SYS_ATTRIBUTE(x); \
+CHAOS_SYS_ATTRIBUTE(b); \
+CHAOS_SYS_ATTRIBUTE(c);
+
+
+