aboutsummaryrefslogtreecommitdiff
path: root/chaos/src/henon_map.hpp
diff options
context:
space:
mode:
Diffstat (limited to 'chaos/src/henon_map.hpp')
-rw-r--r--chaos/src/henon_map.hpp77
1 files changed, 77 insertions, 0 deletions
diff --git a/chaos/src/henon_map.hpp b/chaos/src/henon_map.hpp
new file mode 100644
index 0000000..b7ca5bf
--- /dev/null
+++ b/chaos/src/henon_map.hpp
@@ -0,0 +1,77 @@
+//
+//
+// 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"
+
+// henon map: x[n+1] = y[n] + 1 - a * x[n] * x[n]
+// y[n+1] = b * x[n]
+// b != 0
+// taken from Willi-Hans Steeb: Chaos and Fractals
+
+class henon:
+ public map_base<2>
+{
+public:
+ henon()
+ {
+ CHAOS_SYS_INIT(x,0,0);
+ CHAOS_SYS_INIT(y,0,1);
+
+ CHAOS_PAR_INIT(a,1.4);
+ CHAOS_PAR_INIT(b,0.3);
+ }
+
+
+ void m_step()
+ {
+ data_t x = m_data[0];
+ data_t y = m_data[1];
+
+ m_data[0] = 1 + y - CHAOS_PARAMETER(a) * x * x;
+ m_data[1] = CHAOS_PARAMETER(b) * x;
+ }
+
+ CHAOS_SYSVAR_FUNCS(x, 0);
+ CHAOS_SYSVAR_FUNCS(y, 1);
+
+ CHAOS_SYSPAR_FUNCS(a);
+
+ CHAOS_SYSPAR_FUNCS_PRED(b, m_pred_b);
+ bool m_pred_b(t_float f)
+ {
+ return (f != 0);
+ }
+};
+
+
+#define HENON_CALLBACKS \
+MAP_CALLBACKS; \
+CHAOS_SYS_CALLBACKS(a); \
+CHAOS_SYS_CALLBACKS(b); \
+CHAOS_SYS_CALLBACKS(x); \
+CHAOS_SYS_CALLBACKS(y);
+
+#define HENON_ATTRIBUTES \
+MAP_ATTRIBUTES; \
+CHAOS_SYS_ATTRIBUTE(a); \
+CHAOS_SYS_ATTRIBUTE(b); \
+CHAOS_SYS_ATTRIBUTE(x); \
+CHAOS_SYS_ATTRIBUTE(y);
+