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Diffstat (limited to 'chaos/src/logistic_map.hpp')
-rw-r--r-- | chaos/src/logistic_map.hpp | 79 |
1 files changed, 79 insertions, 0 deletions
diff --git a/chaos/src/logistic_map.hpp b/chaos/src/logistic_map.hpp new file mode 100644 index 0000000..2d19855 --- /dev/null +++ b/chaos/src/logistic_map.hpp @@ -0,0 +1,79 @@ +// +// +// 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" + +// logistic map: x[n+1] = alpha * x[n] * (1 - x[n]) +// 0 < x[n] < 1 +// 0 <= alpha <= 4 + +class logistic: + public map_base<1> +{ +public: + logistic() + { + CHAOS_PAR_INIT(alpha, 3.8); + CHAOS_SYS_INIT(x, 0.5,0); + } + + ~logistic() + { + } + + void m_step() + { + data_t x = m_data[0]; + data_t alpha = CHAOS_PARAMETER(alpha); + m_data[0] = alpha * x * (1.f - x); + } + + CHAOS_SYSPAR_FUNCS_PRED(alpha, m_pred_alpha); + bool m_pred_alpha(data_t f) + { + return (f > 0) && (f < 4); + } + + CHAOS_SYSVAR_FUNCS_PRED(x, 0, m_pred_x); + + bool m_pred_x(data_t f) + { + return (f > 0) && (f < 1); + } + + virtual void m_verify() + { + data_t x = m_data[0]; + if (m_pred_x(x)) + return; + m_data[0] = 0.5; + } +}; + +#define LOGISTIC_CALLBACKS \ +MAP_CALLBACKS; \ +CHAOS_SYS_CALLBACKS(alpha); \ +CHAOS_SYS_CALLBACKS(x); + +#define LOGISTIC_ATTRIBUTES \ +MAP_ATTRIBUTES; \ +CHAOS_SYS_ATTRIBUTE(alpha); \ +CHAOS_SYS_ATTRIBUTE(x); + |