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Diffstat (limited to 'chaos/src/ikeda_laser_map.hpp')
| -rw-r--r-- | chaos/src/ikeda_laser_map.hpp | 91 |
1 files changed, 91 insertions, 0 deletions
diff --git a/chaos/src/ikeda_laser_map.hpp b/chaos/src/ikeda_laser_map.hpp new file mode 100644 index 0000000..534a9de --- /dev/null +++ b/chaos/src/ikeda_laser_map.hpp @@ -0,0 +1,91 @@ +// +// +// 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> + +// ikeda laser map: z[n+1] = roh + c2 * z[n] * +// exp (j * (c1 - c3 / (1 + abs(z) * abs(z)))) +// z is complex +// +// equal: x[n+1] = roh + c2 * (x[n] * cos(tau) - y[n] * sin (tau)) +// y[n+1] = c2 * (x[n] * sin(tau) + y[n] * cos(tau)) +// tau = c1 - (c2 / (1 + x*x + y*y)) +// +// taken from Willi-Hans Steeb: Chaos and Fractals + +class ikeda_laser_map: + public map_base<1> +{ +public: + ikeda_laser_map() + { + CHAOS_PAR_INIT(c1,0.4); + CHAOS_PAR_INIT(c2,0.9); + CHAOS_PAR_INIT(c3,9); + CHAOS_PAR_INIT(roh,0.85); + + CHAOS_SYS_INIT(x,0.5,0); + CHAOS_SYS_INIT(y,0.5,1); + } + + void m_step() + { + data_t x = m_data[0]; + data_t y = m_data[1]; + + data_t tau = CHAOS_PARAMETER(c1) - + CHAOS_PARAMETER(c3) / (1 + x*x + y*y); + data_t cos_tau = cos(tau); + data_t sin_tau = sin(tau); + + m_data[0] = CHAOS_PARAMETER(roh) + CHAOS_PARAMETER(c2) + * (x * cos_tau - y * sin_tau); + m_data[1] = CHAOS_PARAMETER(c2) * (x * sin_tau + y * cos_tau); + } + + CHAOS_SYSVAR_FUNCS(x, 0); + CHAOS_SYSVAR_FUNCS(y, 1); + + CHAOS_SYSPAR_FUNCS(c1); + CHAOS_SYSPAR_FUNCS(c2); + CHAOS_SYSPAR_FUNCS(c3); + CHAOS_SYSPAR_FUNCS(roh); + +}; + + +#define IKEDA_LASER_MAP_CALLBACKS \ +MAP_CALLBACKS; \ +CHAOS_SYS_CALLBACKS(c1); \ +CHAOS_SYS_CALLBACKS(c2); \ +CHAOS_SYS_CALLBACKS(c3); \ +CHAOS_SYS_CALLBACKS(roh); \ +CHAOS_SYS_CALLBACKS(x); \ +CHAOS_SYS_CALLBACKS(y); + +#define IKEDA_LASER_MAP_ATTRIBUTES \ +MAP_ATTRIBUTES; \ +CHAOS_SYS_ATTRIBUTE(c1); \ +CHAOS_SYS_ATTRIBUTE(c2); \ +CHAOS_SYS_ATTRIBUTE(c3); \ +CHAOS_SYS_ATTRIBUTE(roh); \ +CHAOS_SYS_ATTRIBUTE(x); \ +CHAOS_SYS_ATTRIBUTE(y); |