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Diffstat (limited to 'chaos/src/ikeda_laser_map.hpp')
| -rw-r--r-- | chaos/src/ikeda_laser_map.hpp | 153 |
1 files changed, 153 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..39d75c4 --- /dev/null +++ b/chaos/src/ikeda_laser_map.hpp @@ -0,0 +1,153 @@ +// +// +// 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: + protected map_base +{ +public: + ikeda() + : m_c1(0.4), m_c2(0.9), m_c3(9), m_roh(0.85) + { + m_num_eq = 2; + m_data = new data_t[2]; + set_x(0.5); + set_y(0.5); + } + + ~ikeda() + { + delete m_data; + } + + virtual void m_step() + { + data_t x = m_data[0]; + data_t y = m_data[1]; + + data_t tau = m_c1 - m_c3 / (1 + x*x + y*y); + data_t cos_tau = cos(tau); + data_t sin_tau = sin(tau); + + m_data[0] = m_roh + m_c2 * (x * cos_tau - y * sin_tau); + m_data[1] = m_c2 * (x * sin_tau + y * cos_tau); + } + + + void set_x(t_float f) + { + m_data[0] = (data_t) f; + } + + t_float get_x() + { + return (t_float)m_data[0]; + } + + void set_y(t_float f) + { + m_data[1] = (data_t) f; + } + + t_float get_y() + { + return (t_float)m_data[1]; + } + + + void set_c1(t_float f) + { + m_c1 = (data_t) f; + } + + t_float get_c1() + { + return (t_float)m_c1; + } + + + void set_c2(t_float f) + { + m_c2[1] = (data_t) f; + } + + t_float get_c2() + { + return (t_float)m_c2; + } + + + void set_c3(t_float f) + { + m_c3 = (data_t) f; + } + + t_float get_c3() + { + return (t_float)m_c3; + } + + + void set_roh(t_float f) + { + m_roh = (data_t) f; + } + + t_float get_roh() + { + return (t_float)m_roh; + } + + +private: + data_t m_c1, m_c2, m_c3, m_roh; +}; + + +#define IKEDA_CALLBACKS \ +MAP_CALLBACKS; \ +FLEXT_CALLVAR_F(m_system->get_c1, m_system->set_c1); \ +FLEXT_CALLVAR_F(m_system->get_c2, m_system->set_c2); \ +FLEXT_CALLVAR_F(m_system->get_c3, m_system->set_c3); \ +FLEXT_CALLVAR_F(m_system->get_roh, m_system->set_roh); \ +FLEXT_CALLVAR_F(m_system->get_x, m_system->set_x); \ +FLEXT_CALLVAR_F(m_system->get_y, m_system->set_y); \ + + +#define IKEDA_ATTRIBUTES \ +MAP_ATTRIBUTES; \ +FLEXT_ADDATTR_VAR("c1",m_system->get_c1, m_system->set_c1); \ +FLEXT_ADDATTR_VAR("c2",m_system->get_c2, m_system->set_c2); \ +FLEXT_ADDATTR_VAR("c3",m_system->get_c3, m_system->set_c3); \ +FLEXT_ADDATTR_VAR("roh",m_system->get_roh, m_system->set_roh); \ +FLEXT_ADDATTR_VAR("x",m_system->get_x, m_system->set_x); \ +FLEXT_ADDATTR_VAR("y",m_system->get_y, m_system->set_y); |