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Diffstat (limited to 'chaos/src/standard_map.hpp')
-rw-r--r-- | chaos/src/standard_map.hpp | 130 |
1 files changed, 130 insertions, 0 deletions
diff --git a/chaos/src/standard_map.hpp b/chaos/src/standard_map.hpp new file mode 100644 index 0000000..5f77af9 --- /dev/null +++ b/chaos/src/standard_map.hpp @@ -0,0 +1,130 @@ +// +// +// 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> + +// standard map: I[n+1] = I[n] + k * sin(theta[n]) +// theta[n+1] = theta[n] + I[n] + k * sin(theta[n]) +// 0 <= theta <= 2*pi +// taken from Willi-Hans Steeb: Chaos and Fractals + +class standard: + protected map_base +{ +public: + standard() + : m_k(0.8) + { + m_num_eq = 2; + m_data = new data_t[2]; + set_I(0.1); + set_theta(0.2); + } + + ~standard() + { + delete m_data; + } + + virtual void m_step() + { + data_t I = m_data[0]; + data_t theta = m_data[1]; + + m_data[0] = I + m_k * sin(theta); + theta = theta + I + k * sin(theta); + + if (y > 2 * M_PI) + { + do + { + y -= 2*M_PI; + } + while (y > 2 * M_PI); + goto put_data; + } + + if (y < 0) + { + do + { + y += 2*M_PI; + } + while (y < 0); + } + + put_data: + m_data[1] = theta; + } + + + void set_I(t_float f) + { + m_data[0] = (data_t) f; + } + + t_float get_I() + { + return (t_float)m_data[0]; + } + + + void set_theta(t_float f) + { + if ( (f >= 0) && (f < 2*M_PI)) + m_data[1] = (data_t) f; + else + post("value for theta %f out of range", f); + } + + t_float get_theta() + { + return (t_float)m_data[1]; + } + + + void set_k(t_float f) + { + m_k = (data_t) f; + } + + t_float get_k() + { + return (t_float)m_k; + } + +private: + data_t m_k; +}; + + +#define STANDARD_CALLBACKS \ +MAP_CALLBACKS; \ +FLEXT_CALLVAR_F(m_system->get_I, m_system->set_I); \ +FLEXT_CALLVAR_F(m_system->get_theta, m_system->set_theta); \ +FLEXT_CALLVAR_F(m_system->get_k, m_system->set_k); + + +#define STANDARD_ATTRIBUTES \ +MAP_ATTRIBUTES; \ +FLEXT_ADDATTR_VAR("I",m_system->get_I, m_system->set_I); \ +FLEXT_ADDATTR_VAR("theta",m_system->get_theta, m_system->set_theta); \ +FLEXT_ADDATTR_VAR("k",m_system->get_k, m_system->set_k); |