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Diffstat (limited to 'chaos/src/latoomutgamma.hpp')
| -rw-r--r-- | chaos/src/latoomutgamma.hpp | 85 |
1 files changed, 85 insertions, 0 deletions
diff --git a/chaos/src/latoomutgamma.hpp b/chaos/src/latoomutgamma.hpp new file mode 100644 index 0000000..040a071 --- /dev/null +++ b/chaos/src/latoomutgamma.hpp @@ -0,0 +1,85 @@ +// +// +// 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> + +// latoocarfian model, mutation gamma: +// x1[n+1] = abs(sin(x2[n]*b)) + pow(sin(x1[n]*b),2) +// x2[n+1] = abs(sin(x1[n]*a)) + pow(sin(x2[n]*a),2) +// taken from Pickover: Chaos In Wonderland + +class latoomutgamma + : public map_base<2> +{ +public: + latoomutgamma() + { + CHAOS_SYS_INIT(x1,0.5,0); + CHAOS_SYS_INIT(x2,0.5,1); + + CHAOS_PAR_INIT(a,-0.966918); + CHAOS_PAR_INIT(b,2.879879); + } + + void m_step() + { + data_t x1 = m_data[0], x2 = m_data[1]; + data_t a = CHAOS_PARAMETER(a), b = CHAOS_PARAMETER(b); + data_t tmp; + + tmp = sin(x1*b); + m_data[0] = std::abs(sin(x2*b)) + tmp*tmp; + tmp = sin(x2*a); + m_data[1] = std::abs(sin(x1*a)) + tmp*tmp; + } + + + /* function has a fix point for x1 == x2 == 0 */ + void m_verify() + { + if (m_data[0] == 0 && m_data[1] == 0) + for (int i = 0; i != 2; ++i) + m_data[i] = rand_range(-1,1); + } + + CHAOS_SYSVAR_FUNCS(x1, 0); + CHAOS_SYSVAR_FUNCS(x2, 1); + + CHAOS_SYSPAR_FUNCS(a); + CHAOS_SYSPAR_FUNCS(b); +}; + + +#define LATOOMUTGAMMA_CALLBACKS \ +MAP_CALLBACKS; \ +CHAOS_SYS_CALLBACKS(x1); \ +CHAOS_SYS_CALLBACKS(x2); \ +CHAOS_SYS_CALLBACKS(a); \ +CHAOS_SYS_CALLBACKS(b); + + +#define LATOOMUTGAMMA_ATTRIBUTES \ +MAP_ATTRIBUTES; \ +CHAOS_SYS_ATTRIBUTE(x1); \ +CHAOS_SYS_ATTRIBUTE(x2); \ +CHAOS_SYS_ATTRIBUTE(a); \ +CHAOS_SYS_ATTRIBUTE(b); + |