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Diffstat (limited to 'chaos/src/latoocarfian.hpp')
| -rw-r--r-- | chaos/src/latoocarfian.hpp | 99 |
1 files changed, 99 insertions, 0 deletions
diff --git a/chaos/src/latoocarfian.hpp b/chaos/src/latoocarfian.hpp new file mode 100644 index 0000000..1329bd3 --- /dev/null +++ b/chaos/src/latoocarfian.hpp @@ -0,0 +1,99 @@ +// +// +// 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: x1[n+1] = sin(x2[n]*b) + c*sin(x1[n]*b) +// x2[n+1] = sin(x1[n]*a) + d*sin(x2[n]*a) +// -3 < a,b < 3 +// -0.5 < c,d < 1.5 +// taken from Pickover: Chaos In Wonderland + +class latoocarfian + : public map_base<2> +{ +public: + latoocarfian() + { + CHAOS_SYS_INIT(x1,0.5,0); + CHAOS_SYS_INIT(x2,0,1); + + CHAOS_PAR_INIT(a,-0.966918); + CHAOS_PAR_INIT(b,2.879879); + CHAOS_PAR_INIT(c,0.765145); + CHAOS_PAR_INIT(d,0.744728); + } + + void m_step() + { + data_t x1 = m_data[0], x2 = m_data[1]; + data_t a = CHAOS_PARAMETER(a), b = CHAOS_PARAMETER(b), + c = CHAOS_PARAMETER(c), d = CHAOS_PARAMETER(d); + + m_data[0] = sin(x2*b) + c*sin(x1*b); + m_data[1] = sin(x1*a) + d*sin(x2*a); + } + + CHAOS_SYSVAR_FUNCS(x1, 0); + CHAOS_SYSVAR_FUNCS(x2, 1); + + CHAOS_SYSPAR_FUNCS_PRED(a,m_pred_1); + CHAOS_SYSPAR_FUNCS_PRED(b,m_pred_1); + CHAOS_SYSPAR_FUNCS_PRED(c,m_pred_2); + CHAOS_SYSPAR_FUNCS_PRED(d,m_pred_2); + + bool m_pred_1(t_float f) + { + return (f > -3.f) && (f < 3.f); + } + + bool m_pred_2(t_float f) + { + return (f > -0.5) && (f < 1.5); + } + + /* function has a fix point for x1 == x2 == 0 */ + virtual void m_verify() + { + if (m_data[0] == 0 && m_data[1] == 0) + for (int i = 0; i != 2; ++i) + m_data[i] = rand_range(0,0.1); + } +}; + + +#define LATOOCARFIAN_CALLBACKS \ +MAP_CALLBACKS; \ +CHAOS_SYS_CALLBACKS(x1); \ +CHAOS_SYS_CALLBACKS(x2); \ +CHAOS_SYS_CALLBACKS(a); \ +CHAOS_SYS_CALLBACKS(b); \ +CHAOS_SYS_CALLBACKS(c); \ +CHAOS_SYS_CALLBACKS(d); + +#define LATOOCARFIAN_ATTRIBUTES \ +MAP_ATTRIBUTES; \ +CHAOS_SYS_ATTRIBUTE(x1); \ +CHAOS_SYS_ATTRIBUTE(x2); \ +CHAOS_SYS_ATTRIBUTE(a); \ +CHAOS_SYS_ATTRIBUTE(b); \ +CHAOS_SYS_ATTRIBUTE(c); \ +CHAOS_SYS_ATTRIBUTE(d); |