From 705f8dee50e2073a3aba60b03e5c9b86672abd4c Mon Sep 17 00:00:00 2001 From: "B. Bogart" Date: Tue, 30 Sep 2003 16:04:40 +0000 Subject: Opps - forgot to add the files that did not exist in chaosI! svn path=/trunk/externals/bbogart/chaos/; revision=1052 --- attract1.c | 369 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 369 insertions(+) create mode 100644 attract1.c (limited to 'attract1.c') diff --git a/attract1.c b/attract1.c new file mode 100644 index 0000000..dc1f4c1 --- /dev/null +++ b/attract1.c @@ -0,0 +1,369 @@ +/* attract1 Attractor PD External */ +/* Copyright Michael McGonagle, from 'attract.java' by Julian Sprott, 2003 */ +/* This program is distributed under the params of the GNU Public License */ + +/////////////////////////////////////////////////////////////////////////////////// +/* This file is part of Chaos PD Externals. */ +/* */ +/* Chaos PD Externals are free software; you can redistribute them and/or modify */ +/* them 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. */ +/* */ +/* Chaos PD Externals are distributed in the hope that they 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 the Chaos PD Externals; if not, write to the Free Software */ +/* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ +/////////////////////////////////////////////////////////////////////////////////// + +#include +#include +#include +#include +#include "lyapunov.h" + +#define M_a0_lo -3 +#define M_a0_hi 3 +#define M_a1_lo -3 +#define M_a1_hi 3 +#define M_a2_lo -3 +#define M_a2_hi 3 +#define M_a3_lo -3 +#define M_a3_hi 3 +#define M_a4_lo -3 +#define M_a4_hi 3 +#define M_a5_lo -3 +#define M_a5_hi 3 + +#define M_a0 0 +#define M_a1 1 +#define M_a2 2 +#define M_a3 3 +#define M_a4 4 +#define M_a5 5 + +#define M_x 0 +#define M_y 1 + +#define M_param_count 6 +#define M_var_count 2 +#define M_search_count 3 +#define M_failure_limit 1000 + +static char *version = "attract1 v0.0, by Michael McGonagle, from 'attract.java' by Julian Sprott, 2003"; + +t_class *attract1_class; + +typedef struct attract1_struct { + t_object x_obj; + + double vars[M_var_count]; + double vars_init[M_var_count]; + t_atom vars_out[M_var_count]; + t_outlet *vars_outlet; + + t_atom search_out[M_search_count]; + t_outlet *search_outlet; + + double a0, a0_lo, a0_hi, a1, a1_lo, a1_hi, a2, a2_lo, a2_hi, a3, a3_lo, a3_hi, a4, a4_lo, a4_hi, a5, a5_lo, a5_hi; + t_atom params_out[M_param_count]; + t_outlet *params_outlet; + double lyap_exp, lyap_lo, lyap_hi, lyap_limit, failure_ratio; + + t_outlet *outlets[M_var_count - 1]; +} attract1_struct; + +static void calc(attract1_struct *attract1, double *vars) { + double x_0, y_0; + x_0 =attract1 -> a0+vars[M_x]*(attract1 -> a1+attract1 -> a2*vars[M_x]+attract1 -> a3*vars[M_y])+vars[M_y]*(attract1 -> a4+attract1 -> a5*vars[M_y]); + y_0 =vars[M_x]; + vars[M_x] = x_0; + vars[M_y] = y_0; +} // end calc + +static void calculate(attract1_struct *attract1) { + calc(attract1, attract1 -> vars); + outlet_float(attract1 -> x_obj.ob_outlet, attract1 -> vars[M_x]); + outlet_float(attract1 -> outlets[M_y - 1], attract1 -> vars[M_y]); +} // end calculate + +static void reset(attract1_struct *attract1, t_symbol *s, int argc, t_atom *argv) { + if (argc == M_var_count) { + attract1 -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv); + attract1 -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv); + } else { + attract1 -> vars[M_x] = attract1 -> vars_init[M_x]; + attract1 -> vars[M_y] = attract1 -> vars_init[M_y]; + } // end if +} // end reset + +static char *classify(attract1_struct *attract1) { + static char buff[7]; + char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + buff[0] = c[(int) (((attract1 -> a0 - M_a0_lo) * (1.0 / (M_a0_hi - M_a0_lo))) * 26)]; + buff[1] = c[(int) (((attract1 -> a1 - M_a1_lo) * (1.0 / (M_a1_hi - M_a1_lo))) * 26)]; + buff[2] = c[(int) (((attract1 -> a2 - M_a2_lo) * (1.0 / (M_a2_hi - M_a2_lo))) * 26)]; + buff[3] = c[(int) (((attract1 -> a3 - M_a3_lo) * (1.0 / (M_a3_hi - M_a3_lo))) * 26)]; + buff[4] = c[(int) (((attract1 -> a4 - M_a4_lo) * (1.0 / (M_a4_hi - M_a4_lo))) * 26)]; + buff[5] = c[(int) (((attract1 -> a5 - M_a5_lo) * (1.0 / (M_a5_hi - M_a5_lo))) * 26)]; + buff[6] = '\0'; + return buff; +} + +static void make_results(attract1_struct *attract1) { + SETFLOAT(&attract1 -> search_out[0], attract1 -> lyap_exp); + SETSYMBOL(&attract1 -> search_out[1], gensym(classify(attract1))); + SETFLOAT(&attract1 -> search_out[2], attract1 -> failure_ratio); + SETFLOAT(&attract1 -> vars_out[M_x], attract1 -> vars[M_x]); + SETFLOAT(&attract1 -> vars_out[M_y], attract1 -> vars[M_y]); + SETFLOAT(&attract1 -> params_out[M_a0], attract1 -> a0); + SETFLOAT(&attract1 -> params_out[M_a1], attract1 -> a1); + SETFLOAT(&attract1 -> params_out[M_a2], attract1 -> a2); + SETFLOAT(&attract1 -> params_out[M_a3], attract1 -> a3); + SETFLOAT(&attract1 -> params_out[M_a4], attract1 -> a4); + SETFLOAT(&attract1 -> params_out[M_a5], attract1 -> a5); + outlet_list(attract1 -> params_outlet, gensym("list"), M_param_count, attract1 -> params_out); + outlet_list(attract1 -> vars_outlet, gensym("list"), M_var_count, attract1 -> vars_out); +} + +static void show(attract1_struct *attract1) { + make_results(attract1); + outlet_anything(attract1 -> search_outlet, gensym("show"), M_search_count, attract1 -> search_out); +} + +static void param(attract1_struct *attract1, t_symbol *s, int argc, t_atom *argv) { + if (argc != 6) { + post("Incorrect number of arguments for attract1 fractal. Expecting 6 arguments."); + return; + } + attract1 -> a0 = (double) atom_getfloatarg(0, argc, argv); + attract1 -> a1 = (double) atom_getfloatarg(1, argc, argv); + attract1 -> a2 = (double) atom_getfloatarg(2, argc, argv); + attract1 -> a3 = (double) atom_getfloatarg(3, argc, argv); + attract1 -> a4 = (double) atom_getfloatarg(4, argc, argv); + attract1 -> a5 = (double) atom_getfloatarg(5, argc, argv); +} + +static void seed(attract1_struct *attract1, t_symbol *s, int argc, t_atom *argv) { + if (argc > 0) { + srand48(((unsigned int)time(0))|1); + } else { + srand48((unsigned int) atom_getfloatarg(0, argc, argv)); + } +} + +static void lyap(attract1_struct *attract1, t_floatarg l, t_floatarg h, t_floatarg lim) { + attract1 -> lyap_lo = l; + attract1 -> lyap_hi = h; + attract1 -> lyap_limit = (double) ((int) lim); +} + +static void elyap(attract1_struct *attract1) { + double results[M_var_count]; + int i; + if (lyapunov_full((void *) attract1, (t_gotfn) calc, M_var_count, attract1 -> vars, results) != NULL) { + post("elyapunov:"); + for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); } + } +} + +static void limiter(attract1_struct *attract1) { + if (attract1 -> a0_lo < M_a0_lo) { attract1 -> a0_lo = M_a0_lo; } + if (attract1 -> a0_lo > M_a0_hi) { attract1 -> a0_lo = M_a0_hi; } + if (attract1 -> a0_hi < M_a0_lo) { attract1 -> a0_hi = M_a0_lo; } + if (attract1 -> a0_hi > M_a0_hi) { attract1 -> a0_hi = M_a0_hi; } + if (attract1 -> a1_lo < M_a1_lo) { attract1 -> a1_lo = M_a1_lo; } + if (attract1 -> a1_lo > M_a1_hi) { attract1 -> a1_lo = M_a1_hi; } + if (attract1 -> a1_hi < M_a1_lo) { attract1 -> a1_hi = M_a1_lo; } + if (attract1 -> a1_hi > M_a1_hi) { attract1 -> a1_hi = M_a1_hi; } + if (attract1 -> a2_lo < M_a2_lo) { attract1 -> a2_lo = M_a2_lo; } + if (attract1 -> a2_lo > M_a2_hi) { attract1 -> a2_lo = M_a2_hi; } + if (attract1 -> a2_hi < M_a2_lo) { attract1 -> a2_hi = M_a2_lo; } + if (attract1 -> a2_hi > M_a2_hi) { attract1 -> a2_hi = M_a2_hi; } + if (attract1 -> a3_lo < M_a3_lo) { attract1 -> a3_lo = M_a3_lo; } + if (attract1 -> a3_lo > M_a3_hi) { attract1 -> a3_lo = M_a3_hi; } + if (attract1 -> a3_hi < M_a3_lo) { attract1 -> a3_hi = M_a3_lo; } + if (attract1 -> a3_hi > M_a3_hi) { attract1 -> a3_hi = M_a3_hi; } + if (attract1 -> a4_lo < M_a4_lo) { attract1 -> a4_lo = M_a4_lo; } + if (attract1 -> a4_lo > M_a4_hi) { attract1 -> a4_lo = M_a4_hi; } + if (attract1 -> a4_hi < M_a4_lo) { attract1 -> a4_hi = M_a4_lo; } + if (attract1 -> a4_hi > M_a4_hi) { attract1 -> a4_hi = M_a4_hi; } + if (attract1 -> a5_lo < M_a5_lo) { attract1 -> a5_lo = M_a5_lo; } + if (attract1 -> a5_lo > M_a5_hi) { attract1 -> a5_lo = M_a5_hi; } + if (attract1 -> a5_hi < M_a5_lo) { attract1 -> a5_hi = M_a5_lo; } + if (attract1 -> a5_hi > M_a5_hi) { attract1 -> a5_hi = M_a5_hi; } +} + +static void constrain(attract1_struct *attract1, t_symbol *s, int argc, t_atom *argv) { + int i; + t_atom *arg = argv; + if (argc == 0) { + // reset to full limits of search ranges + attract1 -> a0_lo = M_a0_lo; + attract1 -> a0_hi = M_a0_hi; + attract1 -> a1_lo = M_a1_lo; + attract1 -> a1_hi = M_a1_hi; + attract1 -> a2_lo = M_a2_lo; + attract1 -> a2_hi = M_a2_hi; + attract1 -> a3_lo = M_a3_lo; + attract1 -> a3_hi = M_a3_hi; + attract1 -> a4_lo = M_a4_lo; + attract1 -> a4_hi = M_a4_hi; + attract1 -> a5_lo = M_a5_lo; + attract1 -> a5_hi = M_a5_hi; + return; + } + if (argc == 1) { + // set the ranges based on percentage of full range + double percent = atom_getfloat(arg); + double a0_spread = ((M_a0_hi - M_a0_lo) * percent) / 2; + double a1_spread = ((M_a1_hi - M_a1_lo) * percent) / 2; + double a2_spread = ((M_a2_hi - M_a2_lo) * percent) / 2; + double a3_spread = ((M_a3_hi - M_a3_lo) * percent) / 2; + double a4_spread = ((M_a4_hi - M_a4_lo) * percent) / 2; + double a5_spread = ((M_a5_hi - M_a5_lo) * percent) / 2; + attract1 -> a0_lo = attract1 -> a0 - a0_spread; + attract1 -> a0_hi = attract1 -> a0 + a0_spread; + attract1 -> a1_lo = attract1 -> a1 - a1_spread; + attract1 -> a1_hi = attract1 -> a1 + a1_spread; + attract1 -> a2_lo = attract1 -> a2 - a2_spread; + attract1 -> a2_hi = attract1 -> a2 + a2_spread; + attract1 -> a3_lo = attract1 -> a3 - a3_spread; + attract1 -> a3_hi = attract1 -> a3 + a3_spread; + attract1 -> a4_lo = attract1 -> a4 - a4_spread; + attract1 -> a4_hi = attract1 -> a4 + a4_spread; + attract1 -> a5_lo = attract1 -> a5 - a5_spread; + attract1 -> a5_hi = attract1 -> a5 + a5_spread; + limiter(attract1); + return; + } + if (argc != M_param_count * 2) { + post("Invalid number of arguments for attract1 constraints, requires 12 values, got %d", argc); + return; + } + attract1 -> a0_lo = atom_getfloat(arg++); + attract1 -> a0_hi = atom_getfloat(arg++); + attract1 -> a1_lo = atom_getfloat(arg++); + attract1 -> a1_hi = atom_getfloat(arg++); + attract1 -> a2_lo = atom_getfloat(arg++); + attract1 -> a2_hi = atom_getfloat(arg++); + attract1 -> a3_lo = atom_getfloat(arg++); + attract1 -> a3_hi = atom_getfloat(arg++); + attract1 -> a4_lo = atom_getfloat(arg++); + attract1 -> a4_hi = atom_getfloat(arg++); + attract1 -> a5_lo = atom_getfloat(arg++); + attract1 -> a5_hi = atom_getfloat(arg++); + limiter(attract1); +} + +static void search(attract1_struct *attract1, t_symbol *s, int argc, t_atom *argv) { + int not_found, not_expired = attract1 -> lyap_limit; + int jump, i, iterations; + t_atom vars[M_var_count]; + double temp_a0 = attract1 -> a0; + double temp_a1 = attract1 -> a1; + double temp_a2 = attract1 -> a2; + double temp_a3 = attract1 -> a3; + double temp_a4 = attract1 -> a4; + double temp_a5 = attract1 -> a5; + if (argc > 0) { + for (i = 0; i < M_var_count; i++) { + SETFLOAT(&vars[i], atom_getfloatarg(i, argc, argv)); + } + } else { + for (i = 0; i < M_var_count; i++) { + SETFLOAT(&vars[i], attract1 -> vars_init[i]); + } + } + do { + jump = 500; + not_found = 0; + iterations = 10000; + bad_params: + attract1 -> a0 = (drand48() * (attract1 -> a0_hi - attract1 -> a0_lo)) + attract1 -> a0_lo; + attract1 -> a1 = (drand48() * (attract1 -> a1_hi - attract1 -> a1_lo)) + attract1 -> a1_lo; + attract1 -> a2 = (drand48() * (attract1 -> a2_hi - attract1 -> a2_lo)) + attract1 -> a2_lo; + attract1 -> a3 = (drand48() * (attract1 -> a3_hi - attract1 -> a3_lo)) + attract1 -> a3_lo; + attract1 -> a4 = (drand48() * (attract1 -> a4_hi - attract1 -> a4_lo)) + attract1 -> a4_lo; + attract1 -> a5 = (drand48() * (attract1 -> a5_hi - attract1 -> a5_lo)) + attract1 -> a5_lo; + // put any preliminary checks specific to this fractal to eliminate bad_params + + reset(attract1, NULL, argc, vars); + do { calc(attract1, attract1 -> vars); } while(jump--); + attract1 -> lyap_exp = lyapunov((void *) attract1, (t_gotfn) calc, M_var_count, (double *) attract1 -> vars); + if (isnan(attract1 -> lyap_exp)) { not_found = 1; } + if (attract1 -> lyap_exp < attract1 -> lyap_lo || attract1 -> lyap_exp > attract1 -> lyap_hi) { not_found = 1; } + not_expired--; + } while(not_found && not_expired); + reset(attract1, NULL, argc, vars); + if (!not_expired) { + post("Could not find a fractal after %d attempts.", (int) attract1 -> lyap_limit); + post("Try using wider constraints."); + attract1 -> a0 = temp_a0; + attract1 -> a1 = temp_a1; + attract1 -> a2 = temp_a2; + attract1 -> a3 = temp_a3; + attract1 -> a4 = temp_a4; + attract1 -> a5 = temp_a5; + outlet_anything(attract1 -> search_outlet, gensym("invalid"), 0, NULL); + } else { + attract1 -> failure_ratio = (attract1 -> lyap_limit - not_expired) / attract1 -> lyap_limit; + make_results(attract1); + outlet_anything(attract1 -> search_outlet, gensym("search"), M_search_count, attract1 -> search_out); + } +} + +void *attract1_new(t_symbol *s, int argc, t_atom *argv) { + attract1_struct *attract1 = (attract1_struct *) pd_new(attract1_class); + if (attract1 != NULL) { + outlet_new(&attract1 -> x_obj, &s_float); + attract1 -> outlets[0] = outlet_new(&attract1 -> x_obj, &s_float); + attract1 -> search_outlet = outlet_new(&attract1 -> x_obj, &s_list); + attract1 -> vars_outlet = outlet_new(&attract1 -> x_obj, &s_list); + attract1 -> params_outlet = outlet_new(&attract1 -> x_obj, &s_list); + if (argc == M_param_count + M_var_count) { + attract1 -> vars_init[M_x] = attract1 -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv); + attract1 -> vars_init[M_y] = attract1 -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv); + attract1 -> a0 = (double) atom_getfloatarg(2, argc, argv); + attract1 -> a1 = (double) atom_getfloatarg(3, argc, argv); + attract1 -> a2 = (double) atom_getfloatarg(4, argc, argv); + attract1 -> a3 = (double) atom_getfloatarg(5, argc, argv); + attract1 -> a4 = (double) atom_getfloatarg(6, argc, argv); + attract1 -> a5 = (double) atom_getfloatarg(7, argc, argv); + } else { + if (argc != 0 && argc != M_param_count + M_var_count) { + post("Incorrect number of arguments for attract1 fractal. Expecting 8 arguments."); + } + attract1 -> vars_init[M_x] = 0; + attract1 -> vars_init[M_y] = 0; + attract1 -> a0 = 1; + attract1 -> a1 = 1; + attract1 -> a2 = 1; + attract1 -> a3 = 1; + attract1 -> a4 = 1; + attract1 -> a5 = 1; + } + constrain(attract1, NULL, 0, NULL); + lyap(attract1, -1000000.0, 1000000.0, M_failure_limit); + } + return (void *)attract1; +} + +void attract1_setup(void) { + attract1_class = class_new(gensym("attract1"), (t_newmethod) attract1_new, 0, sizeof(attract1_struct), 0, A_GIMME, 0); + class_addbang(attract1_class, (t_method) calculate); + class_addmethod(attract1_class, (t_method) reset, gensym("reset"), A_GIMME, 0); + class_addmethod(attract1_class, (t_method) show, gensym("show"), 0); + class_addmethod(attract1_class, (t_method) param, gensym("param"), A_GIMME, 0); + class_addmethod(attract1_class, (t_method) seed, gensym("seed"), A_GIMME, 0); + class_addmethod(attract1_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0); + class_addmethod(attract1_class, (t_method) elyap, gensym("elyapunov"), 0); + class_addmethod(attract1_class, (t_method) search, gensym("search"), A_GIMME, 0); + class_addmethod(attract1_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0); + class_sethelpsymbol(attract1_class, gensym("help-attract1.pd")); +} + -- cgit v1.2.1