/* tent Attractor PD External */ /* Copyright Michael McGonagle, from Cliff Pickover, 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 "chaos.h" #define M_r_lo -1000 #define M_r_hi 1000 #define M_r 0 #define M_x 0 #define M_param_count 1 #define M_var_count 1 #define M_search_count 3 #define M_failure_limit 1000 static char *version = "tent v0.0, by Michael McGonagle, from Cliff Pickover, 2003"; t_class *tent_class; typedef struct tent_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 r, r_lo, r_hi; t_atom params_out[M_param_count]; t_outlet *params_outlet; double lyap_exp, lyap_lo, lyap_hi, lyap_limit, failure_ratio; } tent_struct; static void calc(tent_struct *tent, double *vars) { double x_0; x_0 =(vars[M_x]<=0.5)?2*tent -> r*vars[M_x]:2*tent -> r*(1.0-vars[M_x]); vars[M_x] = x_0; } // end calc static void calculate(tent_struct *tent) { calc(tent, tent -> vars); outlet_float(tent -> x_obj.ob_outlet, tent -> vars[M_x]); } // end calculate static void reset(tent_struct *tent, t_symbol *s, int argc, t_atom *argv) { if (argc == M_var_count) { tent -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv); } else { tent -> vars[M_x] = tent -> vars_init[M_x]; } // end if } // end reset static char *classify(tent_struct *tent) { static char buff[2]; char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; buff[0] = c[(int) (((tent -> r - M_r_lo) * (1.0 / (M_r_hi - M_r_lo))) * 26)]; buff[1] = '\0'; return buff; } static void make_results(tent_struct *tent) { SETFLOAT(&tent -> search_out[0], tent -> lyap_exp); SETSYMBOL(&tent -> search_out[1], gensym(classify(tent))); SETFLOAT(&tent -> search_out[2], tent -> failure_ratio); SETFLOAT(&tent -> vars_out[M_x], tent -> vars[M_x]); SETFLOAT(&tent -> params_out[M_r], tent -> r); outlet_list(tent -> params_outlet, gensym("list"), M_param_count, tent -> params_out); outlet_list(tent -> vars_outlet, gensym("list"), M_var_count, tent -> vars_out); } static void show(tent_struct *tent) { make_results(tent); outlet_anything(tent -> search_outlet, gensym("show"), M_search_count, tent -> search_out); } static void param(tent_struct *tent, t_symbol *s, int argc, t_atom *argv) { if (argc != 1) { post("Incorrect number of arguments for tent fractal. Expecting 1 arguments."); return; } tent -> r = (double) atom_getfloatarg(0, argc, argv); } static void seed(tent_struct *tent, 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(tent_struct *tent, t_floatarg l, t_floatarg h, t_floatarg lim) { tent -> lyap_lo = l; tent -> lyap_hi = h; tent -> lyap_limit = (double) ((int) lim); } static void elyap(tent_struct *tent) { double results[M_var_count]; int i; if (lyapunov_full((void *) tent, (t_gotfn) calc, M_var_count, tent -> vars, results) != NULL) { post("elyapunov:"); for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); } } } static void limiter(tent_struct *tent) { if (tent -> r_lo < M_r_lo) { tent -> r_lo = M_r_lo; } if (tent -> r_lo > M_r_hi) { tent -> r_lo = M_r_hi; } if (tent -> r_hi < M_r_lo) { tent -> r_hi = M_r_lo; } if (tent -> r_hi > M_r_hi) { tent -> r_hi = M_r_hi; } } static void constrain(tent_struct *tent, t_symbol *s, int argc, t_atom *argv) { int i; t_atom *arg = argv; if (argc == 0) { // reset to full limits of search ranges tent -> r_lo = M_r_lo; tent -> r_hi = M_r_hi; return; } if (argc == 1) { // set the ranges based on percentage of full range double percent = atom_getfloat(arg); double r_spread = ((M_r_hi - M_r_lo) * percent) / 2; tent -> r_lo = tent -> r - r_spread; tent -> r_hi = tent -> r + r_spread; limiter(tent); return; } if (argc != M_param_count * 2) { post("Invalid number of arguments for tent constraints, requires 2 values, got %d", argc); return; } tent -> r_lo = atom_getfloat(arg++); tent -> r_hi = atom_getfloat(arg++); limiter(tent); } static void search(tent_struct *tent, t_symbol *s, int argc, t_atom *argv) { int not_found, not_expired = tent -> lyap_limit; int jump, i, iterations; t_atom vars[M_var_count]; double temp_r = tent -> r; 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], tent -> vars_init[i]); } } do { jump = 500; not_found = 0; iterations = 10000; bad_params: tent -> r = (drand48() * (tent -> r_hi - tent -> r_lo)) + tent -> r_lo; // put any preliminary checks specific to this fractal to eliminate bad_params reset(tent, NULL, argc, vars); do { calc(tent, tent -> vars); } while(jump--); tent -> lyap_exp = lyapunov((void *) tent, (t_gotfn) calc, M_var_count, (double *) tent -> vars); if (isnan(tent -> lyap_exp)) { not_found = 1; } if (tent -> lyap_exp < tent -> lyap_lo || tent -> lyap_exp > tent -> lyap_hi) { not_found = 1; } not_expired--; } while(not_found && not_expired); reset(tent, NULL, argc, vars); if (!not_expired) { post("Could not find a fractal after %d attempts.", (int) tent -> lyap_limit); post("Try using wider constraints."); tent -> r = temp_r; outlet_anything(tent -> search_outlet, gensym("invalid"), 0, NULL); } else { tent -> failure_ratio = (tent -> lyap_limit - not_expired) / tent -> lyap_limit; make_results(tent); outlet_anything(tent -> search_outlet, gensym("search"), M_search_count, tent -> search_out); } } void *tent_new(t_symbol *s, int argc, t_atom *argv) { tent_struct *tent = (tent_struct *) pd_new(tent_class); if (tent != NULL) { outlet_new(&tent -> x_obj, &s_float); tent -> search_outlet = outlet_new(&tent -> x_obj, &s_list); tent -> vars_outlet = outlet_new(&tent -> x_obj, &s_list); tent -> params_outlet = outlet_new(&tent -> x_obj, &s_list); if (argc == M_param_count + M_var_count) { tent -> vars_init[M_x] = tent -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv); tent -> r = (double) atom_getfloatarg(1, argc, argv); } else { if (argc != 0 && argc != M_param_count + M_var_count) { post("Incorrect number of arguments for tent fractal. Expecting 2 arguments."); } tent -> vars_init[M_x] = 0.1; tent -> r = 1; } constrain(tent, NULL, 0, NULL); lyap(tent, -1000000.0, 1000000.0, M_failure_limit); } return (void *)tent; } void tent_setup(void) { tent_class = class_new(gensym("tent"), (t_newmethod) tent_new, 0, sizeof(tent_struct), 0, A_GIMME, 0); class_addbang(tent_class, (t_method) calculate); class_addmethod(tent_class, (t_method) reset, gensym("reset"), A_GIMME, 0); class_addmethod(tent_class, (t_method) show, gensym("show"), 0); class_addmethod(tent_class, (t_method) param, gensym("param"), A_GIMME, 0); class_addmethod(tent_class, (t_method) seed, gensym("seed"), A_GIMME, 0); class_addmethod(tent_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0); class_addmethod(tent_class, (t_method) elyap, gensym("elyapunov"), 0); class_addmethod(tent_class, (t_method) search, gensym("search"), A_GIMME, 0); class_addmethod(tent_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0); }