/* latoomutbeta 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_a_lo -3 #define M_a_hi 3 #define M_b_lo -3 #define M_b_hi 3 #define M_c_lo 0.5 #define M_c_hi 1.5 #define M_d_lo 0.5 #define M_d_hi 1.5 #define M_a 0 #define M_b 1 #define M_c 2 #define M_d 3 #define M_x 0 #define M_y 1 #define M_param_count 4 #define M_var_count 2 #define M_search_count 3 #define M_failure_limit 1000 static char *version = "latoomutbeta v0.0, by Michael McGonagle, from Cliff Pickover, 2003"; t_class *latoomutbeta_class; typedef struct latoomutbeta_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 a, a_lo, a_hi, b, b_lo, b_hi, c, c_lo, c_hi, d, d_lo, d_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]; } latoomutbeta_struct; static void calc(latoomutbeta_struct *latoomutbeta, double *vars) { double x_0, y_0; x_0 =sin(vars[M_y]*latoomutbeta -> b)+pow(sin(vars[M_x]*latoomutbeta -> b),2); y_0 =sin(vars[M_x]*latoomutbeta -> a)+pow(sin(vars[M_y]*latoomutbeta -> a),2); vars[M_x] = x_0; vars[M_y] = y_0; } // end calc static void calculate(latoomutbeta_struct *latoomutbeta) { calc(latoomutbeta, latoomutbeta -> vars); outlet_float(latoomutbeta -> x_obj.ob_outlet, latoomutbeta -> vars[M_x]); outlet_float(latoomutbeta -> outlets[M_y - 1], latoomutbeta -> vars[M_y]); } // end calculate static void reset(latoomutbeta_struct *latoomutbeta, t_symbol *s, int argc, t_atom *argv) { if (argc == M_var_count) { latoomutbeta -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv); latoomutbeta -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv); } else { latoomutbeta -> vars[M_x] = latoomutbeta -> vars_init[M_x]; latoomutbeta -> vars[M_y] = latoomutbeta -> vars_init[M_y]; } // end if } // end reset static char *classify(latoomutbeta_struct *latoomutbeta) { static char buff[5]; char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; buff[0] = c[(int) (((latoomutbeta -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)]; buff[1] = c[(int) (((latoomutbeta -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)]; buff[2] = c[(int) (((latoomutbeta -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)]; buff[3] = c[(int) (((latoomutbeta -> d - M_d_lo) * (1.0 / (M_d_hi - M_d_lo))) * 26)]; buff[4] = '\0'; return buff; } static void make_results(latoomutbeta_struct *latoomutbeta) { SETFLOAT(&latoomutbeta -> search_out[0], latoomutbeta -> lyap_exp); SETSYMBOL(&latoomutbeta -> search_out[1], gensym(classify(latoomutbeta))); SETFLOAT(&latoomutbeta -> search_out[2], latoomutbeta -> failure_ratio); SETFLOAT(&latoomutbeta -> vars_out[M_x], latoomutbeta -> vars[M_x]); SETFLOAT(&latoomutbeta -> vars_out[M_y], latoomutbeta -> vars[M_y]); SETFLOAT(&latoomutbeta -> params_out[M_a], latoomutbeta -> a); SETFLOAT(&latoomutbeta -> params_out[M_b], latoomutbeta -> b); SETFLOAT(&latoomutbeta -> params_out[M_c], latoomutbeta -> c); SETFLOAT(&latoomutbeta -> params_out[M_d], latoomutbeta -> d); outlet_list(latoomutbeta -> params_outlet, gensym("list"), M_param_count, latoomutbeta -> params_out); outlet_list(latoomutbeta -> vars_outlet, gensym("list"), M_var_count, latoomutbeta -> vars_out); } static void show(latoomutbeta_struct *latoomutbeta) { make_results(latoomutbeta); outlet_anything(latoomutbeta -> search_outlet, gensym("show"), M_search_count, latoomutbeta -> search_out); } static void param(latoomutbeta_struct *latoomutbeta, t_symbol *s, int argc, t_atom *argv) { if (argc != 4) { post("Incorrect number of arguments for latoomutbeta fractal. Expecting 4 arguments."); return; } latoomutbeta -> a = (double) atom_getfloatarg(0, argc, argv); latoomutbeta -> b = (double) atom_getfloatarg(1, argc, argv); latoomutbeta -> c = (double) atom_getfloatarg(2, argc, argv); latoomutbeta -> d = (double) atom_getfloatarg(3, argc, argv); } static void seed(latoomutbeta_struct *latoomutbeta, 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(latoomutbeta_struct *latoomutbeta, t_floatarg l, t_floatarg h, t_floatarg lim) { latoomutbeta -> lyap_lo = l; latoomutbeta -> lyap_hi = h; latoomutbeta -> lyap_limit = (double) ((int) lim); } static void elyap(latoomutbeta_struct *latoomutbeta) { double results[M_var_count]; int i; if (lyapunov_full((void *) latoomutbeta, (t_gotfn) calc, M_var_count, latoomutbeta -> vars, results) != NULL) { post("elyapunov:"); for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); } } } static void limiter(latoomutbeta_struct *latoomutbeta) { if (latoomutbeta -> a_lo < M_a_lo) { latoomutbeta -> a_lo = M_a_lo; } if (latoomutbeta -> a_lo > M_a_hi) { latoomutbeta -> a_lo = M_a_hi; } if (latoomutbeta -> a_hi < M_a_lo) { latoomutbeta -> a_hi = M_a_lo; } if (latoomutbeta -> a_hi > M_a_hi) { latoomutbeta -> a_hi = M_a_hi; } if (latoomutbeta -> b_lo < M_b_lo) { latoomutbeta -> b_lo = M_b_lo; } if (latoomutbeta -> b_lo > M_b_hi) { latoomutbeta -> b_lo = M_b_hi; } if (latoomutbeta -> b_hi < M_b_lo) { latoomutbeta -> b_hi = M_b_lo; } if (latoomutbeta -> b_hi > M_b_hi) { latoomutbeta -> b_hi = M_b_hi; } if (latoomutbeta -> c_lo < M_c_lo) { latoomutbeta -> c_lo = M_c_lo; } if (latoomutbeta -> c_lo > M_c_hi) { latoomutbeta -> c_lo = M_c_hi; } if (latoomutbeta -> c_hi < M_c_lo) { latoomutbeta -> c_hi = M_c_lo; } if (latoomutbeta -> c_hi > M_c_hi) { latoomutbeta -> c_hi = M_c_hi; } if (latoomutbeta -> d_lo < M_d_lo) { latoomutbeta -> d_lo = M_d_lo; } if (latoomutbeta -> d_lo > M_d_hi) { latoomutbeta -> d_lo = M_d_hi; } if (latoomutbeta -> d_hi < M_d_lo) { latoomutbeta -> d_hi = M_d_lo; } if (latoomutbeta -> d_hi > M_d_hi) { latoomutbeta -> d_hi = M_d_hi; } } static void constrain(latoomutbeta_struct *latoomutbeta, t_symbol *s, int argc, t_atom *argv) { int i; t_atom *arg = argv; if (argc == 0) { // reset to full limits of search ranges latoomutbeta -> a_lo = M_a_lo; latoomutbeta -> a_hi = M_a_hi; latoomutbeta -> b_lo = M_b_lo; latoomutbeta -> b_hi = M_b_hi; latoomutbeta -> c_lo = M_c_lo; latoomutbeta -> c_hi = M_c_hi; latoomutbeta -> d_lo = M_d_lo; latoomutbeta -> d_hi = M_d_hi; return; } if (argc == 1) { // set the ranges based on percentage of full range double percent = atom_getfloat(arg); double a_spread = ((M_a_hi - M_a_lo) * percent) / 2; double b_spread = ((M_b_hi - M_b_lo) * percent) / 2; double c_spread = ((M_c_hi - M_c_lo) * percent) / 2; double d_spread = ((M_d_hi - M_d_lo) * percent) / 2; latoomutbeta -> a_lo = latoomutbeta -> a - a_spread; latoomutbeta -> a_hi = latoomutbeta -> a + a_spread; latoomutbeta -> b_lo = latoomutbeta -> b - b_spread; latoomutbeta -> b_hi = latoomutbeta -> b + b_spread; latoomutbeta -> c_lo = latoomutbeta -> c - c_spread; latoomutbeta -> c_hi = latoomutbeta -> c + c_spread; latoomutbeta -> d_lo = latoomutbeta -> d - d_spread; latoomutbeta -> d_hi = latoomutbeta -> d + d_spread; limiter(latoomutbeta); return; } if (argc != M_param_count * 2) { post("Invalid number of arguments for latoomutbeta constraints, requires 8 values, got %d", argc); return; } latoomutbeta -> a_lo = atom_getfloat(arg++); latoomutbeta -> a_hi = atom_getfloat(arg++); latoomutbeta -> b_lo = atom_getfloat(arg++); latoomutbeta -> b_hi = atom_getfloat(arg++); latoomutbeta -> c_lo = atom_getfloat(arg++); latoomutbeta -> c_hi = atom_getfloat(arg++); latoomutbeta -> d_lo = atom_getfloat(arg++); latoomutbeta -> d_hi = atom_getfloat(arg++); limiter(latoomutbeta); } static void search(latoomutbeta_struct *latoomutbeta, t_symbol *s, int argc, t_atom *argv) { int not_found, not_expired = latoomutbeta -> lyap_limit; int jump, i, iterations; t_atom vars[M_var_count]; double temp_a = latoomutbeta -> a; double temp_b = latoomutbeta -> b; double temp_c = latoomutbeta -> c; double temp_d = latoomutbeta -> d; 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], latoomutbeta -> vars_init[i]); } } do { jump = 500; not_found = 0; iterations = 10000; bad_params: latoomutbeta -> a = (drand48() * (latoomutbeta -> a_hi - latoomutbeta -> a_lo)) + latoomutbeta -> a_lo; latoomutbeta -> b = (drand48() * (latoomutbeta -> b_hi - latoomutbeta -> b_lo)) + latoomutbeta -> b_lo; latoomutbeta -> c = (drand48() * (latoomutbeta -> c_hi - latoomutbeta -> c_lo)) + latoomutbeta -> c_lo; latoomutbeta -> d = (drand48() * (latoomutbeta -> d_hi - latoomutbeta -> d_lo)) + latoomutbeta -> d_lo; // put any preliminary checks specific to this fractal to eliminate bad_params reset(latoomutbeta, NULL, argc, vars); do { calc(latoomutbeta, latoomutbeta -> vars); } while(jump--); latoomutbeta -> lyap_exp = lyapunov((void *) latoomutbeta, (t_gotfn) calc, M_var_count, (double *) latoomutbeta -> vars); if (isnan(latoomutbeta -> lyap_exp)) { not_found = 1; } if (latoomutbeta -> lyap_exp < latoomutbeta -> lyap_lo || latoomutbeta -> lyap_exp > latoomutbeta -> lyap_hi) { not_found = 1; } not_expired--; } while(not_found && not_expired); reset(latoomutbeta, NULL, argc, vars); if (!not_expired) { post("Could not find a fractal after %d attempts.", (int) latoomutbeta -> lyap_limit); post("Try using wider constraints."); latoomutbeta -> a = temp_a; latoomutbeta -> b = temp_b; latoomutbeta -> c = temp_c; latoomutbeta -> d = temp_d; outlet_anything(latoomutbeta -> search_outlet, gensym("invalid"), 0, NULL); } else { latoomutbeta -> failure_ratio = (latoomutbeta -> lyap_limit - not_expired) / latoomutbeta -> lyap_limit; make_results(latoomutbeta); outlet_anything(latoomutbeta -> search_outlet, gensym("search"), M_search_count, latoomutbeta -> search_out); } } void *latoomutbeta_new(t_symbol *s, int argc, t_atom *argv) { latoomutbeta_struct *latoomutbeta = (latoomutbeta_struct *) pd_new(latoomutbeta_class); if (latoomutbeta != NULL) { outlet_new(&latoomutbeta -> x_obj, &s_float); latoomutbeta -> outlets[0] = outlet_new(&latoomutbeta -> x_obj, &s_float); latoomutbeta -> search_outlet = outlet_new(&latoomutbeta -> x_obj, &s_list); latoomutbeta -> vars_outlet = outlet_new(&latoomutbeta -> x_obj, &s_list); latoomutbeta -> params_outlet = outlet_new(&latoomutbeta -> x_obj, &s_list); if (argc == M_param_count + M_var_count) { latoomutbeta -> vars_init[M_x] = latoomutbeta -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv); latoomutbeta -> vars_init[M_y] = latoomutbeta -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv); latoomutbeta -> a = (double) atom_getfloatarg(2, argc, argv); latoomutbeta -> b = (double) atom_getfloatarg(3, argc, argv); latoomutbeta -> c = (double) atom_getfloatarg(4, argc, argv); latoomutbeta -> d = (double) atom_getfloatarg(5, argc, argv); } else { if (argc != 0 && argc != M_param_count + M_var_count) { post("Incorrect number of arguments for latoomutbeta fractal. Expecting 6 arguments."); } latoomutbeta -> vars_init[M_x] = 0.1; latoomutbeta -> vars_init[M_y] = 0.1; latoomutbeta -> a = 1; latoomutbeta -> b = 1; latoomutbeta -> c = 1; latoomutbeta -> d = 1; } constrain(latoomutbeta, NULL, 0, NULL); lyap(latoomutbeta, -1000000.0, 1000000.0, M_failure_limit); } return (void *)latoomutbeta; } void latoomutbeta_setup(void) { latoomutbeta_class = class_new(gensym("latoomutbeta"), (t_newmethod) latoomutbeta_new, 0, sizeof(latoomutbeta_struct), 0, A_GIMME, 0); class_addbang(latoomutbeta_class, (t_method) calculate); class_addmethod(latoomutbeta_class, (t_method) reset, gensym("reset"), A_GIMME, 0); class_addmethod(latoomutbeta_class, (t_method) show, gensym("show"), 0); class_addmethod(latoomutbeta_class, (t_method) param, gensym("param"), A_GIMME, 0); class_addmethod(latoomutbeta_class, (t_method) seed, gensym("seed"), A_GIMME, 0); class_addmethod(latoomutbeta_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0); class_addmethod(latoomutbeta_class, (t_method) elyap, gensym("elyapunov"), 0); class_addmethod(latoomutbeta_class, (t_method) search, gensym("search"), A_GIMME, 0); class_addmethod(latoomutbeta_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0); }