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-rw-r--r--tent.c247
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+/* 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 <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <time.h>
+#include "lyapunov.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);
+ class_sethelpsymbol(tent_class, gensym("help-tent.pd"));
+}
+
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