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+/* lotkavolterra Attractor PD External */
+/* Copyright Michael McGonagle, 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 "chaos.h"
+
+#define M_a_lo -1000
+#define M_a_hi 1000
+#define M_b_lo -1000
+#define M_b_hi 1000
+#define M_c_lo -1000
+#define M_c_hi 1000
+#define M_e_lo -1000
+#define M_e_hi 1000
+
+#define M_a 0
+#define M_b 1
+#define M_c 2
+#define M_e 3
+
+#define M_r 0
+#define M_f 1
+
+#define M_param_count 4
+#define M_var_count 2
+#define M_search_count 3
+#define M_failure_limit 1000
+
+static char *version = "lotkavolterra v0.0, by Michael McGonagle, 2003";
+
+t_class *lotkavolterra_class;
+
+typedef struct lotkavolterra_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, e, e_lo, e_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];
+} lotkavolterra_struct;
+
+static void calc(lotkavolterra_struct *lotkavolterra, double *vars) {
+ double r_0, f_0;
+ r_0 =vars[M_r]+lotkavolterra -> a*vars[M_r]-lotkavolterra -> b*vars[M_r]*vars[M_f];
+ f_0 =vars[M_f]+lotkavolterra -> e*lotkavolterra -> b*vars[M_r]*vars[M_f]-lotkavolterra -> c*vars[M_f];
+ vars[M_r] = r_0;
+ vars[M_f] = f_0;
+} // end calc
+
+static void calculate(lotkavolterra_struct *lotkavolterra) {
+ calc(lotkavolterra, lotkavolterra -> vars);
+ outlet_float(lotkavolterra -> x_obj.ob_outlet, lotkavolterra -> vars[M_r]);
+ outlet_float(lotkavolterra -> outlets[M_f - 1], lotkavolterra -> vars[M_f]);
+} // end calculate
+
+static void reset(lotkavolterra_struct *lotkavolterra, t_symbol *s, int argc, t_atom *argv) {
+ if (argc == M_var_count) {
+ lotkavolterra -> vars[M_r] = (double) atom_getfloatarg(M_r, argc, argv);
+ lotkavolterra -> vars[M_f] = (double) atom_getfloatarg(M_f, argc, argv);
+ } else {
+ lotkavolterra -> vars[M_r] = lotkavolterra -> vars_init[M_r];
+ lotkavolterra -> vars[M_f] = lotkavolterra -> vars_init[M_f];
+ } // end if
+} // end reset
+
+static char *classify(lotkavolterra_struct *lotkavolterra) {
+ static char buff[5];
+ char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
+ buff[0] = c[(int) (((lotkavolterra -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)];
+ buff[1] = c[(int) (((lotkavolterra -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)];
+ buff[2] = c[(int) (((lotkavolterra -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)];
+ buff[3] = c[(int) (((lotkavolterra -> e - M_e_lo) * (1.0 / (M_e_hi - M_e_lo))) * 26)];
+ buff[4] = '\0';
+ return buff;
+}
+
+static void make_results(lotkavolterra_struct *lotkavolterra) {
+ SETFLOAT(&lotkavolterra -> search_out[0], lotkavolterra -> lyap_exp);
+ SETSYMBOL(&lotkavolterra -> search_out[1], gensym(classify(lotkavolterra)));
+ SETFLOAT(&lotkavolterra -> search_out[2], lotkavolterra -> failure_ratio);
+ SETFLOAT(&lotkavolterra -> vars_out[M_r], lotkavolterra -> vars[M_r]);
+ SETFLOAT(&lotkavolterra -> vars_out[M_f], lotkavolterra -> vars[M_f]);
+ SETFLOAT(&lotkavolterra -> params_out[M_a], lotkavolterra -> a);
+ SETFLOAT(&lotkavolterra -> params_out[M_b], lotkavolterra -> b);
+ SETFLOAT(&lotkavolterra -> params_out[M_c], lotkavolterra -> c);
+ SETFLOAT(&lotkavolterra -> params_out[M_e], lotkavolterra -> e);
+ outlet_list(lotkavolterra -> params_outlet, gensym("list"), M_param_count, lotkavolterra -> params_out);
+ outlet_list(lotkavolterra -> vars_outlet, gensym("list"), M_var_count, lotkavolterra -> vars_out);
+}
+
+static void show(lotkavolterra_struct *lotkavolterra) {
+ make_results(lotkavolterra);
+ outlet_anything(lotkavolterra -> search_outlet, gensym("show"), M_search_count, lotkavolterra -> search_out);
+}
+
+static void param(lotkavolterra_struct *lotkavolterra, t_symbol *s, int argc, t_atom *argv) {
+ if (argc != 4) {
+ post("Incorrect number of arguments for lotkavolterra fractal. Expecting 4 arguments.");
+ return;
+ }
+ lotkavolterra -> a = (double) atom_getfloatarg(0, argc, argv);
+ lotkavolterra -> b = (double) atom_getfloatarg(1, argc, argv);
+ lotkavolterra -> c = (double) atom_getfloatarg(2, argc, argv);
+ lotkavolterra -> e = (double) atom_getfloatarg(3, argc, argv);
+}
+
+static void seed(lotkavolterra_struct *lotkavolterra, 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(lotkavolterra_struct *lotkavolterra, t_floatarg l, t_floatarg h, t_floatarg lim) {
+ lotkavolterra -> lyap_lo = l;
+ lotkavolterra -> lyap_hi = h;
+ lotkavolterra -> lyap_limit = (double) ((int) lim);
+}
+
+static void elyap(lotkavolterra_struct *lotkavolterra) {
+ double results[M_var_count];
+ int i;
+ if (lyapunov_full((void *) lotkavolterra, (t_gotfn) calc, M_var_count, lotkavolterra -> vars, results) != NULL) {
+ post("elyapunov:");
+ for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); }
+ }
+}
+
+static void limiter(lotkavolterra_struct *lotkavolterra) {
+ if (lotkavolterra -> a_lo < M_a_lo) { lotkavolterra -> a_lo = M_a_lo; }
+ if (lotkavolterra -> a_lo > M_a_hi) { lotkavolterra -> a_lo = M_a_hi; }
+ if (lotkavolterra -> a_hi < M_a_lo) { lotkavolterra -> a_hi = M_a_lo; }
+ if (lotkavolterra -> a_hi > M_a_hi) { lotkavolterra -> a_hi = M_a_hi; }
+ if (lotkavolterra -> b_lo < M_b_lo) { lotkavolterra -> b_lo = M_b_lo; }
+ if (lotkavolterra -> b_lo > M_b_hi) { lotkavolterra -> b_lo = M_b_hi; }
+ if (lotkavolterra -> b_hi < M_b_lo) { lotkavolterra -> b_hi = M_b_lo; }
+ if (lotkavolterra -> b_hi > M_b_hi) { lotkavolterra -> b_hi = M_b_hi; }
+ if (lotkavolterra -> c_lo < M_c_lo) { lotkavolterra -> c_lo = M_c_lo; }
+ if (lotkavolterra -> c_lo > M_c_hi) { lotkavolterra -> c_lo = M_c_hi; }
+ if (lotkavolterra -> c_hi < M_c_lo) { lotkavolterra -> c_hi = M_c_lo; }
+ if (lotkavolterra -> c_hi > M_c_hi) { lotkavolterra -> c_hi = M_c_hi; }
+ if (lotkavolterra -> e_lo < M_e_lo) { lotkavolterra -> e_lo = M_e_lo; }
+ if (lotkavolterra -> e_lo > M_e_hi) { lotkavolterra -> e_lo = M_e_hi; }
+ if (lotkavolterra -> e_hi < M_e_lo) { lotkavolterra -> e_hi = M_e_lo; }
+ if (lotkavolterra -> e_hi > M_e_hi) { lotkavolterra -> e_hi = M_e_hi; }
+}
+
+static void constrain(lotkavolterra_struct *lotkavolterra, t_symbol *s, int argc, t_atom *argv) {
+ int i;
+ t_atom *arg = argv;
+ if (argc == 0) {
+ // reset to full limits of search ranges
+ lotkavolterra -> a_lo = M_a_lo;
+ lotkavolterra -> a_hi = M_a_hi;
+ lotkavolterra -> b_lo = M_b_lo;
+ lotkavolterra -> b_hi = M_b_hi;
+ lotkavolterra -> c_lo = M_c_lo;
+ lotkavolterra -> c_hi = M_c_hi;
+ lotkavolterra -> e_lo = M_e_lo;
+ lotkavolterra -> e_hi = M_e_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 e_spread = ((M_e_hi - M_e_lo) * percent) / 2;
+ lotkavolterra -> a_lo = lotkavolterra -> a - a_spread;
+ lotkavolterra -> a_hi = lotkavolterra -> a + a_spread;
+ lotkavolterra -> b_lo = lotkavolterra -> b - b_spread;
+ lotkavolterra -> b_hi = lotkavolterra -> b + b_spread;
+ lotkavolterra -> c_lo = lotkavolterra -> c - c_spread;
+ lotkavolterra -> c_hi = lotkavolterra -> c + c_spread;
+ lotkavolterra -> e_lo = lotkavolterra -> e - e_spread;
+ lotkavolterra -> e_hi = lotkavolterra -> e + e_spread;
+ limiter(lotkavolterra);
+ return;
+ }
+ if (argc != M_param_count * 2) {
+ post("Invalid number of arguments for lotkavolterra constraints, requires 8 values, got %d", argc);
+ return;
+ }
+ lotkavolterra -> a_lo = atom_getfloat(arg++);
+ lotkavolterra -> a_hi = atom_getfloat(arg++);
+ lotkavolterra -> b_lo = atom_getfloat(arg++);
+ lotkavolterra -> b_hi = atom_getfloat(arg++);
+ lotkavolterra -> c_lo = atom_getfloat(arg++);
+ lotkavolterra -> c_hi = atom_getfloat(arg++);
+ lotkavolterra -> e_lo = atom_getfloat(arg++);
+ lotkavolterra -> e_hi = atom_getfloat(arg++);
+ limiter(lotkavolterra);
+}
+
+static void search(lotkavolterra_struct *lotkavolterra, t_symbol *s, int argc, t_atom *argv) {
+ int not_found, not_expired = lotkavolterra -> lyap_limit;
+ int jump, i, iterations;
+ t_atom vars[M_var_count];
+ double temp_a = lotkavolterra -> a;
+ double temp_b = lotkavolterra -> b;
+ double temp_c = lotkavolterra -> c;
+ double temp_e = lotkavolterra -> e;
+ 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], lotkavolterra -> vars_init[i]);
+ }
+ }
+ do {
+ jump = 500;
+ not_found = 0;
+ iterations = 10000;
+ bad_params:
+ lotkavolterra -> a = (drand48() * (lotkavolterra -> a_hi - lotkavolterra -> a_lo)) + lotkavolterra -> a_lo;
+ lotkavolterra -> b = (drand48() * (lotkavolterra -> b_hi - lotkavolterra -> b_lo)) + lotkavolterra -> b_lo;
+ lotkavolterra -> c = (drand48() * (lotkavolterra -> c_hi - lotkavolterra -> c_lo)) + lotkavolterra -> c_lo;
+ lotkavolterra -> e = (drand48() * (lotkavolterra -> e_hi - lotkavolterra -> e_lo)) + lotkavolterra -> e_lo;
+ // put any preliminary checks specific to this fractal to eliminate bad_params
+
+ reset(lotkavolterra, NULL, argc, vars);
+ do { calc(lotkavolterra, lotkavolterra -> vars); } while(jump--);
+ lotkavolterra -> lyap_exp = lyapunov((void *) lotkavolterra, (t_gotfn) calc, M_var_count, (double *) lotkavolterra -> vars);
+ if (isnan(lotkavolterra -> lyap_exp)) { not_found = 1; }
+ if (lotkavolterra -> lyap_exp < lotkavolterra -> lyap_lo || lotkavolterra -> lyap_exp > lotkavolterra -> lyap_hi) { not_found = 1; }
+ not_expired--;
+ } while(not_found && not_expired);
+ reset(lotkavolterra, NULL, argc, vars);
+ if (!not_expired) {
+ post("Could not find a fractal after %d attempts.", (int) lotkavolterra -> lyap_limit);
+ post("Try using wider constraints.");
+ lotkavolterra -> a = temp_a;
+ lotkavolterra -> b = temp_b;
+ lotkavolterra -> c = temp_c;
+ lotkavolterra -> e = temp_e;
+ outlet_anything(lotkavolterra -> search_outlet, gensym("invalid"), 0, NULL);
+ } else {
+ lotkavolterra -> failure_ratio = (lotkavolterra -> lyap_limit - not_expired) / lotkavolterra -> lyap_limit;
+ make_results(lotkavolterra);
+ outlet_anything(lotkavolterra -> search_outlet, gensym("search"), M_search_count, lotkavolterra -> search_out);
+ }
+}
+
+void *lotkavolterra_new(t_symbol *s, int argc, t_atom *argv) {
+ lotkavolterra_struct *lotkavolterra = (lotkavolterra_struct *) pd_new(lotkavolterra_class);
+ if (lotkavolterra != NULL) {
+ outlet_new(&lotkavolterra -> x_obj, &s_float);
+ lotkavolterra -> outlets[0] = outlet_new(&lotkavolterra -> x_obj, &s_float);
+ lotkavolterra -> search_outlet = outlet_new(&lotkavolterra -> x_obj, &s_list);
+ lotkavolterra -> vars_outlet = outlet_new(&lotkavolterra -> x_obj, &s_list);
+ lotkavolterra -> params_outlet = outlet_new(&lotkavolterra -> x_obj, &s_list);
+ if (argc == M_param_count + M_var_count) {
+ lotkavolterra -> vars_init[M_r] = lotkavolterra -> vars[M_r] = (double) atom_getfloatarg(0, argc, argv);
+ lotkavolterra -> vars_init[M_f] = lotkavolterra -> vars[M_f] = (double) atom_getfloatarg(1, argc, argv);
+ lotkavolterra -> a = (double) atom_getfloatarg(2, argc, argv);
+ lotkavolterra -> b = (double) atom_getfloatarg(3, argc, argv);
+ lotkavolterra -> c = (double) atom_getfloatarg(4, argc, argv);
+ lotkavolterra -> e = (double) atom_getfloatarg(5, argc, argv);
+ } else {
+ if (argc != 0 && argc != M_param_count + M_var_count) {
+ post("Incorrect number of arguments for lotkavolterra fractal. Expecting 6 arguments.");
+ }
+ lotkavolterra -> vars_init[M_r] = 0.1;
+ lotkavolterra -> vars_init[M_f] = 0.1;
+ lotkavolterra -> a = 0.04;
+ lotkavolterra -> b = 0.0005;
+ lotkavolterra -> c = 0.2;
+ lotkavolterra -> e = 0.1;
+ }
+ constrain(lotkavolterra, NULL, 0, NULL);
+ lyap(lotkavolterra, -1000000.0, 1000000.0, M_failure_limit);
+ }
+ return (void *)lotkavolterra;
+}
+
+void lotkavolterra_setup(void) {
+ lotkavolterra_class = class_new(gensym("lotkavolterra"), (t_newmethod) lotkavolterra_new, 0, sizeof(lotkavolterra_struct), 0, A_GIMME, 0);
+ class_addbang(lotkavolterra_class, (t_method) calculate);
+ class_addmethod(lotkavolterra_class, (t_method) reset, gensym("reset"), A_GIMME, 0);
+ class_addmethod(lotkavolterra_class, (t_method) show, gensym("show"), 0);
+ class_addmethod(lotkavolterra_class, (t_method) param, gensym("param"), A_GIMME, 0);
+ class_addmethod(lotkavolterra_class, (t_method) seed, gensym("seed"), A_GIMME, 0);
+ class_addmethod(lotkavolterra_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0);
+ class_addmethod(lotkavolterra_class, (t_method) elyap, gensym("elyapunov"), 0);
+ class_addmethod(lotkavolterra_class, (t_method) search, gensym("search"), A_GIMME, 0);
+ class_addmethod(lotkavolterra_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0);
+
+
+}
+