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+/* threeply Attractor PD External */
+/* Copyright Michael McGonagle, from ??????, 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_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_a 0
+#define M_b 1
+#define M_c 2
+
+#define M_x 0
+#define M_y 1
+
+#define M_param_count 3
+#define M_var_count 2
+#define M_search_count 3
+#define M_failure_limit 1000
+
+static char *version = "threeply v0.0, by Michael McGonagle, from ??????, 2003";
+
+t_class *threeply_class;
+
+typedef struct threeply_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;
+ 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];
+} threeply_struct;
+
+static void calc(threeply_struct *threeply, double *vars) {
+ double x_0, y_0;
+ x_0 =vars[M_y]-((vars[M_x]<0)?-1:1)*abs(sin(vars[M_x])*cos(threeply -> b)+threeply -> c-vars[M_x]*sin(threeply -> a+threeply -> b+threeply -> c));
+ y_0 =threeply -> a-vars[M_x];
+ vars[M_x] = x_0;
+ vars[M_y] = y_0;
+} // end calc
+
+static void calculate(threeply_struct *threeply) {
+ calc(threeply, threeply -> vars);
+ outlet_float(threeply -> x_obj.ob_outlet, threeply -> vars[M_x]);
+ outlet_float(threeply -> outlets[M_y - 1], threeply -> vars[M_y]);
+} // end calculate
+
+static void reset(threeply_struct *threeply, t_symbol *s, int argc, t_atom *argv) {
+ if (argc == M_var_count) {
+ threeply -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv);
+ threeply -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv);
+ } else {
+ threeply -> vars[M_x] = threeply -> vars_init[M_x];
+ threeply -> vars[M_y] = threeply -> vars_init[M_y];
+ } // end if
+} // end reset
+
+static char *classify(threeply_struct *threeply) {
+ static char buff[4];
+ char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
+ buff[0] = c[(int) (((threeply -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)];
+ buff[1] = c[(int) (((threeply -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)];
+ buff[2] = c[(int) (((threeply -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)];
+ buff[3] = '\0';
+ return buff;
+}
+
+static void make_results(threeply_struct *threeply) {
+ SETFLOAT(&threeply -> search_out[0], threeply -> lyap_exp);
+ SETSYMBOL(&threeply -> search_out[1], gensym(classify(threeply)));
+ SETFLOAT(&threeply -> search_out[2], threeply -> failure_ratio);
+ SETFLOAT(&threeply -> vars_out[M_x], threeply -> vars[M_x]);
+ SETFLOAT(&threeply -> vars_out[M_y], threeply -> vars[M_y]);
+ SETFLOAT(&threeply -> params_out[M_a], threeply -> a);
+ SETFLOAT(&threeply -> params_out[M_b], threeply -> b);
+ SETFLOAT(&threeply -> params_out[M_c], threeply -> c);
+ outlet_list(threeply -> params_outlet, gensym("list"), M_param_count, threeply -> params_out);
+ outlet_list(threeply -> vars_outlet, gensym("list"), M_var_count, threeply -> vars_out);
+}
+
+static void show(threeply_struct *threeply) {
+ make_results(threeply);
+ outlet_anything(threeply -> search_outlet, gensym("show"), M_search_count, threeply -> search_out);
+}
+
+static void param(threeply_struct *threeply, t_symbol *s, int argc, t_atom *argv) {
+ if (argc != 3) {
+ post("Incorrect number of arguments for threeply fractal. Expecting 3 arguments.");
+ return;
+ }
+ threeply -> a = (double) atom_getfloatarg(0, argc, argv);
+ threeply -> b = (double) atom_getfloatarg(1, argc, argv);
+ threeply -> c = (double) atom_getfloatarg(2, argc, argv);
+}
+
+static void seed(threeply_struct *threeply, 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(threeply_struct *threeply, t_floatarg l, t_floatarg h, t_floatarg lim) {
+ threeply -> lyap_lo = l;
+ threeply -> lyap_hi = h;
+ threeply -> lyap_limit = (double) ((int) lim);
+}
+
+static void elyap(threeply_struct *threeply) {
+ double results[M_var_count];
+ int i;
+ if (lyapunov_full((void *) threeply, (t_gotfn) calc, M_var_count, threeply -> vars, results) != NULL) {
+ post("elyapunov:");
+ for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); }
+ }
+}
+
+static void limiter(threeply_struct *threeply) {
+ if (threeply -> a_lo < M_a_lo) { threeply -> a_lo = M_a_lo; }
+ if (threeply -> a_lo > M_a_hi) { threeply -> a_lo = M_a_hi; }
+ if (threeply -> a_hi < M_a_lo) { threeply -> a_hi = M_a_lo; }
+ if (threeply -> a_hi > M_a_hi) { threeply -> a_hi = M_a_hi; }
+ if (threeply -> b_lo < M_b_lo) { threeply -> b_lo = M_b_lo; }
+ if (threeply -> b_lo > M_b_hi) { threeply -> b_lo = M_b_hi; }
+ if (threeply -> b_hi < M_b_lo) { threeply -> b_hi = M_b_lo; }
+ if (threeply -> b_hi > M_b_hi) { threeply -> b_hi = M_b_hi; }
+ if (threeply -> c_lo < M_c_lo) { threeply -> c_lo = M_c_lo; }
+ if (threeply -> c_lo > M_c_hi) { threeply -> c_lo = M_c_hi; }
+ if (threeply -> c_hi < M_c_lo) { threeply -> c_hi = M_c_lo; }
+ if (threeply -> c_hi > M_c_hi) { threeply -> c_hi = M_c_hi; }
+}
+
+static void constrain(threeply_struct *threeply, t_symbol *s, int argc, t_atom *argv) {
+ int i;
+ t_atom *arg = argv;
+ if (argc == 0) {
+ // reset to full limits of search ranges
+ threeply -> a_lo = M_a_lo;
+ threeply -> a_hi = M_a_hi;
+ threeply -> b_lo = M_b_lo;
+ threeply -> b_hi = M_b_hi;
+ threeply -> c_lo = M_c_lo;
+ threeply -> c_hi = M_c_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;
+ threeply -> a_lo = threeply -> a - a_spread;
+ threeply -> a_hi = threeply -> a + a_spread;
+ threeply -> b_lo = threeply -> b - b_spread;
+ threeply -> b_hi = threeply -> b + b_spread;
+ threeply -> c_lo = threeply -> c - c_spread;
+ threeply -> c_hi = threeply -> c + c_spread;
+ limiter(threeply);
+ return;
+ }
+ if (argc != M_param_count * 2) {
+ post("Invalid number of arguments for threeply constraints, requires 6 values, got %d", argc);
+ return;
+ }
+ threeply -> a_lo = atom_getfloat(arg++);
+ threeply -> a_hi = atom_getfloat(arg++);
+ threeply -> b_lo = atom_getfloat(arg++);
+ threeply -> b_hi = atom_getfloat(arg++);
+ threeply -> c_lo = atom_getfloat(arg++);
+ threeply -> c_hi = atom_getfloat(arg++);
+ limiter(threeply);
+}
+
+static void search(threeply_struct *threeply, t_symbol *s, int argc, t_atom *argv) {
+ int not_found, not_expired = threeply -> lyap_limit;
+ int jump, i, iterations;
+ t_atom vars[M_var_count];
+ double temp_a = threeply -> a;
+ double temp_b = threeply -> b;
+ double temp_c = threeply -> c;
+ 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], threeply -> vars_init[i]);
+ }
+ }
+ do {
+ jump = 500;
+ not_found = 0;
+ iterations = 10000;
+ bad_params:
+ threeply -> a = (drand48() * (threeply -> a_hi - threeply -> a_lo)) + threeply -> a_lo;
+ threeply -> b = (drand48() * (threeply -> b_hi - threeply -> b_lo)) + threeply -> b_lo;
+ threeply -> c = (drand48() * (threeply -> c_hi - threeply -> c_lo)) + threeply -> c_lo;
+ // put any preliminary checks specific to this fractal to eliminate bad_params
+
+ reset(threeply, NULL, argc, vars);
+ do { calc(threeply, threeply -> vars); } while(jump--);
+ threeply -> lyap_exp = lyapunov((void *) threeply, (t_gotfn) calc, M_var_count, (double *) threeply -> vars);
+ if (isnan(threeply -> lyap_exp)) { not_found = 1; }
+ if (threeply -> lyap_exp < threeply -> lyap_lo || threeply -> lyap_exp > threeply -> lyap_hi) { not_found = 1; }
+ not_expired--;
+ } while(not_found && not_expired);
+ reset(threeply, NULL, argc, vars);
+ if (!not_expired) {
+ post("Could not find a fractal after %d attempts.", (int) threeply -> lyap_limit);
+ post("Try using wider constraints.");
+ threeply -> a = temp_a;
+ threeply -> b = temp_b;
+ threeply -> c = temp_c;
+ outlet_anything(threeply -> search_outlet, gensym("invalid"), 0, NULL);
+ } else {
+ threeply -> failure_ratio = (threeply -> lyap_limit - not_expired) / threeply -> lyap_limit;
+ make_results(threeply);
+ outlet_anything(threeply -> search_outlet, gensym("search"), M_search_count, threeply -> search_out);
+ }
+}
+
+void *threeply_new(t_symbol *s, int argc, t_atom *argv) {
+ threeply_struct *threeply = (threeply_struct *) pd_new(threeply_class);
+ if (threeply != NULL) {
+ outlet_new(&threeply -> x_obj, &s_float);
+ threeply -> outlets[0] = outlet_new(&threeply -> x_obj, &s_float);
+ threeply -> search_outlet = outlet_new(&threeply -> x_obj, &s_list);
+ threeply -> vars_outlet = outlet_new(&threeply -> x_obj, &s_list);
+ threeply -> params_outlet = outlet_new(&threeply -> x_obj, &s_list);
+ if (argc == M_param_count + M_var_count) {
+ threeply -> vars_init[M_x] = threeply -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv);
+ threeply -> vars_init[M_y] = threeply -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv);
+ threeply -> a = (double) atom_getfloatarg(2, argc, argv);
+ threeply -> b = (double) atom_getfloatarg(3, argc, argv);
+ threeply -> c = (double) atom_getfloatarg(4, argc, argv);
+ } else {
+ if (argc != 0 && argc != M_param_count + M_var_count) {
+ post("Incorrect number of arguments for threeply fractal. Expecting 5 arguments.");
+ }
+ threeply -> vars_init[M_x] = 0;
+ threeply -> vars_init[M_y] = 0;
+ threeply -> a = -55;
+ threeply -> b = -1;
+ threeply -> c = -42;
+ }
+ constrain(threeply, NULL, 0, NULL);
+ lyap(threeply, -1000000.0, 1000000.0, M_failure_limit);
+ }
+ return (void *)threeply;
+}
+
+void threeply_setup(void) {
+ threeply_class = class_new(gensym("threeply"), (t_newmethod) threeply_new, 0, sizeof(threeply_struct), 0, A_GIMME, 0);
+ class_addbang(threeply_class, (t_method) calculate);
+ class_addmethod(threeply_class, (t_method) reset, gensym("reset"), A_GIMME, 0);
+ class_addmethod(threeply_class, (t_method) show, gensym("show"), 0);
+ class_addmethod(threeply_class, (t_method) param, gensym("param"), A_GIMME, 0);
+ class_addmethod(threeply_class, (t_method) seed, gensym("seed"), A_GIMME, 0);
+ class_addmethod(threeply_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0);
+ class_addmethod(threeply_class, (t_method) elyap, gensym("elyapunov"), 0);
+ class_addmethod(threeply_class, (t_method) search, gensym("search"), A_GIMME, 0);
+ class_addmethod(threeply_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0);
+ class_sethelpsymbol(threeply_class, gensym("help-threeply.pd"));
+}
+
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