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-rw-r--r--rossler.c394
1 files changed, 302 insertions, 92 deletions
diff --git a/rossler.c b/rossler.c
index 867a9e0..38217b0 100644
--- a/rossler.c
+++ b/rossler.c
@@ -1,8 +1,6 @@
-///////////////////////////////////////////////////////////////////////////////////
-/* Rossler's Attractor PD External */
-/* Copyright Ben Bogart 2002 */
-/* This program is distributed under the terms of the GNU General Public License */
-///////////////////////////////////////////////////////////////////////////////////
+/* rossler Attractor PD External */
+/* Copyright Ben Bogart, 2002 */
+/* This program is distributed under the params of the GNU Public License */
///////////////////////////////////////////////////////////////////////////////////
/* This file is part of Chaos PD Externals. */
@@ -22,104 +20,316 @@
/* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */
///////////////////////////////////////////////////////////////////////////////////
-#include "m_pd.h"
+#include <stdio.h>
+#include <stdlib.h>
#include <math.h>
+#include <time.h>
+#include "lyapunov.h"
+
+#define M_h_lo -1000
+#define M_h_hi 1000
+#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_h 0
+#define M_a 1
+#define M_b 2
+#define M_c 3
+
+#define M_x 0
+#define M_y 1
+#define M_z 2
+
+#define M_param_count 4
+#define M_var_count 3
+#define M_search_count 3
+#define M_failure_limit 1000
+
+static char *version = "rossler v0.0, by Ben Bogart, 2002";
t_class *rossler_class;
-typedef struct rossler_struct
-{
- t_object myobj;
- double h,a,b,c,lx0,ly0,lz0;
- t_outlet *y_outlet;
- t_outlet *z_outlet;
-} rossler_struct;
-
-static void calculate(rossler_struct *x)
-{
- double lx0,ly0,lz0,lx1,ly1,lz1;
- double h,a,b,c;
-
- h = x->h;
- a = x->a;
- b = x->b;
- c = x->c;
- lx0 = x->lx0;
- ly0 = x->ly0;
- lz0 = x->lz0;
-
- lx1 = lx0 + h * (-ly0 - lz0);
- ly1 = ly0 + h * (lx0 + (a * ly0));
- lz1 = lz0 + h * (b + (lx0*lz0) - (c * lz0));;
- x->lx0 = lx1;
- x->ly0 = ly1;
- x->lz0 = lz1;
-
- outlet_float(x->myobj.ob_outlet, (t_float)lx1);
- outlet_float(x->y_outlet, (t_float)ly1);
- outlet_float(x->z_outlet, (t_float)lz1);
+typedef struct rossler_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 h, h_lo, h_hi, 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];
+} rossler_struct;
+
+static void calc(rossler_struct *rossler, double *vars) {
+ double x_0, y_0, z_0;
+ x_0 =vars[M_x]+rossler -> h*(-vars[M_y]-vars[M_z]);
+ y_0 =vars[M_y]+rossler -> h*(vars[M_x]+(rossler -> a*vars[M_y]));
+ z_0 =vars[M_z]+rossler -> h*(rossler -> b+(vars[M_x]*vars[M_z])-(rossler -> c*vars[M_z]));
+ vars[M_x] = x_0;
+ vars[M_y] = y_0;
+ vars[M_z] = z_0;
+} // end calc
+
+static void calculate(rossler_struct *rossler) {
+ calc(rossler, rossler -> vars);
+ outlet_float(rossler -> x_obj.ob_outlet, rossler -> vars[M_x]);
+ outlet_float(rossler -> outlets[M_y - 1], rossler -> vars[M_y]);
+ outlet_float(rossler -> outlets[M_z - 1], rossler -> vars[M_z]);
+} // end calculate
+
+static void reset(rossler_struct *rossler, t_symbol *s, int argc, t_atom *argv) {
+ if (argc == M_var_count) {
+ rossler -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv);
+ rossler -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv);
+ rossler -> vars[M_z] = (double) atom_getfloatarg(M_z, argc, argv);
+ } else {
+ rossler -> vars[M_x] = rossler -> vars_init[M_x];
+ rossler -> vars[M_y] = rossler -> vars_init[M_y];
+ rossler -> vars[M_z] = rossler -> vars_init[M_z];
+ } // end if
+} // end reset
+
+static char *classify(rossler_struct *rossler) {
+ static char buff[5];
+ char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
+ buff[0] = c[(int) (((rossler -> h - M_h_lo) * (1.0 / (M_h_hi - M_h_lo))) * 26)];
+ buff[1] = c[(int) (((rossler -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)];
+ buff[2] = c[(int) (((rossler -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)];
+ buff[3] = c[(int) (((rossler -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)];
+ buff[4] = '\0';
+ return buff;
}
-static void reset(rossler_struct *x, t_floatarg lx0, t_floatarg ly0, t_floatarg lz0)
-{
- x->lx0 = lx0;
- x->ly0 = ly0;
- x->lz0 = lz0;
+static void make_results(rossler_struct *rossler) {
+ SETFLOAT(&rossler -> search_out[0], rossler -> lyap_exp);
+ SETSYMBOL(&rossler -> search_out[1], gensym(classify(rossler)));
+ SETFLOAT(&rossler -> search_out[2], rossler -> failure_ratio);
+ SETFLOAT(&rossler -> vars_out[M_x], rossler -> vars[M_x]);
+ SETFLOAT(&rossler -> vars_out[M_y], rossler -> vars[M_y]);
+ SETFLOAT(&rossler -> vars_out[M_z], rossler -> vars[M_z]);
+ SETFLOAT(&rossler -> params_out[M_h], rossler -> h);
+ SETFLOAT(&rossler -> params_out[M_a], rossler -> a);
+ SETFLOAT(&rossler -> params_out[M_b], rossler -> b);
+ SETFLOAT(&rossler -> params_out[M_c], rossler -> c);
+ outlet_list(rossler -> params_outlet, gensym("list"), M_param_count, rossler -> params_out);
+ outlet_list(rossler -> vars_outlet, gensym("list"), M_var_count, rossler -> vars_out);
}
-static void param(rossler_struct *x, t_floatarg h, t_floatarg a, t_floatarg b, t_floatarg c)
-{
- x->h = (double)h;
- x->a = (double)a;
- x->b = (double)b;
- x->c = (double)c;
+static void show(rossler_struct *rossler) {
+ make_results(rossler);
+ outlet_anything(rossler -> search_outlet, gensym("show"), M_search_count, rossler -> search_out);
}
-void *rossler_new(void)
-{
- rossler_struct *x = (rossler_struct *)pd_new(rossler_class);
- x->h = 0.01;
- x->a = 0.2;
- x->b = 0.2;
- x->c = 5.7;
- x->lx0 = 0.1;
- x->ly0 = 0;
- x->lz0 = 0;
-
- outlet_new(&x->myobj, &s_float); /* Default float outlet */
- x->y_outlet = outlet_new(&x->myobj, &s_float); /* Two new Outlets */
- x->z_outlet = outlet_new(&x->myobj, &s_float);
- return (void *)x;
+static void param(rossler_struct *rossler, t_symbol *s, int argc, t_atom *argv) {
+ if (argc != 4) {
+ post("Incorrect number of arguments for rossler fractal. Expecting 4 arguments.");
+ return;
+ }
+ rossler -> h = (double) atom_getfloatarg(0, argc, argv);
+ rossler -> a = (double) atom_getfloatarg(1, argc, argv);
+ rossler -> b = (double) atom_getfloatarg(2, argc, argv);
+ rossler -> c = (double) atom_getfloatarg(3, argc, argv);
}
+static void seed(rossler_struct *rossler, 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));
+ }
+}
-void rossler_setup(void)
-{
- post("rossler");
-
- rossler_class = class_new(gensym("rossler"), /* symname is the symbolic name */
- (t_newmethod)rossler_new, /* Constructor Function */
- 0, /* Destructor Function */
- sizeof(rossler_struct), /* Size of the structure */
- CLASS_DEFAULT, /* Graphical Representation */
- 0); /* 0 Terminates Argument List */
-
- class_addbang(rossler_class, (t_method)calculate);
-
- class_addmethod(rossler_class,
- (t_method)reset,
- gensym("reset"),
- A_DEFFLOAT,
- A_DEFFLOAT,
- A_DEFFLOAT,
- 0);
-
- class_addmethod(rossler_class,
- (t_method)param,
- gensym("param"),
- A_DEFFLOAT,
- A_DEFFLOAT,
- A_DEFFLOAT,
- A_DEFFLOAT,
- 0);
+static void lyap(rossler_struct *rossler, t_floatarg l, t_floatarg h, t_floatarg lim) {
+ rossler -> lyap_lo = l;
+ rossler -> lyap_hi = h;
+ rossler -> lyap_limit = (double) ((int) lim);
}
+
+static void elyap(rossler_struct *rossler) {
+ double results[M_var_count];
+ int i;
+ if (lyapunov_full((void *) rossler, (t_gotfn) calc, M_var_count, rossler -> vars, results) != NULL) {
+ post("elyapunov:");
+ for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); }
+ }
+}
+
+static void limiter(rossler_struct *rossler) {
+ if (rossler -> h_lo < M_h_lo) { rossler -> h_lo = M_h_lo; }
+ if (rossler -> h_lo > M_h_hi) { rossler -> h_lo = M_h_hi; }
+ if (rossler -> h_hi < M_h_lo) { rossler -> h_hi = M_h_lo; }
+ if (rossler -> h_hi > M_h_hi) { rossler -> h_hi = M_h_hi; }
+ if (rossler -> a_lo < M_a_lo) { rossler -> a_lo = M_a_lo; }
+ if (rossler -> a_lo > M_a_hi) { rossler -> a_lo = M_a_hi; }
+ if (rossler -> a_hi < M_a_lo) { rossler -> a_hi = M_a_lo; }
+ if (rossler -> a_hi > M_a_hi) { rossler -> a_hi = M_a_hi; }
+ if (rossler -> b_lo < M_b_lo) { rossler -> b_lo = M_b_lo; }
+ if (rossler -> b_lo > M_b_hi) { rossler -> b_lo = M_b_hi; }
+ if (rossler -> b_hi < M_b_lo) { rossler -> b_hi = M_b_lo; }
+ if (rossler -> b_hi > M_b_hi) { rossler -> b_hi = M_b_hi; }
+ if (rossler -> c_lo < M_c_lo) { rossler -> c_lo = M_c_lo; }
+ if (rossler -> c_lo > M_c_hi) { rossler -> c_lo = M_c_hi; }
+ if (rossler -> c_hi < M_c_lo) { rossler -> c_hi = M_c_lo; }
+ if (rossler -> c_hi > M_c_hi) { rossler -> c_hi = M_c_hi; }
+}
+
+static void constrain(rossler_struct *rossler, t_symbol *s, int argc, t_atom *argv) {
+ int i;
+ t_atom *arg = argv;
+ if (argc == 0) {
+ // reset to full limits of search ranges
+ rossler -> h_lo = M_h_lo;
+ rossler -> h_hi = M_h_hi;
+ rossler -> a_lo = M_a_lo;
+ rossler -> a_hi = M_a_hi;
+ rossler -> b_lo = M_b_lo;
+ rossler -> b_hi = M_b_hi;
+ rossler -> c_lo = M_c_lo;
+ rossler -> c_hi = M_c_hi;
+ return;
+ }
+ if (argc == 1) {
+ // set the ranges based on percentage of full range
+ double percent = atom_getfloat(arg);
+ double h_spread = ((M_h_hi - M_h_lo) * percent) / 2;
+ 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;
+ rossler -> h_lo = rossler -> h - h_spread;
+ rossler -> h_hi = rossler -> h + h_spread;
+ rossler -> a_lo = rossler -> a - a_spread;
+ rossler -> a_hi = rossler -> a + a_spread;
+ rossler -> b_lo = rossler -> b - b_spread;
+ rossler -> b_hi = rossler -> b + b_spread;
+ rossler -> c_lo = rossler -> c - c_spread;
+ rossler -> c_hi = rossler -> c + c_spread;
+ limiter(rossler);
+ return;
+ }
+ if (argc != M_param_count * 2) {
+ post("Invalid number of arguments for rossler constraints, requires 8 values, got %d", argc);
+ return;
+ }
+ rossler -> h_lo = atom_getfloat(arg++);
+ rossler -> h_hi = atom_getfloat(arg++);
+ rossler -> a_lo = atom_getfloat(arg++);
+ rossler -> a_hi = atom_getfloat(arg++);
+ rossler -> b_lo = atom_getfloat(arg++);
+ rossler -> b_hi = atom_getfloat(arg++);
+ rossler -> c_lo = atom_getfloat(arg++);
+ rossler -> c_hi = atom_getfloat(arg++);
+ limiter(rossler);
+}
+
+static void search(rossler_struct *rossler, t_symbol *s, int argc, t_atom *argv) {
+ int not_found, not_expired = rossler -> lyap_limit;
+ int jump, i, iterations;
+ t_atom vars[M_var_count];
+ double temp_h = rossler -> h;
+ double temp_a = rossler -> a;
+ double temp_b = rossler -> b;
+ double temp_c = rossler -> 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], rossler -> vars_init[i]);
+ }
+ }
+ do {
+ jump = 500;
+ not_found = 0;
+ iterations = 10000;
+ bad_params:
+ rossler -> h = (drand48() * (rossler -> h_hi - rossler -> h_lo)) + rossler -> h_lo;
+ rossler -> a = (drand48() * (rossler -> a_hi - rossler -> a_lo)) + rossler -> a_lo;
+ rossler -> b = (drand48() * (rossler -> b_hi - rossler -> b_lo)) + rossler -> b_lo;
+ rossler -> c = (drand48() * (rossler -> c_hi - rossler -> c_lo)) + rossler -> c_lo;
+ // put any preliminary checks specific to this fractal to eliminate bad_params
+
+ reset(rossler, NULL, argc, vars);
+ do { calc(rossler, rossler -> vars); } while(jump--);
+ rossler -> lyap_exp = lyapunov((void *) rossler, (t_gotfn) calc, M_var_count, (double *) rossler -> vars);
+ if (isnan(rossler -> lyap_exp)) { not_found = 1; }
+ if (rossler -> lyap_exp < rossler -> lyap_lo || rossler -> lyap_exp > rossler -> lyap_hi) { not_found = 1; }
+ not_expired--;
+ } while(not_found && not_expired);
+ reset(rossler, NULL, argc, vars);
+ if (!not_expired) {
+ post("Could not find a fractal after %d attempts.", (int) rossler -> lyap_limit);
+ post("Try using wider constraints.");
+ rossler -> h = temp_h;
+ rossler -> a = temp_a;
+ rossler -> b = temp_b;
+ rossler -> c = temp_c;
+ outlet_anything(rossler -> search_outlet, gensym("invalid"), 0, NULL);
+ } else {
+ rossler -> failure_ratio = (rossler -> lyap_limit - not_expired) / rossler -> lyap_limit;
+ make_results(rossler);
+ outlet_anything(rossler -> search_outlet, gensym("search"), M_search_count, rossler -> search_out);
+ }
+}
+
+void *rossler_new(t_symbol *s, int argc, t_atom *argv) {
+ rossler_struct *rossler = (rossler_struct *) pd_new(rossler_class);
+ if (rossler != NULL) {
+ outlet_new(&rossler -> x_obj, &s_float);
+ rossler -> outlets[0] = outlet_new(&rossler -> x_obj, &s_float);
+ rossler -> outlets[1] = outlet_new(&rossler -> x_obj, &s_float);
+ rossler -> search_outlet = outlet_new(&rossler -> x_obj, &s_list);
+ rossler -> vars_outlet = outlet_new(&rossler -> x_obj, &s_list);
+ rossler -> params_outlet = outlet_new(&rossler -> x_obj, &s_list);
+ if (argc == M_param_count + M_var_count) {
+ rossler -> vars_init[M_x] = rossler -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv);
+ rossler -> vars_init[M_y] = rossler -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv);
+ rossler -> vars_init[M_z] = rossler -> vars[M_z] = (double) atom_getfloatarg(2, argc, argv);
+ rossler -> h = (double) atom_getfloatarg(3, argc, argv);
+ rossler -> a = (double) atom_getfloatarg(4, argc, argv);
+ rossler -> b = (double) atom_getfloatarg(5, argc, argv);
+ rossler -> c = (double) atom_getfloatarg(6, argc, argv);
+ } else {
+ if (argc != 0 && argc != M_param_count + M_var_count) {
+ post("Incorrect number of arguments for rossler fractal. Expecting 7 arguments.");
+ }
+ rossler -> vars_init[M_x] = 0.1;
+ rossler -> vars_init[M_y] = 0;
+ rossler -> vars_init[M_z] = 0;
+ rossler -> h = 0.01;
+ rossler -> a = 0.2;
+ rossler -> b = 0.2;
+ rossler -> c = 5.7;
+ }
+ constrain(rossler, NULL, 0, NULL);
+ lyap(rossler, -1000000.0, 1000000.0, M_failure_limit);
+ }
+ return (void *)rossler;
+}
+
+void rossler_setup(void) {
+ rossler_class = class_new(gensym("rossler"), (t_newmethod) rossler_new, 0, sizeof(rossler_struct), 0, A_GIMME, 0);
+ class_addbang(rossler_class, (t_method) calculate);
+ class_addmethod(rossler_class, (t_method) reset, gensym("reset"), A_GIMME, 0);
+ class_addmethod(rossler_class, (t_method) show, gensym("show"), 0);
+ class_addmethod(rossler_class, (t_method) param, gensym("param"), A_GIMME, 0);
+ class_addmethod(rossler_class, (t_method) seed, gensym("seed"), A_GIMME, 0);
+ class_addmethod(rossler_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0);
+ class_addmethod(rossler_class, (t_method) elyap, gensym("elyapunov"), 0);
+ class_addmethod(rossler_class, (t_method) search, gensym("search"), A_GIMME, 0);
+ class_addmethod(rossler_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0);
+ class_sethelpsymbol(rossler_class, gensym("help-rossler.pd"));
+}
+
generated by cgit v1.2.1 (git 2.18.0) at 2024-04-16 17:24:46 +0000