1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
|
/* lorenz 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. */
/* */
/* 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_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 = "lorenz v0.0, by Ben Bogart, 2002";
t_class *lorenz_class;
typedef struct lorenz_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];
} lorenz_struct;
static void calc(lorenz_struct *lorenz, double *vars) {
double x_0, y_0, z_0;
x_0 =vars[M_x]+lorenz -> h*lorenz -> a*(vars[M_y]-vars[M_x]);
y_0 =vars[M_y]+lorenz -> h*(vars[M_x]*(lorenz -> b-vars[M_z])-vars[M_y]);
z_0 =vars[M_z]+lorenz -> h*(vars[M_x]*vars[M_y]-lorenz -> c*vars[M_z]);
vars[M_x] = x_0;
vars[M_y] = y_0;
vars[M_z] = z_0;
} // end calc
static void calculate(lorenz_struct *lorenz) {
calc(lorenz, lorenz -> vars);
outlet_float(lorenz -> outlets[M_z - 1], lorenz -> vars[M_z]);
outlet_float(lorenz -> outlets[M_y - 1], lorenz -> vars[M_y]);
outlet_float(lorenz -> x_obj.ob_outlet, lorenz -> vars[M_x]);
} // end calculate
static void reset(lorenz_struct *lorenz, t_symbol *s, int argc, t_atom *argv) {
if (argc == M_var_count) {
lorenz -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv);
lorenz -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv);
lorenz -> vars[M_z] = (double) atom_getfloatarg(M_z, argc, argv);
} else {
lorenz -> vars[M_x] = lorenz -> vars_init[M_x];
lorenz -> vars[M_y] = lorenz -> vars_init[M_y];
lorenz -> vars[M_z] = lorenz -> vars_init[M_z];
} // end if
} // end reset
static char *classify(lorenz_struct *lorenz) {
static char buff[5];
char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
buff[0] = c[(int) (((lorenz -> h - M_h_lo) * (1.0 / (M_h_hi - M_h_lo))) * 26)];
buff[1] = c[(int) (((lorenz -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)];
buff[2] = c[(int) (((lorenz -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)];
buff[3] = c[(int) (((lorenz -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)];
buff[4] = '\0';
return buff;
}
static void make_results(lorenz_struct *lorenz) {
SETFLOAT(&lorenz -> search_out[0], lorenz -> lyap_exp);
SETSYMBOL(&lorenz -> search_out[1], gensym(classify(lorenz)));
SETFLOAT(&lorenz -> search_out[2], lorenz -> failure_ratio);
SETFLOAT(&lorenz -> vars_out[M_x], lorenz -> vars[M_x]);
SETFLOAT(&lorenz -> vars_out[M_y], lorenz -> vars[M_y]);
SETFLOAT(&lorenz -> vars_out[M_z], lorenz -> vars[M_z]);
SETFLOAT(&lorenz -> params_out[M_h], lorenz -> h);
SETFLOAT(&lorenz -> params_out[M_a], lorenz -> a);
SETFLOAT(&lorenz -> params_out[M_b], lorenz -> b);
SETFLOAT(&lorenz -> params_out[M_c], lorenz -> c);
outlet_list(lorenz -> params_outlet, gensym("list"), M_param_count, lorenz -> params_out);
outlet_list(lorenz -> vars_outlet, gensym("list"), M_var_count, lorenz -> vars_out);
}
static void show(lorenz_struct *lorenz) {
make_results(lorenz);
outlet_anything(lorenz -> search_outlet, gensym("show"), M_search_count, lorenz -> search_out);
}
static void param(lorenz_struct *lorenz, t_symbol *s, int argc, t_atom *argv) {
if (argc != 4) {
post("Incorrect number of arguments for lorenz fractal. Expecting 4 arguments.");
return;
}
lorenz -> h = (double) atom_getfloatarg(0, argc, argv);
lorenz -> a = (double) atom_getfloatarg(1, argc, argv);
lorenz -> b = (double) atom_getfloatarg(2, argc, argv);
lorenz -> c = (double) atom_getfloatarg(3, argc, argv);
}
static void seed(lorenz_struct *lorenz, 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(lorenz_struct *lorenz, t_floatarg l, t_floatarg h, t_floatarg lim) {
lorenz -> lyap_lo = l;
lorenz -> lyap_hi = h;
lorenz -> lyap_limit = (double) ((int) lim);
}
static void elyap(lorenz_struct *lorenz) {
double results[M_var_count];
int i;
if (lyapunov_full((void *) lorenz, (t_gotfn) calc, M_var_count, lorenz -> vars, results) != NULL) {
post("elyapunov:");
for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); }
}
}
static void limiter(lorenz_struct *lorenz) {
if (lorenz -> h_lo < M_h_lo) { lorenz -> h_lo = M_h_lo; }
if (lorenz -> h_lo > M_h_hi) { lorenz -> h_lo = M_h_hi; }
if (lorenz -> h_hi < M_h_lo) { lorenz -> h_hi = M_h_lo; }
if (lorenz -> h_hi > M_h_hi) { lorenz -> h_hi = M_h_hi; }
if (lorenz -> a_lo < M_a_lo) { lorenz -> a_lo = M_a_lo; }
if (lorenz -> a_lo > M_a_hi) { lorenz -> a_lo = M_a_hi; }
if (lorenz -> a_hi < M_a_lo) { lorenz -> a_hi = M_a_lo; }
if (lorenz -> a_hi > M_a_hi) { lorenz -> a_hi = M_a_hi; }
if (lorenz -> b_lo < M_b_lo) { lorenz -> b_lo = M_b_lo; }
if (lorenz -> b_lo > M_b_hi) { lorenz -> b_lo = M_b_hi; }
if (lorenz -> b_hi < M_b_lo) { lorenz -> b_hi = M_b_lo; }
if (lorenz -> b_hi > M_b_hi) { lorenz -> b_hi = M_b_hi; }
if (lorenz -> c_lo < M_c_lo) { lorenz -> c_lo = M_c_lo; }
if (lorenz -> c_lo > M_c_hi) { lorenz -> c_lo = M_c_hi; }
if (lorenz -> c_hi < M_c_lo) { lorenz -> c_hi = M_c_lo; }
if (lorenz -> c_hi > M_c_hi) { lorenz -> c_hi = M_c_hi; }
}
static void constrain(lorenz_struct *lorenz, t_symbol *s, int argc, t_atom *argv) {
int i;
t_atom *arg = argv;
if (argc == 0) {
// reset to full limits of search ranges
lorenz -> h_lo = M_h_lo;
lorenz -> h_hi = M_h_hi;
lorenz -> a_lo = M_a_lo;
lorenz -> a_hi = M_a_hi;
lorenz -> b_lo = M_b_lo;
lorenz -> b_hi = M_b_hi;
lorenz -> c_lo = M_c_lo;
lorenz -> 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;
lorenz -> h_lo = lorenz -> h - h_spread;
lorenz -> h_hi = lorenz -> h + h_spread;
lorenz -> a_lo = lorenz -> a - a_spread;
lorenz -> a_hi = lorenz -> a + a_spread;
lorenz -> b_lo = lorenz -> b - b_spread;
lorenz -> b_hi = lorenz -> b + b_spread;
lorenz -> c_lo = lorenz -> c - c_spread;
lorenz -> c_hi = lorenz -> c + c_spread;
limiter(lorenz);
return;
}
if (argc != M_param_count * 2) {
post("Invalid number of arguments for lorenz constraints, requires 8 values, got %d", argc);
return;
}
lorenz -> h_lo = atom_getfloat(arg++);
lorenz -> h_hi = atom_getfloat(arg++);
lorenz -> a_lo = atom_getfloat(arg++);
lorenz -> a_hi = atom_getfloat(arg++);
lorenz -> b_lo = atom_getfloat(arg++);
lorenz -> b_hi = atom_getfloat(arg++);
lorenz -> c_lo = atom_getfloat(arg++);
lorenz -> c_hi = atom_getfloat(arg++);
limiter(lorenz);
}
static void search(lorenz_struct *lorenz, t_symbol *s, int argc, t_atom *argv) {
int not_found, not_expired = lorenz -> lyap_limit;
int jump, i, iterations;
t_atom vars[M_var_count];
double temp_h = lorenz -> h;
double temp_a = lorenz -> a;
double temp_b = lorenz -> b;
double temp_c = lorenz -> 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], lorenz -> vars_init[i]);
}
}
do {
jump = 500;
not_found = 0;
iterations = 10000;
bad_params:
lorenz -> h = (drand48() * (lorenz -> h_hi - lorenz -> h_lo)) + lorenz -> h_lo;
lorenz -> a = (drand48() * (lorenz -> a_hi - lorenz -> a_lo)) + lorenz -> a_lo;
lorenz -> b = (drand48() * (lorenz -> b_hi - lorenz -> b_lo)) + lorenz -> b_lo;
lorenz -> c = (drand48() * (lorenz -> c_hi - lorenz -> c_lo)) + lorenz -> c_lo;
// put any preliminary checks specific to this fractal to eliminate bad_params
reset(lorenz, NULL, argc, vars);
do { calc(lorenz, lorenz -> vars); } while(jump--);
lorenz -> lyap_exp = lyapunov((void *) lorenz, (t_gotfn) calc, M_var_count, (double *) lorenz -> vars);
if (isnan(lorenz -> lyap_exp)) { not_found = 1; }
if (lorenz -> lyap_exp < lorenz -> lyap_lo || lorenz -> lyap_exp > lorenz -> lyap_hi) { not_found = 1; }
not_expired--;
} while(not_found && not_expired);
reset(lorenz, NULL, argc, vars);
if (!not_expired) {
post("Could not find a fractal after %d attempts.", (int) lorenz -> lyap_limit);
post("Try using wider constraints.");
lorenz -> h = temp_h;
lorenz -> a = temp_a;
lorenz -> b = temp_b;
lorenz -> c = temp_c;
outlet_anything(lorenz -> search_outlet, gensym("invalid"), 0, NULL);
} else {
lorenz -> failure_ratio = (lorenz -> lyap_limit - not_expired) / lorenz -> lyap_limit;
make_results(lorenz);
outlet_anything(lorenz -> search_outlet, gensym("search"), M_search_count, lorenz -> search_out);
}
}
void *lorenz_new(t_symbol *s, int argc, t_atom *argv) {
lorenz_struct *lorenz = (lorenz_struct *) pd_new(lorenz_class);
if (lorenz != NULL) {
outlet_new(&lorenz -> x_obj, &s_float);
lorenz -> outlets[0] = outlet_new(&lorenz -> x_obj, &s_float);
lorenz -> outlets[1] = outlet_new(&lorenz -> x_obj, &s_float);
lorenz -> search_outlet = outlet_new(&lorenz -> x_obj, &s_list);
lorenz -> vars_outlet = outlet_new(&lorenz -> x_obj, &s_list);
lorenz -> params_outlet = outlet_new(&lorenz -> x_obj, &s_list);
if (argc == M_param_count + M_var_count) {
lorenz -> vars_init[M_x] = lorenz -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv);
lorenz -> vars_init[M_y] = lorenz -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv);
lorenz -> vars_init[M_z] = lorenz -> vars[M_z] = (double) atom_getfloatarg(2, argc, argv);
lorenz -> h = (double) atom_getfloatarg(3, argc, argv);
lorenz -> a = (double) atom_getfloatarg(4, argc, argv);
lorenz -> b = (double) atom_getfloatarg(5, argc, argv);
lorenz -> c = (double) atom_getfloatarg(6, argc, argv);
} else {
if (argc != 0 && argc != M_param_count + M_var_count) {
post("Incorrect number of arguments for lorenz fractal. Expecting 7 arguments.");
}
lorenz -> vars_init[M_x] = 0.1;
lorenz -> vars_init[M_y] = 0;
lorenz -> vars_init[M_z] = 0;
lorenz -> h = 0.01;
lorenz -> a = 10;
lorenz -> b = 28;
lorenz -> c = 2.66667;
}
constrain(lorenz, NULL, 0, NULL);
lyap(lorenz, -1000000.0, 1000000.0, M_failure_limit);
}
return (void *)lorenz;
}
void lorenz_setup(void) {
lorenz_class = class_new(gensym("lorenz"), (t_newmethod) lorenz_new, 0, sizeof(lorenz_struct), 0, A_GIMME, 0);
class_addbang(lorenz_class, (t_method) calculate);
class_addmethod(lorenz_class, (t_method) reset, gensym("reset"), A_GIMME, 0);
class_addmethod(lorenz_class, (t_method) show, gensym("show"), 0);
class_addmethod(lorenz_class, (t_method) param, gensym("param"), A_GIMME, 0);
class_addmethod(lorenz_class, (t_method) seed, gensym("seed"), A_GIMME, 0);
class_addmethod(lorenz_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0);
class_addmethod(lorenz_class, (t_method) elyap, gensym("elyapunov"), 0);
class_addmethod(lorenz_class, (t_method) search, gensym("search"), A_GIMME, 0);
class_addmethod(lorenz_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0);
}
|