From 705f8dee50e2073a3aba60b03e5c9b86672abd4c Mon Sep 17 00:00:00 2001 From: "B. Bogart" Date: Tue, 30 Sep 2003 16:04:40 +0000 Subject: Opps - forgot to add the files that did not exist in chaosI! svn path=/trunk/externals/bbogart/chaos/; revision=1052 --- three_d.c | 357 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 357 insertions(+) create mode 100644 three_d.c (limited to 'three_d.c') diff --git a/three_d.c b/three_d.c new file mode 100644 index 0000000..3ba4e7f --- /dev/null +++ b/three_d.c @@ -0,0 +1,357 @@ +/* three_d 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 +#include +#include +#include +#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_d_lo -1000 +#define M_d_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_d 3 +#define M_e 4 + +#define M_x 0 +#define M_y 1 +#define M_z 2 + +#define M_param_count 5 +#define M_var_count 3 +#define M_search_count 3 +#define M_failure_limit 1000 + +static char *version = "three_d v0.0, by Michael McGonagle, from Cliff Pickover, 2003"; + +t_class *three_d_class; + +typedef struct three_d_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, d, d_lo, d_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]; +} three_d_struct; + +static void calc(three_d_struct *three_d, double *vars) { + double x_0, y_0, z_0; + x_0 =sin(three_d -> a*vars[M_y])-vars[M_z]*cos(three_d -> b*vars[M_x]); + y_0 =vars[M_z]*sin(three_d -> c*vars[M_x])-cos(three_d -> d*vars[M_y]); + z_0 =three_d -> e*sin(vars[M_x]); + vars[M_x] = x_0; + vars[M_y] = y_0; + vars[M_z] = z_0; +} // end calc + +static void calculate(three_d_struct *three_d) { + calc(three_d, three_d -> vars); + outlet_float(three_d -> x_obj.ob_outlet, three_d -> vars[M_x]); + outlet_float(three_d -> outlets[M_y - 1], three_d -> vars[M_y]); + outlet_float(three_d -> outlets[M_z - 1], three_d -> vars[M_z]); +} // end calculate + +static void reset(three_d_struct *three_d, t_symbol *s, int argc, t_atom *argv) { + if (argc == M_var_count) { + three_d -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv); + three_d -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv); + three_d -> vars[M_z] = (double) atom_getfloatarg(M_z, argc, argv); + } else { + three_d -> vars[M_x] = three_d -> vars_init[M_x]; + three_d -> vars[M_y] = three_d -> vars_init[M_y]; + three_d -> vars[M_z] = three_d -> vars_init[M_z]; + } // end if +} // end reset + +static char *classify(three_d_struct *three_d) { + static char buff[6]; + char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + buff[0] = c[(int) (((three_d -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)]; + buff[1] = c[(int) (((three_d -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)]; + buff[2] = c[(int) (((three_d -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)]; + buff[3] = c[(int) (((three_d -> d - M_d_lo) * (1.0 / (M_d_hi - M_d_lo))) * 26)]; + buff[4] = c[(int) (((three_d -> e - M_e_lo) * (1.0 / (M_e_hi - M_e_lo))) * 26)]; + buff[5] = '\0'; + return buff; +} + +static void make_results(three_d_struct *three_d) { + SETFLOAT(&three_d -> search_out[0], three_d -> lyap_exp); + SETSYMBOL(&three_d -> search_out[1], gensym(classify(three_d))); + SETFLOAT(&three_d -> search_out[2], three_d -> failure_ratio); + SETFLOAT(&three_d -> vars_out[M_x], three_d -> vars[M_x]); + SETFLOAT(&three_d -> vars_out[M_y], three_d -> vars[M_y]); + SETFLOAT(&three_d -> vars_out[M_z], three_d -> vars[M_z]); + SETFLOAT(&three_d -> params_out[M_a], three_d -> a); + SETFLOAT(&three_d -> params_out[M_b], three_d -> b); + SETFLOAT(&three_d -> params_out[M_c], three_d -> c); + SETFLOAT(&three_d -> params_out[M_d], three_d -> d); + SETFLOAT(&three_d -> params_out[M_e], three_d -> e); + outlet_list(three_d -> params_outlet, gensym("list"), M_param_count, three_d -> params_out); + outlet_list(three_d -> vars_outlet, gensym("list"), M_var_count, three_d -> vars_out); +} + +static void show(three_d_struct *three_d) { + make_results(three_d); + outlet_anything(three_d -> search_outlet, gensym("show"), M_search_count, three_d -> search_out); +} + +static void param(three_d_struct *three_d, t_symbol *s, int argc, t_atom *argv) { + if (argc != 5) { + post("Incorrect number of arguments for three_d fractal. Expecting 5 arguments."); + return; + } + three_d -> a = (double) atom_getfloatarg(0, argc, argv); + three_d -> b = (double) atom_getfloatarg(1, argc, argv); + three_d -> c = (double) atom_getfloatarg(2, argc, argv); + three_d -> d = (double) atom_getfloatarg(3, argc, argv); + three_d -> e = (double) atom_getfloatarg(4, argc, argv); +} + +static void seed(three_d_struct *three_d, 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(three_d_struct *three_d, t_floatarg l, t_floatarg h, t_floatarg lim) { + three_d -> lyap_lo = l; + three_d -> lyap_hi = h; + three_d -> lyap_limit = (double) ((int) lim); +} + +static void elyap(three_d_struct *three_d) { + double results[M_var_count]; + int i; + if (lyapunov_full((void *) three_d, (t_gotfn) calc, M_var_count, three_d -> vars, results) != NULL) { + post("elyapunov:"); + for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); } + } +} + +static void limiter(three_d_struct *three_d) { + if (three_d -> a_lo < M_a_lo) { three_d -> a_lo = M_a_lo; } + if (three_d -> a_lo > M_a_hi) { three_d -> a_lo = M_a_hi; } + if (three_d -> a_hi < M_a_lo) { three_d -> a_hi = M_a_lo; } + if (three_d -> a_hi > M_a_hi) { three_d -> a_hi = M_a_hi; } + if (three_d -> b_lo < M_b_lo) { three_d -> b_lo = M_b_lo; } + if (three_d -> b_lo > M_b_hi) { three_d -> b_lo = M_b_hi; } + if (three_d -> b_hi < M_b_lo) { three_d -> b_hi = M_b_lo; } + if (three_d -> b_hi > M_b_hi) { three_d -> b_hi = M_b_hi; } + if (three_d -> c_lo < M_c_lo) { three_d -> c_lo = M_c_lo; } + if (three_d -> c_lo > M_c_hi) { three_d -> c_lo = M_c_hi; } + if (three_d -> c_hi < M_c_lo) { three_d -> c_hi = M_c_lo; } + if (three_d -> c_hi > M_c_hi) { three_d -> c_hi = M_c_hi; } + if (three_d -> d_lo < M_d_lo) { three_d -> d_lo = M_d_lo; } + if (three_d -> d_lo > M_d_hi) { three_d -> d_lo = M_d_hi; } + if (three_d -> d_hi < M_d_lo) { three_d -> d_hi = M_d_lo; } + if (three_d -> d_hi > M_d_hi) { three_d -> d_hi = M_d_hi; } + if (three_d -> e_lo < M_e_lo) { three_d -> e_lo = M_e_lo; } + if (three_d -> e_lo > M_e_hi) { three_d -> e_lo = M_e_hi; } + if (three_d -> e_hi < M_e_lo) { three_d -> e_hi = M_e_lo; } + if (three_d -> e_hi > M_e_hi) { three_d -> e_hi = M_e_hi; } +} + +static void constrain(three_d_struct *three_d, t_symbol *s, int argc, t_atom *argv) { + int i; + t_atom *arg = argv; + if (argc == 0) { + // reset to full limits of search ranges + three_d -> a_lo = M_a_lo; + three_d -> a_hi = M_a_hi; + three_d -> b_lo = M_b_lo; + three_d -> b_hi = M_b_hi; + three_d -> c_lo = M_c_lo; + three_d -> c_hi = M_c_hi; + three_d -> d_lo = M_d_lo; + three_d -> d_hi = M_d_hi; + three_d -> e_lo = M_e_lo; + three_d -> 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 d_spread = ((M_d_hi - M_d_lo) * percent) / 2; + double e_spread = ((M_e_hi - M_e_lo) * percent) / 2; + three_d -> a_lo = three_d -> a - a_spread; + three_d -> a_hi = three_d -> a + a_spread; + three_d -> b_lo = three_d -> b - b_spread; + three_d -> b_hi = three_d -> b + b_spread; + three_d -> c_lo = three_d -> c - c_spread; + three_d -> c_hi = three_d -> c + c_spread; + three_d -> d_lo = three_d -> d - d_spread; + three_d -> d_hi = three_d -> d + d_spread; + three_d -> e_lo = three_d -> e - e_spread; + three_d -> e_hi = three_d -> e + e_spread; + limiter(three_d); + return; + } + if (argc != M_param_count * 2) { + post("Invalid number of arguments for three_d constraints, requires 10 values, got %d", argc); + return; + } + three_d -> a_lo = atom_getfloat(arg++); + three_d -> a_hi = atom_getfloat(arg++); + three_d -> b_lo = atom_getfloat(arg++); + three_d -> b_hi = atom_getfloat(arg++); + three_d -> c_lo = atom_getfloat(arg++); + three_d -> c_hi = atom_getfloat(arg++); + three_d -> d_lo = atom_getfloat(arg++); + three_d -> d_hi = atom_getfloat(arg++); + three_d -> e_lo = atom_getfloat(arg++); + three_d -> e_hi = atom_getfloat(arg++); + limiter(three_d); +} + +static void search(three_d_struct *three_d, t_symbol *s, int argc, t_atom *argv) { + int not_found, not_expired = three_d -> lyap_limit; + int jump, i, iterations; + t_atom vars[M_var_count]; + double temp_a = three_d -> a; + double temp_b = three_d -> b; + double temp_c = three_d -> c; + double temp_d = three_d -> d; + double temp_e = three_d -> 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], three_d -> vars_init[i]); + } + } + do { + jump = 500; + not_found = 0; + iterations = 10000; + bad_params: + three_d -> a = (drand48() * (three_d -> a_hi - three_d -> a_lo)) + three_d -> a_lo; + three_d -> b = (drand48() * (three_d -> b_hi - three_d -> b_lo)) + three_d -> b_lo; + three_d -> c = (drand48() * (three_d -> c_hi - three_d -> c_lo)) + three_d -> c_lo; + three_d -> d = (drand48() * (three_d -> d_hi - three_d -> d_lo)) + three_d -> d_lo; + three_d -> e = (drand48() * (three_d -> e_hi - three_d -> e_lo)) + three_d -> e_lo; + // put any preliminary checks specific to this fractal to eliminate bad_params + + reset(three_d, NULL, argc, vars); + do { calc(three_d, three_d -> vars); } while(jump--); + three_d -> lyap_exp = lyapunov((void *) three_d, (t_gotfn) calc, M_var_count, (double *) three_d -> vars); + if (isnan(three_d -> lyap_exp)) { not_found = 1; } + if (three_d -> lyap_exp < three_d -> lyap_lo || three_d -> lyap_exp > three_d -> lyap_hi) { not_found = 1; } + not_expired--; + } while(not_found && not_expired); + reset(three_d, NULL, argc, vars); + if (!not_expired) { + post("Could not find a fractal after %d attempts.", (int) three_d -> lyap_limit); + post("Try using wider constraints."); + three_d -> a = temp_a; + three_d -> b = temp_b; + three_d -> c = temp_c; + three_d -> d = temp_d; + three_d -> e = temp_e; + outlet_anything(three_d -> search_outlet, gensym("invalid"), 0, NULL); + } else { + three_d -> failure_ratio = (three_d -> lyap_limit - not_expired) / three_d -> lyap_limit; + make_results(three_d); + outlet_anything(three_d -> search_outlet, gensym("search"), M_search_count, three_d -> search_out); + } +} + +void *three_d_new(t_symbol *s, int argc, t_atom *argv) { + three_d_struct *three_d = (three_d_struct *) pd_new(three_d_class); + if (three_d != NULL) { + outlet_new(&three_d -> x_obj, &s_float); + three_d -> outlets[0] = outlet_new(&three_d -> x_obj, &s_float); + three_d -> outlets[1] = outlet_new(&three_d -> x_obj, &s_float); + three_d -> search_outlet = outlet_new(&three_d -> x_obj, &s_list); + three_d -> vars_outlet = outlet_new(&three_d -> x_obj, &s_list); + three_d -> params_outlet = outlet_new(&three_d -> x_obj, &s_list); + if (argc == M_param_count + M_var_count) { + three_d -> vars_init[M_x] = three_d -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv); + three_d -> vars_init[M_y] = three_d -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv); + three_d -> vars_init[M_z] = three_d -> vars[M_z] = (double) atom_getfloatarg(2, argc, argv); + three_d -> a = (double) atom_getfloatarg(3, argc, argv); + three_d -> b = (double) atom_getfloatarg(4, argc, argv); + three_d -> c = (double) atom_getfloatarg(5, argc, argv); + three_d -> d = (double) atom_getfloatarg(6, argc, argv); + three_d -> e = (double) atom_getfloatarg(7, argc, argv); + } else { + if (argc != 0 && argc != M_param_count + M_var_count) { + post("Incorrect number of arguments for three_d fractal. Expecting 8 arguments."); + } + three_d -> vars_init[M_x] = 0; + three_d -> vars_init[M_y] = 0; + three_d -> vars_init[M_z] = 0; + three_d -> a = 2.24; + three_d -> b = 0.43; + three_d -> c = -0.65; + three_d -> d = -2.43; + three_d -> e = 1; + } + constrain(three_d, NULL, 0, NULL); + lyap(three_d, -1000000.0, 1000000.0, M_failure_limit); + } + return (void *)three_d; +} + +void three_d_setup(void) { + three_d_class = class_new(gensym("three_d"), (t_newmethod) three_d_new, 0, sizeof(three_d_struct), 0, A_GIMME, 0); + class_addbang(three_d_class, (t_method) calculate); + class_addmethod(three_d_class, (t_method) reset, gensym("reset"), A_GIMME, 0); + class_addmethod(three_d_class, (t_method) show, gensym("show"), 0); + class_addmethod(three_d_class, (t_method) param, gensym("param"), A_GIMME, 0); + class_addmethod(three_d_class, (t_method) seed, gensym("seed"), A_GIMME, 0); + class_addmethod(three_d_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0); + class_addmethod(three_d_class, (t_method) elyap, gensym("elyapunov"), 0); + class_addmethod(three_d_class, (t_method) search, gensym("search"), A_GIMME, 0); + class_addmethod(three_d_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0); + class_sethelpsymbol(three_d_class, gensym("help-three_d.pd")); +} + -- cgit v1.2.1