diff options
Diffstat (limited to 'ikeda.c')
| -rw-r--r-- | ikeda.c | 383 |
1 files changed, 294 insertions, 89 deletions
@@ -1,8 +1,6 @@ -/////////////////////////////////////////////////////////////////////////////////// -/* Ikeda Attractor PD External */ -/* Copyright Ben Bogart 2002 */ -/* This program is distributed under the terms of the GNU General Public License */ -/////////////////////////////////////////////////////////////////////////////////// +/* ikeda 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. */ @@ -22,102 +20,309 @@ /* 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_a_lo -350 +#define M_a_hi 350 +#define M_b_lo -2 +#define M_b_hi 2 +#define M_c_lo -350 +#define M_c_hi 350 +#define M_rho_lo -250 +#define M_rho_hi 250 + +#define M_a 0 +#define M_b 1 +#define M_c 2 +#define M_rho 3 +#define M_x 0 +#define M_y 1 + +#define M_param_count 4 +#define M_var_count 2 +#define M_search_count 3 +#define M_failure_limit 1000 + +static char *version = "ikeda v0.0, by Ben Bogart, 2002"; t_class *ikeda_class; -typedef struct ikeda_struct -{ - t_object ikeda_obj; - double a, b, c, rho, lx0, ly0; - t_outlet *y_outlet; -} ikeda_struct; - -static void calculate(ikeda_struct *x) -{ - double lx0, ly0, lx1, ly1; - double a, b, c, rho, tmp, cos_tmp, sin_tmp; - - a = x->a; - b = x->b; - c = x->c; - rho = x->rho; - lx0 = x->lx0; - ly0 = x->ly0; - - - tmp = a - c / ( 1.0 + lx0*lx0 + ly0*ly0); - sin_tmp = sin(tmp); - cos_tmp = cos(tmp); - - lx1 = rho + b * ( lx0 * cos_tmp - ly0 * sin_tmp); - ly1 = b * ( lx0 * sin_tmp + ly0 * cos_tmp); - x->lx0 = lx1; - x->ly0 = ly1; - - outlet_float(x->ikeda_obj.ob_outlet, (t_float)lx1); - outlet_float(x->y_outlet, (t_float)ly1); +typedef struct ikeda_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, rho, rho_lo, rho_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]; +} ikeda_struct; + +static void calc(ikeda_struct *ikeda, double *vars) { + double t, s, d, x_0, y_0; + t=ikeda -> a-ikeda -> c/(1.0+vars[M_x]*vars[M_x]+vars[M_y]*vars[M_y]); + s=sin(t); + d=cos(t); + x_0 =ikeda -> rho+ikeda -> b*(vars[M_x]*d-vars[M_y]*s); + y_0 =ikeda -> b*(vars[M_x]*s+vars[M_y]*d); + vars[M_x] = x_0; + vars[M_y] = y_0; +} // end calc + +static void calculate(ikeda_struct *ikeda) { + calc(ikeda, ikeda -> vars); + outlet_float(ikeda -> x_obj.ob_outlet, ikeda -> vars[M_x]); + outlet_float(ikeda -> outlets[M_y - 1], ikeda -> vars[M_y]); +} // end calculate + +static void reset(ikeda_struct *ikeda, t_symbol *s, int argc, t_atom *argv) { + if (argc == M_var_count) { + ikeda -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv); + ikeda -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv); + } else { + ikeda -> vars[M_x] = ikeda -> vars_init[M_x]; + ikeda -> vars[M_y] = ikeda -> vars_init[M_y]; + } // end if +} // end reset + +static char *classify(ikeda_struct *ikeda) { + static char buff[5]; + char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + buff[0] = c[(int) (((ikeda -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)]; + buff[1] = c[(int) (((ikeda -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)]; + buff[2] = c[(int) (((ikeda -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)]; + buff[3] = c[(int) (((ikeda -> rho - M_rho_lo) * (1.0 / (M_rho_hi - M_rho_lo))) * 26)]; + buff[4] = '\0'; + return buff; +} + +static void make_results(ikeda_struct *ikeda) { + SETFLOAT(&ikeda -> search_out[0], ikeda -> lyap_exp); + SETSYMBOL(&ikeda -> search_out[1], gensym(classify(ikeda))); + SETFLOAT(&ikeda -> search_out[2], ikeda -> failure_ratio); + SETFLOAT(&ikeda -> vars_out[M_x], ikeda -> vars[M_x]); + SETFLOAT(&ikeda -> vars_out[M_y], ikeda -> vars[M_y]); + SETFLOAT(&ikeda -> params_out[M_a], ikeda -> a); + SETFLOAT(&ikeda -> params_out[M_b], ikeda -> b); + SETFLOAT(&ikeda -> params_out[M_c], ikeda -> c); + SETFLOAT(&ikeda -> params_out[M_rho], ikeda -> rho); + outlet_list(ikeda -> params_outlet, gensym("list"), M_param_count, ikeda -> params_out); + outlet_list(ikeda -> vars_outlet, gensym("list"), M_var_count, ikeda -> vars_out); } -static void reset(ikeda_struct *x, t_floatarg lx0, t_floatarg ly0) -{ - x->lx0 = lx0; - x->ly0 = ly0; +static void show(ikeda_struct *ikeda) { + make_results(ikeda); + outlet_anything(ikeda -> search_outlet, gensym("show"), M_search_count, ikeda -> search_out); } -static void param(ikeda_struct *x, t_floatarg a, t_floatarg b, t_floatarg c, t_floatarg rho) -{ - x->a = (double)a; - x->b = (double)b; - x->c = (double)c; - x->rho = (double)rho; +static void param(ikeda_struct *ikeda, t_symbol *s, int argc, t_atom *argv) { + if (argc != 4) { + post("Incorrect number of arguments for ikeda fractal. Expecting 4 arguments."); + return; + } + ikeda -> a = (double) atom_getfloatarg(0, argc, argv); + ikeda -> b = (double) atom_getfloatarg(1, argc, argv); + ikeda -> c = (double) atom_getfloatarg(2, argc, argv); + ikeda -> rho = (double) atom_getfloatarg(3, argc, argv); } -void *ikeda_new(void) -{ - ikeda_struct *x = (ikeda_struct *)pd_new(ikeda_class); - x->a = 0.4; - x->b = 0.9; - x->c = 6.0; - x->rho = 1.0; - x->lx0 = 0.1; - x->ly0 = 0.1; - - outlet_new(&x->ikeda_obj, &s_float); /* Default float outlet */ - x->y_outlet = outlet_new(&x->ikeda_obj, &s_float); /* New Outlet */ - - return (void *)x; +static void seed(ikeda_struct *ikeda, 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(ikeda_struct *ikeda, t_floatarg l, t_floatarg h, t_floatarg lim) { + ikeda -> lyap_lo = l; + ikeda -> lyap_hi = h; + ikeda -> lyap_limit = (double) ((int) lim); +} + +static void elyap(ikeda_struct *ikeda) { + double results[M_var_count]; + int i; + if (lyapunov_full((void *) ikeda, (t_gotfn) calc, M_var_count, ikeda -> vars, results) != NULL) { + post("elyapunov:"); + for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); } + } +} -void ikeda_setup(void) -{ - post("ikeda"); - - ikeda_class = class_new(gensym("ikeda"), /* symname is the symbolic name */ - (t_newmethod)ikeda_new, /* Constructor Function */ - 0, /* Destructor Function */ - sizeof(ikeda_struct), /* Size of the structure */ - CLASS_DEFAULT, /* Graphical Representation */ - 0); /* 0 Terminates Argument List */ - - class_addbang(ikeda_class, (t_method)calculate); - - class_addmethod(ikeda_class, - (t_method)reset, - gensym("reset"), - A_DEFFLOAT, - A_DEFFLOAT, - 0); - - class_addmethod(ikeda_class, - (t_method)param, - gensym("param"), - A_DEFFLOAT, - A_DEFFLOAT, - A_DEFFLOAT, - A_DEFFLOAT, - 0); +static void limiter(ikeda_struct *ikeda) { + if (ikeda -> a_lo < M_a_lo) { ikeda -> a_lo = M_a_lo; } + if (ikeda -> a_lo > M_a_hi) { ikeda -> a_lo = M_a_hi; } + if (ikeda -> a_hi < M_a_lo) { ikeda -> a_hi = M_a_lo; } + if (ikeda -> a_hi > M_a_hi) { ikeda -> a_hi = M_a_hi; } + if (ikeda -> b_lo < M_b_lo) { ikeda -> b_lo = M_b_lo; } + if (ikeda -> b_lo > M_b_hi) { ikeda -> b_lo = M_b_hi; } + if (ikeda -> b_hi < M_b_lo) { ikeda -> b_hi = M_b_lo; } + if (ikeda -> b_hi > M_b_hi) { ikeda -> b_hi = M_b_hi; } + if (ikeda -> c_lo < M_c_lo) { ikeda -> c_lo = M_c_lo; } + if (ikeda -> c_lo > M_c_hi) { ikeda -> c_lo = M_c_hi; } + if (ikeda -> c_hi < M_c_lo) { ikeda -> c_hi = M_c_lo; } + if (ikeda -> c_hi > M_c_hi) { ikeda -> c_hi = M_c_hi; } + if (ikeda -> rho_lo < M_rho_lo) { ikeda -> rho_lo = M_rho_lo; } + if (ikeda -> rho_lo > M_rho_hi) { ikeda -> rho_lo = M_rho_hi; } + if (ikeda -> rho_hi < M_rho_lo) { ikeda -> rho_hi = M_rho_lo; } + if (ikeda -> rho_hi > M_rho_hi) { ikeda -> rho_hi = M_rho_hi; } } + +static void constrain(ikeda_struct *ikeda, t_symbol *s, int argc, t_atom *argv) { + int i; + t_atom *arg = argv; + if (argc == 0) { + // reset to full limits of search ranges + ikeda -> a_lo = M_a_lo; + ikeda -> a_hi = M_a_hi; + ikeda -> b_lo = M_b_lo; + ikeda -> b_hi = M_b_hi; + ikeda -> c_lo = M_c_lo; + ikeda -> c_hi = M_c_hi; + ikeda -> rho_lo = M_rho_lo; + ikeda -> rho_hi = M_rho_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 rho_spread = ((M_rho_hi - M_rho_lo) * percent) / 2; + ikeda -> a_lo = ikeda -> a - a_spread; + ikeda -> a_hi = ikeda -> a + a_spread; + ikeda -> b_lo = ikeda -> b - b_spread; + ikeda -> b_hi = ikeda -> b + b_spread; + ikeda -> c_lo = ikeda -> c - c_spread; + ikeda -> c_hi = ikeda -> c + c_spread; + ikeda -> rho_lo = ikeda -> rho - rho_spread; + ikeda -> rho_hi = ikeda -> rho + rho_spread; + limiter(ikeda); + return; + } + if (argc != M_param_count * 2) { + post("Invalid number of arguments for ikeda constraints, requires 8 values, got %d", argc); + return; + } + ikeda -> a_lo = atom_getfloat(arg++); + ikeda -> a_hi = atom_getfloat(arg++); + ikeda -> b_lo = atom_getfloat(arg++); + ikeda -> b_hi = atom_getfloat(arg++); + ikeda -> c_lo = atom_getfloat(arg++); + ikeda -> c_hi = atom_getfloat(arg++); + ikeda -> rho_lo = atom_getfloat(arg++); + ikeda -> rho_hi = atom_getfloat(arg++); + limiter(ikeda); +} + +static void search(ikeda_struct *ikeda, t_symbol *s, int argc, t_atom *argv) { + int not_found, not_expired = ikeda -> lyap_limit; + int jump, i, iterations; + t_atom vars[M_var_count]; + double temp_a = ikeda -> a; + double temp_b = ikeda -> b; + double temp_c = ikeda -> c; + double temp_rho = ikeda -> rho; + 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], ikeda -> vars_init[i]); + } + } + do { + jump = 500; + not_found = 0; + iterations = 10000; + bad_params: + ikeda -> a = (drand48() * (ikeda -> a_hi - ikeda -> a_lo)) + ikeda -> a_lo; + ikeda -> b = (drand48() * (ikeda -> b_hi - ikeda -> b_lo)) + ikeda -> b_lo; + ikeda -> c = (drand48() * (ikeda -> c_hi - ikeda -> c_lo)) + ikeda -> c_lo; + ikeda -> rho = (drand48() * (ikeda -> rho_hi - ikeda -> rho_lo)) + ikeda -> rho_lo; + // put any preliminary checks specific to this fractal to eliminate bad_params + + reset(ikeda, NULL, argc, vars); + do { calc(ikeda, ikeda -> vars); } while(jump--); + ikeda -> lyap_exp = lyapunov((void *) ikeda, (t_gotfn) calc, M_var_count, (double *) ikeda -> vars); + if (isnan(ikeda -> lyap_exp)) { not_found = 1; } + if (ikeda -> lyap_exp < ikeda -> lyap_lo || ikeda -> lyap_exp > ikeda -> lyap_hi) { not_found = 1; } + not_expired--; + } while(not_found && not_expired); + reset(ikeda, NULL, argc, vars); + if (!not_expired) { + post("Could not find a fractal after %d attempts.", (int) ikeda -> lyap_limit); + post("Try using wider constraints."); + ikeda -> a = temp_a; + ikeda -> b = temp_b; + ikeda -> c = temp_c; + ikeda -> rho = temp_rho; + outlet_anything(ikeda -> search_outlet, gensym("invalid"), 0, NULL); + } else { + ikeda -> failure_ratio = (ikeda -> lyap_limit - not_expired) / ikeda -> lyap_limit; + make_results(ikeda); + outlet_anything(ikeda -> search_outlet, gensym("search"), M_search_count, ikeda -> search_out); + } +} + +void *ikeda_new(t_symbol *s, int argc, t_atom *argv) { + ikeda_struct *ikeda = (ikeda_struct *) pd_new(ikeda_class); + if (ikeda != NULL) { + outlet_new(&ikeda -> x_obj, &s_float); + ikeda -> outlets[0] = outlet_new(&ikeda -> x_obj, &s_float); + ikeda -> search_outlet = outlet_new(&ikeda -> x_obj, &s_list); + ikeda -> vars_outlet = outlet_new(&ikeda -> x_obj, &s_list); + ikeda -> params_outlet = outlet_new(&ikeda -> x_obj, &s_list); + if (argc == M_param_count + M_var_count) { + ikeda -> vars_init[M_x] = ikeda -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv); + ikeda -> vars_init[M_y] = ikeda -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv); + ikeda -> a = (double) atom_getfloatarg(2, argc, argv); + ikeda -> b = (double) atom_getfloatarg(3, argc, argv); + ikeda -> c = (double) atom_getfloatarg(4, argc, argv); + ikeda -> rho = (double) atom_getfloatarg(5, argc, argv); + } else { + if (argc != 0 && argc != M_param_count + M_var_count) { + post("Incorrect number of arguments for ikeda fractal. Expecting 6 arguments."); + } + ikeda -> vars_init[M_x] = 0.1; + ikeda -> vars_init[M_y] = 0.1; + ikeda -> a = 0.4; + ikeda -> b = 0.9; + ikeda -> c = 6; + ikeda -> rho = 1; + } + constrain(ikeda, NULL, 0, NULL); + lyap(ikeda, -1000000.0, 1000000.0, M_failure_limit); + } + return (void *)ikeda; +} + +void ikeda_setup(void) { + ikeda_class = class_new(gensym("ikeda"), (t_newmethod) ikeda_new, 0, sizeof(ikeda_struct), 0, A_GIMME, 0); + class_addbang(ikeda_class, (t_method) calculate); + class_addmethod(ikeda_class, (t_method) reset, gensym("reset"), A_GIMME, 0); + class_addmethod(ikeda_class, (t_method) show, gensym("show"), 0); + class_addmethod(ikeda_class, (t_method) param, gensym("param"), A_GIMME, 0); + class_addmethod(ikeda_class, (t_method) seed, gensym("seed"), A_GIMME, 0); + class_addmethod(ikeda_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0); + class_addmethod(ikeda_class, (t_method) elyap, gensym("elyapunov"), 0); + class_addmethod(ikeda_class, (t_method) search, gensym("search"), A_GIMME, 0); + class_addmethod(ikeda_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0); + class_sethelpsymbol(ikeda_class, gensym("help-ikeda.pd")); +} + |