diff options
Diffstat (limited to 'base3.c')
| -rw-r--r-- | base3.c | 269 |
1 files changed, 269 insertions, 0 deletions
@@ -0,0 +1,269 @@ +/* base3 Attractor PD External */ +/* Copyright Michael McGonagle, 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 0 +#define M_a_hi 3 +#define M_b_lo 0.001 +#define M_b_hi 2.6667 + +#define M_a 0 +#define M_b 1 + +#define M_x 0 + +#define M_param_count 2 +#define M_var_count 1 +#define M_search_count 3 +#define M_failure_limit 1000 + +static char *version = "base3 v0.0, by Michael McGonagle, 2003"; + +t_class *base3_class; + +typedef struct base3_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; + t_atom params_out[M_param_count]; + t_outlet *params_outlet; + double lyap_exp, lyap_lo, lyap_hi, lyap_limit, failure_ratio; +} base3_struct; + +static void calc(base3_struct *base3, double *vars) { + double x_0; + x_0 =base3 -> a*sin(pow(vars[M_x],base3 -> b)); + vars[M_x] = x_0; +} // end calc + +static void calculate(base3_struct *base3) { + calc(base3, base3 -> vars); + outlet_float(base3 -> x_obj.ob_outlet, base3 -> vars[M_x]); +} // end calculate + +static void reset(base3_struct *base3, t_symbol *s, int argc, t_atom *argv) { + if (argc == M_var_count) { + base3 -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv); + } else { + base3 -> vars[M_x] = base3 -> vars_init[M_x]; + } // end if +} // end reset + +static char *classify(base3_struct *base3) { + static char buff[3]; + char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + buff[0] = c[(int) (((base3 -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)]; + buff[1] = c[(int) (((base3 -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)]; + buff[2] = '\0'; + return buff; +} + +static void make_results(base3_struct *base3) { + SETFLOAT(&base3 -> search_out[0], base3 -> lyap_exp); + SETSYMBOL(&base3 -> search_out[1], gensym(classify(base3))); + SETFLOAT(&base3 -> search_out[2], base3 -> failure_ratio); + SETFLOAT(&base3 -> vars_out[M_x], base3 -> vars[M_x]); + SETFLOAT(&base3 -> params_out[M_a], base3 -> a); + SETFLOAT(&base3 -> params_out[M_b], base3 -> b); + outlet_list(base3 -> params_outlet, gensym("list"), M_param_count, base3 -> params_out); + outlet_list(base3 -> vars_outlet, gensym("list"), M_var_count, base3 -> vars_out); +} + +static void show(base3_struct *base3) { + make_results(base3); + outlet_anything(base3 -> search_outlet, gensym("show"), M_search_count, base3 -> search_out); +} + +static void param(base3_struct *base3, t_symbol *s, int argc, t_atom *argv) { + if (argc != 2) { + post("Incorrect number of arguments for base3 fractal. Expecting 2 arguments."); + return; + } + base3 -> a = (double) atom_getfloatarg(0, argc, argv); + base3 -> b = (double) atom_getfloatarg(1, argc, argv); +} + +static void seed(base3_struct *base3, 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(base3_struct *base3, t_floatarg l, t_floatarg h, t_floatarg lim) { + base3 -> lyap_lo = l; + base3 -> lyap_hi = h; + base3 -> lyap_limit = (double) ((int) lim); +} + +static void elyap(base3_struct *base3) { + double results[M_var_count]; + int i; + if (lyapunov_full((void *) base3, (t_gotfn) calc, M_var_count, base3 -> vars, results) != NULL) { + post("elyapunov:"); + for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); } + } +} + +static void limiter(base3_struct *base3) { + if (base3 -> a_lo < M_a_lo) { base3 -> a_lo = M_a_lo; } + if (base3 -> a_lo > M_a_hi) { base3 -> a_lo = M_a_hi; } + if (base3 -> a_hi < M_a_lo) { base3 -> a_hi = M_a_lo; } + if (base3 -> a_hi > M_a_hi) { base3 -> a_hi = M_a_hi; } + if (base3 -> b_lo < M_b_lo) { base3 -> b_lo = M_b_lo; } + if (base3 -> b_lo > M_b_hi) { base3 -> b_lo = M_b_hi; } + if (base3 -> b_hi < M_b_lo) { base3 -> b_hi = M_b_lo; } + if (base3 -> b_hi > M_b_hi) { base3 -> b_hi = M_b_hi; } +} + +static void constrain(base3_struct *base3, t_symbol *s, int argc, t_atom *argv) { + int i; + t_atom *arg = argv; + if (argc == 0) { + // reset to full limits of search ranges + base3 -> a_lo = M_a_lo; + base3 -> a_hi = M_a_hi; + base3 -> b_lo = M_b_lo; + base3 -> b_hi = M_b_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; + base3 -> a_lo = base3 -> a - a_spread; + base3 -> a_hi = base3 -> a + a_spread; + base3 -> b_lo = base3 -> b - b_spread; + base3 -> b_hi = base3 -> b + b_spread; + limiter(base3); + return; + } + if (argc != M_param_count * 2) { + post("Invalid number of arguments for base3 constraints, requires 4 values, got %d", argc); + return; + } + base3 -> a_lo = atom_getfloat(arg++); + base3 -> a_hi = atom_getfloat(arg++); + base3 -> b_lo = atom_getfloat(arg++); + base3 -> b_hi = atom_getfloat(arg++); + limiter(base3); +} + +static void search(base3_struct *base3, t_symbol *s, int argc, t_atom *argv) { + int not_found, not_expired = base3 -> lyap_limit; + int jump, i, iterations; + t_atom vars[M_var_count]; + double temp_a = base3 -> a; + double temp_b = base3 -> b; + 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], base3 -> vars_init[i]); + } + } + do { + jump = 500; + not_found = 0; + iterations = 10000; + bad_params: + base3 -> a = (drand48() * (base3 -> a_hi - base3 -> a_lo)) + base3 -> a_lo; + base3 -> b = (drand48() * (base3 -> b_hi - base3 -> b_lo)) + base3 -> b_lo; + // put any preliminary checks specific to this fractal to eliminate bad_params + + reset(base3, NULL, argc, vars); + do { calc(base3, base3 -> vars); } while(jump--); + base3 -> lyap_exp = lyapunov((void *) base3, (t_gotfn) calc, M_var_count, (double *) base3 -> vars); + if (isnan(base3 -> lyap_exp)) { not_found = 1; } + if (base3 -> lyap_exp < base3 -> lyap_lo || base3 -> lyap_exp > base3 -> lyap_hi) { not_found = 1; } + not_expired--; + } while(not_found && not_expired); + reset(base3, NULL, argc, vars); + if (!not_expired) { + post("Could not find a fractal after %d attempts.", (int) base3 -> lyap_limit); + post("Try using wider constraints."); + base3 -> a = temp_a; + base3 -> b = temp_b; + outlet_anything(base3 -> search_outlet, gensym("invalid"), 0, NULL); + } else { + base3 -> failure_ratio = (base3 -> lyap_limit - not_expired) / base3 -> lyap_limit; + make_results(base3); + outlet_anything(base3 -> search_outlet, gensym("search"), M_search_count, base3 -> search_out); + } +} + +void *base3_new(t_symbol *s, int argc, t_atom *argv) { + base3_struct *base3 = (base3_struct *) pd_new(base3_class); + if (base3 != NULL) { + outlet_new(&base3 -> x_obj, &s_float); + base3 -> search_outlet = outlet_new(&base3 -> x_obj, &s_list); + base3 -> vars_outlet = outlet_new(&base3 -> x_obj, &s_list); + base3 -> params_outlet = outlet_new(&base3 -> x_obj, &s_list); + if (argc == M_param_count + M_var_count) { + base3 -> vars_init[M_x] = base3 -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv); + base3 -> a = (double) atom_getfloatarg(1, argc, argv); + base3 -> b = (double) atom_getfloatarg(2, argc, argv); + } else { + if (argc != 0 && argc != M_param_count + M_var_count) { + post("Incorrect number of arguments for base3 fractal. Expecting 3 arguments."); + } + base3 -> vars_init[M_x] = 0.1; + base3 -> a = 1; + base3 -> b = 1; + } + constrain(base3, NULL, 0, NULL); + lyap(base3, -1000000.0, 1000000.0, M_failure_limit); + } + return (void *)base3; +} + +void base3_setup(void) { + base3_class = class_new(gensym("base3"), (t_newmethod) base3_new, 0, sizeof(base3_struct), 0, A_GIMME, 0); + class_addbang(base3_class, (t_method) calculate); + class_addmethod(base3_class, (t_method) reset, gensym("reset"), A_GIMME, 0); + class_addmethod(base3_class, (t_method) show, gensym("show"), 0); + class_addmethod(base3_class, (t_method) param, gensym("param"), A_GIMME, 0); + class_addmethod(base3_class, (t_method) seed, gensym("seed"), A_GIMME, 0); + class_addmethod(base3_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0); + class_addmethod(base3_class, (t_method) elyap, gensym("elyapunov"), 0); + class_addmethod(base3_class, (t_method) search, gensym("search"), A_GIMME, 0); + class_addmethod(base3_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0); + class_sethelpsymbol(base3_class, gensym("help-base3.pd")); +} + |