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Diffstat (limited to 'latoomutalpha.c')
| -rw-r--r-- | latoomutalpha.c | 325 |
1 files changed, 325 insertions, 0 deletions
diff --git a/latoomutalpha.c b/latoomutalpha.c new file mode 100644 index 0000000..3648d8c --- /dev/null +++ b/latoomutalpha.c @@ -0,0 +1,325 @@ +/* latoomutalpha 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 <stdio.h> +#include <stdlib.h> +#include <math.h> +#include <time.h> +#include "lyapunov.h" + +#define M_a_lo -3 +#define M_a_hi 3 +#define M_b_lo -3 +#define M_b_hi 3 +#define M_c_lo 0.5 +#define M_c_hi 1.5 +#define M_d_lo 0.5 +#define M_d_hi 1.5 + +#define M_a 0 +#define M_b 1 +#define M_c 2 +#define M_d 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 = "latoomutalpha v0.0, by Michael McGonagle, from Cliff Pickover, 2003"; + +t_class *latoomutalpha_class; + +typedef struct latoomutalpha_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; + 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]; +} latoomutalpha_struct; + +static void calc(latoomutalpha_struct *latoomutalpha, double *vars) { + double x_0, y_0; + x_0 =sin(vars[M_y]*latoomutalpha -> b)+pow(sin(vars[M_x]*latoomutalpha -> b),2)+pow(sin(vars[M_x]*latoomutalpha -> b),3); + y_0 =sin(vars[M_x]*latoomutalpha -> a)+pow(sin(vars[M_y]*latoomutalpha -> a),2)+pow(sin(vars[M_y]*latoomutalpha -> c),3); + vars[M_x] = x_0; + vars[M_y] = y_0; +} // end calc + +static void calculate(latoomutalpha_struct *latoomutalpha) { + calc(latoomutalpha, latoomutalpha -> vars); + outlet_float(latoomutalpha -> x_obj.ob_outlet, latoomutalpha -> vars[M_x]); + outlet_float(latoomutalpha -> outlets[M_y - 1], latoomutalpha -> vars[M_y]); +} // end calculate + +static void reset(latoomutalpha_struct *latoomutalpha, t_symbol *s, int argc, t_atom *argv) { + if (argc == M_var_count) { + latoomutalpha -> vars[M_x] = (double) atom_getfloatarg(M_x, argc, argv); + latoomutalpha -> vars[M_y] = (double) atom_getfloatarg(M_y, argc, argv); + } else { + latoomutalpha -> vars[M_x] = latoomutalpha -> vars_init[M_x]; + latoomutalpha -> vars[M_y] = latoomutalpha -> vars_init[M_y]; + } // end if +} // end reset + +static char *classify(latoomutalpha_struct *latoomutalpha) { + static char buff[5]; + char *c = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; + buff[0] = c[(int) (((latoomutalpha -> a - M_a_lo) * (1.0 / (M_a_hi - M_a_lo))) * 26)]; + buff[1] = c[(int) (((latoomutalpha -> b - M_b_lo) * (1.0 / (M_b_hi - M_b_lo))) * 26)]; + buff[2] = c[(int) (((latoomutalpha -> c - M_c_lo) * (1.0 / (M_c_hi - M_c_lo))) * 26)]; + buff[3] = c[(int) (((latoomutalpha -> d - M_d_lo) * (1.0 / (M_d_hi - M_d_lo))) * 26)]; + buff[4] = '\0'; + return buff; +} + +static void make_results(latoomutalpha_struct *latoomutalpha) { + SETFLOAT(&latoomutalpha -> search_out[0], latoomutalpha -> lyap_exp); + SETSYMBOL(&latoomutalpha -> search_out[1], gensym(classify(latoomutalpha))); + SETFLOAT(&latoomutalpha -> search_out[2], latoomutalpha -> failure_ratio); + SETFLOAT(&latoomutalpha -> vars_out[M_x], latoomutalpha -> vars[M_x]); + SETFLOAT(&latoomutalpha -> vars_out[M_y], latoomutalpha -> vars[M_y]); + SETFLOAT(&latoomutalpha -> params_out[M_a], latoomutalpha -> a); + SETFLOAT(&latoomutalpha -> params_out[M_b], latoomutalpha -> b); + SETFLOAT(&latoomutalpha -> params_out[M_c], latoomutalpha -> c); + SETFLOAT(&latoomutalpha -> params_out[M_d], latoomutalpha -> d); + outlet_list(latoomutalpha -> params_outlet, gensym("list"), M_param_count, latoomutalpha -> params_out); + outlet_list(latoomutalpha -> vars_outlet, gensym("list"), M_var_count, latoomutalpha -> vars_out); +} + +static void show(latoomutalpha_struct *latoomutalpha) { + make_results(latoomutalpha); + outlet_anything(latoomutalpha -> search_outlet, gensym("show"), M_search_count, latoomutalpha -> search_out); +} + +static void param(latoomutalpha_struct *latoomutalpha, t_symbol *s, int argc, t_atom *argv) { + if (argc != 4) { + post("Incorrect number of arguments for latoomutalpha fractal. Expecting 4 arguments."); + return; + } + latoomutalpha -> a = (double) atom_getfloatarg(0, argc, argv); + latoomutalpha -> b = (double) atom_getfloatarg(1, argc, argv); + latoomutalpha -> c = (double) atom_getfloatarg(2, argc, argv); + latoomutalpha -> d = (double) atom_getfloatarg(3, argc, argv); +} + +static void seed(latoomutalpha_struct *latoomutalpha, 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(latoomutalpha_struct *latoomutalpha, t_floatarg l, t_floatarg h, t_floatarg lim) { + latoomutalpha -> lyap_lo = l; + latoomutalpha -> lyap_hi = h; + latoomutalpha -> lyap_limit = (double) ((int) lim); +} + +static void elyap(latoomutalpha_struct *latoomutalpha) { + double results[M_var_count]; + int i; + if (lyapunov_full((void *) latoomutalpha, (t_gotfn) calc, M_var_count, latoomutalpha -> vars, results) != NULL) { + post("elyapunov:"); + for(i = 0; i < M_var_count; i++) { post("%d: %3.80f", i, results[i]); } + } +} + +static void limiter(latoomutalpha_struct *latoomutalpha) { + if (latoomutalpha -> a_lo < M_a_lo) { latoomutalpha -> a_lo = M_a_lo; } + if (latoomutalpha -> a_lo > M_a_hi) { latoomutalpha -> a_lo = M_a_hi; } + if (latoomutalpha -> a_hi < M_a_lo) { latoomutalpha -> a_hi = M_a_lo; } + if (latoomutalpha -> a_hi > M_a_hi) { latoomutalpha -> a_hi = M_a_hi; } + if (latoomutalpha -> b_lo < M_b_lo) { latoomutalpha -> b_lo = M_b_lo; } + if (latoomutalpha -> b_lo > M_b_hi) { latoomutalpha -> b_lo = M_b_hi; } + if (latoomutalpha -> b_hi < M_b_lo) { latoomutalpha -> b_hi = M_b_lo; } + if (latoomutalpha -> b_hi > M_b_hi) { latoomutalpha -> b_hi = M_b_hi; } + if (latoomutalpha -> c_lo < M_c_lo) { latoomutalpha -> c_lo = M_c_lo; } + if (latoomutalpha -> c_lo > M_c_hi) { latoomutalpha -> c_lo = M_c_hi; } + if (latoomutalpha -> c_hi < M_c_lo) { latoomutalpha -> c_hi = M_c_lo; } + if (latoomutalpha -> c_hi > M_c_hi) { latoomutalpha -> c_hi = M_c_hi; } + if (latoomutalpha -> d_lo < M_d_lo) { latoomutalpha -> d_lo = M_d_lo; } + if (latoomutalpha -> d_lo > M_d_hi) { latoomutalpha -> d_lo = M_d_hi; } + if (latoomutalpha -> d_hi < M_d_lo) { latoomutalpha -> d_hi = M_d_lo; } + if (latoomutalpha -> d_hi > M_d_hi) { latoomutalpha -> d_hi = M_d_hi; } +} + +static void constrain(latoomutalpha_struct *latoomutalpha, t_symbol *s, int argc, t_atom *argv) { + int i; + t_atom *arg = argv; + if (argc == 0) { + // reset to full limits of search ranges + latoomutalpha -> a_lo = M_a_lo; + latoomutalpha -> a_hi = M_a_hi; + latoomutalpha -> b_lo = M_b_lo; + latoomutalpha -> b_hi = M_b_hi; + latoomutalpha -> c_lo = M_c_lo; + latoomutalpha -> c_hi = M_c_hi; + latoomutalpha -> d_lo = M_d_lo; + latoomutalpha -> d_hi = M_d_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; + latoomutalpha -> a_lo = latoomutalpha -> a - a_spread; + latoomutalpha -> a_hi = latoomutalpha -> a + a_spread; + latoomutalpha -> b_lo = latoomutalpha -> b - b_spread; + latoomutalpha -> b_hi = latoomutalpha -> b + b_spread; + latoomutalpha -> c_lo = latoomutalpha -> c - c_spread; + latoomutalpha -> c_hi = latoomutalpha -> c + c_spread; + latoomutalpha -> d_lo = latoomutalpha -> d - d_spread; + latoomutalpha -> d_hi = latoomutalpha -> d + d_spread; + limiter(latoomutalpha); + return; + } + if (argc != M_param_count * 2) { + post("Invalid number of arguments for latoomutalpha constraints, requires 8 values, got %d", argc); + return; + } + latoomutalpha -> a_lo = atom_getfloat(arg++); + latoomutalpha -> a_hi = atom_getfloat(arg++); + latoomutalpha -> b_lo = atom_getfloat(arg++); + latoomutalpha -> b_hi = atom_getfloat(arg++); + latoomutalpha -> c_lo = atom_getfloat(arg++); + latoomutalpha -> c_hi = atom_getfloat(arg++); + latoomutalpha -> d_lo = atom_getfloat(arg++); + latoomutalpha -> d_hi = atom_getfloat(arg++); + limiter(latoomutalpha); +} + +static void search(latoomutalpha_struct *latoomutalpha, t_symbol *s, int argc, t_atom *argv) { + int not_found, not_expired = latoomutalpha -> lyap_limit; + int jump, i, iterations; + t_atom vars[M_var_count]; + double temp_a = latoomutalpha -> a; + double temp_b = latoomutalpha -> b; + double temp_c = latoomutalpha -> c; + double temp_d = latoomutalpha -> d; + 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], latoomutalpha -> vars_init[i]); + } + } + do { + jump = 500; + not_found = 0; + iterations = 10000; + bad_params: + latoomutalpha -> a = (drand48() * (latoomutalpha -> a_hi - latoomutalpha -> a_lo)) + latoomutalpha -> a_lo; + latoomutalpha -> b = (drand48() * (latoomutalpha -> b_hi - latoomutalpha -> b_lo)) + latoomutalpha -> b_lo; + latoomutalpha -> c = (drand48() * (latoomutalpha -> c_hi - latoomutalpha -> c_lo)) + latoomutalpha -> c_lo; + latoomutalpha -> d = (drand48() * (latoomutalpha -> d_hi - latoomutalpha -> d_lo)) + latoomutalpha -> d_lo; + // put any preliminary checks specific to this fractal to eliminate bad_params + + reset(latoomutalpha, NULL, argc, vars); + do { calc(latoomutalpha, latoomutalpha -> vars); } while(jump--); + latoomutalpha -> lyap_exp = lyapunov((void *) latoomutalpha, (t_gotfn) calc, M_var_count, (double *) latoomutalpha -> vars); + if (isnan(latoomutalpha -> lyap_exp)) { not_found = 1; } + if (latoomutalpha -> lyap_exp < latoomutalpha -> lyap_lo || latoomutalpha -> lyap_exp > latoomutalpha -> lyap_hi) { not_found = 1; } + not_expired--; + } while(not_found && not_expired); + reset(latoomutalpha, NULL, argc, vars); + if (!not_expired) { + post("Could not find a fractal after %d attempts.", (int) latoomutalpha -> lyap_limit); + post("Try using wider constraints."); + latoomutalpha -> a = temp_a; + latoomutalpha -> b = temp_b; + latoomutalpha -> c = temp_c; + latoomutalpha -> d = temp_d; + outlet_anything(latoomutalpha -> search_outlet, gensym("invalid"), 0, NULL); + } else { + latoomutalpha -> failure_ratio = (latoomutalpha -> lyap_limit - not_expired) / latoomutalpha -> lyap_limit; + make_results(latoomutalpha); + outlet_anything(latoomutalpha -> search_outlet, gensym("search"), M_search_count, latoomutalpha -> search_out); + } +} + +void *latoomutalpha_new(t_symbol *s, int argc, t_atom *argv) { + latoomutalpha_struct *latoomutalpha = (latoomutalpha_struct *) pd_new(latoomutalpha_class); + if (latoomutalpha != NULL) { + outlet_new(&latoomutalpha -> x_obj, &s_float); + latoomutalpha -> outlets[0] = outlet_new(&latoomutalpha -> x_obj, &s_float); + latoomutalpha -> search_outlet = outlet_new(&latoomutalpha -> x_obj, &s_list); + latoomutalpha -> vars_outlet = outlet_new(&latoomutalpha -> x_obj, &s_list); + latoomutalpha -> params_outlet = outlet_new(&latoomutalpha -> x_obj, &s_list); + if (argc == M_param_count + M_var_count) { + latoomutalpha -> vars_init[M_x] = latoomutalpha -> vars[M_x] = (double) atom_getfloatarg(0, argc, argv); + latoomutalpha -> vars_init[M_y] = latoomutalpha -> vars[M_y] = (double) atom_getfloatarg(1, argc, argv); + latoomutalpha -> a = (double) atom_getfloatarg(2, argc, argv); + latoomutalpha -> b = (double) atom_getfloatarg(3, argc, argv); + latoomutalpha -> c = (double) atom_getfloatarg(4, argc, argv); + latoomutalpha -> d = (double) atom_getfloatarg(5, argc, argv); + } else { + if (argc != 0 && argc != M_param_count + M_var_count) { + post("Incorrect number of arguments for latoomutalpha fractal. Expecting 6 arguments."); + } + latoomutalpha -> vars_init[M_x] = 0.1; + latoomutalpha -> vars_init[M_y] = 0.1; + latoomutalpha -> a = 1; + latoomutalpha -> b = 1; + latoomutalpha -> c = 1; + latoomutalpha -> d = 1; + } + constrain(latoomutalpha, NULL, 0, NULL); + lyap(latoomutalpha, -1000000.0, 1000000.0, M_failure_limit); + } + return (void *)latoomutalpha; +} + +void latoomutalpha_setup(void) { + latoomutalpha_class = class_new(gensym("latoomutalpha"), (t_newmethod) latoomutalpha_new, 0, sizeof(latoomutalpha_struct), 0, A_GIMME, 0); + class_addbang(latoomutalpha_class, (t_method) calculate); + class_addmethod(latoomutalpha_class, (t_method) reset, gensym("reset"), A_GIMME, 0); + class_addmethod(latoomutalpha_class, (t_method) show, gensym("show"), 0); + class_addmethod(latoomutalpha_class, (t_method) param, gensym("param"), A_GIMME, 0); + class_addmethod(latoomutalpha_class, (t_method) seed, gensym("seed"), A_GIMME, 0); + class_addmethod(latoomutalpha_class, (t_method) lyap, gensym("lyapunov"), A_DEFFLOAT, A_DEFFLOAT, A_DEFFLOAT, 0); + class_addmethod(latoomutalpha_class, (t_method) elyap, gensym("elyapunov"), 0); + class_addmethod(latoomutalpha_class, (t_method) search, gensym("search"), A_GIMME, 0); + class_addmethod(latoomutalpha_class, (t_method) constrain, gensym("constrain"), A_GIMME, 0); + class_sethelpsymbol(latoomutalpha_class, gensym("help-latoomutalpha.pd")); +} + |