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| 1 | /** | |
| 2 | * description: | |
| 3 | * Simple genetic algorithm for finding equation that equals target number | |
| 4 | * example for number 27 has many results: | |
| 5 | * - 7+29-8-1 | |
| 6 | * - 15+28-16 | |
| 7 | * this code isn't really perfect ^_^ but shows some basics. | |
| 8 | * tested in linux fedora 14 with valgrind. | |
| 9 | * | |
| 10 | * author: ADRABI Abderrahim (adrabi[at]mail[dot]ru) | |
| 11 | * date: 2011-10-03 | |
| 12 | */ | |
| 13 | #include <stdio.h> | |
| 14 | #include <stdlib.h> | |
| 15 | #include <time.h> | |
| 16 | #include <string.h> | |
| 17 | ||
| 18 | #define POPSIZE 1024 | |
| 19 | #define ELITRATE 0.1f | |
| 20 | #define MUTATIONRATE 0.25f | |
| 21 | #define ELEMENTS 8 | |
| 22 | #define MUTATION RAND_MAX * MUTATIONRATE | |
| 23 | #define TARGET 27 | |
| 24 | ||
| 25 | /** | |
| 26 | * Basic elements for construction an equation | |
| 27 | */ | |
| 28 | static const char *BIN_ELEMENTS[12] = {
| |
| 29 | "0000\0", // 0 | |
| 30 | "0001\0", // 1 | |
| 31 | "0010\0", // 2 | |
| 32 | "0011\0", // 3 | |
| 33 | "0100\0", // 4 | |
| 34 | "0101\0", // 5 | |
| 35 | "0110\0", // 6 | |
| 36 | "0111\0", // 7 | |
| 37 | "1000\0", // 8 | |
| 38 | "1001\0", // 9 | |
| 39 | "1010\0", // + | |
| 40 | "1011\0" // - | |
| 41 | }; | |
| 42 | ||
| 43 | /** | |
| 44 | * Structure base of genome | |
| 45 | */ | |
| 46 | typedef struct | |
| 47 | {
| |
| 48 | unsigned int fitness; | |
| 49 | char *gen; | |
| 50 | } ga_struct; | |
| 51 | ||
| 52 | /** | |
| 53 | * Initialize new random population | |
| 54 | */ | |
| 55 | void | |
| 56 | init_population (ga_struct * population, ga_struct * beta_population) | |
| 57 | {
| |
| 58 | const int bin_size = (sizeof (char) * ELEMENTS * 4) + 1; | |
| 59 | int index = 0; | |
| 60 | for (; index < POPSIZE; index++) | |
| 61 | {
| |
| 62 | // default initialization/ create empty genome | |
| 63 | population[index].fitness = 0; | |
| 64 | population[index].gen = malloc (bin_size); | |
| 65 | *population[index].gen = '\0'; | |
| 66 | ||
| 67 | // default initialization/ create empty genome | |
| 68 | beta_population[index].fitness = 0; | |
| 69 | beta_population[index].gen = malloc (bin_size); | |
| 70 | *beta_population[index].gen = '\0'; | |
| 71 | ||
| 72 | int e = 0; | |
| 73 | for (; e < ELEMENTS; e++) | |
| 74 | {
| |
| 75 | // put random element in population | |
| 76 | // 12 is count of elements in BIN_ELEMENTS array | |
| 77 | strcat (population[index].gen, BIN_ELEMENTS[(rand () % 12)]); | |
| 78 | } | |
| 79 | } | |
| 80 | } | |
| 81 | ||
| 82 | /** | |
| 83 | * Calculate each individual fitness in population | |
| 84 | */ | |
| 85 | void | |
| 86 | cal_fitness (ga_struct * population) | |
| 87 | {
| |
| 88 | int index = 0; | |
| 89 | int unsigned fitness = 0; | |
| 90 | for (; index < POPSIZE; index++) | |
| 91 | {
| |
| 92 | char *gen_str = population[index].gen; | |
| 93 | int gen_len = strlen (gen_str), sum = 0, current_value = 0, step = 0; | |
| 94 | unsigned int last_operator_index = -1; | |
| 95 | char last_operator = (char) 0; | |
| 96 | ||
| 97 | for (; step < ELEMENTS; step++) | |
| 98 | {
| |
| 99 | char element[5] = "\0"; | |
| 100 | strncpy (element, gen_str, 4); | |
| 101 | if (strcmp ("0000", element) == 0)
| |
| 102 | {
| |
| 103 | current_value *= 10; | |
| 104 | } | |
| 105 | else if (strcmp ("0001", element) == 0)
| |
| 106 | {
| |
| 107 | current_value = (current_value * 10) + 1; | |
| 108 | } | |
| 109 | else if (strcmp ("0010", element) == 0)
| |
| 110 | {
| |
| 111 | current_value = (current_value * 10) + 2; | |
| 112 | } | |
| 113 | else if (strcmp ("0011", element) == 0)
| |
| 114 | {
| |
| 115 | current_value = (current_value * 10) + 3; | |
| 116 | } | |
| 117 | else if (strcmp ("0100", element) == 0)
| |
| 118 | {
| |
| 119 | current_value = (current_value * 10) + 4; | |
| 120 | } | |
| 121 | else if (strcmp ("0101", element) == 0)
| |
| 122 | {
| |
| 123 | current_value = (current_value * 10) + 5; | |
| 124 | } | |
| 125 | else if (strcmp ("0110", element) == 0)
| |
| 126 | {
| |
| 127 | current_value = (current_value * 10) + 6; | |
| 128 | } | |
| 129 | else if (strcmp ("0111", element) == 0)
| |
| 130 | {
| |
| 131 | current_value = (current_value * 10) + 7; | |
| 132 | } | |
| 133 | else if (strcmp ("1000", element) == 0)
| |
| 134 | {
| |
| 135 | current_value = (current_value * 10) + 8; | |
| 136 | } | |
| 137 | else if (strcmp ("1001", element) == 0)
| |
| 138 | {
| |
| 139 | current_value = (current_value * 10) + 9; | |
| 140 | } | |
| 141 | // ignore elements that have two flowed operators or ends with operators like: | |
| 142 | // * 1+-1++-1 | |
| 143 | // * 2333+55+ | |
| 144 | else if (strcmp ("1010", element) == 0
| |
| 145 | && step - last_operator_index > 1 && step + 1 < ELEMENTS) | |
| 146 | {
| |
| 147 | if (last_operator == (char) 0) | |
| 148 | {
| |
| 149 | sum = current_value; | |
| 150 | } | |
| 151 | else if (last_operator == '+') | |
| 152 | {
| |
| 153 | sum += current_value; | |
| 154 | } | |
| 155 | else if (last_operator == '-') | |
| 156 | {
| |
| 157 | sum -= current_value; | |
| 158 | } | |
| 159 | ||
| 160 | current_value = 0; | |
| 161 | last_operator_index = step; | |
| 162 | last_operator = '+'; | |
| 163 | } | |
| 164 | // ignore elements that have two flowed operators or ends with operators like: | |
| 165 | // * 1+-1++-1 | |
| 166 | // * 2333+55+ | |
| 167 | else if (strcmp ("1011", element) == 0
| |
| 168 | && step - last_operator_index > 1 && step + 1 < ELEMENTS) | |
| 169 | {
| |
| 170 | if (last_operator == (char) 0) | |
| 171 | {
| |
| 172 | sum = current_value; | |
| 173 | } | |
| 174 | else if (last_operator == '+') | |
| 175 | {
| |
| 176 | sum += current_value; | |
| 177 | } | |
| 178 | else if (last_operator == '-') | |
| 179 | {
| |
| 180 | sum -= current_value; | |
| 181 | } | |
| 182 | ||
| 183 | current_value = 0; | |
| 184 | last_operator_index = step; | |
| 185 | last_operator = '-'; | |
| 186 | } | |
| 187 | else | |
| 188 | {
| |
| 189 | /// error the binary string not found | |
| 190 | sum = 999999; | |
| 191 | break; | |
| 192 | } | |
| 193 | gen_str += 4; | |
| 194 | } | |
| 195 | ||
| 196 | if (last_operator == '+') | |
| 197 | {
| |
| 198 | sum += current_value; | |
| 199 | } | |
| 200 | else if (last_operator == '-') | |
| 201 | {
| |
| 202 | sum -= current_value; | |
| 203 | } | |
| 204 | ||
| 205 | // abs, because fitness is unsigned integer ^_^ | |
| 206 | population[index].fitness = abs (sum - TARGET); | |
| 207 | } | |
| 208 | } | |
| 209 | ||
| 210 | /** | |
| 211 | * sort function needed by quick sort | |
| 212 | */ | |
| 213 | int | |
| 214 | sort_func (const void *e1, const void *e2) | |
| 215 | {
| |
| 216 | return ((ga_struct *) e1)->fitness - ((ga_struct *) e2)->fitness; | |
| 217 | } | |
| 218 | ||
| 219 | /** | |
| 220 | * sort population by fitness | |
| 221 | */ | |
| 222 | inline void | |
| 223 | sort_by_fitness (ga_struct * population) | |
| 224 | {
| |
| 225 | qsort (population, POPSIZE, sizeof (ga_struct), sort_func); | |
| 226 | } | |
| 227 | ||
| 228 | /** | |
| 229 | * select elit element in top array after sort | |
| 230 | */ | |
| 231 | void | |
| 232 | elitism (ga_struct * population, ga_struct * beta_population, int esize) | |
| 233 | {
| |
| 234 | const int gen_len = ELEMENTS * 4 + 1; | |
| 235 | int index = 0; | |
| 236 | for (; index < esize; index++) | |
| 237 | {
| |
| 238 | int e = 0; | |
| 239 | for (; e < gen_len; e++) | |
| 240 | {
| |
| 241 | beta_population[index].gen[e] = population[index].gen[e]; | |
| 242 | } | |
| 243 | } | |
| 244 | } | |
| 245 | ||
| 246 | /** | |
| 247 | * mutate an individual with random rate | |
| 248 | */ | |
| 249 | void | |
| 250 | mutate (ga_struct * member) | |
| 251 | {
| |
| 252 | int tsize = strlen (member->gen); | |
| 253 | int number_of_mutations = rand () % 10; | |
| 254 | int m = 0; | |
| 255 | for (; m < number_of_mutations; m++) | |
| 256 | {
| |
| 257 | int apos = rand () % tsize; | |
| 258 | ||
| 259 | if (member->gen[apos] == '0') | |
| 260 | {
| |
| 261 | member->gen[apos] = '1'; | |
| 262 | } | |
| 263 | else | |
| 264 | {
| |
| 265 | member->gen[apos] = '0'; | |
| 266 | } | |
| 267 | } | |
| 268 | } | |
| 269 | ||
| 270 | /** | |
| 271 | * mate randomly the rest of population after elitism | |
| 272 | */ | |
| 273 | void | |
| 274 | mate (ga_struct * population, ga_struct * beta_population) | |
| 275 | {
| |
| 276 | int esize = POPSIZE * ELITRATE; | |
| 277 | ||
| 278 | // elitism of top elements in array | |
| 279 | elitism (population, beta_population, esize); | |
| 280 | ||
| 281 | // mate the rest of shitty population xD | |
| 282 | int m = esize, i1 = -1, i2 = -1, pos = -1, tsize = ELEMENTS * 4 + 1; | |
| 283 | for (; m < POPSIZE; m++) | |
| 284 | {
| |
| 285 | pos = rand () % tsize; | |
| 286 | i1 = rand () % POPSIZE; | |
| 287 | i2 = rand () % POPSIZE; | |
| 288 | ||
| 289 | int i = 0; | |
| 290 | for (; i < pos; i++) | |
| 291 | {
| |
| 292 | beta_population[m].gen[i] = population[i1].gen[i]; | |
| 293 | } | |
| 294 | for (i = pos; i < tsize; i++) | |
| 295 | {
| |
| 296 | beta_population[m].gen[i] = population[i2].gen[i]; | |
| 297 | } | |
| 298 | ||
| 299 | if (rand () < MUTATION) | |
| 300 | {
| |
| 301 | mutate (&beta_population[m]); | |
| 302 | } | |
| 303 | } | |
| 304 | } | |
| 305 | ||
| 306 | /** | |
| 307 | * decode binary string to readable format | |
| 308 | */ | |
| 309 | void | |
| 310 | decode_gen (ga_struct * member) | |
| 311 | {
| |
| 312 | char *gen_str = member->gen; | |
| 313 | int step = 0; | |
| 314 | ||
| 315 | for (; step < ELEMENTS; step++) | |
| 316 | {
| |
| 317 | char element[5] = "\0"; | |
| 318 | strncpy (element, gen_str, 4); | |
| 319 | if (strcmp ("0000", element) == 0)
| |
| 320 | {
| |
| 321 | printf ("0");
| |
| 322 | } | |
| 323 | else if (strcmp ("0001", element) == 0)
| |
| 324 | {
| |
| 325 | printf ("1");
| |
| 326 | } | |
| 327 | else if (strcmp ("0010", element) == 0)
| |
| 328 | {
| |
| 329 | printf ("2");
| |
| 330 | } | |
| 331 | else if (strcmp ("0011", element) == 0)
| |
| 332 | {
| |
| 333 | printf ("3");
| |
| 334 | } | |
| 335 | else if (strcmp ("0100", element) == 0)
| |
| 336 | {
| |
| 337 | printf ("4");
| |
| 338 | } | |
| 339 | else if (strcmp ("0101", element) == 0)
| |
| 340 | {
| |
| 341 | printf ("5");
| |
| 342 | } | |
| 343 | else if (strcmp ("0110", element) == 0)
| |
| 344 | {
| |
| 345 | printf ("6");
| |
| 346 | } | |
| 347 | else if (strcmp ("0111", element) == 0)
| |
| 348 | {
| |
| 349 | printf ("7");
| |
| 350 | } | |
| 351 | else if (strcmp ("1000", element) == 0)
| |
| 352 | {
| |
| 353 | printf ("8");
| |
| 354 | } | |
| 355 | else if (strcmp ("1001", element) == 0)
| |
| 356 | {
| |
| 357 | printf ("9");
| |
| 358 | } | |
| 359 | else if (strcmp ("1010", element) == 0)
| |
| 360 | {
| |
| 361 | printf ("+");
| |
| 362 | } | |
| 363 | else if (strcmp ("1011", element) == 0)
| |
| 364 | {
| |
| 365 | printf ("-");
| |
| 366 | } | |
| 367 | gen_str += 4; | |
| 368 | } | |
| 369 | ||
| 370 | printf ("\n");
| |
| 371 | } | |
| 372 | ||
| 373 | /** | |
| 374 | * free memory before exit program | |
| 375 | */ | |
| 376 | void | |
| 377 | free_population (ga_struct * population) | |
| 378 | {
| |
| 379 | int index = 0; | |
| 380 | for (; index < POPSIZE; index++) | |
| 381 | {
| |
| 382 | free (population[index].gen); | |
| 383 | } | |
| 384 | free (population); | |
| 385 | } | |
| 386 | ||
| 387 | /** | |
| 388 | * swap arrays pointers | |
| 389 | */ | |
| 390 | void | |
| 391 | swap (ga_struct ** p1, ga_struct ** p2) | |
| 392 | {
| |
| 393 | ga_struct *tmp = *p1; | |
| 394 | *p1 = *p2; | |
| 395 | *p2 = tmp; | |
| 396 | } | |
| 397 | ||
| 398 | /** | |
| 399 | * main program | |
| 400 | */ | |
| 401 | int | |
| 402 | main (void) | |
| 403 | {
| |
| 404 | srand (time (NULL)); | |
| 405 | ||
| 406 | ga_struct *population = malloc (sizeof (ga_struct) * POPSIZE); | |
| 407 | ga_struct *beta_population = malloc (sizeof (ga_struct) * POPSIZE); | |
| 408 | ||
| 409 | init_population (population, beta_population); | |
| 410 | ||
| 411 | int index = 0; | |
| 412 | for (; index < POPSIZE; index++) | |
| 413 | {
| |
| 414 | cal_fitness (population); | |
| 415 | sort_by_fitness (population); | |
| 416 | ||
| 417 | // print current best individual | |
| 418 | printf ("binary string: %s - fitness: %d\n", population[0].gen,
| |
| 419 | population[0].fitness); | |
| 420 | ||
| 421 | if (population[0].fitness == 0) | |
| 422 | {
| |
| 423 | //~ print equation | |
| 424 | decode_gen (&population[0]); | |
| 425 | break; | |
| 426 | } | |
| 427 | ||
| 428 | mate (population, beta_population); | |
| 429 | swap (&population, &beta_population); | |
| 430 | } | |
| 431 | ||
| 432 | free_population (population); | |
| 433 | free_population (beta_population); | |
| 434 | ||
| 435 | return 0; | |
| 436 | } |