int main(int argc, char **argv) { int idx = 0; char *buffer; char path[MAXPATHLEN]; setprogname(argv[0]); if(getarg(args, sizeof(args) / sizeof(args[0]), argc, argv, &idx)) usage(1); if (help_flag) usage(0); if(version_flag){ print_version(NULL); exit(0); } argc -= idx; argv += idx; if (argc != 0) usage(1); buffer = emalloc(len); if (rand_method) { if (0) { } #ifndef NO_RAND_FORTUNA_METHOD else if (strcasecmp(rand_method, "fortuna") == 0) RAND_set_rand_method(RAND_fortuna_method()); #endif #ifndef NO_RAND_UNIX_METHOD else if (strcasecmp(rand_method, "unix") == 0) RAND_set_rand_method(RAND_unix_method()); #endif #ifndef NO_RAND_EGD_METHOD else if (strcasecmp(rand_method, "egd") == 0) RAND_set_rand_method(RAND_egd_method()); #endif #ifdef WIN32 else if (strcasecmp(rand_method, "w32crypto") == 0) RAND_set_rand_method(RAND_w32crypto_method()); #endif else errx(1, "unknown method %s", rand_method); } if (RAND_file_name(path, sizeof(path)) == NULL) errx(1, "RAND_file_name failed"); if (RAND_status() != 1) errx(1, "random not ready yet"); if (RAND_bytes(buffer, len) != 1) errx(1, "RAND_bytes"); if (filename) rk_dumpdata(filename, buffer, len); /* head vs tail */ if (len >= 100000) { int bit, i; double res; int bits[8] = { 0, 0, 0, 0, 0, 0, 0, 0 }; for (i = 0; i < len; i++) { unsigned char c = ((unsigned char *)buffer)[i]; for (bit = 0; bit < 8 && c; bit++) { if (c & 1) bits[bit]++; c = c >> 1; } } for (bit = 0; bit < 8; bit++) { res = ((double)abs(len - bits[bit] * 2)) / (double)len; if (res > 0.005) errx(1, "head%d vs tail%d > 0.5%%%% %lf == %d vs %d", bit, bit, res, len, bits[bit]); printf("head vs tails bit%d: %lf\n", bit, res); } }
int main(int argc, char **argv) { int idx = 0; char *buffer; char path[MAXPATHLEN]; setprogname(argv[0]); if(getarg(args, sizeof(args) / sizeof(args[0]), argc, argv, &idx)) usage(1); if (help_flag) usage(0); if(version_flag){ print_version(NULL); exit(0); } if (argc != idx) usage(1); buffer = emalloc(len); if (rand_method) { if (0) { } #ifndef NO_RAND_FORTUNA_METHOD else if (strcasecmp(rand_method, "fortuna") == 0) RAND_set_rand_method(RAND_fortuna_method()); #endif #ifndef NO_RAND_UNIX_METHOD else if (strcasecmp(rand_method, "unix") == 0) RAND_set_rand_method(RAND_unix_method()); #endif #ifdef WIN32 else if (strcasecmp(rand_method, "w32crypto") == 0) RAND_set_rand_method(RAND_w32crypto_method()); #endif else errx(1, "unknown method %s", rand_method); } if (RAND_file_name(path, sizeof(path)) == NULL) errx(1, "RAND_file_name failed"); if (RAND_status() != 1) errx(1, "random not ready yet"); if (RAND_bytes(buffer, len) != 1) errx(1, "RAND_bytes"); if (filename) rk_dumpdata(filename, buffer, len); /* head vs tail */ if (len >= 100000) { unsigned bytes[256]; unsigned bits[8]; size_t bit, i; double res; double slen = sqrt((double)len); memset(bits, 0, sizeof(bits)); memset(bytes, 0, sizeof(bytes)); for (i = 0; i < len; i++) { unsigned char c = ((unsigned char *)buffer)[i]; bytes[c]++; for (bit = 0; bit < 8 && c; bit++) { if (c & 1) bits[bit]++; c = c >> 1; } } /* * The count for each bit value has a mean of n*p = len/2, * and a standard deviation of sqrt(n*p*q) ~ sqrt(len/4). * Normalizing by dividing by "n*p", we get a mean of 1 and * a standard deviation of sqrt(q/n*p) = 1/sqrt(len). * * A 5.33-sigma event happens 1 time in 10 million. * A 5.73-sigma event happens 1 time in 100 million. * A 6.11-sigma event happens 1 time in 1000 million. * * We tolerate 5.33-sigma events (we have 8 not entirely * independent chances of skewed results) and want to fail * with a good RNG less often than 1 time in million. */ for (bit = 0; bit < 8; bit++) { res = slen * fabs(1.0 - 2 * (double)bits[bit] / len); if (res > 5.33) errx(1, "head%d vs tail%d: %.1f-sigma (%d of %d)", (int)bit, (int)bit, res, bits[bit], len); printf("head vs tails bit%d: %f-sigma\n", (int)bit, res); } /* * The count of each byte value has a mean of n*p = len/256, * and a standard deviation of sqrt(n*p*q) ~ sqrt(len/256). * Normalizing by dividing by "n*p", we get a mean of 1 and * a standard deviation of sqrt(q/n*p) ~ 16/sqrt(len). * * We tolerate 5.73-sigma events (we have 256 not entirely * independent chances of skewed results). Note, for example, * a 5.2-sigma event was observed in ~5,000 runs. */ for (i = 0; i < 256; i++) { res = (slen / 16) * fabs(1.0 - 256 * (double)bytes[i] / len); if (res > 5.73) errx(1, "byte %d: %.1f-sigma (%d of %d)", (int) i, res, bytes[i], len); printf("byte %d: %f-sigma\n", (int)i, res); } }