/* * Copyright © 2012 Keith Packard * * This program is free software; you can redistribute it and/or modify * it 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. * * This program is distributed in the hope that it 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 this program; if not, write to the Free Software Foundation, Inc., * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA. */ #include #include #include #include #include #include #ifndef RANDOM_MAX #define RANDOM_MAX 0x7fffffff #endif static double rand_real(void) { return (double) random() / (double) RANDOM_MAX; } static double gaussian_random(double mean, double dev) { static int save_x_valid = 0; static double save_x; double x; if (save_x_valid) { x = save_x; save_x_valid = 0; } else { double w; double normal_x1, normal_x2; do { normal_x1 = 2 * rand_real () - 1; normal_x2 = 2 * rand_real () - 1; w = normal_x1*normal_x1 + normal_x2*normal_x2; } while (w >= 1 || w < 1E-30); w = sqrt(log(w)*(-2./w)); /* * normal_x1 and normal_x2 are independent normally * distributed variates */ x = normal_x1 * w; /* save normal_x2 for next call */ save_x = normal_x2 * w; save_x_valid = 1; } return x * dev + mean; } #define PREPARE_LEN(input_len) ((input_len) + AO_FEC_PREPARE_EXTRA) #define ENCODE_LEN(input_len) (PREPARE_LEN(input_len) * 2) #define DECODE_LEN(input_len) ((input_len) + AO_FEC_PREPARE_EXTRA) #define EXPAND_LEN(input_len) (ENCODE_LEN(input_len) * 8) static uint8_t ao_bit(uint8_t b) { if (b) return 0x00; return 0xff; } static int ao_expand(uint8_t *bits, int bits_len, uint8_t *bytes) { int i, bit; uint8_t b; for (i = 0; i < bits_len; i++) { b = bits[i]; for (bit = 7; bit >= 0; bit--) *bytes++ = ao_bit ((b >> bit) & 1); } return bits_len * 8; } static int ao_fuzz (uint8_t *in, int in_len, uint8_t *out, double dev) { int i; int errors = 0; int s; for (i = 0; i < in_len; i++) { double error = gaussian_random(0, dev); uint8_t byte = in[i]; if (error > 0) { if (error > 0xff) error = 0xff; if (error >= 0x80) errors++; if (byte < 0x80) byte += error; else byte -= error; } /* abcd efgh 8 * abcd efga 7 * abcd efab 6 * abcd eabc 5 * abcd abcd 4 * abca bcab 3 * abab abab 2 * aaaa aaaa 1 */ #define SAVE 8 #define SAVE_MASK (((1 << SAVE) - 1) << (8 - SAVE)) byte &= SAVE_MASK; for (s = SAVE; s < 8; s += SAVE) byte |= byte >> s; out[i] = byte; } return errors; } static uint8_t ao_random_data(uint8_t *out, uint8_t out_len) { uint8_t len = random() % (out_len + 1); uint8_t i; for (i = 0; i < len; i++) out[i] = random(); return len; } static uint8_t real_packet[] = { 0x40, 0x38, 0xcd, 0x38, 0x3d, 0x34, 0xca, 0x31, 0xc3, 0xc1, 0xc6, 0x35, 0xcc, 0x3a, 0x3c, 0x3c, 0x3d, 0x3c, 0x37, 0xc5, 0xc1, 0xc0, 0xc1, 0xc1, 0xc3, 0xc0, 0xc1, 0xc6, 0x38, 0x3b, 0xc6, 0xc0, 0xc6, 0x32, 0xc9, 0xc9, 0x34, 0xcf, 0x35, 0xcf, 0x3a, 0x3b, 0xc6, 0xc7, 0x35, 0xcf, 0x36, 0xce, 0x37, 0xc8, 0xc8, 0x3a, 0x3c, 0xc9, 0xc8, 0x3a, 0x3c, 0xcc, 0x32, 0xcd, 0x32, 0xce, 0x32, 0xc9, 0xc6, 0x37, 0x3e, 0x3d, 0xc8, 0xc3, 0xc6, 0x38, 0x3d, 0xcf, 0x34, 0x3d, 0x3b, 0xcb, 0x31, 0xca, 0x35, 0x38, 0xcb, 0x31, 0xcc, 0x31, 0x3b, 0xc7, 0xbf, 0xbe, 0xbe, 0xc3, 0x35, 0x38, 0xcb, 0x2f, 0xc9, 0xc2, 0x34, 0x3c, 0xcc, 0x31, 0xca, 0xc1, 0xc0, 0xc3, 0x33, 0x3f, 0x3f, 0x3e, 0x3c, 0xcc, 0x31, 0xcc, 0xc3, 0xc4, 0x32, 0xd1, 0x34, 0x3f, 0x3c, 0xcc, 0x31, 0xcc, 0xc3, 0x33, 0xd0, 0x31, 0xd1, 0x35, 0x3f, 0x3e, 0x3c, 0xca, 0xc5, 0x34, 0xcc, 0xc2, 0xc3, 0xc3, 0xc5, 0x36, 0x40, 0x3e, 0x41, 0x3e, 0x41, 0x3e, 0x3f, 0x41, 0x40, 0xce, 0xc5, 0x33, 0xcf, 0xc7, 0x36, 0xd2, 0x32, 0xd1, 0xc5, 0xc6, 0x35, 0xd4, 0x32, 0xd1, 0xc6, 0x34, 0x41, 0xd2, 0x30, 0xd0, 0xc2, 0xc2, 0xc5, 0x31, 0xd3, 0x31, 0xd1, 0xc7, 0x33, 0xd4, 0xc6, 0x34, 0x42, 0x40, 0x40, 0x40, 0x41, 0x41, 0xd2, 0xc4, 0xc4, 0x39, 0x3e, 0xce, 0x35, 0x3c, 0xcd, 0x31, 0x3d, 0xc8, 0xc3, 0x32, 0x3d, 0xcc, 0x2f, 0xce, 0x30, 0xd0, 0x2e, 0xcf, 0x30, 0x3d, 0x3c, 0x3c, 0x3a, 0xcb, 0xbf, 0xbf, 0xc1, 0x31, 0x3d, 0x3d, 0x3c, 0x3c, 0x3c, 0x3d, 0x3b, 0xcf, 0x2e, 0xd2, 0x2e, 0xd0, 0x2c, 0x3b, 0xd1, 0x2a, 0xcf, 0xbe, 0xc0, 0xc0, 0xbf, 0xc1, 0xc1, 0x2c, 0x3f, 0xd0, 0xc0, 0x2e, 0xd0, 0x31, 0xd2, 0xc2, 0x2f, 0x3e, 0x3e, 0x3d, 0xcf, 0x31, 0xcb, 0xc3, 0x32, 0xd1, 0xc4, 0x37, 0x3f, 0xce, 0xc4, 0x35, 0xd0, 0x33, 0x3f, 0xce, 0x31, 0x3c, 0x3b, 0xcc, 0x31, 0xcd, 0x2f, 0xd1, 0x32, 0x3a, 0x3b, 0xcb, 0xc1, 0xc0, 0x32, 0x3e, 0x3e, 0x3c, 0x3d, 0x3d, 0xce, 0x2d, 0xcd, 0xc3, 0xc2, 0x30, 0x3d, 0xcf, 0xc1, 0xc2, 0x30, 0xd0, 0xc4, 0x31, 0xd4, 0x30, 0x40, 0x3e, 0xd0, 0x2f, 0xd0, 0x2f, 0xd1, 0xc2, 0x2e, 0xd4, 0x2e, 0x3f, 0xce, 0xc2, 0x34, 0x3e, 0x3f, 0xd0, 0x30, 0xcf, 0x31, 0x3d, 0x3d, 0xcc, 0x2d, 0xcf, 0x2f, 0xcf, 0x2e, 0x3b, 0xcf, 0x2c, 0x3b, 0x3b, 0x3a, 0x3d, 0x38, 0xcc, 0x2d, 0x3b, 0xcc, 0xbe, 0x2d, 0xd1, 0x2c, 0x3c, 0x3d, 0xce, 0xc0, 0x2d, 0xd1, 0x2f, 0x3f, 0x3f, 0x3c, 0x3f, 0x3e, 0x3e, 0x3c, 0xd3, 0x2a, 0xd1, 0xc2, 0x2e, 0x3c, 0xd1, 0x2f, 0x3d, 0xd1, 0xbe, 0xc1, 0x2d, 0xd2, 0x2d, 0x3d, 0x3d, 0x3b, 0xcd, 0x31, 0xcc, 0x31, 0xce, 0x2e, 0x3d, 0x3e, 0x3a, 0xcd, 0x2d, 0xcc, 0xc1, 0xc1, 0xc3, 0x2e, 0x3f, 0x3f, 0x3c, 0xcf, 0xc0, 0x31, 0xd1, 0xc2, 0xc3, 0x33, 0xd2, 0xc7, 0x32, 0x40, 0xd3, 0xc4, 0xc4, 0x33, 0x40, 0x40, 0xd2, 0x2f, 0xd0, 0x2f, 0x3c, 0xd1, 0x2c, 0x3a, 0x3d, 0xd0, 0x2a, 0xd0, 0x28, 0xcf, 0xc3, 0x2c, 0xd2, 0x2d, 0xd3, 0xc3, 0xc3, 0x2e, 0x3e, 0x41, 0xd2, 0xc3, 0xc2, 0xc2, 0xc2, 0xc2, 0xc4, 0x32, 0xd2, 0x34, 0x3e, 0x3e, 0x3c, 0xd1, 0x30, 0x3d, 0x3c, 0xce, 0x2e, 0x3b, 0x38, 0xcb, 0xbe, 0xc1, 0x2e, 0x3e, 0x3c, 0x3d, 0xd1, 0x2c, 0x3b, 0x3b, 0xcd, 0xbf, 0x2d, 0xd0, 0x2f, 0xd0, 0x2d, 0xd1, 0x2d, 0x3d, 0xd0, 0x2b, 0x3b, 0xcf, 0x2b, 0x3a, 0xcc, 0xbc, 0xc1, 0x2a, 0x3c, 0xce, 0x28, 0xd1, 0x2a, 0x3c, 0x3a, 0xcf, 0xbf, 0x2b, 0x3e, 0x3c, 0xd2, 0x2b, 0x3d, 0x3a, 0x3a, 0xcf, 0x2c, 0xcc, 0xbe, 0xc1, 0xc0, 0xbf, 0xc1, 0x31, 0x3c, 0xce, 0xc0, 0xc1, 0xc0, 0xc1, 0x31, 0x3c, 0xd1, 0xc2, 0x2e, 0xd1, 0xc3, 0xc4, 0x30, 0x3f, 0xd3, 0x2c, 0xd3, 0xc2, 0x30, 0xd5, 0xc3, 0xc5, 0x30, 0xd5, 0xc4, 0xc5, 0xc5, 0x31, 0x41, 0xd4, 0xc4, 0x31, 0x40, 0xd4, 0x2d, 0xd5, 0xc0, 0xc3, 0x2c, 0x3f, 0x3e, 0x3f, 0x3f, 0x3f, 0xd6, 0x2c, 0x3e, 0xd2, 0x27, 0x37, 0xde, 0xc9, 0xe9, 0x2e, 0xc7, 0x3c, 0xd9, 0x07, 0xf3, 0x28, 0x8d, 0xa5, 0xc9, 0xca, 0xe7, 0xcb, 0xfc, 0xb3, 0x3c, 0xd4, 0xd3, 0x9a, 0xe7, 0x2c, 0xc8, 0xf8, 0x44, 0xb3, 0xb0, 0xfa, 0x1c, 0xbf, 0xc9, 0xff, 0xbb, 0x1d, 0x02, 0xdb, 0x45, 0xc1, 0x40, 0x1c, 0xec, 0x48, 0xda, 0x21, 0x4c, 0xe3, 0x38, 0xdf, 0x34, 0xd8, 0x35, 0xd8, 0x31, 0xd7, 0x30, 0xd4, 0x2f, 0xd6, 0x2d, 0xd5, 0x2b, 0xd5, 0x33, 0xce, 0x33, 0xce, 0x33, 0xd0, 0x34, 0xcf, 0x31, 0xcf, 0x30, 0xce, 0x30, 0xcf, 0x30, 0x3d, 0xce, 0x2f, 0xcf, 0xc2, 0x30, 0x3f, 0x3d, 0xcf, 0xc1, 0x31, 0xd0, 0xc5, 0xc4, 0x33, 0x41, 0x3e, 0xd1, 0x30, 0x3c, 0x3d, 0xce, 0x2f, 0xce, 0xc1, 0xc3, 0x2e, 0xd3, 0x30, 0x3e, 0x3e, 0x3c, 0x3f, 0x3c, 0xd1, 0xc0, 0xc0, 0xc0, 0xc1, 0xc2, 0xc0, 0xc1, 0xc3, 0x2c, 0x3f, 0xd2, 0xbe, 0xc1, 0x2e, 0xcf, 0xc4, 0x33, 0xd3, 0x34, 0xd0, 0x33, 0x3d, 0xcf, 0xc3, 0x32, 0xce, 0x33, 0xd2, 0x32, 0xce, 0xc5, 0x34, 0x40, 0xce, 0xc5, 0x32, 0x3e, 0xd0, 0x31, 0xd0, 0x2f, 0xd2, 0x30, 0xce, 0xc2, 0x33, 0x40, 0x3e, 0xd0, 0xc3, 0xc2, 0x2e, 0xd3, 0x31, 0xd0, 0xc7, 0x32, 0x40, 0x3e, 0xd3, 0x2f, 0xd3, 0x2e, 0xd0, 0x2d, 0xd3, 0x2d, 0xd3, 0x2f, 0x3c, 0x3d, 0xd1, 0x2a, 0x3b, 0xd1, 0x28, 0x3b, 0x3b, 0xc8, 0x31, 0x39, 0x3b, 0x38, 0xc6, 0xbf, 0x31, 0x3d, 0x3a, 0xca, 0xc0, 0x33, 0x3c, 0xca, 0xc0, 0xc1, 0xc1, 0xc2, 0x35, 0x3e, 0x3c, 0x3d, 0x3f, 0xcc, 0xc0, 0xc3, 0x31, 0xce, 0xc5, 0x33, 0xd0, 0xc4, 0x35, 0xd3, 0x33, 0xd3, 0x32, 0xd1, 0xc4, 0xc3, 0x35, 0xd3, 0xc6, 0xc4, 0x35, 0xd2, 0xc6, 0x35, 0x41, 0x41, 0xd4, 0x33, 0xd1, 0xc4, 0x30, 0x41, 0xd2, 0x30, 0x3e, 0xce, 0xc1, 0xc3, 0xc0, 0x31, 0xce, 0xc5, 0x34, 0x40, 0x3d, 0xd1, 0xc4, 0x32, 0x3e, 0xcf, 0xc2, 0xc3, 0x30, 0xd4, 0x32, 0x3e, 0x3f, 0x3e, 0x3f, 0x3e, 0xd0, 0xc2, 0x31, 0x3e, 0x3f, 0x3f, 0xd1, 0xc2, 0x2f, 0xd5, 0x2e, 0xd3, 0xc3, 0x2f, 0xd7, 0x30, 0x3e, 0xd2, 0x2c, 0x3e, 0x3c, 0xd0, 0xc1, 0xc1, 0xc3, 0xc0, 0xc3, 0x2c, 0xd4, 0xc2, 0x2e, 0x40, 0xd2, 0xc3, 0x2d, 0xd5, 0xc3, 0x2f, 0x42, 0x40, 0xd6, 0x2d, 0xd4, 0xc2, 0xc2, 0xc2, 0x32, 0xd4, 0xc3, 0xc5, 0xc4, 0x32, 0x40, 0xd3, 0x30, 0xd0, 0xc3, 0xc4, 0x30, 0xd3, 0xc5, 0xc5, 0xc4, 0xc4, 0x33, 0x40, 0x40, 0xd4, 0x2f, 0xd2, 0x2d, 0x3d, 0xd1, 0xc1, 0xc2, 0x2c, 0xd4, 0x2e, 0xd4, 0x2d, 0x3d, 0xd3, 0xc1, 0xc1, 0xc1, 0x2d, 0xd5, 0xc2, 0xc2, 0xc2, 0x2d, 0xd9, 0xc4, 0xc5, 0x2f, 0x43, 0x40, 0xd6, 0xd7, 0xd7, 0x2b, 0x3e, 0xd5, 0x29, 0x3d, 0xd4, 0x24, 0x3b, 0x3a, 0x3b, 0xce, 0x2a, 0x3a, 0xcc, 0xbe, 0x2d, 0x3b, 0x3b, 0x3d, 0x3b, 0x3b, 0xce, 0x2b, 0x3a, 0xcc, 0x2b, 0xd0, 0x2b, 0x3b, 0x3b, 0x39, 0xcf, 0xbf, 0x2a, 0xd1, 0xc0, 0x2f, 0x3e, 0xd0, 0x2d, 0x3a, 0xd1, 0xbe, 0x2b, 0xd2, 0xc3, 0xc2, 0xc0, 0x2d, 0xd7, 0x2c, 0xd7, 0xc2, 0xc3, 0x2f, 0x43, 0x41, 0x40, 0xd4, 0xc3, 0xc3, 0xc3, 0xc2, 0x2c, 0x40, 0xd7, 0x2a, 0x3d, 0xd3, 0x26, 0xd5, 0x2f, 0x3a, 0x3c, 0xca, 0xc3, 0x2c, 0xd3, 0x2e, 0x3c, 0x3d, 0x3d, 0x3d, 0xd0, 0xc2, 0x2e, 0xd3, 0x2e, 0xd1, 0xc5, 0x2e, 0x3f, 0xd3, 0x2e, 0x3c, 0xd1, 0xc0, 0xc2, 0x2a, 0xd2, 0xc2, 0xc4, 0x2e, 0xd7, 0x2e, 0x3e, 0xd3, 0xc1, 0xc3, 0xc1, 0x2d, 0x3f, 0xd3, 0xc2, 0x2c, 0x3f, 0xd3, 0x2b, 0x3b, 0xd1, 0xbf, 0xc1, 0xbe, 0x29, 0x3f, 0xd4, 0x29, 0xd5, 0xbf, 0x29, 0xd7, 0xc0, 0x2d, 0xd8, 0xc2, 0x33, 0x41, 0xd3, 0x30, 0x3d, 0xd0, 0x2c, 0xcf, 0xc1, 0xc1, 0xc2, 0x2e, 0x3f, 0xd3, 0x2b, 0xcf, 0xc3, 0x2f, 0x40, 0x3f, 0x3e, 0xd3, 0x2a, 0x3d, 0x3d, 0xce, 0xc1, 0x2b, 0x3d, 0xd0, 0x2b, 0xd3, 0x2b, 0x3b, 0x3d, 0xce, 0x29, 0x3b, 0x3b, 0x3b, 0xd1, 0xbe, 0x2b, 0xd2, 0x29, 0x3d, 0x3a, 0xd3, 0x29, 0x3a, 0x3b, 0x3b, 0xd2, 0x26, 0x3b, 0xd0, 0xbf, 0xbe, 0xbc, 0xbf, 0xbe, 0xbc, 0x27, 0x3d, 0x3a, 0x3c, 0xce, 0xc1, 0x2c, 0xd2, 0xc2, 0xc2, 0x2f, 0x40, 0xd2, 0xc2, 0xc2, 0x2e, 0x40, 0xd4, 0x2a, 0x3b, 0xcf, 0x2b, 0xd2, 0x2a, 0x3c, 0xd0, 0xc1, 0x2a, 0x3d, 0xd0, 0xc1, 0xc0, 0xbe, 0x2b, 0x3f, 0x3e, 0xd2, 0xc1, 0xc0, 0xc1, 0xc0, 0xc2, 0x2a, 0xd6, 0xc2, 0xc3, 0xc3, 0xc3, 0x2c, 0x3e, 0x41, 0xd6, 0xc0, 0xc3, 0xc2, 0xc2, 0x2a, 0xd9, 0x28, 0x3f, 0xd5, 0xc1, 0xc2, 0xc0, 0xc3, 0x28, 0xd5, 0xc2, 0xc5, 0x30, 0xd6, 0xc4, 0xc5, 0xc5, 0x31, 0x43, 0xd4, 0xc3, 0xc5, 0xc2, 0xc2, 0x2f, 0xd6, 0xc5, 0xc2, 0x2d, 0x41, 0x41, 0x43, 0x40, 0x41, 0xd8, 0x2a, 0x3f, 0x3f, 0x3e, 0x2c, 0x0a, 0x0d, 0x2a, 0xbb, 0x91, 0x5e, 0x2a, 0xca, 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("actual packet crc error\n"); ok = 0; } return ok; } #define EXPECT_DECODE_FAIL 0 #define EXPECT_CRC_MISMATCH 6386 #define EXPECT_DATA_MISMATCH 0 #define NOISE_AMOUNT 0x50 int main(int argc, char **argv) { int trial; uint8_t original[120]; uint8_t original_len; uint8_t encode[ENCODE_LEN(sizeof(original))]; int encode_len; uint8_t transmit[EXPAND_LEN(sizeof(original))]; int transmit_len; uint8_t receive[EXPAND_LEN(sizeof(original))]; int receive_len; uint8_t decode[DECODE_LEN(sizeof(original))]; int decode_ok; int errors = 0; int decode_fail = 0; int crc_mismatch = 0; int data_mismatch = 0; if (!ao_real_packet()) errors++; srandom(0); for (trial = 0; trial < 100000; trial++) { /* Compute some random data */ original_len = ao_random_data(original, sizeof(original)); /* Encode it */ encode_len = ao_fec_encode(original, original_len, encode); /* Expand from 1-bit-per-symbol to 1-byte-per-symbol */ transmit_len = ao_expand(encode, encode_len, transmit); /* Add gaussian noise to the signal */ (void) ao_fuzz(transmit, transmit_len, receive, NOISE_AMOUNT); receive_len = transmit_len; /* Decode it */ decode_ok = ao_fec_decode(receive, receive_len, decode, original_len + 2, NULL); /* Check to see if we received the right data */ if (!decode_ok) decode_fail++; else if (decode[original_len +1] != AO_FEC_DECODE_CRC_OK) crc_mismatch++; else if (memcmp(original, decode, original_len) != 0) data_mismatch++; } printf ("%d packets coded\n", trial); printf ("decode_fail %d crc_mismatch %d data_mismatch %d\n", decode_fail, crc_mismatch, data_mismatch); if (decode_fail != EXPECT_DECODE_FAIL) { printf ("expected %d decode failures\n", EXPECT_DECODE_FAIL); errors++; } if (crc_mismatch != EXPECT_CRC_MISMATCH) { printf ("expected %d crc mismatch\n", EXPECT_CRC_MISMATCH); errors++; } if (data_mismatch != EXPECT_DATA_MISMATCH) { printf ("expected %d data mismatch\n", EXPECT_DATA_MISMATCH); errors++; } return errors; }