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  1. /*
  2. * RTMP Diffie-Hellmann utilities
  3. * Copyright (c) 2009 Andrej Stepanchuk
  4. * Copyright (c) 2009-2010 Howard Chu
  5. * Copyright (c) 2012 Samuel Pitoiset
  6. *
  7. * This file is part of FFmpeg.
  8. *
  9. * FFmpeg is free software; you can redistribute it and/or
  10. * modify it under the terms of the GNU Lesser General Public
  11. * License as published by the Free Software Foundation; either
  12. * version 2.1 of the License, or (at your option) any later version.
  13. *
  14. * FFmpeg is distributed in the hope that it will be useful,
  15. * but WITHOUT ANY WARRANTY; without even the implied warranty of
  16. * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
  17. * Lesser General Public License for more details.
  18. *
  19. * You should have received a copy of the GNU Lesser General Public
  20. * License along with FFmpeg; if not, write to the Free Software
  21. * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
  22. */
  23. /**
  24. * @file
  25. * RTMP Diffie-Hellmann utilities
  26. */
  27. #include "config.h"
  28. #include "rtmpdh.h"
  29. #include "libavutil/random_seed.h"
  30. #define P1024 \
  31. "FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD1" \
  32. "29024E088A67CC74020BBEA63B139B22514A08798E3404DD" \
  33. "EF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245" \
  34. "E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7ED" \
  35. "EE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381" \
  36. "FFFFFFFFFFFFFFFF"
  37. #define Q1024 \
  38. "7FFFFFFFFFFFFFFFE487ED5110B4611A62633145C06E0E68" \
  39. "948127044533E63A0105DF531D89CD9128A5043CC71A026E" \
  40. "F7CA8CD9E69D218D98158536F92F8A1BA7F09AB6B6A8E122" \
  41. "F242DABB312F3F637A262174D31BF6B585FFAE5B7A035BF6" \
  42. "F71C35FDAD44CFD2D74F9208BE258FF324943328F67329C0" \
  43. "FFFFFFFFFFFFFFFF"
  44. #if CONFIG_NETTLE || CONFIG_GCRYPT
  45. #if CONFIG_NETTLE
  46. #define bn_new(bn) \
  47. do { \
  48. bn = av_malloc(sizeof(*bn)); \
  49. if (bn) \
  50. mpz_init2(bn, 1); \
  51. } while (0)
  52. #define bn_free(bn) \
  53. do { \
  54. mpz_clear(bn); \
  55. av_free(bn); \
  56. } while (0)
  57. #define bn_set_word(bn, w) mpz_set_ui(bn, w)
  58. #define bn_cmp(a, b) mpz_cmp(a, b)
  59. #define bn_copy(to, from) mpz_set(to, from)
  60. #define bn_sub_word(bn, w) mpz_sub_ui(bn, bn, w)
  61. #define bn_cmp_1(bn) mpz_cmp_ui(bn, 1)
  62. #define bn_num_bytes(bn) (mpz_sizeinbase(bn, 2) + 7) / 8
  63. #define bn_bn2bin(bn, buf, len) nettle_mpz_get_str_256(len, buf, bn)
  64. #define bn_bin2bn(bn, buf, len) \
  65. do { \
  66. bn_new(bn); \
  67. if (bn) \
  68. nettle_mpz_set_str_256_u(bn, len, buf); \
  69. } while (0)
  70. #define bn_hex2bn(bn, buf, ret) \
  71. do { \
  72. bn_new(bn); \
  73. if (bn) \
  74. ret = (mpz_set_str(bn, buf, 16) == 0); \
  75. else \
  76. ret = 1; \
  77. } while (0)
  78. #define bn_modexp(bn, y, q, p) mpz_powm(bn, y, q, p)
  79. #define bn_random(bn, num_bytes) \
  80. do { \
  81. gmp_randstate_t rs; \
  82. gmp_randinit_mt(rs); \
  83. gmp_randseed_ui(rs, av_get_random_seed()); \
  84. mpz_urandomb(bn, rs, num_bytes); \
  85. gmp_randclear(rs); \
  86. } while (0)
  87. #elif CONFIG_GCRYPT
  88. #define bn_new(bn) bn = gcry_mpi_new(1)
  89. #define bn_free(bn) gcry_mpi_release(bn)
  90. #define bn_set_word(bn, w) gcry_mpi_set_ui(bn, w)
  91. #define bn_cmp(a, b) gcry_mpi_cmp(a, b)
  92. #define bn_copy(to, from) gcry_mpi_set(to, from)
  93. #define bn_sub_word(bn, w) gcry_mpi_sub_ui(bn, bn, w)
  94. #define bn_cmp_1(bn) gcry_mpi_cmp_ui(bn, 1)
  95. #define bn_num_bytes(bn) (gcry_mpi_get_nbits(bn) + 7) / 8
  96. #define bn_bn2bin(bn, buf, len) gcry_mpi_print(GCRYMPI_FMT_USG, buf, len, NULL, bn)
  97. #define bn_bin2bn(bn, buf, len) gcry_mpi_scan(&bn, GCRYMPI_FMT_USG, buf, len, NULL)
  98. #define bn_hex2bn(bn, buf, ret) ret = (gcry_mpi_scan(&bn, GCRYMPI_FMT_HEX, buf, 0, 0) == 0)
  99. #define bn_modexp(bn, y, q, p) gcry_mpi_powm(bn, y, q, p)
  100. #define bn_random(bn, num_bytes) gcry_mpi_randomize(bn, num_bytes, GCRY_WEAK_RANDOM)
  101. #endif
  102. #define MAX_BYTES 18000
  103. #define dh_new() av_malloc(sizeof(FF_DH))
  104. static FFBigNum dh_generate_key(FF_DH *dh)
  105. {
  106. int num_bytes;
  107. num_bytes = bn_num_bytes(dh->p) - 1;
  108. if (num_bytes <= 0 || num_bytes > MAX_BYTES)
  109. return NULL;
  110. bn_new(dh->priv_key);
  111. if (!dh->priv_key)
  112. return NULL;
  113. bn_random(dh->priv_key, num_bytes);
  114. bn_new(dh->pub_key);
  115. if (!dh->pub_key) {
  116. bn_free(dh->priv_key);
  117. return NULL;
  118. }
  119. bn_modexp(dh->pub_key, dh->g, dh->priv_key, dh->p);
  120. return dh->pub_key;
  121. }
  122. static int dh_compute_key(FF_DH *dh, FFBigNum pub_key_bn,
  123. uint32_t secret_key_len, uint8_t *secret_key)
  124. {
  125. FFBigNum k;
  126. bn_new(k);
  127. if (!k)
  128. return -1;
  129. bn_modexp(k, pub_key_bn, dh->priv_key, dh->p);
  130. bn_bn2bin(k, secret_key, secret_key_len);
  131. bn_free(k);
  132. /* return the length of the shared secret key like DH_compute_key */
  133. return secret_key_len;
  134. }
  135. void ff_dh_free(FF_DH *dh)
  136. {
  137. if (!dh)
  138. return;
  139. bn_free(dh->p);
  140. bn_free(dh->g);
  141. bn_free(dh->pub_key);
  142. bn_free(dh->priv_key);
  143. av_free(dh);
  144. }
  145. #elif CONFIG_OPENSSL
  146. #define bn_new(bn) bn = BN_new()
  147. #define bn_free(bn) BN_free(bn)
  148. #define bn_set_word(bn, w) BN_set_word(bn, w)
  149. #define bn_cmp(a, b) BN_cmp(a, b)
  150. #define bn_copy(to, from) BN_copy(to, from)
  151. #define bn_sub_word(bn, w) BN_sub_word(bn, w)
  152. #define bn_cmp_1(bn) BN_cmp(bn, BN_value_one())
  153. #define bn_num_bytes(bn) BN_num_bytes(bn)
  154. #define bn_bn2bin(bn, buf, len) BN_bn2bin(bn, buf)
  155. #define bn_bin2bn(bn, buf, len) bn = BN_bin2bn(buf, len, 0)
  156. #define bn_hex2bn(bn, buf, ret) ret = BN_hex2bn(&bn, buf)
  157. #define bn_modexp(bn, y, q, p) \
  158. do { \
  159. BN_CTX *ctx = BN_CTX_new(); \
  160. if (!ctx) \
  161. return AVERROR(ENOMEM); \
  162. if (!BN_mod_exp(bn, y, q, p, ctx)) { \
  163. BN_CTX_free(ctx); \
  164. return AVERROR(EINVAL); \
  165. } \
  166. BN_CTX_free(ctx); \
  167. } while (0)
  168. #define dh_new() DH_new()
  169. #define dh_generate_key(dh) DH_generate_key(dh)
  170. static int dh_compute_key(FF_DH *dh, FFBigNum pub_key_bn,
  171. uint32_t secret_key_len, uint8_t *secret_key)
  172. {
  173. if (secret_key_len < DH_size(dh))
  174. return AVERROR(EINVAL);
  175. return DH_compute_key(secret_key, pub_key_bn, dh);
  176. }
  177. void ff_dh_free(FF_DH *dh)
  178. {
  179. if (!dh)
  180. return;
  181. DH_free(dh);
  182. }
  183. #endif
  184. static int dh_is_valid_public_key(FFBigNum y, FFBigNum p, FFBigNum q)
  185. {
  186. FFBigNum bn = NULL;
  187. int ret = AVERROR(EINVAL);
  188. bn_new(bn);
  189. if (!bn)
  190. return AVERROR(ENOMEM);
  191. /* y must lie in [2, p - 1] */
  192. bn_set_word(bn, 1);
  193. if (!bn_cmp(y, bn))
  194. goto fail;
  195. /* bn = p - 2 */
  196. bn_copy(bn, p);
  197. bn_sub_word(bn, 1);
  198. if (!bn_cmp(y, bn))
  199. goto fail;
  200. /* Verify with Sophie-Germain prime
  201. *
  202. * This is a nice test to make sure the public key position is calculated
  203. * correctly. This test will fail in about 50% of the cases if applied to
  204. * random data.
  205. */
  206. /* y must fulfill y^q mod p = 1 */
  207. bn_modexp(bn, y, q, p);
  208. if (bn_cmp_1(bn))
  209. goto fail;
  210. ret = 0;
  211. fail:
  212. bn_free(bn);
  213. return ret;
  214. }
  215. av_cold FF_DH *ff_dh_init(int key_len)
  216. {
  217. FF_DH *dh;
  218. int ret;
  219. if (!(dh = dh_new()))
  220. return NULL;
  221. bn_new(dh->g);
  222. if (!dh->g)
  223. goto fail;
  224. bn_hex2bn(dh->p, P1024, ret);
  225. if (!ret)
  226. goto fail;
  227. bn_set_word(dh->g, 2);
  228. dh->length = key_len;
  229. return dh;
  230. fail:
  231. ff_dh_free(dh);
  232. return NULL;
  233. }
  234. int ff_dh_generate_public_key(FF_DH *dh)
  235. {
  236. int ret = 0;
  237. while (!ret) {
  238. FFBigNum q1 = NULL;
  239. if (!dh_generate_key(dh))
  240. return AVERROR(EINVAL);
  241. bn_hex2bn(q1, Q1024, ret);
  242. if (!ret)
  243. return AVERROR(ENOMEM);
  244. ret = dh_is_valid_public_key(dh->pub_key, dh->p, q1);
  245. bn_free(q1);
  246. if (!ret) {
  247. /* the public key is valid */
  248. break;
  249. }
  250. }
  251. return ret;
  252. }
  253. int ff_dh_write_public_key(FF_DH *dh, uint8_t *pub_key, int pub_key_len)
  254. {
  255. int len;
  256. /* compute the length of the public key */
  257. len = bn_num_bytes(dh->pub_key);
  258. if (len <= 0 || len > pub_key_len)
  259. return AVERROR(EINVAL);
  260. /* convert the public key value into big-endian form */
  261. memset(pub_key, 0, pub_key_len);
  262. bn_bn2bin(dh->pub_key, pub_key + pub_key_len - len, len);
  263. return 0;
  264. }
  265. int ff_dh_compute_shared_secret_key(FF_DH *dh, const uint8_t *pub_key,
  266. int pub_key_len, uint8_t *secret_key,
  267. int secret_key_len)
  268. {
  269. FFBigNum q1 = NULL, pub_key_bn = NULL;
  270. int ret;
  271. /* convert the big-endian form of the public key into a bignum */
  272. bn_bin2bn(pub_key_bn, pub_key, pub_key_len);
  273. if (!pub_key_bn)
  274. return AVERROR(ENOMEM);
  275. /* convert the string containing a hexadecimal number into a bignum */
  276. bn_hex2bn(q1, Q1024, ret);
  277. if (!ret) {
  278. ret = AVERROR(ENOMEM);
  279. goto fail;
  280. }
  281. /* when the public key is valid we have to compute the shared secret key */
  282. if ((ret = dh_is_valid_public_key(pub_key_bn, dh->p, q1)) < 0) {
  283. goto fail;
  284. } else if ((ret = dh_compute_key(dh, pub_key_bn, secret_key_len,
  285. secret_key)) < 0) {
  286. ret = AVERROR(EINVAL);
  287. goto fail;
  288. }
  289. fail:
  290. bn_free(pub_key_bn);
  291. bn_free(q1);
  292. return ret;
  293. }
  294. #ifdef TEST
  295. static int test_random_shared_secret(void)
  296. {
  297. FF_DH *peer1 = NULL, *peer2 = NULL;
  298. int ret;
  299. uint8_t pubkey1[128], pubkey2[128];
  300. uint8_t sharedkey1[128], sharedkey2[128];
  301. peer1 = ff_dh_init(1024);
  302. peer2 = ff_dh_init(1024);
  303. if (!peer1 || !peer2) {
  304. ret = AVERROR(ENOMEM);
  305. goto fail;
  306. }
  307. if ((ret = ff_dh_generate_public_key(peer1)) < 0)
  308. goto fail;
  309. if ((ret = ff_dh_generate_public_key(peer2)) < 0)
  310. goto fail;
  311. if ((ret = ff_dh_write_public_key(peer1, pubkey1, sizeof(pubkey1))) < 0)
  312. goto fail;
  313. if ((ret = ff_dh_write_public_key(peer2, pubkey2, sizeof(pubkey2))) < 0)
  314. goto fail;
  315. if ((ret = ff_dh_compute_shared_secret_key(peer1, pubkey2, sizeof(pubkey2),
  316. sharedkey1, sizeof(sharedkey1))) < 0)
  317. goto fail;
  318. if ((ret = ff_dh_compute_shared_secret_key(peer2, pubkey1, sizeof(pubkey1),
  319. sharedkey2, sizeof(sharedkey2))) < 0)
  320. goto fail;
  321. if (memcmp(sharedkey1, sharedkey2, sizeof(sharedkey1))) {
  322. printf("Mismatched generated shared key\n");
  323. ret = AVERROR_INVALIDDATA;
  324. } else {
  325. printf("Generated shared key ok\n");
  326. }
  327. fail:
  328. ff_dh_free(peer1);
  329. ff_dh_free(peer2);
  330. return ret;
  331. }
  332. static const char *private_key =
  333. "976C18FCADC255B456564F74F3EEDA59D28AF6B744D743F2357BFD2404797EF896EF1A"
  334. "7C1CBEAAA3AB60AF3192D189CFF3F991C9CBBFD78119FCA2181384B94011943B6D6F28"
  335. "9E1B708E2D1A0C7771169293F03DA27E561F15F16F0AC9BC858C77A80FA98FD088A232"
  336. "19D08BE6F165DE0B02034B18705829FAD0ACB26A5B75EF";
  337. static const char *public_key =
  338. "F272ECF8362257C5D2C3CC2229CF9C0A03225BC109B1DBC76A68C394F256ACA3EF5F64"
  339. "FC270C26382BF315C19E97A76104A716FC998A651E8610A3AE6CF65D8FAE5D3F32EEA0"
  340. "0B32CB9609B494116A825D7142D17B88E3D20EDD98743DE29CF37A23A9F6A58B960591"
  341. "3157D5965FCB46DDA73A1F08DD897BAE88DFE6FC937CBA";
  342. static const uint8_t public_key_bin[] = {
  343. 0xf2, 0x72, 0xec, 0xf8, 0x36, 0x22, 0x57, 0xc5, 0xd2, 0xc3, 0xcc, 0x22,
  344. 0x29, 0xcf, 0x9c, 0x0a, 0x03, 0x22, 0x5b, 0xc1, 0x09, 0xb1, 0xdb, 0xc7,
  345. 0x6a, 0x68, 0xc3, 0x94, 0xf2, 0x56, 0xac, 0xa3, 0xef, 0x5f, 0x64, 0xfc,
  346. 0x27, 0x0c, 0x26, 0x38, 0x2b, 0xf3, 0x15, 0xc1, 0x9e, 0x97, 0xa7, 0x61,
  347. 0x04, 0xa7, 0x16, 0xfc, 0x99, 0x8a, 0x65, 0x1e, 0x86, 0x10, 0xa3, 0xae,
  348. 0x6c, 0xf6, 0x5d, 0x8f, 0xae, 0x5d, 0x3f, 0x32, 0xee, 0xa0, 0x0b, 0x32,
  349. 0xcb, 0x96, 0x09, 0xb4, 0x94, 0x11, 0x6a, 0x82, 0x5d, 0x71, 0x42, 0xd1,
  350. 0x7b, 0x88, 0xe3, 0xd2, 0x0e, 0xdd, 0x98, 0x74, 0x3d, 0xe2, 0x9c, 0xf3,
  351. 0x7a, 0x23, 0xa9, 0xf6, 0xa5, 0x8b, 0x96, 0x05, 0x91, 0x31, 0x57, 0xd5,
  352. 0x96, 0x5f, 0xcb, 0x46, 0xdd, 0xa7, 0x3a, 0x1f, 0x08, 0xdd, 0x89, 0x7b,
  353. 0xae, 0x88, 0xdf, 0xe6, 0xfc, 0x93, 0x7c, 0xba
  354. };
  355. static const uint8_t peer_public_key[] = {
  356. 0x58, 0x66, 0x05, 0x49, 0x94, 0x23, 0x2b, 0x66, 0x52, 0x13, 0xff, 0x46,
  357. 0xf2, 0xb3, 0x79, 0xa9, 0xee, 0xae, 0x1a, 0x13, 0xf0, 0x71, 0x52, 0xfb,
  358. 0x93, 0x4e, 0xee, 0x97, 0x05, 0x73, 0x50, 0x7d, 0xaf, 0x02, 0x07, 0x72,
  359. 0xac, 0xdc, 0xa3, 0x95, 0x78, 0xee, 0x9a, 0x19, 0x71, 0x7e, 0x99, 0x9f,
  360. 0x2a, 0xd4, 0xb3, 0xe2, 0x0c, 0x1d, 0x1a, 0x78, 0x4c, 0xde, 0xf1, 0xad,
  361. 0xb4, 0x60, 0xa8, 0x51, 0xac, 0x71, 0xec, 0x86, 0x70, 0xa2, 0x63, 0x36,
  362. 0x92, 0x7c, 0xe3, 0x87, 0xee, 0xe4, 0xf1, 0x62, 0x24, 0x74, 0xb4, 0x04,
  363. 0xfa, 0x5c, 0xdf, 0xba, 0xfa, 0xa3, 0xc2, 0xbb, 0x62, 0x27, 0xd0, 0xf4,
  364. 0xe4, 0x43, 0xda, 0x8a, 0x88, 0x69, 0x60, 0xe2, 0xdb, 0x75, 0x2a, 0x98,
  365. 0x9d, 0xb5, 0x50, 0xe3, 0x99, 0xda, 0xe0, 0xa6, 0x14, 0xc9, 0x80, 0x12,
  366. 0xf9, 0x3c, 0xac, 0x06, 0x02, 0x7a, 0xde, 0x74
  367. };
  368. static const uint8_t shared_secret[] = {
  369. 0xb2, 0xeb, 0xcb, 0x71, 0xf3, 0x61, 0xfb, 0x5b, 0x4e, 0x5c, 0x4c, 0xcf,
  370. 0x5c, 0x08, 0x5f, 0x96, 0x26, 0x77, 0x1d, 0x31, 0xf1, 0xe1, 0xf7, 0x4b,
  371. 0x92, 0xac, 0x82, 0x2a, 0x88, 0xc7, 0x83, 0xe1, 0xc7, 0xf3, 0xd3, 0x1a,
  372. 0x7d, 0xc8, 0x31, 0xe3, 0x97, 0xe4, 0xec, 0x31, 0x0e, 0x8f, 0x73, 0x1a,
  373. 0xe4, 0xf6, 0xd8, 0xc8, 0x94, 0xff, 0xa0, 0x03, 0x84, 0x03, 0x0f, 0xa5,
  374. 0x30, 0x5d, 0x67, 0xe0, 0x7a, 0x3b, 0x5f, 0xed, 0x4c, 0xf5, 0xbc, 0x18,
  375. 0xea, 0xd4, 0x77, 0xa9, 0x07, 0xb3, 0x54, 0x0b, 0x02, 0xd9, 0xc6, 0xb8,
  376. 0x66, 0x5e, 0xec, 0xa4, 0xcd, 0x47, 0xed, 0xc9, 0x38, 0xc6, 0x91, 0x08,
  377. 0xf3, 0x85, 0x9b, 0x69, 0x16, 0x78, 0x0d, 0xb7, 0x74, 0x51, 0xaa, 0x5b,
  378. 0x4d, 0x74, 0xe4, 0x29, 0x2e, 0x9e, 0x8e, 0xf7, 0xe5, 0x42, 0x83, 0xb0,
  379. 0x65, 0xb0, 0xce, 0xc6, 0xb2, 0x8f, 0x5b, 0xb0
  380. };
  381. static int test_ref_data(void)
  382. {
  383. FF_DH *dh;
  384. int ret = AVERROR(ENOMEM);
  385. uint8_t pubkey_test[128];
  386. uint8_t sharedkey_test[128];
  387. dh = ff_dh_init(1024);
  388. if (!dh)
  389. goto fail;
  390. bn_hex2bn(dh->priv_key, private_key, ret);
  391. if (!ret)
  392. goto fail;
  393. bn_hex2bn(dh->pub_key, public_key, ret);
  394. if (!ret)
  395. goto fail;
  396. if ((ret = ff_dh_write_public_key(dh, pubkey_test, sizeof(pubkey_test))) < 0)
  397. goto fail;
  398. if (memcmp(pubkey_test, public_key_bin, sizeof(pubkey_test))) {
  399. printf("Mismatched generated public key\n");
  400. ret = AVERROR_INVALIDDATA;
  401. goto fail;
  402. } else {
  403. printf("Generated public key ok\n");
  404. }
  405. if ((ret = ff_dh_compute_shared_secret_key(dh, peer_public_key, sizeof(peer_public_key),
  406. sharedkey_test, sizeof(sharedkey_test))) < 0)
  407. goto fail;
  408. if (memcmp(shared_secret, sharedkey_test, sizeof(sharedkey_test))) {
  409. printf("Mismatched generated shared key\n");
  410. ret = AVERROR_INVALIDDATA;
  411. } else {
  412. printf("Generated shared key ok\n");
  413. }
  414. fail:
  415. ff_dh_free(dh);
  416. return ret;
  417. }
  418. int main(void)
  419. {
  420. if (test_random_shared_secret() < 0)
  421. return 1;
  422. if (test_ref_data() < 0)
  423. return 1;
  424. return 0;
  425. }
  426. #endif