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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 Libav.
  8. *
  9. * Libav 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. * Libav 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 Libav; 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_GMP || CONFIG_GCRYPT
  45. #if CONFIG_GMP
  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) \
  64. do { \
  65. memset(buf, 0, len); \
  66. if (bn_num_bytes(bn) <= len) \
  67. mpz_export(buf, NULL, 1, 1, 0, 0, bn); \
  68. } while (0)
  69. #define bn_bin2bn(bn, buf, len) \
  70. do { \
  71. bn_new(bn); \
  72. if (bn) \
  73. mpz_import(bn, len, 1, 1, 0, 0, buf); \
  74. } while (0)
  75. #define bn_hex2bn(bn, buf, ret) \
  76. do { \
  77. bn_new(bn); \
  78. if (bn) \
  79. ret = (mpz_set_str(bn, buf, 16) == 0); \
  80. else \
  81. ret = 1; \
  82. } while (0)
  83. #define bn_modexp(bn, y, q, p) mpz_powm(bn, y, q, p)
  84. #define bn_random(bn, num_bits) \
  85. do { \
  86. int bits = num_bits; \
  87. mpz_set_ui(bn, 0); \
  88. for (bits = num_bits; bits > 0; bits -= 32) { \
  89. mpz_mul_2exp(bn, bn, 32); \
  90. mpz_add_ui(bn, bn, av_get_random_seed()); \
  91. } \
  92. mpz_fdiv_r_2exp(bn, bn, num_bits); \
  93. } while (0)
  94. #elif CONFIG_GCRYPT
  95. #define bn_new(bn) bn = gcry_mpi_new(1)
  96. #define bn_free(bn) gcry_mpi_release(bn)
  97. #define bn_set_word(bn, w) gcry_mpi_set_ui(bn, w)
  98. #define bn_cmp(a, b) gcry_mpi_cmp(a, b)
  99. #define bn_copy(to, from) gcry_mpi_set(to, from)
  100. #define bn_sub_word(bn, w) gcry_mpi_sub_ui(bn, bn, w)
  101. #define bn_cmp_1(bn) gcry_mpi_cmp_ui(bn, 1)
  102. #define bn_num_bytes(bn) (gcry_mpi_get_nbits(bn) + 7) / 8
  103. #define bn_bn2bin(bn, buf, len) gcry_mpi_print(GCRYMPI_FMT_USG, buf, len, NULL, bn)
  104. #define bn_bin2bn(bn, buf, len) gcry_mpi_scan(&bn, GCRYMPI_FMT_USG, buf, len, NULL)
  105. #define bn_hex2bn(bn, buf, ret) ret = (gcry_mpi_scan(&bn, GCRYMPI_FMT_HEX, buf, 0, 0) == 0)
  106. #define bn_modexp(bn, y, q, p) gcry_mpi_powm(bn, y, q, p)
  107. #define bn_random(bn, num_bits) gcry_mpi_randomize(bn, num_bits, GCRY_WEAK_RANDOM)
  108. #endif
  109. #define MAX_BYTES 18000
  110. #define dh_new() av_malloc(sizeof(FF_DH))
  111. static FFBigNum dh_generate_key(FF_DH *dh)
  112. {
  113. int num_bytes;
  114. num_bytes = bn_num_bytes(dh->p) - 1;
  115. if (num_bytes <= 0 || num_bytes > MAX_BYTES)
  116. return NULL;
  117. bn_new(dh->priv_key);
  118. if (!dh->priv_key)
  119. return NULL;
  120. bn_random(dh->priv_key, 8 * num_bytes);
  121. bn_new(dh->pub_key);
  122. if (!dh->pub_key) {
  123. bn_free(dh->priv_key);
  124. return NULL;
  125. }
  126. bn_modexp(dh->pub_key, dh->g, dh->priv_key, dh->p);
  127. return dh->pub_key;
  128. }
  129. static int dh_compute_key(FF_DH *dh, FFBigNum pub_key_bn,
  130. uint32_t secret_key_len, uint8_t *secret_key)
  131. {
  132. FFBigNum k;
  133. bn_new(k);
  134. if (!k)
  135. return -1;
  136. bn_modexp(k, pub_key_bn, dh->priv_key, dh->p);
  137. bn_bn2bin(k, secret_key, secret_key_len);
  138. bn_free(k);
  139. /* return the length of the shared secret key like DH_compute_key */
  140. return secret_key_len;
  141. }
  142. void ff_dh_free(FF_DH *dh)
  143. {
  144. if (!dh)
  145. return;
  146. bn_free(dh->p);
  147. bn_free(dh->g);
  148. bn_free(dh->pub_key);
  149. bn_free(dh->priv_key);
  150. av_free(dh);
  151. }
  152. #elif CONFIG_OPENSSL
  153. #define bn_new(bn) bn = BN_new()
  154. #define bn_free(bn) BN_free(bn)
  155. #define bn_set_word(bn, w) BN_set_word(bn, w)
  156. #define bn_cmp(a, b) BN_cmp(a, b)
  157. #define bn_copy(to, from) BN_copy(to, from)
  158. #define bn_sub_word(bn, w) BN_sub_word(bn, w)
  159. #define bn_cmp_1(bn) BN_cmp(bn, BN_value_one())
  160. #define bn_num_bytes(bn) BN_num_bytes(bn)
  161. #define bn_bn2bin(bn, buf, len) BN_bn2bin(bn, buf)
  162. #define bn_bin2bn(bn, buf, len) bn = BN_bin2bn(buf, len, 0)
  163. #define bn_hex2bn(bn, buf, ret) ret = BN_hex2bn(&bn, buf)
  164. #define bn_modexp(bn, y, q, p) \
  165. do { \
  166. BN_CTX *ctx = BN_CTX_new(); \
  167. if (!ctx) \
  168. return AVERROR(ENOMEM); \
  169. if (!BN_mod_exp(bn, y, q, p, ctx)) { \
  170. BN_CTX_free(ctx); \
  171. return AVERROR(EINVAL); \
  172. } \
  173. BN_CTX_free(ctx); \
  174. } while (0)
  175. #define dh_new() DH_new()
  176. #define dh_generate_key(dh) DH_generate_key(dh)
  177. static int dh_compute_key(FF_DH *dh, FFBigNum pub_key_bn,
  178. uint32_t secret_key_len, uint8_t *secret_key)
  179. {
  180. if (secret_key_len < DH_size(dh))
  181. return AVERROR(EINVAL);
  182. return DH_compute_key(secret_key, pub_key_bn, dh);
  183. }
  184. void ff_dh_free(FF_DH *dh)
  185. {
  186. if (!dh)
  187. return;
  188. DH_free(dh);
  189. }
  190. #endif
  191. static int dh_is_valid_public_key(FFBigNum y, FFBigNum p, FFBigNum q)
  192. {
  193. FFBigNum bn = NULL;
  194. int ret = AVERROR(EINVAL);
  195. bn_new(bn);
  196. if (!bn)
  197. return AVERROR(ENOMEM);
  198. /* y must lie in [2, p - 1] */
  199. bn_set_word(bn, 1);
  200. if (!bn_cmp(y, bn))
  201. goto fail;
  202. /* bn = p - 2 */
  203. bn_copy(bn, p);
  204. bn_sub_word(bn, 1);
  205. if (!bn_cmp(y, bn))
  206. goto fail;
  207. /* Verify with Sophie-Germain prime
  208. *
  209. * This is a nice test to make sure the public key position is calculated
  210. * correctly. This test will fail in about 50% of the cases if applied to
  211. * random data.
  212. */
  213. /* y must fulfill y^q mod p = 1 */
  214. bn_modexp(bn, y, q, p);
  215. if (bn_cmp_1(bn))
  216. goto fail;
  217. ret = 0;
  218. fail:
  219. bn_free(bn);
  220. return ret;
  221. }
  222. av_cold FF_DH *ff_dh_init(int key_len)
  223. {
  224. FF_DH *dh;
  225. int ret;
  226. if (!(dh = dh_new()))
  227. return NULL;
  228. bn_new(dh->g);
  229. if (!dh->g)
  230. goto fail;
  231. bn_hex2bn(dh->p, P1024, ret);
  232. if (!ret)
  233. goto fail;
  234. bn_set_word(dh->g, 2);
  235. dh->length = key_len;
  236. return dh;
  237. fail:
  238. ff_dh_free(dh);
  239. return NULL;
  240. }
  241. int ff_dh_generate_public_key(FF_DH *dh)
  242. {
  243. int ret = 0;
  244. while (!ret) {
  245. FFBigNum q1 = NULL;
  246. if (!dh_generate_key(dh))
  247. return AVERROR(EINVAL);
  248. bn_hex2bn(q1, Q1024, ret);
  249. if (!ret)
  250. return AVERROR(ENOMEM);
  251. ret = dh_is_valid_public_key(dh->pub_key, dh->p, q1);
  252. bn_free(q1);
  253. if (!ret) {
  254. /* the public key is valid */
  255. break;
  256. }
  257. }
  258. return ret;
  259. }
  260. int ff_dh_write_public_key(FF_DH *dh, uint8_t *pub_key, int pub_key_len)
  261. {
  262. int len;
  263. /* compute the length of the public key */
  264. len = bn_num_bytes(dh->pub_key);
  265. if (len <= 0 || len > pub_key_len)
  266. return AVERROR(EINVAL);
  267. /* convert the public key value into big-endian form */
  268. memset(pub_key, 0, pub_key_len);
  269. bn_bn2bin(dh->pub_key, pub_key + pub_key_len - len, len);
  270. return 0;
  271. }
  272. int ff_dh_compute_shared_secret_key(FF_DH *dh, const uint8_t *pub_key,
  273. int pub_key_len, uint8_t *secret_key,
  274. int secret_key_len)
  275. {
  276. FFBigNum q1 = NULL, pub_key_bn = NULL;
  277. int ret;
  278. /* convert the big-endian form of the public key into a bignum */
  279. bn_bin2bn(pub_key_bn, pub_key, pub_key_len);
  280. if (!pub_key_bn)
  281. return AVERROR(ENOMEM);
  282. /* convert the string containing a hexadecimal number into a bignum */
  283. bn_hex2bn(q1, Q1024, ret);
  284. if (!ret) {
  285. ret = AVERROR(ENOMEM);
  286. goto fail;
  287. }
  288. /* when the public key is valid we have to compute the shared secret key */
  289. if ((ret = dh_is_valid_public_key(pub_key_bn, dh->p, q1)) < 0) {
  290. goto fail;
  291. } else if ((ret = dh_compute_key(dh, pub_key_bn, secret_key_len,
  292. secret_key)) < 0) {
  293. ret = AVERROR(EINVAL);
  294. goto fail;
  295. }
  296. fail:
  297. bn_free(pub_key_bn);
  298. bn_free(q1);
  299. return ret;
  300. }
  301. #ifdef TEST
  302. static int test_random_shared_secret(void)
  303. {
  304. FF_DH *peer1 = NULL, *peer2 = NULL;
  305. int ret;
  306. uint8_t pubkey1[128], pubkey2[128];
  307. uint8_t sharedkey1[128], sharedkey2[128];
  308. peer1 = ff_dh_init(1024);
  309. peer2 = ff_dh_init(1024);
  310. if (!peer1 || !peer2) {
  311. ret = AVERROR(ENOMEM);
  312. goto fail;
  313. }
  314. if ((ret = ff_dh_generate_public_key(peer1)) < 0)
  315. goto fail;
  316. if ((ret = ff_dh_generate_public_key(peer2)) < 0)
  317. goto fail;
  318. if ((ret = ff_dh_write_public_key(peer1, pubkey1, sizeof(pubkey1))) < 0)
  319. goto fail;
  320. if ((ret = ff_dh_write_public_key(peer2, pubkey2, sizeof(pubkey2))) < 0)
  321. goto fail;
  322. if ((ret = ff_dh_compute_shared_secret_key(peer1, pubkey2, sizeof(pubkey2),
  323. sharedkey1, sizeof(sharedkey1))) < 0)
  324. goto fail;
  325. if ((ret = ff_dh_compute_shared_secret_key(peer2, pubkey1, sizeof(pubkey1),
  326. sharedkey2, sizeof(sharedkey2))) < 0)
  327. goto fail;
  328. if (memcmp(sharedkey1, sharedkey2, sizeof(sharedkey1))) {
  329. printf("Mismatched generated shared key\n");
  330. ret = AVERROR_INVALIDDATA;
  331. } else {
  332. printf("Generated shared key ok\n");
  333. }
  334. fail:
  335. ff_dh_free(peer1);
  336. ff_dh_free(peer2);
  337. return ret;
  338. }
  339. static const char *private_key =
  340. "976C18FCADC255B456564F74F3EEDA59D28AF6B744D743F2357BFD2404797EF896EF1A"
  341. "7C1CBEAAA3AB60AF3192D189CFF3F991C9CBBFD78119FCA2181384B94011943B6D6F28"
  342. "9E1B708E2D1A0C7771169293F03DA27E561F15F16F0AC9BC858C77A80FA98FD088A232"
  343. "19D08BE6F165DE0B02034B18705829FAD0ACB26A5B75EF";
  344. static const char *public_key =
  345. "F272ECF8362257C5D2C3CC2229CF9C0A03225BC109B1DBC76A68C394F256ACA3EF5F64"
  346. "FC270C26382BF315C19E97A76104A716FC998A651E8610A3AE6CF65D8FAE5D3F32EEA0"
  347. "0B32CB9609B494116A825D7142D17B88E3D20EDD98743DE29CF37A23A9F6A58B960591"
  348. "3157D5965FCB46DDA73A1F08DD897BAE88DFE6FC937CBA";
  349. static const uint8_t public_key_bin[] = {
  350. 0xf2, 0x72, 0xec, 0xf8, 0x36, 0x22, 0x57, 0xc5, 0xd2, 0xc3, 0xcc, 0x22,
  351. 0x29, 0xcf, 0x9c, 0x0a, 0x03, 0x22, 0x5b, 0xc1, 0x09, 0xb1, 0xdb, 0xc7,
  352. 0x6a, 0x68, 0xc3, 0x94, 0xf2, 0x56, 0xac, 0xa3, 0xef, 0x5f, 0x64, 0xfc,
  353. 0x27, 0x0c, 0x26, 0x38, 0x2b, 0xf3, 0x15, 0xc1, 0x9e, 0x97, 0xa7, 0x61,
  354. 0x04, 0xa7, 0x16, 0xfc, 0x99, 0x8a, 0x65, 0x1e, 0x86, 0x10, 0xa3, 0xae,
  355. 0x6c, 0xf6, 0x5d, 0x8f, 0xae, 0x5d, 0x3f, 0x32, 0xee, 0xa0, 0x0b, 0x32,
  356. 0xcb, 0x96, 0x09, 0xb4, 0x94, 0x11, 0x6a, 0x82, 0x5d, 0x71, 0x42, 0xd1,
  357. 0x7b, 0x88, 0xe3, 0xd2, 0x0e, 0xdd, 0x98, 0x74, 0x3d, 0xe2, 0x9c, 0xf3,
  358. 0x7a, 0x23, 0xa9, 0xf6, 0xa5, 0x8b, 0x96, 0x05, 0x91, 0x31, 0x57, 0xd5,
  359. 0x96, 0x5f, 0xcb, 0x46, 0xdd, 0xa7, 0x3a, 0x1f, 0x08, 0xdd, 0x89, 0x7b,
  360. 0xae, 0x88, 0xdf, 0xe6, 0xfc, 0x93, 0x7c, 0xba
  361. };
  362. static const uint8_t peer_public_key[] = {
  363. 0x58, 0x66, 0x05, 0x49, 0x94, 0x23, 0x2b, 0x66, 0x52, 0x13, 0xff, 0x46,
  364. 0xf2, 0xb3, 0x79, 0xa9, 0xee, 0xae, 0x1a, 0x13, 0xf0, 0x71, 0x52, 0xfb,
  365. 0x93, 0x4e, 0xee, 0x97, 0x05, 0x73, 0x50, 0x7d, 0xaf, 0x02, 0x07, 0x72,
  366. 0xac, 0xdc, 0xa3, 0x95, 0x78, 0xee, 0x9a, 0x19, 0x71, 0x7e, 0x99, 0x9f,
  367. 0x2a, 0xd4, 0xb3, 0xe2, 0x0c, 0x1d, 0x1a, 0x78, 0x4c, 0xde, 0xf1, 0xad,
  368. 0xb4, 0x60, 0xa8, 0x51, 0xac, 0x71, 0xec, 0x86, 0x70, 0xa2, 0x63, 0x36,
  369. 0x92, 0x7c, 0xe3, 0x87, 0xee, 0xe4, 0xf1, 0x62, 0x24, 0x74, 0xb4, 0x04,
  370. 0xfa, 0x5c, 0xdf, 0xba, 0xfa, 0xa3, 0xc2, 0xbb, 0x62, 0x27, 0xd0, 0xf4,
  371. 0xe4, 0x43, 0xda, 0x8a, 0x88, 0x69, 0x60, 0xe2, 0xdb, 0x75, 0x2a, 0x98,
  372. 0x9d, 0xb5, 0x50, 0xe3, 0x99, 0xda, 0xe0, 0xa6, 0x14, 0xc9, 0x80, 0x12,
  373. 0xf9, 0x3c, 0xac, 0x06, 0x02, 0x7a, 0xde, 0x74
  374. };
  375. static const uint8_t shared_secret[] = {
  376. 0xb2, 0xeb, 0xcb, 0x71, 0xf3, 0x61, 0xfb, 0x5b, 0x4e, 0x5c, 0x4c, 0xcf,
  377. 0x5c, 0x08, 0x5f, 0x96, 0x26, 0x77, 0x1d, 0x31, 0xf1, 0xe1, 0xf7, 0x4b,
  378. 0x92, 0xac, 0x82, 0x2a, 0x88, 0xc7, 0x83, 0xe1, 0xc7, 0xf3, 0xd3, 0x1a,
  379. 0x7d, 0xc8, 0x31, 0xe3, 0x97, 0xe4, 0xec, 0x31, 0x0e, 0x8f, 0x73, 0x1a,
  380. 0xe4, 0xf6, 0xd8, 0xc8, 0x94, 0xff, 0xa0, 0x03, 0x84, 0x03, 0x0f, 0xa5,
  381. 0x30, 0x5d, 0x67, 0xe0, 0x7a, 0x3b, 0x5f, 0xed, 0x4c, 0xf5, 0xbc, 0x18,
  382. 0xea, 0xd4, 0x77, 0xa9, 0x07, 0xb3, 0x54, 0x0b, 0x02, 0xd9, 0xc6, 0xb8,
  383. 0x66, 0x5e, 0xec, 0xa4, 0xcd, 0x47, 0xed, 0xc9, 0x38, 0xc6, 0x91, 0x08,
  384. 0xf3, 0x85, 0x9b, 0x69, 0x16, 0x78, 0x0d, 0xb7, 0x74, 0x51, 0xaa, 0x5b,
  385. 0x4d, 0x74, 0xe4, 0x29, 0x2e, 0x9e, 0x8e, 0xf7, 0xe5, 0x42, 0x83, 0xb0,
  386. 0x65, 0xb0, 0xce, 0xc6, 0xb2, 0x8f, 0x5b, 0xb0
  387. };
  388. static int test_ref_data(void)
  389. {
  390. FF_DH *dh;
  391. int ret = AVERROR(ENOMEM);
  392. uint8_t pubkey_test[128];
  393. uint8_t sharedkey_test[128];
  394. dh = ff_dh_init(1024);
  395. if (!dh)
  396. goto fail;
  397. bn_hex2bn(dh->priv_key, private_key, ret);
  398. if (!ret)
  399. goto fail;
  400. bn_hex2bn(dh->pub_key, public_key, ret);
  401. if (!ret)
  402. goto fail;
  403. if ((ret = ff_dh_write_public_key(dh, pubkey_test, sizeof(pubkey_test))) < 0)
  404. goto fail;
  405. if (memcmp(pubkey_test, public_key_bin, sizeof(pubkey_test))) {
  406. printf("Mismatched generated public key\n");
  407. ret = AVERROR_INVALIDDATA;
  408. goto fail;
  409. } else {
  410. printf("Generated public key ok\n");
  411. }
  412. if ((ret = ff_dh_compute_shared_secret_key(dh, peer_public_key, sizeof(peer_public_key),
  413. sharedkey_test, sizeof(sharedkey_test))) < 0)
  414. goto fail;
  415. if (memcmp(shared_secret, sharedkey_test, sizeof(sharedkey_test))) {
  416. printf("Mismatched generated shared key\n");
  417. ret = AVERROR_INVALIDDATA;
  418. } else {
  419. printf("Generated shared key ok\n");
  420. }
  421. fail:
  422. ff_dh_free(dh);
  423. return ret;
  424. }
  425. int main(void)
  426. {
  427. if (test_random_shared_secret() < 0)
  428. return 1;
  429. if (test_ref_data() < 0)
  430. return 1;
  431. return 0;
  432. }
  433. #endif