random.c 11 KB

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  1. /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
  2. * All rights reserved.
  3. *
  4. * This package is an SSL implementation written
  5. * by Eric Young (eay@cryptsoft.com).
  6. * The implementation was written so as to conform with Netscapes SSL.
  7. *
  8. * This library is free for commercial and non-commercial use as long as
  9. * the following conditions are aheared to. The following conditions
  10. * apply to all code found in this distribution, be it the RC4, RSA,
  11. * lhash, DES, etc., code; not just the SSL code. The SSL documentation
  12. * included with this distribution is covered by the same copyright terms
  13. * except that the holder is Tim Hudson (tjh@cryptsoft.com).
  14. *
  15. * Copyright remains Eric Young's, and as such any Copyright notices in
  16. * the code are not to be removed.
  17. * If this package is used in a product, Eric Young should be given attribution
  18. * as the author of the parts of the library used.
  19. * This can be in the form of a textual message at program startup or
  20. * in documentation (online or textual) provided with the package.
  21. *
  22. * Redistribution and use in source and binary forms, with or without
  23. * modification, are permitted provided that the following conditions
  24. * are met:
  25. * 1. Redistributions of source code must retain the copyright
  26. * notice, this list of conditions and the following disclaimer.
  27. * 2. Redistributions in binary form must reproduce the above copyright
  28. * notice, this list of conditions and the following disclaimer in the
  29. * documentation and/or other materials provided with the distribution.
  30. * 3. All advertising materials mentioning features or use of this software
  31. * must display the following acknowledgement:
  32. * "This product includes cryptographic software written by
  33. * Eric Young (eay@cryptsoft.com)"
  34. * The word 'cryptographic' can be left out if the rouines from the library
  35. * being used are not cryptographic related :-).
  36. * 4. If you include any Windows specific code (or a derivative thereof) from
  37. * the apps directory (application code) you must include an acknowledgement:
  38. * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
  39. *
  40. * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
  41. * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  42. * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  43. * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
  44. * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  45. * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  46. * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  47. * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  48. * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
  49. * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  50. * SUCH DAMAGE.
  51. *
  52. * The licence and distribution terms for any publically available version or
  53. * derivative of this code cannot be changed. i.e. this code cannot simply be
  54. * copied and put under another distribution licence
  55. * [including the GNU Public Licence.]
  56. */
  57. /* ====================================================================
  58. * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
  59. *
  60. * Redistribution and use in source and binary forms, with or without
  61. * modification, are permitted provided that the following conditions
  62. * are met:
  63. *
  64. * 1. Redistributions of source code must retain the above copyright
  65. * notice, this list of conditions and the following disclaimer.
  66. *
  67. * 2. Redistributions in binary form must reproduce the above copyright
  68. * notice, this list of conditions and the following disclaimer in
  69. * the documentation and/or other materials provided with the
  70. * distribution.
  71. *
  72. * 3. All advertising materials mentioning features or use of this
  73. * software must display the following acknowledgment:
  74. * "This product includes software developed by the OpenSSL Project
  75. * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  76. *
  77. * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  78. * endorse or promote products derived from this software without
  79. * prior written permission. For written permission, please contact
  80. * openssl-core@openssl.org.
  81. *
  82. * 5. Products derived from this software may not be called "OpenSSL"
  83. * nor may "OpenSSL" appear in their names without prior written
  84. * permission of the OpenSSL Project.
  85. *
  86. * 6. Redistributions of any form whatsoever must retain the following
  87. * acknowledgment:
  88. * "This product includes software developed by the OpenSSL Project
  89. * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  90. *
  91. * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  92. * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  93. * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  94. * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
  95. * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  96. * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  97. * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  98. * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  99. * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  100. * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  101. * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  102. * OF THE POSSIBILITY OF SUCH DAMAGE.
  103. * ====================================================================
  104. *
  105. * This product includes cryptographic software written by Eric Young
  106. * (eay@cryptsoft.com). This product includes software written by Tim
  107. * Hudson (tjh@cryptsoft.com). */
  108. #include <openssl/bn.h>
  109. #include <string.h>
  110. #include <openssl/err.h>
  111. #include <openssl/mem.h>
  112. #include <openssl/rand.h>
  113. #include <openssl/sha.h>
  114. #include "../internal.h"
  115. int BN_rand(BIGNUM *rnd, int bits, int top, int bottom) {
  116. uint8_t *buf = NULL;
  117. int ret = 0, bit, bytes, mask;
  118. if (rnd == NULL) {
  119. return 0;
  120. }
  121. if (top != BN_RAND_TOP_ANY && top != BN_RAND_TOP_ONE &&
  122. top != BN_RAND_TOP_TWO) {
  123. OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
  124. return 0;
  125. }
  126. if (bottom != BN_RAND_BOTTOM_ANY && bottom != BN_RAND_BOTTOM_ODD) {
  127. OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
  128. return 0;
  129. }
  130. if (bits == 0) {
  131. BN_zero(rnd);
  132. return 1;
  133. }
  134. bytes = (bits + 7) / 8;
  135. bit = (bits - 1) % 8;
  136. mask = 0xff << (bit + 1);
  137. buf = OPENSSL_malloc(bytes);
  138. if (buf == NULL) {
  139. OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
  140. goto err;
  141. }
  142. /* Make a random number and set the top and bottom bits. */
  143. if (!RAND_bytes(buf, bytes)) {
  144. goto err;
  145. }
  146. if (top != BN_RAND_TOP_ANY) {
  147. if (top == BN_RAND_TOP_TWO && bits > 1) {
  148. if (bit == 0) {
  149. buf[0] = 1;
  150. buf[1] |= 0x80;
  151. } else {
  152. buf[0] |= (3 << (bit - 1));
  153. }
  154. } else {
  155. buf[0] |= (1 << bit);
  156. }
  157. }
  158. buf[0] &= ~mask;
  159. /* Set the bottom bit if requested, */
  160. if (bottom == BN_RAND_BOTTOM_ODD) {
  161. buf[bytes - 1] |= 1;
  162. }
  163. if (!BN_bin2bn(buf, bytes, rnd)) {
  164. goto err;
  165. }
  166. ret = 1;
  167. err:
  168. if (buf != NULL) {
  169. OPENSSL_cleanse(buf, bytes);
  170. OPENSSL_free(buf);
  171. }
  172. return (ret);
  173. }
  174. int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom) {
  175. return BN_rand(rnd, bits, top, bottom);
  176. }
  177. int BN_rand_range_ex(BIGNUM *r, BN_ULONG min_inclusive,
  178. const BIGNUM *max_exclusive) {
  179. unsigned n;
  180. unsigned count = 100;
  181. if (BN_cmp_word(max_exclusive, min_inclusive) <= 0) {
  182. OPENSSL_PUT_ERROR(BN, BN_R_INVALID_RANGE);
  183. return 0;
  184. }
  185. n = BN_num_bits(max_exclusive); /* n > 0 */
  186. /* BN_is_bit_set(range, n - 1) always holds */
  187. if (n == 1) {
  188. BN_zero(r);
  189. return 1;
  190. }
  191. do {
  192. if (!--count) {
  193. OPENSSL_PUT_ERROR(BN, BN_R_TOO_MANY_ITERATIONS);
  194. return 0;
  195. }
  196. if (!BN_is_bit_set(max_exclusive, n - 2) &&
  197. !BN_is_bit_set(max_exclusive, n - 3)) {
  198. /* range = 100..._2, so 3*range (= 11..._2) is exactly one bit longer
  199. * than range. This is a common scenario when generating a random value
  200. * modulo an RSA public modulus, e.g. for RSA base blinding. */
  201. if (!BN_rand(r, n + 1, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) {
  202. return 0;
  203. }
  204. /* If r < 3*range, use r := r MOD range (which is either r, r - range, or
  205. * r - 2*range). Otherwise, iterate again. Since 3*range = 11..._2, each
  206. * iteration succeeds with probability >= .75. */
  207. if (BN_cmp(r, max_exclusive) >= 0) {
  208. if (!BN_sub(r, r, max_exclusive)) {
  209. return 0;
  210. }
  211. if (BN_cmp(r, max_exclusive) >= 0) {
  212. if (!BN_sub(r, r, max_exclusive)) {
  213. return 0;
  214. }
  215. }
  216. }
  217. } else {
  218. /* range = 11..._2 or range = 101..._2 */
  219. if (!BN_rand(r, n, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) {
  220. return 0;
  221. }
  222. }
  223. } while (BN_cmp_word(r, min_inclusive) < 0 ||
  224. BN_cmp(r, max_exclusive) >= 0);
  225. return 1;
  226. }
  227. int BN_rand_range(BIGNUM *r, const BIGNUM *range) {
  228. return BN_rand_range_ex(r, 0, range);
  229. }
  230. int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range) {
  231. return BN_rand_range(r, range);
  232. }
  233. int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range, const BIGNUM *priv,
  234. const uint8_t *message, size_t message_len,
  235. BN_CTX *ctx) {
  236. SHA512_CTX sha;
  237. /* We use 512 bits of random data per iteration to
  238. * ensure that we have at least |range| bits of randomness. */
  239. uint8_t random_bytes[64];
  240. uint8_t digest[SHA512_DIGEST_LENGTH];
  241. size_t done, todo, attempt;
  242. const unsigned num_k_bytes = BN_num_bytes(range);
  243. const unsigned bits_to_mask = (8 - (BN_num_bits(range) % 8)) % 8;
  244. uint8_t private_bytes[96];
  245. uint8_t *k_bytes = NULL;
  246. int ret = 0;
  247. if (out == NULL) {
  248. return 0;
  249. }
  250. if (BN_is_zero(range)) {
  251. OPENSSL_PUT_ERROR(BN, BN_R_DIV_BY_ZERO);
  252. goto err;
  253. }
  254. k_bytes = OPENSSL_malloc(num_k_bytes);
  255. if (!k_bytes) {
  256. OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
  257. goto err;
  258. }
  259. /* We copy |priv| into a local buffer to avoid furthur exposing its
  260. * length. */
  261. todo = sizeof(priv->d[0]) * priv->top;
  262. if (todo > sizeof(private_bytes)) {
  263. /* No reasonable DSA or ECDSA key should have a private key
  264. * this large and we don't handle this case in order to avoid
  265. * leaking the length of the private key. */
  266. OPENSSL_PUT_ERROR(BN, BN_R_PRIVATE_KEY_TOO_LARGE);
  267. goto err;
  268. }
  269. OPENSSL_memcpy(private_bytes, priv->d, todo);
  270. OPENSSL_memset(private_bytes + todo, 0, sizeof(private_bytes) - todo);
  271. for (attempt = 0;; attempt++) {
  272. for (done = 0; done < num_k_bytes;) {
  273. if (!RAND_bytes(random_bytes, sizeof(random_bytes))) {
  274. goto err;
  275. }
  276. SHA512_Init(&sha);
  277. SHA512_Update(&sha, &attempt, sizeof(attempt));
  278. SHA512_Update(&sha, &done, sizeof(done));
  279. SHA512_Update(&sha, private_bytes, sizeof(private_bytes));
  280. SHA512_Update(&sha, message, message_len);
  281. SHA512_Update(&sha, random_bytes, sizeof(random_bytes));
  282. SHA512_Final(digest, &sha);
  283. todo = num_k_bytes - done;
  284. if (todo > SHA512_DIGEST_LENGTH) {
  285. todo = SHA512_DIGEST_LENGTH;
  286. }
  287. OPENSSL_memcpy(k_bytes + done, digest, todo);
  288. done += todo;
  289. }
  290. k_bytes[0] &= 0xff >> bits_to_mask;
  291. if (!BN_bin2bn(k_bytes, num_k_bytes, out)) {
  292. goto err;
  293. }
  294. if (BN_cmp(out, range) < 0) {
  295. break;
  296. }
  297. }
  298. ret = 1;
  299. err:
  300. OPENSSL_free(k_bytes);
  301. return ret;
  302. }