random.c 12 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/type_check.h>
  114. #include "internal.h"
  115. #include "../../internal.h"
  116. #include "../rand/internal.h"
  117. int BN_rand(BIGNUM *rnd, int bits, int top, int bottom) {
  118. uint8_t *buf = NULL;
  119. int ret = 0, bit, bytes, mask;
  120. if (rnd == NULL) {
  121. return 0;
  122. }
  123. if (top != BN_RAND_TOP_ANY && top != BN_RAND_TOP_ONE &&
  124. top != BN_RAND_TOP_TWO) {
  125. OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
  126. return 0;
  127. }
  128. if (bottom != BN_RAND_BOTTOM_ANY && bottom != BN_RAND_BOTTOM_ODD) {
  129. OPENSSL_PUT_ERROR(BN, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
  130. return 0;
  131. }
  132. if (bits == 0) {
  133. BN_zero(rnd);
  134. return 1;
  135. }
  136. bytes = (bits + 7) / 8;
  137. bit = (bits - 1) % 8;
  138. mask = 0xff << (bit + 1);
  139. buf = OPENSSL_malloc(bytes);
  140. if (buf == NULL) {
  141. OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
  142. goto err;
  143. }
  144. // Make a random number and set the top and bottom bits.
  145. RAND_bytes(buf, bytes);
  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. OPENSSL_free(buf);
  169. return ret;
  170. }
  171. int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom) {
  172. return BN_rand(rnd, bits, top, bottom);
  173. }
  174. // bn_less_than_word_mask returns a mask of all ones if the number represented
  175. // by |len| words at |a| is less than |b| and zero otherwise. It performs this
  176. // computation in time independent of the value of |a|. |b| is assumed public.
  177. static crypto_word_t bn_less_than_word_mask(const BN_ULONG *a, size_t len,
  178. BN_ULONG b) {
  179. if (b == 0) {
  180. return CONSTTIME_FALSE_W;
  181. }
  182. if (len == 0) {
  183. return CONSTTIME_TRUE_W;
  184. }
  185. // |a| < |b| iff a[1..len-1] are all zero and a[0] < b.
  186. OPENSSL_COMPILE_ASSERT(sizeof(BN_ULONG) <= sizeof(crypto_word_t),
  187. crypto_word_t_too_small);
  188. crypto_word_t mask = 0;
  189. for (size_t i = 1; i < len; i++) {
  190. mask |= a[i];
  191. }
  192. // |mask| is now zero iff a[1..len-1] are all zero.
  193. mask = constant_time_is_zero_w(mask);
  194. mask &= constant_time_lt_w(a[0], b);
  195. return mask;
  196. }
  197. int bn_in_range_words(const BN_ULONG *a, BN_ULONG min_inclusive,
  198. const BN_ULONG *max_exclusive, size_t len) {
  199. crypto_word_t mask = ~bn_less_than_word_mask(a, len, min_inclusive);
  200. return mask & bn_less_than_words(a, max_exclusive, len);
  201. }
  202. static int bn_range_to_mask(size_t *out_words, BN_ULONG *out_mask,
  203. size_t min_inclusive, const BN_ULONG *max_exclusive,
  204. size_t len) {
  205. // The magnitude of |max_exclusive| is assumed public.
  206. size_t words = len;
  207. while (words > 0 && max_exclusive[words - 1] == 0) {
  208. words--;
  209. }
  210. if (words == 0 ||
  211. (words == 1 && max_exclusive[0] <= min_inclusive)) {
  212. OPENSSL_PUT_ERROR(BN, BN_R_INVALID_RANGE);
  213. return 0;
  214. }
  215. BN_ULONG mask = max_exclusive[words - 1];
  216. // This sets all bits in |mask| below the most significant bit.
  217. mask |= mask >> 1;
  218. mask |= mask >> 2;
  219. mask |= mask >> 4;
  220. mask |= mask >> 8;
  221. mask |= mask >> 16;
  222. #if defined(OPENSSL_64_BIT)
  223. mask |= mask >> 32;
  224. #endif
  225. *out_words = words;
  226. *out_mask = mask;
  227. return 1;
  228. }
  229. int bn_rand_range_words(BN_ULONG *out, BN_ULONG min_inclusive,
  230. const BN_ULONG *max_exclusive, size_t len,
  231. const uint8_t additional_data[32]) {
  232. // This function implements the equivalent of steps 4 through 7 of FIPS 186-4
  233. // appendices B.4.2 and B.5.2. When called in those contexts, |max_exclusive|
  234. // is n and |min_inclusive| is one.
  235. // Compute the bit length of |max_exclusive| (step 1), in terms of a number of
  236. // |words| worth of entropy to fill and a mask of bits to clear in the top
  237. // word.
  238. size_t words;
  239. BN_ULONG mask;
  240. if (!bn_range_to_mask(&words, &mask, min_inclusive, max_exclusive, len)) {
  241. return 0;
  242. }
  243. // Fill any unused words with zero.
  244. OPENSSL_memset(out + words, 0, (len - words) * sizeof(BN_ULONG));
  245. unsigned count = 100;
  246. do {
  247. if (!--count) {
  248. OPENSSL_PUT_ERROR(BN, BN_R_TOO_MANY_ITERATIONS);
  249. return 0;
  250. }
  251. // Steps 4 and 5. Use |words| and |mask| together to obtain a string of N
  252. // bits, where N is the bit length of |max_exclusive|.
  253. RAND_bytes_with_additional_data((uint8_t *)out, words * sizeof(BN_ULONG),
  254. additional_data);
  255. out[words - 1] &= mask;
  256. // If out >= max_exclusive or out < min_inclusive, retry. This implements
  257. // the equivalent of steps 6 and 7 without leaking the value of |out|.
  258. } while (!bn_in_range_words(out, min_inclusive, max_exclusive, words));
  259. return 1;
  260. }
  261. int BN_rand_range_ex(BIGNUM *r, BN_ULONG min_inclusive,
  262. const BIGNUM *max_exclusive) {
  263. static const uint8_t kDefaultAdditionalData[32] = {0};
  264. if (!bn_wexpand(r, max_exclusive->width) ||
  265. !bn_rand_range_words(r->d, min_inclusive, max_exclusive->d,
  266. max_exclusive->width, kDefaultAdditionalData)) {
  267. return 0;
  268. }
  269. r->neg = 0;
  270. r->width = max_exclusive->width;
  271. return 1;
  272. }
  273. int bn_rand_secret_range(BIGNUM *r, int *out_is_uniform, BN_ULONG min_inclusive,
  274. const BIGNUM *max_exclusive) {
  275. size_t words;
  276. BN_ULONG mask;
  277. if (!bn_range_to_mask(&words, &mask, min_inclusive, max_exclusive->d,
  278. max_exclusive->width) ||
  279. !bn_wexpand(r, words)) {
  280. return 0;
  281. }
  282. assert(words > 0);
  283. assert(mask != 0);
  284. // The range must be large enough for bit tricks to fix invalid values.
  285. if (words == 1 && min_inclusive > mask >> 1) {
  286. OPENSSL_PUT_ERROR(BN, BN_R_INVALID_RANGE);
  287. return 0;
  288. }
  289. // Select a uniform random number with num_bits(max_exclusive) bits.
  290. RAND_bytes((uint8_t *)r->d, words * sizeof(BN_ULONG));
  291. r->d[words - 1] &= mask;
  292. // Check, in constant-time, if the value is in range.
  293. *out_is_uniform =
  294. bn_in_range_words(r->d, min_inclusive, max_exclusive->d, words);
  295. crypto_word_t in_range = *out_is_uniform;
  296. in_range = 0 - in_range;
  297. // If the value is not in range, force it to be in range.
  298. r->d[0] |= constant_time_select_w(in_range, 0, min_inclusive);
  299. r->d[words - 1] &= constant_time_select_w(in_range, BN_MASK2, mask >> 1);
  300. assert(bn_in_range_words(r->d, min_inclusive, max_exclusive->d, words));
  301. r->neg = 0;
  302. r->width = words;
  303. return 1;
  304. }
  305. int BN_rand_range(BIGNUM *r, const BIGNUM *range) {
  306. return BN_rand_range_ex(r, 0, range);
  307. }
  308. int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range) {
  309. return BN_rand_range(r, range);
  310. }