Nelze vybrat více než 25 témat Téma musí začínat písmenem nebo číslem, může obsahovat pomlčky („-“) a může být dlouhé až 35 znaků.
 
 
 
 
 
 

284 řádky
9.3 KiB

  1. /* Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project.
  2. * ====================================================================
  3. * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
  4. *
  5. * Redistribution and use in source and binary forms, with or without
  6. * modification, are permitted provided that the following conditions
  7. * are met:
  8. *
  9. * 1. Redistributions of source code must retain the above copyright
  10. * notice, this list of conditions and the following disclaimer.
  11. *
  12. * 2. Redistributions in binary form must reproduce the above copyright
  13. * notice, this list of conditions and the following disclaimer in
  14. * the documentation and/or other materials provided with the
  15. * distribution.
  16. *
  17. * 3. All advertising materials mentioning features or use of this
  18. * software must display the following acknowledgment:
  19. * "This product includes software developed by the OpenSSL Project
  20. * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  21. *
  22. * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  23. * endorse or promote products derived from this software without
  24. * prior written permission. For written permission, please contact
  25. * openssl-core@openssl.org.
  26. *
  27. * 5. Products derived from this software may not be called "OpenSSL"
  28. * nor may "OpenSSL" appear in their names without prior written
  29. * permission of the OpenSSL Project.
  30. *
  31. * 6. Redistributions of any form whatsoever must retain the following
  32. * acknowledgment:
  33. * "This product includes software developed by the OpenSSL Project
  34. * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  35. *
  36. * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  37. * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  38. * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  39. * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
  40. * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  41. * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  42. * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  43. * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  44. * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  45. * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  46. * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  47. * OF THE POSSIBILITY OF SUCH DAMAGE.
  48. * ====================================================================
  49. *
  50. * This product includes cryptographic software written by Eric Young
  51. * (eay@cryptsoft.com). This product includes software written by Tim
  52. * Hudson (tjh@cryptsoft.com).
  53. *
  54. */
  55. /* ====================================================================
  56. * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  57. *
  58. * Portions of the attached software ("Contribution") are developed by
  59. * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  60. *
  61. * The Contribution is licensed pursuant to the OpenSSL open source
  62. * license provided above.
  63. *
  64. * The elliptic curve binary polynomial software is originally written by
  65. * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
  66. * Laboratories. */
  67. #include <openssl/ec.h>
  68. #include <openssl/bn.h>
  69. #include <openssl/err.h>
  70. #include <openssl/mem.h>
  71. #include "internal.h"
  72. const EC_METHOD *EC_GFp_mont_method(void) {
  73. static const EC_METHOD ret = {EC_FLAGS_DEFAULT_OCT,
  74. ec_GFp_mont_group_init,
  75. ec_GFp_mont_group_finish,
  76. ec_GFp_mont_group_clear_finish,
  77. ec_GFp_mont_group_copy,
  78. ec_GFp_mont_group_set_curve,
  79. ec_GFp_simple_group_get_curve,
  80. ec_GFp_simple_group_get_degree,
  81. ec_GFp_simple_group_check_discriminant,
  82. ec_GFp_simple_point_init,
  83. ec_GFp_simple_point_finish,
  84. ec_GFp_simple_point_clear_finish,
  85. ec_GFp_simple_point_copy,
  86. ec_GFp_simple_point_set_to_infinity,
  87. ec_GFp_simple_set_Jprojective_coordinates_GFp,
  88. ec_GFp_simple_get_Jprojective_coordinates_GFp,
  89. ec_GFp_simple_point_set_affine_coordinates,
  90. ec_GFp_simple_point_get_affine_coordinates,
  91. 0,
  92. 0,
  93. 0,
  94. ec_GFp_simple_add,
  95. ec_GFp_simple_dbl,
  96. ec_GFp_simple_invert,
  97. ec_GFp_simple_is_at_infinity,
  98. ec_GFp_simple_is_on_curve,
  99. ec_GFp_simple_cmp,
  100. ec_GFp_simple_make_affine,
  101. ec_GFp_simple_points_make_affine,
  102. 0 /* mul */,
  103. 0 /* precompute_mult */,
  104. 0 /* have_precompute_mult */,
  105. ec_GFp_mont_field_mul,
  106. ec_GFp_mont_field_sqr,
  107. 0 /* field_div */,
  108. ec_GFp_mont_field_encode,
  109. ec_GFp_mont_field_decode,
  110. ec_GFp_mont_field_set_to_one};
  111. return &ret;
  112. }
  113. int ec_GFp_mont_group_init(EC_GROUP *group) {
  114. int ok;
  115. ok = ec_GFp_simple_group_init(group);
  116. group->mont = NULL;
  117. group->one = NULL;
  118. return ok;
  119. }
  120. void ec_GFp_mont_group_finish(EC_GROUP *group) {
  121. BN_MONT_CTX_free(group->mont);
  122. group->mont = NULL;
  123. BN_free(group->one);
  124. group->one = NULL;
  125. ec_GFp_simple_group_finish(group);
  126. }
  127. void ec_GFp_mont_group_clear_finish(EC_GROUP *group) {
  128. BN_MONT_CTX_free(group->mont);
  129. group->mont = NULL;
  130. BN_clear_free(group->one);
  131. group->one = NULL;
  132. ec_GFp_simple_group_clear_finish(group);
  133. }
  134. int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src) {
  135. BN_MONT_CTX_free(dest->mont);
  136. dest->mont = NULL;
  137. BN_clear_free(dest->one);
  138. dest->one = NULL;
  139. if (!ec_GFp_simple_group_copy(dest, src)) {
  140. return 0;
  141. }
  142. if (src->mont != NULL) {
  143. dest->mont = BN_MONT_CTX_new();
  144. if (dest->mont == NULL) {
  145. return 0;
  146. }
  147. if (!BN_MONT_CTX_copy(dest->mont, src->mont)) {
  148. goto err;
  149. }
  150. }
  151. if (src->one != NULL) {
  152. dest->one = BN_dup(src->one);
  153. if (dest->one == NULL) {
  154. goto err;
  155. }
  156. }
  157. return 1;
  158. err:
  159. BN_MONT_CTX_free(dest->mont);
  160. dest->mont = NULL;
  161. return 0;
  162. }
  163. int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p,
  164. const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) {
  165. BN_CTX *new_ctx = NULL;
  166. BN_MONT_CTX *mont = NULL;
  167. BIGNUM *one = NULL;
  168. int ret = 0;
  169. BN_MONT_CTX_free(group->mont);
  170. group->mont = NULL;
  171. BN_free(group->one);
  172. group->one = NULL;
  173. if (ctx == NULL) {
  174. ctx = new_ctx = BN_CTX_new();
  175. if (ctx == NULL) {
  176. return 0;
  177. }
  178. }
  179. mont = BN_MONT_CTX_new();
  180. if (mont == NULL) {
  181. goto err;
  182. }
  183. if (!BN_MONT_CTX_set(mont, p, ctx)) {
  184. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_group_set_curve, ERR_R_BN_LIB);
  185. goto err;
  186. }
  187. one = BN_new();
  188. if (one == NULL || !BN_to_montgomery(one, BN_value_one(), mont, ctx)) {
  189. goto err;
  190. }
  191. group->mont = mont;
  192. mont = NULL;
  193. group->one = one;
  194. one = NULL;
  195. ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
  196. if (!ret) {
  197. BN_MONT_CTX_free(group->mont);
  198. group->mont = NULL;
  199. BN_free(group->one);
  200. group->one = NULL;
  201. }
  202. err:
  203. BN_CTX_free(new_ctx);
  204. BN_MONT_CTX_free(mont);
  205. BN_free(one);
  206. return ret;
  207. }
  208. int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  209. const BIGNUM *b, BN_CTX *ctx) {
  210. if (group->mont == NULL) {
  211. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_mul, EC_R_NOT_INITIALIZED);
  212. return 0;
  213. }
  214. return BN_mod_mul_montgomery(r, a, b, group->mont, ctx);
  215. }
  216. int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  217. BN_CTX *ctx) {
  218. if (group->mont == NULL) {
  219. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_sqr, EC_R_NOT_INITIALIZED);
  220. return 0;
  221. }
  222. return BN_mod_mul_montgomery(r, a, a, group->mont, ctx);
  223. }
  224. int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  225. BN_CTX *ctx) {
  226. if (group->mont == NULL) {
  227. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_encode, EC_R_NOT_INITIALIZED);
  228. return 0;
  229. }
  230. return BN_to_montgomery(r, a, group->mont, ctx);
  231. }
  232. int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  233. BN_CTX *ctx) {
  234. if (group->mont == NULL) {
  235. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_decode, EC_R_NOT_INITIALIZED);
  236. return 0;
  237. }
  238. return BN_from_montgomery(r, a, group->mont, ctx);
  239. }
  240. int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r,
  241. BN_CTX *ctx) {
  242. if (group->one == NULL) {
  243. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_set_to_one, EC_R_NOT_INITIALIZED);
  244. return 0;
  245. }
  246. if (!BN_copy(r, group->one)) {
  247. return 0;
  248. }
  249. return 1;
  250. }