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  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->field_data1 = NULL;
  117. group->field_data2 = NULL;
  118. return ok;
  119. }
  120. void ec_GFp_mont_group_finish(EC_GROUP *group) {
  121. if (group->field_data1 != NULL) {
  122. BN_MONT_CTX_free(group->field_data1);
  123. group->field_data1 = NULL;
  124. }
  125. if (group->field_data2 != NULL) {
  126. BN_free(group->field_data2);
  127. group->field_data2 = NULL;
  128. }
  129. ec_GFp_simple_group_finish(group);
  130. }
  131. void ec_GFp_mont_group_clear_finish(EC_GROUP *group) {
  132. if (group->field_data1 != NULL) {
  133. BN_MONT_CTX_free(group->field_data1);
  134. group->field_data1 = NULL;
  135. }
  136. if (group->field_data2 != NULL) {
  137. BN_clear_free(group->field_data2);
  138. group->field_data2 = NULL;
  139. }
  140. ec_GFp_simple_group_clear_finish(group);
  141. }
  142. int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src) {
  143. if (dest->field_data1 != NULL) {
  144. BN_MONT_CTX_free(dest->field_data1);
  145. dest->field_data1 = NULL;
  146. }
  147. if (dest->field_data2 != NULL) {
  148. BN_clear_free(dest->field_data2);
  149. dest->field_data2 = NULL;
  150. }
  151. if (!ec_GFp_simple_group_copy(dest, src))
  152. return 0;
  153. if (src->field_data1 != NULL) {
  154. dest->field_data1 = BN_MONT_CTX_new();
  155. if (dest->field_data1 == NULL)
  156. return 0;
  157. if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1))
  158. goto err;
  159. }
  160. if (src->field_data2 != NULL) {
  161. dest->field_data2 = BN_dup(src->field_data2);
  162. if (dest->field_data2 == NULL)
  163. goto err;
  164. }
  165. return 1;
  166. err:
  167. if (dest->field_data1 != NULL) {
  168. BN_MONT_CTX_free(dest->field_data1);
  169. dest->field_data1 = NULL;
  170. }
  171. return 0;
  172. }
  173. int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p,
  174. const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) {
  175. BN_CTX *new_ctx = NULL;
  176. BN_MONT_CTX *mont = NULL;
  177. BIGNUM *one = NULL;
  178. int ret = 0;
  179. if (group->field_data1 != NULL) {
  180. BN_MONT_CTX_free(group->field_data1);
  181. group->field_data1 = NULL;
  182. }
  183. if (group->field_data2 != NULL) {
  184. BN_free(group->field_data2);
  185. group->field_data2 = NULL;
  186. }
  187. if (ctx == NULL) {
  188. ctx = new_ctx = BN_CTX_new();
  189. if (ctx == NULL)
  190. return 0;
  191. }
  192. mont = BN_MONT_CTX_new();
  193. if (mont == NULL)
  194. goto err;
  195. if (!BN_MONT_CTX_set(mont, p, ctx)) {
  196. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_group_set_curve, ERR_R_BN_LIB);
  197. goto err;
  198. }
  199. one = BN_new();
  200. if (one == NULL)
  201. goto err;
  202. if (!BN_to_montgomery(one, BN_value_one(), mont, ctx))
  203. goto err;
  204. group->field_data1 = mont;
  205. mont = NULL;
  206. group->field_data2 = one;
  207. one = NULL;
  208. ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
  209. if (!ret) {
  210. BN_MONT_CTX_free(group->field_data1);
  211. group->field_data1 = NULL;
  212. BN_free(group->field_data2);
  213. group->field_data2 = NULL;
  214. }
  215. err:
  216. if (new_ctx != NULL)
  217. BN_CTX_free(new_ctx);
  218. if (mont != NULL)
  219. BN_MONT_CTX_free(mont);
  220. return ret;
  221. }
  222. int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  223. const BIGNUM *b, BN_CTX *ctx) {
  224. if (group->field_data1 == NULL) {
  225. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_mul, EC_R_NOT_INITIALIZED);
  226. return 0;
  227. }
  228. return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
  229. }
  230. int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  231. BN_CTX *ctx) {
  232. if (group->field_data1 == NULL) {
  233. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_sqr, EC_R_NOT_INITIALIZED);
  234. return 0;
  235. }
  236. return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
  237. }
  238. int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  239. BN_CTX *ctx) {
  240. if (group->field_data1 == NULL) {
  241. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_encode, EC_R_NOT_INITIALIZED);
  242. return 0;
  243. }
  244. return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
  245. }
  246. int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
  247. BN_CTX *ctx) {
  248. if (group->field_data1 == NULL) {
  249. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_decode, EC_R_NOT_INITIALIZED);
  250. return 0;
  251. }
  252. return BN_from_montgomery(r, a, group->field_data1, ctx);
  253. }
  254. int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r,
  255. BN_CTX *ctx) {
  256. if (group->field_data2 == NULL) {
  257. OPENSSL_PUT_ERROR(EC, ec_GFp_mont_field_set_to_one, EC_R_NOT_INITIALIZED);
  258. return 0;
  259. }
  260. if (!BN_copy(r, group->field_data2))
  261. return 0;
  262. return 1;
  263. }