internal.h 13 KB

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  1. /* Originally written by Bodo Moeller 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. #ifndef OPENSSL_HEADER_EC_INTERNAL_H
  68. #define OPENSSL_HEADER_EC_INTERNAL_H
  69. #include <openssl/base.h>
  70. #include <openssl/bn.h>
  71. #include <openssl/ex_data.h>
  72. #include <openssl/thread.h>
  73. #if defined(__cplusplus)
  74. extern "C" {
  75. #endif
  76. struct ec_method_st {
  77. int (*group_init)(EC_GROUP *);
  78. void (*group_finish)(EC_GROUP *);
  79. int (*group_copy)(EC_GROUP *, const EC_GROUP *);
  80. int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
  81. const BIGNUM *b, BN_CTX *);
  82. int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
  83. BIGNUM *x, BIGNUM *y, BN_CTX *);
  84. /* Computes |r = g_scalar*generator + p_scalar*p| if |g_scalar| and |p_scalar|
  85. * are both non-null. Computes |r = g_scalar*generator| if |p_scalar| is null.
  86. * Computes |r = p_scalar*p| if g_scalar is null. At least one of |g_scalar|
  87. * and |p_scalar| must be non-null, and |p| must be non-null if |p_scalar| is
  88. * non-null. */
  89. int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
  90. const EC_POINT *p, const BIGNUM *p_scalar, BN_CTX *ctx);
  91. /* |check_pub_key_order| checks that the public key is in the proper subgroup
  92. * by checking that |pub_key*group->order| is the point at infinity. This may
  93. * be NULL for |EC_METHOD|s specialized for prime-order curves (i.e. with
  94. * cofactor one), as this check is not necessary for such curves (See section
  95. * A.3 of the NSA's "Suite B Implementer's Guide to FIPS 186-3
  96. * (ECDSA)"). */
  97. int (*check_pub_key_order)(const EC_GROUP *group, const EC_POINT *pub_key,
  98. BN_CTX *ctx);
  99. /* 'field_mul' and 'field_sqr' can be used by 'add' and 'dbl' so that the
  100. * same implementations of point operations can be used with different
  101. * optimized implementations of expensive field operations: */
  102. int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  103. const BIGNUM *b, BN_CTX *);
  104. int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
  105. int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  106. BN_CTX *); /* e.g. to Montgomery */
  107. int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  108. BN_CTX *); /* e.g. from Montgomery */
  109. int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
  110. } /* EC_METHOD */;
  111. const EC_METHOD* EC_GFp_mont_method(void);
  112. struct ec_group_st {
  113. const EC_METHOD *meth;
  114. EC_POINT *generator;
  115. BIGNUM order, cofactor;
  116. int curve_name; /* optional NID for named curve */
  117. const BN_MONT_CTX *mont_data; /* data for ECDSA inverse */
  118. /* The following members are handled by the method functions,
  119. * even if they appear generic */
  120. BIGNUM field; /* For curves over GF(p), this is the modulus. */
  121. BIGNUM a, b; /* Curve coefficients. */
  122. int a_is_minus3; /* enable optimized point arithmetics for special case */
  123. BN_MONT_CTX *mont; /* Montgomery structure. */
  124. BIGNUM *one; /* The value one */
  125. } /* EC_GROUP */;
  126. struct ec_point_st {
  127. const EC_METHOD *meth;
  128. BIGNUM X;
  129. BIGNUM Y;
  130. BIGNUM Z; /* Jacobian projective coordinates:
  131. * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
  132. int Z_is_one; /* enable optimized point arithmetics for special case */
  133. } /* EC_POINT */;
  134. EC_GROUP *ec_group_new(const EC_METHOD *meth);
  135. int ec_group_copy(EC_GROUP *dest, const EC_GROUP *src);
  136. /* ec_group_get_mont_data returns a Montgomery context for operations in the
  137. * scalar field of |group|. It may return NULL in the case that |group| is not
  138. * a built-in group. */
  139. const BN_MONT_CTX *ec_group_get_mont_data(const EC_GROUP *group);
  140. int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
  141. const EC_POINT *p, const BIGNUM *p_scalar, BN_CTX *ctx);
  142. /* method functions in simple.c */
  143. int ec_GFp_simple_group_init(EC_GROUP *);
  144. void ec_GFp_simple_group_finish(EC_GROUP *);
  145. int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
  146. int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
  147. const BIGNUM *b, BN_CTX *);
  148. int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
  149. BIGNUM *b, BN_CTX *);
  150. unsigned ec_GFp_simple_group_get_degree(const EC_GROUP *);
  151. int ec_GFp_simple_point_init(EC_POINT *);
  152. void ec_GFp_simple_point_finish(EC_POINT *);
  153. void ec_GFp_simple_point_clear_finish(EC_POINT *);
  154. int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
  155. int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
  156. int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
  157. const BIGNUM *x,
  158. const BIGNUM *y,
  159. const BIGNUM *z, BN_CTX *);
  160. int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
  161. const EC_POINT *, BIGNUM *x,
  162. BIGNUM *y, BIGNUM *z,
  163. BN_CTX *);
  164. int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
  165. const BIGNUM *x, const BIGNUM *y,
  166. BN_CTX *);
  167. int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
  168. const EC_POINT *, BIGNUM *x,
  169. BIGNUM *y, BN_CTX *);
  170. int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
  171. const BIGNUM *x, int y_bit,
  172. BN_CTX *);
  173. int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
  174. const EC_POINT *b, BN_CTX *);
  175. int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
  176. BN_CTX *);
  177. int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
  178. int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
  179. int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
  180. int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
  181. BN_CTX *);
  182. int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
  183. int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
  184. EC_POINT * [], BN_CTX *);
  185. int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  186. const BIGNUM *b, BN_CTX *);
  187. int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  188. BN_CTX *);
  189. /* method functions in montgomery.c */
  190. int ec_GFp_mont_group_init(EC_GROUP *);
  191. int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
  192. const BIGNUM *b, BN_CTX *);
  193. void ec_GFp_mont_group_finish(EC_GROUP *);
  194. int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
  195. int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  196. const BIGNUM *b, BN_CTX *);
  197. int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  198. BN_CTX *);
  199. int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  200. BN_CTX *);
  201. int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
  202. BN_CTX *);
  203. int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
  204. int ec_point_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
  205. EC_POINT *point, const BIGNUM *x,
  206. const BIGNUM *y, const BIGNUM *z,
  207. BN_CTX *ctx);
  208. void ec_GFp_nistp_points_make_affine_internal(
  209. size_t num, void *point_array, size_t felem_size, void *tmp_felems,
  210. void (*felem_one)(void *out), int (*felem_is_zero)(const void *in),
  211. void (*felem_assign)(void *out, const void *in),
  212. void (*felem_square)(void *out, const void *in),
  213. void (*felem_mul)(void *out, const void *in1, const void *in2),
  214. void (*felem_inv)(void *out, const void *in),
  215. void (*felem_contract)(void *out, const void *in));
  216. void ec_GFp_nistp_recode_scalar_bits(uint8_t *sign, uint8_t *digit, uint8_t in);
  217. const EC_METHOD *EC_GFp_nistp224_method(void);
  218. const EC_METHOD *EC_GFp_nistp256_method(void);
  219. /* Returns GFp methods using montgomery multiplication, with x86-64
  220. * optimized P256. See http://eprint.iacr.org/2013/816. */
  221. const EC_METHOD *EC_GFp_nistz256_method(void);
  222. struct ec_key_st {
  223. EC_GROUP *group;
  224. EC_POINT *pub_key;
  225. BIGNUM *priv_key;
  226. unsigned int enc_flag;
  227. point_conversion_form_t conv_form;
  228. CRYPTO_refcount_t references;
  229. ECDSA_METHOD *ecdsa_meth;
  230. CRYPTO_EX_DATA ex_data;
  231. } /* EC_KEY */;
  232. /* curve_data contains data about a built-in elliptic curve. */
  233. struct curve_data {
  234. /* comment is a human-readable string describing the curve. */
  235. const char *comment;
  236. /* param_len is the number of bytes needed to store a field element. */
  237. uint8_t param_len;
  238. /* cofactor is the cofactor of the group (i.e. the number of elements in the
  239. * group divided by the size of the main subgroup. */
  240. uint8_t cofactor; /* promoted to BN_ULONG */
  241. /* data points to an array of 6*|param_len| bytes which hold the field
  242. * elements of the following (in big-endian order): prime, a, b, generator x,
  243. * generator y, order. */
  244. const uint8_t data[];
  245. };
  246. struct built_in_curve {
  247. int nid;
  248. const struct curve_data *data;
  249. const EC_METHOD *(*method)(void);
  250. };
  251. /* OPENSSL_built_in_curves is terminated with an entry where |nid| is
  252. * |NID_undef|. */
  253. extern const struct built_in_curve OPENSSL_built_in_curves[];
  254. #if defined(__cplusplus)
  255. } /* extern C */
  256. #endif
  257. #endif /* OPENSSL_HEADER_EC_INTERNAL_H */