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 68 #ifndef OPENSSL_HEADER_EC_H 69 #define OPENSSL_HEADER_EC_H 70 71 #include <openssl/base.h> 72 73 #if defined(__cplusplus) 74 extern "C" { 75 #endif 76 77 78 /* Low-level operations on elliptic curves. */ 79 80 81 typedef struct ec_group_st EC_GROUP; 82 typedef struct ec_point_st EC_POINT; 83 84 /** Enum for the point conversion form as defined in X9.62 (ECDSA) 85 * for the encoding of a elliptic curve point (x,y) */ 86 typedef enum { 87 /** the point is encoded as z||x, where the octet z specifies 88 * which solution of the quadratic equation y is */ 89 POINT_CONVERSION_COMPRESSED = 2, 90 /** the point is encoded as z||x||y, where z is the octet 0x02 */ 91 POINT_CONVERSION_UNCOMPRESSED = 4 92 } point_conversion_form_t; 93 94 95 /* Elliptic curve groups. */ 96 97 /* EC_GROUP_new_by_curve_name returns a fresh EC_GROUP object for the elliptic 98 * curve specified by |nid|, or NULL on error. 99 * 100 * The supported NIDs are: 101 * NID_secp224r1, 102 * NID_X9_62_prime256v1, 103 * NID_secp384r1, 104 * NID_secp521r1 */ 105 OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 106 107 /* EC_GROUP_free frees |group| and the data that it points to. */ 108 OPENSSL_EXPORT void EC_GROUP_free(EC_GROUP *group); 109 110 /* EC_GROUP_dup returns a fresh |EC_GROUP| which is equal to |a| or NULL on 111 * error. */ 112 OPENSSL_EXPORT EC_GROUP *EC_GROUP_dup(const EC_GROUP *a); 113 114 /* EC_GROUP_cmp returns zero if |a| and |b| are the same group and non-zero 115 * otherwise. */ 116 OPENSSL_EXPORT int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, 117 BN_CTX *ignored); 118 119 /* EC_GROUP_get0_generator returns a pointer to the internal |EC_POINT| object 120 * in |group| that specifies the generator for the group. */ 121 OPENSSL_EXPORT const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); 122 123 /* EC_GROUP_get_order sets |*order| to the order of |group|, if it's not 124 * NULL. It returns one on success and zero otherwise. |ctx| is ignored. */ 125 OPENSSL_EXPORT int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, 126 BN_CTX *ctx); 127 128 /* EC_GROUP_get_cofactor sets |*cofactor| to the cofactor of |group| using 129 * |ctx|, if it's not NULL. It returns one on success and zero otherwise. */ 130 OPENSSL_EXPORT int EC_GROUP_get_cofactor(const EC_GROUP *group, 131 BIGNUM *cofactor, BN_CTX *ctx); 132 133 /* EC_GROUP_get_curve_GFp gets various parameters about a group. It sets 134 * |*out_p| to the order of the coordinate field and |*out_a| and |*out_b| to 135 * the parameters of the curve when expressed as y² = x³ + ax + b. Any of the 136 * output parameters can be NULL. It returns one on success and zero on 137 * error. */ 138 OPENSSL_EXPORT int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p, 139 BIGNUM *out_a, BIGNUM *out_b, 140 BN_CTX *ctx); 141 142 /* EC_GROUP_get_curve_name returns a NID that identifies |group|. */ 143 OPENSSL_EXPORT int EC_GROUP_get_curve_name(const EC_GROUP *group); 144 145 /* EC_GROUP_get_degree returns the number of bits needed to represent an 146 * element of the field underlying |group|. */ 147 OPENSSL_EXPORT int EC_GROUP_get_degree(const EC_GROUP *group); 148 149 /* EC_GROUP_precompute_mult precomputes multiplies of the generator in order to 150 * speed up operations that involve calculating generator multiples. It returns 151 * one on sucess and zero otherwise. If |ctx| is not NULL, it may be used. */ 152 OPENSSL_EXPORT int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 153 154 /* EC_GROUP_have_precompute_mult returns one if |group| contains precomputed 155 * generator multiples. */ 156 OPENSSL_EXPORT int EC_GROUP_have_precompute_mult(const EC_GROUP *group); 157 158 159 /* Points on elliptic curves. */ 160 161 /* EC_POINT_new returns a fresh |EC_POINT| object in the given group, or NULL 162 * on error. */ 163 OPENSSL_EXPORT EC_POINT *EC_POINT_new(const EC_GROUP *group); 164 165 /* EC_POINT_free frees |point| and the data that it points to. */ 166 OPENSSL_EXPORT void EC_POINT_free(EC_POINT *point); 167 168 /* EC_POINT_clear_free clears the data that |point| points to, frees it and 169 * then frees |point| itself. */ 170 OPENSSL_EXPORT void EC_POINT_clear_free(EC_POINT *point); 171 172 /* EC_POINT_copy sets |*dest| equal to |*src|. It returns one on success and 173 * zero otherwise. */ 174 OPENSSL_EXPORT int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src); 175 176 /* EC_POINT_dup returns a fresh |EC_POINT| that contains the same values as 177 * |src|, or NULL on error. */ 178 OPENSSL_EXPORT EC_POINT *EC_POINT_dup(const EC_POINT *src, 179 const EC_GROUP *group); 180 181 /* EC_POINT_set_to_infinity sets |point| to be the "point at infinity" for the 182 * given group. */ 183 OPENSSL_EXPORT int EC_POINT_set_to_infinity(const EC_GROUP *group, 184 EC_POINT *point); 185 186 /* EC_POINT_is_at_infinity returns one iff |point| is the point at infinity and 187 * zero otherwise. */ 188 OPENSSL_EXPORT int EC_POINT_is_at_infinity(const EC_GROUP *group, 189 const EC_POINT *point); 190 191 /* EC_POINT_is_on_curve returns one if |point| is an element of |group| and 192 * zero otheriwse. If |ctx| is non-NULL, it may be used. */ 193 OPENSSL_EXPORT int EC_POINT_is_on_curve(const EC_GROUP *group, 194 const EC_POINT *point, BN_CTX *ctx); 195 196 /* EC_POINT_cmp returns zero if |a| is equal to |b|, greater than zero is 197 * non-equal and -1 on error. If |ctx| is not NULL, it may be used. */ 198 OPENSSL_EXPORT int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, 199 const EC_POINT *b, BN_CTX *ctx); 200 201 /* EC_POINT_make_affine converts |point| to affine form, internally. It returns 202 * one on success and zero otherwise. If |ctx| is not NULL, it may be used. */ 203 OPENSSL_EXPORT int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, 204 BN_CTX *ctx); 205 206 /* EC_POINTs_make_affine converts |num| points from |points| to affine form, 207 * internally. It returns one on success and zero otherwise. If |ctx| is not 208 * NULL, it may be used. */ 209 OPENSSL_EXPORT int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, 210 EC_POINT *points[], BN_CTX *ctx); 211 212 213 /* Point conversion. */ 214 215 /* EC_POINT_get_affine_coordinates_GFp sets |x| and |y| to the affine value of 216 * |point| using |ctx|, if it's not NULL. It returns one on success and zero 217 * otherwise. */ 218 OPENSSL_EXPORT int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, 219 const EC_POINT *point, 220 BIGNUM *x, BIGNUM *y, 221 BN_CTX *ctx); 222 223 /* EC_POINT_set_affine_coordinates sets the value of |p| to be (|x|, |y|). The 224 * |ctx| argument may be used if not NULL. */ 225 OPENSSL_EXPORT int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, 226 EC_POINT *point, 227 const BIGNUM *x, 228 const BIGNUM *y, 229 BN_CTX *ctx); 230 231 /* EC_POINT_point2oct serialises |point| into the X9.62 form given by |form| 232 * into, at most, |len| bytes at |buf|. It returns the number of bytes written 233 * or zero on error if |buf| is non-NULL, else the number of bytes needed. The 234 * |ctx| argument may be used if not NULL. */ 235 OPENSSL_EXPORT size_t EC_POINT_point2oct(const EC_GROUP *group, 236 const EC_POINT *point, 237 point_conversion_form_t form, 238 uint8_t *buf, size_t len, BN_CTX *ctx); 239 240 /* EC_POINT_oct2point sets |point| from |len| bytes of X9.62 format 241 * serialisation in |buf|. It returns one on success and zero otherwise. The 242 * |ctx| argument may be used if not NULL. */ 243 OPENSSL_EXPORT int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point, 244 const uint8_t *buf, size_t len, 245 BN_CTX *ctx); 246 247 /* EC_POINT_set_compressed_coordinates_GFp sets |point| to equal the point with 248 * the given |x| coordinate and the y coordinate specified by |y_bit| (see 249 * X9.62). It returns one on success and zero otherwise. */ 250 OPENSSL_EXPORT int EC_POINT_set_compressed_coordinates_GFp( 251 const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, int y_bit, 252 BN_CTX *ctx); 253 254 255 /* Group operations. */ 256 257 /* EC_POINT_add sets |r| equal to |a| plus |b|. It returns one on success and 258 * zero otherwise. If |ctx| is not NULL, it may be used. */ 259 OPENSSL_EXPORT int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, 260 const EC_POINT *a, const EC_POINT *b, 261 BN_CTX *ctx); 262 263 /* EC_POINT_dbl sets |r| equal to |a| plus |a|. It returns one on success and 264 * zero otherwise. If |ctx| is not NULL, it may be used. */ 265 OPENSSL_EXPORT int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, 266 const EC_POINT *a, BN_CTX *ctx); 267 268 /* EC_POINT_dbl sets |a| equal to minus |a|. It returns one on success and zero 269 * otherwise. If |ctx| is not NULL, it may be used. */ 270 OPENSSL_EXPORT int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, 271 BN_CTX *ctx); 272 273 /* EC_POINT_mul sets r = generator*n + q*m. It returns one on success and zero 274 * otherwise. If |ctx| is not NULL, it may be used. */ 275 OPENSSL_EXPORT int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, 276 const BIGNUM *n, const EC_POINT *q, 277 const BIGNUM *m, BN_CTX *ctx); 278 279 /* EC_POINTs_mul sets r = generator*n + sum(p[i]*m[i]). It returns one on 280 * success and zero otherwise. If |ctx| is not NULL, it may be used. */ 281 OPENSSL_EXPORT int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, 282 const BIGNUM *n, size_t num, 283 const EC_POINT *p[], const BIGNUM *m[], 284 BN_CTX *ctx); 285 286 287 /* Deprecated functions. */ 288 289 /* EC_GROUP_new_curve_GFp creates a new, arbitrary elliptic curve group based 290 * on the equation y² = x³ + a·x + b. It returns the new group or NULL on 291 * error. 292 * 293 * |EC_GROUP|s returned by this function will always compare as unequal via 294 * |EC_GROUP_cmp| (even to themselves). |EC_GROUP_get_curve_name| will always 295 * return |NID_undef|. */ 296 OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, 297 const BIGNUM *a, 298 const BIGNUM *b, BN_CTX *ctx); 299 300 /* EC_GROUP_set_generator sets the generator for |group| to |generator|, which 301 * must have the given order and cofactor. This should only be used with 302 * |EC_GROUP| objects returned by |EC_GROUP_new_curve_GFp|. */ 303 OPENSSL_EXPORT int EC_GROUP_set_generator(EC_GROUP *group, 304 const EC_POINT *generator, 305 const BIGNUM *order, 306 const BIGNUM *cofactor); 307 308 /* EC_GROUP_set_asn1_flag does nothing. */ 309 OPENSSL_EXPORT void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); 310 311 #define OPENSSL_EC_NAMED_CURVE 0 312 313 typedef struct ec_method_st EC_METHOD; 314 315 /* EC_GROUP_method_of returns NULL. */ 316 OPENSSL_EXPORT const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); 317 318 /* EC_METHOD_get_field_type returns NID_X9_62_prime_field. */ 319 OPENSSL_EXPORT int EC_METHOD_get_field_type(const EC_METHOD *meth); 320 321 /* EC_GROUP_set_point_conversion_form aborts the process if |form| is not 322 * |POINT_CONVERSION_UNCOMPRESSED| and otherwise does nothing. */ 323 OPENSSL_EXPORT void EC_GROUP_set_point_conversion_form( 324 EC_GROUP *group, point_conversion_form_t form); 325 326 327 /* Old code expects to get EC_KEY from ec.h. */ 328 #if !defined(OPENSSL_HEADER_EC_KEY_H) 329 #include <openssl/ec_key.h> 330 #endif 331 332 333 #if defined(__cplusplus) 334 } /* extern C */ 335 #endif 336 337 #define EC_F_EC_GROUP_copy 100 338 #define EC_F_EC_GROUP_get_curve_GFp 101 339 #define EC_F_EC_GROUP_get_degree 102 340 #define EC_F_EC_GROUP_new_by_curve_name 103 341 #define EC_F_EC_KEY_check_key 104 342 #define EC_F_EC_KEY_copy 105 343 #define EC_F_EC_KEY_generate_key 106 344 #define EC_F_EC_KEY_new_method 107 345 #define EC_F_EC_KEY_set_public_key_affine_coordinates 108 346 #define EC_F_EC_POINT_add 109 347 #define EC_F_EC_POINT_cmp 110 348 #define EC_F_EC_POINT_copy 111 349 #define EC_F_EC_POINT_dbl 112 350 #define EC_F_EC_POINT_dup 113 351 #define EC_F_EC_POINT_get_affine_coordinates_GFp 114 352 #define EC_F_EC_POINT_invert 115 353 #define EC_F_EC_POINT_is_at_infinity 116 354 #define EC_F_EC_POINT_is_on_curve 117 355 #define EC_F_EC_POINT_make_affine 118 356 #define EC_F_EC_POINT_new 119 357 #define EC_F_EC_POINT_oct2point 120 358 #define EC_F_EC_POINT_point2oct 121 359 #define EC_F_EC_POINT_set_affine_coordinates_GFp 122 360 #define EC_F_EC_POINT_set_compressed_coordinates_GFp 123 361 #define EC_F_EC_POINT_set_to_infinity 124 362 #define EC_F_EC_POINTs_make_affine 125 363 #define EC_F_compute_wNAF 126 364 #define EC_F_d2i_ECPKParameters 127 365 #define EC_F_d2i_ECParameters 128 366 #define EC_F_d2i_ECPrivateKey 129 367 #define EC_F_ec_GFp_mont_field_decode 130 368 #define EC_F_ec_GFp_mont_field_encode 131 369 #define EC_F_ec_GFp_mont_field_mul 132 370 #define EC_F_ec_GFp_mont_field_set_to_one 133 371 #define EC_F_ec_GFp_mont_field_sqr 134 372 #define EC_F_ec_GFp_mont_group_set_curve 135 373 #define EC_F_ec_GFp_simple_group_check_discriminant 136 374 #define EC_F_ec_GFp_simple_group_set_curve 137 375 #define EC_F_ec_GFp_simple_make_affine 138 376 #define EC_F_ec_GFp_simple_oct2point 139 377 #define EC_F_ec_GFp_simple_point2oct 140 378 #define EC_F_ec_GFp_simple_point_get_affine_coordinates 141 379 #define EC_F_ec_GFp_simple_point_set_affine_coordinates 142 380 #define EC_F_ec_GFp_simple_points_make_affine 143 381 #define EC_F_ec_GFp_simple_set_compressed_coordinates 144 382 #define EC_F_ec_asn1_group2pkparameters 145 383 #define EC_F_ec_asn1_pkparameters2group 146 384 #define EC_F_ec_group_new 147 385 #define EC_F_ec_group_new_curve_GFp 148 386 #define EC_F_ec_group_new_from_data 149 387 #define EC_F_ec_point_set_Jprojective_coordinates_GFp 150 388 #define EC_F_ec_pre_comp_new 151 389 #define EC_F_ec_wNAF_mul 152 390 #define EC_F_ec_wNAF_precompute_mult 153 391 #define EC_F_i2d_ECPKParameters 154 392 #define EC_F_i2d_ECParameters 155 393 #define EC_F_i2d_ECPrivateKey 156 394 #define EC_F_i2o_ECPublicKey 157 395 #define EC_F_o2i_ECPublicKey 158 396 #define EC_F_BN_to_felem 159 397 #define EC_F_ec_GFp_nistp256_group_set_curve 160 398 #define EC_F_ec_GFp_nistp256_point_get_affine_coordinates 161 399 #define EC_F_ec_GFp_nistp256_points_mul 162 400 #define EC_F_ec_group_copy 163 401 #define EC_F_nistp256_pre_comp_new 164 402 #define EC_F_EC_KEY_new_by_curve_name 165 403 #define EC_F_EC_GROUP_new_curve_GFp 166 404 #define EC_R_BUFFER_TOO_SMALL 100 405 #define EC_R_COORDINATES_OUT_OF_RANGE 101 406 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 102 407 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 103 408 #define EC_R_GROUP2PKPARAMETERS_FAILURE 104 409 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 105 410 #define EC_R_INCOMPATIBLE_OBJECTS 106 411 #define EC_R_INVALID_COMPRESSED_POINT 107 412 #define EC_R_INVALID_COMPRESSION_BIT 108 413 #define EC_R_INVALID_ENCODING 109 414 #define EC_R_INVALID_FIELD 110 415 #define EC_R_INVALID_FORM 111 416 #define EC_R_INVALID_GROUP_ORDER 112 417 #define EC_R_INVALID_PRIVATE_KEY 113 418 #define EC_R_MISSING_PARAMETERS 114 419 #define EC_R_MISSING_PRIVATE_KEY 115 420 #define EC_R_NON_NAMED_CURVE 116 421 #define EC_R_NOT_INITIALIZED 117 422 #define EC_R_PKPARAMETERS2GROUP_FAILURE 118 423 #define EC_R_POINT_AT_INFINITY 119 424 #define EC_R_POINT_IS_NOT_ON_CURVE 120 425 #define EC_R_SLOT_FULL 121 426 #define EC_R_UNDEFINED_GENERATOR 122 427 #define EC_R_UNKNOWN_GROUP 123 428 #define EC_R_UNKNOWN_ORDER 124 429 #define EC_R_WRONG_ORDER 125 430 #define EC_R_BIGNUM_OUT_OF_RANGE 126 431 #define EC_R_WRONG_CURVE_PARAMETERS 127 432 433 #endif /* OPENSSL_HEADER_EC_H */ 434