7c21925a10
(I got this wrong when reading the OpenSSL code.) Change-Id: Ib289ef41d0ab5a3157ad8b9454d2de96d1f86c22 Reviewed-on: https://boringssl-review.googlesource.com/3620 Reviewed-by: Adam Langley <agl@google.com>
388 lines
17 KiB
C
388 lines
17 KiB
C
/* Originally written by Bodo Moeller for the OpenSSL project.
|
|
* ====================================================================
|
|
* Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
|
|
*
|
|
* Redistribution and use in source and binary forms, with or without
|
|
* modification, are permitted provided that the following conditions
|
|
* are met:
|
|
*
|
|
* 1. Redistributions of source code must retain the above copyright
|
|
* notice, this list of conditions and the following disclaimer.
|
|
*
|
|
* 2. Redistributions in binary form must reproduce the above copyright
|
|
* notice, this list of conditions and the following disclaimer in
|
|
* the documentation and/or other materials provided with the
|
|
* distribution.
|
|
*
|
|
* 3. All advertising materials mentioning features or use of this
|
|
* software must display the following acknowledgment:
|
|
* "This product includes software developed by the OpenSSL Project
|
|
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
|
|
*
|
|
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
|
|
* endorse or promote products derived from this software without
|
|
* prior written permission. For written permission, please contact
|
|
* openssl-core@openssl.org.
|
|
*
|
|
* 5. Products derived from this software may not be called "OpenSSL"
|
|
* nor may "OpenSSL" appear in their names without prior written
|
|
* permission of the OpenSSL Project.
|
|
*
|
|
* 6. Redistributions of any form whatsoever must retain the following
|
|
* acknowledgment:
|
|
* "This product includes software developed by the OpenSSL Project
|
|
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
|
|
*
|
|
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
|
|
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
|
|
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
|
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
|
|
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
|
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
|
|
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
|
|
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
|
|
* OF THE POSSIBILITY OF SUCH DAMAGE.
|
|
* ====================================================================
|
|
*
|
|
* This product includes cryptographic software written by Eric Young
|
|
* (eay@cryptsoft.com). This product includes software written by Tim
|
|
* Hudson (tjh@cryptsoft.com).
|
|
*
|
|
*/
|
|
/* ====================================================================
|
|
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
|
|
*
|
|
* Portions of the attached software ("Contribution") are developed by
|
|
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
|
|
*
|
|
* The Contribution is licensed pursuant to the OpenSSL open source
|
|
* license provided above.
|
|
*
|
|
* The elliptic curve binary polynomial software is originally written by
|
|
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
|
|
* Laboratories. */
|
|
|
|
#ifndef OPENSSL_HEADER_EC_H
|
|
#define OPENSSL_HEADER_EC_H
|
|
|
|
#include <openssl/base.h>
|
|
|
|
#if defined(__cplusplus)
|
|
extern "C" {
|
|
#endif
|
|
|
|
|
|
/* Low-level operations on elliptic curves. */
|
|
|
|
|
|
typedef struct ec_group_st EC_GROUP;
|
|
typedef struct ec_point_st EC_POINT;
|
|
|
|
/** Enum for the point conversion form as defined in X9.62 (ECDSA)
|
|
* for the encoding of a elliptic curve point (x,y) */
|
|
typedef enum {
|
|
/** the point is encoded as z||x, where the octet z specifies
|
|
* which solution of the quadratic equation y is */
|
|
POINT_CONVERSION_COMPRESSED = 2,
|
|
/** the point is encoded as z||x||y, where z is the octet 0x02 */
|
|
POINT_CONVERSION_UNCOMPRESSED = 4
|
|
} point_conversion_form_t;
|
|
|
|
|
|
/* Elliptic curve groups. */
|
|
|
|
/* EC_GROUP_new_by_curve_name returns a fresh EC_GROUP object for the elliptic
|
|
* curve specified by |nid|, or NULL on error.
|
|
*
|
|
* The supported NIDs are:
|
|
* NID_secp224r1,
|
|
* NID_X9_62_prime256v1,
|
|
* NID_secp384r1,
|
|
* NID_secp521r1 */
|
|
OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
|
|
|
|
/* EC_GROUP_free frees |group| and the data that it points to. */
|
|
OPENSSL_EXPORT void EC_GROUP_free(EC_GROUP *group);
|
|
|
|
/* EC_GROUP_copy sets |*dest| equal to |*src|. It returns one on success and
|
|
* zero otherwise. */
|
|
OPENSSL_EXPORT int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src);
|
|
|
|
/* EC_GROUP_dup returns a fresh |EC_GROUP| which is equal to |a| or NULL on
|
|
* error. */
|
|
OPENSSL_EXPORT EC_GROUP *EC_GROUP_dup(const EC_GROUP *a);
|
|
|
|
/* EC_GROUP_cmp returns zero if |a| and |b| are the same group and non-zero
|
|
* otherwise. */
|
|
OPENSSL_EXPORT int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b,
|
|
BN_CTX *ignored);
|
|
|
|
/* EC_GROUP_get0_generator returns a pointer to the internal |EC_POINT| object
|
|
* in |group| that specifies the generator for the group. */
|
|
OPENSSL_EXPORT const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
|
|
|
|
/* EC_GROUP_get_order sets |*order| to the order of |group|, if it's not
|
|
* NULL. It returns one on success and zero otherwise. |ctx| is ignored. */
|
|
OPENSSL_EXPORT int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_GROUP_get_cofactor sets |*cofactor| to the cofactor of |group| using
|
|
* |ctx|, if it's not NULL. It returns one on success and zero otherwise. */
|
|
OPENSSL_EXPORT int EC_GROUP_get_cofactor(const EC_GROUP *group,
|
|
BIGNUM *cofactor, BN_CTX *ctx);
|
|
|
|
/* EC_GROUP_get_curve_GFp gets various parameters about a group. It sets
|
|
* |*out_p| to the order of the coordinate field and |*out_a| and |*out_b| to
|
|
* the parameters of the curve when expressed as y² = x³ + ax + b. Any of the
|
|
* output parameters can be NULL. It returns one on success and zero on
|
|
* error. */
|
|
OPENSSL_EXPORT int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p,
|
|
BIGNUM *out_a, BIGNUM *out_b,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_GROUP_get_curve_name returns a NID that identifies |group|. */
|
|
OPENSSL_EXPORT int EC_GROUP_get_curve_name(const EC_GROUP *group);
|
|
|
|
/* EC_GROUP_get_degree returns the number of bits needed to represent an
|
|
* element of the field underlying |group|. */
|
|
OPENSSL_EXPORT int EC_GROUP_get_degree(const EC_GROUP *group);
|
|
|
|
/* EC_GROUP_precompute_mult precomputes multiplies of the generator in order to
|
|
* speed up operations that involve calculating generator multiples. It returns
|
|
* one on sucess and zero otherwise. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
|
|
|
|
/* EC_GROUP_have_precompute_mult returns one if |group| contains precomputed
|
|
* generator multiples. */
|
|
OPENSSL_EXPORT int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
|
|
|
|
|
|
/* Points on elliptic curves. */
|
|
|
|
/* EC_POINT_new returns a fresh |EC_POINT| object in the given group, or NULL
|
|
* on error. */
|
|
OPENSSL_EXPORT EC_POINT *EC_POINT_new(const EC_GROUP *group);
|
|
|
|
/* EC_POINT_free frees |point| and the data that it points to. */
|
|
OPENSSL_EXPORT void EC_POINT_free(EC_POINT *point);
|
|
|
|
/* EC_POINT_clear_free clears the data that |point| points to, frees it and
|
|
* then frees |point| itself. */
|
|
OPENSSL_EXPORT void EC_POINT_clear_free(EC_POINT *point);
|
|
|
|
/* EC_POINT_copy sets |*dest| equal to |*src|. It returns one on success and
|
|
* zero otherwise. */
|
|
OPENSSL_EXPORT int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src);
|
|
|
|
/* EC_POINT_dup returns a fresh |EC_POINT| that contains the same values as
|
|
* |src|, or NULL on error. */
|
|
OPENSSL_EXPORT EC_POINT *EC_POINT_dup(const EC_POINT *src,
|
|
const EC_GROUP *group);
|
|
|
|
/* EC_POINT_set_to_infinity sets |point| to be the "point at infinity" for the
|
|
* given group. */
|
|
OPENSSL_EXPORT int EC_POINT_set_to_infinity(const EC_GROUP *group,
|
|
EC_POINT *point);
|
|
|
|
/* EC_POINT_is_at_infinity returns one iff |point| is the point at infinity and
|
|
* zero otherwise. */
|
|
OPENSSL_EXPORT int EC_POINT_is_at_infinity(const EC_GROUP *group,
|
|
const EC_POINT *point);
|
|
|
|
/* EC_POINT_is_on_curve returns one if |point| is an element of |group| and
|
|
* zero otheriwse. If |ctx| is non-NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINT_is_on_curve(const EC_GROUP *group,
|
|
const EC_POINT *point, BN_CTX *ctx);
|
|
|
|
/* EC_POINT_cmp returns zero if |a| is equal to |b|, greater than zero is
|
|
* non-equal and -1 on error. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a,
|
|
const EC_POINT *b, BN_CTX *ctx);
|
|
|
|
/* EC_POINT_make_affine converts |point| to affine form, internally. It returns
|
|
* one on success and zero otherwise. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_POINTs_make_affine converts |num| points from |points| to affine form,
|
|
* internally. It returns one on success and zero otherwise. If |ctx| is not
|
|
* NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
|
|
EC_POINT *points[], BN_CTX *ctx);
|
|
|
|
|
|
/* Point conversion. */
|
|
|
|
/* EC_POINT_get_affine_coordinates_GFp sets |x| and |y| to the affine value of
|
|
* |point| using |ctx|, if it's not NULL. It returns one on success and zero
|
|
* otherwise. */
|
|
OPENSSL_EXPORT int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
|
|
const EC_POINT *point,
|
|
BIGNUM *x, BIGNUM *y,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_POINT_set_affine_coordinates sets the value of |p| to be (|x|, |y|). The
|
|
* |ctx| argument may be used if not NULL. */
|
|
OPENSSL_EXPORT int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
|
|
EC_POINT *point,
|
|
const BIGNUM *x,
|
|
const BIGNUM *y,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_POINT_point2oct serialises |point| into the X9.62 form given by |form|
|
|
* into, at most, |len| bytes at |buf|. It returns the number of bytes written
|
|
* or zero on error if |buf| is non-NULL, else the number of bytes needed. The
|
|
* |ctx| argument may be used if not NULL. */
|
|
OPENSSL_EXPORT size_t EC_POINT_point2oct(const EC_GROUP *group,
|
|
const EC_POINT *point,
|
|
point_conversion_form_t form,
|
|
uint8_t *buf, size_t len, BN_CTX *ctx);
|
|
|
|
/* EC_POINT_oct2point sets |point| from |len| bytes of X9.62 format
|
|
* serialisation in |buf|. It returns one on success and zero otherwise. The
|
|
* |ctx| argument may be used if not NULL. */
|
|
OPENSSL_EXPORT int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
|
|
const uint8_t *buf, size_t len,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_POINT_set_compressed_coordinates_GFp sets |point| to equal the point with
|
|
* the given |x| coordinate and the y coordinate specified by |y_bit| (see
|
|
* X9.62). It returns one on success and zero otherwise. */
|
|
OPENSSL_EXPORT int EC_POINT_set_compressed_coordinates_GFp(
|
|
const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, int y_bit,
|
|
BN_CTX *ctx);
|
|
|
|
|
|
/* Group operations. */
|
|
|
|
/* EC_POINT_add sets |r| equal to |a| plus |b|. It returns one on success and
|
|
* zero otherwise. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINT_add(const EC_GROUP *group, EC_POINT *r,
|
|
const EC_POINT *a, const EC_POINT *b,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_POINT_dbl sets |r| equal to |a| plus |a|. It returns one on success and
|
|
* zero otherwise. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r,
|
|
const EC_POINT *a, BN_CTX *ctx);
|
|
|
|
/* EC_POINT_dbl sets |a| equal to minus |a|. It returns one on success and zero
|
|
* otherwise. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a,
|
|
BN_CTX *ctx);
|
|
|
|
/* EC_POINT_mul sets r = generator*n + q*m. It returns one on success and zero
|
|
* otherwise. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r,
|
|
const BIGNUM *n, const EC_POINT *q,
|
|
const BIGNUM *m, BN_CTX *ctx);
|
|
|
|
/* EC_POINTs_mul sets r = generator*n + sum(p[i]*m[i]). It returns one on
|
|
* success and zero otherwise. If |ctx| is not NULL, it may be used. */
|
|
OPENSSL_EXPORT int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r,
|
|
const BIGNUM *n, size_t num,
|
|
const EC_POINT *p[], const BIGNUM *m[],
|
|
BN_CTX *ctx);
|
|
|
|
|
|
/* Old code expects to get EC_KEY from ec.h. */
|
|
#if !defined(OPENSSL_HEADER_EC_KEY_H)
|
|
#include <openssl/ec_key.h>
|
|
#endif
|
|
|
|
|
|
#if defined(__cplusplus)
|
|
} /* extern C */
|
|
#endif
|
|
|
|
#define EC_F_EC_GROUP_copy 100
|
|
#define EC_F_EC_GROUP_get_curve_GFp 101
|
|
#define EC_F_EC_GROUP_get_degree 102
|
|
#define EC_F_EC_GROUP_new_by_curve_name 103
|
|
#define EC_F_EC_KEY_check_key 104
|
|
#define EC_F_EC_KEY_copy 105
|
|
#define EC_F_EC_KEY_generate_key 106
|
|
#define EC_F_EC_KEY_new_method 107
|
|
#define EC_F_EC_KEY_set_public_key_affine_coordinates 108
|
|
#define EC_F_EC_POINT_add 109
|
|
#define EC_F_EC_POINT_cmp 110
|
|
#define EC_F_EC_POINT_copy 111
|
|
#define EC_F_EC_POINT_dbl 112
|
|
#define EC_F_EC_POINT_dup 113
|
|
#define EC_F_EC_POINT_get_affine_coordinates_GFp 114
|
|
#define EC_F_EC_POINT_invert 115
|
|
#define EC_F_EC_POINT_is_at_infinity 116
|
|
#define EC_F_EC_POINT_is_on_curve 117
|
|
#define EC_F_EC_POINT_make_affine 118
|
|
#define EC_F_EC_POINT_new 119
|
|
#define EC_F_EC_POINT_oct2point 120
|
|
#define EC_F_EC_POINT_point2oct 121
|
|
#define EC_F_EC_POINT_set_affine_coordinates_GFp 122
|
|
#define EC_F_EC_POINT_set_compressed_coordinates_GFp 123
|
|
#define EC_F_EC_POINT_set_to_infinity 124
|
|
#define EC_F_EC_POINTs_make_affine 125
|
|
#define EC_F_compute_wNAF 126
|
|
#define EC_F_d2i_ECPKParameters 127
|
|
#define EC_F_d2i_ECParameters 128
|
|
#define EC_F_d2i_ECPrivateKey 129
|
|
#define EC_F_ec_GFp_mont_field_decode 130
|
|
#define EC_F_ec_GFp_mont_field_encode 131
|
|
#define EC_F_ec_GFp_mont_field_mul 132
|
|
#define EC_F_ec_GFp_mont_field_set_to_one 133
|
|
#define EC_F_ec_GFp_mont_field_sqr 134
|
|
#define EC_F_ec_GFp_mont_group_set_curve 135
|
|
#define EC_F_ec_GFp_simple_group_check_discriminant 136
|
|
#define EC_F_ec_GFp_simple_group_set_curve 137
|
|
#define EC_F_ec_GFp_simple_make_affine 138
|
|
#define EC_F_ec_GFp_simple_oct2point 139
|
|
#define EC_F_ec_GFp_simple_point2oct 140
|
|
#define EC_F_ec_GFp_simple_point_get_affine_coordinates 141
|
|
#define EC_F_ec_GFp_simple_point_set_affine_coordinates 142
|
|
#define EC_F_ec_GFp_simple_points_make_affine 143
|
|
#define EC_F_ec_GFp_simple_set_compressed_coordinates 144
|
|
#define EC_F_ec_asn1_group2pkparameters 145
|
|
#define EC_F_ec_asn1_pkparameters2group 146
|
|
#define EC_F_ec_group_new 147
|
|
#define EC_F_ec_group_new_curve_GFp 148
|
|
#define EC_F_ec_group_new_from_data 149
|
|
#define EC_F_ec_point_set_Jprojective_coordinates_GFp 150
|
|
#define EC_F_ec_pre_comp_new 151
|
|
#define EC_F_ec_wNAF_mul 152
|
|
#define EC_F_ec_wNAF_precompute_mult 153
|
|
#define EC_F_i2d_ECPKParameters 154
|
|
#define EC_F_i2d_ECParameters 155
|
|
#define EC_F_i2d_ECPrivateKey 156
|
|
#define EC_F_i2o_ECPublicKey 157
|
|
#define EC_F_o2i_ECPublicKey 158
|
|
#define EC_R_BUFFER_TOO_SMALL 100
|
|
#define EC_R_COORDINATES_OUT_OF_RANGE 101
|
|
#define EC_R_D2I_ECPKPARAMETERS_FAILURE 102
|
|
#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 103
|
|
#define EC_R_GROUP2PKPARAMETERS_FAILURE 104
|
|
#define EC_R_I2D_ECPKPARAMETERS_FAILURE 105
|
|
#define EC_R_INCOMPATIBLE_OBJECTS 106
|
|
#define EC_R_INVALID_COMPRESSED_POINT 107
|
|
#define EC_R_INVALID_COMPRESSION_BIT 108
|
|
#define EC_R_INVALID_ENCODING 109
|
|
#define EC_R_INVALID_FIELD 110
|
|
#define EC_R_INVALID_FORM 111
|
|
#define EC_R_INVALID_GROUP_ORDER 112
|
|
#define EC_R_INVALID_PRIVATE_KEY 113
|
|
#define EC_R_MISSING_PARAMETERS 114
|
|
#define EC_R_MISSING_PRIVATE_KEY 115
|
|
#define EC_R_NON_NAMED_CURVE 116
|
|
#define EC_R_NOT_INITIALIZED 117
|
|
#define EC_R_PKPARAMETERS2GROUP_FAILURE 118
|
|
#define EC_R_POINT_AT_INFINITY 119
|
|
#define EC_R_POINT_IS_NOT_ON_CURVE 120
|
|
#define EC_R_SLOT_FULL 121
|
|
#define EC_R_UNDEFINED_GENERATOR 122
|
|
#define EC_R_UNKNOWN_GROUP 123
|
|
#define EC_R_UNKNOWN_ORDER 124
|
|
#define EC_R_WRONG_ORDER 125
|
|
|
|
#endif /* OPENSSL_HEADER_EC_H */
|