/* $OpenBSD: ec_local.h,v 1.37 2024/11/12 10:53:22 tb Exp $ */ /* * Originally written by Bodo Moeller for the OpenSSL project. */ /* ==================================================================== * Copyright (c) 1998-2010 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. * */ #include #include #include #include #include "bn_local.h" __BEGIN_HIDDEN_DECLS #if defined(__SUNPRO_C) # if __SUNPRO_C >= 0x520 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) # endif #endif struct ec_method_st { int field_type; int (*group_init)(EC_GROUP *); void (*group_finish)(EC_GROUP *); int (*group_copy)(EC_GROUP *, const EC_GROUP *); int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); int (*group_get_degree)(const EC_GROUP *); int (*group_order_bits)(const EC_GROUP *); int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); int (*point_init)(EC_POINT *); void (*point_finish)(EC_POINT *); int (*point_copy)(EC_POINT *, const EC_POINT *); int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *); int (*point_set_Jprojective_coordinates)(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); int (*point_get_Jprojective_coordinates)(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, BN_CTX *); int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BN_CTX *); int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *, const BIGNUM *x, int y_bit, BN_CTX *); int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *); int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *); int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *); int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); int (*mul_generator_ct)(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar, BN_CTX *); int (*mul_single_ct)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, const EC_POINT *point, BN_CTX *); int (*mul_double_nonct)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, const BIGNUM *p_scalar, const EC_POINT *point, BN_CTX *); /* * Internal methods. */ /* * These can be used by 'add' and 'dbl' so that the same implementations * of point operations can be used with different optimized versions of * expensive field operations. */ int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* Encode to and decode from other forms (e.g. Montgomery). */ int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *); int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); } /* EC_METHOD */; struct ec_group_st { /* * Methods and members exposed via the public API. */ const EC_METHOD *meth; EC_POINT *generator; /* Optional */ BIGNUM order; BIGNUM cofactor; int curve_name; /* Optional NID for named curve. */ /* ASN.1 encoding controls. */ int asn1_flag; point_conversion_form_t asn1_form; /* Optional seed for parameters (appears in ASN.1). */ unsigned char *seed; size_t seed_len; /* * Internal methods and members. Handled by the method functions, even * if they appear to be generic. */ /* * Field specification. For GF(p) this is the modulus; for GF(2^m), * this is the irreducible polynomial defining the field. */ BIGNUM field; /* * Curve coefficients. In characteristic > 3, the curve is defined by a * Weierstrass equation of the form y^2 = x^3 + a*x + b. */ BIGNUM a, b; /* Enables optimized point arithmetics for special case. */ int a_is_minus3; /* Montgomery context and values used by EC_GFp_mont_method. */ BN_MONT_CTX *mont_ctx; BIGNUM *mont_one; } /* EC_GROUP */; struct ec_key_st { const EC_KEY_METHOD *meth; int version; EC_GROUP *group; EC_POINT *pub_key; BIGNUM *priv_key; unsigned int enc_flag; point_conversion_form_t conv_form; int references; int flags; CRYPTO_EX_DATA ex_data; } /* EC_KEY */; struct ec_point_st { const EC_METHOD *meth; /* * All members except 'meth' are handled by the method functions, * even if they appear generic. */ /* * Jacobian projective coordinates: (X, Y, Z) represents (X/Z^2, Y/Z^3) * if Z != 0 */ BIGNUM X; BIGNUM Y; BIGNUM Z; int Z_is_one; /* enable optimized point arithmetics for special case */ } /* EC_POINT */; /* method functions in ec_mult.c * (ec_lib.c uses these as defaults if group->method->mul is 0) */ int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); int ec_group_simple_order_bits(const EC_GROUP *group); int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); /* EC_METHOD definitions */ struct ec_key_method_st { const char *name; int32_t flags; int (*init)(EC_KEY *key); void (*finish)(EC_KEY *key); int (*copy)(EC_KEY *dest, const EC_KEY *src); int (*set_group)(EC_KEY *key, const EC_GROUP *grp); int (*set_private)(EC_KEY *key, const BIGNUM *priv_key); int (*set_public)(EC_KEY *key, const EC_POINT *pub_key); int (*keygen)(EC_KEY *key); int (*compute_key)(unsigned char **out, size_t *out_len, const EC_POINT *pub_key, const EC_KEY *ecdh); int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char *sig, unsigned int *siglen, const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey); int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, BIGNUM **rp); ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len, const BIGNUM *in_kinv, const BIGNUM *in_r, EC_KEY *eckey); int (*verify)(int type, const unsigned char *dgst, int dgst_len, const unsigned char *sigbuf, int sig_len, EC_KEY *eckey); int (*verify_sig)(const unsigned char *dgst, int dgst_len, const ECDSA_SIG *sig, EC_KEY *eckey); } /* EC_KEY_METHOD */; #define EC_KEY_METHOD_DYNAMIC 1 int eckey_compute_pubkey(EC_KEY *eckey); int ec_key_gen(EC_KEY *eckey); int ecdh_compute_key(unsigned char **out, size_t *out_len, const EC_POINT *pub_key, const EC_KEY *ecdh); int ecdsa_verify(int type, const unsigned char *dgst, int dgst_len, const unsigned char *sigbuf, int sig_len, EC_KEY *eckey); int ecdsa_verify_sig(const unsigned char *dgst, int dgst_len, const ECDSA_SIG *sig, EC_KEY *eckey); /* * ECDH Key Derivation Function as defined in ANSI X9.63. */ int ecdh_KDF_X9_63(unsigned char *out, size_t outlen, const unsigned char *Z, size_t Zlen, const unsigned char *sinfo, size_t sinfolen, const EVP_MD *md); int EC_POINT_set_Jprojective_coordinates(const EC_GROUP *group, EC_POINT *p, const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx); int EC_POINT_get_Jprojective_coordinates(const EC_GROUP *group, const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx); int ec_group_is_builtin_curve(const EC_GROUP *group); int ec_group_get_field_type(const EC_GROUP *group); /* * Wrappers around the unergonomic EC_POINT_{oct2point,point2oct}(). */ int ec_point_from_octets(const EC_GROUP *group, const unsigned char *buf, size_t buf_len, EC_POINT **out_point, uint8_t *out_form, BN_CTX *ctx_in); int ec_point_to_octets(const EC_GROUP *group, const EC_POINT *point, int form, unsigned char **out_buf, size_t *len, BN_CTX *ctx_in); /* Public API in OpenSSL */ const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group); const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group); __END_HIDDEN_DECLS