/* $OpenBSD: ec_lcl.h,v 1.19 2021/12/04 16:08:32 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 #include "bn_lcl.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 #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) BIGNUM *bn_expand2(BIGNUM *a, int words); /* Use default functions for poin2oct, oct2point and compressed coordinates */ #define EC_FLAGS_DEFAULT_OCT 0x1 /* Structure details are not part of the exported interface, * so all this may change in future versions. */ struct ec_method_st { /* Various method flags */ int flags; /* used by EC_METHOD_get_field_type: */ int field_type; /* a NID */ /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */ int (*group_init)(EC_GROUP *); void (*group_finish)(EC_GROUP *); void (*group_clear_finish)(EC_GROUP *); int (*group_copy)(EC_GROUP *, const EC_GROUP *); /* used by EC_GROUP_{get,set}_curve */ 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 *); /* used by EC_GROUP_get_degree: */ int (*group_get_degree)(const EC_GROUP *); /* used by EC_GROUP_order_bits: */ int (*group_order_bits)(const EC_GROUP *); /* used by EC_GROUP_check: */ int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */ int (*point_init)(EC_POINT *); void (*point_finish)(EC_POINT *); void (*point_clear_finish)(EC_POINT *); int (*point_copy)(EC_POINT *, const EC_POINT *); /* * used by EC_POINT_set_to_infinity, * EC_POINT_set_Jprojective_coordinates, * EC_POINT_get_Jprojective_coordinates, * EC_POINT_set_affine_coordinates, * EC_POINT_get_affine_coordinates, * EC_POINT_set_compressed_coordinates: */ 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 *); /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, unsigned char *buf, size_t len, BN_CTX *); int (*oct2point)(const EC_GROUP *, EC_POINT *, const unsigned char *buf, size_t len, BN_CTX *); /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ 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 *); /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */ 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 *); /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult */ 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 *); int (*precompute_mult)(EC_GROUP *group, BN_CTX *); int (*have_precompute_mult)(const EC_GROUP *group); /* internal functions */ /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that * the same implementations of point operations can be used with different * optimized implementations 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 *); int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */ int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */ 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 */; typedef struct ec_extra_data_st { struct ec_extra_data_st *next; void *data; void *(*dup_func)(void *); void (*free_func)(void *); void (*clear_free_func)(void *); } EC_EXTRA_DATA; /* used in EC_GROUP */ struct ec_group_st { const EC_METHOD *meth; EC_POINT *generator; /* optional */ BIGNUM order, cofactor; int curve_name;/* optional NID for named curve */ int asn1_flag; /* flag to control the asn1 encoding */ point_conversion_form_t asn1_form; unsigned char *seed; /* optional seed for parameters (appears in ASN1) */ size_t seed_len; EC_EXTRA_DATA *extra_data; /* linked list */ /* The following members are handled by the method functions, * even if they appear generic */ BIGNUM field; /* Field specification. * For curves over GF(p), this is the modulus; * for curves over GF(2^m), this is the * irreducible polynomial defining the field. */ int poly[6]; /* Field specification for curves over GF(2^m). * The irreducible f(t) is then of the form: * t^poly[0] + t^poly[1] + ... + t^poly[k] * where m = poly[0] > poly[1] > ... > poly[k] = 0. * The array is terminated with poly[k+1]=-1. * All elliptic curve irreducibles have at most 5 * non-zero terms. */ BIGNUM a, b; /* Curve coefficients. * (Here the assumption is that BIGNUMs can be used * or abused for all kinds of fields, not just GF(p).) * For characteristic > 3, the curve is defined * by a Weierstrass equation of the form * y^2 = x^3 + a*x + b. * For characteristic 2, the curve is defined by * an equation of the form * y^2 + x*y = x^3 + a*x^2 + b. */ int a_is_minus3; /* enable optimized point arithmetics for special case */ void *field_data1; /* method-specific (e.g., Montgomery structure) */ void *field_data2; /* method-specific */ int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */ } /* EC_GROUP */; struct ec_key_st { const EC_KEY_METHOD *meth; ENGINE *engine; 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; EC_EXTRA_DATA *method_data; CRYPTO_EX_DATA ex_data; } /* EC_KEY */; /* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only * (with visibility limited to 'package' level for now). * We use the function pointers as index for retrieval; this obviates * global ex_data-style index tables. */ int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); void EC_EX_DATA_free_data(EC_EXTRA_DATA **, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **, void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **); void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **); int ec_group_simple_order_bits(const EC_GROUP *group); struct ec_point_st { const EC_METHOD *meth; /* All members except 'meth' are handled by the method functions, * even if they appear generic */ BIGNUM X; BIGNUM Y; BIGNUM Z; /* Jacobian projective coordinates: * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */ 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_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); int ec_wNAF_have_precompute_mult(const EC_GROUP *group); /* method functions in ecp_smpl.c */ int ec_GFp_simple_group_init(EC_GROUP *); void ec_GFp_simple_group_finish(EC_GROUP *); void ec_GFp_simple_group_clear_finish(EC_GROUP *); int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); int ec_GFp_simple_group_get_degree(const EC_GROUP *); int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); int ec_GFp_simple_point_init(EC_POINT *); void ec_GFp_simple_point_finish(EC_POINT *); void ec_GFp_simple_point_clear_finish(EC_POINT *); int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); int ec_GFp_simple_set_Jprojective_coordinates(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); int ec_GFp_simple_get_Jprojective_coordinates(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, BN_CTX *); int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BN_CTX *); int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, const BIGNUM *x, int y_bit, BN_CTX *); size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, unsigned char *buf, size_t len, BN_CTX *); int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, const unsigned char *buf, size_t len, BN_CTX *); int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); int ec_GFp_simple_mul_generator_ct(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar, BN_CTX *); int ec_GFp_simple_mul_single_ct(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar, const EC_POINT *point, BN_CTX *); int ec_GFp_simple_mul_double_nonct(const EC_GROUP *, EC_POINT *r, const BIGNUM *g_scalar, const BIGNUM *p_scalar, const EC_POINT *point, BN_CTX *); /* method functions in ecp_mont.c */ int ec_GFp_mont_group_init(EC_GROUP *); int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); void ec_GFp_mont_group_finish(EC_GROUP *); void ec_GFp_mont_group_clear_finish(EC_GROUP *); int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); /* method functions in ecp_nist.c */ int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* method functions in ec2_smpl.c */ int ec_GF2m_simple_group_init(EC_GROUP *); void ec_GF2m_simple_group_finish(EC_GROUP *); void ec_GF2m_simple_group_clear_finish(EC_GROUP *); int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); int ec_GF2m_simple_group_get_degree(const EC_GROUP *); int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); int ec_GF2m_simple_point_init(EC_POINT *); void ec_GF2m_simple_point_finish(EC_POINT *); void ec_GF2m_simple_point_clear_finish(EC_POINT *); int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, BN_CTX *); int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BN_CTX *); int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, const BIGNUM *x, int y_bit, BN_CTX *); size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, unsigned char *buf, size_t len, BN_CTX *); int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, const unsigned char *buf, size_t len, BN_CTX *); int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); /* method functions in ec2_mult.c */ int ec_GF2m_simple_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_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); int ec_GF2m_have_precompute_mult(const EC_GROUP *group); /* method functions in ec2_mult.c */ int ec_GF2m_simple_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_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); int ec_GF2m_have_precompute_mult(const EC_GROUP *group); #ifndef OPENSSL_EC_NISTP_64_GCC_128 /* method functions in ecp_nistp224.c */ int ec_GFp_nistp224_group_init(EC_GROUP *group); int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); int ec_GFp_nistp224_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_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx); int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); /* method functions in ecp_nistp256.c */ int ec_GFp_nistp256_group_init(EC_GROUP *group); int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); int ec_GFp_nistp256_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_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx); int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); #ifdef ECP_NISTZ256_ASM const EC_METHOD *EC_GFp_nistz256_method(void); #endif /* 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)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh, void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)); 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 ossl_ec_key_gen(EC_KEY *eckey); int ossl_ecdh_compute_key(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh, void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)); int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len, const unsigned char *sigbuf, int sig_len, EC_KEY *eckey); int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len, const ECDSA_SIG *sig, EC_KEY *eckey); /* method functions in ecp_nistp521.c */ int ec_GFp_nistp521_group_init(EC_GROUP *group); int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); int ec_GFp_nistp521_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_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx); int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); /* utility functions in ecp_nistputil.c */ void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, size_t felem_size, void *tmp_felems, void (*felem_one)(void *out), int (*felem_is_zero)(const void *in), void (*felem_assign)(void *out, const void *in), void (*felem_square)(void *out, const void *in), void (*felem_mul)(void *out, const void *in1, const void *in2), void (*felem_inv)(void *out, const void *in), void (*felem_contract)(void *out, const void *in)); void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, unsigned char *digit, unsigned char in); #endif __END_HIDDEN_DECLS