+++ /dev/null
-/*
- * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
- * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
- *
- * Licensed under the Apache License 2.0 (the "License"). You may not use
- * this file except in compliance with the License. You can obtain a copy
- * in the file LICENSE in the source distribution or at
- * https://www.openssl.org/source/license.html
- */
-
-#include <stdlib.h>
-
-#include <openssl/obj_mac.h>
-#include <openssl/ec.h>
-#include <openssl/bn.h>
-#include "internal/refcount.h"
-#include "crypto/ec.h"
-
-#if defined(__SUNPRO_C)
-# if __SUNPRO_C >= 0x520
-# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
-# endif
-#endif
-
-/* Use default functions for poin2oct, oct2point and compressed coordinates */
-#define EC_FLAGS_DEFAULT_OCT 0x1
-
-/* Use custom formats for EC_GROUP, EC_POINT and EC_KEY */
-#define EC_FLAGS_CUSTOM_CURVE 0x2
-
-/* Curve does not support signing operations */
-#define EC_FLAGS_NO_SIGN 0x4
-
-/*
- * 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_set_curve, EC_GROUP_get_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 *);
- 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_GFp,
- * EC_POINT_get_Jprojective_coordinates_GFp,
- * 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_GFp) (const EC_GROUP *,
- EC_POINT *, const BIGNUM *x,
- const BIGNUM *y,
- const BIGNUM *z, BN_CTX *);
- int (*point_get_Jprojective_coordinates_GFp) (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 (default implementations are used if the
- * 'mul' pointer is 0):
- */
- /*-
- * mul() calculates the value
- *
- * r := generator * scalar
- * + points[0] * scalars[0]
- * + ...
- * + points[num-1] * scalars[num-1].
- *
- * For a fixed point multiplication (scalar != NULL, num == 0)
- * or a variable point multiplication (scalar == NULL, num == 1),
- * mul() must use a constant time algorithm: in both cases callers
- * should provide an input scalar (either scalar or scalars[0])
- * in the range [0, ec_group_order); for robustness, implementers
- * should handle the case when the scalar has not been reduced, but
- * may treat it as an unusual input, without any constant-timeness
- * guarantee.
- */
- int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
- size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
- 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 *);
- /*-
- * 'field_inv' computes the multiplicative inverse of a in the field,
- * storing the result in r.
- *
- * If 'a' is zero (or equivalent), you'll get an EC_R_CANNOT_INVERT error.
- */
- int (*field_inv) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
- /* e.g. to Montgomery */
- int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
- BN_CTX *);
- /* e.g. from Montgomery */
- 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 *);
- /* private key operations */
- size_t (*priv2oct)(const EC_KEY *eckey, unsigned char *buf, size_t len);
- int (*oct2priv)(EC_KEY *eckey, const unsigned char *buf, size_t len);
- int (*set_private)(EC_KEY *eckey, const BIGNUM *priv_key);
- int (*keygen)(EC_KEY *eckey);
- int (*keycheck)(const EC_KEY *eckey);
- int (*keygenpub)(EC_KEY *eckey);
- int (*keycopy)(EC_KEY *dst, const EC_KEY *src);
- void (*keyfinish)(EC_KEY *eckey);
- /* custom ECDH operation */
- int (*ecdh_compute_key)(unsigned char **pout, size_t *poutlen,
- const EC_POINT *pub_key, const EC_KEY *ecdh);
- /* custom ECDSA */
- int (*ecdsa_sign_setup)(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinvp,
- BIGNUM **rp);
- ECDSA_SIG *(*ecdsa_sign_sig)(const unsigned char *dgst, int dgstlen,
- const BIGNUM *kinv, const BIGNUM *r,
- EC_KEY *eckey);
- int (*ecdsa_verify_sig)(const unsigned char *dgst, int dgstlen,
- const ECDSA_SIG *sig, EC_KEY *eckey);
- /* Inverse modulo order */
- int (*field_inverse_mod_ord)(const EC_GROUP *, BIGNUM *r,
- const BIGNUM *x, BN_CTX *);
- int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx);
- int (*ladder_pre)(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx);
- int (*ladder_step)(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx);
- int (*ladder_post)(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx);
-};
-
-/*
- * Types and functions to manipulate pre-computed values.
- */
-typedef struct nistp224_pre_comp_st NISTP224_PRE_COMP;
-typedef struct nistp256_pre_comp_st NISTP256_PRE_COMP;
-typedef struct nistp521_pre_comp_st NISTP521_PRE_COMP;
-typedef struct nistz256_pre_comp_st NISTZ256_PRE_COMP;
-typedef struct ec_pre_comp_st EC_PRE_COMP;
-
-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;
- /*
- * The following members are handled by the method functions, even if
- * they appear generic
- */
- /*
- * 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.
- */
- BIGNUM *field;
- /*
- * 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.
- */
- int poly[6];
- /*
- * 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.
- */
- BIGNUM *a, *b;
- /* enable optimized point arithmetics for special case */
- int a_is_minus3;
- /* method-specific (e.g., Montgomery structure) */
- void *field_data1;
- /* method-specific */
- void *field_data2;
- /* method-specific */
- int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *,
- BN_CTX *);
- /* data for ECDSA inverse */
- BN_MONT_CTX *mont_data;
-
- /*
- * Precomputed values for speed. The PCT_xxx names match the
- * pre_comp.xxx union names; see the SETPRECOMP and HAVEPRECOMP
- * macros, below.
- */
- enum {
- PCT_none,
- PCT_nistp224, PCT_nistp256, PCT_nistp521, PCT_nistz256,
- PCT_ec
- } pre_comp_type;
- union {
- NISTP224_PRE_COMP *nistp224;
- NISTP256_PRE_COMP *nistp256;
- NISTP521_PRE_COMP *nistp521;
- NISTZ256_PRE_COMP *nistz256;
- EC_PRE_COMP *ec;
- } pre_comp;
-
- OPENSSL_CTX *libctx;
-};
-
-#define SETPRECOMP(g, type, pre) \
- g->pre_comp_type = PCT_##type, g->pre_comp.type = pre
-#define HAVEPRECOMP(g, type) \
- g->pre_comp_type == PCT_##type && g->pre_comp.type != NULL
-
-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;
- CRYPTO_REF_COUNT references;
- int flags;
-#ifndef FIPS_MODE
- CRYPTO_EX_DATA ex_data;
-#endif
- CRYPTO_RWLOCK *lock;
- OPENSSL_CTX *libctx;
-};
-
-struct ec_point_st {
- const EC_METHOD *meth;
- /* NID for the curve if known */
- int curve_name;
- /*
- * 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 */
-};
-
-static ossl_inline int ec_point_is_compat(const EC_POINT *point,
- const EC_GROUP *group)
-{
- return group->meth == point->meth
- && (group->curve_name == 0
- || point->curve_name == 0
- || group->curve_name == point->curve_name);
-}
-
-NISTP224_PRE_COMP *EC_nistp224_pre_comp_dup(NISTP224_PRE_COMP *);
-NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
-NISTP521_PRE_COMP *EC_nistp521_pre_comp_dup(NISTP521_PRE_COMP *);
-NISTZ256_PRE_COMP *EC_nistz256_pre_comp_dup(NISTZ256_PRE_COMP *);
-NISTP256_PRE_COMP *EC_nistp256_pre_comp_dup(NISTP256_PRE_COMP *);
-EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *);
-
-void EC_pre_comp_free(EC_GROUP *group);
-void EC_nistp224_pre_comp_free(NISTP224_PRE_COMP *);
-void EC_nistp256_pre_comp_free(NISTP256_PRE_COMP *);
-void EC_nistp521_pre_comp_free(NISTP521_PRE_COMP *);
-void EC_nistz256_pre_comp_free(NISTZ256_PRE_COMP *);
-void EC_ec_pre_comp_free(EC_PRE_COMP *);
-
-/*
- * 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_GFp(const EC_GROUP *,
- EC_POINT *, const BIGNUM *x,
- const BIGNUM *y,
- const BIGNUM *z, BN_CTX *);
-int ec_GFp_simple_get_Jprojective_coordinates_GFp(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_field_inv(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_ladder_pre(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx);
-int ec_GFp_simple_ladder_step(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx);
-int ec_GFp_simple_ladder_post(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *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_inv(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 *);
-
-/* 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 *);
-
-#ifndef OPENSSL_NO_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);
-
-/* 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
-int ec_group_simple_order_bits(const EC_GROUP *group);
-
-#ifdef ECP_NISTZ256_ASM
-/** Returns GFp methods using montgomery multiplication, with x86-64 optimized
- * P256. See http://eprint.iacr.org/2013/816.
- * \return EC_METHOD object
- */
-const EC_METHOD *EC_GFp_nistz256_method(void);
-#endif
-#ifdef S390X_EC_ASM
-const EC_METHOD *EC_GFp_s390x_nistp256_method(void);
-const EC_METHOD *EC_GFp_s390x_nistp384_method(void);
-const EC_METHOD *EC_GFp_s390x_nistp521_method(void);
-#endif
-
-size_t ec_key_simple_priv2oct(const EC_KEY *eckey,
- unsigned char *buf, size_t len);
-int ec_key_simple_oct2priv(EC_KEY *eckey, const unsigned char *buf, size_t len);
-int ec_key_simple_generate_key(EC_KEY *eckey);
-int ec_key_simple_generate_public_key(EC_KEY *eckey);
-int ec_key_simple_check_key(const EC_KEY *eckey);
-
-int ec_curve_nid_from_params(const EC_GROUP *group, 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 **pout, size_t *poutlen,
- 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);
-};
-
-#define EC_KEY_METHOD_DYNAMIC 1
-
-EC_KEY *ec_key_new_method_int(OPENSSL_CTX *libctx, ENGINE *engine);
-
-int ossl_ec_key_gen(EC_KEY *eckey);
-int ossl_ecdh_compute_key(unsigned char **pout, size_t *poutlen,
- const EC_POINT *pub_key, const EC_KEY *ecdh);
-int ecdh_simple_compute_key(unsigned char **pout, size_t *poutlen,
- const EC_POINT *pub_key, const EC_KEY *ecdh);
-
-struct ECDSA_SIG_st {
- BIGNUM *r;
- BIGNUM *s;
-};
-
-int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
- BIGNUM **rp);
-int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
- unsigned char *sig, unsigned int *siglen,
- const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey);
-ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
- const BIGNUM *in_kinv, const BIGNUM *in_r,
- EC_KEY *eckey);
-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);
-int ecdsa_simple_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
- BIGNUM **rp);
-ECDSA_SIG *ecdsa_simple_sign_sig(const unsigned char *dgst, int dgst_len,
- const BIGNUM *in_kinv, const BIGNUM *in_r,
- EC_KEY *eckey);
-int ecdsa_simple_verify_sig(const unsigned char *dgst, int dgst_len,
- const ECDSA_SIG *sig, EC_KEY *eckey);
-
-int ED25519_sign(uint8_t *out_sig, const uint8_t *message, size_t message_len,
- const uint8_t public_key[32], const uint8_t private_key[32]);
-int ED25519_verify(const uint8_t *message, size_t message_len,
- const uint8_t signature[64], const uint8_t public_key[32]);
-void ED25519_public_from_private(uint8_t out_public_key[32],
- const uint8_t private_key[32]);
-
-int X25519(uint8_t out_shared_key[32], const uint8_t private_key[32],
- const uint8_t peer_public_value[32]);
-void X25519_public_from_private(uint8_t out_public_value[32],
- const uint8_t private_key[32]);
-
-/*-
- * This functions computes a single point multiplication over the EC group,
- * using, at a high level, a Montgomery ladder with conditional swaps, with
- * various timing attack defenses.
- *
- * It performs either a fixed point multiplication
- * (scalar * generator)
- * when point is NULL, or a variable point multiplication
- * (scalar * point)
- * when point is not NULL.
- *
- * `scalar` cannot be NULL and should be in the range [0,n) otherwise all
- * constant time bets are off (where n is the cardinality of the EC group).
- *
- * This function expects `group->order` and `group->cardinality` to be well
- * defined and non-zero: it fails with an error code otherwise.
- *
- * NB: This says nothing about the constant-timeness of the ladder step
- * implementation (i.e., the default implementation is based on EC_POINT_add and
- * EC_POINT_dbl, which of course are not constant time themselves) or the
- * underlying multiprecision arithmetic.
- *
- * The product is stored in `r`.
- *
- * This is an internal function: callers are in charge of ensuring that the
- * input parameters `group`, `r`, `scalar` and `ctx` are not NULL.
- *
- * Returns 1 on success, 0 otherwise.
- */
-int ec_scalar_mul_ladder(const EC_GROUP *group, EC_POINT *r,
- const BIGNUM *scalar, const EC_POINT *point,
- BN_CTX *ctx);
-
-int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx);
-
-static ossl_inline int ec_point_ladder_pre(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx)
-{
- if (group->meth->ladder_pre != NULL)
- return group->meth->ladder_pre(group, r, s, p, ctx);
-
- if (!EC_POINT_copy(s, p)
- || !EC_POINT_dbl(group, r, s, ctx))
- return 0;
-
- return 1;
-}
-
-static ossl_inline int ec_point_ladder_step(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx)
-{
- if (group->meth->ladder_step != NULL)
- return group->meth->ladder_step(group, r, s, p, ctx);
-
- if (!EC_POINT_add(group, s, r, s, ctx)
- || !EC_POINT_dbl(group, r, r, ctx))
- return 0;
-
- return 1;
-
-}
-
-static ossl_inline int ec_point_ladder_post(const EC_GROUP *group,
- EC_POINT *r, EC_POINT *s,
- EC_POINT *p, BN_CTX *ctx)
-{
- if (group->meth->ladder_post != NULL)
- return group->meth->ladder_post(group, r, s, p, ctx);
-
- return 1;
-}
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