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- /*
- * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved.
- * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
- *
- * Licensed under the OpenSSL license (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 <openssl/err.h>
- #include "ec_local.h"
- const EC_METHOD *EC_GFp_mont_method(void)
- {
- static const EC_METHOD ret = {
- EC_FLAGS_DEFAULT_OCT,
- NID_X9_62_prime_field,
- ec_GFp_mont_group_init,
- ec_GFp_mont_group_finish,
- ec_GFp_mont_group_clear_finish,
- ec_GFp_mont_group_copy,
- ec_GFp_mont_group_set_curve,
- ec_GFp_simple_group_get_curve,
- ec_GFp_simple_group_get_degree,
- ec_group_simple_order_bits,
- ec_GFp_simple_group_check_discriminant,
- ec_GFp_simple_point_init,
- ec_GFp_simple_point_finish,
- ec_GFp_simple_point_clear_finish,
- ec_GFp_simple_point_copy,
- ec_GFp_simple_point_set_to_infinity,
- ec_GFp_simple_set_Jprojective_coordinates_GFp,
- ec_GFp_simple_get_Jprojective_coordinates_GFp,
- ec_GFp_simple_point_set_affine_coordinates,
- ec_GFp_simple_point_get_affine_coordinates,
- 0, 0, 0,
- ec_GFp_simple_add,
- ec_GFp_simple_dbl,
- ec_GFp_simple_invert,
- ec_GFp_simple_is_at_infinity,
- ec_GFp_simple_is_on_curve,
- ec_GFp_simple_cmp,
- ec_GFp_simple_make_affine,
- ec_GFp_simple_points_make_affine,
- 0 /* mul */ ,
- 0 /* precompute_mult */ ,
- 0 /* have_precompute_mult */ ,
- ec_GFp_mont_field_mul,
- ec_GFp_mont_field_sqr,
- 0 /* field_div */ ,
- ec_GFp_mont_field_inv,
- ec_GFp_mont_field_encode,
- ec_GFp_mont_field_decode,
- ec_GFp_mont_field_set_to_one,
- ec_key_simple_priv2oct,
- ec_key_simple_oct2priv,
- 0, /* set private */
- ec_key_simple_generate_key,
- ec_key_simple_check_key,
- ec_key_simple_generate_public_key,
- 0, /* keycopy */
- 0, /* keyfinish */
- ecdh_simple_compute_key,
- 0, /* field_inverse_mod_ord */
- ec_GFp_simple_blind_coordinates,
- ec_GFp_simple_ladder_pre,
- ec_GFp_simple_ladder_step,
- ec_GFp_simple_ladder_post
- };
- return &ret;
- }
- int ec_GFp_mont_group_init(EC_GROUP *group)
- {
- int ok;
- ok = ec_GFp_simple_group_init(group);
- group->field_data1 = NULL;
- group->field_data2 = NULL;
- return ok;
- }
- void ec_GFp_mont_group_finish(EC_GROUP *group)
- {
- BN_MONT_CTX_free(group->field_data1);
- group->field_data1 = NULL;
- BN_free(group->field_data2);
- group->field_data2 = NULL;
- ec_GFp_simple_group_finish(group);
- }
- void ec_GFp_mont_group_clear_finish(EC_GROUP *group)
- {
- BN_MONT_CTX_free(group->field_data1);
- group->field_data1 = NULL;
- BN_clear_free(group->field_data2);
- group->field_data2 = NULL;
- ec_GFp_simple_group_clear_finish(group);
- }
- int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src)
- {
- BN_MONT_CTX_free(dest->field_data1);
- dest->field_data1 = NULL;
- BN_clear_free(dest->field_data2);
- dest->field_data2 = NULL;
- if (!ec_GFp_simple_group_copy(dest, src))
- return 0;
- if (src->field_data1 != NULL) {
- dest->field_data1 = BN_MONT_CTX_new();
- if (dest->field_data1 == NULL)
- return 0;
- if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1))
- goto err;
- }
- if (src->field_data2 != NULL) {
- dest->field_data2 = BN_dup(src->field_data2);
- if (dest->field_data2 == NULL)
- goto err;
- }
- return 1;
- err:
- BN_MONT_CTX_free(dest->field_data1);
- dest->field_data1 = NULL;
- return 0;
- }
- int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p,
- const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
- {
- BN_CTX *new_ctx = NULL;
- BN_MONT_CTX *mont = NULL;
- BIGNUM *one = NULL;
- int ret = 0;
- BN_MONT_CTX_free(group->field_data1);
- group->field_data1 = NULL;
- BN_free(group->field_data2);
- group->field_data2 = NULL;
- if (ctx == NULL) {
- ctx = new_ctx = BN_CTX_new();
- if (ctx == NULL)
- return 0;
- }
- mont = BN_MONT_CTX_new();
- if (mont == NULL)
- goto err;
- if (!BN_MONT_CTX_set(mont, p, ctx)) {
- ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB);
- goto err;
- }
- one = BN_new();
- if (one == NULL)
- goto err;
- if (!BN_to_montgomery(one, BN_value_one(), mont, ctx))
- goto err;
- group->field_data1 = mont;
- mont = NULL;
- group->field_data2 = one;
- one = NULL;
- ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
- if (!ret) {
- BN_MONT_CTX_free(group->field_data1);
- group->field_data1 = NULL;
- BN_free(group->field_data2);
- group->field_data2 = NULL;
- }
- err:
- BN_free(one);
- BN_CTX_free(new_ctx);
- BN_MONT_CTX_free(mont);
- return ret;
- }
- int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
- const BIGNUM *b, BN_CTX *ctx)
- {
- if (group->field_data1 == NULL) {
- ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED);
- return 0;
- }
- return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
- }
- int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
- BN_CTX *ctx)
- {
- if (group->field_data1 == NULL) {
- ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED);
- return 0;
- }
- return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
- }
- /*-
- * Computes the multiplicative inverse of a in GF(p), storing the result in r.
- * If a is zero (or equivalent), you'll get a EC_R_CANNOT_INVERT error.
- * We have a Mont structure, so SCA hardening is FLT inversion.
- */
- int ec_GFp_mont_field_inv(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
- BN_CTX *ctx)
- {
- BIGNUM *e = NULL;
- BN_CTX *new_ctx = NULL;
- int ret = 0;
- if (group->field_data1 == NULL)
- return 0;
- if (ctx == NULL && (ctx = new_ctx = BN_CTX_secure_new()) == NULL)
- return 0;
- BN_CTX_start(ctx);
- if ((e = BN_CTX_get(ctx)) == NULL)
- goto err;
- /* Inverse in constant time with Fermats Little Theorem */
- if (!BN_set_word(e, 2))
- goto err;
- if (!BN_sub(e, group->field, e))
- goto err;
- /*-
- * Exponent e is public.
- * No need for scatter-gather or BN_FLG_CONSTTIME.
- */
- if (!BN_mod_exp_mont(r, a, e, group->field, ctx, group->field_data1))
- goto err;
- /* throw an error on zero */
- if (BN_is_zero(r)) {
- ECerr(EC_F_EC_GFP_MONT_FIELD_INV, EC_R_CANNOT_INVERT);
- goto err;
- }
- ret = 1;
- err:
- BN_CTX_end(ctx);
- BN_CTX_free(new_ctx);
- return ret;
- }
- int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r,
- const BIGNUM *a, BN_CTX *ctx)
- {
- if (group->field_data1 == NULL) {
- ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED);
- return 0;
- }
- return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
- }
- int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r,
- const BIGNUM *a, BN_CTX *ctx)
- {
- if (group->field_data1 == NULL) {
- ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED);
- return 0;
- }
- return BN_from_montgomery(r, a, group->field_data1, ctx);
- }
- int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r,
- BN_CTX *ctx)
- {
- if (group->field_data2 == NULL) {
- ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED);
- return 0;
- }
- if (!BN_copy(r, group->field_data2))
- return 0;
- return 1;
- }
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