| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291 | /* * 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_lcl.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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