|  | /* | 
|  | * Copyright 2002-2016 The OpenSSL Project Authors. 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 <string.h> | 
|  | #include <openssl/err.h> | 
|  | #include <openssl/obj_mac.h> | 
|  | #include <openssl/bn.h> | 
|  | #include <openssl/rand.h> | 
|  | #include <openssl/ec.h> | 
|  | #include "ec_lcl.h" | 
|  |  | 
|  | 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 *s; | 
|  | RAND_seed(dgst, dlen); | 
|  | s = ECDSA_do_sign_ex(dgst, dlen, kinv, r, eckey); | 
|  | if (s == NULL) { | 
|  | *siglen = 0; | 
|  | return 0; | 
|  | } | 
|  | *siglen = i2d_ECDSA_SIG(s, &sig); | 
|  | ECDSA_SIG_free(s); | 
|  | return 1; | 
|  | } | 
|  |  | 
|  | static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, | 
|  | BIGNUM **kinvp, BIGNUM **rp, | 
|  | const unsigned char *dgst, int dlen) | 
|  | { | 
|  | BN_CTX *ctx = NULL; | 
|  | BIGNUM *k = NULL, *r = NULL, *X = NULL; | 
|  | const BIGNUM *order; | 
|  | EC_POINT *tmp_point = NULL; | 
|  | const EC_GROUP *group; | 
|  | int ret = 0; | 
|  |  | 
|  | if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER); | 
|  | return 0; | 
|  | } | 
|  |  | 
|  | if (!EC_KEY_can_sign(eckey)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); | 
|  | return 0; | 
|  | } | 
|  |  | 
|  | if (ctx_in == NULL) { | 
|  | if ((ctx = BN_CTX_new()) == NULL) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); | 
|  | return 0; | 
|  | } | 
|  | } else | 
|  | ctx = ctx_in; | 
|  |  | 
|  | k = BN_new();               /* this value is later returned in *kinvp */ | 
|  | r = BN_new();               /* this value is later returned in *rp */ | 
|  | X = BN_new(); | 
|  | if (k == NULL || r == NULL || X == NULL) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE); | 
|  | goto err; | 
|  | } | 
|  | if ((tmp_point = EC_POINT_new(group)) == NULL) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | order = EC_GROUP_get0_order(group); | 
|  | if (order == NULL) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  |  | 
|  | do { | 
|  | /* get random k */ | 
|  | do | 
|  | if (dgst != NULL) { | 
|  | if (!BN_generate_dsa_nonce | 
|  | (k, order, EC_KEY_get0_private_key(eckey), dgst, dlen, | 
|  | ctx)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, | 
|  | EC_R_RANDOM_NUMBER_GENERATION_FAILED); | 
|  | goto err; | 
|  | } | 
|  | } else { | 
|  | if (!BN_rand_range(k, order)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, | 
|  | EC_R_RANDOM_NUMBER_GENERATION_FAILED); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  | while (BN_is_zero(k)); | 
|  |  | 
|  | /* | 
|  | * We do not want timing information to leak the length of k, so we | 
|  | * compute G*k using an equivalent scalar of fixed bit-length. | 
|  | */ | 
|  |  | 
|  | if (!BN_add(k, k, order)) | 
|  | goto err; | 
|  | if (BN_num_bits(k) <= BN_num_bits(order)) | 
|  | if (!BN_add(k, k, order)) | 
|  | goto err; | 
|  |  | 
|  | /* compute r the x-coordinate of generator * k */ | 
|  | if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == | 
|  | NID_X9_62_prime_field) { | 
|  | if (!EC_POINT_get_affine_coordinates_GFp | 
|  | (group, tmp_point, X, NULL, ctx)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  | #ifndef OPENSSL_NO_EC2M | 
|  | else {                  /* NID_X9_62_characteristic_two_field */ | 
|  |  | 
|  | if (!EC_POINT_get_affine_coordinates_GF2m(group, | 
|  | tmp_point, X, NULL, | 
|  | ctx)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  | #endif | 
|  | if (!BN_nnmod(r, X, order, ctx)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  | while (BN_is_zero(r)); | 
|  |  | 
|  | /* compute the inverse of k */ | 
|  | if (EC_GROUP_get_mont_data(group) != NULL) { | 
|  | /* | 
|  | * We want inverse in constant time, therefore we utilize the fact | 
|  | * order must be prime and use Fermats Little Theorem instead. | 
|  | */ | 
|  | if (!BN_set_word(X, 2)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | if (!BN_mod_sub(X, order, X, order, ctx)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | BN_set_flags(X, BN_FLG_CONSTTIME); | 
|  | if (!BN_mod_exp_mont_consttime | 
|  | (k, k, X, order, ctx, EC_GROUP_get_mont_data(group))) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | } else { | 
|  | if (!BN_mod_inverse(k, k, order, ctx)) { | 
|  | ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  |  | 
|  | /* clear old values if necessary */ | 
|  | BN_clear_free(*rp); | 
|  | BN_clear_free(*kinvp); | 
|  | /* save the pre-computed values  */ | 
|  | *rp = r; | 
|  | *kinvp = k; | 
|  | ret = 1; | 
|  | err: | 
|  | if (!ret) { | 
|  | BN_clear_free(k); | 
|  | BN_clear_free(r); | 
|  | } | 
|  | if (ctx != ctx_in) | 
|  | BN_CTX_free(ctx); | 
|  | EC_POINT_free(tmp_point); | 
|  | BN_clear_free(X); | 
|  | return (ret); | 
|  | } | 
|  |  | 
|  | int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, | 
|  | BIGNUM **rp) | 
|  | { | 
|  | return ecdsa_sign_setup(eckey, ctx_in, kinvp, rp, NULL, 0); | 
|  | } | 
|  |  | 
|  | 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 ok = 0, i; | 
|  | BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL; | 
|  | const BIGNUM *order, *ckinv; | 
|  | BN_CTX *ctx = NULL; | 
|  | const EC_GROUP *group; | 
|  | ECDSA_SIG *ret; | 
|  | const BIGNUM *priv_key; | 
|  |  | 
|  | group = EC_KEY_get0_group(eckey); | 
|  | priv_key = EC_KEY_get0_private_key(eckey); | 
|  |  | 
|  | if (group == NULL || priv_key == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_PASSED_NULL_PARAMETER); | 
|  | return NULL; | 
|  | } | 
|  |  | 
|  | if (!EC_KEY_can_sign(eckey)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); | 
|  | return NULL; | 
|  | } | 
|  |  | 
|  | ret = ECDSA_SIG_new(); | 
|  | if (ret == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); | 
|  | return NULL; | 
|  | } | 
|  | ret->r = BN_new(); | 
|  | ret->s = BN_new(); | 
|  | if (ret->r == NULL || ret->s == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); | 
|  | goto err; | 
|  | } | 
|  | s = ret->s; | 
|  |  | 
|  | if ((ctx = BN_CTX_new()) == NULL || | 
|  | (tmp = BN_new()) == NULL || (m = BN_new()) == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); | 
|  | goto err; | 
|  | } | 
|  |  | 
|  | order = EC_GROUP_get0_order(group); | 
|  | if (order == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | i = BN_num_bits(order); | 
|  | /* | 
|  | * Need to truncate digest if it is too long: first truncate whole bytes. | 
|  | */ | 
|  | if (8 * dgst_len > i) | 
|  | dgst_len = (i + 7) / 8; | 
|  | if (!BN_bin2bn(dgst, dgst_len, m)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | /* If still too long truncate remaining bits with a shift */ | 
|  | if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | do { | 
|  | if (in_kinv == NULL || in_r == NULL) { | 
|  | if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, dgst, dgst_len)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_ECDSA_LIB); | 
|  | goto err; | 
|  | } | 
|  | ckinv = kinv; | 
|  | } else { | 
|  | ckinv = in_kinv; | 
|  | if (BN_copy(ret->r, in_r) == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_MALLOC_FAILURE); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  |  | 
|  | if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | if (!BN_mod_add_quick(s, tmp, m, order)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | if (!BN_mod_mul(s, s, ckinv, order, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | if (BN_is_zero(s)) { | 
|  | /* | 
|  | * if kinv and r have been supplied by the caller don't to | 
|  | * generate new kinv and r values | 
|  | */ | 
|  | if (in_kinv != NULL && in_r != NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_NEED_NEW_SETUP_VALUES); | 
|  | goto err; | 
|  | } | 
|  | } else | 
|  | /* s != 0 => we have a valid signature */ | 
|  | break; | 
|  | } | 
|  | while (1); | 
|  |  | 
|  | ok = 1; | 
|  | err: | 
|  | if (!ok) { | 
|  | ECDSA_SIG_free(ret); | 
|  | ret = NULL; | 
|  | } | 
|  | BN_CTX_free(ctx); | 
|  | BN_clear_free(m); | 
|  | BN_clear_free(tmp); | 
|  | BN_clear_free(kinv); | 
|  | return ret; | 
|  | } | 
|  |  | 
|  | /*- | 
|  | * returns | 
|  | *      1: correct signature | 
|  | *      0: incorrect signature | 
|  | *     -1: error | 
|  | */ | 
|  | int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len, | 
|  | const unsigned char *sigbuf, int sig_len, EC_KEY *eckey) | 
|  | { | 
|  | ECDSA_SIG *s; | 
|  | const unsigned char *p = sigbuf; | 
|  | unsigned char *der = NULL; | 
|  | int derlen = -1; | 
|  | int ret = -1; | 
|  |  | 
|  | s = ECDSA_SIG_new(); | 
|  | if (s == NULL) | 
|  | return (ret); | 
|  | if (d2i_ECDSA_SIG(&s, &p, sig_len) == NULL) | 
|  | goto err; | 
|  | /* Ensure signature uses DER and doesn't have trailing garbage */ | 
|  | derlen = i2d_ECDSA_SIG(s, &der); | 
|  | if (derlen != sig_len || memcmp(sigbuf, der, derlen) != 0) | 
|  | goto err; | 
|  | ret = ECDSA_do_verify(dgst, dgst_len, s, eckey); | 
|  | err: | 
|  | OPENSSL_clear_free(der, derlen); | 
|  | ECDSA_SIG_free(s); | 
|  | return (ret); | 
|  | } | 
|  |  | 
|  | int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len, | 
|  | const ECDSA_SIG *sig, EC_KEY *eckey) | 
|  | { | 
|  | int ret = -1, i; | 
|  | BN_CTX *ctx; | 
|  | const BIGNUM *order; | 
|  | BIGNUM *u1, *u2, *m, *X; | 
|  | EC_POINT *point = NULL; | 
|  | const EC_GROUP *group; | 
|  | const EC_POINT *pub_key; | 
|  |  | 
|  | /* check input values */ | 
|  | if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL || | 
|  | (pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_MISSING_PARAMETERS); | 
|  | return -1; | 
|  | } | 
|  |  | 
|  | if (!EC_KEY_can_sign(eckey)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING); | 
|  | return -1; | 
|  | } | 
|  |  | 
|  | ctx = BN_CTX_new(); | 
|  | if (ctx == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE); | 
|  | return -1; | 
|  | } | 
|  | BN_CTX_start(ctx); | 
|  | u1 = BN_CTX_get(ctx); | 
|  | u2 = BN_CTX_get(ctx); | 
|  | m = BN_CTX_get(ctx); | 
|  | X = BN_CTX_get(ctx); | 
|  | if (X == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  |  | 
|  | order = EC_GROUP_get0_order(group); | 
|  | if (order == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  |  | 
|  | if (BN_is_zero(sig->r) || BN_is_negative(sig->r) || | 
|  | BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) || | 
|  | BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_BAD_SIGNATURE); | 
|  | ret = 0;                /* signature is invalid */ | 
|  | goto err; | 
|  | } | 
|  | /* calculate tmp1 = inv(S) mod order */ | 
|  | if (!BN_mod_inverse(u2, sig->s, order, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | /* digest -> m */ | 
|  | i = BN_num_bits(order); | 
|  | /* | 
|  | * Need to truncate digest if it is too long: first truncate whole bytes. | 
|  | */ | 
|  | if (8 * dgst_len > i) | 
|  | dgst_len = (i + 7) / 8; | 
|  | if (!BN_bin2bn(dgst, dgst_len, m)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | /* If still too long truncate remaining bits with a shift */ | 
|  | if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | /* u1 = m * tmp mod order */ | 
|  | if (!BN_mod_mul(u1, m, u2, order, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | /* u2 = r * w mod q */ | 
|  | if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  |  | 
|  | if ((point = EC_POINT_new(group)) == NULL) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_MALLOC_FAILURE); | 
|  | goto err; | 
|  | } | 
|  | if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == | 
|  | NID_X9_62_prime_field) { | 
|  | if (!EC_POINT_get_affine_coordinates_GFp(group, point, X, NULL, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  | #ifndef OPENSSL_NO_EC2M | 
|  | else {                      /* NID_X9_62_characteristic_two_field */ | 
|  |  | 
|  | if (!EC_POINT_get_affine_coordinates_GF2m(group, point, X, NULL, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_EC_LIB); | 
|  | goto err; | 
|  | } | 
|  | } | 
|  | #endif | 
|  | if (!BN_nnmod(u1, X, order, ctx)) { | 
|  | ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, ERR_R_BN_LIB); | 
|  | goto err; | 
|  | } | 
|  | /*  if the signature is correct u1 is equal to sig->r */ | 
|  | ret = (BN_ucmp(u1, sig->r) == 0); | 
|  | err: | 
|  | BN_CTX_end(ctx); | 
|  | BN_CTX_free(ctx); | 
|  | EC_POINT_free(point); | 
|  | return ret; | 
|  | } |