| /* |
| * Copyright 2001-2021 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 |
| */ |
| |
| /* |
| * EC_GROUP low level APIs are deprecated for public use, but still ok for |
| * internal use. |
| */ |
| #include "internal/deprecated.h" |
| |
| #include <string.h> |
| #include <openssl/params.h> |
| #include <openssl/core_names.h> |
| #include <openssl/err.h> |
| #include <openssl/opensslv.h> |
| #include "crypto/ec.h" |
| #include "internal/nelem.h" |
| #include "ec_local.h" |
| #include "e_os.h" /* strcasecmp */ |
| |
| /* functions for EC_GROUP objects */ |
| |
| EC_GROUP *ossl_ec_group_new_ex(OSSL_LIB_CTX *libctx, const char *propq, |
| const EC_METHOD *meth) |
| { |
| EC_GROUP *ret; |
| |
| if (meth == NULL) { |
| ERR_raise(ERR_LIB_EC, EC_R_SLOT_FULL); |
| return NULL; |
| } |
| if (meth->group_init == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return NULL; |
| } |
| |
| ret = OPENSSL_zalloc(sizeof(*ret)); |
| if (ret == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE); |
| return NULL; |
| } |
| |
| ret->libctx = libctx; |
| if (propq != NULL) { |
| ret->propq = OPENSSL_strdup(propq); |
| if (ret->propq == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE); |
| goto err; |
| } |
| } |
| ret->meth = meth; |
| if ((ret->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) { |
| ret->order = BN_new(); |
| if (ret->order == NULL) |
| goto err; |
| ret->cofactor = BN_new(); |
| if (ret->cofactor == NULL) |
| goto err; |
| } |
| ret->asn1_flag = OPENSSL_EC_EXPLICIT_CURVE; |
| ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED; |
| if (!meth->group_init(ret)) |
| goto err; |
| return ret; |
| |
| err: |
| BN_free(ret->order); |
| BN_free(ret->cofactor); |
| OPENSSL_free(ret->propq); |
| OPENSSL_free(ret); |
| return NULL; |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| # ifndef FIPS_MODULE |
| EC_GROUP *EC_GROUP_new(const EC_METHOD *meth) |
| { |
| return ossl_ec_group_new_ex(NULL, NULL, meth); |
| } |
| # endif |
| #endif |
| |
| void EC_pre_comp_free(EC_GROUP *group) |
| { |
| switch (group->pre_comp_type) { |
| case PCT_none: |
| break; |
| case PCT_nistz256: |
| #ifdef ECP_NISTZ256_ASM |
| EC_nistz256_pre_comp_free(group->pre_comp.nistz256); |
| #endif |
| break; |
| #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
| case PCT_nistp224: |
| EC_nistp224_pre_comp_free(group->pre_comp.nistp224); |
| break; |
| case PCT_nistp256: |
| EC_nistp256_pre_comp_free(group->pre_comp.nistp256); |
| break; |
| case PCT_nistp521: |
| EC_nistp521_pre_comp_free(group->pre_comp.nistp521); |
| break; |
| #else |
| case PCT_nistp224: |
| case PCT_nistp256: |
| case PCT_nistp521: |
| break; |
| #endif |
| case PCT_ec: |
| EC_ec_pre_comp_free(group->pre_comp.ec); |
| break; |
| } |
| group->pre_comp.ec = NULL; |
| } |
| |
| void EC_GROUP_free(EC_GROUP *group) |
| { |
| if (!group) |
| return; |
| |
| if (group->meth->group_finish != 0) |
| group->meth->group_finish(group); |
| |
| EC_pre_comp_free(group); |
| BN_MONT_CTX_free(group->mont_data); |
| EC_POINT_free(group->generator); |
| BN_free(group->order); |
| BN_free(group->cofactor); |
| OPENSSL_free(group->seed); |
| OPENSSL_free(group->propq); |
| OPENSSL_free(group); |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| void EC_GROUP_clear_free(EC_GROUP *group) |
| { |
| if (!group) |
| return; |
| |
| if (group->meth->group_clear_finish != 0) |
| group->meth->group_clear_finish(group); |
| else if (group->meth->group_finish != 0) |
| group->meth->group_finish(group); |
| |
| EC_pre_comp_free(group); |
| BN_MONT_CTX_free(group->mont_data); |
| EC_POINT_clear_free(group->generator); |
| BN_clear_free(group->order); |
| BN_clear_free(group->cofactor); |
| OPENSSL_clear_free(group->seed, group->seed_len); |
| OPENSSL_clear_free(group, sizeof(*group)); |
| } |
| #endif |
| |
| int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src) |
| { |
| if (dest->meth->group_copy == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (dest->meth != src->meth) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| if (dest == src) |
| return 1; |
| |
| dest->libctx = src->libctx; |
| dest->curve_name = src->curve_name; |
| |
| /* Copy precomputed */ |
| dest->pre_comp_type = src->pre_comp_type; |
| switch (src->pre_comp_type) { |
| case PCT_none: |
| dest->pre_comp.ec = NULL; |
| break; |
| case PCT_nistz256: |
| #ifdef ECP_NISTZ256_ASM |
| dest->pre_comp.nistz256 = EC_nistz256_pre_comp_dup(src->pre_comp.nistz256); |
| #endif |
| break; |
| #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
| case PCT_nistp224: |
| dest->pre_comp.nistp224 = EC_nistp224_pre_comp_dup(src->pre_comp.nistp224); |
| break; |
| case PCT_nistp256: |
| dest->pre_comp.nistp256 = EC_nistp256_pre_comp_dup(src->pre_comp.nistp256); |
| break; |
| case PCT_nistp521: |
| dest->pre_comp.nistp521 = EC_nistp521_pre_comp_dup(src->pre_comp.nistp521); |
| break; |
| #else |
| case PCT_nistp224: |
| case PCT_nistp256: |
| case PCT_nistp521: |
| break; |
| #endif |
| case PCT_ec: |
| dest->pre_comp.ec = EC_ec_pre_comp_dup(src->pre_comp.ec); |
| break; |
| } |
| |
| if (src->mont_data != NULL) { |
| if (dest->mont_data == NULL) { |
| dest->mont_data = BN_MONT_CTX_new(); |
| if (dest->mont_data == NULL) |
| return 0; |
| } |
| if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data)) |
| return 0; |
| } else { |
| /* src->generator == NULL */ |
| BN_MONT_CTX_free(dest->mont_data); |
| dest->mont_data = NULL; |
| } |
| |
| if (src->generator != NULL) { |
| if (dest->generator == NULL) { |
| dest->generator = EC_POINT_new(dest); |
| if (dest->generator == NULL) |
| return 0; |
| } |
| if (!EC_POINT_copy(dest->generator, src->generator)) |
| return 0; |
| } else { |
| /* src->generator == NULL */ |
| EC_POINT_clear_free(dest->generator); |
| dest->generator = NULL; |
| } |
| |
| if ((src->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) { |
| if (!BN_copy(dest->order, src->order)) |
| return 0; |
| if (!BN_copy(dest->cofactor, src->cofactor)) |
| return 0; |
| } |
| |
| dest->asn1_flag = src->asn1_flag; |
| dest->asn1_form = src->asn1_form; |
| dest->decoded_from_explicit_params = src->decoded_from_explicit_params; |
| |
| if (src->seed) { |
| OPENSSL_free(dest->seed); |
| if ((dest->seed = OPENSSL_malloc(src->seed_len)) == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE); |
| return 0; |
| } |
| if (!memcpy(dest->seed, src->seed, src->seed_len)) |
| return 0; |
| dest->seed_len = src->seed_len; |
| } else { |
| OPENSSL_free(dest->seed); |
| dest->seed = NULL; |
| dest->seed_len = 0; |
| } |
| |
| return dest->meth->group_copy(dest, src); |
| } |
| |
| EC_GROUP *EC_GROUP_dup(const EC_GROUP *a) |
| { |
| EC_GROUP *t = NULL; |
| int ok = 0; |
| |
| if (a == NULL) |
| return NULL; |
| |
| if ((t = ossl_ec_group_new_ex(a->libctx, a->propq, a->meth)) == NULL) |
| return NULL; |
| if (!EC_GROUP_copy(t, a)) |
| goto err; |
| |
| ok = 1; |
| |
| err: |
| if (!ok) { |
| EC_GROUP_free(t); |
| return NULL; |
| } |
| return t; |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group) |
| { |
| return group->meth; |
| } |
| |
| int EC_METHOD_get_field_type(const EC_METHOD *meth) |
| { |
| return meth->field_type; |
| } |
| #endif |
| |
| static int ec_precompute_mont_data(EC_GROUP *); |
| |
| /*- |
| * Try computing cofactor from the generator order (n) and field cardinality (q). |
| * This works for all curves of cryptographic interest. |
| * |
| * Hasse thm: q + 1 - 2*sqrt(q) <= n*h <= q + 1 + 2*sqrt(q) |
| * h_min = (q + 1 - 2*sqrt(q))/n |
| * h_max = (q + 1 + 2*sqrt(q))/n |
| * h_max - h_min = 4*sqrt(q)/n |
| * So if n > 4*sqrt(q) holds, there is only one possible value for h: |
| * h = \lfloor (h_min + h_max)/2 \rceil = \lfloor (q + 1)/n \rceil |
| * |
| * Otherwise, zero cofactor and return success. |
| */ |
| static int ec_guess_cofactor(EC_GROUP *group) { |
| int ret = 0; |
| BN_CTX *ctx = NULL; |
| BIGNUM *q = NULL; |
| |
| /*- |
| * If the cofactor is too large, we cannot guess it. |
| * The RHS of below is a strict overestimate of lg(4 * sqrt(q)) |
| */ |
| if (BN_num_bits(group->order) <= (BN_num_bits(group->field) + 1) / 2 + 3) { |
| /* default to 0 */ |
| BN_zero(group->cofactor); |
| /* return success */ |
| return 1; |
| } |
| |
| if ((ctx = BN_CTX_new_ex(group->libctx)) == NULL) |
| return 0; |
| |
| BN_CTX_start(ctx); |
| if ((q = BN_CTX_get(ctx)) == NULL) |
| goto err; |
| |
| /* set q = 2**m for binary fields; q = p otherwise */ |
| if (group->meth->field_type == NID_X9_62_characteristic_two_field) { |
| BN_zero(q); |
| if (!BN_set_bit(q, BN_num_bits(group->field) - 1)) |
| goto err; |
| } else { |
| if (!BN_copy(q, group->field)) |
| goto err; |
| } |
| |
| /* compute h = \lfloor (q + 1)/n \rceil = \lfloor (q + 1 + n/2)/n \rfloor */ |
| if (!BN_rshift1(group->cofactor, group->order) /* n/2 */ |
| || !BN_add(group->cofactor, group->cofactor, q) /* q + n/2 */ |
| /* q + 1 + n/2 */ |
| || !BN_add(group->cofactor, group->cofactor, BN_value_one()) |
| /* (q + 1 + n/2)/n */ |
| || !BN_div(group->cofactor, NULL, group->cofactor, group->order, ctx)) |
| goto err; |
| ret = 1; |
| err: |
| BN_CTX_end(ctx); |
| BN_CTX_free(ctx); |
| return ret; |
| } |
| |
| int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, |
| const BIGNUM *order, const BIGNUM *cofactor) |
| { |
| if (generator == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER); |
| return 0; |
| } |
| |
| /* require group->field >= 1 */ |
| if (group->field == NULL || BN_is_zero(group->field) |
| || BN_is_negative(group->field)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD); |
| return 0; |
| } |
| |
| /*- |
| * - require order >= 1 |
| * - enforce upper bound due to Hasse thm: order can be no more than one bit |
| * longer than field cardinality |
| */ |
| if (order == NULL || BN_is_zero(order) || BN_is_negative(order) |
| || BN_num_bits(order) > BN_num_bits(group->field) + 1) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER); |
| return 0; |
| } |
| |
| /*- |
| * Unfortunately the cofactor is an optional field in many standards. |
| * Internally, the lib uses 0 cofactor as a marker for "unknown cofactor". |
| * So accept cofactor == NULL or cofactor >= 0. |
| */ |
| if (cofactor != NULL && BN_is_negative(cofactor)) { |
| ERR_raise(ERR_LIB_EC, EC_R_UNKNOWN_COFACTOR); |
| return 0; |
| } |
| |
| if (group->generator == NULL) { |
| group->generator = EC_POINT_new(group); |
| if (group->generator == NULL) |
| return 0; |
| } |
| if (!EC_POINT_copy(group->generator, generator)) |
| return 0; |
| |
| if (!BN_copy(group->order, order)) |
| return 0; |
| |
| /* Either take the provided positive cofactor, or try to compute it */ |
| if (cofactor != NULL && !BN_is_zero(cofactor)) { |
| if (!BN_copy(group->cofactor, cofactor)) |
| return 0; |
| } else if (!ec_guess_cofactor(group)) { |
| BN_zero(group->cofactor); |
| return 0; |
| } |
| |
| /* |
| * Some groups have an order with |
| * factors of two, which makes the Montgomery setup fail. |
| * |group->mont_data| will be NULL in this case. |
| */ |
| if (BN_is_odd(group->order)) { |
| return ec_precompute_mont_data(group); |
| } |
| |
| BN_MONT_CTX_free(group->mont_data); |
| group->mont_data = NULL; |
| return 1; |
| } |
| |
| const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group) |
| { |
| return group->generator; |
| } |
| |
| BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group) |
| { |
| return group->mont_data; |
| } |
| |
| int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx) |
| { |
| if (group->order == NULL) |
| return 0; |
| if (!BN_copy(order, group->order)) |
| return 0; |
| |
| return !BN_is_zero(order); |
| } |
| |
| const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group) |
| { |
| return group->order; |
| } |
| |
| int EC_GROUP_order_bits(const EC_GROUP *group) |
| { |
| return group->meth->group_order_bits(group); |
| } |
| |
| int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, |
| BN_CTX *ctx) |
| { |
| |
| if (group->cofactor == NULL) |
| return 0; |
| if (!BN_copy(cofactor, group->cofactor)) |
| return 0; |
| |
| return !BN_is_zero(group->cofactor); |
| } |
| |
| const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group) |
| { |
| return group->cofactor; |
| } |
| |
| void EC_GROUP_set_curve_name(EC_GROUP *group, int nid) |
| { |
| group->curve_name = nid; |
| group->asn1_flag = |
| (nid != NID_undef) |
| ? OPENSSL_EC_NAMED_CURVE |
| : OPENSSL_EC_EXPLICIT_CURVE; |
| } |
| |
| int EC_GROUP_get_curve_name(const EC_GROUP *group) |
| { |
| return group->curve_name; |
| } |
| |
| const BIGNUM *EC_GROUP_get0_field(const EC_GROUP *group) |
| { |
| return group->field; |
| } |
| |
| int EC_GROUP_get_field_type(const EC_GROUP *group) |
| { |
| return group->meth->field_type; |
| } |
| |
| void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag) |
| { |
| group->asn1_flag = flag; |
| } |
| |
| int EC_GROUP_get_asn1_flag(const EC_GROUP *group) |
| { |
| return group->asn1_flag; |
| } |
| |
| void EC_GROUP_set_point_conversion_form(EC_GROUP *group, |
| point_conversion_form_t form) |
| { |
| group->asn1_form = form; |
| } |
| |
| point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP |
| *group) |
| { |
| return group->asn1_form; |
| } |
| |
| size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len) |
| { |
| OPENSSL_free(group->seed); |
| group->seed = NULL; |
| group->seed_len = 0; |
| |
| if (!len || !p) |
| return 1; |
| |
| if ((group->seed = OPENSSL_malloc(len)) == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE); |
| return 0; |
| } |
| memcpy(group->seed, p, len); |
| group->seed_len = len; |
| |
| return len; |
| } |
| |
| unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group) |
| { |
| return group->seed; |
| } |
| |
| size_t EC_GROUP_get_seed_len(const EC_GROUP *group) |
| { |
| return group->seed_len; |
| } |
| |
| int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *ctx) |
| { |
| if (group->meth->group_set_curve == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| return group->meth->group_set_curve(group, p, a, b, ctx); |
| } |
| |
| int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, |
| BN_CTX *ctx) |
| { |
| if (group->meth->group_get_curve == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| return group->meth->group_get_curve(group, p, a, b, ctx); |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *ctx) |
| { |
| return EC_GROUP_set_curve(group, p, a, b, ctx); |
| } |
| |
| int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, |
| BIGNUM *b, BN_CTX *ctx) |
| { |
| return EC_GROUP_get_curve(group, p, a, b, ctx); |
| } |
| |
| # ifndef OPENSSL_NO_EC2M |
| int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, |
| const BIGNUM *b, BN_CTX *ctx) |
| { |
| return EC_GROUP_set_curve(group, p, a, b, ctx); |
| } |
| |
| int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, |
| BIGNUM *b, BN_CTX *ctx) |
| { |
| return EC_GROUP_get_curve(group, p, a, b, ctx); |
| } |
| # endif |
| #endif |
| |
| int EC_GROUP_get_degree(const EC_GROUP *group) |
| { |
| if (group->meth->group_get_degree == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| return group->meth->group_get_degree(group); |
| } |
| |
| int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx) |
| { |
| if (group->meth->group_check_discriminant == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| return group->meth->group_check_discriminant(group, ctx); |
| } |
| |
| int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx) |
| { |
| int r = 0; |
| BIGNUM *a1, *a2, *a3, *b1, *b2, *b3; |
| #ifndef FIPS_MODULE |
| BN_CTX *ctx_new = NULL; |
| #endif |
| |
| /* compare the field types */ |
| if (EC_GROUP_get_field_type(a) != EC_GROUP_get_field_type(b)) |
| return 1; |
| /* compare the curve name (if present in both) */ |
| if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) && |
| EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b)) |
| return 1; |
| if (a->meth->flags & EC_FLAGS_CUSTOM_CURVE) |
| return 0; |
| |
| #ifndef FIPS_MODULE |
| if (ctx == NULL) |
| ctx_new = ctx = BN_CTX_new(); |
| #endif |
| if (ctx == NULL) |
| return -1; |
| |
| BN_CTX_start(ctx); |
| a1 = BN_CTX_get(ctx); |
| a2 = BN_CTX_get(ctx); |
| a3 = BN_CTX_get(ctx); |
| b1 = BN_CTX_get(ctx); |
| b2 = BN_CTX_get(ctx); |
| b3 = BN_CTX_get(ctx); |
| if (b3 == NULL) { |
| BN_CTX_end(ctx); |
| #ifndef FIPS_MODULE |
| BN_CTX_free(ctx_new); |
| #endif |
| return -1; |
| } |
| |
| /* |
| * XXX This approach assumes that the external representation of curves |
| * over the same field type is the same. |
| */ |
| if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) || |
| !b->meth->group_get_curve(b, b1, b2, b3, ctx)) |
| r = 1; |
| |
| /* return 1 if the curve parameters are different */ |
| if (r || BN_cmp(a1, b1) != 0 || BN_cmp(a2, b2) != 0 || BN_cmp(a3, b3) != 0) |
| r = 1; |
| |
| /* XXX EC_POINT_cmp() assumes that the methods are equal */ |
| /* return 1 if the generators are different */ |
| if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a), |
| EC_GROUP_get0_generator(b), ctx) != 0) |
| r = 1; |
| |
| if (!r) { |
| const BIGNUM *ao, *bo, *ac, *bc; |
| /* compare the orders */ |
| ao = EC_GROUP_get0_order(a); |
| bo = EC_GROUP_get0_order(b); |
| if (ao == NULL || bo == NULL) { |
| /* return an error if either order is NULL */ |
| r = -1; |
| goto end; |
| } |
| if (BN_cmp(ao, bo) != 0) { |
| /* return 1 if orders are different */ |
| r = 1; |
| goto end; |
| } |
| /* |
| * It gets here if the curve parameters and generator matched. |
| * Now check the optional cofactors (if both are present). |
| */ |
| ac = EC_GROUP_get0_cofactor(a); |
| bc = EC_GROUP_get0_cofactor(b); |
| /* Returns 1 (mismatch) if both cofactors are specified and different */ |
| if (!BN_is_zero(ac) && !BN_is_zero(bc) && BN_cmp(ac, bc) != 0) |
| r = 1; |
| /* Returns 0 if the parameters matched */ |
| } |
| end: |
| BN_CTX_end(ctx); |
| #ifndef FIPS_MODULE |
| BN_CTX_free(ctx_new); |
| #endif |
| return r; |
| } |
| |
| /* functions for EC_POINT objects */ |
| |
| EC_POINT *EC_POINT_new(const EC_GROUP *group) |
| { |
| EC_POINT *ret; |
| |
| if (group == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_PASSED_NULL_PARAMETER); |
| return NULL; |
| } |
| if (group->meth->point_init == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return NULL; |
| } |
| |
| ret = OPENSSL_zalloc(sizeof(*ret)); |
| if (ret == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE); |
| return NULL; |
| } |
| |
| ret->meth = group->meth; |
| ret->curve_name = group->curve_name; |
| |
| if (!ret->meth->point_init(ret)) { |
| OPENSSL_free(ret); |
| return NULL; |
| } |
| |
| return ret; |
| } |
| |
| void EC_POINT_free(EC_POINT *point) |
| { |
| if (point == NULL) |
| return; |
| |
| if (point->meth->point_finish != 0) |
| point->meth->point_finish(point); |
| OPENSSL_free(point); |
| } |
| |
| void EC_POINT_clear_free(EC_POINT *point) |
| { |
| if (point == NULL) |
| return; |
| |
| if (point->meth->point_clear_finish != 0) |
| point->meth->point_clear_finish(point); |
| else if (point->meth->point_finish != 0) |
| point->meth->point_finish(point); |
| OPENSSL_clear_free(point, sizeof(*point)); |
| } |
| |
| int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) |
| { |
| if (dest->meth->point_copy == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (dest->meth != src->meth |
| || (dest->curve_name != src->curve_name |
| && dest->curve_name != 0 |
| && src->curve_name != 0)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| if (dest == src) |
| return 1; |
| return dest->meth->point_copy(dest, src); |
| } |
| |
| EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group) |
| { |
| EC_POINT *t; |
| int r; |
| |
| if (a == NULL) |
| return NULL; |
| |
| t = EC_POINT_new(group); |
| if (t == NULL) |
| return NULL; |
| r = EC_POINT_copy(t, a); |
| if (!r) { |
| EC_POINT_free(t); |
| return NULL; |
| } |
| return t; |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| const EC_METHOD *EC_POINT_method_of(const EC_POINT *point) |
| { |
| return point->meth; |
| } |
| #endif |
| |
| int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) |
| { |
| if (group->meth->point_set_to_infinity == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (group->meth != point->meth) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return group->meth->point_set_to_infinity(group, point); |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, |
| EC_POINT *point, const BIGNUM *x, |
| const BIGNUM *y, const BIGNUM *z, |
| BN_CTX *ctx) |
| { |
| if (group->meth->field_type != NID_X9_62_prime_field) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(point, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return ossl_ec_GFp_simple_set_Jprojective_coordinates_GFp(group, point, |
| x, y, z, ctx); |
| } |
| |
| int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, |
| const EC_POINT *point, BIGNUM *x, |
| BIGNUM *y, BIGNUM *z, |
| BN_CTX *ctx) |
| { |
| if (group->meth->field_type != NID_X9_62_prime_field) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(point, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return ossl_ec_GFp_simple_get_Jprojective_coordinates_GFp(group, point, |
| x, y, z, ctx); |
| } |
| #endif |
| |
| int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point, |
| const BIGNUM *x, const BIGNUM *y, |
| BN_CTX *ctx) |
| { |
| if (group->meth->point_set_affine_coordinates == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(point, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx)) |
| return 0; |
| |
| if (EC_POINT_is_on_curve(group, point, ctx) <= 0) { |
| ERR_raise(ERR_LIB_EC, EC_R_POINT_IS_NOT_ON_CURVE); |
| return 0; |
| } |
| return 1; |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, |
| EC_POINT *point, const BIGNUM *x, |
| const BIGNUM *y, BN_CTX *ctx) |
| { |
| return EC_POINT_set_affine_coordinates(group, point, x, y, ctx); |
| } |
| |
| # ifndef OPENSSL_NO_EC2M |
| int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, |
| EC_POINT *point, const BIGNUM *x, |
| const BIGNUM *y, BN_CTX *ctx) |
| { |
| return EC_POINT_set_affine_coordinates(group, point, x, y, ctx); |
| } |
| # endif |
| #endif |
| |
| int EC_POINT_get_affine_coordinates(const EC_GROUP *group, |
| const EC_POINT *point, BIGNUM *x, BIGNUM *y, |
| BN_CTX *ctx) |
| { |
| if (group->meth->point_get_affine_coordinates == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(point, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| if (EC_POINT_is_at_infinity(group, point)) { |
| ERR_raise(ERR_LIB_EC, EC_R_POINT_AT_INFINITY); |
| return 0; |
| } |
| return group->meth->point_get_affine_coordinates(group, point, x, y, ctx); |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, |
| const EC_POINT *point, BIGNUM *x, |
| BIGNUM *y, BN_CTX *ctx) |
| { |
| return EC_POINT_get_affine_coordinates(group, point, x, y, ctx); |
| } |
| |
| # ifndef OPENSSL_NO_EC2M |
| int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, |
| const EC_POINT *point, BIGNUM *x, |
| BIGNUM *y, BN_CTX *ctx) |
| { |
| return EC_POINT_get_affine_coordinates(group, point, x, y, ctx); |
| } |
| # endif |
| #endif |
| |
| int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, |
| const EC_POINT *b, BN_CTX *ctx) |
| { |
| if (group->meth->add == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group) |
| || !ec_point_is_compat(b, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return group->meth->add(group, r, a, b, ctx); |
| } |
| |
| int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, |
| BN_CTX *ctx) |
| { |
| if (group->meth->dbl == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return group->meth->dbl(group, r, a, ctx); |
| } |
| |
| int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx) |
| { |
| if (group->meth->invert == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(a, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return group->meth->invert(group, a, ctx); |
| } |
| |
| int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) |
| { |
| if (group->meth->is_at_infinity == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(point, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return group->meth->is_at_infinity(group, point); |
| } |
| |
| /* |
| * Check whether an EC_POINT is on the curve or not. Note that the return |
| * value for this function should NOT be treated as a boolean. Return values: |
| * 1: The point is on the curve |
| * 0: The point is not on the curve |
| * -1: An error occurred |
| */ |
| int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, |
| BN_CTX *ctx) |
| { |
| if (group->meth->is_on_curve == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(point, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return group->meth->is_on_curve(group, point, ctx); |
| } |
| |
| int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, |
| BN_CTX *ctx) |
| { |
| if (group->meth->point_cmp == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return -1; |
| } |
| if (!ec_point_is_compat(a, group) || !ec_point_is_compat(b, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return -1; |
| } |
| return group->meth->point_cmp(group, a, b, ctx); |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) |
| { |
| if (group->meth->make_affine == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| if (!ec_point_is_compat(point, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| return group->meth->make_affine(group, point, ctx); |
| } |
| |
| int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, |
| EC_POINT *points[], BN_CTX *ctx) |
| { |
| size_t i; |
| |
| if (group->meth->points_make_affine == 0) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| for (i = 0; i < num; i++) { |
| if (!ec_point_is_compat(points[i], group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| } |
| return group->meth->points_make_affine(group, num, points, ctx); |
| } |
| #endif |
| |
| /* |
| * Functions for point multiplication. If group->meth->mul is 0, we use the |
| * wNAF-based implementations in ec_mult.c; otherwise we dispatch through |
| * methods. |
| */ |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| int EC_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 ret = 0; |
| size_t i = 0; |
| #ifndef FIPS_MODULE |
| BN_CTX *new_ctx = NULL; |
| #endif |
| |
| if (!ec_point_is_compat(r, group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| |
| if (scalar == NULL && num == 0) |
| return EC_POINT_set_to_infinity(group, r); |
| |
| for (i = 0; i < num; i++) { |
| if (!ec_point_is_compat(points[i], group)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| } |
| |
| #ifndef FIPS_MODULE |
| if (ctx == NULL) |
| ctx = new_ctx = BN_CTX_secure_new(); |
| #endif |
| if (ctx == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR); |
| return 0; |
| } |
| |
| if (group->meth->mul != NULL) |
| ret = group->meth->mul(group, r, scalar, num, points, scalars, ctx); |
| else |
| /* use default */ |
| ret = ossl_ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx); |
| |
| #ifndef FIPS_MODULE |
| BN_CTX_free(new_ctx); |
| #endif |
| return ret; |
| } |
| #endif |
| |
| int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, |
| const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx) |
| { |
| int ret = 0; |
| size_t num; |
| #ifndef FIPS_MODULE |
| BN_CTX *new_ctx = NULL; |
| #endif |
| |
| if (!ec_point_is_compat(r, group) |
| || (point != NULL && !ec_point_is_compat(point, group))) { |
| ERR_raise(ERR_LIB_EC, EC_R_INCOMPATIBLE_OBJECTS); |
| return 0; |
| } |
| |
| if (g_scalar == NULL && p_scalar == NULL) |
| return EC_POINT_set_to_infinity(group, r); |
| |
| #ifndef FIPS_MODULE |
| if (ctx == NULL) |
| ctx = new_ctx = BN_CTX_secure_new(); |
| #endif |
| if (ctx == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_INTERNAL_ERROR); |
| return 0; |
| } |
| |
| num = (point != NULL && p_scalar != NULL) ? 1 : 0; |
| if (group->meth->mul != NULL) |
| ret = group->meth->mul(group, r, g_scalar, num, &point, &p_scalar, ctx); |
| else |
| /* use default */ |
| ret = ossl_ec_wNAF_mul(group, r, g_scalar, num, &point, &p_scalar, ctx); |
| |
| #ifndef FIPS_MODULE |
| BN_CTX_free(new_ctx); |
| #endif |
| return ret; |
| } |
| |
| #ifndef OPENSSL_NO_DEPRECATED_3_0 |
| int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) |
| { |
| if (group->meth->mul == 0) |
| /* use default */ |
| return ossl_ec_wNAF_precompute_mult(group, ctx); |
| |
| if (group->meth->precompute_mult != 0) |
| return group->meth->precompute_mult(group, ctx); |
| else |
| return 1; /* nothing to do, so report success */ |
| } |
| |
| int EC_GROUP_have_precompute_mult(const EC_GROUP *group) |
| { |
| if (group->meth->mul == 0) |
| /* use default */ |
| return ossl_ec_wNAF_have_precompute_mult(group); |
| |
| if (group->meth->have_precompute_mult != 0) |
| return group->meth->have_precompute_mult(group); |
| else |
| return 0; /* cannot tell whether precomputation has |
| * been performed */ |
| } |
| #endif |
| |
| /* |
| * ec_precompute_mont_data sets |group->mont_data| from |group->order| and |
| * returns one on success. On error it returns zero. |
| */ |
| static int ec_precompute_mont_data(EC_GROUP *group) |
| { |
| BN_CTX *ctx = BN_CTX_new_ex(group->libctx); |
| int ret = 0; |
| |
| BN_MONT_CTX_free(group->mont_data); |
| group->mont_data = NULL; |
| |
| if (ctx == NULL) |
| goto err; |
| |
| group->mont_data = BN_MONT_CTX_new(); |
| if (group->mont_data == NULL) |
| goto err; |
| |
| if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) { |
| BN_MONT_CTX_free(group->mont_data); |
| group->mont_data = NULL; |
| goto err; |
| } |
| |
| ret = 1; |
| |
| err: |
| |
| BN_CTX_free(ctx); |
| return ret; |
| } |
| |
| #ifndef FIPS_MODULE |
| int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg) |
| { |
| return CRYPTO_set_ex_data(&key->ex_data, idx, arg); |
| } |
| |
| void *EC_KEY_get_ex_data(const EC_KEY *key, int idx) |
| { |
| return CRYPTO_get_ex_data(&key->ex_data, idx); |
| } |
| #endif |
| |
| int ossl_ec_group_simple_order_bits(const EC_GROUP *group) |
| { |
| if (group->order == NULL) |
| return 0; |
| return BN_num_bits(group->order); |
| } |
| |
| static int ec_field_inverse_mod_ord(const EC_GROUP *group, BIGNUM *r, |
| const BIGNUM *x, BN_CTX *ctx) |
| { |
| BIGNUM *e = NULL; |
| int ret = 0; |
| #ifndef FIPS_MODULE |
| BN_CTX *new_ctx = NULL; |
| #endif |
| |
| if (group->mont_data == NULL) |
| return 0; |
| |
| #ifndef FIPS_MODULE |
| if (ctx == NULL) |
| ctx = new_ctx = BN_CTX_secure_new(); |
| #endif |
| if (ctx == NULL) |
| return 0; |
| |
| BN_CTX_start(ctx); |
| if ((e = BN_CTX_get(ctx)) == NULL) |
| goto err; |
| |
| /*- |
| * 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(e, 2)) |
| goto err; |
| if (!BN_sub(e, group->order, e)) |
| goto err; |
| /*- |
| * Exponent e is public. |
| * No need for scatter-gather or BN_FLG_CONSTTIME. |
| */ |
| if (!BN_mod_exp_mont(r, x, e, group->order, ctx, group->mont_data)) |
| goto err; |
| |
| ret = 1; |
| |
| err: |
| BN_CTX_end(ctx); |
| #ifndef FIPS_MODULE |
| BN_CTX_free(new_ctx); |
| #endif |
| return ret; |
| } |
| |
| /*- |
| * Default behavior, if group->meth->field_inverse_mod_ord is NULL: |
| * - When group->order is even, this function returns an error. |
| * - When group->order is otherwise composite, the correctness |
| * of the output is not guaranteed. |
| * - When x is outside the range [1, group->order), the correctness |
| * of the output is not guaranteed. |
| * - Otherwise, this function returns the multiplicative inverse in the |
| * range [1, group->order). |
| * |
| * EC_METHODs must implement their own field_inverse_mod_ord for |
| * other functionality. |
| */ |
| int ossl_ec_group_do_inverse_ord(const EC_GROUP *group, BIGNUM *res, |
| const BIGNUM *x, BN_CTX *ctx) |
| { |
| if (group->meth->field_inverse_mod_ord != NULL) |
| return group->meth->field_inverse_mod_ord(group, res, x, ctx); |
| else |
| return ec_field_inverse_mod_ord(group, res, x, ctx); |
| } |
| |
| /*- |
| * Coordinate blinding for EC_POINT. |
| * |
| * The underlying EC_METHOD can optionally implement this function: |
| * underlying implementations should return 0 on errors, or 1 on |
| * success. |
| * |
| * This wrapper returns 1 in case the underlying EC_METHOD does not |
| * support coordinate blinding. |
| */ |
| int ossl_ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, |
| BN_CTX *ctx) |
| { |
| if (group->meth->blind_coordinates == NULL) |
| return 1; /* ignore if not implemented */ |
| |
| return group->meth->blind_coordinates(group, p, ctx); |
| } |
| |
| int EC_GROUP_get_basis_type(const EC_GROUP *group) |
| { |
| int i; |
| |
| if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field) |
| /* everything else is currently not supported */ |
| return 0; |
| |
| /* Find the last non-zero element of group->poly[] */ |
| for (i = 0; |
| i < (int)OSSL_NELEM(group->poly) && group->poly[i] != 0; |
| i++) |
| continue; |
| |
| if (i == 4) |
| return NID_X9_62_ppBasis; |
| else if (i == 2) |
| return NID_X9_62_tpBasis; |
| else |
| /* everything else is currently not supported */ |
| return 0; |
| } |
| |
| #ifndef OPENSSL_NO_EC2M |
| int EC_GROUP_get_trinomial_basis(const EC_GROUP *group, unsigned int *k) |
| { |
| if (group == NULL) |
| return 0; |
| |
| if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field |
| || !((group->poly[0] != 0) && (group->poly[1] != 0) |
| && (group->poly[2] == 0))) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| |
| if (k) |
| *k = group->poly[1]; |
| |
| return 1; |
| } |
| |
| int EC_GROUP_get_pentanomial_basis(const EC_GROUP *group, unsigned int *k1, |
| unsigned int *k2, unsigned int *k3) |
| { |
| if (group == NULL) |
| return 0; |
| |
| if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field |
| || !((group->poly[0] != 0) && (group->poly[1] != 0) |
| && (group->poly[2] != 0) && (group->poly[3] != 0) |
| && (group->poly[4] == 0))) { |
| ERR_raise(ERR_LIB_EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); |
| return 0; |
| } |
| |
| if (k1) |
| *k1 = group->poly[3]; |
| if (k2) |
| *k2 = group->poly[2]; |
| if (k3) |
| *k3 = group->poly[1]; |
| |
| return 1; |
| } |
| #endif |
| |
| /* |
| * Check if the explicit parameters group matches any built-in curves. |
| * |
| * We create a copy of the group just built, so that we can remove optional |
| * fields for the lookup: we do this to avoid the possibility that one of |
| * the optional parameters is used to force the library into using a less |
| * performant and less secure EC_METHOD instead of the specialized one. |
| * In any case, `seed` is not really used in any computation, while a |
| * cofactor different from the one in the built-in table is just |
| * mathematically wrong anyway and should not be used. |
| */ |
| static EC_GROUP *ec_group_explicit_to_named(const EC_GROUP *group, |
| OSSL_LIB_CTX *libctx, |
| const char *propq, |
| BN_CTX *ctx) |
| { |
| EC_GROUP *ret_group = NULL, *dup = NULL; |
| int curve_name_nid; |
| |
| const EC_POINT *point = EC_GROUP_get0_generator(group); |
| const BIGNUM *order = EC_GROUP_get0_order(group); |
| int no_seed = (EC_GROUP_get0_seed(group) == NULL); |
| |
| if ((dup = EC_GROUP_dup(group)) == NULL |
| || EC_GROUP_set_seed(dup, NULL, 0) != 1 |
| || !EC_GROUP_set_generator(dup, point, order, NULL)) |
| goto err; |
| if ((curve_name_nid = ossl_ec_curve_nid_from_params(dup, ctx)) != NID_undef) { |
| /* |
| * The input explicit parameters successfully matched one of the |
| * built-in curves: often for built-in curves we have specialized |
| * methods with better performance and hardening. |
| * |
| * In this case we replace the `EC_GROUP` created through explicit |
| * parameters with one created from a named group. |
| */ |
| |
| #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
| /* |
| * NID_wap_wsg_idm_ecid_wtls12 and NID_secp224r1 are both aliases for |
| * the same curve, we prefer the SECP nid when matching explicit |
| * parameters as that is associated with a specialized EC_METHOD. |
| */ |
| if (curve_name_nid == NID_wap_wsg_idm_ecid_wtls12) |
| curve_name_nid = NID_secp224r1; |
| #endif /* !def(OPENSSL_NO_EC_NISTP_64_GCC_128) */ |
| |
| ret_group = EC_GROUP_new_by_curve_name_ex(libctx, propq, curve_name_nid); |
| if (ret_group == NULL) |
| goto err; |
| |
| /* |
| * Set the flag so that EC_GROUPs created from explicit parameters are |
| * serialized using explicit parameters by default. |
| */ |
| EC_GROUP_set_asn1_flag(ret_group, OPENSSL_EC_EXPLICIT_CURVE); |
| |
| /* |
| * If the input params do not contain the optional seed field we make |
| * sure it is not added to the returned group. |
| * |
| * The seed field is not really used inside libcrypto anyway, and |
| * adding it to parsed explicit parameter keys would alter their DER |
| * encoding output (because of the extra field) which could impact |
| * applications fingerprinting keys by their DER encoding. |
| */ |
| if (no_seed) { |
| if (EC_GROUP_set_seed(ret_group, NULL, 0) != 1) |
| goto err; |
| } |
| } else { |
| ret_group = (EC_GROUP *)group; |
| } |
| EC_GROUP_free(dup); |
| return ret_group; |
| err: |
| EC_GROUP_free(dup); |
| EC_GROUP_free(ret_group); |
| return NULL; |
| } |
| |
| static EC_GROUP *group_new_from_name(const OSSL_PARAM *p, |
| OSSL_LIB_CTX *libctx, const char *propq) |
| { |
| int ok = 0, nid; |
| const char *curve_name = NULL; |
| |
| switch (p->data_type) { |
| case OSSL_PARAM_UTF8_STRING: |
| /* The OSSL_PARAM functions have no support for this */ |
| curve_name = p->data; |
| ok = (curve_name != NULL); |
| break; |
| case OSSL_PARAM_UTF8_PTR: |
| ok = OSSL_PARAM_get_utf8_ptr(p, &curve_name); |
| break; |
| } |
| |
| if (ok) { |
| nid = ossl_ec_curve_name2nid(curve_name); |
| if (nid == NID_undef) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_CURVE); |
| return NULL; |
| } else { |
| return EC_GROUP_new_by_curve_name_ex(libctx, propq, nid); |
| } |
| } |
| return NULL; |
| } |
| |
| /* These parameters can be set directly into an EC_GROUP */ |
| int ossl_ec_group_set_params(EC_GROUP *group, const OSSL_PARAM params[]) |
| { |
| int encoding_flag = -1, format = -1; |
| const OSSL_PARAM *p; |
| |
| p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_POINT_CONVERSION_FORMAT); |
| if (p != NULL) { |
| if (!ossl_ec_pt_format_param2id(p, &format)) { |
| ECerr(0, EC_R_INVALID_FORM); |
| return 0; |
| } |
| EC_GROUP_set_point_conversion_form(group, format); |
| } |
| |
| p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ENCODING); |
| if (p != NULL) { |
| if (!ossl_ec_encoding_param2id(p, &encoding_flag)) { |
| ECerr(0, EC_R_INVALID_FORM); |
| return 0; |
| } |
| EC_GROUP_set_asn1_flag(group, encoding_flag); |
| } |
| /* Optional seed */ |
| p = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_SEED); |
| if (p != NULL) { |
| /* The seed is allowed to be NULL */ |
| if (p->data_type != OSSL_PARAM_OCTET_STRING |
| || !EC_GROUP_set_seed(group, p->data, p->data_size)) { |
| ECerr(0, EC_R_INVALID_SEED); |
| return 0; |
| } |
| } |
| return 1; |
| } |
| |
| EC_GROUP *EC_GROUP_new_from_params(const OSSL_PARAM params[], |
| OSSL_LIB_CTX *libctx, const char *propq) |
| { |
| const OSSL_PARAM *ptmp, *pa, *pb; |
| int ok = 0; |
| EC_GROUP *group = NULL, *named_group = NULL; |
| BIGNUM *p = NULL, *a = NULL, *b = NULL, *order = NULL, *cofactor = NULL; |
| EC_POINT *point = NULL; |
| int field_bits = 0; |
| int is_prime_field = 1; |
| BN_CTX *bnctx = NULL; |
| const unsigned char *buf = NULL; |
| int encoding_flag = -1; |
| |
| /* This is the simple named group case */ |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_GROUP_NAME); |
| if (ptmp != NULL) { |
| group = group_new_from_name(ptmp, libctx, propq); |
| if (group != NULL) { |
| if (!ossl_ec_group_set_params(group, params)) { |
| EC_GROUP_free(group); |
| group = NULL; |
| } |
| } |
| return group; |
| } |
| /* If it gets here then we are trying explicit parameters */ |
| bnctx = BN_CTX_new_ex(libctx); |
| if (bnctx == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE); |
| return 0; |
| } |
| BN_CTX_start(bnctx); |
| |
| p = BN_CTX_get(bnctx); |
| a = BN_CTX_get(bnctx); |
| b = BN_CTX_get(bnctx); |
| order = BN_CTX_get(bnctx); |
| if (order == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_MALLOC_FAILURE); |
| goto err; |
| } |
| |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_FIELD_TYPE); |
| if (ptmp == NULL || ptmp->data_type != OSSL_PARAM_UTF8_STRING) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_FIELD); |
| goto err; |
| } |
| if (strcasecmp(ptmp->data, SN_X9_62_prime_field) == 0) { |
| is_prime_field = 1; |
| } else if (strcasecmp(ptmp->data, SN_X9_62_characteristic_two_field) == 0) { |
| is_prime_field = 0; |
| } else { |
| /* Invalid field */ |
| ERR_raise(ERR_LIB_EC, EC_R_UNSUPPORTED_FIELD); |
| goto err; |
| } |
| |
| pa = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_A); |
| if (!OSSL_PARAM_get_BN(pa, &a)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_A); |
| goto err; |
| } |
| pb = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_B); |
| if (!OSSL_PARAM_get_BN(pb, &b)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_B); |
| goto err; |
| } |
| |
| /* extract the prime number or irreducible polynomial */ |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_P); |
| if (!OSSL_PARAM_get_BN(ptmp, &p)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_P); |
| goto err; |
| } |
| |
| if (is_prime_field) { |
| if (BN_is_negative(p) || BN_is_zero(p)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_P); |
| goto err; |
| } |
| field_bits = BN_num_bits(p); |
| if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) { |
| ERR_raise(ERR_LIB_EC, EC_R_FIELD_TOO_LARGE); |
| goto err; |
| } |
| |
| /* create the EC_GROUP structure */ |
| group = EC_GROUP_new_curve_GFp(p, a, b, bnctx); |
| } else { |
| #ifdef OPENSSL_NO_EC2M |
| ERR_raise(ERR_LIB_EC, EC_R_GF2M_NOT_SUPPORTED); |
| goto err; |
| #else |
| /* create the EC_GROUP structure */ |
| group = EC_GROUP_new_curve_GF2m(p, a, b, NULL); |
| if (group != NULL) { |
| field_bits = EC_GROUP_get_degree(group); |
| if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) { |
| ERR_raise(ERR_LIB_EC, EC_R_FIELD_TOO_LARGE); |
| goto err; |
| } |
| } |
| #endif /* OPENSSL_NO_EC2M */ |
| } |
| |
| if (group == NULL) { |
| ERR_raise(ERR_LIB_EC, ERR_R_EC_LIB); |
| goto err; |
| } |
| |
| /* Optional seed */ |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_SEED); |
| if (ptmp != NULL) { |
| if (ptmp->data_type != OSSL_PARAM_OCTET_STRING) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_SEED); |
| goto err; |
| } |
| if (!EC_GROUP_set_seed(group, ptmp->data, ptmp->data_size)) |
| goto err; |
| } |
| |
| /* generator base point */ |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_GENERATOR); |
| if (ptmp == NULL |
| || ptmp->data_type != OSSL_PARAM_OCTET_STRING) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR); |
| goto err; |
| } |
| buf = (const unsigned char *)(ptmp->data); |
| if ((point = EC_POINT_new(group)) == NULL) |
| goto err; |
| EC_GROUP_set_point_conversion_form(group, |
| (point_conversion_form_t)buf[0] & ~0x01); |
| if (!EC_POINT_oct2point(group, point, buf, ptmp->data_size, bnctx)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR); |
| goto err; |
| } |
| |
| /* order */ |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ORDER); |
| if (!OSSL_PARAM_get_BN(ptmp, &order) |
| || (BN_is_negative(order) || BN_is_zero(order)) |
| || (BN_num_bits(order) > (int)field_bits + 1)) { /* Hasse bound */ |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_GROUP_ORDER); |
| goto err; |
| } |
| |
| /* Optional cofactor */ |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_COFACTOR); |
| if (ptmp != NULL) { |
| cofactor = BN_CTX_get(bnctx); |
| if (cofactor == NULL || !OSSL_PARAM_get_BN(ptmp, &cofactor)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_COFACTOR); |
| goto err; |
| } |
| } |
| |
| /* set the generator, order and cofactor (if present) */ |
| if (!EC_GROUP_set_generator(group, point, order, cofactor)) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_GENERATOR); |
| goto err; |
| } |
| |
| named_group = ec_group_explicit_to_named(group, libctx, propq, bnctx); |
| if (named_group == NULL) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_NAMED_GROUP_CONVERSION); |
| goto err; |
| } |
| if (named_group == group) { |
| /* |
| * If we did not find a named group then the encoding should be explicit |
| * if it was specified |
| */ |
| ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ENCODING); |
| if (ptmp != NULL |
| && !ossl_ec_encoding_param2id(ptmp, &encoding_flag)) { |
| ECerr(0, EC_R_INVALID_ENCODING); |
| return 0; |
| } |
| if (encoding_flag == OPENSSL_EC_NAMED_CURVE) { |
| ERR_raise(ERR_LIB_EC, EC_R_INVALID_ENCODING); |
| goto err; |
| } |
| EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE); |
| } else { |
| EC_GROUP_free(group); |
| group = named_group; |
| } |
| ok = 1; |
| err: |
| if (!ok) { |
| EC_GROUP_free(group); |
| group = NULL; |
| } |
| EC_POINT_free(point); |
| BN_CTX_end(bnctx); |
| BN_CTX_free(bnctx); |
| |
| return group; |
| } |