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- /* Originally written by Bodo Moeller for the OpenSSL project.
- * ====================================================================
- * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in
- * the documentation and/or other materials provided with the
- * distribution.
- *
- * 3. All advertising materials mentioning features or use of this
- * software must display the following acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- * endorse or promote products derived from this software without
- * prior written permission. For written permission, please contact
- * openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- * nor may "OpenSSL" appear in their names without prior written
- * permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- * acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
- * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
- * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
- * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
- * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
- * OF THE POSSIBILITY OF SUCH DAMAGE.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com). This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com).
- *
- */
- /* ====================================================================
- * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
- *
- * Portions of the attached software ("Contribution") are developed by
- * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
- *
- * The Contribution is licensed pursuant to the OpenSSL open source
- * license provided above.
- *
- * The elliptic curve binary polynomial software is originally written by
- * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
- * Laboratories. */
- #include <openssl/ec.h>
- #include <openssl/bn.h>
- #include <openssl/err.h>
- #include "internal.h"
- static size_t ec_GFp_simple_point2oct(const EC_GROUP *group,
- const EC_POINT *point,
- point_conversion_form_t form,
- uint8_t *buf, size_t len, BN_CTX *ctx) {
- size_t ret = 0;
- BN_CTX *new_ctx = NULL;
- int used_ctx = 0;
- if ((form != POINT_CONVERSION_COMPRESSED) &&
- (form != POINT_CONVERSION_UNCOMPRESSED)) {
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_FORM);
- goto err;
- }
- if (EC_POINT_is_at_infinity(group, point)) {
- OPENSSL_PUT_ERROR(EC, EC_R_POINT_AT_INFINITY);
- goto err;
- }
- const size_t field_len = BN_num_bytes(&group->field);
- size_t output_len = 1 /* type byte */ + field_len;
- if (form == POINT_CONVERSION_UNCOMPRESSED) {
- // Uncompressed points have a second coordinate.
- output_len += field_len;
- }
- // if 'buf' is NULL, just return required length
- if (buf != NULL) {
- if (len < output_len) {
- OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
- goto err;
- }
- if (ctx == NULL) {
- ctx = new_ctx = BN_CTX_new();
- if (ctx == NULL) {
- goto err;
- }
- }
- BN_CTX_start(ctx);
- used_ctx = 1;
- BIGNUM *x = BN_CTX_get(ctx);
- BIGNUM *y = BN_CTX_get(ctx);
- if (y == NULL) {
- goto err;
- }
- if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) {
- goto err;
- }
- if ((form == POINT_CONVERSION_COMPRESSED) &&
- BN_is_odd(y)) {
- buf[0] = form + 1;
- } else {
- buf[0] = form;
- }
- size_t i = 1;
- if (!BN_bn2bin_padded(buf + i, field_len, x)) {
- OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
- goto err;
- }
- i += field_len;
- if (form == POINT_CONVERSION_UNCOMPRESSED) {
- if (!BN_bn2bin_padded(buf + i, field_len, y)) {
- OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
- goto err;
- }
- i += field_len;
- }
- if (i != output_len) {
- OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
- goto err;
- }
- }
- ret = output_len;
- err:
- if (used_ctx) {
- BN_CTX_end(ctx);
- }
- BN_CTX_free(new_ctx);
- return ret;
- }
- static int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
- const uint8_t *buf, size_t len,
- BN_CTX *ctx) {
- BN_CTX *new_ctx = NULL;
- int ret = 0, used_ctx = 0;
- if (len == 0) {
- OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
- goto err;
- }
- point_conversion_form_t form = buf[0];
- const int y_bit = form & 1;
- form = form & ~1U;
- if ((form != POINT_CONVERSION_COMPRESSED &&
- form != POINT_CONVERSION_UNCOMPRESSED) ||
- (form == POINT_CONVERSION_UNCOMPRESSED && y_bit)) {
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
- goto err;
- }
- const size_t field_len = BN_num_bytes(&group->field);
- size_t enc_len = 1 /* type byte */ + field_len;
- if (form == POINT_CONVERSION_UNCOMPRESSED) {
- // Uncompressed points have a second coordinate.
- enc_len += field_len;
- }
- if (len != enc_len) {
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
- goto err;
- }
- if (ctx == NULL) {
- ctx = new_ctx = BN_CTX_new();
- if (ctx == NULL) {
- goto err;
- }
- }
- BN_CTX_start(ctx);
- used_ctx = 1;
- BIGNUM *x = BN_CTX_get(ctx);
- BIGNUM *y = BN_CTX_get(ctx);
- if (x == NULL || y == NULL) {
- goto err;
- }
- if (!BN_bin2bn(buf + 1, field_len, x)) {
- goto err;
- }
- if (BN_ucmp(x, &group->field) >= 0) {
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
- goto err;
- }
- if (form == POINT_CONVERSION_COMPRESSED) {
- if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx)) {
- goto err;
- }
- } else {
- if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) {
- goto err;
- }
- if (BN_ucmp(y, &group->field) >= 0) {
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
- goto err;
- }
- if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) {
- goto err;
- }
- }
- ret = 1;
- err:
- if (used_ctx) {
- BN_CTX_end(ctx);
- }
- BN_CTX_free(new_ctx);
- return ret;
- }
- int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
- const uint8_t *buf, size_t len, BN_CTX *ctx) {
- if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
- OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return ec_GFp_simple_oct2point(group, point, buf, len, ctx);
- }
- size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point,
- point_conversion_form_t form, uint8_t *buf,
- size_t len, BN_CTX *ctx) {
- if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
- OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return ec_GFp_simple_point2oct(group, point, form, buf, len, ctx);
- }
- int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
- EC_POINT *point, const BIGNUM *x,
- int y_bit, BN_CTX *ctx) {
- if (EC_GROUP_cmp(group, point->group, NULL) != 0) {
- OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- if (BN_is_negative(x) || BN_cmp(x, &group->field) >= 0) {
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSED_POINT);
- return 0;
- }
- BN_CTX *new_ctx = NULL;
- int ret = 0;
- ERR_clear_error();
- if (ctx == NULL) {
- ctx = new_ctx = BN_CTX_new();
- if (ctx == NULL) {
- return 0;
- }
- }
- y_bit = (y_bit != 0);
- BN_CTX_start(ctx);
- BIGNUM *tmp1 = BN_CTX_get(ctx);
- BIGNUM *tmp2 = BN_CTX_get(ctx);
- BIGNUM *a = BN_CTX_get(ctx);
- BIGNUM *b = BN_CTX_get(ctx);
- BIGNUM *y = BN_CTX_get(ctx);
- if (y == NULL ||
- !EC_GROUP_get_curve_GFp(group, NULL, a, b, ctx)) {
- goto err;
- }
- // Recover y. We have a Weierstrass equation
- // y^2 = x^3 + a*x + b,
- // so y is one of the square roots of x^3 + a*x + b.
- // tmp1 := x^3
- if (!BN_mod_sqr(tmp2, x, &group->field, ctx) ||
- !BN_mod_mul(tmp1, tmp2, x, &group->field, ctx)) {
- goto err;
- }
- // tmp1 := tmp1 + a*x
- if (group->a_is_minus3) {
- if (!bn_mod_lshift1_consttime(tmp2, x, &group->field, ctx) ||
- !bn_mod_add_consttime(tmp2, tmp2, x, &group->field, ctx) ||
- !bn_mod_sub_consttime(tmp1, tmp1, tmp2, &group->field, ctx)) {
- goto err;
- }
- } else {
- if (!BN_mod_mul(tmp2, a, x, &group->field, ctx) ||
- !bn_mod_add_consttime(tmp1, tmp1, tmp2, &group->field, ctx)) {
- goto err;
- }
- }
- // tmp1 := tmp1 + b
- if (!bn_mod_add_consttime(tmp1, tmp1, b, &group->field, ctx)) {
- goto err;
- }
- if (!BN_mod_sqrt(y, tmp1, &group->field, ctx)) {
- unsigned long err = ERR_peek_last_error();
- if (ERR_GET_LIB(err) == ERR_LIB_BN &&
- ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) {
- ERR_clear_error();
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSED_POINT);
- } else {
- OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
- }
- goto err;
- }
- if (y_bit != BN_is_odd(y)) {
- if (BN_is_zero(y)) {
- OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSION_BIT);
- goto err;
- }
- if (!BN_usub(y, &group->field, y)) {
- goto err;
- }
- }
- if (y_bit != BN_is_odd(y)) {
- OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
- goto err;
- }
- if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) {
- goto err;
- }
- ret = 1;
- err:
- BN_CTX_end(ctx);
- BN_CTX_free(new_ctx);
- return ret;
- }
|