|
- /* 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 <openssl/mem.h>
- #include <openssl/obj.h>
-
- #include "internal.h"
-
-
- static const struct curve_data P224 = {
- "NIST P-224",
- 28,
- 1,
- {/* p */
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x01,
- /* a */
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFE,
- /* b */
- 0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56,
- 0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, 0x27, 0x0B, 0x39, 0x43,
- 0x23, 0x55, 0xFF, 0xB4,
- /* x */
- 0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9,
- 0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xD6,
- 0x11, 0x5C, 0x1D, 0x21,
- /* y */
- 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6,
- 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99,
- 0x85, 0x00, 0x7e, 0x34,
- /* order */
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E, 0x13, 0xDD, 0x29, 0x45,
- 0x5C, 0x5C, 0x2A, 0x3D,
- }};
-
- static const struct curve_data P256 = {
- "NIST P-256",
- 32,
- 1,
- {/* p */
- 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- /* a */
- 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00,
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
- /* b */
- 0x5A, 0xC6, 0x35, 0xD8, 0xAA, 0x3A, 0x93, 0xE7, 0xB3, 0xEB, 0xBD, 0x55,
- 0x76, 0x98, 0x86, 0xBC, 0x65, 0x1D, 0x06, 0xB0, 0xCC, 0x53, 0xB0, 0xF6,
- 0x3B, 0xCE, 0x3C, 0x3E, 0x27, 0xD2, 0x60, 0x4B,
- /* x */
- 0x6B, 0x17, 0xD1, 0xF2, 0xE1, 0x2C, 0x42, 0x47, 0xF8, 0xBC, 0xE6, 0xE5,
- 0x63, 0xA4, 0x40, 0xF2, 0x77, 0x03, 0x7D, 0x81, 0x2D, 0xEB, 0x33, 0xA0,
- 0xF4, 0xA1, 0x39, 0x45, 0xD8, 0x98, 0xC2, 0x96,
- /* y */
- 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, 0x8e, 0xe7, 0xeb, 0x4a,
- 0x7c, 0x0f, 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
- 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5,
- /* order */
- 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84,
- 0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51}};
-
- static const struct curve_data P384 = {
- "NIST P-384",
- 48,
- 1,
- {/* p */
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF,
- /* a */
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF,
- 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC,
- /* b */
- 0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4, 0x98, 0x8E, 0x05, 0x6B,
- 0xE3, 0xF8, 0x2D, 0x19, 0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12,
- 0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A, 0xC6, 0x56, 0x39, 0x8D,
- 0x8A, 0x2E, 0xD1, 0x9D, 0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF,
- /* x */
- 0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37, 0x8E, 0xB1, 0xC7, 0x1E,
- 0xF3, 0x20, 0xAD, 0x74, 0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98,
- 0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38, 0x55, 0x02, 0xF2, 0x5D,
- 0xBF, 0x55, 0x29, 0x6C, 0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7,
- /* y */
- 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf,
- 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c,
- 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce,
- 0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f,
- /* order */
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF, 0x58, 0x1A, 0x0D, 0xB2,
- 0x48, 0xB0, 0xA7, 0x7A, 0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73}};
-
- static const struct curve_data P521 = {
- "NIST P-521",
- 66,
- 1,
- {/* p */
- 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- /* a */
- 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC,
- /* b */
- 0x00, 0x51, 0x95, 0x3E, 0xB9, 0x61, 0x8E, 0x1C, 0x9A, 0x1F, 0x92, 0x9A,
- 0x21, 0xA0, 0xB6, 0x85, 0x40, 0xEE, 0xA2, 0xDA, 0x72, 0x5B, 0x99, 0xB3,
- 0x15, 0xF3, 0xB8, 0xB4, 0x89, 0x91, 0x8E, 0xF1, 0x09, 0xE1, 0x56, 0x19,
- 0x39, 0x51, 0xEC, 0x7E, 0x93, 0x7B, 0x16, 0x52, 0xC0, 0xBD, 0x3B, 0xB1,
- 0xBF, 0x07, 0x35, 0x73, 0xDF, 0x88, 0x3D, 0x2C, 0x34, 0xF1, 0xEF, 0x45,
- 0x1F, 0xD4, 0x6B, 0x50, 0x3F, 0x00,
- /* x */
- 0x00, 0xC6, 0x85, 0x8E, 0x06, 0xB7, 0x04, 0x04, 0xE9, 0xCD, 0x9E, 0x3E,
- 0xCB, 0x66, 0x23, 0x95, 0xB4, 0x42, 0x9C, 0x64, 0x81, 0x39, 0x05, 0x3F,
- 0xB5, 0x21, 0xF8, 0x28, 0xAF, 0x60, 0x6B, 0x4D, 0x3D, 0xBA, 0xA1, 0x4B,
- 0x5E, 0x77, 0xEF, 0xE7, 0x59, 0x28, 0xFE, 0x1D, 0xC1, 0x27, 0xA2, 0xFF,
- 0xA8, 0xDE, 0x33, 0x48, 0xB3, 0xC1, 0x85, 0x6A, 0x42, 0x9B, 0xF9, 0x7E,
- 0x7E, 0x31, 0xC2, 0xE5, 0xBD, 0x66,
- /* y */
- 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a,
- 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b,
- 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee,
- 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad,
- 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe,
- 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50,
- /* order */
- 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF,
- 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFA, 0x51, 0x86,
- 0x87, 0x83, 0xBF, 0x2F, 0x96, 0x6B, 0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09,
- 0xA5, 0xD0, 0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C, 0x47, 0xAE, 0xBB, 0x6F,
- 0xB7, 0x1E, 0x91, 0x38, 0x64, 0x09}};
-
- const struct built_in_curve OPENSSL_built_in_curves[] = {
- {NID_secp224r1, &P224, 0},
- {NID_X9_62_prime256v1, &P256, 0},
- {NID_secp384r1, &P384, 0},
- {NID_secp521r1, &P521, 0},
- {NID_undef, 0, 0},
- };
-
- EC_GROUP *ec_group_new(const EC_METHOD *meth) {
- EC_GROUP *ret;
-
- if (meth == NULL) {
- OPENSSL_PUT_ERROR(EC, ec_group_new, EC_R_SLOT_FULL);
- return NULL;
- }
-
- if (meth->group_init == 0) {
- OPENSSL_PUT_ERROR(EC, ec_group_new, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return NULL;
- }
-
- ret = OPENSSL_malloc(sizeof(EC_GROUP));
- if (ret == NULL) {
- OPENSSL_PUT_ERROR(EC, ec_group_new, ERR_R_MALLOC_FAILURE);
- return NULL;
- }
- memset(ret, 0, sizeof(EC_GROUP));
-
- ret->meth = meth;
- BN_init(&ret->order);
- BN_init(&ret->cofactor);
- ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
-
- if (!meth->group_init(ret)) {
- OPENSSL_free(ret);
- return NULL;
- }
-
- return ret;
- }
-
- static EC_GROUP *ec_group_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
- const BIGNUM *b, BN_CTX *ctx) {
- const EC_METHOD *meth = EC_GFp_mont_method();
- EC_GROUP *ret;
-
- ret = ec_group_new(meth);
- if (ret == NULL) {
- return NULL;
- }
-
- if (ret->meth->group_set_curve == 0) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_curve_GFp,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (!ret->meth->group_set_curve(ret, p, a, b, ctx)) {
- EC_GROUP_free(ret);
- return NULL;
- }
- return ret;
- }
-
- static EC_GROUP *ec_group_new_from_data(const struct built_in_curve *curve) {
- EC_GROUP *group = NULL;
- EC_POINT *P = NULL;
- BN_CTX *ctx = NULL;
- BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order = NULL;
- int ok = 0;
- unsigned param_len;
- const EC_METHOD *meth;
- const struct curve_data *data;
- const uint8_t *params;
-
- if ((ctx = BN_CTX_new()) == NULL) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_MALLOC_FAILURE);
- goto err;
- }
-
- data = curve->data;
- param_len = data->param_len;
- params = data->data;
-
- if (!(p = BN_bin2bn(params + 0 * param_len, param_len, NULL)) ||
- !(a = BN_bin2bn(params + 1 * param_len, param_len, NULL)) ||
- !(b = BN_bin2bn(params + 2 * param_len, param_len, NULL))) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_BN_LIB);
- goto err;
- }
-
- if (curve->method != 0) {
- meth = curve->method();
- if (((group = ec_group_new(meth)) == NULL) ||
- (!(group->meth->group_set_curve(group, p, a, b, ctx)))) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_EC_LIB);
- goto err;
- }
- } else {
- if ((group = ec_group_new_curve_GFp(p, a, b, ctx)) == NULL) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_EC_LIB);
- goto err;
- }
- }
-
- if ((P = EC_POINT_new(group)) == NULL) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_EC_LIB);
- goto err;
- }
-
- if (!(x = BN_bin2bn(params + 3 * param_len, param_len, NULL)) ||
- !(y = BN_bin2bn(params + 4 * param_len, param_len, NULL))) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_BN_LIB);
- goto err;
- }
-
- if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_EC_LIB);
- goto err;
- }
- if (!(order = BN_bin2bn(params + 5 * param_len, param_len, NULL)) ||
- !BN_set_word(x, (BN_ULONG)data->cofactor)) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_BN_LIB);
- goto err;
- }
-
- group->generator = P;
- P = NULL;
- if (!BN_copy(&group->order, order) ||
- !BN_set_word(&group->cofactor, (BN_ULONG)data->cofactor)) {
- OPENSSL_PUT_ERROR(EC, ec_group_new_from_data, ERR_R_BN_LIB);
- goto err;
- }
-
- ok = 1;
-
- err:
- if (!ok) {
- EC_GROUP_free(group);
- group = NULL;
- }
- if (P)
- EC_POINT_free(P);
- if (ctx)
- BN_CTX_free(ctx);
- if (p)
- BN_free(p);
- if (a)
- BN_free(a);
- if (b)
- BN_free(b);
- if (order)
- BN_free(order);
- if (x)
- BN_free(x);
- if (y)
- BN_free(y);
- return group;
- }
-
- EC_GROUP *EC_GROUP_new_by_curve_name(int nid) {
- unsigned i;
- const struct built_in_curve *curve;
- EC_GROUP *ret = NULL;
-
- for (i = 0; OPENSSL_built_in_curves[i].nid != NID_undef; i++) {
- curve = &OPENSSL_built_in_curves[i];
- if (curve->nid == nid) {
- ret = ec_group_new_from_data(curve);
- break;
- }
- }
-
- if (ret == NULL) {
- OPENSSL_PUT_ERROR(EC, EC_GROUP_new_by_curve_name, EC_R_UNKNOWN_GROUP);
- return NULL;
- }
-
- ret->curve_name = nid;
- return ret;
- }
-
- 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->pre_comp);
-
- if (group->generator != NULL) {
- EC_POINT_free(group->generator);
- }
- BN_free(&group->order);
- BN_free(&group->cofactor);
-
- OPENSSL_free(group);
- }
-
- int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src) {
- if (dest->meth->group_copy == 0) {
- OPENSSL_PUT_ERROR(EC, EC_GROUP_copy, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (dest->meth != src->meth) {
- OPENSSL_PUT_ERROR(EC, EC_GROUP_copy, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- if (dest == src) {
- return 1;
- }
-
- ec_pre_comp_free(dest->pre_comp);
- dest->pre_comp = ec_pre_comp_dup(src->pre_comp);
-
- 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 */
- if (dest->generator != NULL) {
- EC_POINT_clear_free(dest->generator);
- dest->generator = NULL;
- }
- }
-
- if (!BN_copy(&dest->order, &src->order) ||
- !BN_copy(&dest->cofactor, &src->cofactor)) {
- return 0;
- }
-
- dest->curve_name = src->curve_name;
- dest->asn1_form = src->asn1_form;
-
- 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;
- }
-
- t = ec_group_new(a->meth);
- if (t == NULL) {
- return NULL;
- }
- if (!EC_GROUP_copy(t, a)) {
- goto err;
- }
-
- ok = 1;
-
- err:
- if (!ok) {
- if (t) {
- EC_GROUP_free(t);
- }
- return NULL;
- } else {
- return t;
- }
- }
-
- int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b) {
- if (a->curve_name == NID_undef || b->curve_name == NID_undef) {
- return 0;
- }
- return a->curve_name == b->curve_name;
- }
-
- const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group) {
- return group->generator;
- }
-
- int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx) {
- if (!BN_copy(order, &group->order)) {
- return 0;
- }
-
- return !BN_is_zero(order);
- }
-
- int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
- BN_CTX *ctx) {
- if (!BN_copy(cofactor, &group->cofactor)) {
- return 0;
- }
-
- return !BN_is_zero(&group->cofactor);
- }
-
- int EC_GROUP_get_curve_name(const EC_GROUP *group) { return group->curve_name; }
-
- int EC_GROUP_get_degree(const EC_GROUP *group) {
- if (group->meth->group_get_degree == 0) {
- OPENSSL_PUT_ERROR(EC, EC_GROUP_get_degree,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- return group->meth->group_get_degree(group);
- }
-
- void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
- point_conversion_form_t form) {
- group->asn1_form = form;
- }
-
- int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) {
- if (group->meth->mul == 0) {
- /* use default */
- return ec_wNAF_precompute_mult(group, ctx);
- }
-
- if (group->meth->precompute_mult != 0) {
- return group->meth->precompute_mult(group, ctx);
- }
-
- 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 ec_wNAF_have_precompute_mult(group);
- }
-
- if (group->meth->have_precompute_mult != 0) {
- return group->meth->have_precompute_mult(group);
- }
-
- return 0; /* cannot tell whether precomputation has been performed */
- }
-
- EC_POINT *EC_POINT_new(const EC_GROUP *group) {
- EC_POINT *ret;
-
- if (group == NULL) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_new, ERR_R_PASSED_NULL_PARAMETER);
- return NULL;
- }
- if (group->meth->point_init == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_new, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return NULL;
- }
-
- ret = OPENSSL_malloc(sizeof *ret);
- if (ret == NULL) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_new, ERR_R_MALLOC_FAILURE);
- return NULL;
- }
-
- ret->meth = group->meth;
-
- if (!ret->meth->point_init(ret)) {
- OPENSSL_free(ret);
- return NULL;
- }
-
- return ret;
- }
-
- void EC_POINT_free(EC_POINT *point) {
- if (!point) {
- 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) {
- 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_cleanse(point, sizeof *point);
- OPENSSL_free(point);
- }
-
- int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) {
- if (dest->meth->point_copy == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_copy, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (dest->meth != src->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_copy, 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) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_dup, ERR_R_MALLOC_FAILURE);
- return NULL;
- }
- r = EC_POINT_copy(t, a);
- if (!r) {
- EC_POINT_free(t);
- return NULL;
- } else {
- return t;
- }
- }
-
- int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) {
- if (group->meth->point_set_to_infinity == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_set_to_infinity,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != point->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_set_to_infinity, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return group->meth->point_set_to_infinity(group, point);
- }
-
- int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) {
- if (group->meth->is_at_infinity == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_is_at_infinity,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != point->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_is_at_infinity, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return group->meth->is_at_infinity(group, point);
- }
-
- int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
- BN_CTX *ctx) {
- if (group->meth->is_on_curve == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_is_on_curve,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != point->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_is_on_curve, 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) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_cmp, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return -1;
- }
- if ((group->meth != a->meth) || (a->meth != b->meth)) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_cmp, EC_R_INCOMPATIBLE_OBJECTS);
- return -1;
- }
- return group->meth->point_cmp(group, a, b, ctx);
- }
-
- int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) {
- if (group->meth->make_affine == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_make_affine,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != point->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_make_affine, 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) {
- OPENSSL_PUT_ERROR(EC, EC_POINTs_make_affine,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- for (i = 0; i < num; i++) {
- if (group->meth != points[i]->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINTs_make_affine, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- }
- return group->meth->points_make_affine(group, num, points, ctx);
- }
-
- int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
- const EC_POINT *point, BIGNUM *x,
- BIGNUM *y, BN_CTX *ctx) {
- if (group->meth->point_get_affine_coordinates == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_get_affine_coordinates_GFp,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != point->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_get_affine_coordinates_GFp,
- EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
- }
-
- int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
- const BIGNUM *x, const BIGNUM *y,
- BN_CTX *ctx) {
- if (group->meth->point_set_affine_coordinates == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_set_affine_coordinates_GFp,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != point->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_set_affine_coordinates_GFp,
- EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
- }
-
- 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) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_add, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if ((group->meth != r->meth) || (r->meth != a->meth) ||
- (a->meth != b->meth)) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_add, 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) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_dbl, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if ((group->meth != r->meth) || (r->meth != a->meth)) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_dbl, 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->dbl == 0) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_invert, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != a->meth) {
- OPENSSL_PUT_ERROR(EC, EC_POINT_invert, EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return group->meth->invert(group, a, ctx);
- }
-
- 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) {
- /* just a convenient interface to EC_POINTs_mul() */
-
- const EC_POINT *points[1];
- const BIGNUM *scalars[1];
-
- points[0] = point;
- scalars[0] = p_scalar;
-
- return EC_POINTs_mul(group, r, g_scalar, (point != NULL && p_scalar != NULL),
- points, scalars, ctx);
- }
-
- 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) {
- if (group->meth->mul == 0) {
- /* use default. Warning, not constant-time. */
- return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
- }
-
- return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
- }
-
- 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->point_set_Jprojective_coordinates_GFp == 0) {
- OPENSSL_PUT_ERROR(EC, ec_point_set_Jprojective_coordinates_GFp,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- if (group->meth != point->meth) {
- OPENSSL_PUT_ERROR(EC, ec_point_set_Jprojective_coordinates_GFp,
- EC_R_INCOMPATIBLE_OBJECTS);
- return 0;
- }
- return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y,
- z, ctx);
- }
|