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boringssl/crypto/ec/ec.c
David Benjamin 4186b711f4 Don't bother storing the cofactor. 
It's always one. We don't support other kinds of curves with this framework.
(Curve25519 uses a much simpler API.) This also allows us to remove the
check_pub_key_order logic.

Change-Id: Ic15e1ecd68662b838c76b1e0aa15c3a93200d744
Reviewed-on: https://boringssl-review.googlesource.com/8350
Reviewed-by: Adam Langley <agl@google.com>
2016-06-20 17:26:02 +00:00

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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 <assert.h>
#include <string.h>
#include <openssl/bn.h>
#include <openssl/err.h>
#include <openssl/mem.h>
#include <openssl/nid.h>
#include "internal.h"
#include "../internal.h"
static const struct curve_data P224 = {
"NIST P-224",
28,
{/* 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,
{/* 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,
{/* 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,
{/* 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}};
/* MSan appears to have a bug that causes code to be miscompiled in opt mode.
* While that is being looked at, don't run the uint128_t code under MSan. */
#if defined(OPENSSL_64_BIT) && !defined(OPENSSL_WINDOWS) && \
!defined(MEMORY_SANITIZER)
#define BORINGSSL_USE_INT128_CODE
#endif
const struct built_in_curve OPENSSL_built_in_curves[] = {
{
NID_secp521r1,
/* 1.3.132.0.35 */
{0x2b, 0x81, 0x04, 0x00, 0x23}, 5,
&P521,
NULL,
},
{
NID_secp384r1,
/* 1.3.132.0.34 */
{0x2b, 0x81, 0x04, 0x00, 0x22}, 5,
&P384,
NULL,
},
{
NID_X9_62_prime256v1,
/* 1.2.840.10045.3.1.7 */
{0x2a, 0x86, 0x48, 0xce, 0x3d, 0x03, 0x01, 0x07}, 8,
&P256,
#if defined(BORINGSSL_USE_INT128_CODE)
#if !defined(OPENSSL_NO_ASM) && defined(OPENSSL_X86_64) && \
!defined(OPENSSL_SMALL)
EC_GFp_nistz256_method,
#else
EC_GFp_nistp256_method,
#endif
#else
NULL,
#endif
},
{
NID_secp224r1,
/* 1.3.132.0.33 */
{0x2b, 0x81, 0x04, 0x00, 0x21}, 5,
&P224,
#if defined(BORINGSSL_USE_INT128_CODE) && !defined(OPENSSL_SMALL)
EC_GFp_nistp224_method,
#else
NULL,
#endif
},
{NID_undef, {0}, 0, NULL, NULL},
};
/* built_in_curve_scalar_field_monts contains Montgomery contexts for
* performing inversions in the scalar fields of each of the built-in
* curves. It's protected by |built_in_curve_scalar_field_monts_once|. */
static const BN_MONT_CTX **built_in_curve_scalar_field_monts;
static CRYPTO_once_t built_in_curve_scalar_field_monts_once;
static void built_in_curve_scalar_field_monts_init(void) {
unsigned num_built_in_curves;
for (num_built_in_curves = 0;; num_built_in_curves++) {
if (OPENSSL_built_in_curves[num_built_in_curves].nid == NID_undef) {
break;
}
}
assert(0 < num_built_in_curves);
built_in_curve_scalar_field_monts =
OPENSSL_malloc(sizeof(BN_MONT_CTX *) * num_built_in_curves);
if (built_in_curve_scalar_field_monts == NULL) {
return;
}
BIGNUM *order = BN_new();
BN_CTX *bn_ctx = BN_CTX_new();
BN_MONT_CTX *mont_ctx = NULL;
if (bn_ctx == NULL ||
order == NULL) {
goto err;
}
unsigned i;
for (i = 0; i < num_built_in_curves; i++) {
const struct curve_data *curve = OPENSSL_built_in_curves[i].data;
const unsigned param_len = curve->param_len;
const uint8_t *params = curve->data;
mont_ctx = BN_MONT_CTX_new();
if (mont_ctx == NULL) {
goto err;
}
if (!BN_bin2bn(params + 5 * param_len, param_len, order) ||
!BN_MONT_CTX_set(mont_ctx, order, bn_ctx)) {
goto err;
}
built_in_curve_scalar_field_monts[i] = mont_ctx;
mont_ctx = NULL;
}
goto out;
err:
BN_MONT_CTX_free(mont_ctx);
OPENSSL_free((BN_MONT_CTX**) built_in_curve_scalar_field_monts);
built_in_curve_scalar_field_monts = NULL;
out:
BN_free(order);
BN_CTX_free(bn_ctx);
}
EC_GROUP *ec_group_new(const EC_METHOD *meth) {
EC_GROUP *ret;
if (meth == NULL) {
OPENSSL_PUT_ERROR(EC, EC_R_SLOT_FULL);
return NULL;
}
if (meth->group_init == 0) {
OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return NULL;
}
ret = OPENSSL_malloc(sizeof(EC_GROUP));
if (ret == NULL) {
OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE);
return NULL;
}
memset(ret, 0, sizeof(EC_GROUP));
ret->meth = meth;
BN_init(&ret->order);
if (!meth->group_init(ret)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
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, 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;
}
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor) {
if (group->curve_name != NID_undef || group->generator != NULL) {
/* |EC_GROUP_set_generator| may only be used with |EC_GROUP|s returned by
* |EC_GROUP_new_curve_GFp| and may only used once on each group. */
return 0;
}
/* Require a cofactor of one for custom curves, which implies prime order. */
if (!BN_is_one(cofactor)) {
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COFACTOR);
return 0;
}
group->generator = EC_POINT_new(group);
return group->generator != NULL &&
EC_POINT_copy(group->generator, generator) &&
BN_copy(&group->order, order);
}
static EC_GROUP *ec_group_new_from_data(unsigned built_in_index) {
const struct built_in_curve *curve = &OPENSSL_built_in_curves[built_in_index];
EC_GROUP *group = NULL;
EC_POINT *P = NULL;
BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL;
const EC_METHOD *meth;
int ok = 0;
BN_CTX *ctx = BN_CTX_new();
if (ctx == NULL) {
OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE);
goto err;
}
const struct curve_data *data = curve->data;
const unsigned param_len = data->param_len;
const uint8_t *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, 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, ERR_R_EC_LIB);
goto err;
}
} else {
if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) {
OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB);
goto err;
}
}
if ((P = EC_POINT_new(group)) == NULL) {
OPENSSL_PUT_ERROR(EC, 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, ERR_R_BN_LIB);
goto err;
}
if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) {
OPENSSL_PUT_ERROR(EC, ERR_R_EC_LIB);
goto err;
}
if (!BN_bin2bn(params + 5 * param_len, param_len, &group->order)) {
OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
goto err;
}
CRYPTO_once(&built_in_curve_scalar_field_monts_once,
built_in_curve_scalar_field_monts_init);
if (built_in_curve_scalar_field_monts != NULL) {
group->mont_data = built_in_curve_scalar_field_monts[built_in_index];
}
group->generator = P;
P = NULL;
ok = 1;
err:
if (!ok) {
EC_GROUP_free(group);
group = NULL;
}
EC_POINT_free(P);
BN_CTX_free(ctx);
BN_free(p);
BN_free(a);
BN_free(b);
BN_free(x);
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(i);
break;
}
}
if (ret == NULL) {
OPENSSL_PUT_ERROR(EC, 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_POINT_free(group->generator);
BN_free(&group->order);
OPENSSL_free(group);
}
int ec_group_copy(EC_GROUP *dest, const EC_GROUP *src) {
if (dest->meth->group_copy == 0) {
OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (dest->meth != src->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (dest == src) {
return 1;
}
dest->mont_data = src->mont_data;
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 {
EC_POINT_clear_free(dest->generator);
dest->generator = NULL;
}
if (!BN_copy(&dest->order, &src->order)) {
return 0;
}
dest->curve_name = src->curve_name;
return dest->meth->group_copy(dest, src);
}
const BN_MONT_CTX *ec_group_get_mont_data(const EC_GROUP *group) {
return group->mont_data;
}
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) {
EC_GROUP_free(t);
return NULL;
} else {
return t;
}
}
int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ignored) {
return a->curve_name == NID_undef ||
b->curve_name == NID_undef ||
a->curve_name != b->curve_name;
}
const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group) {
return group->generator;
}
const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group) {
assert(!BN_is_zero(&group->order));
return &group->order;
}
int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx) {
if (BN_copy(order, EC_GROUP_get0_order(group)) == NULL) {
return 0;
}
return 1;
}
int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
BN_CTX *ctx) {
/* All |EC_GROUP|s have cofactor 1. */
return BN_set_word(cofactor, 1);
}
int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p, BIGNUM *out_a,
BIGNUM *out_b, BN_CTX *ctx) {
return ec_GFp_simple_group_get_curve(group, out_p, out_a, out_b, ctx);
}
int EC_GROUP_get_curve_name(const EC_GROUP *group) { return group->curve_name; }
unsigned EC_GROUP_get_degree(const EC_GROUP *group) {
return ec_GFp_simple_group_get_degree(group);
}
EC_POINT *EC_POINT_new(const EC_GROUP *group) {
EC_POINT *ret;
if (group == NULL) {
OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
ret = OPENSSL_malloc(sizeof *ret);
if (ret == NULL) {
OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE);
return NULL;
}
ret->meth = group->meth;
if (!ec_GFp_simple_point_init(ret)) {
OPENSSL_free(ret);
return NULL;
}
return ret;
}
void EC_POINT_free(EC_POINT *point) {
if (!point) {
return;
}
ec_GFp_simple_point_finish(point);
OPENSSL_free(point);
}
void EC_POINT_clear_free(EC_POINT *point) {
if (!point) {
return;
}
ec_GFp_simple_point_clear_finish(point);
OPENSSL_cleanse(point, sizeof *point);
OPENSSL_free(point);
}
int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) {
if (dest->meth != src->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (dest == src) {
return 1;
}
return ec_GFp_simple_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, 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->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_point_set_to_infinity(group, point);
}
int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) {
if (group->meth != point->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_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 != point->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_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 != a->meth) || (a->meth != b->meth)) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return -1;
}
return ec_GFp_simple_cmp(group, a, b, ctx);
}
int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) {
if (group->meth != point->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_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;
for (i = 0; i < num; i++) {
if (group->meth != points[i]->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
}
return ec_GFp_simple_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, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (group->meth != point->meth) {
OPENSSL_PUT_ERROR(EC, 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->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (!ec_GFp_simple_point_set_affine_coordinates(group, point, x, y, ctx)) {
return 0;
}
if (!EC_POINT_is_on_curve(group, point, ctx)) {
OPENSSL_PUT_ERROR(EC, EC_R_POINT_IS_NOT_ON_CURVE);
return 0;
}
return 1;
}
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 != r->meth) || (r->meth != a->meth) ||
(a->meth != b->meth)) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_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 != r->meth) || (r->meth != a->meth)) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_dbl(group, r, a, ctx);
}
int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx) {
if (group->meth != a->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_invert(group, a, ctx);
}
int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
const EC_POINT *p, const BIGNUM *p_scalar, BN_CTX *ctx) {
/* Previously, this function set |r| to the point at infinity if there was
* nothing to multiply. But, nobody should be calling this function with
* nothing to multiply in the first place. */
if ((g_scalar == NULL && p_scalar == NULL) ||
((p == NULL) != (p_scalar == NULL))) {
OPENSSL_PUT_ERROR(EC, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (group->meth != r->meth ||
(p != NULL && group->meth != p->meth)) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return group->meth->mul(group, r, g_scalar, p, p_scalar, 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->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return ec_GFp_simple_set_Jprojective_coordinates_GFp(group, point, x, y, z,
ctx);
}
void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag) {}
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group) {
return NULL;
}
int EC_METHOD_get_field_type(const EC_METHOD *meth) {
return NID_X9_62_prime_field;
}
void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
point_conversion_form_t form) {
if (form != POINT_CONVERSION_UNCOMPRESSED) {
abort();
}
}
size_t EC_get_builtin_curves(EC_builtin_curve *out_curves,
size_t max_num_curves) {
unsigned num_built_in_curves;
for (num_built_in_curves = 0;; num_built_in_curves++) {
if (OPENSSL_built_in_curves[num_built_in_curves].nid == NID_undef) {
break;
}
}
unsigned i;
for (i = 0; i < max_num_curves && i < num_built_in_curves; i++) {
out_curves[i].comment = OPENSSL_built_in_curves[i].data->comment;
out_curves[i].nid = OPENSSL_built_in_curves[i].nid;
}
return num_built_in_curves;
}
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