396 lines
10 KiB
C
396 lines
10 KiB
C
|
/* $OpenBSD: ecp_oct.c,v 1.11 2018/07/15 16:27:39 tb Exp $ */
|
||
|
/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
|
||
|
* for the OpenSSL project.
|
||
|
* Includes code written by Bodo Moeller for the OpenSSL project.
|
||
|
*/
|
||
|
/* ====================================================================
|
||
|
* Copyright (c) 1998-2002 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 this software developed by SUN MICROSYSTEMS, INC.,
|
||
|
* and contributed to the OpenSSL project.
|
||
|
*/
|
||
|
|
||
|
#include <openssl/err.h>
|
||
|
|
||
|
#include "ec_lcl.h"
|
||
|
|
||
|
int
|
||
|
ec_GFp_simple_set_compressed_coordinates(const EC_GROUP * group,
|
||
|
EC_POINT * point, const BIGNUM * x_, int y_bit, BN_CTX * ctx)
|
||
|
{
|
||
|
BN_CTX *new_ctx = NULL;
|
||
|
BIGNUM *tmp1, *tmp2, *x, *y;
|
||
|
int ret = 0;
|
||
|
|
||
|
/* clear error queue */
|
||
|
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);
|
||
|
if ((tmp1 = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((tmp2 = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((x = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((y = BN_CTX_get(ctx)) == NULL)
|
||
|
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_nnmod(x, x_, &group->field, ctx))
|
||
|
goto err;
|
||
|
if (group->meth->field_decode == 0) {
|
||
|
/* field_{sqr,mul} work on standard representation */
|
||
|
if (!group->meth->field_sqr(group, tmp2, x_, ctx))
|
||
|
goto err;
|
||
|
if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx))
|
||
|
goto err;
|
||
|
} else {
|
||
|
if (!BN_mod_sqr(tmp2, x_, &group->field, ctx))
|
||
|
goto err;
|
||
|
if (!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx))
|
||
|
goto err;
|
||
|
}
|
||
|
|
||
|
/* tmp1 := tmp1 + a*x */
|
||
|
if (group->a_is_minus3) {
|
||
|
if (!BN_mod_lshift1_quick(tmp2, x, &group->field))
|
||
|
goto err;
|
||
|
if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field))
|
||
|
goto err;
|
||
|
if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field))
|
||
|
goto err;
|
||
|
} else {
|
||
|
if (group->meth->field_decode) {
|
||
|
if (!group->meth->field_decode(group, tmp2, &group->a, ctx))
|
||
|
goto err;
|
||
|
if (!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx))
|
||
|
goto err;
|
||
|
} else {
|
||
|
/* field_mul works on standard representation */
|
||
|
if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx))
|
||
|
goto err;
|
||
|
}
|
||
|
|
||
|
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field))
|
||
|
goto err;
|
||
|
}
|
||
|
|
||
|
/* tmp1 := tmp1 + b */
|
||
|
if (group->meth->field_decode) {
|
||
|
if (!group->meth->field_decode(group, tmp2, &group->b, ctx))
|
||
|
goto err;
|
||
|
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field))
|
||
|
goto err;
|
||
|
} else {
|
||
|
if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field))
|
||
|
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();
|
||
|
ECerror(EC_R_INVALID_COMPRESSED_POINT);
|
||
|
} else
|
||
|
ECerror(ERR_R_BN_LIB);
|
||
|
goto err;
|
||
|
}
|
||
|
if (y_bit != BN_is_odd(y)) {
|
||
|
if (BN_is_zero(y)) {
|
||
|
int kron;
|
||
|
|
||
|
kron = BN_kronecker(x, &group->field, ctx);
|
||
|
if (kron == -2)
|
||
|
goto err;
|
||
|
|
||
|
if (kron == 1)
|
||
|
ECerror(EC_R_INVALID_COMPRESSION_BIT);
|
||
|
else
|
||
|
/*
|
||
|
* BN_mod_sqrt() should have cought this
|
||
|
* error (not a square)
|
||
|
*/
|
||
|
ECerror(EC_R_INVALID_COMPRESSED_POINT);
|
||
|
goto err;
|
||
|
}
|
||
|
if (!BN_usub(y, &group->field, y))
|
||
|
goto err;
|
||
|
}
|
||
|
if (y_bit != BN_is_odd(y)) {
|
||
|
ECerror(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;
|
||
|
}
|
||
|
|
||
|
|
||
|
size_t
|
||
|
ec_GFp_simple_point2oct(const EC_GROUP * group, const EC_POINT * point, point_conversion_form_t form,
|
||
|
unsigned char *buf, size_t len, BN_CTX * ctx)
|
||
|
{
|
||
|
size_t ret;
|
||
|
BN_CTX *new_ctx = NULL;
|
||
|
int used_ctx = 0;
|
||
|
BIGNUM *x, *y;
|
||
|
size_t field_len, i, skip;
|
||
|
|
||
|
if ((form != POINT_CONVERSION_COMPRESSED)
|
||
|
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||
|
&& (form != POINT_CONVERSION_HYBRID)) {
|
||
|
ECerror(EC_R_INVALID_FORM);
|
||
|
goto err;
|
||
|
}
|
||
|
if (EC_POINT_is_at_infinity(group, point) > 0) {
|
||
|
/* encodes to a single 0 octet */
|
||
|
if (buf != NULL) {
|
||
|
if (len < 1) {
|
||
|
ECerror(EC_R_BUFFER_TOO_SMALL);
|
||
|
return 0;
|
||
|
}
|
||
|
buf[0] = 0;
|
||
|
}
|
||
|
return 1;
|
||
|
}
|
||
|
/* ret := required output buffer length */
|
||
|
field_len = BN_num_bytes(&group->field);
|
||
|
ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
|
||
|
|
||
|
/* if 'buf' is NULL, just return required length */
|
||
|
if (buf != NULL) {
|
||
|
if (len < ret) {
|
||
|
ECerror(EC_R_BUFFER_TOO_SMALL);
|
||
|
goto err;
|
||
|
}
|
||
|
if (ctx == NULL) {
|
||
|
ctx = new_ctx = BN_CTX_new();
|
||
|
if (ctx == NULL)
|
||
|
return 0;
|
||
|
}
|
||
|
BN_CTX_start(ctx);
|
||
|
used_ctx = 1;
|
||
|
if ((x = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((y = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
|
||
|
if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx))
|
||
|
goto err;
|
||
|
|
||
|
if ((form == POINT_CONVERSION_COMPRESSED || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y))
|
||
|
buf[0] = form + 1;
|
||
|
else
|
||
|
buf[0] = form;
|
||
|
|
||
|
i = 1;
|
||
|
|
||
|
skip = field_len - BN_num_bytes(x);
|
||
|
if (skip > field_len) {
|
||
|
ECerror(ERR_R_INTERNAL_ERROR);
|
||
|
goto err;
|
||
|
}
|
||
|
while (skip > 0) {
|
||
|
buf[i++] = 0;
|
||
|
skip--;
|
||
|
}
|
||
|
skip = BN_bn2bin(x, buf + i);
|
||
|
i += skip;
|
||
|
if (i != 1 + field_len) {
|
||
|
ECerror(ERR_R_INTERNAL_ERROR);
|
||
|
goto err;
|
||
|
}
|
||
|
if (form == POINT_CONVERSION_UNCOMPRESSED || form == POINT_CONVERSION_HYBRID) {
|
||
|
skip = field_len - BN_num_bytes(y);
|
||
|
if (skip > field_len) {
|
||
|
ECerror(ERR_R_INTERNAL_ERROR);
|
||
|
goto err;
|
||
|
}
|
||
|
while (skip > 0) {
|
||
|
buf[i++] = 0;
|
||
|
skip--;
|
||
|
}
|
||
|
skip = BN_bn2bin(y, buf + i);
|
||
|
i += skip;
|
||
|
}
|
||
|
if (i != ret) {
|
||
|
ECerror(ERR_R_INTERNAL_ERROR);
|
||
|
goto err;
|
||
|
}
|
||
|
}
|
||
|
if (used_ctx)
|
||
|
BN_CTX_end(ctx);
|
||
|
BN_CTX_free(new_ctx);
|
||
|
return ret;
|
||
|
|
||
|
err:
|
||
|
if (used_ctx)
|
||
|
BN_CTX_end(ctx);
|
||
|
BN_CTX_free(new_ctx);
|
||
|
return 0;
|
||
|
}
|
||
|
|
||
|
|
||
|
int
|
||
|
ec_GFp_simple_oct2point(const EC_GROUP * group, EC_POINT * point,
|
||
|
const unsigned char *buf, size_t len, BN_CTX * ctx)
|
||
|
{
|
||
|
point_conversion_form_t form;
|
||
|
int y_bit;
|
||
|
BN_CTX *new_ctx = NULL;
|
||
|
BIGNUM *x, *y;
|
||
|
size_t field_len, enc_len;
|
||
|
int ret = 0;
|
||
|
|
||
|
if (len == 0) {
|
||
|
ECerror(EC_R_BUFFER_TOO_SMALL);
|
||
|
return 0;
|
||
|
}
|
||
|
form = buf[0];
|
||
|
y_bit = form & 1;
|
||
|
form = form & ~1U;
|
||
|
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED)
|
||
|
&& (form != POINT_CONVERSION_UNCOMPRESSED)
|
||
|
&& (form != POINT_CONVERSION_HYBRID)) {
|
||
|
ECerror(EC_R_INVALID_ENCODING);
|
||
|
return 0;
|
||
|
}
|
||
|
if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
|
||
|
ECerror(EC_R_INVALID_ENCODING);
|
||
|
return 0;
|
||
|
}
|
||
|
if (form == 0) {
|
||
|
if (len != 1) {
|
||
|
ECerror(EC_R_INVALID_ENCODING);
|
||
|
return 0;
|
||
|
}
|
||
|
return EC_POINT_set_to_infinity(group, point);
|
||
|
}
|
||
|
field_len = BN_num_bytes(&group->field);
|
||
|
enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
|
||
|
|
||
|
if (len != enc_len) {
|
||
|
ECerror(EC_R_INVALID_ENCODING);
|
||
|
return 0;
|
||
|
}
|
||
|
if (ctx == NULL) {
|
||
|
ctx = new_ctx = BN_CTX_new();
|
||
|
if (ctx == NULL)
|
||
|
return 0;
|
||
|
}
|
||
|
BN_CTX_start(ctx);
|
||
|
if ((x = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
if ((y = BN_CTX_get(ctx)) == NULL)
|
||
|
goto err;
|
||
|
|
||
|
if (!BN_bin2bn(buf + 1, field_len, x))
|
||
|
goto err;
|
||
|
if (BN_ucmp(x, &group->field) >= 0) {
|
||
|
ECerror(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) {
|
||
|
ECerror(EC_R_INVALID_ENCODING);
|
||
|
goto err;
|
||
|
}
|
||
|
if (form == POINT_CONVERSION_HYBRID) {
|
||
|
if (y_bit != BN_is_odd(y)) {
|
||
|
ECerror(EC_R_INVALID_ENCODING);
|
||
|
goto err;
|
||
|
}
|
||
|
}
|
||
|
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx))
|
||
|
goto err;
|
||
|
}
|
||
|
|
||
|
/* test required by X9.62 */
|
||
|
if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
|
||
|
ECerror(EC_R_POINT_IS_NOT_ON_CURVE);
|
||
|
goto err;
|
||
|
}
|
||
|
ret = 1;
|
||
|
|
||
|
err:
|
||
|
BN_CTX_end(ctx);
|
||
|
BN_CTX_free(new_ctx);
|
||
|
return ret;
|
||
|
}
|