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/* $OpenBSD: ec2_oct.c,v 1.7 2015/02/09 15:49:22 jsing Exp $ */ |
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/* ==================================================================== |
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* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. |
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* |
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* The Elliptic Curve Public-Key Crypto Library (ECC Code) included |
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* herein is developed by SUN MICROSYSTEMS, INC., and is contributed |
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* to the OpenSSL project. |
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* |
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* The ECC Code is licensed pursuant to the OpenSSL open source |
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* license provided below. |
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* |
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* The software is originally written by Sheueling Chang Shantz and |
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* Douglas Stebila of Sun Microsystems Laboratories. |
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* |
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*/ |
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/* ==================================================================== |
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* Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. |
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* |
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* Redistribution and use in source and binary forms, with or without |
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* modification, are permitted provided that the following conditions |
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* are met: |
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* |
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* 1. Redistributions of source code must retain the above copyright |
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* notice, this list of conditions and the following disclaimer. |
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* |
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* 2. Redistributions in binary form must reproduce the above copyright |
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* notice, this list of conditions and the following disclaimer in |
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* the documentation and/or other materials provided with the |
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* distribution. |
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* |
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* 3. All advertising materials mentioning features or use of this |
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* software must display the following acknowledgment: |
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* "This product includes software developed by the OpenSSL Project |
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)" |
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* |
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to |
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* endorse or promote products derived from this software without |
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* prior written permission. For written permission, please contact |
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* openssl-core@openssl.org. |
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* |
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* 5. Products derived from this software may not be called "OpenSSL" |
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* nor may "OpenSSL" appear in their names without prior written |
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* permission of the OpenSSL Project. |
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* |
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* 6. Redistributions of any form whatsoever must retain the following |
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* acknowledgment: |
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* "This product includes software developed by the OpenSSL Project |
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)" |
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* |
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY |
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR |
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, |
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) |
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED |
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* OF THE POSSIBILITY OF SUCH DAMAGE. |
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* ==================================================================== |
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* |
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* This product includes cryptographic software written by Eric Young |
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* (eay@cryptsoft.com). This product includes software written by Tim |
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* Hudson (tjh@cryptsoft.com). |
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* |
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*/ |
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#include <openssl/opensslconf.h> |
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72 |
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#include <openssl/err.h> |
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74 |
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#include "ec_lcl.h" |
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#ifndef OPENSSL_NO_EC2M |
77 |
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/* Calculates and sets the affine coordinates of an EC_POINT from the given |
79 |
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* compressed coordinates. Uses algorithm 2.3.4 of SEC 1. |
80 |
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* Note that the simple implementation only uses affine coordinates. |
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* |
82 |
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* The method is from the following publication: |
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* |
84 |
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* Harper, Menezes, Vanstone: |
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* "Public-Key Cryptosystems with Very Small Key Lengths", |
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* EUROCRYPT '92, Springer-Verlag LNCS 658, |
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* published February 1993 |
88 |
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* |
89 |
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* US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe |
90 |
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* the same method, but claim no priority date earlier than July 29, 1994 |
91 |
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* (and additionally fail to cite the EUROCRYPT '92 publication as prior art). |
92 |
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*/ |
93 |
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int |
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ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point, |
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const BIGNUM *x_, int y_bit, BN_CTX *ctx) |
96 |
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{ |
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BN_CTX *new_ctx = NULL; |
98 |
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BIGNUM *tmp, *x, *y, *z; |
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int ret = 0, z0; |
100 |
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|
101 |
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/* clear error queue */ |
102 |
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ERR_clear_error(); |
103 |
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|
104 |
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if (ctx == NULL) { |
105 |
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ctx = new_ctx = BN_CTX_new(); |
106 |
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if (ctx == NULL) |
107 |
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return 0; |
108 |
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} |
109 |
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y_bit = (y_bit != 0) ? 1 : 0; |
110 |
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111 |
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BN_CTX_start(ctx); |
112 |
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if ((tmp = BN_CTX_get(ctx)) == NULL) |
113 |
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goto err; |
114 |
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if ((x = BN_CTX_get(ctx)) == NULL) |
115 |
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goto err; |
116 |
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if ((y = BN_CTX_get(ctx)) == NULL) |
117 |
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goto err; |
118 |
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if ((z = BN_CTX_get(ctx)) == NULL) |
119 |
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goto err; |
120 |
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121 |
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if (!BN_GF2m_mod_arr(x, x_, group->poly)) |
122 |
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goto err; |
123 |
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if (BN_is_zero(x)) { |
124 |
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if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) |
125 |
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goto err; |
126 |
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} else { |
127 |
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if (!group->meth->field_sqr(group, tmp, x, ctx)) |
128 |
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goto err; |
129 |
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if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) |
130 |
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goto err; |
131 |
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if (!BN_GF2m_add(tmp, &group->a, tmp)) |
132 |
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goto err; |
133 |
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if (!BN_GF2m_add(tmp, x, tmp)) |
134 |
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goto err; |
135 |
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if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) { |
136 |
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unsigned long err = ERR_peek_last_error(); |
137 |
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138 |
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if (ERR_GET_LIB(err) == ERR_LIB_BN && |
139 |
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ERR_GET_REASON(err) == BN_R_NO_SOLUTION) { |
140 |
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ERR_clear_error(); |
141 |
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ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT); |
142 |
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} else |
143 |
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ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB); |
144 |
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goto err; |
145 |
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} |
146 |
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z0 = (BN_is_odd(z)) ? 1 : 0; |
147 |
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if (!group->meth->field_mul(group, y, x, z, ctx)) |
148 |
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goto err; |
149 |
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if (z0 != y_bit) { |
150 |
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if (!BN_GF2m_add(y, y, x)) |
151 |
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goto err; |
152 |
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} |
153 |
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} |
154 |
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155 |
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if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) |
156 |
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goto err; |
157 |
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158 |
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ret = 1; |
159 |
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160 |
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err: |
161 |
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BN_CTX_end(ctx); |
162 |
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BN_CTX_free(new_ctx); |
163 |
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return ret; |
164 |
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} |
165 |
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166 |
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167 |
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/* Converts an EC_POINT to an octet string. |
168 |
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* If buf is NULL, the encoded length will be returned. |
169 |
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* If the length len of buf is smaller than required an error will be returned. |
170 |
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*/ |
171 |
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size_t |
172 |
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ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, |
173 |
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point_conversion_form_t form, |
174 |
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unsigned char *buf, size_t len, BN_CTX * ctx) |
175 |
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1 |
{ |
176 |
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size_t ret; |
177 |
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1 |
BN_CTX *new_ctx = NULL; |
178 |
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1 |
int used_ctx = 0; |
179 |
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BIGNUM *x, *y, *yxi; |
180 |
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size_t field_len, i, skip; |
181 |
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182 |
✗✓✗✗
|
1 |
if ((form != POINT_CONVERSION_COMPRESSED) |
183 |
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&& (form != POINT_CONVERSION_UNCOMPRESSED) |
184 |
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&& (form != POINT_CONVERSION_HYBRID)) { |
185 |
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); |
186 |
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goto err; |
187 |
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} |
188 |
✗✓ |
1 |
if (EC_POINT_is_at_infinity(group, point) > 0) { |
189 |
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/* encodes to a single 0 octet */ |
190 |
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if (buf != NULL) { |
191 |
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if (len < 1) { |
192 |
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); |
193 |
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return 0; |
194 |
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} |
195 |
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buf[0] = 0; |
196 |
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} |
197 |
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return 1; |
198 |
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} |
199 |
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/* ret := required output buffer length */ |
200 |
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1 |
field_len = (EC_GROUP_get_degree(group) + 7) / 8; |
201 |
✗✓ |
1 |
ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : |
202 |
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1 + 2 * field_len; |
203 |
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204 |
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/* if 'buf' is NULL, just return required length */ |
205 |
✓✗ |
1 |
if (buf != NULL) { |
206 |
✗✓ |
1 |
if (len < ret) { |
207 |
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ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); |
208 |
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goto err; |
209 |
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} |
210 |
✗✓ |
1 |
if (ctx == NULL) { |
211 |
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ctx = new_ctx = BN_CTX_new(); |
212 |
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if (ctx == NULL) |
213 |
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return 0; |
214 |
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} |
215 |
|
1 |
BN_CTX_start(ctx); |
216 |
|
1 |
used_ctx = 1; |
217 |
✗✓ |
1 |
if ((x = BN_CTX_get(ctx)) == NULL) |
218 |
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goto err; |
219 |
✗✓ |
1 |
if ((y = BN_CTX_get(ctx)) == NULL) |
220 |
|
|
goto err; |
221 |
✗✓ |
1 |
if ((yxi = BN_CTX_get(ctx)) == NULL) |
222 |
|
|
goto err; |
223 |
|
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|
224 |
✗✓ |
1 |
if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) |
225 |
|
|
goto err; |
226 |
|
|
|
227 |
|
1 |
buf[0] = form; |
228 |
✗✓✗✗
|
1 |
if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) { |
229 |
|
|
if (!group->meth->field_div(group, yxi, y, x, ctx)) |
230 |
|
|
goto err; |
231 |
|
|
if (BN_is_odd(yxi)) |
232 |
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buf[0]++; |
233 |
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} |
234 |
|
1 |
i = 1; |
235 |
|
|
|
236 |
|
1 |
skip = field_len - BN_num_bytes(x); |
237 |
✗✓ |
1 |
if (skip > field_len) { |
238 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
239 |
|
|
goto err; |
240 |
|
|
} |
241 |
✗✓ |
1 |
while (skip > 0) { |
242 |
|
|
buf[i++] = 0; |
243 |
|
|
skip--; |
244 |
|
|
} |
245 |
|
1 |
skip = BN_bn2bin(x, buf + i); |
246 |
|
1 |
i += skip; |
247 |
✗✓ |
1 |
if (i != 1 + field_len) { |
248 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
249 |
|
|
goto err; |
250 |
|
|
} |
251 |
✓✗ |
1 |
if (form == POINT_CONVERSION_UNCOMPRESSED || |
252 |
|
|
form == POINT_CONVERSION_HYBRID) { |
253 |
|
1 |
skip = field_len - BN_num_bytes(y); |
254 |
✗✓ |
1 |
if (skip > field_len) { |
255 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
256 |
|
|
goto err; |
257 |
|
|
} |
258 |
✗✓ |
1 |
while (skip > 0) { |
259 |
|
|
buf[i++] = 0; |
260 |
|
|
skip--; |
261 |
|
|
} |
262 |
|
1 |
skip = BN_bn2bin(y, buf + i); |
263 |
|
1 |
i += skip; |
264 |
|
|
} |
265 |
✗✓ |
1 |
if (i != ret) { |
266 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); |
267 |
|
|
goto err; |
268 |
|
|
} |
269 |
|
|
} |
270 |
✓✗ |
1 |
if (used_ctx) |
271 |
|
1 |
BN_CTX_end(ctx); |
272 |
|
1 |
BN_CTX_free(new_ctx); |
273 |
|
1 |
return ret; |
274 |
|
|
|
275 |
|
|
err: |
276 |
|
|
if (used_ctx) |
277 |
|
|
BN_CTX_end(ctx); |
278 |
|
|
BN_CTX_free(new_ctx); |
279 |
|
|
return 0; |
280 |
|
|
} |
281 |
|
|
|
282 |
|
|
|
283 |
|
|
/* Converts an octet string representation to an EC_POINT. |
284 |
|
|
* Note that the simple implementation only uses affine coordinates. |
285 |
|
|
*/ |
286 |
|
|
int |
287 |
|
|
ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point, |
288 |
|
|
const unsigned char *buf, size_t len, BN_CTX *ctx) |
289 |
|
2 |
{ |
290 |
|
|
point_conversion_form_t form; |
291 |
|
|
int y_bit; |
292 |
|
2 |
BN_CTX *new_ctx = NULL; |
293 |
|
|
BIGNUM *x, *y, *yxi; |
294 |
|
|
size_t field_len, enc_len; |
295 |
|
2 |
int ret = 0; |
296 |
|
|
|
297 |
✗✓ |
2 |
if (len == 0) { |
298 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); |
299 |
|
|
return 0; |
300 |
|
|
} |
301 |
|
2 |
form = buf[0]; |
302 |
|
2 |
y_bit = form & 1; |
303 |
|
2 |
form = form & ~1U; |
304 |
✓✓✗✓
|
2 |
if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) && |
305 |
|
|
(form != POINT_CONVERSION_UNCOMPRESSED) && |
306 |
|
|
(form != POINT_CONVERSION_HYBRID)) { |
307 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
308 |
|
|
return 0; |
309 |
|
|
} |
310 |
✓✗✗✓
|
2 |
if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) { |
311 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
312 |
|
|
return 0; |
313 |
|
|
} |
314 |
✓✓ |
2 |
if (form == 0) { |
315 |
✗✓ |
1 |
if (len != 1) { |
316 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
317 |
|
|
return 0; |
318 |
|
|
} |
319 |
|
1 |
return EC_POINT_set_to_infinity(group, point); |
320 |
|
|
} |
321 |
|
1 |
field_len = (EC_GROUP_get_degree(group) + 7) / 8; |
322 |
✗✓ |
1 |
enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : |
323 |
|
|
1 + 2 * field_len; |
324 |
|
|
|
325 |
✗✓ |
1 |
if (len != enc_len) { |
326 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
327 |
|
|
return 0; |
328 |
|
|
} |
329 |
✗✓ |
1 |
if (ctx == NULL) { |
330 |
|
|
ctx = new_ctx = BN_CTX_new(); |
331 |
|
|
if (ctx == NULL) |
332 |
|
|
return 0; |
333 |
|
|
} |
334 |
|
1 |
BN_CTX_start(ctx); |
335 |
✗✓ |
1 |
if ((x = BN_CTX_get(ctx)) == NULL) |
336 |
|
|
goto err; |
337 |
✗✓ |
1 |
if ((y = BN_CTX_get(ctx)) == NULL) |
338 |
|
|
goto err; |
339 |
✗✓ |
1 |
if ((yxi = BN_CTX_get(ctx)) == NULL) |
340 |
|
|
goto err; |
341 |
|
|
|
342 |
✗✓ |
1 |
if (!BN_bin2bn(buf + 1, field_len, x)) |
343 |
|
|
goto err; |
344 |
✗✓ |
1 |
if (BN_ucmp(x, &group->field) >= 0) { |
345 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
346 |
|
|
goto err; |
347 |
|
|
} |
348 |
✗✓ |
1 |
if (form == POINT_CONVERSION_COMPRESSED) { |
349 |
|
|
if (!EC_POINT_set_compressed_coordinates_GF2m(group, point, x, y_bit, ctx)) |
350 |
|
|
goto err; |
351 |
|
|
} else { |
352 |
✗✓ |
1 |
if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) |
353 |
|
|
goto err; |
354 |
✗✓ |
1 |
if (BN_ucmp(y, &group->field) >= 0) { |
355 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
356 |
|
|
goto err; |
357 |
|
|
} |
358 |
✗✓ |
1 |
if (form == POINT_CONVERSION_HYBRID) { |
359 |
|
|
if (!group->meth->field_div(group, yxi, y, x, ctx)) |
360 |
|
|
goto err; |
361 |
|
|
if (y_bit != BN_is_odd(yxi)) { |
362 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); |
363 |
|
|
goto err; |
364 |
|
|
} |
365 |
|
|
} |
366 |
✗✓ |
1 |
if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) |
367 |
|
|
goto err; |
368 |
|
|
} |
369 |
|
|
|
370 |
|
|
/* test required by X9.62 */ |
371 |
✗✓ |
1 |
if (EC_POINT_is_on_curve(group, point, ctx) <= 0) { |
372 |
|
|
ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE); |
373 |
|
|
goto err; |
374 |
|
|
} |
375 |
|
1 |
ret = 1; |
376 |
|
|
|
377 |
|
1 |
err: |
378 |
|
1 |
BN_CTX_end(ctx); |
379 |
|
1 |
BN_CTX_free(new_ctx); |
380 |
|
1 |
return ret; |
381 |
|
|
} |
382 |
|
|
#endif |