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diff --git a/src/lib/libcrypto/ec/ec2_oct.c b/src/lib/libcrypto/ec/ec2_oct.c
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1/* $OpenBSD: ec2_oct.c,v 1.7 2015/02/09 15:49:22 jsing Exp $ */
2/* ====================================================================
3 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
4 *
5 * The Elliptic Curve Public-Key Crypto Library (ECC Code) included
6 * herein is developed by SUN MICROSYSTEMS, INC., and is contributed
7 * to the OpenSSL project.
8 *
9 * The ECC Code is licensed pursuant to the OpenSSL open source
10 * license provided below.
11 *
12 * The software is originally written by Sheueling Chang Shantz and
13 * Douglas Stebila of Sun Microsystems Laboratories.
14 *
15 */
16/* ====================================================================
17 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
18 *
19 * Redistribution and use in source and binary forms, with or without
20 * modification, are permitted provided that the following conditions
21 * are met:
22 *
23 * 1. Redistributions of source code must retain the above copyright
24 * notice, this list of conditions and the following disclaimer.
25 *
26 * 2. Redistributions in binary form must reproduce the above copyright
27 * notice, this list of conditions and the following disclaimer in
28 * the documentation and/or other materials provided with the
29 * distribution.
30 *
31 * 3. All advertising materials mentioning features or use of this
32 * software must display the following acknowledgment:
33 * "This product includes software developed by the OpenSSL Project
34 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
35 *
36 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
37 * endorse or promote products derived from this software without
38 * prior written permission. For written permission, please contact
39 * openssl-core@openssl.org.
40 *
41 * 5. Products derived from this software may not be called "OpenSSL"
42 * nor may "OpenSSL" appear in their names without prior written
43 * permission of the OpenSSL Project.
44 *
45 * 6. Redistributions of any form whatsoever must retain the following
46 * acknowledgment:
47 * "This product includes software developed by the OpenSSL Project
48 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
49 *
50 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
51 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
52 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
53 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
54 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
55 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
56 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
57 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
58 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
59 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
60 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
61 * OF THE POSSIBILITY OF SUCH DAMAGE.
62 * ====================================================================
63 *
64 * This product includes cryptographic software written by Eric Young
65 * (eay@cryptsoft.com). This product includes software written by Tim
66 * Hudson (tjh@cryptsoft.com).
67 *
68 */
69
70#include <openssl/opensslconf.h>
71
72#include <openssl/err.h>
73
74#include "ec_lcl.h"
75
76#ifndef OPENSSL_NO_EC2M
77
78/* Calculates and sets the affine coordinates of an EC_POINT from the given
79 * compressed coordinates. Uses algorithm 2.3.4 of SEC 1.
80 * Note that the simple implementation only uses affine coordinates.
81 *
82 * The method is from the following publication:
83 *
84 * Harper, Menezes, Vanstone:
85 * "Public-Key Cryptosystems with Very Small Key Lengths",
86 * EUROCRYPT '92, Springer-Verlag LNCS 658,
87 * published February 1993
88 *
89 * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe
90 * the same method, but claim no priority date earlier than July 29, 1994
91 * (and additionally fail to cite the EUROCRYPT '92 publication as prior art).
92 */
93int
94ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
95 const BIGNUM *x_, int y_bit, BN_CTX *ctx)
96{
97 BN_CTX *new_ctx = NULL;
98 BIGNUM *tmp, *x, *y, *z;
99 int ret = 0, z0;
100
101 /* clear error queue */
102 ERR_clear_error();
103
104 if (ctx == NULL) {
105 ctx = new_ctx = BN_CTX_new();
106 if (ctx == NULL)
107 return 0;
108 }
109 y_bit = (y_bit != 0) ? 1 : 0;
110
111 BN_CTX_start(ctx);
112 if ((tmp = BN_CTX_get(ctx)) == NULL)
113 goto err;
114 if ((x = BN_CTX_get(ctx)) == NULL)
115 goto err;
116 if ((y = BN_CTX_get(ctx)) == NULL)
117 goto err;
118 if ((z = BN_CTX_get(ctx)) == NULL)
119 goto err;
120
121 if (!BN_GF2m_mod_arr(x, x_, group->poly))
122 goto err;
123 if (BN_is_zero(x)) {
124 if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx))
125 goto err;
126 } else {
127 if (!group->meth->field_sqr(group, tmp, x, ctx))
128 goto err;
129 if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx))
130 goto err;
131 if (!BN_GF2m_add(tmp, &group->a, tmp))
132 goto err;
133 if (!BN_GF2m_add(tmp, x, tmp))
134 goto err;
135 if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) {
136 unsigned long err = ERR_peek_last_error();
137
138 if (ERR_GET_LIB(err) == ERR_LIB_BN &&
139 ERR_GET_REASON(err) == BN_R_NO_SOLUTION) {
140 ERR_clear_error();
141 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
142 } else
143 ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
144 goto err;
145 }
146 z0 = (BN_is_odd(z)) ? 1 : 0;
147 if (!group->meth->field_mul(group, y, x, z, ctx))
148 goto err;
149 if (z0 != y_bit) {
150 if (!BN_GF2m_add(y, y, x))
151 goto err;
152 }
153 }
154
155 if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx))
156 goto err;
157
158 ret = 1;
159
160err:
161 BN_CTX_end(ctx);
162 BN_CTX_free(new_ctx);
163 return ret;
164}
165
166
167/* Converts an EC_POINT to an octet string.
168 * If buf is NULL, the encoded length will be returned.
169 * If the length len of buf is smaller than required an error will be returned.
170 */
171size_t
172ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point,
173 point_conversion_form_t form,
174 unsigned char *buf, size_t len, BN_CTX * ctx)
175{
176 size_t ret;
177 BN_CTX *new_ctx = NULL;
178 int used_ctx = 0;
179 BIGNUM *x, *y, *yxi;
180 size_t field_len, i, skip;
181
182 if ((form != POINT_CONVERSION_COMPRESSED)
183 && (form != POINT_CONVERSION_UNCOMPRESSED)
184 && (form != POINT_CONVERSION_HYBRID)) {
185 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM);
186 goto err;
187 }
188 if (EC_POINT_is_at_infinity(group, point) > 0) {
189 /* encodes to a single 0 octet */
190 if (buf != NULL) {
191 if (len < 1) {
192 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
193 return 0;
194 }
195 buf[0] = 0;
196 }
197 return 1;
198 }
199 /* ret := required output buffer length */
200 field_len = (EC_GROUP_get_degree(group) + 7) / 8;
201 ret = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len :
202 1 + 2 * field_len;
203
204 /* if 'buf' is NULL, just return required length */
205 if (buf != NULL) {
206 if (len < ret) {
207 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL);
208 goto err;
209 }
210 if (ctx == NULL) {
211 ctx = new_ctx = BN_CTX_new();
212 if (ctx == NULL)
213 return 0;
214 }
215 BN_CTX_start(ctx);
216 used_ctx = 1;
217 if ((x = BN_CTX_get(ctx)) == NULL)
218 goto err;
219 if ((y = BN_CTX_get(ctx)) == NULL)
220 goto err;
221 if ((yxi = BN_CTX_get(ctx)) == NULL)
222 goto err;
223
224 if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx))
225 goto err;
226
227 buf[0] = form;
228 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 buf[0]++;
233 }
234 i = 1;
235
236 skip = field_len - BN_num_bytes(x);
237 if (skip > field_len) {
238 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
239 goto err;
240 }
241 while (skip > 0) {
242 buf[i++] = 0;
243 skip--;
244 }
245 skip = BN_bn2bin(x, buf + i);
246 i += skip;
247 if (i != 1 + field_len) {
248 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
249 goto err;
250 }
251 if (form == POINT_CONVERSION_UNCOMPRESSED ||
252 form == POINT_CONVERSION_HYBRID) {
253 skip = field_len - BN_num_bytes(y);
254 if (skip > field_len) {
255 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
256 goto err;
257 }
258 while (skip > 0) {
259 buf[i++] = 0;
260 skip--;
261 }
262 skip = BN_bn2bin(y, buf + i);
263 i += skip;
264 }
265 if (i != ret) {
266 ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR);
267 goto err;
268 }
269 }
270 if (used_ctx)
271 BN_CTX_end(ctx);
272 BN_CTX_free(new_ctx);
273 return ret;
274
275err:
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 */
286int
287ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
288 const unsigned char *buf, size_t len, BN_CTX *ctx)
289{
290 point_conversion_form_t form;
291 int y_bit;
292 BN_CTX *new_ctx = NULL;
293 BIGNUM *x, *y, *yxi;
294 size_t field_len, enc_len;
295 int ret = 0;
296
297 if (len == 0) {
298 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL);
299 return 0;
300 }
301 form = buf[0];
302 y_bit = form & 1;
303 form = form & ~1U;
304 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 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 if (form == 0) {
315 if (len != 1) {
316 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
317 return 0;
318 }
319 return EC_POINT_set_to_infinity(group, point);
320 }
321 field_len = (EC_GROUP_get_degree(group) + 7) / 8;
322 enc_len = (form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len :
323 1 + 2 * field_len;
324
325 if (len != enc_len) {
326 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
327 return 0;
328 }
329 if (ctx == NULL) {
330 ctx = new_ctx = BN_CTX_new();
331 if (ctx == NULL)
332 return 0;
333 }
334 BN_CTX_start(ctx);
335 if ((x = BN_CTX_get(ctx)) == NULL)
336 goto err;
337 if ((y = BN_CTX_get(ctx)) == NULL)
338 goto err;
339 if ((yxi = BN_CTX_get(ctx)) == NULL)
340 goto err;
341
342 if (!BN_bin2bn(buf + 1, field_len, x))
343 goto err;
344 if (BN_ucmp(x, &group->field) >= 0) {
345 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
346 goto err;
347 }
348 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 if (!BN_bin2bn(buf + 1 + field_len, field_len, y))
353 goto err;
354 if (BN_ucmp(y, &group->field) >= 0) {
355 ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING);
356 goto err;
357 }
358 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 if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx))
367 goto err;
368 }
369
370 /* test required by X9.62 */
371 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 ret = 1;
376
377err:
378 BN_CTX_end(ctx);
379 BN_CTX_free(new_ctx);
380 return ret;
381}
382#endif
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