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1 /* crypto/ec/ecp_mont.c */
2 /*
3  * Originally written by Bodo Moeller for the OpenSSL project.
4  */
5 /* ====================================================================
6  * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.
7  *
8  * Redistribution and use in source and binary forms, with or without
9  * modification, are permitted provided that the following conditions
10  * are met:
11  *
12  * 1. Redistributions of source code must retain the above copyright
13  *    notice, this list of conditions and the following disclaimer.
14  *
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in
17  *    the documentation and/or other materials provided with the
18  *    distribution.
19  *
20  * 3. All advertising materials mentioning features or use of this
21  *    software must display the following acknowledgment:
22  *    "This product includes software developed by the OpenSSL Project
23  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
24  *
25  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26  *    endorse or promote products derived from this software without
27  *    prior written permission. For written permission, please contact
28  *    openssl-core@openssl.org.
29  *
30  * 5. Products derived from this software may not be called "OpenSSL"
31  *    nor may "OpenSSL" appear in their names without prior written
32  *    permission of the OpenSSL Project.
33  *
34  * 6. Redistributions of any form whatsoever must retain the following
35  *    acknowledgment:
36  *    "This product includes software developed by the OpenSSL Project
37  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
38  *
39  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
43  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50  * OF THE POSSIBILITY OF SUCH DAMAGE.
51  * ====================================================================
52  *
53  * This product includes cryptographic software written by Eric Young
54  * (eay@cryptsoft.com).  This product includes software written by Tim
55  * Hudson (tjh@cryptsoft.com).
56  *
57  */
58 /* ====================================================================
59  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60  * Portions of this software developed by SUN MICROSYSTEMS, INC.,
61  * and contributed to the OpenSSL project.
62  */
63 
64 #include <openssl/err.h>
65 
66 #ifdef OPENSSL_FIPS
67 #include <openssl/fips.h>
68 #endif
69 
70 #include "ec_lcl.h"
71 
72 
EC_GFp_mont_method(void)73 const EC_METHOD *EC_GFp_mont_method(void)
74 	{
75 #ifdef OPENSSL_FIPS
76 	return fips_ec_gfp_mont_method();
77 #else
78 	static const EC_METHOD ret = {
79 		EC_FLAGS_DEFAULT_OCT,
80 		NID_X9_62_prime_field,
81 		ec_GFp_mont_group_init,
82 		ec_GFp_mont_group_finish,
83 		ec_GFp_mont_group_clear_finish,
84 		ec_GFp_mont_group_copy,
85 		ec_GFp_mont_group_set_curve,
86 		ec_GFp_simple_group_get_curve,
87 		ec_GFp_simple_group_get_degree,
88 		ec_GFp_simple_group_check_discriminant,
89 		ec_GFp_simple_point_init,
90 		ec_GFp_simple_point_finish,
91 		ec_GFp_simple_point_clear_finish,
92 		ec_GFp_simple_point_copy,
93 		ec_GFp_simple_point_set_to_infinity,
94 		ec_GFp_simple_set_Jprojective_coordinates_GFp,
95 		ec_GFp_simple_get_Jprojective_coordinates_GFp,
96 		ec_GFp_simple_point_set_affine_coordinates,
97 		ec_GFp_simple_point_get_affine_coordinates,
98 		0,0,0,
99 		ec_GFp_simple_add,
100 		ec_GFp_simple_dbl,
101 		ec_GFp_simple_invert,
102 		ec_GFp_simple_is_at_infinity,
103 		ec_GFp_simple_is_on_curve,
104 		ec_GFp_simple_cmp,
105 		ec_GFp_simple_make_affine,
106 		ec_GFp_simple_points_make_affine,
107 		0 /* mul */,
108 		0 /* precompute_mult */,
109 		0 /* have_precompute_mult */,
110 		ec_GFp_mont_field_mul,
111 		ec_GFp_mont_field_sqr,
112 		0 /* field_div */,
113 		ec_GFp_mont_field_encode,
114 		ec_GFp_mont_field_decode,
115 		ec_GFp_mont_field_set_to_one };
116 
117 	return &ret;
118 #endif
119 	}
120 
121 
ec_GFp_mont_group_init(EC_GROUP * group)122 int ec_GFp_mont_group_init(EC_GROUP *group)
123 	{
124 	int ok;
125 
126 	ok = ec_GFp_simple_group_init(group);
127 	group->field_data1 = NULL;
128 	group->field_data2 = NULL;
129 	return ok;
130 	}
131 
132 
ec_GFp_mont_group_finish(EC_GROUP * group)133 void ec_GFp_mont_group_finish(EC_GROUP *group)
134 	{
135 	if (group->field_data1 != NULL)
136 		{
137 		BN_MONT_CTX_free(group->field_data1);
138 		group->field_data1 = NULL;
139 		}
140 	if (group->field_data2 != NULL)
141 		{
142 		BN_free(group->field_data2);
143 		group->field_data2 = NULL;
144 		}
145 	ec_GFp_simple_group_finish(group);
146 	}
147 
148 
ec_GFp_mont_group_clear_finish(EC_GROUP * group)149 void ec_GFp_mont_group_clear_finish(EC_GROUP *group)
150 	{
151 	if (group->field_data1 != NULL)
152 		{
153 		BN_MONT_CTX_free(group->field_data1);
154 		group->field_data1 = NULL;
155 		}
156 	if (group->field_data2 != NULL)
157 		{
158 		BN_clear_free(group->field_data2);
159 		group->field_data2 = NULL;
160 		}
161 	ec_GFp_simple_group_clear_finish(group);
162 	}
163 
164 
ec_GFp_mont_group_copy(EC_GROUP * dest,const EC_GROUP * src)165 int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src)
166 	{
167 	if (dest->field_data1 != NULL)
168 		{
169 		BN_MONT_CTX_free(dest->field_data1);
170 		dest->field_data1 = NULL;
171 		}
172 	if (dest->field_data2 != NULL)
173 		{
174 		BN_clear_free(dest->field_data2);
175 		dest->field_data2 = NULL;
176 		}
177 
178 	if (!ec_GFp_simple_group_copy(dest, src)) return 0;
179 
180 	if (src->field_data1 != NULL)
181 		{
182 		dest->field_data1 = BN_MONT_CTX_new();
183 		if (dest->field_data1 == NULL) return 0;
184 		if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1)) goto err;
185 		}
186 	if (src->field_data2 != NULL)
187 		{
188 		dest->field_data2 = BN_dup(src->field_data2);
189 		if (dest->field_data2 == NULL) goto err;
190 		}
191 
192 	return 1;
193 
194  err:
195 	if (dest->field_data1 != NULL)
196 		{
197 		BN_MONT_CTX_free(dest->field_data1);
198 		dest->field_data1 = NULL;
199 		}
200 	return 0;
201 	}
202 
203 
ec_GFp_mont_group_set_curve(EC_GROUP * group,const BIGNUM * p,const BIGNUM * a,const BIGNUM * b,BN_CTX * ctx)204 int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
205 	{
206 	BN_CTX *new_ctx = NULL;
207 	BN_MONT_CTX *mont = NULL;
208 	BIGNUM *one = NULL;
209 	int ret = 0;
210 
211 	if (group->field_data1 != NULL)
212 		{
213 		BN_MONT_CTX_free(group->field_data1);
214 		group->field_data1 = NULL;
215 		}
216 	if (group->field_data2 != NULL)
217 		{
218 		BN_free(group->field_data2);
219 		group->field_data2 = NULL;
220 		}
221 
222 	if (ctx == NULL)
223 		{
224 		ctx = new_ctx = BN_CTX_new();
225 		if (ctx == NULL)
226 			return 0;
227 		}
228 
229 	mont = BN_MONT_CTX_new();
230 	if (mont == NULL) goto err;
231 	if (!BN_MONT_CTX_set(mont, p, ctx))
232 		{
233 		ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB);
234 		goto err;
235 		}
236 	one = BN_new();
237 	if (one == NULL) goto err;
238 	if (!BN_to_montgomery(one, BN_value_one(), mont, ctx)) goto err;
239 
240 	group->field_data1 = mont;
241 	mont = NULL;
242 	group->field_data2 = one;
243 	one = NULL;
244 
245 	ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
246 
247 	if (!ret)
248 		{
249 		BN_MONT_CTX_free(group->field_data1);
250 		group->field_data1 = NULL;
251 		BN_free(group->field_data2);
252 		group->field_data2 = NULL;
253 		}
254 
255  err:
256 	if (new_ctx != NULL)
257 		BN_CTX_free(new_ctx);
258 	if (mont != NULL)
259 		BN_MONT_CTX_free(mont);
260 	return ret;
261 	}
262 
263 
ec_GFp_mont_field_mul(const EC_GROUP * group,BIGNUM * r,const BIGNUM * a,const BIGNUM * b,BN_CTX * ctx)264 int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
265 	{
266 	if (group->field_data1 == NULL)
267 		{
268 		ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED);
269 		return 0;
270 		}
271 
272 	return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
273 	}
274 
275 
ec_GFp_mont_field_sqr(const EC_GROUP * group,BIGNUM * r,const BIGNUM * a,BN_CTX * ctx)276 int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
277 	{
278 	if (group->field_data1 == NULL)
279 		{
280 		ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED);
281 		return 0;
282 		}
283 
284 	return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
285 	}
286 
287 
ec_GFp_mont_field_encode(const EC_GROUP * group,BIGNUM * r,const BIGNUM * a,BN_CTX * ctx)288 int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
289 	{
290 	if (group->field_data1 == NULL)
291 		{
292 		ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED);
293 		return 0;
294 		}
295 
296 	return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
297 	}
298 
299 
ec_GFp_mont_field_decode(const EC_GROUP * group,BIGNUM * r,const BIGNUM * a,BN_CTX * ctx)300 int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
301 	{
302 	if (group->field_data1 == NULL)
303 		{
304 		ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED);
305 		return 0;
306 		}
307 
308 	return BN_from_montgomery(r, a, group->field_data1, ctx);
309 	}
310 
311 
ec_GFp_mont_field_set_to_one(const EC_GROUP * group,BIGNUM * r,BN_CTX * ctx)312 int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r, BN_CTX *ctx)
313 	{
314 	if (group->field_data2 == NULL)
315 		{
316 		ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED);
317 		return 0;
318 		}
319 
320 	if (!BN_copy(r, group->field_data2)) return 0;
321 	return 1;
322 	}
323