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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 (at) 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 (at) cryptsoft.com).  This product includes software written by Tim
     55  * Hudson (tjh (at) 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 #include "ec_lcl.h"
     67 
     68 
     69 const EC_METHOD *EC_GFp_mont_method(void)
     70 	{
     71 	static const EC_METHOD ret = {
     72 		NID_X9_62_prime_field,
     73 		ec_GFp_mont_group_init,
     74 		ec_GFp_mont_group_finish,
     75 		ec_GFp_mont_group_clear_finish,
     76 		ec_GFp_mont_group_copy,
     77 		ec_GFp_mont_group_set_curve,
     78 		ec_GFp_simple_group_get_curve,
     79 		ec_GFp_simple_group_get_degree,
     80 		ec_GFp_simple_group_check_discriminant,
     81 		ec_GFp_simple_point_init,
     82 		ec_GFp_simple_point_finish,
     83 		ec_GFp_simple_point_clear_finish,
     84 		ec_GFp_simple_point_copy,
     85 		ec_GFp_simple_point_set_to_infinity,
     86 		ec_GFp_simple_set_Jprojective_coordinates_GFp,
     87 		ec_GFp_simple_get_Jprojective_coordinates_GFp,
     88 		ec_GFp_simple_point_set_affine_coordinates,
     89 		ec_GFp_simple_point_get_affine_coordinates,
     90 		ec_GFp_simple_set_compressed_coordinates,
     91 		ec_GFp_simple_point2oct,
     92 		ec_GFp_simple_oct2point,
     93 		ec_GFp_simple_add,
     94 		ec_GFp_simple_dbl,
     95 		ec_GFp_simple_invert,
     96 		ec_GFp_simple_is_at_infinity,
     97 		ec_GFp_simple_is_on_curve,
     98 		ec_GFp_simple_cmp,
     99 		ec_GFp_simple_make_affine,
    100 		ec_GFp_simple_points_make_affine,
    101 		0 /* mul */,
    102 		0 /* precompute_mult */,
    103 		0 /* have_precompute_mult */,
    104 		ec_GFp_mont_field_mul,
    105 		ec_GFp_mont_field_sqr,
    106 		0 /* field_div */,
    107 		ec_GFp_mont_field_encode,
    108 		ec_GFp_mont_field_decode,
    109 		ec_GFp_mont_field_set_to_one };
    110 
    111 	return &ret;
    112 	}
    113 
    114 
    115 int ec_GFp_mont_group_init(EC_GROUP *group)
    116 	{
    117 	int ok;
    118 
    119 	ok = ec_GFp_simple_group_init(group);
    120 	group->field_data1 = NULL;
    121 	group->field_data2 = NULL;
    122 	return ok;
    123 	}
    124 
    125 
    126 void ec_GFp_mont_group_finish(EC_GROUP *group)
    127 	{
    128 	if (group->field_data1 != NULL)
    129 		{
    130 		BN_MONT_CTX_free(group->field_data1);
    131 		group->field_data1 = NULL;
    132 		}
    133 	if (group->field_data2 != NULL)
    134 		{
    135 		BN_free(group->field_data2);
    136 		group->field_data2 = NULL;
    137 		}
    138 	ec_GFp_simple_group_finish(group);
    139 	}
    140 
    141 
    142 void ec_GFp_mont_group_clear_finish(EC_GROUP *group)
    143 	{
    144 	if (group->field_data1 != NULL)
    145 		{
    146 		BN_MONT_CTX_free(group->field_data1);
    147 		group->field_data1 = NULL;
    148 		}
    149 	if (group->field_data2 != NULL)
    150 		{
    151 		BN_clear_free(group->field_data2);
    152 		group->field_data2 = NULL;
    153 		}
    154 	ec_GFp_simple_group_clear_finish(group);
    155 	}
    156 
    157 
    158 int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src)
    159 	{
    160 	if (dest->field_data1 != NULL)
    161 		{
    162 		BN_MONT_CTX_free(dest->field_data1);
    163 		dest->field_data1 = NULL;
    164 		}
    165 	if (dest->field_data2 != NULL)
    166 		{
    167 		BN_clear_free(dest->field_data2);
    168 		dest->field_data2 = NULL;
    169 		}
    170 
    171 	if (!ec_GFp_simple_group_copy(dest, src)) return 0;
    172 
    173 	if (src->field_data1 != NULL)
    174 		{
    175 		dest->field_data1 = BN_MONT_CTX_new();
    176 		if (dest->field_data1 == NULL) return 0;
    177 		if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1)) goto err;
    178 		}
    179 	if (src->field_data2 != NULL)
    180 		{
    181 		dest->field_data2 = BN_dup(src->field_data2);
    182 		if (dest->field_data2 == NULL) goto err;
    183 		}
    184 
    185 	return 1;
    186 
    187  err:
    188 	if (dest->field_data1 != NULL)
    189 		{
    190 		BN_MONT_CTX_free(dest->field_data1);
    191 		dest->field_data1 = NULL;
    192 		}
    193 	return 0;
    194 	}
    195 
    196 
    197 int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
    198 	{
    199 	BN_CTX *new_ctx = NULL;
    200 	BN_MONT_CTX *mont = NULL;
    201 	BIGNUM *one = NULL;
    202 	int ret = 0;
    203 
    204 	if (group->field_data1 != NULL)
    205 		{
    206 		BN_MONT_CTX_free(group->field_data1);
    207 		group->field_data1 = NULL;
    208 		}
    209 	if (group->field_data2 != NULL)
    210 		{
    211 		BN_free(group->field_data2);
    212 		group->field_data2 = NULL;
    213 		}
    214 
    215 	if (ctx == NULL)
    216 		{
    217 		ctx = new_ctx = BN_CTX_new();
    218 		if (ctx == NULL)
    219 			return 0;
    220 		}
    221 
    222 	mont = BN_MONT_CTX_new();
    223 	if (mont == NULL) goto err;
    224 	if (!BN_MONT_CTX_set(mont, p, ctx))
    225 		{
    226 		ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB);
    227 		goto err;
    228 		}
    229 	one = BN_new();
    230 	if (one == NULL) goto err;
    231 	if (!BN_to_montgomery(one, BN_value_one(), mont, ctx)) goto err;
    232 
    233 	group->field_data1 = mont;
    234 	mont = NULL;
    235 	group->field_data2 = one;
    236 	one = NULL;
    237 
    238 	ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
    239 
    240 	if (!ret)
    241 		{
    242 		BN_MONT_CTX_free(group->field_data1);
    243 		group->field_data1 = NULL;
    244 		BN_free(group->field_data2);
    245 		group->field_data2 = NULL;
    246 		}
    247 
    248  err:
    249 	if (new_ctx != NULL)
    250 		BN_CTX_free(new_ctx);
    251 	if (mont != NULL)
    252 		BN_MONT_CTX_free(mont);
    253 	return ret;
    254 	}
    255 
    256 
    257 int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
    258 	{
    259 	if (group->field_data1 == NULL)
    260 		{
    261 		ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED);
    262 		return 0;
    263 		}
    264 
    265 	return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
    266 	}
    267 
    268 
    269 int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
    270 	{
    271 	if (group->field_data1 == NULL)
    272 		{
    273 		ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED);
    274 		return 0;
    275 		}
    276 
    277 	return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
    278 	}
    279 
    280 
    281 int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
    282 	{
    283 	if (group->field_data1 == NULL)
    284 		{
    285 		ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED);
    286 		return 0;
    287 		}
    288 
    289 	return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
    290 	}
    291 
    292 
    293 int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
    294 	{
    295 	if (group->field_data1 == NULL)
    296 		{
    297 		ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED);
    298 		return 0;
    299 		}
    300 
    301 	return BN_from_montgomery(r, a, group->field_data1, ctx);
    302 	}
    303 
    304 
    305 int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r, BN_CTX *ctx)
    306 	{
    307 	if (group->field_data2 == NULL)
    308 		{
    309 		ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED);
    310 		return 0;
    311 		}
    312 
    313 	if (!BN_copy(r, group->field_data2)) return 0;
    314 	return 1;
    315 	}
    316