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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 #ifdef OPENSSL_FIPS
     67 #include <openssl/fips.h>
     68 #endif
     69 
     70 #include "ec_lcl.h"
     71 
     72 
     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 
    118 	return &ret;
    119 #endif
    120 	}
    121 
    122 
    123 int ec_GFp_mont_group_init(EC_GROUP *group)
    124 	{
    125 	int ok;
    126 
    127 	ok = ec_GFp_simple_group_init(group);
    128 	group->field_data1 = NULL;
    129 	group->field_data2 = NULL;
    130 	return ok;
    131 	}
    132 
    133 
    134 void ec_GFp_mont_group_finish(EC_GROUP *group)
    135 	{
    136 	if (group->field_data1 != NULL)
    137 		{
    138 		BN_MONT_CTX_free(group->field_data1);
    139 		group->field_data1 = NULL;
    140 		}
    141 	if (group->field_data2 != NULL)
    142 		{
    143 		BN_free(group->field_data2);
    144 		group->field_data2 = NULL;
    145 		}
    146 	ec_GFp_simple_group_finish(group);
    147 	}
    148 
    149 
    150 void ec_GFp_mont_group_clear_finish(EC_GROUP *group)
    151 	{
    152 	if (group->field_data1 != NULL)
    153 		{
    154 		BN_MONT_CTX_free(group->field_data1);
    155 		group->field_data1 = NULL;
    156 		}
    157 	if (group->field_data2 != NULL)
    158 		{
    159 		BN_clear_free(group->field_data2);
    160 		group->field_data2 = NULL;
    161 		}
    162 	ec_GFp_simple_group_clear_finish(group);
    163 	}
    164 
    165 
    166 int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src)
    167 	{
    168 	if (dest->field_data1 != NULL)
    169 		{
    170 		BN_MONT_CTX_free(dest->field_data1);
    171 		dest->field_data1 = NULL;
    172 		}
    173 	if (dest->field_data2 != NULL)
    174 		{
    175 		BN_clear_free(dest->field_data2);
    176 		dest->field_data2 = NULL;
    177 		}
    178 
    179 	if (!ec_GFp_simple_group_copy(dest, src)) return 0;
    180 
    181 	if (src->field_data1 != NULL)
    182 		{
    183 		dest->field_data1 = BN_MONT_CTX_new();
    184 		if (dest->field_data1 == NULL) return 0;
    185 		if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1)) goto err;
    186 		}
    187 	if (src->field_data2 != NULL)
    188 		{
    189 		dest->field_data2 = BN_dup(src->field_data2);
    190 		if (dest->field_data2 == NULL) goto err;
    191 		}
    192 
    193 	return 1;
    194 
    195  err:
    196 	if (dest->field_data1 != NULL)
    197 		{
    198 		BN_MONT_CTX_free(dest->field_data1);
    199 		dest->field_data1 = NULL;
    200 		}
    201 	return 0;
    202 	}
    203 
    204 
    205 int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
    206 	{
    207 	BN_CTX *new_ctx = NULL;
    208 	BN_MONT_CTX *mont = NULL;
    209 	BIGNUM *one = NULL;
    210 	int ret = 0;
    211 
    212 	if (group->field_data1 != NULL)
    213 		{
    214 		BN_MONT_CTX_free(group->field_data1);
    215 		group->field_data1 = NULL;
    216 		}
    217 	if (group->field_data2 != NULL)
    218 		{
    219 		BN_free(group->field_data2);
    220 		group->field_data2 = NULL;
    221 		}
    222 
    223 	if (ctx == NULL)
    224 		{
    225 		ctx = new_ctx = BN_CTX_new();
    226 		if (ctx == NULL)
    227 			return 0;
    228 		}
    229 
    230 	mont = BN_MONT_CTX_new();
    231 	if (mont == NULL) goto err;
    232 	if (!BN_MONT_CTX_set(mont, p, ctx))
    233 		{
    234 		ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB);
    235 		goto err;
    236 		}
    237 	one = BN_new();
    238 	if (one == NULL) goto err;
    239 	if (!BN_to_montgomery(one, BN_value_one(), mont, ctx)) goto err;
    240 
    241 	group->field_data1 = mont;
    242 	mont = NULL;
    243 	group->field_data2 = one;
    244 	one = NULL;
    245 
    246 	ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
    247 
    248 	if (!ret)
    249 		{
    250 		BN_MONT_CTX_free(group->field_data1);
    251 		group->field_data1 = NULL;
    252 		BN_free(group->field_data2);
    253 		group->field_data2 = NULL;
    254 		}
    255 
    256  err:
    257 	if (new_ctx != NULL)
    258 		BN_CTX_free(new_ctx);
    259 	if (mont != NULL)
    260 		BN_MONT_CTX_free(mont);
    261 	return ret;
    262 	}
    263 
    264 
    265 int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
    266 	{
    267 	if (group->field_data1 == NULL)
    268 		{
    269 		ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED);
    270 		return 0;
    271 		}
    272 
    273 	return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
    274 	}
    275 
    276 
    277 int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
    278 	{
    279 	if (group->field_data1 == NULL)
    280 		{
    281 		ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED);
    282 		return 0;
    283 		}
    284 
    285 	return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
    286 	}
    287 
    288 
    289 int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
    290 	{
    291 	if (group->field_data1 == NULL)
    292 		{
    293 		ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED);
    294 		return 0;
    295 		}
    296 
    297 	return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
    298 	}
    299 
    300 
    301 int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
    302 	{
    303 	if (group->field_data1 == NULL)
    304 		{
    305 		ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED);
    306 		return 0;
    307 		}
    308 
    309 	return BN_from_montgomery(r, a, group->field_data1, ctx);
    310 	}
    311 
    312 
    313 int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r, BN_CTX *ctx)
    314 	{
    315 	if (group->field_data2 == NULL)
    316 		{
    317 		ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED);
    318 		return 0;
    319 		}
    320 
    321 	if (!BN_copy(r, group->field_data2)) return 0;
    322 	return 1;
    323 	}
    324