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EC_METHOD based on bn_mont2 (not used in the library)
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45264 committed Mar 11, 2001
1 parent 10654d3 commit 5b054c6
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Showing 3 changed files with 313 additions and 9 deletions.
37 changes: 29 additions & 8 deletions crypto/bn/bn_mont2.c
Original file line number Diff line number Diff line change
Expand Up @@ -82,7 +82,8 @@ static BN_ULONG BN_mont_inv(BIGNUM *a, int e, BN_CTX *ctx)
exp = 2;
mask = 3;
if((x = BN_dup(a)) == NULL) return 0;
if(!BN_mask_bits(x, e)) return 0;
if (x->top > e/BN_BITS2)
if(!BN_mask_bits(x, e)) return 0;

BN_CTX_start(ctx);
xy = BN_CTX_get(ctx);
Expand Down Expand Up @@ -138,6 +139,7 @@ int BN_mont_set(BIGNUM *p, BN_MONTGOMERY *mont, BN_CTX *ctx)
if (BN_copy(mont->p, p) == NULL);

mont->p_inv_b_neg = BN_mont_inv(p, BN_BITS2, ctx);
if (!mont->p_inv_b_neg) return 0;
mont->p_inv_b_neg = 0 - mont->p_inv_b_neg;

return 1;
Expand Down Expand Up @@ -267,16 +269,16 @@ int BN_mont_red(BIGNUM *y, BN_MONTGOMERY *mont)
}


int BN_mont_mod_mul(BIGNUM *r, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont)
int BN_mont_mod_mul(BIGNUM *r_, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont, BN_CTX *ctx)
/* r = x * y mod p */
/* r != x && r! = y !!! */
{
BN_ULONG c;
BIGNUM *p;
int i, j, max;
BIGNUM *r;

assert(r != x && r != y);
assert(r != NULL && x != NULL && y != NULL && mont != NULL);
assert(r_!= NULL && x != NULL && y != NULL && mont != NULL);
assert(mont->p != NULL);
assert(BN_cmp(x, mont->p) < 0);
assert(BN_cmp(y, mont->p) < 0);
Expand All @@ -289,14 +291,22 @@ int BN_mont_mod_mul(BIGNUM *r, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont)
return 1;
}

if (r_ == x || r_ == y)
{
BN_CTX_start(ctx);
r = BN_CTX_get(ctx);
}
else
r = r_;

p = mont->p;
max = mont->p_num_bytes;

/* for multiplication we need at most max + 2 words
the last one --- max + 3 --- is only as a backstop
for incorrect input
*/
if (bn_wexpand(r, max + 3) == NULL) return 0;
if (bn_wexpand(r, max + 3) == NULL) goto err;
for (i = 0; i < max + 3; i++) r->d[i] = 0;
r->top = max + 2;

Expand All @@ -308,7 +318,7 @@ int BN_mont_mod_mul(BIGNUM *r, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont)
if (c)
{
if (((r->d[max] += c) & BN_MASK2) < c)
if (((r->d[max + 1] ++) & BN_MASK2) == 0) return 0;
if (((r->d[max + 1] ++) & BN_MASK2) == 0) goto err;
}

/* r = (r + x_i * y) / b */
Expand All @@ -321,7 +331,7 @@ int BN_mont_mod_mul(BIGNUM *r, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont)
j = y->top;
while (((++ (r->d[j]) ) & BN_MASK2) == 0)
j++;
if (j > max) return 0;
if (j > max) goto err;
}
}
r->d[max + 1] = 0;
Expand All @@ -342,8 +352,19 @@ int BN_mont_mod_mul(BIGNUM *r, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont)

if (BN_cmp(r, mont->p) >= 0)
{
if (!BN_sub(r, r, mont->p)) return 0;
if (!BN_sub(r, r, mont->p)) goto err;
}

if (r != r_)
{
if (!BN_copy(r_, r)) goto err;
BN_CTX_end(ctx);
}

return 1;

err:
if (r != r_)
BN_CTX_end(ctx);
return 0;
}
2 changes: 1 addition & 1 deletion crypto/bn/bn_mont2.h
Original file line number Diff line number Diff line change
Expand Up @@ -31,6 +31,6 @@ int BN_to_mont(BIGNUM *x, BN_MONTGOMERY *mont, BN_CTX *ctx);
void BN_mont_clear_free(BN_MONTGOMERY *mont);
int BN_mont_set(BIGNUM *p, BN_MONTGOMERY *mont, BN_CTX *ctx);
int BN_mont_red(BIGNUM *y, BN_MONTGOMERY *mont);
int BN_mont_mod_mul(BIGNUM *r, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont);
int BN_mont_mod_mul(BIGNUM *r, BIGNUM *x, BIGNUM *y, BN_MONTGOMERY *mont, BN_CTX *);

#endif
283 changes: 283 additions & 0 deletions crypto/ec/ecp_mont2.c
Original file line number Diff line number Diff line change
@@ -0,0 +1,283 @@
/* unused */
/* crypto/ec/ecp_mont2.c */
/* ====================================================================
* Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* 3. All advertising materials mentioning features or use of this
* software must display the following acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
*
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
* endorse or promote products derived from this software without
* prior written permission. For written permission, please contact
* openssl-core@openssl.org.
*
* 5. Products derived from this software may not be called "OpenSSL"
* nor may "OpenSSL" appear in their names without prior written
* permission of the OpenSSL Project.
*
* 6. Redistributions of any form whatsoever must retain the following
* acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
*
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
* ====================================================================
*
* This product includes cryptographic software written by Eric Young
* (eay@cryptsoft.com). This product includes software written by Tim
* Hudson (tjh@cryptsoft.com).
*
*/

#define NDEBUG

#include <openssl/err.h>

#include "ec_lcl.h"

#include "../bn/bn_mont2.c"

int ec_GFp_mont2_group_init(EC_GROUP *);
int ec_GFp_mont2_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
void ec_GFp_mont2_group_finish(EC_GROUP *);
void ec_GFp_mont2_group_clear_finish(EC_GROUP *);
/* int ec_GFp_mont2_group_copy(EC_GROUP *, const EC_GROUP *); */
int ec_GFp_mont2_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_mont2_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
int ec_GFp_mont2_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
int ec_GFp_mont2_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
int ec_GFp_mont2_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);

const EC_METHOD *EC_GFp_mont2_method(void)
{
static const EC_METHOD ret = {
ec_GFp_mont2_group_init,
ec_GFp_mont2_group_finish,
ec_GFp_mont2_group_clear_finish,
0 /* ec_GFp_mont2_group_copy */,
ec_GFp_mont2_group_set_curve_GFp,
ec_GFp_simple_group_get_curve_GFp,
ec_GFp_simple_group_set_generator,
ec_GFp_simple_group_get0_generator,
ec_GFp_simple_group_get_order,
ec_GFp_simple_group_get_cofactor,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_point_clear_finish,
ec_GFp_simple_point_copy,
ec_GFp_simple_point_set_to_infinity,
ec_GFp_simple_set_Jprojective_coordinates_GFp,
ec_GFp_simple_get_Jprojective_coordinates_GFp,
ec_GFp_simple_point_set_affine_coordinates_GFp,
ec_GFp_simple_point_get_affine_coordinates_GFp,
ec_GFp_simple_set_compressed_coordinates_GFp,
ec_GFp_simple_point2oct,
ec_GFp_simple_oct2point,
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
ec_GFp_simple_make_affine,
ec_GFp_simple_points_make_affine,
ec_GFp_mont2_field_mul,
ec_GFp_mont2_field_sqr,
ec_GFp_mont2_field_encode,
ec_GFp_mont2_field_decode,
ec_GFp_mont2_field_set_to_one };

return &ret;
}


int ec_GFp_mont2_group_init(EC_GROUP *group)
{
int ok;

ok = ec_GFp_simple_group_init(group);
group->field_data1 = NULL;
group->field_data2 = NULL;
return ok;
}


int ec_GFp_mont2_group_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BN_MONTGOMERY *mont = NULL;
BIGNUM *one = NULL;
int ret = 0;

if (group->field_data1 != NULL)
{
BN_mont_clear_free(group->field_data1);
group->field_data1 = NULL;
}
if (group->field_data2 != NULL)
{
BN_free(group->field_data2);
group->field_data2 = NULL;
}

if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}

mont = BN_mont_new();
if (mont == NULL) goto err;
if (!BN_mont_set(p, mont, ctx))
{
ECerr(EC_F_GFP_MONT2_GROUP_SET_CURVE_GFP, ERR_R_BN_LIB);
goto err;
}
one = BN_new();
if (one == NULL) goto err;
if (!BN_one(one)) goto err;
if (!BN_to_mont(one, mont, ctx)) goto err;

group->field_data1 = mont;
mont = NULL;
group->field_data2 = one;
one = NULL;

ret = ec_GFp_simple_group_set_curve_GFp(group, p, a, b, ctx);

if (!ret)
{
BN_mont_clear_free(group->field_data1);
group->field_data1 = NULL;
BN_free(group->field_data2);
group->field_data2 = NULL;
}

err:
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
if (mont != NULL)
BN_mont_clear_free(mont);
return ret;
}


void ec_GFp_mont2_group_finish(EC_GROUP *group)
{
if (group->field_data1 != NULL)
{
BN_mont_clear_free(group->field_data1);
group->field_data1 = NULL;
}
if (group->field_data2 != NULL)
{
BN_free(group->field_data2);
group->field_data2 = NULL;
}
ec_GFp_simple_group_finish(group);
}


void ec_GFp_mont2_group_clear_finish(EC_GROUP *group)
{
if (group->field_data1 != NULL)
{
BN_mont_clear_free(group->field_data1);
group->field_data1 = NULL;
}
if (group->field_data2 != NULL)
{
BN_clear_free(group->field_data2);
group->field_data2 = NULL;
}
ec_GFp_simple_group_clear_finish(group);
}


int ec_GFp_mont2_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
if (group->field_data1 == NULL)
{
ECerr(EC_F_EC_GFP_MONT2_FIELD_MUL, EC_R_NOT_INITIALIZED);
return 0;
}

return BN_mont_mod_mul(r, a, b, group->field_data1, ctx);
}


int ec_GFp_mont2_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
{
if (group->field_data1 == NULL)
{
ECerr(EC_F_EC_GFP_MONT2_FIELD_SQR, EC_R_NOT_INITIALIZED);
return 0;
}

return BN_mont_mod_mul(r, a, a, group->field_data1, ctx);
}


int ec_GFp_mont2_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
{
if (group->field_data1 == NULL)
{
ECerr(EC_F_EC_GFP_MONT2_FIELD_ENCODE, EC_R_NOT_INITIALIZED);
return 0;
}

if (!BN_copy(r, a)) return 0;
return BN_to_mont(r, (BN_MONTGOMERY *)group->field_data1, ctx);
}


int ec_GFp_mont2_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx)
{
if (group->field_data1 == NULL)
{
ECerr(EC_F_EC_GFP_MONT2_FIELD_DECODE, EC_R_NOT_INITIALIZED);
return 0;
}

if (!BN_copy(r, a)) return 0;
return BN_mont_red(r, (BN_MONTGOMERY *)group->field_data1);
}


int ec_GFp_mont2_field_set_to_one(const EC_GROUP *group, BIGNUM *r, BN_CTX *ctx)
{
if (group->field_data2 == NULL)
{
ECerr(EC_F_EC_GFP_MONT2_FIELD_DECODE, EC_R_NOT_INITIALIZED);
return 0;
}

if (!BN_copy(r, group->field_data2)) return 0;
return 1;
}

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