/* crypto/ec/ecp_smpl.c */
/* Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de>
- * for the OpenSSL project. */
+ * for the OpenSSL project.
+ * Includes code written by Bodo Moeller for the OpenSSL project.
+*/
/* ====================================================================
* Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
*
* Hudson (tjh@cryptsoft.com).
*
*/
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ * Portions of this software developed by SUN MICROSYSTEMS, INC.,
+ * and contributed to the OpenSSL project.
+ */
#include <openssl/err.h>
+#include <openssl/symhacks.h>
#include "ec_lcl.h"
-
const EC_METHOD *EC_GFp_simple_method(void)
{
static const EC_METHOD ret = {
+ NID_X9_62_prime_field,
ec_GFp_simple_group_init,
ec_GFp_simple_group_finish,
ec_GFp_simple_group_clear_finish,
ec_GFp_simple_group_copy,
- ec_GFp_simple_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_group_check,
+ ec_GFp_simple_group_set_curve,
+ ec_GFp_simple_group_get_curve,
+ ec_GFp_simple_group_get_degree,
+ ec_GFp_simple_group_check_discriminant,
ec_GFp_simple_point_init,
ec_GFp_simple_point_finish,
ec_GFp_simple_point_clear_finish,
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_point_set_affine_coordinates,
+ ec_GFp_simple_point_get_affine_coordinates,
+ ec_GFp_simple_set_compressed_coordinates,
ec_GFp_simple_point2oct,
ec_GFp_simple_oct2point,
ec_GFp_simple_add,
ec_GFp_simple_dbl,
ec_GFp_simple_invert,
+ 0 /* mul */,
+ 0 /* precompute_mult */,
ec_GFp_simple_is_at_infinity,
ec_GFp_simple_is_on_curve,
ec_GFp_simple_cmp,
ec_GFp_simple_points_make_affine,
ec_GFp_simple_field_mul,
ec_GFp_simple_field_sqr,
+ 0 /* field_div */,
0 /* field_encode */,
0 /* field_decode */,
0 /* field_set_to_one */ };
}
+/* Most method functions in this file are designed to work with
+ * non-trivial representations of field elements if necessary
+ * (see ecp_mont.c): while standard modular addition and subtraction
+ * are used, the field_mul and field_sqr methods will be used for
+ * multiplication, and field_encode and field_decode (if defined)
+ * will be used for converting between representations.
+
+ * Functions ec_GFp_simple_points_make_affine() and
+ * ec_GFp_simple_point_get_affine_coordinates() specifically assume
+ * that if a non-trivial representation is used, it is a Montgomery
+ * representation (i.e. 'encoding' means multiplying by some factor R).
+ */
+
+
int ec_GFp_simple_group_init(EC_GROUP *group)
{
BN_init(&group->field);
BN_init(&group->a);
BN_init(&group->b);
group->a_is_minus3 = 0;
- group->generator = NULL;
- BN_init(&group->order);
- BN_init(&group->cofactor);
return 1;
}
BN_free(&group->field);
BN_free(&group->a);
BN_free(&group->b);
- if (group->generator != NULL)
- EC_POINT_free(group->generator);
- BN_free(&group->order);
- BN_free(&group->cofactor);
}
BN_clear_free(&group->field);
BN_clear_free(&group->a);
BN_clear_free(&group->b);
- if (group->generator != NULL)
- {
- EC_POINT_clear_free(group->generator);
- group->generator = NULL;
- }
- BN_clear_free(&group->order);
- BN_clear_free(&group->cofactor);
}
dest->a_is_minus3 = src->a_is_minus3;
- if (src->generator != NULL)
- {
- if (dest->generator == NULL)
- {
- dest->generator = EC_POINT_new(dest);
- if (dest->generator == NULL) return 0;
- }
- if (!EC_POINT_copy(dest->generator, src->generator)) return 0;
- }
- else
- {
- /* src->generator == NULL */
- if (dest->generator != NULL)
- {
- EC_POINT_clear_free(dest->generator);
- dest->generator = NULL;
- }
- }
-
- if (!BN_copy(&dest->order, &src->order)) return 0;
- if (!BN_copy(&dest->cofactor, &src->cofactor)) return 0;
-
return 1;
}
-int ec_GFp_simple_group_set_curve_GFp(EC_GROUP *group,
+int ec_GFp_simple_group_set_curve(EC_GROUP *group,
const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
/* p must be a prime > 3 */
if (BN_num_bits(p) <= 2 || !BN_is_odd(p))
{
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP, EC_R_INVALID_FIELD);
+ ECerr(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE, EC_R_INVALID_FIELD);
return 0;
}
/* group->field */
if (!BN_copy(&group->field, p)) goto err;
- group->field.neg = 0;
+ BN_set_sign(&group->field, 0);
/* group->a */
if (!BN_nnmod(tmp_a, a, p, ctx)) goto err;
}
-int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
+int ec_GFp_simple_group_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
{
int ret = 0;
BN_CTX *new_ctx = NULL;
}
-
-int ec_GFp_simple_group_set_generator(EC_GROUP *group, const EC_POINT *generator,
- const BIGNUM *order, const BIGNUM *cofactor)
- {
- if (generator == NULL)
- {
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
- return 0 ;
- }
-
- if (group->generator == NULL)
- {
- group->generator = EC_POINT_new(group);
- if (group->generator == NULL) return 0;
- }
- if (!EC_POINT_copy(group->generator, generator)) return 0;
-
- if (order != NULL)
- { if (!BN_copy(&group->order, order)) return 0; }
- else
- { if (!BN_zero(&group->order)) return 0; }
-
- if (cofactor != NULL)
- { if (!BN_copy(&group->cofactor, cofactor)) return 0; }
- else
- { if (!BN_zero(&group->cofactor)) return 0; }
-
- return 1;
- }
-
-
-EC_POINT *ec_GFp_simple_group_get0_generator(const EC_GROUP *group)
- {
- return group->generator;
- }
-
-
-int ec_GFp_simple_group_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
- {
- if (!BN_copy(order, &group->order))
- return 0;
-
- return !BN_is_zero(&group->order);
- }
-
-
-int ec_GFp_simple_group_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
+int ec_GFp_simple_group_get_degree(const EC_GROUP *group)
{
- if (!BN_copy(cofactor, &group->cofactor))
- return 0;
-
- return !BN_is_zero(&group->cofactor);
+ return BN_num_bits(&group->field);
}
-int ec_GFp_simple_group_check(const EC_GROUP *group, BN_CTX *ctx)
+int ec_GFp_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
{
int ret = 0;
BIGNUM *a,*b,*order,*tmp_1,*tmp_2;
const BIGNUM *p = &group->field;
BN_CTX *new_ctx = NULL;
- EC_POINT *point = NULL;
if (ctx == NULL)
{
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
{
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK, ERR_R_MALLOC_FAILURE);
+ ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT, ERR_R_MALLOC_FAILURE);
goto err;
}
}
* 0 =< a, b < p */
if (BN_is_zero(a))
{
- if (BN_is_zero(b))
- {
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK, EC_R_DISCRIMINANT_IS_ZERO);
- goto err;
- }
+ if (BN_is_zero(b)) goto err;
}
else if (!BN_is_zero(b))
{
/* tmp_2 = 27*b^2 */
if (!BN_mod_add(a, tmp_1, tmp_2, p, ctx)) goto err;
- if (BN_is_zero(a))
- {
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK, EC_R_DISCRIMINANT_IS_ZERO);
- goto err;
- }
+ if (BN_is_zero(a)) goto err;
}
-
- /* check the generator */
- if (group->generator == NULL)
- {
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK, EC_R_UNDEFINED_GENERATOR);
- goto err;
- }
- if (!ec_GFp_simple_is_on_curve(group, group->generator, ctx))
- {
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK, EC_R_POINT_IS_NOT_ON_CURVE);
- goto err;
- }
-
- /* check the order of the generator */
- if ((point = EC_POINT_new(group)) == NULL) goto err;
- if (!EC_GROUP_get_order(group, order, ctx)) goto err;
- if (BN_is_zero(order))
- {
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK, EC_R_UNDEFINED_ORDER);
- goto err;
- }
-
- if (!EC_POINT_mul(group, point, order, NULL, NULL, ctx)) goto err;
- if (!EC_POINT_is_at_infinity(group, point))
- {
- ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK, EC_R_INVALID_GROUP_ORDER);
- goto err;
- }
-
ret = 1;
err:
BN_CTX_end(ctx);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
- if (point)
- EC_POINT_free(point);
return ret;
}
}
-int ec_GFp_simple_point_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
+int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
{
if (x == NULL || y == NULL)
{
/* unlike for projective coordinates, we do not tolerate this */
- ECerr(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_PASSED_NULL_PARAMETER);
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
}
-int ec_GFp_simple_point_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
+int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point,
BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
- BIGNUM *X, *Y, *Z, *Z_1, *Z_2, *Z_3;
- const BIGNUM *X_, *Y_, *Z_;
+ BIGNUM *Z, *Z_1, *Z_2, *Z_3;
+ const BIGNUM *Z_;
int ret = 0;
if (EC_POINT_is_at_infinity(group, point))
{
- ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_POINT_AT_INFINITY);
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY);
return 0;
}
}
BN_CTX_start(ctx);
- X = BN_CTX_get(ctx);
- Y = BN_CTX_get(ctx);
Z = BN_CTX_get(ctx);
Z_1 = BN_CTX_get(ctx);
Z_2 = BN_CTX_get(ctx);
if (group->meth->field_decode)
{
- if (!group->meth->field_decode(group, X, &point->X, ctx)) goto err;
- if (!group->meth->field_decode(group, Y, &point->Y, ctx)) goto err;
if (!group->meth->field_decode(group, Z, &point->Z, ctx)) goto err;
- X_ = X; Y_ = Y; Z_ = Z;
+ Z_ = Z;
}
else
{
- X_ = &point->X;
- Y_ = &point->Y;
Z_ = &point->Z;
}
if (BN_is_one(Z_))
{
- if (x != NULL)
+ if (group->meth->field_decode)
{
- if (!BN_copy(x, X_)) goto err;
+ if (x != NULL)
+ {
+ if (!group->meth->field_decode(group, x, &point->X, ctx)) goto err;
+ }
+ if (y != NULL)
+ {
+ if (!group->meth->field_decode(group, y, &point->Y, ctx)) goto err;
+ }
}
- if (y != NULL)
+ else
{
- if (!BN_copy(y, Y_)) goto err;
+ if (x != NULL)
+ {
+ if (!BN_copy(x, &point->X)) goto err;
+ }
+ if (y != NULL)
+ {
+ if (!BN_copy(y, &point->Y)) goto err;
+ }
}
}
else
{
if (!BN_mod_inverse(Z_1, Z_, &group->field, ctx))
{
- ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_BN_LIB);
+ ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES, ERR_R_BN_LIB);
goto err;
}
if (x != NULL)
{
- if (group->meth->field_encode == 0)
- {
- /* field_mul works on standard representation */
- if (!group->meth->field_mul(group, x, X_, Z_2, ctx)) goto err;
- }
- else
- {
- if (!BN_mod_mul(x, X_, Z_2, &group->field, ctx)) goto err;
- }
+ /* in the Montgomery case, field_mul will cancel out Montgomery factor in X: */
+ if (!group->meth->field_mul(group, x, &point->X, Z_2, ctx)) goto err;
}
if (y != NULL)
{
/* field_mul works on standard representation */
if (!group->meth->field_mul(group, Z_3, Z_2, Z_1, ctx)) goto err;
- if (!group->meth->field_mul(group, y, Y_, Z_3, ctx)) goto err;
-
}
else
{
if (!BN_mod_mul(Z_3, Z_2, Z_1, &group->field, ctx)) goto err;
- if (!BN_mod_mul(y, Y_, Z_3, &group->field, ctx)) goto err;
}
+
+ /* in the Montgomery case, field_mul will cancel out Montgomery factor in Y: */
+ if (!group->meth->field_mul(group, y, &point->Y, Z_3, ctx)) goto err;
}
}
}
-int ec_GFp_simple_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
+int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *point,
const BIGNUM *x_, int y_bit, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
if (ERR_GET_LIB(err) == ERR_LIB_BN && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE)
{
(void)ERR_get_error();
- ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, EC_R_INVALID_COMPRESSED_POINT);
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
}
else
- ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, ERR_R_BN_LIB);
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_BN_LIB);
goto err;
}
- /* If tmp1 is not a square (i.e. there is no point on the curve with
- * our x), then y now is a nonsense value too */
if (y_bit != BN_is_odd(y))
{
if (kron == -2) goto err;
if (kron == 1)
- ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, EC_R_INVALID_COMPRESSION_BIT);
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSION_BIT);
else
- ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, EC_R_INVALID_COMPRESSED_POINT);
+ /* BN_mod_sqrt() should have cought this error (not a square) */
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSED_POINT);
goto err;
}
if (!BN_usub(y, &group->field, y)) goto err;
}
if (y_bit != BN_is_odd(y))
{
- ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP, ERR_R_INTERNAL_ERROR);
+ ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, ERR_R_INTERNAL_ERROR);
goto err;
}
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