}
+/* 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);
/* 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;
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))
}
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 (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;
}
}
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 == 1)
ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, EC_R_INVALID_COMPRESSION_BIT);
else
+ /* 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;
}