group->a = BN_new();
group->b = BN_new();
if (!group->field || !group->a || !group->b) {
- if (!group->field)
- BN_free(group->field);
- if (!group->a)
- BN_free(group->a);
- if (!group->b)
- BN_free(group->b);
+ BN_free(group->field);
+ BN_free(group->a);
+ BN_free(group->b);
return 0;
}
group->a_is_minus3 = 0;
goto err;
}
- /*-
- * check the discriminant:
- * y^2 = x^3 + a*x + b is an elliptic curve <=> 4*a^3 + 27*b^2 != 0 (mod p)
- * 0 =< a, b < p
- */
+ /*-
+ * check the discriminant:
+ * y^2 = x^3 + a*x + b is an elliptic curve <=> 4*a^3 + 27*b^2 != 0 (mod p)
+ * 0 =< a, b < p
+ */
if (BN_is_zero(a)) {
if (BN_is_zero(b))
goto err;
goto err;
if (!BN_mod_add_quick(n1, n0, n1, p))
goto err;
- /*-
- * n1 = 3 * (X_a + Z_a^2) * (X_a - Z_a^2)
- * = 3 * X_a^2 - 3 * Z_a^4
- */
+ /*-
+ * n1 = 3 * (X_a + Z_a^2) * (X_a - Z_a^2)
+ * = 3 * X_a^2 - 3 * Z_a^4
+ */
} else {
if (!field_sqr(group, n0, a->X, ctx))
goto err;
if (Z6 == NULL)
goto err;
- /*-
- * We have a curve defined by a Weierstrass equation
- * y^2 = x^3 + a*x + b.
- * The point to consider is given in Jacobian projective coordinates
- * where (X, Y, Z) represents (x, y) = (X/Z^2, Y/Z^3).
- * Substituting this and multiplying by Z^6 transforms the above equation into
- * Y^2 = X^3 + a*X*Z^4 + b*Z^6.
- * To test this, we add up the right-hand side in 'rh'.
- */
+ /*-
+ * We have a curve defined by a Weierstrass equation
+ * y^2 = x^3 + a*x + b.
+ * The point to consider is given in Jacobian projective coordinates
+ * where (X, Y, Z) represents (x, y) = (X/Z^2, Y/Z^3).
+ * Substituting this and multiplying by Z^6 transforms the above equation into
+ * Y^2 = X^3 + a*X*Z^4 + b*Z^6.
+ * To test this, we add up the right-hand side in 'rh'.
+ */
/* rh := X^2 */
if (!field_sqr(group, rh, point->X, ctx))
int ec_GFp_simple_cmp(const EC_GROUP *group, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx)
{
- /*-
- * return values:
- * -1 error
- * 0 equal (in affine coordinates)
- * 1 not equal
- */
+ /*-
+ * return values:
+ * -1 error
+ * 0 equal (in affine coordinates)
+ * 1 not equal
+ */
int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *,
const BIGNUM *, BN_CTX *);
if (Zb23 == NULL)
goto end;
- /*-
- * We have to decide whether
- * (X_a/Z_a^2, Y_a/Z_a^3) = (X_b/Z_b^2, Y_b/Z_b^3),
- * or equivalently, whether
- * (X_a*Z_b^2, Y_a*Z_b^3) = (X_b*Z_a^2, Y_b*Z_a^3).
- */
+ /*-
+ * We have to decide whether
+ * (X_a/Z_a^2, Y_a/Z_a^3) = (X_b/Z_b^2, Y_b/Z_b^3),
+ * or equivalently, whether
+ * (X_a*Z_b^2, Y_a*Z_b^3) = (X_b*Z_a^2, Y_b*Z_a^3).
+ */
if (!b->Z_is_one) {
if (!field_sqr(group, Zb23, b->Z, ctx))