const EC_METHOD *meth;
EC_POINT *generator; /* optional */
- BIGNUM order, cofactor;
+ BIGNUM *order, *cofactor;
int curve_name;/* optional NID for named curve */
int asn1_flag; /* flag to control the asn1 encoding */
/* The following members are handled by the method functions,
* even if they appear generic */
- BIGNUM field; /* Field specification.
+ BIGNUM *field; /* Field specification.
* For curves over GF(p), this is the modulus;
* for curves over GF(2^m), this is the
* irreducible polynomial defining the field.
* non-zero terms.
*/
- BIGNUM a, b; /* Curve coefficients.
+ BIGNUM *a, *b; /* Curve coefficients.
* (Here the assumption is that BIGNUMs can be used
* or abused for all kinds of fields, not just GF(p).)
* For characteristic > 3, the curve is defined
void *field_data1; /* method-specific (e.g., Montgomery structure) */
void *field_data2; /* method-specific */
int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */
+
+ BN_MONT_CTX *mont_data; /* data for ECDSA inverse */
} /* EC_GROUP */;
struct ec_key_st {
point_conversion_form_t conv_form;
int references;
+ int flags;
EC_EXTRA_DATA *method_data;
} /* EC_KEY */;
/* All members except 'meth' are handled by the method functions,
* even if they appear generic */
- BIGNUM X;
- BIGNUM Y;
- BIGNUM Z; /* Jacobian projective coordinates:
+ BIGNUM *X;
+ BIGNUM *Y;
+ BIGNUM *Z; /* Jacobian projective coordinates:
* (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
int Z_is_one; /* enable optimized point arithmetics for special case */
} /* EC_POINT */;
int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
-#ifdef EC_NISTP224_64_GCC_128
+/* method functions in ec2_mult.c */
+int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+int ec_GF2m_have_precompute_mult(const EC_GROUP *group);
+
+#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
/* method functions in ecp_nistp224.c */
int ec_GFp_nistp224_group_init(EC_GROUP *group);
-int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p,
- const BIGNUM *a, const BIGNUM *n, BN_CTX *);
-int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group,
- const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
-int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
- size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *);
+int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx);
int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group);
+
+/* method functions in ecp_nistp256.c */
+int ec_GFp_nistp256_group_init(EC_GROUP *group);
+int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *);
+int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx);
+int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group);
+
+/* method functions in ecp_nistp521.c */
+int ec_GFp_nistp521_group_init(EC_GROUP *group);
+int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *);
+int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx);
+int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group);
+
+/* utility functions in ecp_nistputil.c */
+void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array,
+ size_t felem_size, void *tmp_felems,
+ void (*felem_one)(void *out),
+ int (*felem_is_zero)(const void *in),
+ void (*felem_assign)(void *out, const void *in),
+ void (*felem_square)(void *out, const void *in),
+ void (*felem_mul)(void *out, const void *in1, const void *in2),
+ void (*felem_inv)(void *out, const void *in),
+ void (*felem_contract)(void *out, const void *in));
+void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, unsigned char *digit, unsigned char in);
+#endif
+int ec_precompute_mont_data(EC_GROUP *);
+
+#ifdef ECP_NISTZ256_ASM
+/** Returns GFp methods using montgomery multiplication, with x86-64 optimized
+ * P256. See http://eprint.iacr.org/2013/816.
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_nistz256_method(void);
#endif