* Originally written by Bodo Moeller for the OpenSSL project.
*/
/* ====================================================================
- * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
+ * Copyright (c) 1998-2010 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
# endif
#endif
+/* Use default functions for poin2oct, oct2point and compressed coordinates */
+#define EC_FLAGS_DEFAULT_OCT 0x1
+
/* Structure details are not part of the exported interface,
* so all this may change in future versions. */
struct ec_method_st {
+ /* Various method flags */
+ int flags;
/* used by EC_METHOD_get_field_type: */
int field_type; /* a NID */
int curve_name;/* optional NID for named curve */
int asn1_flag; /* flag to control the asn1 encoding */
+ /*
+ * Kludge: upper bit of ans1_flag is used to denote structure
+ * version. Is set, then last field is present. This is done
+ * for interoperation with FIPS code.
+ */
+#define EC_GROUP_ASN1_FLAG_MASK 0x7fffffff
+#define EC_GROUP_VERSION(p) (p->asn1_flag&~EC_GROUP_ASN1_FLAG_MASK)
point_conversion_form_t asn1_form;
unsigned char *seed; /* optional seed for parameters (appears in ASN1) */
* irreducible polynomial defining the field.
*/
- unsigned int poly[5]; /* Field specification for curves over GF(2^m).
- * The irreducible f(t) is then of the form:
- * t^poly[0] + t^poly[1] + ... + t^poly[k]
- * where m = poly[0] > poly[1] > ... > poly[k] = 0.
- */
+ int poly[6]; /* Field specification for curves over GF(2^m).
+ * The irreducible f(t) is then of the form:
+ * t^poly[0] + t^poly[1] + ... + t^poly[k]
+ * where m = poly[0] > poly[1] > ... > poly[k] = 0.
+ * The array is terminated with poly[k+1]=-1.
+ * All elliptic curve irreducibles have at most 5
+ * non-zero terms.
+ */
BIGNUM a, b; /* Curve coefficients.
* (Here the assumption is that BIGNUMs can be used
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 */;
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);
+
+/* 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_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
+
+#ifdef OPENSSL_FIPS
+EC_GROUP *FIPS_ec_group_new_curve_gfp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+EC_GROUP *FIPS_ec_group_new_curve_gf2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+EC_GROUP *FIPS_ec_group_new_by_curve_name(int nid);
+#endif