* Originally written by Bodo Moeller for the OpenSSL project.
*/
/* ====================================================================
- * Copyright (c) 1998-2001 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
#include <openssl/obj_mac.h>
#include <openssl/ec.h>
+#include <openssl/bn.h>
+#if defined(__SUNPRO_C)
+# if __SUNPRO_C >= 0x520
+# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
+# 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 (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
- /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult: */
- int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
- size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
- int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
-
/* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *);
int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+ /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult
+ * (default implementations are used if the 'mul' pointer is 0): */
+ int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *);
+ int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
+ int (*have_precompute_mult)(const EC_GROUP *group);
+
/* internal functions */
int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
} /* EC_METHOD */;
+typedef struct ec_extra_data_st {
+ struct ec_extra_data_st *next;
+ void *data;
+ void *(*dup_func)(void *);
+ void (*free_func)(void *);
+ void (*clear_free_func)(void *);
+} EC_EXTRA_DATA; /* used in EC_GROUP */
struct ec_group_st {
const EC_METHOD *meth;
unsigned char *seed; /* optional seed for parameters (appears in ASN1) */
size_t seed_len;
- void *extra_data;
- void *(*extra_data_dup_func)(void *);
- void (*extra_data_free_func)(void *);
- void (*extra_data_clear_free_func)(void *);
+ EC_EXTRA_DATA *extra_data; /* linked list */
/* The following members are handled by the method functions,
* even if they appear generic */
* 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
int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */
} /* EC_GROUP */;
+struct ec_key_st {
+ int version;
+
+ EC_GROUP *group;
+
+ EC_POINT *pub_key;
+ BIGNUM *priv_key;
-/* Basically a 'mixin' for extra data, but available for EC_GROUPs only
+ unsigned int enc_flag;
+ point_conversion_form_t conv_form;
+
+ int references;
+ int flags;
+
+ EC_EXTRA_DATA *method_data;
+} /* EC_KEY */;
+
+/* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only
* (with visibility limited to 'package' level for now).
* We use the function pointers as index for retrieval; this obviates
* global ex_data-style index tables.
- * (Currently, we have one slot only, but is is possible to extend this
- * if necessary.) */
-int EC_GROUP_set_extra_data(EC_GROUP *, void *extra_data, void *(*extra_data_dup_func)(void *),
- void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *));
-void *EC_GROUP_get_extra_data(const EC_GROUP *, void *(*extra_data_dup_func)(void *),
- void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *));
-void EC_GROUP_free_extra_data(EC_GROUP *);
-void EC_GROUP_clear_free_extra_data(EC_GROUP *);
+ */
+int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void EC_EX_DATA_free_data(EC_EXTRA_DATA **,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **);
+void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **);
-/* method functions in ec_mult.c */
+/* method functions in ec_mult.c
+ * (ec_lib.c uses these as defaults if group->method->mul is 0) */
int ec_wNAF_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_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
+int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
+
/* method functions in ecp_smpl.c */
int ec_GFp_simple_group_init(EC_GROUP *);
int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
-/* method functions in ecp_recp.c */
-int ec_GFp_recp_group_init(EC_GROUP *);
-int ec_GFp_recp_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-void ec_GFp_recp_group_finish(EC_GROUP *);
-void ec_GFp_recp_group_clear_finish(EC_GROUP *);
-int ec_GFp_recp_group_copy(EC_GROUP *, const EC_GROUP *);
-int ec_GFp_recp_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-int ec_GFp_recp_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
-
-
/* method functions in ecp_nist.c */
+int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src);
int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
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);
+
+/* 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
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