46 #define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
48 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
50 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
52 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
54 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
56 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
58 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
60 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
62 #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
66 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
67 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
68 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
69 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
70 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
71 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
72 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
73 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
74 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
75 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
76 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
77 #define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
79 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
80 defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
81 #define MBEDTLS_ECP_MONTGOMERY_ENABLED
134 #define MBEDTLS_ECP_DP_MAX 14
180 #if !defined(MBEDTLS_ECP_ALT)
227 typedef struct mbedtls_ecp_group
262 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
283 #define MBEDTLS_ECP_WINDOW_SIZE 4
286 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
299 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
311 #if !defined(MBEDTLS_ECP_C)
314 #define MBEDTLS_ECP_MAX_BITS 1
316 #elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
317 #define MBEDTLS_ECP_MAX_BITS 521
318 #elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
319 #define MBEDTLS_ECP_MAX_BITS 512
320 #elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
321 #define MBEDTLS_ECP_MAX_BITS 448
322 #elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
323 #define MBEDTLS_ECP_MAX_BITS 384
324 #elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
325 #define MBEDTLS_ECP_MAX_BITS 384
326 #elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
327 #define MBEDTLS_ECP_MAX_BITS 256
328 #elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
329 #define MBEDTLS_ECP_MAX_BITS 256
330 #elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
331 #define MBEDTLS_ECP_MAX_BITS 256
332 #elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
333 #define MBEDTLS_ECP_MAX_BITS 255
334 #elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
335 #define MBEDTLS_ECP_MAX_BITS 225 // n is slightly above 2^224
336 #elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
337 #define MBEDTLS_ECP_MAX_BITS 224
338 #elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
339 #define MBEDTLS_ECP_MAX_BITS 192
340 #elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
341 #define MBEDTLS_ECP_MAX_BITS 192
343 #error "Missing definition of MBEDTLS_ECP_MAX_BITS"
346 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
347 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
349 #if defined(MBEDTLS_ECP_RESTARTABLE)
379 #define MBEDTLS_ECP_OPS_CHK 3
380 #define MBEDTLS_ECP_OPS_DBL 8
381 #define MBEDTLS_ECP_OPS_ADD 11
382 #define MBEDTLS_ECP_OPS_INV 120
395 int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
400 #define MBEDTLS_ECP_BUDGET( ops ) \
401 MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
402 (unsigned) (ops) ) );
406 #define MBEDTLS_ECP_BUDGET( ops )
432 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
433 #define MBEDTLS_ECP_PF_COMPRESSED 1
438 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
440 #if defined(MBEDTLS_ECP_RESTARTABLE)
627 #if defined(MBEDTLS_ECP_RESTARTABLE)
671 const mbedtls_ecp_group *src );
723 const char *x,
const char *y );
752 int format,
size_t *olen,
753 unsigned char *buf,
size_t buflen );
779 const unsigned char *buf,
size_t ilen );
801 const unsigned char **buf,
size_t len );
827 int format,
size_t *olen,
828 unsigned char *buf,
size_t blen );
867 const unsigned char **buf,
size_t len );
888 const unsigned char **buf,
910 unsigned char *buf,
size_t blen );
943 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng );
977 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng,
978 mbedtls_ecp_restart_ctx *rs_ctx );
980 #if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1064 mbedtls_ecp_restart_ctx *rs_ctx );
1136 int (*f_rng)(
void *,
unsigned char *,
size_t),
1169 int (*f_rng)(
void *,
unsigned char *,
size_t),
1197 int (*f_rng)(
void *,
unsigned char *,
size_t),
1214 int (*f_rng)(
void *,
unsigned char *,
size_t),
1236 const unsigned char *buf,
size_t buflen );
1255 unsigned char *buf,
size_t buflen );
1279 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng );
1281 #if defined(MBEDTLS_SELF_TEST)
int mbedtls_ecp_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is the point at infinity.
int mbedtls_ecp_mul_restartable(mbedtls_ecp_group *grp, mbedtls_ecp_point *R, const mbedtls_mpi *m, const mbedtls_ecp_point *P, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng, mbedtls_ecp_restart_ctx *rs_ctx)
This function performs multiplication of a point by an integer: R = m * P in a restartable way...
void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx)
Free the components of a restart context.
int mbedtls_ecp_muladd(mbedtls_ecp_group *grp, mbedtls_ecp_point *R, const mbedtls_mpi *m, const mbedtls_ecp_point *P, const mbedtls_mpi *n, const mbedtls_ecp_point *Q)
This function performs multiplication and addition of two points by integers: R = m * P + n * Q...
int mbedtls_ecp_point_read_binary(const mbedtls_ecp_group *grp, mbedtls_ecp_point *P, const unsigned char *buf, size_t ilen)
This function imports a point from unsigned binary data.
mbedtls_ecp_curve_type mbedtls_ecp_get_type(const mbedtls_ecp_group *grp)
int mbedtls_ecp_muladd_restartable(mbedtls_ecp_group *grp, mbedtls_ecp_point *R, const mbedtls_mpi *m, const mbedtls_ecp_point *P, const mbedtls_mpi *n, const mbedtls_ecp_point *Q, mbedtls_ecp_restart_ctx *rs_ctx)
This function performs multiplication and addition of two points by integers: R = m * P + n * Q in a ...
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
The ECP key-pair structure.
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx)
Initialize a restart context.
int mbedtls_ecp_copy(mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function copies the contents of point Q into point P.
const mbedtls_ecp_group_id * mbedtls_ecp_grp_id_list(void)
This function retrieves the list of internal group identifiers of all supported curves in the order o...
#define MBEDTLS_PRIVATE(member)
int mbedtls_ecp_group_copy(mbedtls_ecp_group *dst, const mbedtls_ecp_group *src)
This function copies the contents of group src into group dst.
struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx
Internal restart context for multiplication.
int mbedtls_ecp_gen_keypair(mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
This function generates an ECP keypair.
void mbedtls_ecp_point_free(mbedtls_ecp_point *pt)
This function frees the components of a point.
int mbedtls_ecp_gen_privkey(const mbedtls_ecp_group *grp, mbedtls_mpi *d, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
This function generates a private key.
void mbedtls_ecp_keypair_init(mbedtls_ecp_keypair *key)
This function initializes a key pair as an invalid one.
Multi-precision integer library.
int mbedtls_ecp_gen_key(mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
This function generates an ECP key.
int mbedtls_ecp_check_privkey(const mbedtls_ecp_group *grp, const mbedtls_mpi *d)
This function checks that an mbedtls_mpi is a valid private key for this curve.
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_grp_id(mbedtls_ecp_group_id grp_id)
This function retrieves curve information from an internal group identifier.
int mbedtls_ecp_restart_is_enabled(void)
Check if restart is enabled (max_ops != 0)
int mbedtls_ecp_tls_write_group(const mbedtls_ecp_group *grp, size_t *olen, unsigned char *buf, size_t blen)
This function exports an elliptic curve as a TLS ECParameters record as defined in RFC 4492...
struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx
Internal restart context for ecp_muladd()
void mbedtls_ecp_group_free(mbedtls_ecp_group *grp)
This function frees the components of an ECP group.
int mbedtls_ecp_mul(mbedtls_ecp_group *grp, mbedtls_ecp_point *R, const mbedtls_mpi *m, const mbedtls_ecp_point *P, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
This function performs a scalar multiplication of a point by an integer: R = m * P.
int mbedtls_ecp_check_pubkey(const mbedtls_ecp_group *grp, const mbedtls_ecp_point *pt)
This function checks that a point is a valid public key on this curve.
int mbedtls_ecp_write_key(mbedtls_ecp_keypair *key, unsigned char *buf, size_t buflen)
This function exports an elliptic curve private key.
void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key)
This function frees the components of a key pair.
Macro wrapper for struct's memebrs.
struct mbedtls_ecp_keypair mbedtls_ecp_keypair
The ECP key-pair structure.
int mbedtls_ecp_tls_read_group(mbedtls_ecp_group *grp, const unsigned char **buf, size_t len)
This function sets up an ECP group context from a TLS ECParameters record as defined in RFC 4492...
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
int mbedtls_ecp_point_read_string(mbedtls_ecp_point *P, int radix, const char *x, const char *y)
This function imports a non-zero point from two ASCII strings.
int mbedtls_ecp_self_test(int verbose)
The ECP checkup routine.
int mbedtls_ecp_check_pub_priv(const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
This function checks that the keypair objects pub and prv have the same group and the same public poi...
int mbedtls_ecp_point_write_binary(const mbedtls_ecp_group *grp, const mbedtls_ecp_point *P, int format, size_t *olen, unsigned char *buf, size_t buflen)
This function exports a point into unsigned binary data.
Build-time configuration info.
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_tls_id(uint16_t tls_id)
This function retrieves curve information from a TLS NamedCurve value.
int mbedtls_ecp_tls_read_point(const mbedtls_ecp_group *grp, mbedtls_ecp_point *pt, const unsigned char **buf, size_t len)
This function imports a point from a TLS ECPoint record.
mbedtls_ecp_group_id grp_id
int mbedtls_ecp_tls_read_group_id(mbedtls_ecp_group_id *grp, const unsigned char **buf, size_t len)
This function extracts an elliptic curve group ID from a TLS ECParameters record as defined in RFC 44...
int mbedtls_ecp_gen_keypair_base(mbedtls_ecp_group *grp, const mbedtls_ecp_point *G, mbedtls_mpi *d, mbedtls_ecp_point *Q, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
This function generates a keypair with a configurable base point.
int mbedtls_ecp_point_cmp(const mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function compares two points.
int mbedtls_ecp_tls_write_point(const mbedtls_ecp_group *grp, const mbedtls_ecp_point *pt, int format, size_t *olen, unsigned char *buf, size_t blen)
This function exports a point as a TLS ECPoint record defined in RFC 4492, Section 5...
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
General context for resuming ECC operations.
The ECP point structure, in Jacobian coordinates.
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_name(const char *name)
This function retrieves curve information from a human-readable name.
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_list(void)
This function retrieves the information defined in mbedtls_ecp_curve_info() for all supported curves...
int mbedtls_ecp_read_key(mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key, const unsigned char *buf, size_t buflen)
This function reads an elliptic curve private key.
void mbedtls_ecp_set_max_ops(unsigned max_ops)
Set the maximum number of basic operations done in a row.
int mbedtls_ecp_group_load(mbedtls_ecp_group *grp, mbedtls_ecp_group_id id)
This function sets up an ECP group context from a standardized set of domain parameters.
void mbedtls_ecp_group_init(mbedtls_ecp_group *grp)
This function initializes an ECP group context without loading any domain parameters.