35#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
37#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
39#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
41#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
43#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
45#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
47#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
49#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
51#define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
55#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
56 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
57 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
58 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
59 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
60 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
61 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
62 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
63 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
64 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
65 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
66#define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
68#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
69 defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
70#define MBEDTLS_ECP_MONTGOMERY_ENABLED
122#define MBEDTLS_ECP_DP_MAX 14
165#if !defined(MBEDTLS_ECP_ALT)
270#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
291#define MBEDTLS_ECP_WINDOW_SIZE 4
294#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
307#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
319#if !defined(MBEDTLS_ECP_LIGHT)
322#define MBEDTLS_ECP_MAX_BITS 1
324#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
325#define MBEDTLS_ECP_MAX_BITS 521
326#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
327#define MBEDTLS_ECP_MAX_BITS 512
328#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
329#define MBEDTLS_ECP_MAX_BITS 448
330#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
331#define MBEDTLS_ECP_MAX_BITS 384
332#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
333#define MBEDTLS_ECP_MAX_BITS 384
334#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
335#define MBEDTLS_ECP_MAX_BITS 256
336#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
337#define MBEDTLS_ECP_MAX_BITS 256
338#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
339#define MBEDTLS_ECP_MAX_BITS 256
340#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
341#define MBEDTLS_ECP_MAX_BITS 255
342#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
343#define MBEDTLS_ECP_MAX_BITS 225
344#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
345#define MBEDTLS_ECP_MAX_BITS 224
346#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
347#define MBEDTLS_ECP_MAX_BITS 192
348#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
349#define MBEDTLS_ECP_MAX_BITS 192
351#error "Missing definition of MBEDTLS_ECP_MAX_BITS"
354#define MBEDTLS_ECP_MAX_BYTES ((MBEDTLS_ECP_MAX_BITS + 7) / 8)
355#define MBEDTLS_ECP_MAX_PT_LEN (2 * MBEDTLS_ECP_MAX_BYTES + 1)
357#if defined(MBEDTLS_ECP_RESTARTABLE)
364typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
371typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
386#define MBEDTLS_ECP_OPS_CHK 3
387#define MBEDTLS_ECP_OPS_DBL 8
388#define MBEDTLS_ECP_OPS_ADD 11
389#define MBEDTLS_ECP_OPS_INV 120
407#define MBEDTLS_ECP_BUDGET(ops) \
408 MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \
413#define MBEDTLS_ECP_BUDGET(ops)
439#define MBEDTLS_ECP_PF_UNCOMPRESSED 0
450#define MBEDTLS_ECP_PF_COMPRESSED 1
455#define MBEDTLS_ECP_TLS_NAMED_CURVE 3
457#if defined(MBEDTLS_ECP_RESTARTABLE)
521void mbedtls_ecp_set_max_ops(
unsigned max_ops);
529int mbedtls_ecp_restart_is_enabled(
void);
650#if defined(MBEDTLS_ECP_RESTARTABLE)
746 const char *x,
const char *y);
775 int format,
size_t *olen,
776 unsigned char *buf,
size_t buflen);
805 const unsigned char *buf,
size_t ilen);
827 const unsigned char **buf,
size_t len);
853 int format,
size_t *olen,
854 unsigned char *buf,
size_t blen);
893 const unsigned char **buf,
size_t len);
914 const unsigned char **buf,
936 unsigned char *buf,
size_t blen);
969 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng);
1003 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng,
1006#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1024 return grp->
A.MBEDTLS_PRIVATE(p) == NULL;
1182 int (*f_rng)(
void *,
unsigned char *,
size_t),
1215 int (*f_rng)(
void *,
unsigned char *,
size_t),
1243 int (*f_rng)(
void *,
unsigned char *,
size_t),
1260 int (*f_rng)(
void *,
unsigned char *,
size_t),
1329 const unsigned char *buf,
size_t buflen);
1331#if !defined(MBEDTLS_DEPRECATED_REMOVED)
1377 unsigned char *buf,
size_t buflen);
1400 size_t *olen,
unsigned char *buf,
size_t buflen);
1429 int format,
size_t *olen,
1430 unsigned char *buf,
size_t buflen);
1454 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng);
1471 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng);
1512#if defined(MBEDTLS_SELF_TEST)
Multi-precision integer library.
void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key)
This function frees the components of a key pair.
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.
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_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_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is the point at infinity.
int mbedtls_ecp_write_public_key(const mbedtls_ecp_keypair *key, int format, size_t *olen, unsigned char *buf, size_t buflen)
This function exports an elliptic curve public key.
mbedtls_ecp_group_id mbedtls_ecp_keypair_get_group_id(const mbedtls_ecp_keypair *key)
Query the group that a key pair belongs to.
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,...
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.
mbedtls_ecp_curve_type mbedtls_ecp_get_type(const mbedtls_ecp_group *grp)
void mbedtls_ecp_restart_ctx
int mbedtls_ecp_export(const mbedtls_ecp_keypair *key, mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q)
This function exports generic key-pair parameters.
int mbedtls_ecp_keypair_calc_public(mbedtls_ecp_keypair *key, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Calculate the public key from a private key in a key pair.
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.
@ MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
@ MBEDTLS_ECP_TYPE_MONTGOMERY
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...
void mbedtls_ecp_group_init(mbedtls_ecp_group *grp)
This function initializes an ECP group context without loading any domain parameters.
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.
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
int MBEDTLS_DEPRECATED mbedtls_ecp_write_key(mbedtls_ecp_keypair *key, unsigned char *buf, size_t buflen)
This function exports an elliptic curve private key.
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.
int mbedtls_ecp_point_cmp(const mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function compares two points.
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.
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_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_keypair_init(mbedtls_ecp_keypair *key)
This function initializes a key pair as an invalid one.
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...
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_name(const char *name)
This function retrieves curve information from a human-readable name.
void mbedtls_ecp_point_free(mbedtls_ecp_point *pt)
This function frees the components of a point.
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.
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_group_free(mbedtls_ecp_group *grp)
This function frees the components of an ECP group.
int mbedtls_ecp_copy(mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function copies the contents of point Q into point P.
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 ...
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.
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.
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_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....
int mbedtls_ecp_write_key_ext(const mbedtls_ecp_keypair *key, size_t *olen, unsigned char *buf, size_t buflen)
This function exports an elliptic curve private key.
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_set_public_key(mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key, const mbedtls_ecp_point *Q)
Set the public key in a key pair object.
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
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,...
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.
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
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.
@ MBEDTLS_ECP_DP_SECP192K1
@ MBEDTLS_ECP_DP_SECP384R1
@ MBEDTLS_ECP_DP_CURVE448
@ MBEDTLS_ECP_DP_CURVE25519
@ MBEDTLS_ECP_DP_SECP256K1
@ MBEDTLS_ECP_DP_SECP224R1
@ MBEDTLS_ECP_DP_SECP521R1
@ MBEDTLS_ECP_DP_SECP224K1
@ MBEDTLS_ECP_DP_SECP192R1
@ MBEDTLS_ECP_DP_SECP256R1
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.
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_self_test(int verbose)
The ECP checkup routine.
static int mbedtls_ecp_group_a_is_minus_3(const mbedtls_ecp_group *grp)
This function checks if domain parameter A of the curve is -3.
Build-time configuration info.
Macro wrapper for struct's members.
#define MBEDTLS_PRIVATE(member)
mbedtls_ecp_group_id grp_id
The ECP key-pair structure.
The ECP point structure, in Jacobian coordinates.