25#if !defined(MBEDTLS_CONFIG_FILE)
28#include MBEDTLS_CONFIG_FILE
33#if (defined(__ARMCC_VERSION) || defined(_MSC_VER)) && \
34 !defined(inline) && !defined(__cplusplus)
35#define inline __inline
42#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
44#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
46#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
48#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
50#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
52#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
54#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
56#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
60#define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
63#define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
67#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
68 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
69 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
70 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
71 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
72 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
73 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
74 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
75 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
76 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
77 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
78#define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
80#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
81 defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
82#define MBEDTLS_ECP_MONTGOMERY_ENABLED
135#define MBEDTLS_ECP_DP_MAX 12
175#if !defined(MBEDTLS_ECP_C)
176#define MBEDTLS_ECP_MAX_BITS_MIN 0
178#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
179#define MBEDTLS_ECP_MAX_BITS_MIN 521
180#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
181#define MBEDTLS_ECP_MAX_BITS_MIN 512
182#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
183#define MBEDTLS_ECP_MAX_BITS_MIN 448
184#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
185#define MBEDTLS_ECP_MAX_BITS_MIN 384
186#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
187#define MBEDTLS_ECP_MAX_BITS_MIN 384
188#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
189#define MBEDTLS_ECP_MAX_BITS_MIN 256
190#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
191#define MBEDTLS_ECP_MAX_BITS_MIN 256
192#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
193#define MBEDTLS_ECP_MAX_BITS_MIN 256
194#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
195#define MBEDTLS_ECP_MAX_BITS_MIN 255
196#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
197#define MBEDTLS_ECP_MAX_BITS_MIN 225
198#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
199#define MBEDTLS_ECP_MAX_BITS_MIN 224
200#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
201#define MBEDTLS_ECP_MAX_BITS_MIN 192
202#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
203#define MBEDTLS_ECP_MAX_BITS_MIN 192
205#error "MBEDTLS_ECP_C enabled, but no curve?"
208#if !defined(MBEDTLS_ECP_ALT)
305#if defined(MBEDTLS_ECP_MAX_BITS)
307#if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
308#error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
311#elif defined(MBEDTLS_ECP_C)
315#define MBEDTLS_ECP_MAX_BITS MBEDTLS_ECP_MAX_BITS_MIN
321#define MBEDTLS_ECP_MAX_BITS 1
324#define MBEDTLS_ECP_MAX_BYTES ((MBEDTLS_ECP_MAX_BITS + 7) / 8)
325#define MBEDTLS_ECP_MAX_PT_LEN (2 * MBEDTLS_ECP_MAX_BYTES + 1)
327#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
348#define MBEDTLS_ECP_WINDOW_SIZE 4
351#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
363#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
372#if defined(MBEDTLS_ECP_RESTARTABLE)
379typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
386typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
394 mbedtls_ecp_restart_mul_ctx *rsm;
395 mbedtls_ecp_restart_muladd_ctx *ma;
401#define MBEDTLS_ECP_OPS_CHK 3
402#define MBEDTLS_ECP_OPS_DBL 8
403#define MBEDTLS_ECP_OPS_ADD 11
404#define MBEDTLS_ECP_OPS_INV 120
422#define MBEDTLS_ECP_BUDGET(ops) \
423 MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \
428#define MBEDTLS_ECP_BUDGET(ops)
453#define MBEDTLS_ECP_PF_UNCOMPRESSED 0
454#define MBEDTLS_ECP_PF_COMPRESSED 1
459#define MBEDTLS_ECP_TLS_NAMED_CURVE 3
461#if defined(MBEDTLS_ECP_RESTARTABLE)
519void mbedtls_ecp_set_max_ops(
unsigned max_ops);
527int mbedtls_ecp_restart_is_enabled(
void);
648#if defined(MBEDTLS_ECP_RESTARTABLE)
744 const char *x,
const char *y);
773 int format,
size_t *olen,
774 unsigned char *buf,
size_t buflen);
800 const unsigned char *buf,
size_t ilen);
822 const unsigned char **buf,
size_t len);
848 int format,
size_t *olen,
849 unsigned char *buf,
size_t blen);
888 const unsigned char **buf,
size_t len);
909 const unsigned char **buf,
931 unsigned char *buf,
size_t blen);
971 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng);
1005 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng,
1008#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1026 return grp->
A.
p == NULL;
1184 int (*f_rng)(
void *,
unsigned char *,
size_t),
1217 int (*f_rng)(
void *,
unsigned char *,
size_t),
1245 int (*f_rng)(
void *,
unsigned char *,
size_t),
1262 int (*f_rng)(
void *,
unsigned char *,
size_t),
1286 const unsigned char *buf,
size_t buflen);
1331 unsigned char *buf,
size_t buflen);
1353#if defined(MBEDTLS_SELF_TEST)
Multi-precision integer library.
Configuration options (set of defines)
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_key(mbedtls_ecp_keypair *key, unsigned char *buf, size_t buflen)
This function exports an elliptic curve private key.
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_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_ecp_check_pub_priv(const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv)
This function checks that the keypair objects pub and prv have the same group and the same public poi...
struct mbedtls_ecp_keypair mbedtls_ecp_keypair
The ECP key-pair structure.
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_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....
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_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
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.
mbedtls_ecp_group_id grp_id
int(* t_pre)(mbedtls_ecp_point *, void *)
int(* t_post)(mbedtls_ecp_point *, void *)
int(* modp)(mbedtls_mpi *)
The ECP key-pair structure.
The ECP point structure, in Jacobian coordinates.