37 #if !defined(MBEDTLS_CONFIG_FILE)
40 #include MBEDTLS_CONFIG_FILE
49 #define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
51 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
53 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
55 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
57 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
59 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
61 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
63 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
67 #define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
70 #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
74 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
75 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
76 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
77 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
78 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
79 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
80 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
81 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
82 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
83 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
84 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
85 #define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
87 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
88 defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
89 #define MBEDTLS_ECP_MONTGOMERY_ENABLED
143 #define MBEDTLS_ECP_DP_MAX 12
186 #if !defined(MBEDTLS_ECP_C)
187 #define MBEDTLS_ECP_MAX_BITS_MIN 0
189 #elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
190 #define MBEDTLS_ECP_MAX_BITS_MIN 521
191 #elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
192 #define MBEDTLS_ECP_MAX_BITS_MIN 512
193 #elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
194 #define MBEDTLS_ECP_MAX_BITS_MIN 448
195 #elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
196 #define MBEDTLS_ECP_MAX_BITS_MIN 384
197 #elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
198 #define MBEDTLS_ECP_MAX_BITS_MIN 384
199 #elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
200 #define MBEDTLS_ECP_MAX_BITS_MIN 256
201 #elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
202 #define MBEDTLS_ECP_MAX_BITS_MIN 256
203 #elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
204 #define MBEDTLS_ECP_MAX_BITS_MIN 256
205 #elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
206 #define MBEDTLS_ECP_MAX_BITS_MIN 255
207 #elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
208 #define MBEDTLS_ECP_MAX_BITS_MIN 225
209 #elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
210 #define MBEDTLS_ECP_MAX_BITS_MIN 224
211 #elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
212 #define MBEDTLS_ECP_MAX_BITS_MIN 192
213 #elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
214 #define MBEDTLS_ECP_MAX_BITS_MIN 192
216 #error "MBEDTLS_ECP_C enabled, but no curve?"
219 #if !defined(MBEDTLS_ECP_ALT)
293 #if defined(MBEDTLS_ECP_MAX_BITS)
295 #if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
296 #error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
299 #elif defined(MBEDTLS_ECP_C)
303 #define MBEDTLS_ECP_MAX_BITS MBEDTLS_ECP_MAX_BITS_MIN
309 #define MBEDTLS_ECP_MAX_BITS 1
312 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
313 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
315 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
336 #define MBEDTLS_ECP_WINDOW_SIZE 4
339 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
351 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
360 #if defined(MBEDTLS_ECP_RESTARTABLE)
367 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
374 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
383 mbedtls_ecp_restart_mul_ctx *rsm;
384 mbedtls_ecp_restart_muladd_ctx *ma;
390 #define MBEDTLS_ECP_OPS_CHK 3
391 #define MBEDTLS_ECP_OPS_DBL 8
392 #define MBEDTLS_ECP_OPS_ADD 11
393 #define MBEDTLS_ECP_OPS_INV 120
411 #define MBEDTLS_ECP_BUDGET( ops ) \
412 MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
413 (unsigned) (ops) ) );
417 #define MBEDTLS_ECP_BUDGET( ops )
443 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
444 #define MBEDTLS_ECP_PF_COMPRESSED 1
449 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
451 #if defined(MBEDTLS_ECP_RESTARTABLE)
509 void mbedtls_ecp_set_max_ops(
unsigned max_ops );
517 int mbedtls_ecp_restart_is_enabled(
void );
638 #if defined(MBEDTLS_ECP_RESTARTABLE)
734 const char *x,
const char *y );
763 int format,
size_t *olen,
764 unsigned char *buf,
size_t buflen );
790 const unsigned char *buf,
size_t ilen );
812 const unsigned char **buf,
size_t len );
838 int format,
size_t *olen,
839 unsigned char *buf,
size_t blen );
878 const unsigned char **buf,
size_t len );
899 const unsigned char **buf,
921 unsigned char *buf,
size_t blen );
961 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng );
995 int (*f_rng)(
void *,
unsigned char *,
size_t),
void *p_rng,
998 #if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1154 int (*f_rng)(
void *,
unsigned char *,
size_t),
1187 int (*f_rng)(
void *,
unsigned char *,
size_t),
1215 int (*f_rng)(
void *,
unsigned char *,
size_t),
1232 int (*f_rng)(
void *,
unsigned char *,
size_t),
1254 const unsigned char *buf,
size_t buflen );
1273 unsigned char *buf,
size_t buflen );
1295 #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
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.
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_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_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_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.
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_name(const char *name)
This function retrieves curve information from a human-readable name.
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_tls_id(uint16_t tls_id)
This function retrieves curve information from a TLS NamedCurve value.
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,...
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.
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.
@ 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.
int mbedtls_ecp_self_test(int verbose)
The ECP checkup routine.
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.