ecp.h
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/*
* Copyright The Mbed TLS Contributors
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef MBEDTLS_ECP_H
#define MBEDTLS_ECP_H
#if !defined(MBEDTLS_CONFIG_FILE)
#include "mbedtls/config.h"
#else
#include MBEDTLS_CONFIG_FILE
#endif
#include "mbedtls/bignum.h"
/*
* ECP error codes
*/
#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
/* MBEDTLS_ERR_ECP_HW_ACCEL_FAILED is deprecated and should not be used. */
#define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
#define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
/* Flags indicating whether to include code that is specific to certain
* types of curves. These flags are for internal library use only. */
#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
#define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
#endif
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
#define MBEDTLS_ECP_MONTGOMERY_ENABLED
#endif
#ifdef __cplusplus
extern "C" {
#endif
/* Note: when adding a new curve:
* - Add it at the end of this enum, otherwise you'll break the ABI by
* changing the numerical value for existing curves.
* - Increment MBEDTLS_ECP_DP_MAX below if needed.
* - Update the calculation of MBEDTLS_ECP_MAX_BITS_MIN below.
* - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to
* config.h.
* - List the curve as a dependency of MBEDTLS_ECP_C and
* MBEDTLS_ECDSA_C if supported in check_config.h.
* - Add the curve to the appropriate curve type macro
* MBEDTLS_ECP_yyy_ENABLED above.
* - Add the necessary definitions to ecp_curves.c.
* - Add the curve to the ecp_supported_curves array in ecp.c.
* - Add the curve to applicable profiles in x509_crt.c if applicable.
*/
typedef enum
{
MBEDTLS_ECP_DP_NONE = 0,
MBEDTLS_ECP_DP_SECP192R1,
MBEDTLS_ECP_DP_SECP224R1,
MBEDTLS_ECP_DP_SECP256R1,
MBEDTLS_ECP_DP_SECP384R1,
MBEDTLS_ECP_DP_SECP521R1,
MBEDTLS_ECP_DP_BP256R1,
MBEDTLS_ECP_DP_BP384R1,
MBEDTLS_ECP_DP_BP512R1,
MBEDTLS_ECP_DP_CURVE25519,
MBEDTLS_ECP_DP_SECP192K1,
MBEDTLS_ECP_DP_SECP224K1,
MBEDTLS_ECP_DP_SECP256K1,
MBEDTLS_ECP_DP_CURVE448,
} mbedtls_ecp_group_id;
#define MBEDTLS_ECP_DP_MAX 12
/*
* Curve types
*/
typedef enum
{
MBEDTLS_ECP_TYPE_NONE = 0,
MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
} mbedtls_ecp_curve_type;
typedef struct mbedtls_ecp_curve_info
{
mbedtls_ecp_group_id grp_id;
uint16_t tls_id;
uint16_t bit_size;
const char *name;
} mbedtls_ecp_curve_info;
typedef struct mbedtls_ecp_point
{
mbedtls_mpi X;
mbedtls_mpi Y;
mbedtls_mpi Z;
}
mbedtls_ecp_point;
/* Determine the minimum safe value of MBEDTLS_ECP_MAX_BITS. */
#if !defined(MBEDTLS_ECP_C)
#define MBEDTLS_ECP_MAX_BITS_MIN 0
/* Note: the curves must be listed in DECREASING size! */
#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 521
#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 512
#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 448
#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 384
#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 384
#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 256
#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 256
#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 256
#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 255
#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 225 // n is slightly above 2^224
#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 224
#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 192
#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
#define MBEDTLS_ECP_MAX_BITS_MIN 192
#else
#error "MBEDTLS_ECP_C enabled, but no curve?"
#endif
#if !defined(MBEDTLS_ECP_ALT)
/*
* default mbed TLS elliptic curve arithmetic implementation
*
* (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
* alternative implementation for the whole module and it will replace this
* one.)
*/
typedef struct mbedtls_ecp_group
{
mbedtls_ecp_group_id id;
mbedtls_mpi P;
mbedtls_mpi A;
mbedtls_mpi B;
mbedtls_ecp_point G;
mbedtls_mpi N;
size_t pbits;
size_t nbits;
unsigned int h;
int (*modp)(mbedtls_mpi *);
int (*t_pre)(mbedtls_ecp_point *, void *);
int (*t_post)(mbedtls_ecp_point *, void *);
void *t_data;
mbedtls_ecp_point *T;
size_t T_size;
}
mbedtls_ecp_group;
#if defined(MBEDTLS_ECP_MAX_BITS)
#if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
#error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
#endif
#elif defined(MBEDTLS_ECP_C)
#define MBEDTLS_ECP_MAX_BITS MBEDTLS_ECP_MAX_BITS_MIN
#else
/* MBEDTLS_ECP_MAX_BITS is not relevant without MBEDTLS_ECP_C, but set it
* to a nonzero value so that code that unconditionally allocates an array
* of a size based on it keeps working if built without ECC support. */
#define MBEDTLS_ECP_MAX_BITS 1
#endif
#define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
#define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
/*
* Maximum "window" size used for point multiplication.
* Default: a point where higher memory usage yields disminishing performance
* returns.
* Minimum value: 2. Maximum value: 7.
*
* Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
* points used for point multiplication. This value is directly tied to EC
* peak memory usage, so decreasing it by one should roughly cut memory usage
* by two (if large curves are in use).
*
* Reduction in size may reduce speed, but larger curves are impacted first.
* Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
* w-size: 6 5 4 3 2
* 521 145 141 135 120 97
* 384 214 209 198 177 146
* 256 320 320 303 262 226
* 224 475 475 453 398 342
* 192 640 640 633 587 476
*/
#define MBEDTLS_ECP_WINDOW_SIZE 4
#endif /* MBEDTLS_ECP_WINDOW_SIZE */
#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
/*
* Trade memory for speed on fixed-point multiplication.
*
* This speeds up repeated multiplication of the generator (that is, the
* multiplication in ECDSA signatures, and half of the multiplications in
* ECDSA verification and ECDHE) by a factor roughly 3 to 4.
*
* The cost is increasing EC peak memory usage by a factor roughly 2.
*
* Change this value to 0 to reduce peak memory usage.
*/
#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
#endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
/* \} name SECTION: Module settings */
#else /* MBEDTLS_ECP_ALT */
#include "ecp_alt.h"
#endif /* MBEDTLS_ECP_ALT */
#if defined(MBEDTLS_ECP_RESTARTABLE)
typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
typedef struct
{
unsigned ops_done;
unsigned depth;
mbedtls_ecp_restart_mul_ctx *rsm;
mbedtls_ecp_restart_muladd_ctx *ma;
} mbedtls_ecp_restart_ctx;
/*
* Operation counts for restartable functions
*/
#define MBEDTLS_ECP_OPS_CHK 3
#define MBEDTLS_ECP_OPS_DBL 8
#define MBEDTLS_ECP_OPS_ADD 11
#define MBEDTLS_ECP_OPS_INV 120
int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
mbedtls_ecp_restart_ctx *rs_ctx,
unsigned ops );
/* Utility macro for checking and updating ops budget */
#define MBEDTLS_ECP_BUDGET( ops ) \
MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
(unsigned) (ops) ) );
#else /* MBEDTLS_ECP_RESTARTABLE */
#define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
/* We want to declare restartable versions of existing functions anyway */
typedef void mbedtls_ecp_restart_ctx;
#endif /* MBEDTLS_ECP_RESTARTABLE */
typedef struct mbedtls_ecp_keypair
{
mbedtls_ecp_group grp;
mbedtls_mpi d;
mbedtls_ecp_point Q;
}
mbedtls_ecp_keypair;
/*
* Point formats, from RFC 4492's enum ECPointFormat
*/
#define MBEDTLS_ECP_PF_UNCOMPRESSED 0
#define MBEDTLS_ECP_PF_COMPRESSED 1
/*
* Some other constants from RFC 4492
*/
#define MBEDTLS_ECP_TLS_NAMED_CURVE 3
#if defined(MBEDTLS_ECP_RESTARTABLE)
void mbedtls_ecp_set_max_ops( unsigned max_ops );
int mbedtls_ecp_restart_is_enabled( void );
#endif /* MBEDTLS_ECP_RESTARTABLE */
/*
* Get the type of a curve
*/
mbedtls_ecp_curve_type mbedtls_ecp_get_type( const mbedtls_ecp_group *grp );
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_list( void );
const mbedtls_ecp_group_id *mbedtls_ecp_grp_id_list( void );
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_grp_id( mbedtls_ecp_group_id grp_id );
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_tls_id( uint16_t tls_id );
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_name( const char *name );
void mbedtls_ecp_point_init( mbedtls_ecp_point *pt );
void mbedtls_ecp_group_init( mbedtls_ecp_group *grp );
void mbedtls_ecp_keypair_init( mbedtls_ecp_keypair *key );
void mbedtls_ecp_point_free( mbedtls_ecp_point *pt );
void mbedtls_ecp_group_free( mbedtls_ecp_group *grp );
void mbedtls_ecp_keypair_free( mbedtls_ecp_keypair *key );
#if defined(MBEDTLS_ECP_RESTARTABLE)
void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
#endif /* MBEDTLS_ECP_RESTARTABLE */
int mbedtls_ecp_copy( mbedtls_ecp_point *P, const mbedtls_ecp_point *Q );
int mbedtls_ecp_group_copy( mbedtls_ecp_group *dst,
const mbedtls_ecp_group *src );
int mbedtls_ecp_set_zero( mbedtls_ecp_point *pt );
int mbedtls_ecp_is_zero( mbedtls_ecp_point *pt );
int mbedtls_ecp_point_cmp( const mbedtls_ecp_point *P,
const mbedtls_ecp_point *Q );
int mbedtls_ecp_point_read_string( mbedtls_ecp_point *P, int radix,
const char *x, const char *y );
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 );
int mbedtls_ecp_point_read_binary( const mbedtls_ecp_group *grp,
mbedtls_ecp_point *P,
const unsigned char *buf, size_t ilen );
int mbedtls_ecp_tls_read_point( const mbedtls_ecp_group *grp,
mbedtls_ecp_point *pt,
const unsigned char **buf, size_t len );
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 );
int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id );
int mbedtls_ecp_tls_read_group( mbedtls_ecp_group *grp,
const unsigned char **buf, size_t len );
int mbedtls_ecp_tls_read_group_id( mbedtls_ecp_group_id *grp,
const unsigned char **buf,
size_t len );
int mbedtls_ecp_tls_write_group( const mbedtls_ecp_group *grp,
size_t *olen,
unsigned char *buf, size_t blen );
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 );
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 );
#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
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 );
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 );
#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
int mbedtls_ecp_check_pubkey( const mbedtls_ecp_group *grp,
const mbedtls_ecp_point *pt );
int mbedtls_ecp_check_privkey( const mbedtls_ecp_group *grp,
const mbedtls_mpi *d );
int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
mbedtls_mpi *d,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng );
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 );
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 );
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 );
int mbedtls_ecp_read_key( mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key,
const unsigned char *buf, size_t buflen );
int mbedtls_ecp_write_key( mbedtls_ecp_keypair *key,
unsigned char *buf, size_t buflen );
int mbedtls_ecp_check_pub_priv( const mbedtls_ecp_keypair *pub,
const mbedtls_ecp_keypair *prv );
#if defined(MBEDTLS_SELF_TEST)
int mbedtls_ecp_self_test( int verbose );
#endif /* MBEDTLS_SELF_TEST */
#ifdef __cplusplus
}
#endif
#endif /* ecp.h */
bignum.h
Multi-precision integer library.
config.h
Configuration options (set of defines)
mbedtls_ecp_keypair_free
void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key)
This function frees the components of a key pair.
mbedtls_ecp_point_read_binary
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_muladd
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.
mbedtls_ecp_gen_key
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.
mbedtls_ecp_is_zero
int mbedtls_ecp_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is the point at infinity.
mbedtls_ecp_write_key
int mbedtls_ecp_write_key(mbedtls_ecp_keypair *key, unsigned char *buf, size_t buflen)
This function exports an elliptic curve private key.
mbedtls_ecp_tls_write_group
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,...
mbedtls_ecp_group_copy
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_get_type
mbedtls_ecp_curve_type mbedtls_ecp_get_type(const mbedtls_ecp_group *grp)
mbedtls_ecp_restart_ctx
void mbedtls_ecp_restart_ctx
Definition: ecp.h:420
mbedtls_ecp_mul
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_curve_type
mbedtls_ecp_curve_type
Definition: ecp.h:149
MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
@ MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
Definition: ecp.h:151
MBEDTLS_ECP_TYPE_NONE
@ MBEDTLS_ECP_TYPE_NONE
Definition: ecp.h:150
MBEDTLS_ECP_TYPE_MONTGOMERY
@ MBEDTLS_ECP_TYPE_MONTGOMERY
Definition: ecp.h:152
mbedtls_ecp_group_init
void mbedtls_ecp_group_init(mbedtls_ecp_group *grp)
This function initializes an ECP group context without loading any domain parameters.
mbedtls_ecp_gen_keypair_base
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.
mbedtls_ecp_group
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
mbedtls_ecp_check_pub_priv
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...
mbedtls_ecp_keypair
struct mbedtls_ecp_keypair mbedtls_ecp_keypair
The ECP key-pair structure.
mbedtls_ecp_mul_restartable
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.
mbedtls_ecp_point_cmp
int mbedtls_ecp_point_cmp(const mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function compares two points.
mbedtls_ecp_check_privkey
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.
mbedtls_ecp_curve_info_from_grp_id
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.
mbedtls_ecp_point_read_string
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.
mbedtls_ecp_group_load
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.
mbedtls_ecp_keypair_init
void mbedtls_ecp_keypair_init(mbedtls_ecp_keypair *key)
This function initializes a key pair as an invalid one.
mbedtls_ecp_tls_read_group_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...
mbedtls_ecp_grp_id_list
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...
mbedtls_ecp_point_free
void mbedtls_ecp_point_free(mbedtls_ecp_point *pt)
This function frees the components of a point.
mbedtls_ecp_tls_read_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.
mbedtls_ecp_curve_info_from_name
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_name(const char *name)
This function retrieves curve information from a human-readable name.
mbedtls_ecp_read_key
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.
mbedtls_ecp_group_free
void mbedtls_ecp_group_free(mbedtls_ecp_group *grp)
This function frees the components of an ECP group.
mbedtls_ecp_copy
int mbedtls_ecp_copy(mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function copies the contents of point Q into point P.
mbedtls_ecp_muladd_restartable
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 ...
mbedtls_ecp_gen_privkey
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.
mbedtls_ecp_gen_keypair
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.
mbedtls_ecp_tls_write_point
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....
mbedtls_ecp_curve_info_from_tls_id
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.
mbedtls_ecp_set_zero
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
mbedtls_ecp_curve_info
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
mbedtls_ecp_point
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
mbedtls_ecp_tls_read_group
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,...
mbedtls_ecp_point_init
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
mbedtls_ecp_check_pubkey
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_curve_list
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_group_id
mbedtls_ecp_group_id
Definition: ecp.h:121
MBEDTLS_ECP_DP_SECP192K1
@ MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:132
MBEDTLS_ECP_DP_SECP384R1
@ MBEDTLS_ECP_DP_SECP384R1
Definition: ecp.h:126
MBEDTLS_ECP_DP_CURVE448
@ MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:135
MBEDTLS_ECP_DP_CURVE25519
@ MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:131
MBEDTLS_ECP_DP_NONE
@ MBEDTLS_ECP_DP_NONE
Definition: ecp.h:122
MBEDTLS_ECP_DP_SECP256K1
@ MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:134
MBEDTLS_ECP_DP_BP512R1
@ MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:130
MBEDTLS_ECP_DP_SECP224R1
@ MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:124
MBEDTLS_ECP_DP_SECP521R1
@ MBEDTLS_ECP_DP_SECP521R1
Definition: ecp.h:127
MBEDTLS_ECP_DP_BP384R1
@ MBEDTLS_ECP_DP_BP384R1
Definition: ecp.h:129
MBEDTLS_ECP_DP_SECP224K1
@ MBEDTLS_ECP_DP_SECP224K1
Definition: ecp.h:133
MBEDTLS_ECP_DP_BP256R1
@ MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:128
MBEDTLS_ECP_DP_SECP192R1
@ MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:123
MBEDTLS_ECP_DP_SECP256R1
@ MBEDTLS_ECP_DP_SECP256R1
Definition: ecp.h:125
mbedtls_ecp_point_write_binary
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.
mbedtls_ecp_self_test
int mbedtls_ecp_self_test(int verbose)
The ECP checkup routine.
mbedtls_ecp_curve_info
Definition: ecp.h:159
mbedtls_ecp_curve_info::name
const char * name
Definition: ecp.h:163
mbedtls_ecp_curve_info::grp_id
mbedtls_ecp_group_id grp_id
Definition: ecp.h:160
mbedtls_ecp_curve_info::bit_size
uint16_t bit_size
Definition: ecp.h:162
mbedtls_ecp_curve_info::tls_id
uint16_t tls_id
Definition: ecp.h:161
mbedtls_ecp_group
The ECP group structure.
Definition: ecp.h:261
mbedtls_ecp_group::pbits
size_t pbits
Definition: ecp.h:270
mbedtls_ecp_group::t_pre
int(* t_pre)(mbedtls_ecp_point *, void *)
Definition: ecp.h:277
mbedtls_ecp_group::h
unsigned int h
Definition: ecp.h:274
mbedtls_ecp_group::id
mbedtls_ecp_group_id id
Definition: ecp.h:262
mbedtls_ecp_group::T_size
size_t T_size
Definition: ecp.h:281
mbedtls_ecp_group::T
mbedtls_ecp_point * T
Definition: ecp.h:280
mbedtls_ecp_group::N
mbedtls_mpi N
Definition: ecp.h:269
mbedtls_ecp_group::t_data
void * t_data
Definition: ecp.h:279
mbedtls_ecp_group::G
mbedtls_ecp_point G
Definition: ecp.h:268
mbedtls_ecp_group::t_post
int(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:278
mbedtls_ecp_group::B
mbedtls_mpi B
Definition: ecp.h:266
mbedtls_ecp_group::modp
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:275
mbedtls_ecp_group::P
mbedtls_mpi P
Definition: ecp.h:263
mbedtls_ecp_group::nbits
size_t nbits
Definition: ecp.h:271
mbedtls_ecp_group::A
mbedtls_mpi A
Definition: ecp.h:264
mbedtls_ecp_keypair
The ECP key-pair structure.
Definition: ecp.h:433
mbedtls_ecp_keypair::Q
mbedtls_ecp_point Q
Definition: ecp.h:436
mbedtls_ecp_keypair::d
mbedtls_mpi d
Definition: ecp.h:435
mbedtls_ecp_keypair::grp
mbedtls_ecp_group grp
Definition: ecp.h:434
mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:178
mbedtls_ecp_point::Z
mbedtls_mpi Z
Definition: ecp.h:181
mbedtls_ecp_point::X
mbedtls_mpi X
Definition: ecp.h:179
mbedtls_ecp_point::Y
mbedtls_mpi Y
Definition: ecp.h:180
mbedtls_mpi
MPI structure.
Definition: bignum.h:193