mbed TLS v2.23.0
ecp.h
Go to the documentation of this file.
1 
17 /*
18  * Copyright (C) 2006-2018, Arm Limited (or its affiliates), All Rights Reserved
19  * SPDX-License-Identifier: Apache-2.0
20  *
21  * Licensed under the Apache License, Version 2.0 (the "License"); you may
22  * not use this file except in compliance with the License.
23  * You may obtain a copy of the License at
24  *
25  * http://www.apache.org/licenses/LICENSE-2.0
26  *
27  * Unless required by applicable law or agreed to in writing, software
28  * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
29  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
30  * See the License for the specific language governing permissions and
31  * limitations under the License.
32  *
33  * This file is part of Mbed TLS (https://tls.mbed.org)
34  */
35 
36 #ifndef MBEDTLS_ECP_H
37 #define MBEDTLS_ECP_H
38 
39 #if !defined(MBEDTLS_CONFIG_FILE)
40 #include "mbedtls/config.h"
41 #else
42 #include MBEDTLS_CONFIG_FILE
43 #endif
44 
45 #include "mbedtls/bignum.h"
46 
47 /*
48  * ECP error codes
49  */
50 #define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
51 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
52 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
53 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
54 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
55 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
56 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
57 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
59 /* MBEDTLS_ERR_ECP_HW_ACCEL_FAILED is deprecated and should not be used. */
60 #define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
62 #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
64 #ifdef __cplusplus
65 extern "C" {
66 #endif
67 
77 typedef enum
78 {
94 
100 #define MBEDTLS_ECP_DP_MAX 12
101 
102 /*
103  * Curve types
104  */
105 typedef enum
106 {
108  MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
109  MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
111 
116 {
118  uint16_t tls_id;
119  uint16_t bit_size;
120  const char *name;
122 
134 typedef struct mbedtls_ecp_point
135 {
139 }
141 
142 #if !defined(MBEDTLS_ECP_ALT)
143 /*
144  * default mbed TLS elliptic curve arithmetic implementation
145  *
146  * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
147  * alternative implementation for the whole module and it will replace this
148  * one.)
149  */
150 
183 typedef struct mbedtls_ecp_group
184 {
193  size_t pbits;
194  size_t nbits;
197  unsigned int h;
198  int (*modp)(mbedtls_mpi *);
200  int (*t_pre)(mbedtls_ecp_point *, void *);
201  int (*t_post)(mbedtls_ecp_point *, void *);
202  void *t_data;
204  size_t T_size;
205 }
207 
216 #if !defined(MBEDTLS_ECP_MAX_BITS)
217 
220 #define MBEDTLS_ECP_MAX_BITS 521
221 #endif
222 
223 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
224 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
225 
226 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
227 /*
228  * Maximum "window" size used for point multiplication.
229  * Default: 6.
230  * Minimum value: 2. Maximum value: 7.
231  *
232  * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
233  * points used for point multiplication. This value is directly tied to EC
234  * peak memory usage, so decreasing it by one should roughly cut memory usage
235  * by two (if large curves are in use).
236  *
237  * Reduction in size may reduce speed, but larger curves are impacted first.
238  * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
239  * w-size: 6 5 4 3 2
240  * 521 145 141 135 120 97
241  * 384 214 209 198 177 146
242  * 256 320 320 303 262 226
243  * 224 475 475 453 398 342
244  * 192 640 640 633 587 476
245  */
246 #define MBEDTLS_ECP_WINDOW_SIZE 6
247 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
248 
249 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
250 /*
251  * Trade memory for speed on fixed-point multiplication.
252  *
253  * This speeds up repeated multiplication of the generator (that is, the
254  * multiplication in ECDSA signatures, and half of the multiplications in
255  * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
256  *
257  * The cost is increasing EC peak memory usage by a factor roughly 2.
258  *
259  * Change this value to 0 to reduce peak memory usage.
260  */
261 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
262 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
263 
264 /* \} name SECTION: Module settings */
265 
266 #else /* MBEDTLS_ECP_ALT */
267 #include "ecp_alt.h"
268 #endif /* MBEDTLS_ECP_ALT */
269 
270 #if defined(MBEDTLS_ECP_RESTARTABLE)
271 
277 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
278 
284 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
285 
289 typedef struct
290 {
291  unsigned ops_done;
292  unsigned depth;
293  mbedtls_ecp_restart_mul_ctx *rsm;
294  mbedtls_ecp_restart_muladd_ctx *ma;
296 
297 /*
298  * Operation counts for restartable functions
299  */
300 #define MBEDTLS_ECP_OPS_CHK 3
301 #define MBEDTLS_ECP_OPS_DBL 8
302 #define MBEDTLS_ECP_OPS_ADD 11
303 #define MBEDTLS_ECP_OPS_INV 120
316 int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
317  mbedtls_ecp_restart_ctx *rs_ctx,
318  unsigned ops );
319 
320 /* Utility macro for checking and updating ops budget */
321 #define MBEDTLS_ECP_BUDGET( ops ) \
322  MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
323  (unsigned) (ops) ) );
324 
325 #else /* MBEDTLS_ECP_RESTARTABLE */
326 
327 #define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
328 
329 /* We want to declare restartable versions of existing functions anyway */
331 
332 #endif /* MBEDTLS_ECP_RESTARTABLE */
333 
342 typedef struct mbedtls_ecp_keypair
343 {
347 }
349 
350 /*
351  * Point formats, from RFC 4492's enum ECPointFormat
352  */
353 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
354 #define MBEDTLS_ECP_PF_COMPRESSED 1
356 /*
357  * Some other constants from RFC 4492
358  */
359 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
361 #if defined(MBEDTLS_ECP_RESTARTABLE)
362 
419 void mbedtls_ecp_set_max_ops( unsigned max_ops );
420 
427 int mbedtls_ecp_restart_is_enabled( void );
428 #endif /* MBEDTLS_ECP_RESTARTABLE */
429 
430 /*
431  * Get the type of a curve
432  */
434 
449 
465 
476 
487 
498 
505 
516 
523 
530 
539 
548 
549 #if defined(MBEDTLS_ECP_RESTARTABLE)
550 
556 void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
557 
565 void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
566 #endif /* MBEDTLS_ECP_RESTARTABLE */
567 
580 
593  const mbedtls_ecp_group *src );
594 
605 
616 
630  const mbedtls_ecp_point *Q );
631 
645  const char *x, const char *y );
646 
673  const mbedtls_ecp_point *P,
674  int format, size_t *olen,
675  unsigned char *buf, size_t buflen );
676 
701  const unsigned char *buf, size_t ilen );
702 
722  mbedtls_ecp_point *pt,
723  const unsigned char **buf, size_t len );
724 
748  const mbedtls_ecp_point *pt,
749  int format, size_t *olen,
750  unsigned char *buf, size_t blen );
751 
770 
789  const unsigned char **buf, size_t len );
790 
810  const unsigned char **buf,
811  size_t len );
831  size_t *olen,
832  unsigned char *buf, size_t blen );
833 
871  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
872  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
873 
905  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
906  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
907  mbedtls_ecp_restart_ctx *rs_ctx );
908 
939  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
940  const mbedtls_mpi *n, const mbedtls_ecp_point *Q );
941 
978  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
979  const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
980  mbedtls_ecp_restart_ctx *rs_ctx );
981 
1010  const mbedtls_ecp_point *pt );
1011 
1032  const mbedtls_mpi *d );
1033 
1050  mbedtls_mpi *d,
1051  int (*f_rng)(void *, unsigned char *, size_t),
1052  void *p_rng );
1053 
1082  const mbedtls_ecp_point *G,
1084  int (*f_rng)(void *, unsigned char *, size_t),
1085  void *p_rng );
1086 
1111  mbedtls_ecp_point *Q,
1112  int (*f_rng)(void *, unsigned char *, size_t),
1113  void *p_rng );
1114 
1129  int (*f_rng)(void *, unsigned char *, size_t),
1130  void *p_rng );
1131 
1151  const unsigned char *buf, size_t buflen );
1170  const mbedtls_ecp_keypair *prv );
1171 
1172 #if defined(MBEDTLS_SELF_TEST)
1173 
1180 int mbedtls_ecp_self_test( int verbose );
1181 
1182 #endif /* MBEDTLS_SELF_TEST */
1183 
1184 #ifdef __cplusplus
1185 }
1186 #endif
1187 
1188 #endif /* ecp.h */
mbedtls_ecp_group_free
void mbedtls_ecp_group_free(mbedtls_ecp_group *grp)
This function frees the components of an ECP group.
mbedtls_ecp_group
The ECP group structure.
Definition: ecp.h:184
mbedtls_ecp_point::X
mbedtls_mpi X
Definition: ecp.h:136
MBEDTLS_ECP_DP_SECP224K1
@ MBEDTLS_ECP_DP_SECP224K1
Definition: ecp.h:90
mbedtls_ecp_point_init
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
mbedtls_mpi
MPI structure.
Definition: bignum.h:187
mbedtls_ecp_group::G
mbedtls_ecp_point G
Definition: ecp.h:191
mbedtls_ecp_keypair::grp
mbedtls_ecp_group grp
Definition: ecp.h:344
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_point::Z
mbedtls_mpi Z
Definition: ecp.h:138
MBEDTLS_ECP_DP_SECP224R1
@ MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:81
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::h
unsigned int h
Definition: ecp.h:197
mbedtls_ecp_curve_info::grp_id
mbedtls_ecp_group_id grp_id
Definition: ecp.h:117
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_restart_ctx
void mbedtls_ecp_restart_ctx
Definition: ecp.h:330
MBEDTLS_ECP_DP_SECP384R1
@ MBEDTLS_ECP_DP_SECP384R1
Definition: ecp.h:83
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_DP_SECP256R1
@ MBEDTLS_ECP_DP_SECP256R1
Definition: ecp.h:82
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::tls_id
uint16_t tls_id
Definition: ecp.h:118
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_keypair::Q
mbedtls_ecp_point Q
Definition: ecp.h:346
mbedtls_ecp_keypair::d
mbedtls_mpi d
Definition: ecp.h:345
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_point_cmp
int mbedtls_ecp_point_cmp(const mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function compares two points.
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_point
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
MBEDTLS_ECP_DP_CURVE448
@ MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:92
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_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.
bignum.h
Multi-precision integer library.
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_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_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_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_group::t_pre
int(* t_pre)(mbedtls_ecp_point *, void *)
Definition: ecp.h:200
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_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
The ECP key-pair structure.
Definition: ecp.h:343
mbedtls_ecp_group::N
mbedtls_mpi N
Definition: ecp.h:192
MBEDTLS_ECP_DP_BP384R1
@ MBEDTLS_ECP_DP_BP384R1
Definition: ecp.h:86
mbedtls_ecp_group_id
mbedtls_ecp_group_id
Definition: ecp.h:78
MBEDTLS_ECP_DP_BP256R1
@ MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:85
MBEDTLS_ECP_DP_CURVE25519
@ MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:88
mbedtls_ecp_curve_info::bit_size
uint16_t bit_size
Definition: ecp.h:119
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_curve_info::name
const char * name
Definition: ecp.h:120
MBEDTLS_ECP_DP_SECP256K1
@ MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:91
MBEDTLS_ECP_TYPE_MONTGOMERY
@ MBEDTLS_ECP_TYPE_MONTGOMERY
Definition: ecp.h:109
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_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_point::Y
mbedtls_mpi Y
Definition: ecp.h:137
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_group::B
mbedtls_mpi B
Definition: ecp.h:189
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_DP_SECP192K1
@ MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:89
mbedtls_ecp_group::modp
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:198
MBEDTLS_ECP_TYPE_NONE
@ MBEDTLS_ECP_TYPE_NONE
Definition: ecp.h:107
mbedtls_ecp_self_test
int mbedtls_ecp_self_test(int verbose)
The ECP checkup routine.
mbedtls_ecp_group::id
mbedtls_ecp_group_id id
Definition: ecp.h:185
mbedtls_ecp_keypair_free
void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key)
This function frees the components of a key pair.
mbedtls_ecp_curve_info
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
MBEDTLS_ECP_DP_SECP521R1
@ MBEDTLS_ECP_DP_SECP521R1
Definition: ecp.h:84
mbedtls_ecp_curve_info
Definition: ecp.h:116
mbedtls_ecp_group::pbits
size_t pbits
Definition: ecp.h:193
mbedtls_ecp_group::t_post
int(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:201
mbedtls_ecp_group::t_data
void * t_data
Definition: ecp.h:202
MBEDTLS_ECP_DP_SECP192R1
@ MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:80
mbedtls_ecp_group
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
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_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_is_zero
int mbedtls_ecp_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is the point at infinity.
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.
config.h
Configuration options (set of defines)
mbedtls_ecp_group::nbits
size_t nbits
Definition: ecp.h:194
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_group::T
mbedtls_ecp_point * T
Definition: ecp.h:203
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_keypair
struct mbedtls_ecp_keypair mbedtls_ecp_keypair
The ECP key-pair structure.
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_point
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:135
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_DP_NONE
@ MBEDTLS_ECP_DP_NONE
Definition: ecp.h:79
mbedtls_ecp_curve_type
mbedtls_ecp_curve_type
Definition: ecp.h:106
mbedtls_ecp_get_type
mbedtls_ecp_curve_type mbedtls_ecp_get_type(const mbedtls_ecp_group *grp)
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_TYPE_SHORT_WEIERSTRASS
@ MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
Definition: ecp.h:108
mbedtls_ecp_group::A
mbedtls_mpi A
Definition: ecp.h:187
mbedtls_ecp_group::P
mbedtls_mpi P
Definition: ecp.h:186
MBEDTLS_ECP_DP_BP512R1
@ MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:87
mbedtls_ecp_group::T_size
size_t T_size
Definition: ecp.h:204
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.