mbed TLS v2.16.0: ecp.h Source File

mbed TLS v2.16.0

ecp.h
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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 #include "bignum.h"
40
41 /*
42 * ECP error codes
43 */
44 #define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
45 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
46 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
47 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
48 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
49 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
50 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
51 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
53 /* MBEDTLS_ERR_ECP_HW_ACCEL_FAILED is deprecated and should not be used. */
54 #define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
56 #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
58 #ifdef __cplusplus
59 extern "C" {
60 #endif
61
71 typedef enum
72 {
73 MBEDTLS_ECP_DP_NONE = 0,
74 MBEDTLS_ECP_DP_SECP192R1,
75 MBEDTLS_ECP_DP_SECP224R1,
76 MBEDTLS_ECP_DP_SECP256R1,
77 MBEDTLS_ECP_DP_SECP384R1,
78 MBEDTLS_ECP_DP_SECP521R1,
79 MBEDTLS_ECP_DP_BP256R1,
80 MBEDTLS_ECP_DP_BP384R1,
81 MBEDTLS_ECP_DP_BP512R1,
82 MBEDTLS_ECP_DP_CURVE25519,
83 MBEDTLS_ECP_DP_SECP192K1,
84 MBEDTLS_ECP_DP_SECP224K1,
85 MBEDTLS_ECP_DP_SECP256K1,
86 MBEDTLS_ECP_DP_CURVE448,
87 } mbedtls_ecp_group_id;
88
94 #define MBEDTLS_ECP_DP_MAX 12
95
99 typedef struct mbedtls_ecp_curve_info
100 {
101 mbedtls_ecp_group_id grp_id;
102 uint16_t tls_id;
103 uint16_t bit_size;
104 const char *name;
105 } mbedtls_ecp_curve_info;
106
118 typedef struct mbedtls_ecp_point
119 {
120 mbedtls_mpi X;
121 mbedtls_mpi Y;
122 mbedtls_mpi Z;
123 }
124 mbedtls_ecp_point;
125
126 #if !defined(MBEDTLS_ECP_ALT)
127 /*
128 * default mbed TLS elliptic curve arithmetic implementation
129 *
130 * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
131 * alternative implementation for the whole module and it will replace this
132 * one.)
133 */
134
167 typedef struct mbedtls_ecp_group
168 {
169 mbedtls_ecp_group_id id;
170 mbedtls_mpi P;
171 mbedtls_mpi A;
173 mbedtls_mpi B;
175 mbedtls_ecp_point G;
176 mbedtls_mpi N;
177 size_t pbits;
178 size_t nbits;
181 unsigned int h;
182 int (*modp)(mbedtls_mpi *);
184 int (*t_pre)(mbedtls_ecp_point *, void *);
185 int (*t_post)(mbedtls_ecp_point *, void *);
186 void *t_data;
187 mbedtls_ecp_point *T;
188 size_t T_size;
189 }
190 mbedtls_ecp_group;
191
192 #if defined(MBEDTLS_ECP_RESTARTABLE)
193
199 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
200
206 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
207
211 typedef struct
212 {
213 unsigned ops_done;
214 unsigned depth;
215 mbedtls_ecp_restart_mul_ctx *rsm;
216 mbedtls_ecp_restart_muladd_ctx *ma;
217 } mbedtls_ecp_restart_ctx;
218
219 /*
220 * Operation counts for restartable functions
221 */
222 #define MBEDTLS_ECP_OPS_CHK 3
223 #define MBEDTLS_ECP_OPS_DBL 8
224 #define MBEDTLS_ECP_OPS_ADD 11
225 #define MBEDTLS_ECP_OPS_INV 120
238 int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
239 mbedtls_ecp_restart_ctx *rs_ctx,
240 unsigned ops );
241
242 /* Utility macro for checking and updating ops budget */
243 #define MBEDTLS_ECP_BUDGET( ops ) \
244 MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
245 (unsigned) (ops) ) );
246
247 #else /* MBEDTLS_ECP_RESTARTABLE */
248
249 #define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
250
251 /* We want to declare restartable versions of existing functions anyway */
252 typedef void mbedtls_ecp_restart_ctx;
253
254 #endif /* MBEDTLS_ECP_RESTARTABLE */
255
264 #if !defined(MBEDTLS_ECP_MAX_BITS)
265
268 #define MBEDTLS_ECP_MAX_BITS 521
269 #endif
270
271 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
272 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
273
274 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
275 /*
276 * Maximum "window" size used for point multiplication.
277 * Default: 6.
278 * Minimum value: 2. Maximum value: 7.
279 *
280 * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
281 * points used for point multiplication. This value is directly tied to EC
282 * peak memory usage, so decreasing it by one should roughly cut memory usage
283 * by two (if large curves are in use).
284 *
285 * Reduction in size may reduce speed, but larger curves are impacted first.
286 * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
287 * w-size: 6 5 4 3 2
288 * 521 145 141 135 120 97
289 * 384 214 209 198 177 146
290 * 256 320 320 303 262 226
291 * 224 475 475 453 398 342
292 * 192 640 640 633 587 476
293 */
294 #define MBEDTLS_ECP_WINDOW_SIZE 6
295 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
296
297 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
298 /*
299 * Trade memory for speed on fixed-point multiplication.
300 *
301 * This speeds up repeated multiplication of the generator (that is, the
302 * multiplication in ECDSA signatures, and half of the multiplications in
303 * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
304 *
305 * The cost is increasing EC peak memory usage by a factor roughly 2.
306 *
307 * Change this value to 0 to reduce peak memory usage.
308 */
309 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
310 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
311
312 /* \} name SECTION: Module settings */
313
314 #else /* MBEDTLS_ECP_ALT */
315 #include "ecp_alt.h"
316 #endif /* MBEDTLS_ECP_ALT */
317
326 typedef struct mbedtls_ecp_keypair
327 {
328 mbedtls_ecp_group grp;
329 mbedtls_mpi d;
330 mbedtls_ecp_point Q;
331 }
332 mbedtls_ecp_keypair;
333
334 /*
335 * Point formats, from RFC 4492's enum ECPointFormat
336 */
337 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
338 #define MBEDTLS_ECP_PF_COMPRESSED 1
340 /*
341 * Some other constants from RFC 4492
342 */
343 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
345 #if defined(MBEDTLS_ECP_RESTARTABLE)
346
403 void mbedtls_ecp_set_max_ops( unsigned max_ops );
404
411 int mbedtls_ecp_restart_is_enabled( void );
412 #endif /* MBEDTLS_ECP_RESTARTABLE */
413
421 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_list( void );
422
431 const mbedtls_ecp_group_id *mbedtls_ecp_grp_id_list( void );
432
442 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_grp_id( mbedtls_ecp_group_id grp_id );
443
453 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_tls_id( uint16_t tls_id );
454
464 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_name( const char *name );
465
471 void mbedtls_ecp_point_init( mbedtls_ecp_point *pt );
472
482 void mbedtls_ecp_group_init( mbedtls_ecp_group *grp );
483
489 void mbedtls_ecp_keypair_init( mbedtls_ecp_keypair *key );
490
496 void mbedtls_ecp_point_free( mbedtls_ecp_point *pt );
497
505 void mbedtls_ecp_group_free( mbedtls_ecp_group *grp );
506
514 void mbedtls_ecp_keypair_free( mbedtls_ecp_keypair *key );
515
516 #if defined(MBEDTLS_ECP_RESTARTABLE)
517
523 void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
524
532 void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
533 #endif /* MBEDTLS_ECP_RESTARTABLE */
534
546 int mbedtls_ecp_copy( mbedtls_ecp_point *P, const mbedtls_ecp_point *Q );
547
559 int mbedtls_ecp_group_copy( mbedtls_ecp_group *dst,
560 const mbedtls_ecp_group *src );
561
571 int mbedtls_ecp_set_zero( mbedtls_ecp_point *pt );
572
582 int mbedtls_ecp_is_zero( mbedtls_ecp_point *pt );
583
596 int mbedtls_ecp_point_cmp( const mbedtls_ecp_point *P,
597 const mbedtls_ecp_point *Q );
598
611 int mbedtls_ecp_point_read_string( mbedtls_ecp_point *P, int radix,
612 const char *x, const char *y );
613
634 int mbedtls_ecp_point_write_binary( const mbedtls_ecp_group *grp, const mbedtls_ecp_point *P,
635 int format, size_t *olen,
636 unsigned char *buf, size_t buflen );
637
660 int mbedtls_ecp_point_read_binary( const mbedtls_ecp_group *grp,
661 mbedtls_ecp_point *P,
662 const unsigned char *buf, size_t ilen );
663
682 int mbedtls_ecp_tls_read_point( const mbedtls_ecp_group *grp,
683 mbedtls_ecp_point *pt,
684 const unsigned char **buf, size_t len );
685
708 int mbedtls_ecp_tls_write_point( const mbedtls_ecp_group *grp,
709 const mbedtls_ecp_point *pt,
710 int format, size_t *olen,
711 unsigned char *buf, size_t blen );
712
730 int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id );
731
749 int mbedtls_ecp_tls_read_group( mbedtls_ecp_group *grp,
750 const unsigned char **buf, size_t len );
751
770 int mbedtls_ecp_tls_read_group_id( mbedtls_ecp_group_id *grp,
771 const unsigned char **buf,
772 size_t len );
791 int mbedtls_ecp_tls_write_group( const mbedtls_ecp_group *grp,
792 size_t *olen,
793 unsigned char *buf, size_t blen );
794
828 int mbedtls_ecp_mul( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
829 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
830 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
831
862 int mbedtls_ecp_mul_restartable( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
863 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
864 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
865 mbedtls_ecp_restart_ctx *rs_ctx );
866
896 int mbedtls_ecp_muladd( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
897 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
898 const mbedtls_mpi *n, const mbedtls_ecp_point *Q );
899
934 int mbedtls_ecp_muladd_restartable(
935 mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
936 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
937 const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
938 mbedtls_ecp_restart_ctx *rs_ctx );
939
967 int mbedtls_ecp_check_pubkey( const mbedtls_ecp_group *grp,
968 const mbedtls_ecp_point *pt );
969
989 int mbedtls_ecp_check_privkey( const mbedtls_ecp_group *grp,
990 const mbedtls_mpi *d );
991
1007 int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
1008 mbedtls_mpi *d,
1009 int (*f_rng)(void *, unsigned char *, size_t),
1010 void *p_rng );
1011
1039 int mbedtls_ecp_gen_keypair_base( mbedtls_ecp_group *grp,
1040 const mbedtls_ecp_point *G,
1041 mbedtls_mpi *d, mbedtls_ecp_point *Q,
1042 int (*f_rng)(void *, unsigned char *, size_t),
1043 void *p_rng );
1044
1068 int mbedtls_ecp_gen_keypair( mbedtls_ecp_group *grp, mbedtls_mpi *d,
1069 mbedtls_ecp_point *Q,
1070 int (*f_rng)(void *, unsigned char *, size_t),
1071 void *p_rng );
1072
1086 int mbedtls_ecp_gen_key( mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key,
1087 int (*f_rng)(void *, unsigned char *, size_t),
1088 void *p_rng );
1089
1107 int mbedtls_ecp_check_pub_priv( const mbedtls_ecp_keypair *pub,
1108 const mbedtls_ecp_keypair *prv );
1109
1110 #if defined(MBEDTLS_SELF_TEST)
1111
1118 int mbedtls_ecp_self_test( int verbose );
1119
1120 #endif /* MBEDTLS_SELF_TEST */
1121
1122 #ifdef __cplusplus
1123 }
1124 #endif
1125
1126 #endif /* ecp.h */
mbedtls_ecp_curve_info::tls_id
uint16_t tls_id
Definition: ecp.h:102
mbedtls_ecp_group::modp
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:182
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_group::N
mbedtls_mpi N
Definition: ecp.h:176
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_group::t_post
int(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:185
MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:74
mbedtls_ecp_point::Z
mbedtls_mpi Z
Definition: ecp.h:122
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_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_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_point::Y
mbedtls_mpi Y
Definition: ecp.h:121
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_keypair::grp
mbedtls_ecp_group grp
Definition: ecp.h:328
MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:81
mbedtls_ecp_curve_info
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
mbedtls_ecp_keypair
The ECP key-pair structure.
Definition: ecp.h:326
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_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_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_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_DP_SECP224K1
Definition: ecp.h:84
MBEDTLS_ECP_DP_NONE
Definition: ecp.h:73
mbedtls_ecp_group::nbits
size_t nbits
Definition: ecp.h:178
mbedtls_ecp_group
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
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_point_free
void mbedtls_ecp_point_free(mbedtls_ecp_point *pt)
This function frees the components of a point.
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_keypair_init
void mbedtls_ecp_keypair_init(mbedtls_ecp_keypair *key)
This function initializes a key pair as an invalid one.
mbedtls_ecp_group::pbits
size_t pbits
Definition: ecp.h:177
mbedtls_ecp_point::X
mbedtls_mpi X
Definition: ecp.h:120
mbedtls_ecp_curve_info
Definition: ecp.h:99
bignum.h
Multi-precision integer library.
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
The ECP group structure.
Definition: ecp.h:167
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_group::id
mbedtls_ecp_group_id id
Definition: ecp.h:169
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_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_free
void mbedtls_ecp_group_free(mbedtls_ecp_group *grp)
This function frees the components of an ECP group.
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_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_group::A
mbedtls_mpi A
Definition: ecp.h:171
MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:83
mbedtls_ecp_group::P
mbedtls_mpi P
Definition: ecp.h:170
mbedtls_ecp_keypair_free
void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key)
This function frees the components of a key pair.
mbedtls_ecp_keypair
struct mbedtls_ecp_keypair mbedtls_ecp_keypair
The ECP key-pair structure.
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_restart_ctx
void mbedtls_ecp_restart_ctx
Definition: ecp.h:252
mbedtls_ecp_keypair::Q
mbedtls_ecp_point Q
Definition: ecp.h:330
mbedtls_ecp_group::t_data
void * t_data
Definition: ecp.h:186
mbedtls_ecp_point_init
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
mbedtls_ecp_group_id
mbedtls_ecp_group_id
Definition: ecp.h:71
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_self_test
int mbedtls_ecp_self_test(int verbose)
The ECP checkup routine.
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_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_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::grp_id
mbedtls_ecp_group_id grp_id
Definition: ecp.h:101
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_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_keypair::d
mbedtls_mpi d
Definition: ecp.h:329
MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:75
mbedtls_ecp_group::h
unsigned int h
Definition: ecp.h:181
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_group::T_size
size_t T_size
Definition: ecp.h:188
MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:82
mbedtls_ecp_group::T
mbedtls_ecp_point * T
Definition: ecp.h:187
MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:86
mbedtls_ecp_group::G
mbedtls_ecp_point G
Definition: ecp.h:175
mbedtls_mpi
MPI structure.
Definition: bignum.h:180
mbedtls_ecp_point
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:118
MBEDTLS_ECP_DP_SECP256R1
Definition: ecp.h:76
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_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_DP_SECP384R1
Definition: ecp.h:77
mbedtls_ecp_curve_info::name
const char * name
Definition: ecp.h:104
MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:79
MBEDTLS_ECP_DP_SECP521R1
Definition: ecp.h:78
mbedtls_ecp_group::t_pre
int(* t_pre)(mbedtls_ecp_point *, void *)
Definition: ecp.h:184
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_DP_BP384R1
Definition: ecp.h:80
mbedtls_ecp_curve_info::bit_size
uint16_t bit_size
Definition: ecp.h:103
MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:85
mbedtls_ecp_group::B
mbedtls_mpi B
Definition: ecp.h:173
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.