mbed TLS v2.14.1

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
163 typedef struct mbedtls_ecp_group
164 {
165 mbedtls_ecp_group_id id;
166 mbedtls_mpi P;
167 mbedtls_mpi A;
169 mbedtls_mpi B;
171 mbedtls_ecp_point G;
172 mbedtls_mpi N;
173 size_t pbits;
174 size_t nbits;
177 unsigned int h;
178 int (*modp)(mbedtls_mpi *);
180 int (*t_pre)(mbedtls_ecp_point *, void *);
181 int (*t_post)(mbedtls_ecp_point *, void *);
182 void *t_data;
183 mbedtls_ecp_point *T;
184 size_t T_size;
185 }
186 mbedtls_ecp_group;
187
188 #if defined(MBEDTLS_ECP_RESTARTABLE)
189
195 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
196
202 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
203
207 typedef struct
208 {
209 unsigned ops_done;
210 unsigned depth;
211 mbedtls_ecp_restart_mul_ctx *rsm;
212 mbedtls_ecp_restart_muladd_ctx *ma;
213 } mbedtls_ecp_restart_ctx;
214
215 /*
216 * Operation counts for restartable functions
217 */
218 #define MBEDTLS_ECP_OPS_CHK 3
219 #define MBEDTLS_ECP_OPS_DBL 8
220 #define MBEDTLS_ECP_OPS_ADD 11
221 #define MBEDTLS_ECP_OPS_INV 120
234 int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
235 mbedtls_ecp_restart_ctx *rs_ctx,
236 unsigned ops );
237
238 /* Utility macro for checking and updating ops budget */
239 #define MBEDTLS_ECP_BUDGET( ops ) \
240 MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
241 (unsigned) (ops) ) );
242
243 #else /* MBEDTLS_ECP_RESTARTABLE */
244
245 #define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
246
247 /* We want to declare restartable versions of existing functions anyway */
248 typedef void mbedtls_ecp_restart_ctx;
249
250 #endif /* MBEDTLS_ECP_RESTARTABLE */
251
260 #if !defined(MBEDTLS_ECP_MAX_BITS)
261
264 #define MBEDTLS_ECP_MAX_BITS 521
265 #endif
266
267 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
268 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
269
270 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
271 /*
272 * Maximum "window" size used for point multiplication.
273 * Default: 6.
274 * Minimum value: 2. Maximum value: 7.
275 *
276 * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
277 * points used for point multiplication. This value is directly tied to EC
278 * peak memory usage, so decreasing it by one should roughly cut memory usage
279 * by two (if large curves are in use).
280 *
281 * Reduction in size may reduce speed, but larger curves are impacted first.
282 * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
283 * w-size: 6 5 4 3 2
284 * 521 145 141 135 120 97
285 * 384 214 209 198 177 146
286 * 256 320 320 303 262 226
287 * 224 475 475 453 398 342
288 * 192 640 640 633 587 476
289 */
290 #define MBEDTLS_ECP_WINDOW_SIZE 6
291 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
292
293 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
294 /*
295 * Trade memory for speed on fixed-point multiplication.
296 *
297 * This speeds up repeated multiplication of the generator (that is, the
298 * multiplication in ECDSA signatures, and half of the multiplications in
299 * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
300 *
301 * The cost is increasing EC peak memory usage by a factor roughly 2.
302 *
303 * Change this value to 0 to reduce peak memory usage.
304 */
305 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
306 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
307
308 /* \} name SECTION: Module settings */
309
310 #else /* MBEDTLS_ECP_ALT */
311 #include "ecp_alt.h"
312 #endif /* MBEDTLS_ECP_ALT */
313
322 typedef struct mbedtls_ecp_keypair
323 {
324 mbedtls_ecp_group grp;
325 mbedtls_mpi d;
326 mbedtls_ecp_point Q;
327 }
328 mbedtls_ecp_keypair;
329
330 /*
331 * Point formats, from RFC 4492's enum ECPointFormat
332 */
333 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
334 #define MBEDTLS_ECP_PF_COMPRESSED 1
336 /*
337 * Some other constants from RFC 4492
338 */
339 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
341 #if defined(MBEDTLS_ECP_RESTARTABLE)
342
399 void mbedtls_ecp_set_max_ops( unsigned max_ops );
400
407 int mbedtls_ecp_restart_is_enabled( void );
408 #endif /* MBEDTLS_ECP_RESTARTABLE */
409
417 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_list( void );
418
427 const mbedtls_ecp_group_id *mbedtls_ecp_grp_id_list( void );
428
438 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_grp_id( mbedtls_ecp_group_id grp_id );
439
449 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_tls_id( uint16_t tls_id );
450
460 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_name( const char *name );
461
467 void mbedtls_ecp_point_init( mbedtls_ecp_point *pt );
468
478 void mbedtls_ecp_group_init( mbedtls_ecp_group *grp );
479
485 void mbedtls_ecp_keypair_init( mbedtls_ecp_keypair *key );
486
492 void mbedtls_ecp_point_free( mbedtls_ecp_point *pt );
493
498 void mbedtls_ecp_group_free( mbedtls_ecp_group *grp );
499
504 void mbedtls_ecp_keypair_free( mbedtls_ecp_keypair *key );
505
506 #if defined(MBEDTLS_ECP_RESTARTABLE)
507
510 void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
511
515 void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
516 #endif /* MBEDTLS_ECP_RESTARTABLE */
517
528 int mbedtls_ecp_copy( mbedtls_ecp_point *P, const mbedtls_ecp_point *Q );
529
540 int mbedtls_ecp_group_copy( mbedtls_ecp_group *dst, const mbedtls_ecp_group *src );
541
550 int mbedtls_ecp_set_zero( mbedtls_ecp_point *pt );
551
560 int mbedtls_ecp_is_zero( mbedtls_ecp_point *pt );
561
574 int mbedtls_ecp_point_cmp( const mbedtls_ecp_point *P,
575 const mbedtls_ecp_point *Q );
576
589 int mbedtls_ecp_point_read_string( mbedtls_ecp_point *P, int radix,
590 const char *x, const char *y );
591
606 int mbedtls_ecp_point_write_binary( const mbedtls_ecp_group *grp, const mbedtls_ecp_point *P,
607 int format, size_t *olen,
608 unsigned char *buf, size_t buflen );
609
629 int mbedtls_ecp_point_read_binary( const mbedtls_ecp_group *grp, mbedtls_ecp_point *P,
630 const unsigned char *buf, size_t ilen );
631
647 int mbedtls_ecp_tls_read_point( const mbedtls_ecp_group *grp, mbedtls_ecp_point *pt,
648 const unsigned char **buf, size_t len );
649
665 int mbedtls_ecp_tls_write_point( const mbedtls_ecp_group *grp, const mbedtls_ecp_point *pt,
666 int format, size_t *olen,
667 unsigned char *buf, size_t blen );
668
685 int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id );
686
701 int mbedtls_ecp_tls_read_group( mbedtls_ecp_group *grp, const unsigned char **buf, size_t len );
702
714 int mbedtls_ecp_tls_write_group( const mbedtls_ecp_group *grp, size_t *olen,
715 unsigned char *buf, size_t blen );
716
745 int mbedtls_ecp_mul( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
746 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
747 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
748
774 int mbedtls_ecp_mul_restartable( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
775 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
776 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
777 mbedtls_ecp_restart_ctx *rs_ctx );
778
801 int mbedtls_ecp_muladd( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
802 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
803 const mbedtls_mpi *n, const mbedtls_ecp_point *Q );
804
832 int mbedtls_ecp_muladd_restartable(
833 mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
834 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
835 const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
836 mbedtls_ecp_restart_ctx *rs_ctx );
837
861 int mbedtls_ecp_check_pubkey( const mbedtls_ecp_group *grp, const mbedtls_ecp_point *pt );
862
878 int mbedtls_ecp_check_privkey( const mbedtls_ecp_group *grp, const mbedtls_mpi *d );
879
892 int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
893 mbedtls_mpi *d,
894 int (*f_rng)(void *, unsigned char *, size_t),
895 void *p_rng );
896
917 int mbedtls_ecp_gen_keypair_base( mbedtls_ecp_group *grp,
918 const mbedtls_ecp_point *G,
919 mbedtls_mpi *d, mbedtls_ecp_point *Q,
920 int (*f_rng)(void *, unsigned char *, size_t),
921 void *p_rng );
922
941 int mbedtls_ecp_gen_keypair( mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q,
942 int (*f_rng)(void *, unsigned char *, size_t),
943 void *p_rng );
944
957 int mbedtls_ecp_gen_key( mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key,
958 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
959
975 int mbedtls_ecp_check_pub_priv( const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv );
976
977 #if defined(MBEDTLS_SELF_TEST)
978
985 int mbedtls_ecp_self_test( int verbose );
986
987 #endif /* MBEDTLS_SELF_TEST */
988
989 #ifdef __cplusplus
990 }
991 #endif
992
993 #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:178
mbedtls_ecp_is_zero
int mbedtls_ecp_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is zero.
mbedtls_ecp_group::N
mbedtls_mpi N
Definition: ecp.h:172
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:181
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:324
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:322
mbedtls_ecp_set_zero
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to zero.
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:174
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:173
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:163
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:165
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 writes the TLS ECParameters record for a group.
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 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:167
MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:83
mbedtls_ecp_group::P
mbedtls_mpi P
Definition: ecp.h:166
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 a group from a TLS ECParameters record.
mbedtls_ecp_restart_ctx
void mbedtls_ecp_restart_ctx
Definition: ecp.h:248
mbedtls_ecp_keypair::Q
mbedtls_ecp_point Q
Definition: ecp.h:326
mbedtls_ecp_group::t_data
void * t_data
Definition: ecp.h:182
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_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:325
MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:75
mbedtls_ecp_group::h
unsigned int h
Definition: ecp.h:177
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.
mbedtls_ecp_group::T_size
size_t T_size
Definition: ecp.h:184
MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:82
mbedtls_ecp_group::T
mbedtls_ecp_point * T
Definition: ecp.h:183
MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:86
mbedtls_ecp_group::G
mbedtls_ecp_point G
Definition: ecp.h:171
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:180
mbedtls_ecp_group_load
int mbedtls_ecp_group_load(mbedtls_ecp_group *grp, mbedtls_ecp_group_id id)
This function sets a group using standardized 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:169
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.