mbed TLS v2.16.3: ecp.h Source File

mbed TLS v2.16.3

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 #if !defined(MBEDTLS_CONFIG_FILE)
40 #include "config.h"
41 #else
42 #include MBEDTLS_CONFIG_FILE
43 #endif
44
45 #include "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 {
79 MBEDTLS_ECP_DP_NONE = 0,
80 MBEDTLS_ECP_DP_SECP192R1,
81 MBEDTLS_ECP_DP_SECP224R1,
82 MBEDTLS_ECP_DP_SECP256R1,
83 MBEDTLS_ECP_DP_SECP384R1,
84 MBEDTLS_ECP_DP_SECP521R1,
85 MBEDTLS_ECP_DP_BP256R1,
86 MBEDTLS_ECP_DP_BP384R1,
87 MBEDTLS_ECP_DP_BP512R1,
88 MBEDTLS_ECP_DP_CURVE25519,
89 MBEDTLS_ECP_DP_SECP192K1,
90 MBEDTLS_ECP_DP_SECP224K1,
91 MBEDTLS_ECP_DP_SECP256K1,
92 MBEDTLS_ECP_DP_CURVE448,
93 } mbedtls_ecp_group_id;
94
100 #define MBEDTLS_ECP_DP_MAX 12
101
105 typedef struct mbedtls_ecp_curve_info
106 {
107 mbedtls_ecp_group_id grp_id;
108 uint16_t tls_id;
109 uint16_t bit_size;
110 const char *name;
111 } mbedtls_ecp_curve_info;
112
124 typedef struct mbedtls_ecp_point
125 {
126 mbedtls_mpi X;
127 mbedtls_mpi Y;
128 mbedtls_mpi Z;
129 }
130 mbedtls_ecp_point;
131
132 #if !defined(MBEDTLS_ECP_ALT)
133 /*
134 * default mbed TLS elliptic curve arithmetic implementation
135 *
136 * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
137 * alternative implementation for the whole module and it will replace this
138 * one.)
139 */
140
173 typedef struct mbedtls_ecp_group
174 {
175 mbedtls_ecp_group_id id;
176 mbedtls_mpi P;
177 mbedtls_mpi A;
179 mbedtls_mpi B;
181 mbedtls_ecp_point G;
182 mbedtls_mpi N;
183 size_t pbits;
184 size_t nbits;
187 unsigned int h;
188 int (*modp)(mbedtls_mpi *);
190 int (*t_pre)(mbedtls_ecp_point *, void *);
191 int (*t_post)(mbedtls_ecp_point *, void *);
192 void *t_data;
193 mbedtls_ecp_point *T;
194 size_t T_size;
195 }
196 mbedtls_ecp_group;
197
206 #if !defined(MBEDTLS_ECP_MAX_BITS)
207
210 #define MBEDTLS_ECP_MAX_BITS 521
211 #endif
212
213 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
214 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
215
216 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
217 /*
218 * Maximum "window" size used for point multiplication.
219 * Default: 6.
220 * Minimum value: 2. Maximum value: 7.
221 *
222 * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
223 * points used for point multiplication. This value is directly tied to EC
224 * peak memory usage, so decreasing it by one should roughly cut memory usage
225 * by two (if large curves are in use).
226 *
227 * Reduction in size may reduce speed, but larger curves are impacted first.
228 * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
229 * w-size: 6 5 4 3 2
230 * 521 145 141 135 120 97
231 * 384 214 209 198 177 146
232 * 256 320 320 303 262 226
233 * 224 475 475 453 398 342
234 * 192 640 640 633 587 476
235 */
236 #define MBEDTLS_ECP_WINDOW_SIZE 6
237 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
238
239 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
240 /*
241 * Trade memory for speed on fixed-point multiplication.
242 *
243 * This speeds up repeated multiplication of the generator (that is, the
244 * multiplication in ECDSA signatures, and half of the multiplications in
245 * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
246 *
247 * The cost is increasing EC peak memory usage by a factor roughly 2.
248 *
249 * Change this value to 0 to reduce peak memory usage.
250 */
251 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
252 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
253
254 /* \} name SECTION: Module settings */
255
256 #else /* MBEDTLS_ECP_ALT */
257 #include "ecp_alt.h"
258 #endif /* MBEDTLS_ECP_ALT */
259
260 #if defined(MBEDTLS_ECP_RESTARTABLE)
261
267 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
268
274 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
275
279 typedef struct
280 {
281 unsigned ops_done;
282 unsigned depth;
283 mbedtls_ecp_restart_mul_ctx *rsm;
284 mbedtls_ecp_restart_muladd_ctx *ma;
285 } mbedtls_ecp_restart_ctx;
286
287 /*
288 * Operation counts for restartable functions
289 */
290 #define MBEDTLS_ECP_OPS_CHK 3
291 #define MBEDTLS_ECP_OPS_DBL 8
292 #define MBEDTLS_ECP_OPS_ADD 11
293 #define MBEDTLS_ECP_OPS_INV 120
306 int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
307 mbedtls_ecp_restart_ctx *rs_ctx,
308 unsigned ops );
309
310 /* Utility macro for checking and updating ops budget */
311 #define MBEDTLS_ECP_BUDGET( ops ) \
312 MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
313 (unsigned) (ops) ) );
314
315 #else /* MBEDTLS_ECP_RESTARTABLE */
316
317 #define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
318
319 /* We want to declare restartable versions of existing functions anyway */
320 typedef void mbedtls_ecp_restart_ctx;
321
322 #endif /* MBEDTLS_ECP_RESTARTABLE */
323
332 typedef struct mbedtls_ecp_keypair
333 {
334 mbedtls_ecp_group grp;
335 mbedtls_mpi d;
336 mbedtls_ecp_point Q;
337 }
338 mbedtls_ecp_keypair;
339
340 /*
341 * Point formats, from RFC 4492's enum ECPointFormat
342 */
343 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
344 #define MBEDTLS_ECP_PF_COMPRESSED 1
346 /*
347 * Some other constants from RFC 4492
348 */
349 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
351 #if defined(MBEDTLS_ECP_RESTARTABLE)
352
409 void mbedtls_ecp_set_max_ops( unsigned max_ops );
410
417 int mbedtls_ecp_restart_is_enabled( void );
418 #endif /* MBEDTLS_ECP_RESTARTABLE */
419
427 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_list( void );
428
437 const mbedtls_ecp_group_id *mbedtls_ecp_grp_id_list( void );
438
448 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_grp_id( mbedtls_ecp_group_id grp_id );
449
459 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_tls_id( uint16_t tls_id );
460
470 const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_name( const char *name );
471
477 void mbedtls_ecp_point_init( mbedtls_ecp_point *pt );
478
488 void mbedtls_ecp_group_init( mbedtls_ecp_group *grp );
489
495 void mbedtls_ecp_keypair_init( mbedtls_ecp_keypair *key );
496
502 void mbedtls_ecp_point_free( mbedtls_ecp_point *pt );
503
511 void mbedtls_ecp_group_free( mbedtls_ecp_group *grp );
512
520 void mbedtls_ecp_keypair_free( mbedtls_ecp_keypair *key );
521
522 #if defined(MBEDTLS_ECP_RESTARTABLE)
523
529 void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
530
538 void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
539 #endif /* MBEDTLS_ECP_RESTARTABLE */
540
552 int mbedtls_ecp_copy( mbedtls_ecp_point *P, const mbedtls_ecp_point *Q );
553
565 int mbedtls_ecp_group_copy( mbedtls_ecp_group *dst,
566 const mbedtls_ecp_group *src );
567
577 int mbedtls_ecp_set_zero( mbedtls_ecp_point *pt );
578
588 int mbedtls_ecp_is_zero( mbedtls_ecp_point *pt );
589
602 int mbedtls_ecp_point_cmp( const mbedtls_ecp_point *P,
603 const mbedtls_ecp_point *Q );
604
617 int mbedtls_ecp_point_read_string( mbedtls_ecp_point *P, int radix,
618 const char *x, const char *y );
619
640 int mbedtls_ecp_point_write_binary( const mbedtls_ecp_group *grp, const mbedtls_ecp_point *P,
641 int format, size_t *olen,
642 unsigned char *buf, size_t buflen );
643
666 int mbedtls_ecp_point_read_binary( const mbedtls_ecp_group *grp,
667 mbedtls_ecp_point *P,
668 const unsigned char *buf, size_t ilen );
669
688 int mbedtls_ecp_tls_read_point( const mbedtls_ecp_group *grp,
689 mbedtls_ecp_point *pt,
690 const unsigned char **buf, size_t len );
691
714 int mbedtls_ecp_tls_write_point( const mbedtls_ecp_group *grp,
715 const mbedtls_ecp_point *pt,
716 int format, size_t *olen,
717 unsigned char *buf, size_t blen );
718
736 int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id );
737
755 int mbedtls_ecp_tls_read_group( mbedtls_ecp_group *grp,
756 const unsigned char **buf, size_t len );
757
776 int mbedtls_ecp_tls_read_group_id( mbedtls_ecp_group_id *grp,
777 const unsigned char **buf,
778 size_t len );
797 int mbedtls_ecp_tls_write_group( const mbedtls_ecp_group *grp,
798 size_t *olen,
799 unsigned char *buf, size_t blen );
800
834 int mbedtls_ecp_mul( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
835 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
836 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
837
868 int mbedtls_ecp_mul_restartable( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
869 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
870 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
871 mbedtls_ecp_restart_ctx *rs_ctx );
872
902 int mbedtls_ecp_muladd( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
903 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
904 const mbedtls_mpi *n, const mbedtls_ecp_point *Q );
905
940 int mbedtls_ecp_muladd_restartable(
941 mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
942 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
943 const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
944 mbedtls_ecp_restart_ctx *rs_ctx );
945
973 int mbedtls_ecp_check_pubkey( const mbedtls_ecp_group *grp,
974 const mbedtls_ecp_point *pt );
975
995 int mbedtls_ecp_check_privkey( const mbedtls_ecp_group *grp,
996 const mbedtls_mpi *d );
997
1013 int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
1014 mbedtls_mpi *d,
1015 int (*f_rng)(void *, unsigned char *, size_t),
1016 void *p_rng );
1017
1045 int mbedtls_ecp_gen_keypair_base( mbedtls_ecp_group *grp,
1046 const mbedtls_ecp_point *G,
1047 mbedtls_mpi *d, mbedtls_ecp_point *Q,
1048 int (*f_rng)(void *, unsigned char *, size_t),
1049 void *p_rng );
1050
1074 int mbedtls_ecp_gen_keypair( mbedtls_ecp_group *grp, mbedtls_mpi *d,
1075 mbedtls_ecp_point *Q,
1076 int (*f_rng)(void *, unsigned char *, size_t),
1077 void *p_rng );
1078
1092 int mbedtls_ecp_gen_key( mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key,
1093 int (*f_rng)(void *, unsigned char *, size_t),
1094 void *p_rng );
1095
1113 int mbedtls_ecp_check_pub_priv( const mbedtls_ecp_keypair *pub,
1114 const mbedtls_ecp_keypair *prv );
1115
1116 #if defined(MBEDTLS_SELF_TEST)
1117
1124 int mbedtls_ecp_self_test( int verbose );
1125
1126 #endif /* MBEDTLS_SELF_TEST */
1127
1128 #ifdef __cplusplus
1129 }
1130 #endif
1131
1132 #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:173
mbedtls_ecp_point::X
mbedtls_mpi X
Definition: ecp.h:126
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:185
mbedtls_ecp_group::G
mbedtls_ecp_point G
Definition: ecp.h:181
mbedtls_ecp_keypair::grp
mbedtls_ecp_group grp
Definition: ecp.h:334
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:128
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:187
mbedtls_ecp_curve_info::grp_id
mbedtls_ecp_group_id grp_id
Definition: ecp.h:107
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
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
mbedtls_ecp_restart_ctx
void mbedtls_ecp_restart_ctx
Definition: ecp.h:320
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
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:108
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:336
mbedtls_ecp_keypair::d
mbedtls_mpi d
Definition: ecp.h:335
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_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.
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:190
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:332
mbedtls_ecp_group::N
mbedtls_mpi N
Definition: ecp.h:182
MBEDTLS_ECP_DP_BP384R1
Definition: ecp.h:86
mbedtls_ecp_group_id
mbedtls_ecp_group_id
Definition: ecp.h:77
MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:85
MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:88
mbedtls_ecp_curve_info::bit_size
uint16_t bit_size
Definition: ecp.h:109
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:110
MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:91
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:127
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:179
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
Definition: ecp.h:89
mbedtls_ecp_group::modp
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:188
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:175
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_DP_SECP521R1
Definition: ecp.h:84
mbedtls_ecp_curve_info
Definition: ecp.h:105
mbedtls_ecp_group::pbits
size_t pbits
Definition: ecp.h:183
mbedtls_ecp_group::t_post
int(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:191
mbedtls_ecp_group::t_data
void * t_data
Definition: ecp.h:192
MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:80
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:184
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:193
mbedtls_ecp_curve_info
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
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_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:124
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
Definition: ecp.h:79
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
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
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::A
mbedtls_mpi A
Definition: ecp.h:177
mbedtls_ecp_group::P
mbedtls_mpi P
Definition: ecp.h:176
MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:87
mbedtls_ecp_group::T_size
size_t T_size
Definition: ecp.h:194
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.