mbed TLS v3.3.0
Loading...
Searching...
No Matches
ecp.h
Go to the documentation of this file.
1
17/*
18 * Copyright The Mbed TLS Contributors
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
34#ifndef MBEDTLS_ECP_H
35#define MBEDTLS_ECP_H
37
38#include "mbedtls/build_info.h"
39
40#include "mbedtls/bignum.h"
41
42/*
43 * ECP error codes
44 */
46#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
48#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
50#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
52#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
54#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
56#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
58#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
60#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
62#define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
63
64/* Flags indicating whether to include code that is specific to certain
65 * types of curves. These flags are for internal library use only. */
66#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
67 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
68 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
69 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
70 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
71 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
72 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
73 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
74 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
75 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
76 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
77#define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
78#endif
79#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
80 defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
81#define MBEDTLS_ECP_MONTGOMERY_ENABLED
82#endif
83
84#ifdef __cplusplus
85extern "C" {
86#endif
87
97/* Note: when adding a new curve:
98 * - Add it at the end of this enum, otherwise you'll break the ABI by
99 * changing the numerical value for existing curves.
100 * - Increment MBEDTLS_ECP_DP_MAX below if needed.
101 * - Update the calculation of MBEDTLS_ECP_MAX_BITS below.
102 * - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to
103 * mbedtls_config.h.
104 * - List the curve as a dependency of MBEDTLS_ECP_C and
105 * MBEDTLS_ECDSA_C if supported in check_config.h.
106 * - Add the curve to the appropriate curve type macro
107 * MBEDTLS_ECP_yyy_ENABLED above.
108 * - Add the necessary definitions to ecp_curves.c.
109 * - Add the curve to the ecp_supported_curves array in ecp.c.
110 * - Add the curve to applicable profiles in x509_crt.c.
111 * - Add the curve to applicable presets in ssl_tls.c.
112 */
113typedef enum
114{
130
134#define MBEDTLS_ECP_DP_MAX 14
135
136/*
137 * Curve types
138 */
139typedef enum
140{
142 MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
143 MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
145
154{
156 uint16_t tls_id;
157 uint16_t bit_size;
158 const char *name;
160
172typedef struct mbedtls_ecp_point
173{
177}
179
180#if !defined(MBEDTLS_ECP_ALT)
181/*
182 * default mbed TLS elliptic curve arithmetic implementation
183 *
184 * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
185 * alternative implementation for the whole module and it will replace this
186 * one.)
187 */
188
227typedef struct mbedtls_ecp_group
228{
237 size_t pbits;
238 size_t nbits;
241 /* End of public fields */
242
243 unsigned int MBEDTLS_PRIVATE(h);
244 int (*MBEDTLS_PRIVATE(modp))(mbedtls_mpi *);
246 int (*MBEDTLS_PRIVATE(t_pre))(mbedtls_ecp_point *, void *);
247 int (*MBEDTLS_PRIVATE(t_post))(mbedtls_ecp_point *, void *);
248 void *MBEDTLS_PRIVATE(t_data);
250 size_t MBEDTLS_PRIVATE(T_size);
251}
253
262#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
263/*
264 * Maximum "window" size used for point multiplication.
265 * Default: a point where higher memory usage yields diminishing performance
266 * returns.
267 * Minimum value: 2. Maximum value: 7.
268 *
269 * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
270 * points used for point multiplication. This value is directly tied to EC
271 * peak memory usage, so decreasing it by one should roughly cut memory usage
272 * by two (if large curves are in use).
273 *
274 * Reduction in size may reduce speed, but larger curves are impacted first.
275 * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
276 * w-size: 6 5 4 3 2
277 * 521 145 141 135 120 97
278 * 384 214 209 198 177 146
279 * 256 320 320 303 262 226
280 * 224 475 475 453 398 342
281 * 192 640 640 633 587 476
282 */
283#define MBEDTLS_ECP_WINDOW_SIZE 4
284#endif /* MBEDTLS_ECP_WINDOW_SIZE */
285
286#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
287/*
288 * Trade code size for speed on fixed-point multiplication.
289 *
290 * This speeds up repeated multiplication of the generator (that is, the
291 * multiplication in ECDSA signatures, and half of the multiplications in
292 * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
293 *
294 * For each n-bit Short Weierstrass curve that is enabled, this adds 4n bytes
295 * of code size if n < 384 and 8n otherwise.
296 *
297 * Change this value to 0 to reduce code size.
298 */
299#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
300#endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
301
304#else /* MBEDTLS_ECP_ALT */
305#include "ecp_alt.h"
306#endif /* MBEDTLS_ECP_ALT */
307
311#if !defined(MBEDTLS_ECP_C)
312/* Dummy definition to help code that has optional ECP support and
313 * defines an MBEDTLS_ECP_MAX_BYTES-sized array unconditionally. */
314#define MBEDTLS_ECP_MAX_BITS 1
315/* Note: the curves must be listed in DECREASING size! */
316#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
317#define MBEDTLS_ECP_MAX_BITS 521
318#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
319#define MBEDTLS_ECP_MAX_BITS 512
320#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
321#define MBEDTLS_ECP_MAX_BITS 448
322#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
323#define MBEDTLS_ECP_MAX_BITS 384
324#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
325#define MBEDTLS_ECP_MAX_BITS 384
326#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
327#define MBEDTLS_ECP_MAX_BITS 256
328#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
329#define MBEDTLS_ECP_MAX_BITS 256
330#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
331#define MBEDTLS_ECP_MAX_BITS 256
332#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
333#define MBEDTLS_ECP_MAX_BITS 255
334#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
335#define MBEDTLS_ECP_MAX_BITS 225 // n is slightly above 2^224
336#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
337#define MBEDTLS_ECP_MAX_BITS 224
338#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
339#define MBEDTLS_ECP_MAX_BITS 192
340#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
341#define MBEDTLS_ECP_MAX_BITS 192
342#else
343#error "Missing definition of MBEDTLS_ECP_MAX_BITS"
344#endif
345
346#define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
347#define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
348
349#if defined(MBEDTLS_ECP_RESTARTABLE)
350
356typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
357
363typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
364
368typedef struct
369{
370 unsigned MBEDTLS_PRIVATE(ops_done);
371 unsigned MBEDTLS_PRIVATE(depth);
372 mbedtls_ecp_restart_mul_ctx *MBEDTLS_PRIVATE(rsm);
373 mbedtls_ecp_restart_muladd_ctx *MBEDTLS_PRIVATE(ma);
375
376/*
377 * Operation counts for restartable functions
378 */
379#define MBEDTLS_ECP_OPS_CHK 3
380#define MBEDTLS_ECP_OPS_DBL 8
381#define MBEDTLS_ECP_OPS_ADD 11
382#define MBEDTLS_ECP_OPS_INV 120
395int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
397 unsigned ops );
398
399/* Utility macro for checking and updating ops budget */
400#define MBEDTLS_ECP_BUDGET( ops ) \
401 MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
402 (unsigned) (ops) ) );
403
404#else /* MBEDTLS_ECP_RESTARTABLE */
405
406#define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
407
408/* We want to declare restartable versions of existing functions anyway */
410
411#endif /* MBEDTLS_ECP_RESTARTABLE */
412
422{
426}
428
429/*
430 * Point formats, from RFC 4492's enum ECPointFormat
431 */
432#define MBEDTLS_ECP_PF_UNCOMPRESSED 0
433#define MBEDTLS_ECP_PF_COMPRESSED 1
435/*
436 * Some other constants from RFC 4492
437 */
438#define MBEDTLS_ECP_TLS_NAMED_CURVE 3
440#if defined(MBEDTLS_ECP_RESTARTABLE)
498void mbedtls_ecp_set_max_ops( unsigned max_ops );
499
506int mbedtls_ecp_restart_is_enabled( void );
507#endif /* MBEDTLS_ECP_RESTARTABLE */
508
509/*
510 * Get the type of a curve
511 */
513
527
543
554
565
576
583
594
601
608
617
626
627#if defined(MBEDTLS_ECP_RESTARTABLE)
634void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
635
643void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
644#endif /* MBEDTLS_ECP_RESTARTABLE */
645
658
671 const mbedtls_ecp_group *src );
672
683
694
708 const mbedtls_ecp_point *Q );
709
723 const char *x, const char *y );
724
751 const mbedtls_ecp_point *P,
752 int format, size_t *olen,
753 unsigned char *buf, size_t buflen );
754
779 const unsigned char *buf, size_t ilen );
780
801 const unsigned char **buf, size_t len );
802
826 const mbedtls_ecp_point *pt,
827 int format, size_t *olen,
828 unsigned char *buf, size_t blen );
829
848
867 const unsigned char **buf, size_t len );
868
888 const unsigned char **buf,
889 size_t len );
909 size_t *olen,
910 unsigned char *buf, size_t blen );
911
942 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
943 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
944
976 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
977 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
978 mbedtls_ecp_restart_ctx *rs_ctx );
979
980#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1017 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1018 const mbedtls_mpi *n, const mbedtls_ecp_point *Q );
1019
1062 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1063 const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1064 mbedtls_ecp_restart_ctx *rs_ctx );
1065#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1066
1095 const mbedtls_ecp_point *pt );
1096
1117 const mbedtls_mpi *d );
1118
1135 mbedtls_mpi *d,
1136 int (*f_rng)(void *, unsigned char *, size_t),
1137 void *p_rng );
1138
1167 const mbedtls_ecp_point *G,
1169 int (*f_rng)(void *, unsigned char *, size_t),
1170 void *p_rng );
1171
1197 int (*f_rng)(void *, unsigned char *, size_t),
1198 void *p_rng );
1199
1214 int (*f_rng)(void *, unsigned char *, size_t),
1215 void *p_rng );
1216
1236 const unsigned char *buf, size_t buflen );
1237
1255 unsigned char *buf, size_t buflen );
1256
1278 const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv,
1279 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
1280
1300
1301#if defined(MBEDTLS_SELF_TEST)
1302
1309int mbedtls_ecp_self_test( int verbose );
1310
1311#endif /* MBEDTLS_SELF_TEST */
1312
1313#ifdef __cplusplus
1314}
1315#endif
1316
1317#endif /* ecp.h */
Multi-precision integer library.
Build-time configuration info.
void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key)
This function frees the components of a key pair.
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.
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.
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.
int mbedtls_ecp_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is the point at infinity.
int mbedtls_ecp_write_key(mbedtls_ecp_keypair *key, unsigned char *buf, size_t buflen)
This function exports an elliptic curve private key.
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,...
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_curve_type mbedtls_ecp_get_type(const mbedtls_ecp_group *grp)
void mbedtls_ecp_restart_ctx
Definition: ecp.h:409
int mbedtls_ecp_export(const mbedtls_ecp_keypair *key, mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q)
This function exports generic key-pair parameters.
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
Definition: ecp.h:140
@ MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
Definition: ecp.h:142
@ MBEDTLS_ECP_TYPE_NONE
Definition: ecp.h:141
@ MBEDTLS_ECP_TYPE_MONTGOMERY
Definition: ecp.h:143
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...
void mbedtls_ecp_group_init(mbedtls_ecp_group *grp)
This function initializes an ECP group context without loading any domain parameters.
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.
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.
int mbedtls_ecp_point_cmp(const mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function compares two points.
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.
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.
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.
void mbedtls_ecp_keypair_init(mbedtls_ecp_keypair *key)
This function initializes a key pair as an invalid one.
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...
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_name(const char *name)
This function retrieves curve information from a human-readable name.
void mbedtls_ecp_point_free(mbedtls_ecp_point *pt)
This function frees the components of a 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.
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.
void mbedtls_ecp_group_free(mbedtls_ecp_group *grp)
This function frees the components of an ECP group.
int mbedtls_ecp_copy(mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function copies the contents of point Q into point P.
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 ...
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.
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.
int mbedtls_ecp_check_pub_priv(const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
This function checks that the keypair objects pub and prv have the same group and the same public poi...
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....
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.
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
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,...
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.
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
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_id
Definition: ecp.h:114
@ MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:125
@ MBEDTLS_ECP_DP_SECP384R1
Definition: ecp.h:119
@ MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:128
@ MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:124
@ MBEDTLS_ECP_DP_NONE
Definition: ecp.h:115
@ MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:127
@ MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:123
@ MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:117
@ MBEDTLS_ECP_DP_SECP521R1
Definition: ecp.h:120
@ MBEDTLS_ECP_DP_BP384R1
Definition: ecp.h:122
@ MBEDTLS_ECP_DP_SECP224K1
Definition: ecp.h:126
@ MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:121
@ MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:116
@ MBEDTLS_ECP_DP_SECP256R1
Definition: ecp.h:118
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.
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.
int mbedtls_ecp_self_test(int verbose)
The ECP checkup routine.
Macro wrapper for struct's members.
#define MBEDTLS_PRIVATE(member)
const char * name
Definition: ecp.h:158
mbedtls_ecp_group_id grp_id
Definition: ecp.h:155
uint16_t bit_size
Definition: ecp.h:157
uint16_t tls_id
Definition: ecp.h:156
The ECP group structure.
Definition: ecp.h:228
size_t pbits
Definition: ecp.h:237
mbedtls_ecp_group_id id
Definition: ecp.h:229
mbedtls_mpi N
Definition: ecp.h:236
mbedtls_ecp_point G
Definition: ecp.h:235
mbedtls_mpi B
Definition: ecp.h:233
mbedtls_mpi P
Definition: ecp.h:230
size_t nbits
Definition: ecp.h:238
mbedtls_mpi A
Definition: ecp.h:231
The ECP key-pair structure.
Definition: ecp.h:422
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:173
MPI structure.
Definition: bignum.h:204