mbed TLS v2.24.0
ecp.h
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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
36 
37 #if !defined(MBEDTLS_CONFIG_FILE)
38 #include "mbedtls/config.h"
39 #else
40 #include MBEDTLS_CONFIG_FILE
41 #endif
42 
43 #include "mbedtls/bignum.h"
44 
45 /*
46  * ECP error codes
47  */
48 #define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
49 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
50 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
51 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
52 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
53 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
54 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
55 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
57 /* MBEDTLS_ERR_ECP_HW_ACCEL_FAILED is deprecated and should not be used. */
58 #define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
60 #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
62 /* Flags indicating whether to include code that is specific to certain
63  * types of curves. These flags are for internal library use only. */
64 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
65  defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
66  defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
67  defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
68  defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
69  defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
70  defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
71  defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
72  defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
73  defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
74  defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
75 #define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
76 #endif
77 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
78  defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
79 #define MBEDTLS_ECP_MONTGOMERY_ENABLED
80 #endif
81 
82 #ifdef __cplusplus
83 extern "C" {
84 #endif
85 
95 /* Note: when adding a new curve:
96  * - Add it at the end of this enum, otherwise you'll break the ABI by
97  * changing the numerical value for existing curves.
98  * - Increment MBEDTLS_ECP_DP_MAX below if needed.
99  * - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to
100  * config.h.
101  * - List the curve as a dependency of MBEDTLS_ECP_C and
102  * MBEDTLS_ECDSA_C if supported in check_config.h.
103  * - Add the curve to the appropriate curve type macro
104  * MBEDTLS_ECP_yyy_ENABLED above.
105  * - Add the necessary definitions to ecp_curves.c.
106  * - Add the curve to the ecp_supported_curves array in ecp.c.
107  * - Add the curve to applicable profiles in x509_crt.c if applicable.
108  */
109 typedef enum
110 {
126 
132 #define MBEDTLS_ECP_DP_MAX 12
133 
134 /*
135  * Curve types
136  */
137 typedef enum
138 {
140  MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
141  MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
143 
148 {
150  uint16_t tls_id;
151  uint16_t bit_size;
152  const char *name;
154 
166 typedef struct mbedtls_ecp_point
167 {
171 }
173 
174 #if !defined(MBEDTLS_ECP_ALT)
175 /*
176  * default mbed TLS elliptic curve arithmetic implementation
177  *
178  * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
179  * alternative implementation for the whole module and it will replace this
180  * one.)
181  */
182 
215 typedef struct mbedtls_ecp_group
216 {
218  mbedtls_mpi P;
219  mbedtls_mpi A;
221  mbedtls_mpi B;
224  mbedtls_mpi N;
225  size_t pbits;
226  size_t nbits;
229  unsigned int h;
230  int (*modp)(mbedtls_mpi *);
232  int (*t_pre)(mbedtls_ecp_point *, void *);
233  int (*t_post)(mbedtls_ecp_point *, void *);
234  void *t_data;
235  mbedtls_ecp_point *T;
236  size_t T_size;
237 }
238 mbedtls_ecp_group;
239 
248 #if !defined(MBEDTLS_ECP_MAX_BITS)
249 
252 #define MBEDTLS_ECP_MAX_BITS 521
253 #endif
254 
255 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
256 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
257 
258 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
259 /*
260  * Maximum "window" size used for point multiplication.
261  * Default: 6.
262  * Minimum value: 2. Maximum value: 7.
263  *
264  * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
265  * points used for point multiplication. This value is directly tied to EC
266  * peak memory usage, so decreasing it by one should roughly cut memory usage
267  * by two (if large curves are in use).
268  *
269  * Reduction in size may reduce speed, but larger curves are impacted first.
270  * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
271  * w-size: 6 5 4 3 2
272  * 521 145 141 135 120 97
273  * 384 214 209 198 177 146
274  * 256 320 320 303 262 226
275  * 224 475 475 453 398 342
276  * 192 640 640 633 587 476
277  */
278 #define MBEDTLS_ECP_WINDOW_SIZE 6
279 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
280 
281 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
282 /*
283  * Trade memory for speed on fixed-point multiplication.
284  *
285  * This speeds up repeated multiplication of the generator (that is, the
286  * multiplication in ECDSA signatures, and half of the multiplications in
287  * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
288  *
289  * The cost is increasing EC peak memory usage by a factor roughly 2.
290  *
291  * Change this value to 0 to reduce peak memory usage.
292  */
293 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
294 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
295 
296 /* \} name SECTION: Module settings */
297 
298 #else /* MBEDTLS_ECP_ALT */
299 #include "ecp_alt.h"
300 #endif /* MBEDTLS_ECP_ALT */
301 
302 #if defined(MBEDTLS_ECP_RESTARTABLE)
303 
309 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
310 
316 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
317 
321 typedef struct
322 {
323  unsigned ops_done;
324  unsigned depth;
328 
329 /*
330  * Operation counts for restartable functions
331  */
332 #define MBEDTLS_ECP_OPS_CHK 3
333 #define MBEDTLS_ECP_OPS_DBL 8
334 #define MBEDTLS_ECP_OPS_ADD 11
335 #define MBEDTLS_ECP_OPS_INV 120
348 int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
349  mbedtls_ecp_restart_ctx *rs_ctx,
350  unsigned ops );
351 
352 /* Utility macro for checking and updating ops budget */
353 #define MBEDTLS_ECP_BUDGET( ops ) \
354  MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
355  (unsigned) (ops) ) );
356 
357 #else /* MBEDTLS_ECP_RESTARTABLE */
358 
359 #define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
360 
361 /* We want to declare restartable versions of existing functions anyway */
362 typedef void mbedtls_ecp_restart_ctx;
363 
364 #endif /* MBEDTLS_ECP_RESTARTABLE */
365 
374 typedef struct mbedtls_ecp_keypair
375 {
376  mbedtls_ecp_group grp;
379 }
381 
382 /*
383  * Point formats, from RFC 4492's enum ECPointFormat
384  */
385 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
386 #define MBEDTLS_ECP_PF_COMPRESSED 1
388 /*
389  * Some other constants from RFC 4492
390  */
391 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
393 #if defined(MBEDTLS_ECP_RESTARTABLE)
394 
451 void mbedtls_ecp_set_max_ops( unsigned max_ops );
452 
460 #endif /* MBEDTLS_ECP_RESTARTABLE */
461 
462 /*
463  * Get the type of a curve
464  */
465 mbedtls_ecp_curve_type mbedtls_ecp_get_type( const mbedtls_ecp_group *grp );
466 
481 
497 
508 
519 
530 
537 
547 void mbedtls_ecp_group_init( mbedtls_ecp_group *grp );
548 
555 
562 
570 void mbedtls_ecp_group_free( mbedtls_ecp_group *grp );
571 
580 
581 #if defined(MBEDTLS_ECP_RESTARTABLE)
582 
588 void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
589 
597 void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
598 #endif /* MBEDTLS_ECP_RESTARTABLE */
599 
612 
624 int mbedtls_ecp_group_copy( mbedtls_ecp_group *dst,
625  const mbedtls_ecp_group *src );
626 
637 
648 
662  const mbedtls_ecp_point *Q );
663 
677  const char *x, const char *y );
678 
704 int mbedtls_ecp_point_write_binary( const mbedtls_ecp_group *grp,
705  const mbedtls_ecp_point *P,
706  int format, size_t *olen,
707  unsigned char *buf, size_t buflen );
708 
731 int mbedtls_ecp_point_read_binary( const mbedtls_ecp_group *grp,
733  const unsigned char *buf, size_t ilen );
734 
753 int mbedtls_ecp_tls_read_point( const mbedtls_ecp_group *grp,
754  mbedtls_ecp_point *pt,
755  const unsigned char **buf, size_t len );
756 
779 int mbedtls_ecp_tls_write_point( const mbedtls_ecp_group *grp,
780  const mbedtls_ecp_point *pt,
781  int format, size_t *olen,
782  unsigned char *buf, size_t blen );
783 
801 int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id );
802 
820 int mbedtls_ecp_tls_read_group( mbedtls_ecp_group *grp,
821  const unsigned char **buf, size_t len );
822 
842  const unsigned char **buf,
843  size_t len );
862 int mbedtls_ecp_tls_write_group( const mbedtls_ecp_group *grp,
863  size_t *olen,
864  unsigned char *buf, size_t blen );
865 
902 int mbedtls_ecp_mul( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
903  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
904  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
905 
936 int mbedtls_ecp_mul_restartable( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
937  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
938  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
939  mbedtls_ecp_restart_ctx *rs_ctx );
940 
941 #if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
942 
977 int mbedtls_ecp_muladd( mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
978  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
979  const mbedtls_mpi *n, const mbedtls_ecp_point *Q );
980 
1022  mbedtls_ecp_group *grp, mbedtls_ecp_point *R,
1023  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1024  const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1025  mbedtls_ecp_restart_ctx *rs_ctx );
1026 #endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1027 
1055 int mbedtls_ecp_check_pubkey( const mbedtls_ecp_group *grp,
1056  const mbedtls_ecp_point *pt );
1057 
1077 int mbedtls_ecp_check_privkey( const mbedtls_ecp_group *grp,
1078  const mbedtls_mpi *d );
1079 
1095 int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
1096  mbedtls_mpi *d,
1097  int (*f_rng)(void *, unsigned char *, size_t),
1098  void *p_rng );
1099 
1127 int mbedtls_ecp_gen_keypair_base( mbedtls_ecp_group *grp,
1128  const mbedtls_ecp_point *G,
1130  int (*f_rng)(void *, unsigned char *, size_t),
1131  void *p_rng );
1132 
1156 int mbedtls_ecp_gen_keypair( mbedtls_ecp_group *grp, mbedtls_mpi *d,
1157  mbedtls_ecp_point *Q,
1158  int (*f_rng)(void *, unsigned char *, size_t),
1159  void *p_rng );
1160 
1175  int (*f_rng)(void *, unsigned char *, size_t),
1176  void *p_rng );
1177 
1197  const unsigned char *buf, size_t buflen );
1198 
1216  unsigned char *buf, size_t buflen );
1217 
1236  const mbedtls_ecp_keypair *prv );
1237 
1238 #if defined(MBEDTLS_SELF_TEST)
1239 
1246 int mbedtls_ecp_self_test( int verbose );
1247 
1248 #endif /* MBEDTLS_SELF_TEST */
1249 
1250 #ifdef __cplusplus
1251 }
1252 #endif
1253 
1254 #endif /* ecp.h */
uint16_t tls_id
Definition: ecp.h:150
int mbedtls_ecp_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is the point at infinity.
unsigned ops_done
Definition: ecp.h:323
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...
void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx)
Free the components of a restart context.
mbedtls_mpi Z
Definition: ecp.h:170
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_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...
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_curve_type mbedtls_ecp_get_type(const mbedtls_ecp_group *grp)
mbedtls_mpi Y
Definition: ecp.h:169
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_group grp
Definition: ecp.h:376
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
The ECP key-pair structure.
Definition: ecp.h:374
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx)
Initialize a restart context.
int mbedtls_ecp_copy(mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function copies the contents of point Q into point P.
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...
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.
Configuration options (set of defines)
struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx
Internal restart context for multiplication.
Definition: ecp.h:309
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.
void mbedtls_ecp_point_free(mbedtls_ecp_point *pt)
This function frees the components of a point.
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.
void mbedtls_ecp_keypair_init(mbedtls_ecp_keypair *key)
This function initializes a key pair as an invalid one.
mbedtls_mpi X
Definition: ecp.h:168
Multi-precision integer library.
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_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.
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_restart_is_enabled(void)
Check if restart is enabled (max_ops != 0)
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...
struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx
Internal restart context for ecp_muladd()
Definition: ecp.h:316
void mbedtls_ecp_group_free(mbedtls_ecp_group *grp)
This function frees the components of an ECP group.
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.
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.
unsigned depth
Definition: ecp.h:324
int mbedtls_ecp_write_key(mbedtls_ecp_keypair *key, unsigned char *buf, size_t buflen)
This function exports an elliptic curve private key.
void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key)
This function frees the components of a key pair.
struct mbedtls_ecp_keypair mbedtls_ecp_keypair
The ECP key-pair structure.
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_point Q
Definition: ecp.h:378
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
mbedtls_ecp_group_id
Definition: ecp.h:109
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_self_test(int verbose)
The ECP checkup routine.
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_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_group_id grp_id
Definition: ecp.h:149
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...
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_mpi d
Definition: ecp.h:377
int mbedtls_ecp_point_cmp(const mbedtls_ecp_point *P, const mbedtls_ecp_point *Q)
This function compares two points.
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...
MPI structure.
Definition: bignum.h:184
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
mbedtls_ecp_restart_mul_ctx * rsm
Definition: ecp.h:325
General context for resuming ECC operations.
Definition: ecp.h:321
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:166
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_name(const char *name)
This function retrieves curve information from a human-readable name.
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 ...
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.
const char * name
Definition: ecp.h:152
void mbedtls_ecp_set_max_ops(unsigned max_ops)
Set the maximum number of basic operations done in a row.
mbedtls_ecp_restart_muladd_ctx * ma
Definition: ecp.h:326
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.
uint16_t bit_size
Definition: ecp.h:151
mbedtls_ecp_curve_type
Definition: ecp.h:137
void mbedtls_ecp_group_init(mbedtls_ecp_group *grp)
This function initializes an ECP group context without loading any domain parameters.