mbed TLS v2.28.0
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  */
49 #define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
50 
51 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
52 
53 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
54 
55 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
56 
57 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
58 
59 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
60 
61 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
62 
63 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
64 
65 /* MBEDTLS_ERR_ECP_HW_ACCEL_FAILED is deprecated and should not be used. */
67 #define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
68 
70 #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
71 
72 /* Flags indicating whether to include code that is specific to certain
73  * types of curves. These flags are for internal library use only. */
74 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
75  defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
76  defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
77  defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
78  defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
79  defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
80  defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
81  defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
82  defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
83  defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
84  defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
85 #define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
86 #endif
87 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
88  defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
89 #define MBEDTLS_ECP_MONTGOMERY_ENABLED
90 #endif
91 
92 #ifdef __cplusplus
93 extern "C" {
94 #endif
95 
105 /* Note: when adding a new curve:
106  * - Add it at the end of this enum, otherwise you'll break the ABI by
107  * changing the numerical value for existing curves.
108  * - Increment MBEDTLS_ECP_DP_MAX below if needed.
109  * - Update the calculation of MBEDTLS_ECP_MAX_BITS_MIN below.
110  * - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to
111  * config.h.
112  * - List the curve as a dependency of MBEDTLS_ECP_C and
113  * MBEDTLS_ECDSA_C if supported in check_config.h.
114  * - Add the curve to the appropriate curve type macro
115  * MBEDTLS_ECP_yyy_ENABLED above.
116  * - Add the necessary definitions to ecp_curves.c.
117  * - Add the curve to the ecp_supported_curves array in ecp.c.
118  * - Add the curve to applicable profiles in x509_crt.c if applicable.
119  */
120 typedef enum
121 {
137 
143 #define MBEDTLS_ECP_DP_MAX 12
144 
145 /*
146  * Curve types
147  */
148 typedef enum
149 {
151  MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
152  MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
154 
159 {
161  uint16_t tls_id;
162  uint16_t bit_size;
163  const char *name;
165 
177 typedef struct mbedtls_ecp_point
178 {
182 }
184 
185 /* Determine the minimum safe value of MBEDTLS_ECP_MAX_BITS. */
186 #if !defined(MBEDTLS_ECP_C)
187 #define MBEDTLS_ECP_MAX_BITS_MIN 0
188 /* Note: the curves must be listed in DECREASING size! */
189 #elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
190 #define MBEDTLS_ECP_MAX_BITS_MIN 521
191 #elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
192 #define MBEDTLS_ECP_MAX_BITS_MIN 512
193 #elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
194 #define MBEDTLS_ECP_MAX_BITS_MIN 448
195 #elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
196 #define MBEDTLS_ECP_MAX_BITS_MIN 384
197 #elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
198 #define MBEDTLS_ECP_MAX_BITS_MIN 384
199 #elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
200 #define MBEDTLS_ECP_MAX_BITS_MIN 256
201 #elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
202 #define MBEDTLS_ECP_MAX_BITS_MIN 256
203 #elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
204 #define MBEDTLS_ECP_MAX_BITS_MIN 256
205 #elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
206 #define MBEDTLS_ECP_MAX_BITS_MIN 255
207 #elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
208 #define MBEDTLS_ECP_MAX_BITS_MIN 225 // n is slightly above 2^224
209 #elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
210 #define MBEDTLS_ECP_MAX_BITS_MIN 224
211 #elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
212 #define MBEDTLS_ECP_MAX_BITS_MIN 192
213 #elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
214 #define MBEDTLS_ECP_MAX_BITS_MIN 192
215 #else
216 #error "MBEDTLS_ECP_C enabled, but no curve?"
217 #endif
218 
219 #if !defined(MBEDTLS_ECP_ALT)
220 /*
221  * default mbed TLS elliptic curve arithmetic implementation
222  *
223  * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
224  * alternative implementation for the whole module and it will replace this
225  * one.)
226  */
227 
260 typedef struct mbedtls_ecp_group
261 {
270  size_t pbits;
271  size_t nbits;
274  unsigned int h;
275  int (*modp)(mbedtls_mpi *);
277  int (*t_pre)(mbedtls_ecp_point *, void *);
278  int (*t_post)(mbedtls_ecp_point *, void *);
279  void *t_data;
281  size_t T_size;
282 }
284 
293 #if defined(MBEDTLS_ECP_MAX_BITS)
294 
295 #if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
296 #error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
297 #endif
298 
299 #elif defined(MBEDTLS_ECP_C)
300 
303 #define MBEDTLS_ECP_MAX_BITS MBEDTLS_ECP_MAX_BITS_MIN
304 
305 #else
306 /* MBEDTLS_ECP_MAX_BITS is not relevant without MBEDTLS_ECP_C, but set it
307  * to a nonzero value so that code that unconditionally allocates an array
308  * of a size based on it keeps working if built without ECC support. */
309 #define MBEDTLS_ECP_MAX_BITS 1
310 #endif
311 
312 #define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
313 #define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
314 
315 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
316 /*
317  * Maximum "window" size used for point multiplication.
318  * Default: a point where higher memory usage yields disminishing performance
319  * returns.
320  * Minimum value: 2. Maximum value: 7.
321  *
322  * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
323  * points used for point multiplication. This value is directly tied to EC
324  * peak memory usage, so decreasing it by one should roughly cut memory usage
325  * by two (if large curves are in use).
326  *
327  * Reduction in size may reduce speed, but larger curves are impacted first.
328  * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
329  * w-size: 6 5 4 3 2
330  * 521 145 141 135 120 97
331  * 384 214 209 198 177 146
332  * 256 320 320 303 262 226
333  * 224 475 475 453 398 342
334  * 192 640 640 633 587 476
335  */
336 #define MBEDTLS_ECP_WINDOW_SIZE 4
337 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
338 
339 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
340 /*
341  * Trade memory for speed on fixed-point multiplication.
342  *
343  * This speeds up repeated multiplication of the generator (that is, the
344  * multiplication in ECDSA signatures, and half of the multiplications in
345  * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
346  *
347  * The cost is increasing EC peak memory usage by a factor roughly 2.
348  *
349  * Change this value to 0 to reduce peak memory usage.
350  */
351 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
352 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
353 
354 /* \} name SECTION: Module settings */
355 
356 #else /* MBEDTLS_ECP_ALT */
357 #include "ecp_alt.h"
358 #endif /* MBEDTLS_ECP_ALT */
359 
360 #if defined(MBEDTLS_ECP_RESTARTABLE)
361 
367 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
368 
374 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
375 
379 typedef struct
380 {
381  unsigned ops_done;
382  unsigned depth;
383  mbedtls_ecp_restart_mul_ctx *rsm;
384  mbedtls_ecp_restart_muladd_ctx *ma;
386 
387 /*
388  * Operation counts for restartable functions
389  */
390 #define MBEDTLS_ECP_OPS_CHK 3
391 #define MBEDTLS_ECP_OPS_DBL 8
392 #define MBEDTLS_ECP_OPS_ADD 11
393 #define MBEDTLS_ECP_OPS_INV 120
406 int mbedtls_ecp_check_budget( const mbedtls_ecp_group *grp,
407  mbedtls_ecp_restart_ctx *rs_ctx,
408  unsigned ops );
409 
410 /* Utility macro for checking and updating ops budget */
411 #define MBEDTLS_ECP_BUDGET( ops ) \
412  MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, rs_ctx, \
413  (unsigned) (ops) ) );
414 
415 #else /* MBEDTLS_ECP_RESTARTABLE */
416 
417 #define MBEDTLS_ECP_BUDGET( ops ) /* no-op; for compatibility */
418 
419 /* We want to declare restartable versions of existing functions anyway */
421 
422 #endif /* MBEDTLS_ECP_RESTARTABLE */
423 
432 typedef struct mbedtls_ecp_keypair
433 {
437 }
439 
440 /*
441  * Point formats, from RFC 4492's enum ECPointFormat
442  */
443 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
444 #define MBEDTLS_ECP_PF_COMPRESSED 1
446 /*
447  * Some other constants from RFC 4492
448  */
449 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
451 #if defined(MBEDTLS_ECP_RESTARTABLE)
452 
509 void mbedtls_ecp_set_max_ops( unsigned max_ops );
510 
517 int mbedtls_ecp_restart_is_enabled( void );
518 #endif /* MBEDTLS_ECP_RESTARTABLE */
519 
520 /*
521  * Get the type of a curve
522  */
524 
538 
554 
565 
576 
587 
594 
605 
612 
619 
628 
637 
638 #if defined(MBEDTLS_ECP_RESTARTABLE)
639 
645 void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx *ctx );
646 
654 void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx *ctx );
655 #endif /* MBEDTLS_ECP_RESTARTABLE */
656 
669 
682  const mbedtls_ecp_group *src );
683 
694 
705 
719  const mbedtls_ecp_point *Q );
720 
734  const char *x, const char *y );
735 
762  const mbedtls_ecp_point *P,
763  int format, size_t *olen,
764  unsigned char *buf, size_t buflen );
765 
790  const unsigned char *buf, size_t ilen );
791 
811  mbedtls_ecp_point *pt,
812  const unsigned char **buf, size_t len );
813 
837  const mbedtls_ecp_point *pt,
838  int format, size_t *olen,
839  unsigned char *buf, size_t blen );
840 
859 
878  const unsigned char **buf, size_t len );
879 
899  const unsigned char **buf,
900  size_t len );
920  size_t *olen,
921  unsigned char *buf, size_t blen );
922 
960  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
961  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
962 
994  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
995  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
996  mbedtls_ecp_restart_ctx *rs_ctx );
997 
998 #if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
999 
1035  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1036  const mbedtls_mpi *n, const mbedtls_ecp_point *Q );
1037 
1080  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1081  const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1082  mbedtls_ecp_restart_ctx *rs_ctx );
1083 #endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1084 
1113  const mbedtls_ecp_point *pt );
1114 
1135  const mbedtls_mpi *d );
1136 
1153  mbedtls_mpi *d,
1154  int (*f_rng)(void *, unsigned char *, size_t),
1155  void *p_rng );
1156 
1185  const mbedtls_ecp_point *G,
1187  int (*f_rng)(void *, unsigned char *, size_t),
1188  void *p_rng );
1189 
1214  mbedtls_ecp_point *Q,
1215  int (*f_rng)(void *, unsigned char *, size_t),
1216  void *p_rng );
1217 
1232  int (*f_rng)(void *, unsigned char *, size_t),
1233  void *p_rng );
1234 
1254  const unsigned char *buf, size_t buflen );
1255 
1273  unsigned char *buf, size_t buflen );
1274 
1293  const mbedtls_ecp_keypair *prv );
1294 
1295 #if defined(MBEDTLS_SELF_TEST)
1296 
1303 int mbedtls_ecp_self_test( int verbose );
1304 
1305 #endif /* MBEDTLS_SELF_TEST */
1306 
1307 #ifdef __cplusplus
1308 }
1309 #endif
1310 
1311 #endif /* ecp.h */
uint16_t tls_id
Definition: ecp.h:161
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:275
int mbedtls_ecp_is_zero(mbedtls_ecp_point *pt)
This function checks if a point is the point at infinity.
mbedtls_mpi N
Definition: ecp.h:269
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(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:278
mbedtls_mpi Z
Definition: ecp.h:181
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:180
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:434
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
The ECP key-pair structure.
Definition: ecp.h:432
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
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)
size_t nbits
Definition: ecp.h:271
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
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.
size_t pbits
Definition: ecp.h:270
mbedtls_mpi X
Definition: ecp.h:179
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.
The ECP group structure.
Definition: ecp.h:260
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 id
Definition: ecp.h:262
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_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...
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.
mbedtls_mpi A
Definition: ecp.h:264
mbedtls_mpi P
Definition: ecp.h:263
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...
void mbedtls_ecp_restart_ctx
Definition: ecp.h:420
mbedtls_ecp_point Q
Definition: ecp.h:436
void * t_data
Definition: ecp.h:279
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
mbedtls_ecp_group_id
Definition: ecp.h:120
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:160
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:435
unsigned int h
Definition: ecp.h:274
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...
size_t T_size
Definition: ecp.h:281
mbedtls_ecp_point * T
Definition: ecp.h:280
mbedtls_ecp_point G
Definition: ecp.h:268
MPI structure.
Definition: bignum.h:192
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:177
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:163
int(* t_pre)(mbedtls_ecp_point *, void *)
Definition: ecp.h:277
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:162
mbedtls_mpi B
Definition: ecp.h:266
mbedtls_ecp_curve_type
Definition: ecp.h:148
void mbedtls_ecp_group_init(mbedtls_ecp_group *grp)
This function initializes an ECP group context without loading any domain parameters.