mbed TLS v3.4.0
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 #include "mbedtls/private_access.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
47 
48 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
49 
50 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
51 
52 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
53 
54 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
55 
56 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
57 
58 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
59 
60 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
61 
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
85 extern "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  */
113 typedef enum {
129 
133 #define MBEDTLS_ECP_DP_MAX 14
134 
135 /*
136  * Curve types
137  */
138 typedef enum {
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 
144 /*
145  * Curve modulus types
146  */
147 typedef enum {
152 
160 typedef struct mbedtls_ecp_curve_info {
162  uint16_t tls_id;
163  uint16_t bit_size;
164  const char *name;
166 
178 typedef struct mbedtls_ecp_point {
182 }
184 
185 #if !defined(MBEDTLS_ECP_ALT)
186 /*
187  * default mbed TLS elliptic curve arithmetic implementation
188  *
189  * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
190  * alternative implementation for the whole module and it will replace this
191  * one.)
192  */
193 
232 typedef struct mbedtls_ecp_group {
241  size_t pbits;
242  size_t nbits;
245  /* End of public fields */
246 
247  unsigned int MBEDTLS_PRIVATE(h);
248  int(*MBEDTLS_PRIVATE(modp))(mbedtls_mpi *);
250  int(*MBEDTLS_PRIVATE(t_pre))(mbedtls_ecp_point *, void *);
251  int(*MBEDTLS_PRIVATE(t_post))(mbedtls_ecp_point *, void *);
252  void *MBEDTLS_PRIVATE(t_data);
254  size_t MBEDTLS_PRIVATE(T_size);
255 }
257 
266 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
267 /*
268  * Maximum "window" size used for point multiplication.
269  * Default: a point where higher memory usage yields diminishing performance
270  * returns.
271  * Minimum value: 2. Maximum value: 7.
272  *
273  * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
274  * points used for point multiplication. This value is directly tied to EC
275  * peak memory usage, so decreasing it by one should roughly cut memory usage
276  * by two (if large curves are in use).
277  *
278  * Reduction in size may reduce speed, but larger curves are impacted first.
279  * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
280  * w-size: 6 5 4 3 2
281  * 521 145 141 135 120 97
282  * 384 214 209 198 177 146
283  * 256 320 320 303 262 226
284  * 224 475 475 453 398 342
285  * 192 640 640 633 587 476
286  */
287 #define MBEDTLS_ECP_WINDOW_SIZE 4
288 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
289 
290 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
291 /*
292  * Trade code size for speed on fixed-point multiplication.
293  *
294  * This speeds up repeated multiplication of the generator (that is, the
295  * multiplication in ECDSA signatures, and half of the multiplications in
296  * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
297  *
298  * For each n-bit Short Weierstrass curve that is enabled, this adds 4n bytes
299  * of code size if n < 384 and 8n otherwise.
300  *
301  * Change this value to 0 to reduce code size.
302  */
303 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
304 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
305 
308 #else /* MBEDTLS_ECP_ALT */
309 #include "ecp_alt.h"
310 #endif /* MBEDTLS_ECP_ALT */
311 
315 #if !defined(MBEDTLS_ECP_C)
316 /* Dummy definition to help code that has optional ECP support and
317  * defines an MBEDTLS_ECP_MAX_BYTES-sized array unconditionally. */
318 #define MBEDTLS_ECP_MAX_BITS 1
319 /* Note: the curves must be listed in DECREASING size! */
320 #elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
321 #define MBEDTLS_ECP_MAX_BITS 521
322 #elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
323 #define MBEDTLS_ECP_MAX_BITS 512
324 #elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
325 #define MBEDTLS_ECP_MAX_BITS 448
326 #elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
327 #define MBEDTLS_ECP_MAX_BITS 384
328 #elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
329 #define MBEDTLS_ECP_MAX_BITS 384
330 #elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
331 #define MBEDTLS_ECP_MAX_BITS 256
332 #elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
333 #define MBEDTLS_ECP_MAX_BITS 256
334 #elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
335 #define MBEDTLS_ECP_MAX_BITS 256
336 #elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
337 #define MBEDTLS_ECP_MAX_BITS 255
338 #elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
339 #define MBEDTLS_ECP_MAX_BITS 225 // n is slightly above 2^224
340 #elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
341 #define MBEDTLS_ECP_MAX_BITS 224
342 #elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
343 #define MBEDTLS_ECP_MAX_BITS 192
344 #elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
345 #define MBEDTLS_ECP_MAX_BITS 192
346 #else
347 #error "Missing definition of MBEDTLS_ECP_MAX_BITS"
348 #endif
349 
350 #define MBEDTLS_ECP_MAX_BYTES ((MBEDTLS_ECP_MAX_BITS + 7) / 8)
351 #define MBEDTLS_ECP_MAX_PT_LEN (2 * MBEDTLS_ECP_MAX_BYTES + 1)
352 
353 #if defined(MBEDTLS_ECP_RESTARTABLE)
354 
360 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
361 
367 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
368 
372 typedef struct {
373  unsigned MBEDTLS_PRIVATE(ops_done);
374  unsigned MBEDTLS_PRIVATE(depth);
375  mbedtls_ecp_restart_mul_ctx *MBEDTLS_PRIVATE(rsm);
376  mbedtls_ecp_restart_muladd_ctx *MBEDTLS_PRIVATE(ma);
378 
379 /*
380  * Operation counts for restartable functions
381  */
382 #define MBEDTLS_ECP_OPS_CHK 3
383 #define MBEDTLS_ECP_OPS_DBL 8
384 #define MBEDTLS_ECP_OPS_ADD 11
385 #define MBEDTLS_ECP_OPS_INV 120
398 int mbedtls_ecp_check_budget(const mbedtls_ecp_group *grp,
399  mbedtls_ecp_restart_ctx *rs_ctx,
400  unsigned ops);
401 
402 /* Utility macro for checking and updating ops budget */
403 #define MBEDTLS_ECP_BUDGET(ops) \
404  MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \
405  (unsigned) (ops)));
406 
407 #else /* MBEDTLS_ECP_RESTARTABLE */
408 
409 #define MBEDTLS_ECP_BUDGET(ops) /* no-op; for compatibility */
410 
411 /* We want to declare restartable versions of existing functions anyway */
413 
414 #endif /* MBEDTLS_ECP_RESTARTABLE */
415 
424 typedef struct mbedtls_ecp_keypair {
428 }
430 
435 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
436 
446 #define MBEDTLS_ECP_PF_COMPRESSED 1
447 
448 /*
449  * Some other constants from RFC 4492
450  */
451 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
453 #if defined(MBEDTLS_ECP_RESTARTABLE)
454 
517 void mbedtls_ecp_set_max_ops(unsigned max_ops);
518 
525 int mbedtls_ecp_restart_is_enabled(void);
526 #endif /* MBEDTLS_ECP_RESTARTABLE */
527 
528 /*
529  * Get the type of a curve
530  */
532 
546 
562 
573 
584 
595 
602 
613 
620 
627 
636 
645 
646 #if defined(MBEDTLS_ECP_RESTARTABLE)
647 
653 void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx);
654 
662 void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx);
663 #endif /* MBEDTLS_ECP_RESTARTABLE */
664 
677 
690  const mbedtls_ecp_group *src);
691 
702 
713 
727  const mbedtls_ecp_point *Q);
728 
742  const char *x, const char *y);
743 
770  const mbedtls_ecp_point *P,
771  int format, size_t *olen,
772  unsigned char *buf, size_t buflen);
773 
801  const unsigned char *buf, size_t ilen);
802 
822  mbedtls_ecp_point *pt,
823  const unsigned char **buf, size_t len);
824 
848  const mbedtls_ecp_point *pt,
849  int format, size_t *olen,
850  unsigned char *buf, size_t blen);
851 
870 
889  const unsigned char **buf, size_t len);
890 
910  const unsigned char **buf,
911  size_t len);
931  size_t *olen,
932  unsigned char *buf, size_t blen);
933 
964  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
965  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng);
966 
998  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
999  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
1000  mbedtls_ecp_restart_ctx *rs_ctx);
1001 
1002 #if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1003 
1039  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1040  const mbedtls_mpi *n, const mbedtls_ecp_point *Q);
1041 
1084  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1085  const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1086  mbedtls_ecp_restart_ctx *rs_ctx);
1087 #endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1088 
1117  const mbedtls_ecp_point *pt);
1118 
1139  const mbedtls_mpi *d);
1140 
1157  mbedtls_mpi *d,
1158  int (*f_rng)(void *, unsigned char *, size_t),
1159  void *p_rng);
1160 
1189  const mbedtls_ecp_point *G,
1191  int (*f_rng)(void *, unsigned char *, size_t),
1192  void *p_rng);
1193 
1218  mbedtls_ecp_point *Q,
1219  int (*f_rng)(void *, unsigned char *, size_t),
1220  void *p_rng);
1221 
1236  int (*f_rng)(void *, unsigned char *, size_t),
1237  void *p_rng);
1238 
1258  const unsigned char *buf, size_t buflen);
1259 
1277  unsigned char *buf, size_t buflen);
1278 
1300  const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv,
1301  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng);
1302 
1322 
1323 #if defined(MBEDTLS_SELF_TEST)
1324 
1331 int mbedtls_ecp_self_test(int verbose);
1332 
1333 #endif /* MBEDTLS_SELF_TEST */
1334 
1335 #ifdef __cplusplus
1336 }
1337 #endif
1338 
1339 #endif /* ecp.h */
uint16_t tls_id
Definition: ecp.h:162
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:240
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_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_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)
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 ...
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
The ECP key-pair structure.
Definition: ecp.h:424
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...
#define MBEDTLS_PRIVATE(member)
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.
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.
size_t nbits
Definition: ecp.h:242
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:241
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:232
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:233
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.
mbedtls_ecp_modulus_type
Definition: ecp.h:147
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:235
mbedtls_mpi P
Definition: ecp.h:234
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.
Macro wrapper for struct's members.
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:412
void mbedtls_ecp_point_init(mbedtls_ecp_point *pt)
This function initializes a point as zero.
mbedtls_ecp_group_id
Definition: ecp.h:113
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_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_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.
Build-time configuration info.
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:161
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.
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...
mbedtls_ecp_point G
Definition: ecp.h:239
MPI structure.
Definition: bignum.h:205
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:178
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:164
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:163
mbedtls_mpi B
Definition: ecp.h:237
mbedtls_ecp_curve_type
Definition: ecp.h:138
void mbedtls_ecp_group_init(mbedtls_ecp_group *grp)
This function initializes an ECP group context without loading any domain parameters.