Mbed TLS v2.28.7
ecp.h
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1 
17 /*
18  * Copyright The Mbed TLS Contributors
19  * SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later
20  */
21 
22 #ifndef MBEDTLS_ECP_H
23 #define MBEDTLS_ECP_H
24 
25 #if !defined(MBEDTLS_CONFIG_FILE)
26 #include "mbedtls/config.h"
27 #else
28 #include MBEDTLS_CONFIG_FILE
29 #endif
30 
31 #include "mbedtls/bignum.h"
32 
33 #if (defined(__ARMCC_VERSION) || defined(_MSC_VER)) && \
34  !defined(inline) && !defined(__cplusplus)
35 #define inline __inline
36 #endif
37 
38 /*
39  * ECP error codes
40  */
42 #define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
44 #define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
46 #define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
48 #define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
50 #define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
52 #define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
54 #define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
56 #define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
57 
58 /* MBEDTLS_ERR_ECP_HW_ACCEL_FAILED is deprecated and should not be used. */
60 #define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
61 
63 #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
64 
65 /* Flags indicating whether to include code that is specific to certain
66  * types of curves. These flags are for internal library use only. */
67 #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
68  defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
69  defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
70  defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
71  defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
72  defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
73  defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
74  defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
75  defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
76  defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
77  defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
78 #define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
79 #endif
80 #if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
81  defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
82 #define MBEDTLS_ECP_MONTGOMERY_ENABLED
83 #endif
84 
85 #ifdef __cplusplus
86 extern "C" {
87 #endif
88 
98 /* Note: when adding a new curve:
99  * - Add it at the end of this enum, otherwise you'll break the ABI by
100  * changing the numerical value for existing curves.
101  * - Increment MBEDTLS_ECP_DP_MAX below if needed.
102  * - Update the calculation of MBEDTLS_ECP_MAX_BITS_MIN below.
103  * - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to
104  * config.h.
105  * - List the curve as a dependency of MBEDTLS_ECP_C and
106  * MBEDTLS_ECDSA_C if supported in check_config.h.
107  * - Add the curve to the appropriate curve type macro
108  * MBEDTLS_ECP_yyy_ENABLED above.
109  * - Add the necessary definitions to ecp_curves.c.
110  * - Add the curve to the ecp_supported_curves array in ecp.c.
111  * - Add the curve to applicable profiles in x509_crt.c if applicable.
112  */
113 typedef enum {
129 
135 #define MBEDTLS_ECP_DP_MAX 12
136 
137 /*
138  * Curve types
139  */
140 typedef enum {
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 
149 typedef struct mbedtls_ecp_curve_info {
151  uint16_t tls_id;
152  uint16_t bit_size;
153  const char *name;
155 
167 typedef struct mbedtls_ecp_point {
171 }
173 
174 /* Determine the minimum safe value of MBEDTLS_ECP_MAX_BITS. */
175 #if !defined(MBEDTLS_ECP_C)
176 #define MBEDTLS_ECP_MAX_BITS_MIN 0
177 /* Note: the curves must be listed in DECREASING size! */
178 #elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
179 #define MBEDTLS_ECP_MAX_BITS_MIN 521
180 #elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
181 #define MBEDTLS_ECP_MAX_BITS_MIN 512
182 #elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
183 #define MBEDTLS_ECP_MAX_BITS_MIN 448
184 #elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
185 #define MBEDTLS_ECP_MAX_BITS_MIN 384
186 #elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
187 #define MBEDTLS_ECP_MAX_BITS_MIN 384
188 #elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
189 #define MBEDTLS_ECP_MAX_BITS_MIN 256
190 #elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
191 #define MBEDTLS_ECP_MAX_BITS_MIN 256
192 #elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
193 #define MBEDTLS_ECP_MAX_BITS_MIN 256
194 #elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
195 #define MBEDTLS_ECP_MAX_BITS_MIN 255
196 #elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
197 #define MBEDTLS_ECP_MAX_BITS_MIN 225 // n is slightly above 2^224
198 #elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
199 #define MBEDTLS_ECP_MAX_BITS_MIN 224
200 #elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
201 #define MBEDTLS_ECP_MAX_BITS_MIN 192
202 #elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
203 #define MBEDTLS_ECP_MAX_BITS_MIN 192
204 #else
205 #error "MBEDTLS_ECP_C enabled, but no curve?"
206 #endif
207 
208 #if !defined(MBEDTLS_ECP_ALT)
209 /*
210  * default Mbed TLS elliptic curve arithmetic implementation
211  *
212  * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
213  * alternative implementation for the whole module and it will replace this
214  * one.)
215  */
216 
270 typedef struct mbedtls_ecp_group {
282  size_t pbits;
283  size_t nbits;
286  unsigned int h;
287  int (*modp)(mbedtls_mpi *);
289  int (*t_pre)(mbedtls_ecp_point *, void *);
290  int (*t_post)(mbedtls_ecp_point *, void *);
291  void *t_data;
293  size_t T_size;
294 }
296 
305 #if defined(MBEDTLS_ECP_MAX_BITS)
306 
307 #if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
308 #error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
309 #endif
310 
311 #elif defined(MBEDTLS_ECP_C)
315 #define MBEDTLS_ECP_MAX_BITS MBEDTLS_ECP_MAX_BITS_MIN
316 
317 #else
318 /* MBEDTLS_ECP_MAX_BITS is not relevant without MBEDTLS_ECP_C, but set it
319  * to a nonzero value so that code that unconditionally allocates an array
320  * of a size based on it keeps working if built without ECC support. */
321 #define MBEDTLS_ECP_MAX_BITS 1
322 #endif
323 
324 #define MBEDTLS_ECP_MAX_BYTES ((MBEDTLS_ECP_MAX_BITS + 7) / 8)
325 #define MBEDTLS_ECP_MAX_PT_LEN (2 * MBEDTLS_ECP_MAX_BYTES + 1)
326 
327 #if !defined(MBEDTLS_ECP_WINDOW_SIZE)
328 /*
329  * Maximum "window" size used for point multiplication.
330  * Default: a point where higher memory usage yields diminishing performance
331  * returns.
332  * Minimum value: 2. Maximum value: 7.
333  *
334  * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
335  * points used for point multiplication. This value is directly tied to EC
336  * peak memory usage, so decreasing it by one should roughly cut memory usage
337  * by two (if large curves are in use).
338  *
339  * Reduction in size may reduce speed, but larger curves are impacted first.
340  * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
341  * w-size: 6 5 4 3 2
342  * 521 145 141 135 120 97
343  * 384 214 209 198 177 146
344  * 256 320 320 303 262 226
345  * 224 475 475 453 398 342
346  * 192 640 640 633 587 476
347  */
348 #define MBEDTLS_ECP_WINDOW_SIZE 4
349 #endif /* MBEDTLS_ECP_WINDOW_SIZE */
350 
351 #if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
352 /*
353  * Trade memory for speed on fixed-point multiplication.
354  *
355  * This speeds up repeated multiplication of the generator (that is, the
356  * multiplication in ECDSA signatures, and half of the multiplications in
357  * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
358  *
359  * The cost is increasing EC peak memory usage by a factor roughly 2.
360  *
361  * Change this value to 0 to reduce peak memory usage.
362  */
363 #define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
364 #endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
365 
368 #else /* MBEDTLS_ECP_ALT */
369 #include "ecp_alt.h"
370 #endif /* MBEDTLS_ECP_ALT */
371 
372 #if defined(MBEDTLS_ECP_RESTARTABLE)
373 
379 typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
380 
386 typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
387 
391 typedef struct {
392  unsigned ops_done;
393  unsigned depth;
394  mbedtls_ecp_restart_mul_ctx *rsm;
395  mbedtls_ecp_restart_muladd_ctx *ma;
397 
398 /*
399  * Operation counts for restartable functions
400  */
401 #define MBEDTLS_ECP_OPS_CHK 3
402 #define MBEDTLS_ECP_OPS_DBL 8
403 #define MBEDTLS_ECP_OPS_ADD 11
404 #define MBEDTLS_ECP_OPS_INV 120
417 int mbedtls_ecp_check_budget(const mbedtls_ecp_group *grp,
418  mbedtls_ecp_restart_ctx *rs_ctx,
419  unsigned ops);
420 
421 /* Utility macro for checking and updating ops budget */
422 #define MBEDTLS_ECP_BUDGET(ops) \
423  MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \
424  (unsigned) (ops)));
425 
426 #else /* MBEDTLS_ECP_RESTARTABLE */
427 
428 #define MBEDTLS_ECP_BUDGET(ops) /* no-op; for compatibility */
429 
430 /* We want to declare restartable versions of existing functions anyway */
432 
433 #endif /* MBEDTLS_ECP_RESTARTABLE */
434 
443 typedef struct mbedtls_ecp_keypair {
447 }
449 
450 /*
451  * Point formats, from RFC 4492's enum ECPointFormat
452  */
453 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0
454 #define MBEDTLS_ECP_PF_COMPRESSED 1
456 /*
457  * Some other constants from RFC 4492
458  */
459 #define MBEDTLS_ECP_TLS_NAMED_CURVE 3
461 #if defined(MBEDTLS_ECP_RESTARTABLE)
519 void mbedtls_ecp_set_max_ops(unsigned max_ops);
520 
527 int mbedtls_ecp_restart_is_enabled(void);
528 #endif /* MBEDTLS_ECP_RESTARTABLE */
529 
530 /*
531  * Get the type of a curve
532  */
534 
548 
564 
575 
586 
597 
604 
615 
622 
629 
638 
647 
648 #if defined(MBEDTLS_ECP_RESTARTABLE)
655 void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx);
656 
664 void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx);
665 #endif /* MBEDTLS_ECP_RESTARTABLE */
666 
679 
692  const mbedtls_ecp_group *src);
693 
704 
715 
729  const mbedtls_ecp_point *Q);
730 
744  const char *x, const char *y);
745 
772  const mbedtls_ecp_point *P,
773  int format, size_t *olen,
774  unsigned char *buf, size_t buflen);
775 
800  const unsigned char *buf, size_t ilen);
801 
821  mbedtls_ecp_point *pt,
822  const unsigned char **buf, size_t len);
823 
847  const mbedtls_ecp_point *pt,
848  int format, size_t *olen,
849  unsigned char *buf, size_t blen);
850 
869 
888  const unsigned char **buf, size_t len);
889 
909  const unsigned char **buf,
910  size_t len);
930  size_t *olen,
931  unsigned char *buf, size_t blen);
932 
970  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
971  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng);
972 
1004  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1005  int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
1006  mbedtls_ecp_restart_ctx *rs_ctx);
1007 
1008 #if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1025 {
1026  return grp->A.p == NULL;
1027 }
1028 
1065  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1066  const mbedtls_mpi *n, const mbedtls_ecp_point *Q);
1067 
1110  const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1111  const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1112  mbedtls_ecp_restart_ctx *rs_ctx);
1113 #endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1114 
1143  const mbedtls_ecp_point *pt);
1144 
1165  const mbedtls_mpi *d);
1166 
1183  mbedtls_mpi *d,
1184  int (*f_rng)(void *, unsigned char *, size_t),
1185  void *p_rng);
1186 
1215  const mbedtls_ecp_point *G,
1217  int (*f_rng)(void *, unsigned char *, size_t),
1218  void *p_rng);
1219 
1244  mbedtls_ecp_point *Q,
1245  int (*f_rng)(void *, unsigned char *, size_t),
1246  void *p_rng);
1247 
1262  int (*f_rng)(void *, unsigned char *, size_t),
1263  void *p_rng);
1264 
1284  const unsigned char *buf, size_t buflen);
1285 
1303  unsigned char *buf, size_t buflen);
1304 
1323  const mbedtls_ecp_keypair *prv);
1324 
1325 #if defined(MBEDTLS_SELF_TEST)
1326 
1333 int mbedtls_ecp_self_test(int verbose);
1334 
1335 #endif /* MBEDTLS_SELF_TEST */
1336 
1337 #ifdef __cplusplus
1338 }
1339 #endif
1340 
1341 #endif /* ecp.h */
Multi-precision integer library.
Configuration options (set of defines)
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:431
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
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.
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
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...
struct mbedtls_ecp_keypair mbedtls_ecp_keypair
The ECP key-pair structure.
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.
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_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_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_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.
const mbedtls_ecp_curve_info * mbedtls_ecp_curve_info_from_name(const char *name)
This function retrieves curve information from a human-readable name.
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_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_tls_id(uint16_t tls_id)
This function retrieves curve information from a TLS NamedCurve value.
int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt)
This function sets a point to the point at infinity.
struct mbedtls_ecp_curve_info mbedtls_ecp_curve_info
struct mbedtls_ecp_point mbedtls_ecp_point
The ECP point structure, in Jacobian coordinates.
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_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.
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_group_id
Definition: ecp.h:113
@ MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:124
@ MBEDTLS_ECP_DP_SECP384R1
Definition: ecp.h:118
@ MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:127
@ MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:123
@ MBEDTLS_ECP_DP_NONE
Definition: ecp.h:114
@ MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:126
@ MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:122
@ MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:116
@ MBEDTLS_ECP_DP_SECP521R1
Definition: ecp.h:119
@ MBEDTLS_ECP_DP_BP384R1
Definition: ecp.h:121
@ MBEDTLS_ECP_DP_SECP224K1
Definition: ecp.h:125
@ MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:120
@ MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:115
@ MBEDTLS_ECP_DP_SECP256R1
Definition: ecp.h:117
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.
int mbedtls_ecp_self_test(int verbose)
The ECP checkup routine.
static int mbedtls_ecp_group_a_is_minus_3(const mbedtls_ecp_group *grp)
This function checks if domain parameter A of the curve is -3.
Definition: ecp.h:1024
const char * name
Definition: ecp.h:153
mbedtls_ecp_group_id grp_id
Definition: ecp.h:150
uint16_t bit_size
Definition: ecp.h:152
uint16_t tls_id
Definition: ecp.h:151
The ECP group structure.
Definition: ecp.h:270
size_t pbits
Definition: ecp.h:282
int(* t_pre)(mbedtls_ecp_point *, void *)
Definition: ecp.h:289
unsigned int h
Definition: ecp.h:286
mbedtls_ecp_group_id id
Definition: ecp.h:271
size_t T_size
Definition: ecp.h:293
mbedtls_ecp_point * T
Definition: ecp.h:292
mbedtls_mpi N
Definition: ecp.h:281
void * t_data
Definition: ecp.h:291
mbedtls_ecp_point G
Definition: ecp.h:280
int(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:290
mbedtls_mpi B
Definition: ecp.h:278
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:287
mbedtls_mpi P
Definition: ecp.h:272
size_t nbits
Definition: ecp.h:283
mbedtls_mpi A
Definition: ecp.h:273
The ECP key-pair structure.
Definition: ecp.h:443
mbedtls_ecp_point Q
Definition: ecp.h:446
mbedtls_mpi d
Definition: ecp.h:445
mbedtls_ecp_group grp
Definition: ecp.h:444
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:167
mbedtls_mpi Z
Definition: ecp.h:170
mbedtls_mpi X
Definition: ecp.h:168
mbedtls_mpi Y
Definition: ecp.h:169
MPI structure.
Definition: bignum.h:196
mbedtls_mpi_uint * p
Definition: bignum.h:217