Mbed TLS v2.28.5
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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#if (defined(__ARMCC_VERSION) || defined(_MSC_VER)) && \
46 !defined(inline) && !defined(__cplusplus)
47#define inline __inline
48#endif
49
50/*
51 * ECP error codes
52 */
54#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
56#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
58#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
60#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
62#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
64#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
66#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
68#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
69
70/* MBEDTLS_ERR_ECP_HW_ACCEL_FAILED is deprecated and should not be used. */
72#define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80
73
75#define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00
76
77/* Flags indicating whether to include code that is specific to certain
78 * types of curves. These flags are for internal library use only. */
79#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
80 defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
81 defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
82 defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
83 defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
84 defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
85 defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
86 defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
87 defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
88 defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
89 defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
90#define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED
91#endif
92#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \
93 defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
94#define MBEDTLS_ECP_MONTGOMERY_ENABLED
95#endif
96
97#ifdef __cplusplus
98extern "C" {
99#endif
100
110/* Note: when adding a new curve:
111 * - Add it at the end of this enum, otherwise you'll break the ABI by
112 * changing the numerical value for existing curves.
113 * - Increment MBEDTLS_ECP_DP_MAX below if needed.
114 * - Update the calculation of MBEDTLS_ECP_MAX_BITS_MIN below.
115 * - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to
116 * config.h.
117 * - List the curve as a dependency of MBEDTLS_ECP_C and
118 * MBEDTLS_ECDSA_C if supported in check_config.h.
119 * - Add the curve to the appropriate curve type macro
120 * MBEDTLS_ECP_yyy_ENABLED above.
121 * - Add the necessary definitions to ecp_curves.c.
122 * - Add the curve to the ecp_supported_curves array in ecp.c.
123 * - Add the curve to applicable profiles in x509_crt.c if applicable.
124 */
125typedef enum {
141
147#define MBEDTLS_ECP_DP_MAX 12
148
149/*
150 * Curve types
151 */
152typedef enum {
154 MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
155 MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
157
163 uint16_t tls_id;
164 uint16_t bit_size;
165 const char *name;
167
179typedef struct mbedtls_ecp_point {
183}
185
186/* Determine the minimum safe value of MBEDTLS_ECP_MAX_BITS. */
187#if !defined(MBEDTLS_ECP_C)
188#define MBEDTLS_ECP_MAX_BITS_MIN 0
189/* Note: the curves must be listed in DECREASING size! */
190#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
191#define MBEDTLS_ECP_MAX_BITS_MIN 521
192#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
193#define MBEDTLS_ECP_MAX_BITS_MIN 512
194#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
195#define MBEDTLS_ECP_MAX_BITS_MIN 448
196#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
197#define MBEDTLS_ECP_MAX_BITS_MIN 384
198#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
199#define MBEDTLS_ECP_MAX_BITS_MIN 384
200#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
201#define MBEDTLS_ECP_MAX_BITS_MIN 256
202#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
203#define MBEDTLS_ECP_MAX_BITS_MIN 256
204#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
205#define MBEDTLS_ECP_MAX_BITS_MIN 256
206#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
207#define MBEDTLS_ECP_MAX_BITS_MIN 255
208#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
209#define MBEDTLS_ECP_MAX_BITS_MIN 225 // n is slightly above 2^224
210#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
211#define MBEDTLS_ECP_MAX_BITS_MIN 224
212#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
213#define MBEDTLS_ECP_MAX_BITS_MIN 192
214#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
215#define MBEDTLS_ECP_MAX_BITS_MIN 192
216#else
217#error "MBEDTLS_ECP_C enabled, but no curve?"
218#endif
219
220#if !defined(MBEDTLS_ECP_ALT)
221/*
222 * default Mbed TLS elliptic curve arithmetic implementation
223 *
224 * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
225 * alternative implementation for the whole module and it will replace this
226 * one.)
227 */
228
282typedef struct mbedtls_ecp_group {
294 size_t pbits;
295 size_t nbits;
298 unsigned int h;
299 int (*modp)(mbedtls_mpi *);
301 int (*t_pre)(mbedtls_ecp_point *, void *);
302 int (*t_post)(mbedtls_ecp_point *, void *);
303 void *t_data;
305 size_t T_size;
306}
308
317#if defined(MBEDTLS_ECP_MAX_BITS)
318
319#if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
320#error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
321#endif
322
323#elif defined(MBEDTLS_ECP_C)
327#define MBEDTLS_ECP_MAX_BITS MBEDTLS_ECP_MAX_BITS_MIN
328
329#else
330/* MBEDTLS_ECP_MAX_BITS is not relevant without MBEDTLS_ECP_C, but set it
331 * to a nonzero value so that code that unconditionally allocates an array
332 * of a size based on it keeps working if built without ECC support. */
333#define MBEDTLS_ECP_MAX_BITS 1
334#endif
335
336#define MBEDTLS_ECP_MAX_BYTES ((MBEDTLS_ECP_MAX_BITS + 7) / 8)
337#define MBEDTLS_ECP_MAX_PT_LEN (2 * MBEDTLS_ECP_MAX_BYTES + 1)
338
339#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
340/*
341 * Maximum "window" size used for point multiplication.
342 * Default: a point where higher memory usage yields diminishing performance
343 * returns.
344 * Minimum value: 2. Maximum value: 7.
345 *
346 * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
347 * points used for point multiplication. This value is directly tied to EC
348 * peak memory usage, so decreasing it by one should roughly cut memory usage
349 * by two (if large curves are in use).
350 *
351 * Reduction in size may reduce speed, but larger curves are impacted first.
352 * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
353 * w-size: 6 5 4 3 2
354 * 521 145 141 135 120 97
355 * 384 214 209 198 177 146
356 * 256 320 320 303 262 226
357 * 224 475 475 453 398 342
358 * 192 640 640 633 587 476
359 */
360#define MBEDTLS_ECP_WINDOW_SIZE 4
361#endif /* MBEDTLS_ECP_WINDOW_SIZE */
362
363#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
364/*
365 * Trade memory for speed on fixed-point multiplication.
366 *
367 * This speeds up repeated multiplication of the generator (that is, the
368 * multiplication in ECDSA signatures, and half of the multiplications in
369 * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
370 *
371 * The cost is increasing EC peak memory usage by a factor roughly 2.
372 *
373 * Change this value to 0 to reduce peak memory usage.
374 */
375#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
376#endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
377
380#else /* MBEDTLS_ECP_ALT */
381#include "ecp_alt.h"
382#endif /* MBEDTLS_ECP_ALT */
383
384#if defined(MBEDTLS_ECP_RESTARTABLE)
385
391typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
392
398typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
399
403typedef struct {
404 unsigned ops_done;
405 unsigned depth;
406 mbedtls_ecp_restart_mul_ctx *rsm;
407 mbedtls_ecp_restart_muladd_ctx *ma;
409
410/*
411 * Operation counts for restartable functions
412 */
413#define MBEDTLS_ECP_OPS_CHK 3
414#define MBEDTLS_ECP_OPS_DBL 8
415#define MBEDTLS_ECP_OPS_ADD 11
416#define MBEDTLS_ECP_OPS_INV 120
429int mbedtls_ecp_check_budget(const mbedtls_ecp_group *grp,
431 unsigned ops);
432
433/* Utility macro for checking and updating ops budget */
434#define MBEDTLS_ECP_BUDGET(ops) \
435 MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \
436 (unsigned) (ops)));
437
438#else /* MBEDTLS_ECP_RESTARTABLE */
439
440#define MBEDTLS_ECP_BUDGET(ops) /* no-op; for compatibility */
441
442/* We want to declare restartable versions of existing functions anyway */
444
445#endif /* MBEDTLS_ECP_RESTARTABLE */
446
455typedef struct mbedtls_ecp_keypair {
459}
461
462/*
463 * Point formats, from RFC 4492's enum ECPointFormat
464 */
465#define MBEDTLS_ECP_PF_UNCOMPRESSED 0
466#define MBEDTLS_ECP_PF_COMPRESSED 1
468/*
469 * Some other constants from RFC 4492
470 */
471#define MBEDTLS_ECP_TLS_NAMED_CURVE 3
473#if defined(MBEDTLS_ECP_RESTARTABLE)
531void mbedtls_ecp_set_max_ops(unsigned max_ops);
532
539int mbedtls_ecp_restart_is_enabled(void);
540#endif /* MBEDTLS_ECP_RESTARTABLE */
541
542/*
543 * Get the type of a curve
544 */
546
560
576
587
598
609
616
627
634
641
650
659
660#if defined(MBEDTLS_ECP_RESTARTABLE)
667void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx);
668
676void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx);
677#endif /* MBEDTLS_ECP_RESTARTABLE */
678
691
704 const mbedtls_ecp_group *src);
705
716
727
741 const mbedtls_ecp_point *Q);
742
756 const char *x, const char *y);
757
784 const mbedtls_ecp_point *P,
785 int format, size_t *olen,
786 unsigned char *buf, size_t buflen);
787
812 const unsigned char *buf, size_t ilen);
813
834 const unsigned char **buf, size_t len);
835
859 const mbedtls_ecp_point *pt,
860 int format, size_t *olen,
861 unsigned char *buf, size_t blen);
862
881
900 const unsigned char **buf, size_t len);
901
921 const unsigned char **buf,
922 size_t len);
942 size_t *olen,
943 unsigned char *buf, size_t blen);
944
982 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
983 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng);
984
1016 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1017 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
1018 mbedtls_ecp_restart_ctx *rs_ctx);
1019
1020#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1037{
1038 return grp->A.p == NULL;
1039}
1040
1077 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1078 const mbedtls_mpi *n, const mbedtls_ecp_point *Q);
1079
1122 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1123 const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1124 mbedtls_ecp_restart_ctx *rs_ctx);
1125#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1126
1155 const mbedtls_ecp_point *pt);
1156
1177 const mbedtls_mpi *d);
1178
1195 mbedtls_mpi *d,
1196 int (*f_rng)(void *, unsigned char *, size_t),
1197 void *p_rng);
1198
1227 const mbedtls_ecp_point *G,
1229 int (*f_rng)(void *, unsigned char *, size_t),
1230 void *p_rng);
1231
1257 int (*f_rng)(void *, unsigned char *, size_t),
1258 void *p_rng);
1259
1274 int (*f_rng)(void *, unsigned char *, size_t),
1275 void *p_rng);
1276
1296 const unsigned char *buf, size_t buflen);
1297
1315 unsigned char *buf, size_t buflen);
1316
1335 const mbedtls_ecp_keypair *prv);
1336
1337#if defined(MBEDTLS_SELF_TEST)
1338
1345int mbedtls_ecp_self_test(int verbose);
1346
1347#endif /* MBEDTLS_SELF_TEST */
1348
1349#ifdef __cplusplus
1350}
1351#endif
1352
1353#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:443
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:152
@ MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
Definition: ecp.h:154
@ MBEDTLS_ECP_TYPE_NONE
Definition: ecp.h:153
@ MBEDTLS_ECP_TYPE_MONTGOMERY
Definition: ecp.h:155
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_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_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_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:125
@ MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:136
@ MBEDTLS_ECP_DP_SECP384R1
Definition: ecp.h:130
@ MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:139
@ MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:135
@ MBEDTLS_ECP_DP_NONE
Definition: ecp.h:126
@ MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:138
@ MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:134
@ MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:128
@ MBEDTLS_ECP_DP_SECP521R1
Definition: ecp.h:131
@ MBEDTLS_ECP_DP_BP384R1
Definition: ecp.h:133
@ MBEDTLS_ECP_DP_SECP224K1
Definition: ecp.h:137
@ MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:132
@ MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:127
@ MBEDTLS_ECP_DP_SECP256R1
Definition: ecp.h:129
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.
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:1036
const char * name
Definition: ecp.h:165
mbedtls_ecp_group_id grp_id
Definition: ecp.h:162
uint16_t bit_size
Definition: ecp.h:164
uint16_t tls_id
Definition: ecp.h:163
The ECP group structure.
Definition: ecp.h:282
size_t pbits
Definition: ecp.h:294
int(* t_pre)(mbedtls_ecp_point *, void *)
Definition: ecp.h:301
unsigned int h
Definition: ecp.h:298
mbedtls_ecp_group_id id
Definition: ecp.h:283
size_t T_size
Definition: ecp.h:305
mbedtls_ecp_point * T
Definition: ecp.h:304
mbedtls_mpi N
Definition: ecp.h:293
void * t_data
Definition: ecp.h:303
mbedtls_ecp_point G
Definition: ecp.h:292
int(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:302
mbedtls_mpi B
Definition: ecp.h:290
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:299
mbedtls_mpi P
Definition: ecp.h:284
size_t nbits
Definition: ecp.h:295
mbedtls_mpi A
Definition: ecp.h:285
The ECP key-pair structure.
Definition: ecp.h:455
mbedtls_ecp_point Q
Definition: ecp.h:458
mbedtls_mpi d
Definition: ecp.h:457
mbedtls_ecp_group grp
Definition: ecp.h:456
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:179
mbedtls_mpi Z
Definition: ecp.h:182
mbedtls_mpi X
Definition: ecp.h:180
mbedtls_mpi Y
Definition: ecp.h:181
MPI structure.
Definition: bignum.h:208
mbedtls_mpi_uint * p
Definition: bignum.h:229