Mbed TLS v3.5.0
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
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
48#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
50#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
52#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
54#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
56#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
58#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
60#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00
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
85extern "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 */
113typedef enum {
129
133#define MBEDTLS_ECP_DP_MAX 14
134
135/*
136 * Curve types
137 */
138typedef 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
153 uint16_t tls_id;
154 uint16_t bit_size;
155 const char *name;
157
169typedef struct mbedtls_ecp_point {
173}
175
176#if !defined(MBEDTLS_ECP_ALT)
177/*
178 * default Mbed TLS elliptic curve arithmetic implementation
179 *
180 * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
181 * alternative implementation for the whole module and it will replace this
182 * one.)
183 */
184
244typedef struct mbedtls_ecp_group {
256 size_t pbits;
257 size_t nbits;
260 /* End of public fields */
261
262 unsigned int MBEDTLS_PRIVATE(h);
265 int(*MBEDTLS_PRIVATE(t_pre))(mbedtls_ecp_point *, void *);
266 int(*MBEDTLS_PRIVATE(t_post))(mbedtls_ecp_point *, void *);
267 void *MBEDTLS_PRIVATE(t_data);
269 size_t MBEDTLS_PRIVATE(T_size);
270}
272
281#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
282/*
283 * Maximum "window" size used for point multiplication.
284 * Default: a point where higher memory usage yields diminishing performance
285 * returns.
286 * Minimum value: 2. Maximum value: 7.
287 *
288 * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
289 * points used for point multiplication. This value is directly tied to EC
290 * peak memory usage, so decreasing it by one should roughly cut memory usage
291 * by two (if large curves are in use).
292 *
293 * Reduction in size may reduce speed, but larger curves are impacted first.
294 * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
295 * w-size: 6 5 4 3 2
296 * 521 145 141 135 120 97
297 * 384 214 209 198 177 146
298 * 256 320 320 303 262 226
299 * 224 475 475 453 398 342
300 * 192 640 640 633 587 476
301 */
302#define MBEDTLS_ECP_WINDOW_SIZE 4
303#endif /* MBEDTLS_ECP_WINDOW_SIZE */
304
305#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
306/*
307 * Trade code size for speed on fixed-point multiplication.
308 *
309 * This speeds up repeated multiplication of the generator (that is, the
310 * multiplication in ECDSA signatures, and half of the multiplications in
311 * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
312 *
313 * For each n-bit Short Weierstrass curve that is enabled, this adds 4n bytes
314 * of code size if n < 384 and 8n otherwise.
315 *
316 * Change this value to 0 to reduce code size.
317 */
318#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
319#endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
320
323#else /* MBEDTLS_ECP_ALT */
324#include "ecp_alt.h"
325#endif /* MBEDTLS_ECP_ALT */
326
330#if !defined(MBEDTLS_ECP_LIGHT)
331/* Dummy definition to help code that has optional ECP support and
332 * defines an MBEDTLS_ECP_MAX_BYTES-sized array unconditionally. */
333#define MBEDTLS_ECP_MAX_BITS 1
334/* Note: the curves must be listed in DECREASING size! */
335#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
336#define MBEDTLS_ECP_MAX_BITS 521
337#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
338#define MBEDTLS_ECP_MAX_BITS 512
339#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
340#define MBEDTLS_ECP_MAX_BITS 448
341#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
342#define MBEDTLS_ECP_MAX_BITS 384
343#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
344#define MBEDTLS_ECP_MAX_BITS 384
345#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
346#define MBEDTLS_ECP_MAX_BITS 256
347#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
348#define MBEDTLS_ECP_MAX_BITS 256
349#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
350#define MBEDTLS_ECP_MAX_BITS 256
351#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
352#define MBEDTLS_ECP_MAX_BITS 255
353#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
354#define MBEDTLS_ECP_MAX_BITS 225 // n is slightly above 2^224
355#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
356#define MBEDTLS_ECP_MAX_BITS 224
357#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
358#define MBEDTLS_ECP_MAX_BITS 192
359#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
360#define MBEDTLS_ECP_MAX_BITS 192
361#else /* !MBEDTLS_ECP_LIGHT */
362#error "Missing definition of MBEDTLS_ECP_MAX_BITS"
363#endif /* !MBEDTLS_ECP_LIGHT */
364
365#define MBEDTLS_ECP_MAX_BYTES ((MBEDTLS_ECP_MAX_BITS + 7) / 8)
366#define MBEDTLS_ECP_MAX_PT_LEN (2 * MBEDTLS_ECP_MAX_BYTES + 1)
367
368#if defined(MBEDTLS_ECP_RESTARTABLE)
369
375typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
376
382typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
383
387typedef struct {
388 unsigned MBEDTLS_PRIVATE(ops_done);
389 unsigned MBEDTLS_PRIVATE(depth);
390 mbedtls_ecp_restart_mul_ctx *MBEDTLS_PRIVATE(rsm);
391 mbedtls_ecp_restart_muladd_ctx *MBEDTLS_PRIVATE(ma);
393
394/*
395 * Operation counts for restartable functions
396 */
397#define MBEDTLS_ECP_OPS_CHK 3
398#define MBEDTLS_ECP_OPS_DBL 8
399#define MBEDTLS_ECP_OPS_ADD 11
400#define MBEDTLS_ECP_OPS_INV 120
413int mbedtls_ecp_check_budget(const mbedtls_ecp_group *grp,
415 unsigned ops);
416
417/* Utility macro for checking and updating ops budget */
418#define MBEDTLS_ECP_BUDGET(ops) \
419 MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \
420 (unsigned) (ops)));
421
422#else /* MBEDTLS_ECP_RESTARTABLE */
423
424#define MBEDTLS_ECP_BUDGET(ops) /* no-op; for compatibility */
425
426/* We want to declare restartable versions of existing functions anyway */
428
429#endif /* MBEDTLS_ECP_RESTARTABLE */
430
439typedef struct mbedtls_ecp_keypair {
443}
445
450#define MBEDTLS_ECP_PF_UNCOMPRESSED 0
461#define MBEDTLS_ECP_PF_COMPRESSED 1
462
463/*
464 * Some other constants from RFC 4492
465 */
466#define MBEDTLS_ECP_TLS_NAMED_CURVE 3
468#if defined(MBEDTLS_ECP_RESTARTABLE)
532void mbedtls_ecp_set_max_ops(unsigned max_ops);
533
540int mbedtls_ecp_restart_is_enabled(void);
541#endif /* MBEDTLS_ECP_RESTARTABLE */
542
543/*
544 * Get the type of a curve
545 */
547
561
577
588
599
610
617
628
635
642
651
660
661#if defined(MBEDTLS_ECP_RESTARTABLE)
668void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx);
669
677void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx);
678#endif /* MBEDTLS_ECP_RESTARTABLE */
679
692
705 const mbedtls_ecp_group *src);
706
717
728
742 const mbedtls_ecp_point *Q);
743
757 const char *x, const char *y);
758
785 const mbedtls_ecp_point *P,
786 int format, size_t *olen,
787 unsigned char *buf, size_t buflen);
788
816 const unsigned char *buf, size_t ilen);
817
838 const unsigned char **buf, size_t len);
839
863 const mbedtls_ecp_point *pt,
864 int format, size_t *olen,
865 unsigned char *buf, size_t blen);
866
885
904 const unsigned char **buf, size_t len);
905
925 const unsigned char **buf,
926 size_t len);
946 size_t *olen,
947 unsigned char *buf, size_t blen);
948
979 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
980 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng);
981
1013 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1014 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
1015 mbedtls_ecp_restart_ctx *rs_ctx);
1016
1017#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1034{
1035 return grp->A.MBEDTLS_PRIVATE(p) == NULL;
1036}
1037
1074 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1075 const mbedtls_mpi *n, const mbedtls_ecp_point *Q);
1076
1119 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1120 const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1121 mbedtls_ecp_restart_ctx *rs_ctx);
1122#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1123
1152 const mbedtls_ecp_point *pt);
1153
1174 const mbedtls_mpi *d);
1175
1192 mbedtls_mpi *d,
1193 int (*f_rng)(void *, unsigned char *, size_t),
1194 void *p_rng);
1195
1224 const mbedtls_ecp_point *G,
1226 int (*f_rng)(void *, unsigned char *, size_t),
1227 void *p_rng);
1228
1254 int (*f_rng)(void *, unsigned char *, size_t),
1255 void *p_rng);
1256
1271 int (*f_rng)(void *, unsigned char *, size_t),
1272 void *p_rng);
1273
1293 const unsigned char *buf, size_t buflen);
1294
1312 unsigned char *buf, size_t buflen);
1313
1335 const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv,
1336 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng);
1337
1357
1358#if defined(MBEDTLS_SELF_TEST)
1359
1366int mbedtls_ecp_self_test(int verbose);
1367
1368#endif /* MBEDTLS_SELF_TEST */
1369
1370#ifdef __cplusplus
1371}
1372#endif
1373
1374#endif /* ecp.h */
Multi-precision integer library.
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:427
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.
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:138
@ MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
Definition: ecp.h:140
@ MBEDTLS_ECP_TYPE_NONE
Definition: ecp.h:139
@ MBEDTLS_ECP_TYPE_MONTGOMERY
Definition: ecp.h:141
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.
struct mbedtls_ecp_group mbedtls_ecp_group
The ECP group structure.
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.
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_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_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.
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,...
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: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.
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:1033
Build-time configuration info.
Macro wrapper for struct's members.
#define MBEDTLS_PRIVATE(member)
const char * name
Definition: ecp.h:155
mbedtls_ecp_group_id grp_id
Definition: ecp.h:152
uint16_t bit_size
Definition: ecp.h:154
uint16_t tls_id
Definition: ecp.h:153
The ECP group structure.
Definition: ecp.h:244
size_t pbits
Definition: ecp.h:256
mbedtls_ecp_group_id id
Definition: ecp.h:245
mbedtls_mpi N
Definition: ecp.h:255
mbedtls_ecp_point G
Definition: ecp.h:254
mbedtls_mpi B
Definition: ecp.h:252
mbedtls_mpi P
Definition: ecp.h:246
size_t nbits
Definition: ecp.h:257
mbedtls_mpi A
Definition: ecp.h:247
The ECP key-pair structure.
Definition: ecp.h:439
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:169
MPI structure.
Definition: bignum.h:219