mbed TLS v2.28.3
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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/*
46 * ECP error codes
47 */
49#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80
51#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00
53#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80
55#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00
57#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80
59#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00
61#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80
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
93extern "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 */
120typedef enum {
136
142#define MBEDTLS_ECP_DP_MAX 12
143
144/*
145 * Curve types
146 */
147typedef enum {
149 MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
150 MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
152
158 uint16_t tls_id;
159 uint16_t bit_size;
160 const char *name;
162
174typedef struct mbedtls_ecp_point {
178}
180
181/* Determine the minimum safe value of MBEDTLS_ECP_MAX_BITS. */
182#if !defined(MBEDTLS_ECP_C)
183#define MBEDTLS_ECP_MAX_BITS_MIN 0
184/* Note: the curves must be listed in DECREASING size! */
185#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
186#define MBEDTLS_ECP_MAX_BITS_MIN 521
187#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
188#define MBEDTLS_ECP_MAX_BITS_MIN 512
189#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
190#define MBEDTLS_ECP_MAX_BITS_MIN 448
191#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
192#define MBEDTLS_ECP_MAX_BITS_MIN 384
193#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
194#define MBEDTLS_ECP_MAX_BITS_MIN 384
195#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
196#define MBEDTLS_ECP_MAX_BITS_MIN 256
197#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
198#define MBEDTLS_ECP_MAX_BITS_MIN 256
199#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
200#define MBEDTLS_ECP_MAX_BITS_MIN 256
201#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
202#define MBEDTLS_ECP_MAX_BITS_MIN 255
203#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
204#define MBEDTLS_ECP_MAX_BITS_MIN 225 // n is slightly above 2^224
205#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
206#define MBEDTLS_ECP_MAX_BITS_MIN 224
207#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
208#define MBEDTLS_ECP_MAX_BITS_MIN 192
209#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
210#define MBEDTLS_ECP_MAX_BITS_MIN 192
211#else
212#error "MBEDTLS_ECP_C enabled, but no curve?"
213#endif
214
215#if !defined(MBEDTLS_ECP_ALT)
216/*
217 * default mbed TLS elliptic curve arithmetic implementation
218 *
219 * (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
220 * alternative implementation for the whole module and it will replace this
221 * one.)
222 */
223
256typedef struct mbedtls_ecp_group {
265 size_t pbits;
266 size_t nbits;
269 unsigned int h;
270 int (*modp)(mbedtls_mpi *);
272 int (*t_pre)(mbedtls_ecp_point *, void *);
273 int (*t_post)(mbedtls_ecp_point *, void *);
274 void *t_data;
276 size_t T_size;
277}
279
288#if defined(MBEDTLS_ECP_MAX_BITS)
289
290#if MBEDTLS_ECP_MAX_BITS < MBEDTLS_ECP_MAX_BITS_MIN
291#error "MBEDTLS_ECP_MAX_BITS is smaller than the largest supported curve"
292#endif
293
294#elif defined(MBEDTLS_ECP_C)
298#define MBEDTLS_ECP_MAX_BITS MBEDTLS_ECP_MAX_BITS_MIN
299
300#else
301/* MBEDTLS_ECP_MAX_BITS is not relevant without MBEDTLS_ECP_C, but set it
302 * to a nonzero value so that code that unconditionally allocates an array
303 * of a size based on it keeps working if built without ECC support. */
304#define MBEDTLS_ECP_MAX_BITS 1
305#endif
306
307#define MBEDTLS_ECP_MAX_BYTES ((MBEDTLS_ECP_MAX_BITS + 7) / 8)
308#define MBEDTLS_ECP_MAX_PT_LEN (2 * MBEDTLS_ECP_MAX_BYTES + 1)
309
310#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
311/*
312 * Maximum "window" size used for point multiplication.
313 * Default: a point where higher memory usage yields diminishing performance
314 * returns.
315 * Minimum value: 2. Maximum value: 7.
316 *
317 * Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
318 * points used for point multiplication. This value is directly tied to EC
319 * peak memory usage, so decreasing it by one should roughly cut memory usage
320 * by two (if large curves are in use).
321 *
322 * Reduction in size may reduce speed, but larger curves are impacted first.
323 * Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
324 * w-size: 6 5 4 3 2
325 * 521 145 141 135 120 97
326 * 384 214 209 198 177 146
327 * 256 320 320 303 262 226
328 * 224 475 475 453 398 342
329 * 192 640 640 633 587 476
330 */
331#define MBEDTLS_ECP_WINDOW_SIZE 4
332#endif /* MBEDTLS_ECP_WINDOW_SIZE */
333
334#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
335/*
336 * Trade memory for speed on fixed-point multiplication.
337 *
338 * This speeds up repeated multiplication of the generator (that is, the
339 * multiplication in ECDSA signatures, and half of the multiplications in
340 * ECDSA verification and ECDHE) by a factor roughly 3 to 4.
341 *
342 * The cost is increasing EC peak memory usage by a factor roughly 2.
343 *
344 * Change this value to 0 to reduce peak memory usage.
345 */
346#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1
347#endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
348
351#else /* MBEDTLS_ECP_ALT */
352#include "ecp_alt.h"
353#endif /* MBEDTLS_ECP_ALT */
354
355#if defined(MBEDTLS_ECP_RESTARTABLE)
356
362typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx;
363
369typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx;
370
374typedef struct {
375 unsigned ops_done;
376 unsigned depth;
377 mbedtls_ecp_restart_mul_ctx *rsm;
378 mbedtls_ecp_restart_muladd_ctx *ma;
380
381/*
382 * Operation counts for restartable functions
383 */
384#define MBEDTLS_ECP_OPS_CHK 3
385#define MBEDTLS_ECP_OPS_DBL 8
386#define MBEDTLS_ECP_OPS_ADD 11
387#define MBEDTLS_ECP_OPS_INV 120
400int mbedtls_ecp_check_budget(const mbedtls_ecp_group *grp,
402 unsigned ops);
403
404/* Utility macro for checking and updating ops budget */
405#define MBEDTLS_ECP_BUDGET(ops) \
406 MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \
407 (unsigned) (ops)));
408
409#else /* MBEDTLS_ECP_RESTARTABLE */
410
411#define MBEDTLS_ECP_BUDGET(ops) /* no-op; for compatibility */
412
413/* We want to declare restartable versions of existing functions anyway */
415
416#endif /* MBEDTLS_ECP_RESTARTABLE */
417
426typedef struct mbedtls_ecp_keypair {
430}
432
433/*
434 * Point formats, from RFC 4492's enum ECPointFormat
435 */
436#define MBEDTLS_ECP_PF_UNCOMPRESSED 0
437#define MBEDTLS_ECP_PF_COMPRESSED 1
439/*
440 * Some other constants from RFC 4492
441 */
442#define MBEDTLS_ECP_TLS_NAMED_CURVE 3
444#if defined(MBEDTLS_ECP_RESTARTABLE)
502void mbedtls_ecp_set_max_ops(unsigned max_ops);
503
510int mbedtls_ecp_restart_is_enabled(void);
511#endif /* MBEDTLS_ECP_RESTARTABLE */
512
513/*
514 * Get the type of a curve
515 */
517
531
547
558
569
580
587
598
605
612
621
630
631#if defined(MBEDTLS_ECP_RESTARTABLE)
638void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx);
639
647void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx);
648#endif /* MBEDTLS_ECP_RESTARTABLE */
649
662
675 const mbedtls_ecp_group *src);
676
687
698
712 const mbedtls_ecp_point *Q);
713
727 const char *x, const char *y);
728
755 const mbedtls_ecp_point *P,
756 int format, size_t *olen,
757 unsigned char *buf, size_t buflen);
758
783 const unsigned char *buf, size_t ilen);
784
805 const unsigned char **buf, size_t len);
806
830 const mbedtls_ecp_point *pt,
831 int format, size_t *olen,
832 unsigned char *buf, size_t blen);
833
852
871 const unsigned char **buf, size_t len);
872
892 const unsigned char **buf,
893 size_t len);
913 size_t *olen,
914 unsigned char *buf, size_t blen);
915
953 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
954 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng);
955
987 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
988 int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
990
991#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
1028 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1029 const mbedtls_mpi *n, const mbedtls_ecp_point *Q);
1030
1073 const mbedtls_mpi *m, const mbedtls_ecp_point *P,
1074 const mbedtls_mpi *n, const mbedtls_ecp_point *Q,
1075 mbedtls_ecp_restart_ctx *rs_ctx);
1076#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
1077
1106 const mbedtls_ecp_point *pt);
1107
1128 const mbedtls_mpi *d);
1129
1146 mbedtls_mpi *d,
1147 int (*f_rng)(void *, unsigned char *, size_t),
1148 void *p_rng);
1149
1178 const mbedtls_ecp_point *G,
1180 int (*f_rng)(void *, unsigned char *, size_t),
1181 void *p_rng);
1182
1208 int (*f_rng)(void *, unsigned char *, size_t),
1209 void *p_rng);
1210
1225 int (*f_rng)(void *, unsigned char *, size_t),
1226 void *p_rng);
1227
1247 const unsigned char *buf, size_t buflen);
1248
1266 unsigned char *buf, size_t buflen);
1267
1286 const mbedtls_ecp_keypair *prv);
1287
1288#if defined(MBEDTLS_SELF_TEST)
1289
1296int mbedtls_ecp_self_test(int verbose);
1297
1298#endif /* MBEDTLS_SELF_TEST */
1299
1300#ifdef __cplusplus
1301}
1302#endif
1303
1304#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:414
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:147
@ MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS
Definition: ecp.h:149
@ MBEDTLS_ECP_TYPE_NONE
Definition: ecp.h:148
@ MBEDTLS_ECP_TYPE_MONTGOMERY
Definition: ecp.h:150
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:120
@ MBEDTLS_ECP_DP_SECP192K1
Definition: ecp.h:131
@ MBEDTLS_ECP_DP_SECP384R1
Definition: ecp.h:125
@ MBEDTLS_ECP_DP_CURVE448
Definition: ecp.h:134
@ MBEDTLS_ECP_DP_CURVE25519
Definition: ecp.h:130
@ MBEDTLS_ECP_DP_NONE
Definition: ecp.h:121
@ MBEDTLS_ECP_DP_SECP256K1
Definition: ecp.h:133
@ MBEDTLS_ECP_DP_BP512R1
Definition: ecp.h:129
@ MBEDTLS_ECP_DP_SECP224R1
Definition: ecp.h:123
@ MBEDTLS_ECP_DP_SECP521R1
Definition: ecp.h:126
@ MBEDTLS_ECP_DP_BP384R1
Definition: ecp.h:128
@ MBEDTLS_ECP_DP_SECP224K1
Definition: ecp.h:132
@ MBEDTLS_ECP_DP_BP256R1
Definition: ecp.h:127
@ MBEDTLS_ECP_DP_SECP192R1
Definition: ecp.h:122
@ MBEDTLS_ECP_DP_SECP256R1
Definition: ecp.h:124
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.
const char * name
Definition: ecp.h:160
mbedtls_ecp_group_id grp_id
Definition: ecp.h:157
uint16_t bit_size
Definition: ecp.h:159
uint16_t tls_id
Definition: ecp.h:158
The ECP group structure.
Definition: ecp.h:256
size_t pbits
Definition: ecp.h:265
int(* t_pre)(mbedtls_ecp_point *, void *)
Definition: ecp.h:272
unsigned int h
Definition: ecp.h:269
mbedtls_ecp_group_id id
Definition: ecp.h:257
size_t T_size
Definition: ecp.h:276
mbedtls_ecp_point * T
Definition: ecp.h:275
mbedtls_mpi N
Definition: ecp.h:264
void * t_data
Definition: ecp.h:274
mbedtls_ecp_point G
Definition: ecp.h:263
int(* t_post)(mbedtls_ecp_point *, void *)
Definition: ecp.h:273
mbedtls_mpi B
Definition: ecp.h:261
int(* modp)(mbedtls_mpi *)
Definition: ecp.h:270
mbedtls_mpi P
Definition: ecp.h:258
size_t nbits
Definition: ecp.h:266
mbedtls_mpi A
Definition: ecp.h:259
The ECP key-pair structure.
Definition: ecp.h:426
mbedtls_ecp_point Q
Definition: ecp.h:429
mbedtls_mpi d
Definition: ecp.h:428
mbedtls_ecp_group grp
Definition: ecp.h:427
The ECP point structure, in Jacobian coordinates.
Definition: ecp.h:174
mbedtls_mpi Z
Definition: ecp.h:177
mbedtls_mpi X
Definition: ecp.h:175
mbedtls_mpi Y
Definition: ecp.h:176
MPI structure.
Definition: bignum.h:208