Proxmark/proxmark3
1
1
Fork 0
mirror of https://github.com/Proxmark/proxmark3.git synced 2025-10-31 16:48:38 +08:00
Code Issues Projects Releases Packages Wiki Activity
proxmark3/common/mbedtls/ecp.h
Oleg Moiseenko 700d868794 move from polarssl to mbedtls (#708) 
* update polarssl to mbedtls
* fix a warning in armsrc/iso15693
* added random generator and ecdsa test
* added signature check to test
* move crypto lib to client directory
2018-11-19 09:02:38 +01:00

766 lines
30 KiB
C
Raw Blame History

/**
* \file ecp.h
*
* \brief This file provides an API for Elliptic Curves over GF(P) (ECP).
*
* The use of ECP in cryptography and TLS is defined in
* <em>Standards for Efficient Cryptography Group (SECG): SEC1
* Elliptic Curve Cryptography</em> and
* <em>RFC-4492: Elliptic Curve Cryptography (ECC) Cipher Suites
* for Transport Layer Security (TLS)</em>.
*
* <em>RFC-2409: The Internet Key Exchange (IKE)</em> defines ECP
* group types.
*
*/
/*
* Copyright (C) 2006-2018, Arm Limited (or its affiliates), All Rights Reserved
* SPDX-License-Identifier: GPL-2.0
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License along
* with this program; if not, write to the Free Software Foundation, Inc.,
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
*
* This file is part of Mbed TLS (https://tls.mbed.org)
*/
#ifndef MBEDTLS_ECP_H
#define MBEDTLS_ECP_H
#include "bignum.h"
/*
* ECP error codes
*/
#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80 /**< Bad input parameters to function. */
#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00 /**< The buffer is too small to write to. */
#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80 /**< The requested feature is not available, for example, the requested curve is not supported. */
#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00 /**< The signature is not valid. */
#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80 /**< Memory allocation failed. */
#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00 /**< Generation of random value, such as ephemeral key, failed. */
#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80 /**< Invalid private or public key. */
#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00 /**< The buffer contains a valid signature followed by more data. */
#define MBEDTLS_ERR_ECP_HW_ACCEL_FAILED -0x4B80 /**< The ECP hardware accelerator failed. */
#ifdef __cplusplus
extern "C" {
#endif
/**
* Domain-parameter identifiers: curve, subgroup, and generator.
*
* \note Only curves over prime fields are supported.
*
* \warning This library does not support validation of arbitrary domain
* parameters. Therefore, only standardized domain parameters from trusted
* sources should be used. See mbedtls_ecp_group_load().
*/
typedef enum
{
MBEDTLS_ECP_DP_NONE = 0, /*!< Curve not defined. */
MBEDTLS_ECP_DP_SECP192R1, /*!< Domain parameters for the 192-bit curve defined by FIPS 186-4 and SEC1. */
MBEDTLS_ECP_DP_SECP224R1, /*!< Domain parameters for the 224-bit curve defined by FIPS 186-4 and SEC1. */
MBEDTLS_ECP_DP_SECP256R1, /*!< Domain parameters for the 256-bit curve defined by FIPS 186-4 and SEC1. */
MBEDTLS_ECP_DP_SECP384R1, /*!< Domain parameters for the 384-bit curve defined by FIPS 186-4 and SEC1. */
MBEDTLS_ECP_DP_SECP521R1, /*!< Domain parameters for the 521-bit curve defined by FIPS 186-4 and SEC1. */
MBEDTLS_ECP_DP_BP256R1, /*!< Domain parameters for 256-bit Brainpool curve. */
MBEDTLS_ECP_DP_BP384R1, /*!< Domain parameters for 384-bit Brainpool curve. */
MBEDTLS_ECP_DP_BP512R1, /*!< Domain parameters for 512-bit Brainpool curve. */
MBEDTLS_ECP_DP_CURVE25519, /*!< Domain parameters for Curve25519. */
MBEDTLS_ECP_DP_SECP192K1, /*!< Domain parameters for 192-bit "Koblitz" curve. */
MBEDTLS_ECP_DP_SECP224K1, /*!< Domain parameters for 224-bit "Koblitz" curve. */
MBEDTLS_ECP_DP_SECP256K1, /*!< Domain parameters for 256-bit "Koblitz" curve. */
MBEDTLS_ECP_DP_CURVE448, /*!< Domain parameters for Curve448. */
} mbedtls_ecp_group_id;
/**
* The number of supported curves, plus one for #MBEDTLS_ECP_DP_NONE.
*
* \note Montgomery curves are currently excluded.
*/
#define MBEDTLS_ECP_DP_MAX 12
/**
* Curve information, for use by other modules.
*/
typedef struct mbedtls_ecp_curve_info
{
mbedtls_ecp_group_id grp_id; /*!< An internal identifier. */
uint16_t tls_id; /*!< The TLS NamedCurve identifier. */
uint16_t bit_size; /*!< The curve size in bits. */
const char *name; /*!< A human-friendly name. */
} mbedtls_ecp_curve_info;
/**
* \brief The ECP point structure, in Jacobian coordinates.
*
* \note All functions expect and return points satisfying
* the following condition: <code>Z == 0</code> or
* <code>Z == 1</code>. Other values of \p Z are
* used only by internal functions.
* The point is zero, or "at infinity", if <code>Z == 0</code>.
* Otherwise, \p X and \p Y are its standard (affine)
* coordinates.
*/
typedef struct mbedtls_ecp_point
{
mbedtls_mpi X; /*!< The X coordinate of the ECP point. */
mbedtls_mpi Y; /*!< The Y coordinate of the ECP point. */
mbedtls_mpi Z; /*!< The Z coordinate of the ECP point. */
}
mbedtls_ecp_point;
#if !defined(MBEDTLS_ECP_ALT)
/*
* default mbed TLS elliptic curve arithmetic implementation
*
* (in case MBEDTLS_ECP_ALT is defined then the developer has to provide an
* alternative implementation for the whole module and it will replace this
* one.)
*/
/**
* \brief The ECP group structure.
*
* We consider two types of curve equations:
* <ul><li>Short Weierstrass: <code>y^2 = x^3 + A x + B mod P</code>
* (SEC1 + RFC-4492)</li>
* <li>Montgomery: <code>y^2 = x^3 + A x^2 + x mod P</code> (Curve25519,
* Curve448)</li></ul>
* In both cases, the generator (\p G) for a prime-order subgroup is fixed.
*
* For Short Weierstrass, this subgroup is the whole curve, and its
* cardinality is denoted by \p N. Our code requires that \p N is an
* odd prime as mbedtls_ecp_mul() requires an odd number, and
* mbedtls_ecdsa_sign() requires that it is prime for blinding purposes.
*
* For Montgomery curves, we do not store \p A, but <code>(A + 2) / 4</code>,
* which is the quantity used in the formulas. Additionally, \p nbits is
* not the size of \p N but the required size for private keys.
*
* If \p modp is NULL, reduction modulo \p P is done using a generic algorithm.
* Otherwise, \p modp must point to a function that takes an \p mbedtls_mpi in the
* range of <code>0..2^(2*pbits)-1</code>, and transforms it in-place to an integer
* which is congruent mod \p P to the given MPI, and is close enough to \p pbits
* in size, so that it may be efficiently brought in the 0..P-1 range by a few
* additions or subtractions. Therefore, it is only an approximative modular
* reduction. It must return 0 on success and non-zero on failure.
*
*/
typedef struct mbedtls_ecp_group
{
mbedtls_ecp_group_id id; /*!< An internal group identifier. */
mbedtls_mpi P; /*!< The prime modulus of the base field. */
mbedtls_mpi A; /*!< For Short Weierstrass: \p A in the equation. For
Montgomery curves: <code>(A + 2) / 4</code>. */
mbedtls_mpi B; /*!< For Short Weierstrass: \p B in the equation.
For Montgomery curves: unused. */
mbedtls_ecp_point G; /*!< The generator of the subgroup used. */
mbedtls_mpi N; /*!< The order of \p G. */
size_t pbits; /*!< The number of bits in \p P.*/
size_t nbits; /*!< For Short Weierstrass: The number of bits in \p P.
For Montgomery curves: the number of bits in the
private keys. */
unsigned int h; /*!< \internal 1 if the constants are static. */
int (*modp)(mbedtls_mpi *); /*!< The function for fast pseudo-reduction
mod \p P (see above).*/
int (*t_pre)(mbedtls_ecp_point *, void *); /*!< Unused. */
int (*t_post)(mbedtls_ecp_point *, void *); /*!< Unused. */
void *t_data; /*!< Unused. */
mbedtls_ecp_point *T; /*!< Pre-computed points for ecp_mul_comb(). */
size_t T_size; /*!< The number of pre-computed points. */
}
mbedtls_ecp_group;
/**
* \name SECTION: Module settings
*
* The configuration options you can set for this module are in this section.
* Either change them in config.h, or define them using the compiler command line.
* \{
*/
#if !defined(MBEDTLS_ECP_MAX_BITS)
/**
* The maximum size of the groups, that is, of \c N and \c P.
*/
#define MBEDTLS_ECP_MAX_BITS 521 /**< The maximum size of groups, in bits. */
#endif
#define MBEDTLS_ECP_MAX_BYTES ( ( MBEDTLS_ECP_MAX_BITS + 7 ) / 8 )
#define MBEDTLS_ECP_MAX_PT_LEN ( 2 * MBEDTLS_ECP_MAX_BYTES + 1 )
#if !defined(MBEDTLS_ECP_WINDOW_SIZE)
/*
* Maximum "window" size used for point multiplication.
* Default: 6.
* Minimum value: 2. Maximum value: 7.
*
* Result is an array of at most ( 1 << ( MBEDTLS_ECP_WINDOW_SIZE - 1 ) )
* points used for point multiplication. This value is directly tied to EC
* peak memory usage, so decreasing it by one should roughly cut memory usage
* by two (if large curves are in use).
*
* Reduction in size may reduce speed, but larger curves are impacted first.
* Sample performances (in ECDHE handshakes/s, with FIXED_POINT_OPTIM = 1):
* w-size: 6 5 4 3 2
* 521 145 141 135 120 97
* 384 214 209 198 177 146
* 256 320 320 303 262 226
* 224 475 475 453 398 342
* 192 640 640 633 587 476
*/
#define MBEDTLS_ECP_WINDOW_SIZE 6 /**< The maximum window size used. */
#endif /* MBEDTLS_ECP_WINDOW_SIZE */
#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM)
/*
* Trade memory for speed on fixed-point multiplication.
*
* This speeds up repeated multiplication of the generator (that is, the
* multiplication in ECDSA signatures, and half of the multiplications in
* ECDSA verification and ECDHE) by a factor roughly 3 to 4.
*
* The cost is increasing EC peak memory usage by a factor roughly 2.
*
* Change this value to 0 to reduce peak memory usage.
*/
#define MBEDTLS_ECP_FIXED_POINT_OPTIM 1 /**< Enable fixed-point speed-up. */
#endif /* MBEDTLS_ECP_FIXED_POINT_OPTIM */
/* \} name SECTION: Module settings */
#else /* MBEDTLS_ECP_ALT */
#include "ecp_alt.h"
#endif /* MBEDTLS_ECP_ALT */
/**
* \brief The ECP key-pair structure.
*
* A generic key-pair that may be used for ECDSA and fixed ECDH, for example.
*
* \note Members are deliberately in the same order as in the
* ::mbedtls_ecdsa_context structure.
*/
typedef struct mbedtls_ecp_keypair
{
mbedtls_ecp_group grp; /*!< Elliptic curve and base point */
mbedtls_mpi d; /*!< our secret value */
mbedtls_ecp_point Q; /*!< our public value */
}
mbedtls_ecp_keypair;
/*
* Point formats, from RFC 4492's enum ECPointFormat
*/
#define MBEDTLS_ECP_PF_UNCOMPRESSED 0 /**< Uncompressed point format. */
#define MBEDTLS_ECP_PF_COMPRESSED 1 /**< Compressed point format. */
/*
* Some other constants from RFC 4492
*/
#define MBEDTLS_ECP_TLS_NAMED_CURVE 3 /**< The named_curve of ECCurveType. */
/**
* \brief This function retrieves the information defined in
* mbedtls_ecp_curve_info() for all supported curves in order
* of preference.
*
* \return A statically allocated array. The last entry is 0.
*/
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_list( void );
/**
* \brief This function retrieves the list of internal group
* identifiers of all supported curves in the order of
* preference.
*
* \return A statically allocated array,
* terminated with MBEDTLS_ECP_DP_NONE.
*/
const mbedtls_ecp_group_id *mbedtls_ecp_grp_id_list( void );
/**
* \brief This function retrieves curve information from an internal
* group identifier.
*
* \param grp_id An \c MBEDTLS_ECP_DP_XXX value.
*
* \return The associated curve information on success.
* \return NULL on failure.
*/
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_grp_id( mbedtls_ecp_group_id grp_id );
/**
* \brief This function retrieves curve information from a TLS
* NamedCurve value.
*
* \param tls_id An \c MBEDTLS_ECP_DP_XXX value.
*
* \return The associated curve information on success.
* \return NULL on failure.
*/
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_tls_id( uint16_t tls_id );
/**
* \brief This function retrieves curve information from a
* human-readable name.
*
* \param name The human-readable name.
*
* \return The associated curve information on success.
* \return NULL on failure.
*/
const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_name( const char *name );
/**
* \brief This function initializes a point as zero.
*
* \param pt The point to initialize.
*/
void mbedtls_ecp_point_init( mbedtls_ecp_point *pt );
/**
* \brief This function initializes an ECP group context
* without loading any domain parameters.
*
* \note After this function is called, domain parameters
* for various ECP groups can be loaded through the
* mbedtls_ecp_load() or mbedtls_ecp_tls_read_group()
* functions.
*/
void mbedtls_ecp_group_init( mbedtls_ecp_group *grp );
/**
* \brief This function initializes a key pair as an invalid one.
*
* \param key The key pair to initialize.
*/
void mbedtls_ecp_keypair_init( mbedtls_ecp_keypair *key );
/**
* \brief This function frees the components of a point.
*
* \param pt The point to free.
*/
void mbedtls_ecp_point_free( mbedtls_ecp_point *pt );
/**
* \brief This function frees the components of an ECP group.
* \param grp The group to free.
*/
void mbedtls_ecp_group_free( mbedtls_ecp_group *grp );
/**
* \brief This function frees the components of a key pair.
* \param key The key pair to free.
*/
void mbedtls_ecp_keypair_free( mbedtls_ecp_keypair *key );
/**
* \brief This function copies the contents of point \p Q into
* point \p P.
*
* \param P The destination point.
* \param Q The source point.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure.
*/
int mbedtls_ecp_copy( mbedtls_ecp_point *P, const mbedtls_ecp_point *Q );
/**
* \brief This function copies the contents of group \p src into
* group \p dst.
*
* \param dst The destination group.
* \param src The source group.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure.
*/
int mbedtls_ecp_group_copy( mbedtls_ecp_group *dst, const mbedtls_ecp_group *src );
/**
* \brief This function sets a point to zero.
*
* \param pt The point to set.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure.
*/
int mbedtls_ecp_set_zero( mbedtls_ecp_point *pt );
/**
* \brief This function checks if a point is zero.
*
* \param pt The point to test.
*
* \return \c 1 if the point is zero.
* \return \c 0 if the point is non-zero.
*/
int mbedtls_ecp_is_zero( mbedtls_ecp_point *pt );
/**
* \brief This function compares two points.
*
* \note This assumes that the points are normalized. Otherwise,
* they may compare as "not equal" even if they are.
*
* \param P The first point to compare.
* \param Q The second point to compare.
*
* \return \c 0 if the points are equal.
* \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if the points are not equal.
*/
int mbedtls_ecp_point_cmp( const mbedtls_ecp_point *P,
const mbedtls_ecp_point *Q );
/**
* \brief This function imports a non-zero point from two ASCII
* strings.
*
* \param P The destination point.
* \param radix The numeric base of the input.
* \param x The first affine coordinate, as a null-terminated string.
* \param y The second affine coordinate, as a null-terminated string.
*
* \return \c 0 on success.
* \return An \c MBEDTLS_ERR_MPI_XXX error code on failure.
*/
int mbedtls_ecp_point_read_string( mbedtls_ecp_point *P, int radix,
const char *x, const char *y );
/**
* \brief This function exports a point into unsigned binary data.
*
* \param grp The group to which the point should belong.
* \param P The point to export.
* \param format The point format. Should be an \c MBEDTLS_ECP_PF_XXX macro.
* \param olen The length of the output.
* \param buf The output buffer.
* \param buflen The length of the output buffer.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA
* or #MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL on failure.
*/
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 );
/**
* \brief This function imports a point from unsigned binary data.
*
* \note This function does not check that the point actually
* belongs to the given group, see mbedtls_ecp_check_pubkey()
* for that.
*
* \param grp The group to which the point should belong.
* \param P The point to import.
* \param buf The input buffer.
* \param ilen The length of the input.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if input is invalid.
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure.
* \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if the point format
* is not implemented.
*
*/
int mbedtls_ecp_point_read_binary( const mbedtls_ecp_group *grp, mbedtls_ecp_point *P,
const unsigned char *buf, size_t ilen );
/**
* \brief This function imports a point from a TLS ECPoint record.
*
* \note On function return, \p buf is updated to point to immediately
* after the ECPoint record.
*
* \param grp The ECP group used.
* \param pt The destination point.
* \param buf The address of the pointer to the start of the input buffer.
* \param len The length of the buffer.
*
* \return \c 0 on success.
* \return An \c MBEDTLS_ERR_MPI_XXX error code on initialization failure.
* \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if input is invalid.
*/
int mbedtls_ecp_tls_read_point( const mbedtls_ecp_group *grp, mbedtls_ecp_point *pt,
const unsigned char **buf, size_t len );
/**
* \brief This function exports a point as a TLS ECPoint record.
*
* \param grp The ECP group used.
* \param pt The point format to export to. The point format is an
* \c MBEDTLS_ECP_PF_XXX constant.
* \param format The export format.
* \param olen The length of the data written.
* \param buf The buffer to write to.
* \param blen The length of the buffer.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA or
* #MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL on failure.
*/
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 );
/**
* \brief This function sets a group using standardized domain parameters.
*
* \note The index should be a value of the NamedCurve enum,
* as defined in <em>RFC-4492: Elliptic Curve Cryptography
* (ECC) Cipher Suites for Transport Layer Security (TLS)</em>,
* usually in the form of an \c MBEDTLS_ECP_DP_XXX macro.
*
* \param grp The destination group.
* \param id The identifier of the domain parameter set to load.
*
* \return \c 0 on success,
* \return An \c MBEDTLS_ERR_MPI_XXX error code on initialization failure.
* \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE for unkownn groups.
*/
int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id );
/**
* \brief This function sets a group from a TLS ECParameters record.
*
* \note \p buf is updated to point right after the ECParameters record
* on exit.
*
* \param grp The destination group.
* \param buf The address of the pointer to the start of the input buffer.
* \param len The length of the buffer.
*
* \return \c 0 on success.
* \return An \c MBEDTLS_ERR_MPI_XXX error code on initialization failure.
* \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if input is invalid.
*/
int mbedtls_ecp_tls_read_group( mbedtls_ecp_group *grp, const unsigned char **buf, size_t len );
/**
* \brief This function writes the TLS ECParameters record for a group.
*
* \param grp The ECP group used.
* \param olen The number of Bytes written.
* \param buf The buffer to write to.
* \param blen The length of the buffer.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL on failure.
*/
int mbedtls_ecp_tls_write_group( const mbedtls_ecp_group *grp, size_t *olen,
unsigned char *buf, size_t blen );
/**
* \brief This function performs multiplication of a point by
* an integer: \p R = \p m * \p P.
*
* It is not thread-safe to use same group in multiple threads.
*
* \note To prevent timing attacks, this function
* executes the exact same sequence of base-field
* operations for any valid \p m. It avoids any if-branch or
* array index depending on the value of \p m.
*
* \note If \p f_rng is not NULL, it is used to randomize
* intermediate results to prevent potential timing attacks
* targeting these results. We recommend always providing
* a non-NULL \p f_rng. The overhead is negligible.
*
* \param grp The ECP group.
* \param R The destination point.
* \param m The integer by which to multiply.
* \param P The point to multiply.
* \param f_rng The RNG function.
* \param p_rng The RNG context.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_ECP_INVALID_KEY if \p m is not a valid private
* key, or \p P is not a valid public key.
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure.
*/
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 );
/**
* \brief This function performs multiplication and addition of two
* points by integers: \p R = \p m * \p P + \p n * \p Q
*
* It is not thread-safe to use same group in multiple threads.
*
* \note In contrast to mbedtls_ecp_mul(), this function does not
* guarantee a constant execution flow and timing.
*
* \param grp The ECP group.
* \param R The destination point.
* \param m The integer by which to multiply \p P.
* \param P The point to multiply by \p m.
* \param n The integer by which to multiply \p Q.
* \param Q The point to be multiplied by \p n.
*
* \return \c 0 on success.
* \return #MBEDTLS_ERR_ECP_INVALID_KEY if \p m or \p n are not
* valid private keys, or \p P or \p Q are not valid public
* keys.
* \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure.
*/
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 );
/**
* \brief This function checks that a point is a valid public key
* on this curve.
*
* It only checks that the point is non-zero, has
* valid coordinates and lies on the curve. It does not verify
* that it is indeed a multiple of \p G. This additional
* check is computationally more expensive, is not required
* by standards, and should not be necessary if the group
* used has a small cofactor. In particular, it is useless for
* the NIST groups which all have a cofactor of 1.
*
* \note This function uses bare components rather than an
* ::mbedtls_ecp_keypair structure, to ease use with other
* structures, such as ::mbedtls_ecdh_context or
* ::mbedtls_ecdsa_context.
*
* \param grp The curve the point should lie on.
* \param pt The point to check.
*
* \return \c 0 if the point is a valid public key.
* \return #MBEDTLS_ERR_ECP_INVALID_KEY on failure.
*/
int mbedtls_ecp_check_pubkey( const mbedtls_ecp_group *grp, const mbedtls_ecp_point *pt );
/**
* \brief This function checks that an \p mbedtls_mpi is a valid private
* key for this curve.
*
* \note This function uses bare components rather than an
* ::mbedtls_ecp_keypair structure to ease use with other
* structures, such as ::mbedtls_ecdh_context or
* ::mbedtls_ecdsa_context.
*
* \param grp The group used.
* \param d The integer to check.
*
* \return \c 0 if the point is a valid private key.
* \return #MBEDTLS_ERR_ECP_INVALID_KEY on failure.
*/
int mbedtls_ecp_check_privkey( const mbedtls_ecp_group *grp, const mbedtls_mpi *d );
/**
* \brief This function generates a keypair with a configurable base
* point.
*
* \note This function uses bare components rather than an
* ::mbedtls_ecp_keypair structure to ease use with other
* structures, such as ::mbedtls_ecdh_context or
* ::mbedtls_ecdsa_context.
*
* \param grp The ECP group.
* \param G The chosen base point.
* \param d The destination MPI (secret part).
* \param Q The destination point (public part).
* \param f_rng The RNG function.
* \param p_rng The RNG context.
*
* \return \c 0 on success.
* \return An \c MBEDTLS_ERR_ECP_XXX or \c MBEDTLS_MPI_XXX error code
* on failure.
*/
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 );
/**
* \brief This function generates an ECP keypair.
*
* \note This function uses bare components rather than an
* ::mbedtls_ecp_keypair structure to ease use with other
* structures, such as ::mbedtls_ecdh_context or
* ::mbedtls_ecdsa_context.
*
* \param grp The ECP group.
* \param d The destination MPI (secret part).
* \param Q The destination point (public part).
* \param f_rng The RNG function.
* \param p_rng The RNG context.
*
* \return \c 0 on success.
* \return An \c MBEDTLS_ERR_ECP_XXX or \c MBEDTLS_MPI_XXX error code
* on failure.
*/
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 );
/**
* \brief This function generates an ECP key.
*
* \param grp_id The ECP group identifier.
* \param key The destination key.
* \param f_rng The RNG function.
* \param p_rng The RNG context.
*
* \return \c 0 on success.
* \return An \c MBEDTLS_ERR_ECP_XXX or \c MBEDTLS_MPI_XXX error code
* on failure.
*/
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 );
/**
* \brief This function checks that the keypair objects
* \p pub and \p prv have the same group and the
* same public point, and that the private key in
* \p prv is consistent with the public key.
*
* \param pub The keypair structure holding the public key.
* If it contains a private key, that part is ignored.
* \param prv The keypair structure holding the full keypair.
*
* \return \c 0 on success, meaning that the keys are valid and match.
* \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if the keys are invalid or do not match.
* \return An \c MBEDTLS_ERR_ECP_XXX or an \c MBEDTLS_ERR_MPI_XXX
* error code on calculation failure.
*/
int mbedtls_ecp_check_pub_priv( const mbedtls_ecp_keypair *pub, const mbedtls_ecp_keypair *prv );
#if defined(MBEDTLS_SELF_TEST)
/**
* \brief The ECP checkup routine.
*
* \return \c 0 on success.
* \return \c 1 on failure.
*/
int mbedtls_ecp_self_test( int verbose );
#endif /* MBEDTLS_SELF_TEST */
#ifdef __cplusplus
}
#endif
#endif /* ecp.h */
Reference in a new issue View git blame Copy permalink