| /** |
| * \file ecp.h |
| * |
| * \brief Elliptic curves over GF(p) |
| * |
| * Copyright (C) 2006-2013, ARM Limited, All Rights Reserved |
| * |
| * This file is part of mbed TLS (http://www.polarssl.org) |
| * |
| * 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. |
| */ |
| #ifndef POLARSSL_ECP_H |
| #define POLARSSL_ECP_H |
| |
| #include "bignum.h" |
| |
| /* |
| * ECP error codes |
| */ |
| #define POLARSSL_ERR_ECP_BAD_INPUT_DATA -0x4F80 /**< Bad input parameters to function. */ |
| #define POLARSSL_ERR_ECP_BUFFER_TOO_SMALL -0x4F00 /**< The buffer is too small to write to. */ |
| #define POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80 /**< Requested curve not available. */ |
| #define POLARSSL_ERR_ECP_VERIFY_FAILED -0x4E00 /**< The signature is not valid. */ |
| #define POLARSSL_ERR_ECP_MALLOC_FAILED -0x4D80 /**< Memory allocation failed. */ |
| #define POLARSSL_ERR_ECP_RANDOM_FAILED -0x4D00 /**< Generation of random value, such as (ephemeral) key, failed. */ |
| #define POLARSSL_ERR_ECP_INVALID_KEY -0x4C80 /**< Invalid private or public key. */ |
| #define POLARSSL_ERR_ECP_SIG_LEN_MISMATCH -0x4C00 /**< Signature is valid but shorter than the user-supplied length. */ |
| |
| #ifdef __cplusplus |
| extern "C" { |
| #endif |
| |
| /** |
| * Domain parameters (curve, subgroup and generator) identifiers. |
| * |
| * Only curves over prime fields are supported. |
| * |
| * \warning This library does not support validation of arbitrary domain |
| * parameters. Therefore, only well-known domain parameters from trusted |
| * sources should be used. See ecp_use_known_dp(). |
| */ |
| typedef enum |
| { |
| POLARSSL_ECP_DP_NONE = 0, |
| POLARSSL_ECP_DP_SECP192R1, /*!< 192-bits NIST curve */ |
| POLARSSL_ECP_DP_SECP224R1, /*!< 224-bits NIST curve */ |
| POLARSSL_ECP_DP_SECP256R1, /*!< 256-bits NIST curve */ |
| POLARSSL_ECP_DP_SECP384R1, /*!< 384-bits NIST curve */ |
| POLARSSL_ECP_DP_SECP521R1, /*!< 521-bits NIST curve */ |
| POLARSSL_ECP_DP_BP256R1, /*!< 256-bits Brainpool curve */ |
| POLARSSL_ECP_DP_BP384R1, /*!< 384-bits Brainpool curve */ |
| POLARSSL_ECP_DP_BP512R1, /*!< 512-bits Brainpool curve */ |
| POLARSSL_ECP_DP_M221, /*!< (not implemented yet) */ |
| POLARSSL_ECP_DP_M255, /*!< Curve25519 */ |
| POLARSSL_ECP_DP_M383, /*!< (not implemented yet) */ |
| POLARSSL_ECP_DP_M511, /*!< (not implemented yet) */ |
| POLARSSL_ECP_DP_SECP192K1, /*!< 192-bits "Koblitz" curve */ |
| POLARSSL_ECP_DP_SECP224K1, /*!< 224-bits "Koblitz" curve */ |
| POLARSSL_ECP_DP_SECP256K1, /*!< 256-bits "Koblitz" curve */ |
| } ecp_group_id; |
| |
| /** |
| * Number of supported curves (plus one for NONE). |
| * |
| * (Montgomery curves excluded for now.) |
| */ |
| #define POLARSSL_ECP_DP_MAX 12 |
| |
| /** |
| * Curve information for use by other modules |
| */ |
| typedef struct |
| { |
| ecp_group_id grp_id; /*!< Internal identifier */ |
| uint16_t tls_id; /*!< TLS NamedCurve identifier */ |
| uint16_t size; /*!< Curve size in bits */ |
| const char *name; /*!< Human-friendly name */ |
| } ecp_curve_info; |
| |
| /** |
| * \brief ECP point structure (jacobian coordinates) |
| * |
| * \note All functions expect and return points satisfying |
| * the following condition: Z == 0 or Z == 1. (Other |
| * values of Z are used by internal functions only.) |
| * The point is zero, or "at infinity", if Z == 0. |
| * Otherwise, X and Y are its standard (affine) coordinates. |
| */ |
| typedef struct |
| { |
| mpi X; /*!< the point's X coordinate */ |
| mpi Y; /*!< the point's Y coordinate */ |
| mpi Z; /*!< the point's Z coordinate */ |
| } |
| ecp_point; |
| |
| /** |
| * \brief ECP group structure |
| * |
| * We consider two types of curves equations: |
| * 1. Short Weierstrass y^2 = x^3 + A x + B mod P (SEC1 + RFC 4492) |
| * 2. Montgomery, y^2 = x^3 + A x^2 + x mod P (M255 + draft) |
| * In both cases, a generator G for a prime-order subgroup is fixed. In the |
| * short weierstrass, this subgroup is actually the whole curve, and its |
| * cardinal is denoted by N. |
| * |
| * In the case of Short Weierstrass curves, our code requires that N is an odd |
| * prime. (Use odd in ecp_mul() and prime in ecdsa_sign() for blinding.) |
| * |
| * In the case of Montgomery curves, we don't store A but (A + 2) / 4 which is |
| * the quantity actually used in the formulas. Also, nbits is not the size of N |
| * but the required size for private keys. |
| * |
| * If modp is NULL, reduction modulo P is done using a generic algorithm. |
| * Otherwise, it must point to a function that takes an mpi in the range |
| * 0..2^(2*pbits)-1 and transforms it in-place in an integer of little more |
| * than pbits, so that the integer may be efficiently brought in the 0..P-1 |
| * range by a few additions or substractions. It must return 0 on success and |
| * non-zero on failure. |
| */ |
| typedef struct |
| { |
| ecp_group_id id; /*!< internal group identifier */ |
| mpi P; /*!< prime modulus of the base field */ |
| mpi A; /*!< 1. A in the equation, or 2. (A + 2) / 4 */ |
| mpi B; /*!< 1. B in the equation, or 2. unused */ |
| ecp_point G; /*!< generator of the (sub)group used */ |
| mpi N; /*!< 1. the order of G, or 2. unused */ |
| size_t pbits; /*!< number of bits in P */ |
| size_t nbits; /*!< number of bits in 1. P, or 2. private keys */ |
| unsigned int h; /*!< internal: 1 if the constants are static */ |
| int (*modp)(mpi *); /*!< function for fast reduction mod P */ |
| int (*t_pre)(ecp_point *, void *); /*!< unused */ |
| int (*t_post)(ecp_point *, void *); /*!< unused */ |
| void *t_data; /*!< unused */ |
| ecp_point *T; /*!< pre-computed points for ecp_mul_comb() */ |
| size_t T_size; /*!< number for pre-computed points */ |
| } |
| ecp_group; |
| |
| /** |
| * \brief ECP key pair structure |
| * |
| * A generic key pair that could be used for ECDSA, fixed ECDH, etc. |
| * |
| * \note Members purposefully in the same order as struc ecdsa_context. |
| */ |
| typedef struct |
| { |
| ecp_group grp; /*!< Elliptic curve and base point */ |
| mpi d; /*!< our secret value */ |
| ecp_point Q; /*!< our public value */ |
| } |
| ecp_keypair; |
| |
| /** |
| * \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 on the compiler command line. |
| * \{ |
| */ |
| |
| #if !defined(POLARSSL_ECP_MAX_BITS) |
| /** |
| * Maximum size of the groups (that is, of N and P) |
| */ |
| #define POLARSSL_ECP_MAX_BITS 521 /**< Maximum bit size of groups */ |
| #endif |
| |
| #define POLARSSL_ECP_MAX_BYTES ( ( POLARSSL_ECP_MAX_BITS + 7 ) / 8 ) |
| #define POLARSSL_ECP_MAX_PT_LEN ( 2 * POLARSSL_ECP_MAX_BYTES + 1 ) |
| |
| #if !defined(POLARSSL_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 << ( POLARSSL_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 POLARSSL_ECP_WINDOW_SIZE 6 /**< Maximum window size used */ |
| #endif /* POLARSSL_ECP_WINDOW_SIZE */ |
| |
| #if !defined(POLARSSL_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 POLARSSL_ECP_FIXED_POINT_OPTIM 1 /**< Enable fixed-point speed-up */ |
| #endif /* POLARSSL_ECP_FIXED_POINT_OPTIM */ |
| |
| /* \} name SECTION: Module settings */ |
| |
| /* |
| * Point formats, from RFC 4492's enum ECPointFormat |
| */ |
| #define POLARSSL_ECP_PF_UNCOMPRESSED 0 /**< Uncompressed point format */ |
| #define POLARSSL_ECP_PF_COMPRESSED 1 /**< Compressed point format */ |
| |
| /* |
| * Some other constants from RFC 4492 |
| */ |
| #define POLARSSL_ECP_TLS_NAMED_CURVE 3 /**< ECCurveType's named_curve */ |
| |
| /** |
| * \brief Get the list of supported curves in order of preferrence |
| * (full information) |
| * |
| * \return A statically allocated array, the last entry is 0. |
| */ |
| const ecp_curve_info *ecp_curve_list( void ); |
| |
| /** |
| * \brief Get the list of supported curves in order of preferrence |
| * (grp_id only) |
| * |
| * \return A statically allocated array, |
| * terminated with POLARSSL_ECP_DP_NONE. |
| */ |
| const ecp_group_id *ecp_grp_id_list( void ); |
| |
| /** |
| * \brief Get curve information from an internal group identifier |
| * |
| * \param grp_id A POLARSSL_ECP_DP_XXX value |
| * |
| * \return The associated curve information or NULL |
| */ |
| const ecp_curve_info *ecp_curve_info_from_grp_id( ecp_group_id grp_id ); |
| |
| /** |
| * \brief Get curve information from a TLS NamedCurve value |
| * |
| * \param tls_id A POLARSSL_ECP_DP_XXX value |
| * |
| * \return The associated curve information or NULL |
| */ |
| const ecp_curve_info *ecp_curve_info_from_tls_id( uint16_t tls_id ); |
| |
| /** |
| * \brief Get curve information from a human-readable name |
| * |
| * \param name The name |
| * |
| * \return The associated curve information or NULL |
| */ |
| const ecp_curve_info *ecp_curve_info_from_name( const char *name ); |
| |
| /** |
| * \brief Initialize a point (as zero) |
| */ |
| void ecp_point_init( ecp_point *pt ); |
| |
| /** |
| * \brief Initialize a group (to something meaningless) |
| */ |
| void ecp_group_init( ecp_group *grp ); |
| |
| /** |
| * \brief Initialize a key pair (as an invalid one) |
| */ |
| void ecp_keypair_init( ecp_keypair *key ); |
| |
| /** |
| * \brief Free the components of a point |
| */ |
| void ecp_point_free( ecp_point *pt ); |
| |
| /** |
| * \brief Free the components of an ECP group |
| */ |
| void ecp_group_free( ecp_group *grp ); |
| |
| /** |
| * \brief Free the components of a key pair |
| */ |
| void ecp_keypair_free( ecp_keypair *key ); |
| |
| /** |
| * \brief Copy the contents of point Q into P |
| * |
| * \param P Destination point |
| * \param Q Source point |
| * |
| * \return 0 if successful, |
| * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed |
| */ |
| int ecp_copy( ecp_point *P, const ecp_point *Q ); |
| |
| /** |
| * \brief Copy the contents of a group object |
| * |
| * \param dst Destination group |
| * \param src Source group |
| * |
| * \return 0 if successful, |
| * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed |
| */ |
| int ecp_group_copy( ecp_group *dst, const ecp_group *src ); |
| |
| /** |
| * \brief Set a point to zero |
| * |
| * \param pt Destination point |
| * |
| * \return 0 if successful, |
| * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed |
| */ |
| int ecp_set_zero( ecp_point *pt ); |
| |
| /** |
| * \brief Tell if a point is zero |
| * |
| * \param pt Point to test |
| * |
| * \return 1 if point is zero, 0 otherwise |
| */ |
| int ecp_is_zero( ecp_point *pt ); |
| |
| /** |
| * \brief Import a non-zero point from two ASCII strings |
| * |
| * \param P Destination point |
| * \param radix Input numeric base |
| * \param x First affine coordinate as a null-terminated string |
| * \param y Second affine coordinate as a null-terminated string |
| * |
| * \return 0 if successful, or a POLARSSL_ERR_MPI_XXX error code |
| */ |
| int ecp_point_read_string( ecp_point *P, int radix, |
| const char *x, const char *y ); |
| |
| /** |
| * \brief Export a point into unsigned binary data |
| * |
| * \param grp Group to which the point should belong |
| * \param P Point to export |
| * \param format Point format, should be a POLARSSL_ECP_PF_XXX macro |
| * \param olen Length of the actual output |
| * \param buf Output buffer |
| * \param buflen Length of the output buffer |
| * |
| * \return 0 if successful, |
| * or POLARSSL_ERR_ECP_BAD_INPUT_DATA |
| * or POLARSSL_ERR_ECP_BUFFER_TOO_SMALL |
| */ |
| int ecp_point_write_binary( const ecp_group *grp, const ecp_point *P, |
| int format, size_t *olen, |
| unsigned char *buf, size_t buflen ); |
| |
| /** |
| * \brief Import a point from unsigned binary data |
| * |
| * \param grp Group to which the point should belong |
| * \param P Point to import |
| * \param buf Input buffer |
| * \param ilen Actual length of input |
| * |
| * \return 0 if successful, |
| * POLARSSL_ERR_ECP_BAD_INPUT_DATA if input is invalid, |
| * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed, |
| * POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE if the point format |
| * is not implemented. |
| * |
| * \note This function does NOT check that the point actually |
| * belongs to the given group, see ecp_check_pubkey() for |
| * that. |
| */ |
| int ecp_point_read_binary( const ecp_group *grp, ecp_point *P, |
| const unsigned char *buf, size_t ilen ); |
| |
| /** |
| * \brief Import a point from a TLS ECPoint record |
| * |
| * \param grp ECP group used |
| * \param pt Destination point |
| * \param buf $(Start of input buffer) |
| * \param len Buffer length |
| * |
| * \note buf is updated to point right after the ECPoint on exit |
| * |
| * \return O if successful, |
| * POLARSSL_ERR_MPI_XXX if initialization failed |
| * POLARSSL_ERR_ECP_BAD_INPUT_DATA if input is invalid |
| */ |
| int ecp_tls_read_point( const ecp_group *grp, ecp_point *pt, |
| const unsigned char **buf, size_t len ); |
| |
| /** |
| * \brief Export a point as a TLS ECPoint record |
| * |
| * \param grp ECP group used |
| * \param pt Point to export |
| * \param format Export format |
| * \param olen length of data written |
| * \param buf Buffer to write to |
| * \param blen Buffer length |
| * |
| * \return 0 if successful, |
| * or POLARSSL_ERR_ECP_BAD_INPUT_DATA |
| * or POLARSSL_ERR_ECP_BUFFER_TOO_SMALL |
| */ |
| int ecp_tls_write_point( const ecp_group *grp, const ecp_point *pt, |
| int format, size_t *olen, |
| unsigned char *buf, size_t blen ); |
| |
| /** |
| * \brief Import an ECP group from null-terminated ASCII strings |
| * |
| * \param grp Destination group |
| * \param radix Input numeric base |
| * \param p Prime modulus of the base field |
| * \param b Constant term in the equation |
| * \param gx The generator's X coordinate |
| * \param gy The generator's Y coordinate |
| * \param n The generator's order |
| * |
| * \return 0 if successful, or a POLARSSL_ERR_MPI_XXX error code |
| * |
| * \note Sets all fields except modp. |
| */ |
| int ecp_group_read_string( ecp_group *grp, int radix, |
| const char *p, const char *b, |
| const char *gx, const char *gy, const char *n); |
| |
| /** |
| * \brief Set a group using well-known domain parameters |
| * |
| * \param grp Destination group |
| * \param index Index in the list of well-known domain parameters |
| * |
| * \return O if successful, |
| * POLARSSL_ERR_MPI_XXX if initialization failed |
| * POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE for unkownn groups |
| * |
| * \note Index should be a value of RFC 4492's enum NamdeCurve, |
| * possibly in the form of a POLARSSL_ECP_DP_XXX macro. |
| */ |
| int ecp_use_known_dp( ecp_group *grp, ecp_group_id index ); |
| |
| /** |
| * \brief Set a group from a TLS ECParameters record |
| * |
| * \param grp Destination group |
| * \param buf &(Start of input buffer) |
| * \param len Buffer length |
| * |
| * \note buf is updated to point right after ECParameters on exit |
| * |
| * \return O if successful, |
| * POLARSSL_ERR_MPI_XXX if initialization failed |
| * POLARSSL_ERR_ECP_BAD_INPUT_DATA if input is invalid |
| */ |
| int ecp_tls_read_group( ecp_group *grp, const unsigned char **buf, size_t len ); |
| |
| /** |
| * \brief Write the TLS ECParameters record for a group |
| * |
| * \param grp ECP group used |
| * \param olen Number of bytes actually written |
| * \param buf Buffer to write to |
| * \param blen Buffer length |
| * |
| * \return 0 if successful, |
| * or POLARSSL_ERR_ECP_BUFFER_TOO_SMALL |
| */ |
| int ecp_tls_write_group( const ecp_group *grp, size_t *olen, |
| unsigned char *buf, size_t blen ); |
| |
| /** |
| * \brief Addition: R = P + Q |
| * |
| * \param grp ECP group |
| * \param R Destination point |
| * \param P Left-hand point |
| * \param Q Right-hand point |
| * |
| * \return 0 if successful, |
| * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed |
| * |
| * \note This function does not support Montgomery curves, such as |
| * Curve25519. |
| */ |
| int ecp_add( const ecp_group *grp, ecp_point *R, |
| const ecp_point *P, const ecp_point *Q ); |
| |
| /** |
| * \brief Subtraction: R = P - Q |
| * |
| * \param grp ECP group |
| * \param R Destination point |
| * \param P Left-hand point |
| * \param Q Right-hand point |
| * |
| * \return 0 if successful, |
| * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed |
| * |
| * \note This function does not support Montgomery curves, such as |
| * Curve25519. |
| */ |
| int ecp_sub( const ecp_group *grp, ecp_point *R, |
| const ecp_point *P, const ecp_point *Q ); |
| |
| /** |
| * \brief Multiplication by an integer: R = m * P |
| * (Not thread-safe to use same group in multiple threads) |
| * |
| * \param grp ECP group |
| * \param R Destination point |
| * \param m Integer by which to multiply |
| * \param P Point to multiply |
| * \param f_rng RNG function (see notes) |
| * \param p_rng RNG parameter |
| * |
| * \return 0 if successful, |
| * POLARSSL_ERR_ECP_INVALID_KEY if m is not a valid privkey |
| * or P is not a valid pubkey, |
| * POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed |
| * |
| * \note In order to prevent timing attacks, this function |
| * executes the exact same sequence of (base field) |
| * operations for any valid m. It avoids any if-branch or |
| * array index depending on the value of m. |
| * |
| * \note If f_rng is not NULL, it is used to randomize intermediate |
| * results in order to prevent potential timing attacks |
| * targeting these results. It is recommended to always |
| * provide a non-NULL f_rng (the overhead is negligible). |
| */ |
| int ecp_mul( ecp_group *grp, ecp_point *R, |
| const mpi *m, const ecp_point *P, |
| int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ); |
| |
| /** |
| * \brief Check that a point is a valid public key on this curve |
| * |
| * \param grp Curve/group the point should belong to |
| * \param pt Point to check |
| * |
| * \return 0 if point is a valid public key, |
| * POLARSSL_ERR_ECP_INVALID_KEY otherwise. |
| * |
| * \note This function only checks the point is non-zero, has valid |
| * coordinates and lies on the curve, but not that it is |
| * indeed a multiple of G. This is additional check is more |
| * expensive, isn't required by standards, and shouldn't 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 Uses bare components rather than an ecp_keypair structure |
| * in order to ease use with other structures such as |
| * ecdh_context of ecdsa_context. |
| */ |
| int ecp_check_pubkey( const ecp_group *grp, const ecp_point *pt ); |
| |
| /** |
| * \brief Check that an mpi is a valid private key for this curve |
| * |
| * \param grp Group used |
| * \param d Integer to check |
| * |
| * \return 0 if point is a valid private key, |
| * POLARSSL_ERR_ECP_INVALID_KEY otherwise. |
| * |
| * \note Uses bare components rather than an ecp_keypair structure |
| * in order to ease use with other structures such as |
| * ecdh_context of ecdsa_context. |
| */ |
| int ecp_check_privkey( const ecp_group *grp, const mpi *d ); |
| |
| /** |
| * \brief Generate a keypair |
| * |
| * \param grp ECP group |
| * \param d Destination MPI (secret part) |
| * \param Q Destination point (public part) |
| * \param f_rng RNG function |
| * \param p_rng RNG parameter |
| * |
| * \return 0 if successful, |
| * or a POLARSSL_ERR_ECP_XXX or POLARSSL_MPI_XXX error code |
| * |
| * \note Uses bare components rather than an ecp_keypair structure |
| * in order to ease use with other structures such as |
| * ecdh_context of ecdsa_context. |
| */ |
| int ecp_gen_keypair( ecp_group *grp, mpi *d, ecp_point *Q, |
| int (*f_rng)(void *, unsigned char *, size_t), |
| void *p_rng ); |
| |
| /** |
| * \brief Generate a keypair |
| * |
| * \param grp_id ECP group identifier |
| * \param key Destination keypair |
| * \param f_rng RNG function |
| * \param p_rng RNG parameter |
| * |
| * \return 0 if successful, |
| * or a POLARSSL_ERR_ECP_XXX or POLARSSL_MPI_XXX error code |
| */ |
| int ecp_gen_key( ecp_group_id grp_id, ecp_keypair *key, |
| int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ); |
| |
| /** |
| * \brief Check a public-private key pair |
| * |
| * \param pub Keypair structure holding a public key |
| * \param prv Keypair structure holding a private (plus public) key |
| * |
| * \return 0 if successfull (keys are valid and match), or |
| * POLARSSL_ERR_ECP_BAD_INPUT_DATA, or |
| * a POLARSSL_ERR_ECP_XXX or POLARSSL_ERR_MPI_XXX code. |
| */ |
| int ecp_check_pub_priv( const ecp_keypair *pub, const ecp_keypair *prv ); |
| |
| #if defined(POLARSSL_SELF_TEST) |
| /** |
| * \brief Checkup routine |
| * |
| * \return 0 if successful, or 1 if a test failed |
| */ |
| int ecp_self_test( int verbose ); |
| #endif |
| |
| #ifdef __cplusplus |
| } |
| #endif |
| |
| #endif /* ecp.h */ |
