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Diffstat (limited to 'include/mbedtls/ecp.h')
| -rw-r--r-- | include/mbedtls/ecp.h | 1362 |
1 files changed, 0 insertions, 1362 deletions
diff --git a/include/mbedtls/ecp.h b/include/mbedtls/ecp.h deleted file mode 100644 index 7f5e880..0000000 --- a/include/mbedtls/ecp.h +++ /dev/null @@ -1,1362 +0,0 @@ -/** - * \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 The Mbed TLS Contributors - * SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later - */ - -#ifndef MBEDTLS_ECP_H -#define MBEDTLS_ECP_H -#include "mbedtls/private_access.h" - -#include "mbedtls/build_info.h" - -#include "mbedtls/bignum.h" - -/* - * ECP error codes - */ -/** Bad input parameters to function. */ -#define MBEDTLS_ERR_ECP_BAD_INPUT_DATA -0x4F80 -/** The buffer is too small to write to. */ -#define MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL -0x4F00 -/** The requested feature is not available, for example, the requested curve is not supported. */ -#define MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE -0x4E80 -/** The signature is not valid. */ -#define MBEDTLS_ERR_ECP_VERIFY_FAILED -0x4E00 -/** Memory allocation failed. */ -#define MBEDTLS_ERR_ECP_ALLOC_FAILED -0x4D80 -/** Generation of random value, such as ephemeral key, failed. */ -#define MBEDTLS_ERR_ECP_RANDOM_FAILED -0x4D00 -/** Invalid private or public key. */ -#define MBEDTLS_ERR_ECP_INVALID_KEY -0x4C80 -/** The buffer contains a valid signature followed by more data. */ -#define MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH -0x4C00 -/** Operation in progress, call again with the same parameters to continue. */ -#define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00 - -/* Flags indicating whether to include code that is specific to certain - * types of curves. These flags are for internal library use only. */ -#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \ - defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED) -#define MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED -#endif -#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) || \ - defined(MBEDTLS_ECP_DP_CURVE448_ENABLED) -#define MBEDTLS_ECP_MONTGOMERY_ENABLED -#endif - -#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(). - */ -/* Note: when adding a new curve: - * - Add it at the end of this enum, otherwise you'll break the ABI by - * changing the numerical value for existing curves. - * - Increment MBEDTLS_ECP_DP_MAX below if needed. - * - Update the calculation of MBEDTLS_ECP_MAX_BITS below. - * - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to - * mbedtls_config.h. - * - List the curve as a dependency of MBEDTLS_ECP_C and - * MBEDTLS_ECDSA_C if supported in check_config.h. - * - Add the curve to the appropriate curve type macro - * MBEDTLS_ECP_yyy_ENABLED above. - * - Add the necessary definitions to ecp_curves.c. - * - Add the curve to the ecp_supported_curves array in ecp.c. - * - Add the curve to applicable profiles in x509_crt.c. - * - Add the curve to applicable presets in ssl_tls.c. - */ -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. - */ -#define MBEDTLS_ECP_DP_MAX 14 - -/* - * Curve types - */ -typedef enum { - MBEDTLS_ECP_TYPE_NONE = 0, - MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */ - MBEDTLS_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */ -} mbedtls_ecp_curve_type; - -/** - * Curve information, for use by other modules. - * - * The fields of this structure are part of the public API and can be - * accessed directly by applications. Future versions of the library may - * add extra fields or reorder existing fields. - */ -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 MBEDTLS_PRIVATE(X); /*!< The X coordinate of the ECP point. */ - mbedtls_mpi MBEDTLS_PRIVATE(Y); /*!< The Y coordinate of the ECP point. */ - mbedtls_mpi MBEDTLS_PRIVATE(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. - * - * The default implementation only initializes \p A without setting it to the - * authentic value for curves with <code>A = -3</code>(SECP256R1, etc), in which - * case you need to load \p A by yourself when using domain parameters directly, - * for example: - * \code - * mbedtls_mpi_init(&A); - * mbedtls_ecp_group_init(&grp); - * CHECK_RETURN(mbedtls_ecp_group_load(&grp, grp_id)); - * if (mbedtls_ecp_group_a_is_minus_3(&grp)) { - * CHECK_RETURN(mbedtls_mpi_sub_int(&A, &grp.P, 3)); - * } else { - * CHECK_RETURN(mbedtls_mpi_copy(&A, &grp.A)); - * } - * - * do_something_with_a(&A); - * - * cleanup: - * mbedtls_mpi_free(&A); - * mbedtls_ecp_group_free(&grp); - * \endcode - * - * 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. - * - * \note Alternative implementations of the ECP module must obey the - * following constraints. - * * Group IDs must be distinct: if two group structures have - * the same ID, then they must be identical. - * * The fields \c id, \c P, \c A, \c B, \c G, \c N, - * \c pbits and \c nbits must have the same type and semantics - * as in the built-in implementation. - * They must be available for reading, but direct modification - * of these fields does not need to be supported. - * They do not need to be at the same offset in the structure. - */ -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. Note that - \p A is not set to the authentic value in some cases. - Refer to detailed description of ::mbedtls_ecp_group if - using domain parameters in the structure. - 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. */ - /* End of public fields */ - - unsigned int MBEDTLS_PRIVATE(h); /*!< \internal 1 if the constants are static. */ - int(*MBEDTLS_PRIVATE(modp))(mbedtls_mpi *); /*!< The function for fast pseudo-reduction - mod \p P (see above).*/ - int(*MBEDTLS_PRIVATE(t_pre))(mbedtls_ecp_point *, void *); /*!< Unused. */ - int(*MBEDTLS_PRIVATE(t_post))(mbedtls_ecp_point *, void *); /*!< Unused. */ - void *MBEDTLS_PRIVATE(t_data); /*!< Unused. */ - mbedtls_ecp_point *MBEDTLS_PRIVATE(T); /*!< Pre-computed points for ecp_mul_comb(). */ - size_t MBEDTLS_PRIVATE(T_size); /*!< The number of dynamic allocated 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 mbedtls_config.h, or define them using the compiler command line. - * \{ - */ - -#if !defined(MBEDTLS_ECP_WINDOW_SIZE) -/* - * Maximum "window" size used for point multiplication. - * Default: a point where higher memory usage yields diminishing performance - * returns. - * 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 4 /**< The maximum window size used. */ -#endif /* MBEDTLS_ECP_WINDOW_SIZE */ - -#if !defined(MBEDTLS_ECP_FIXED_POINT_OPTIM) -/* - * Trade code size 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. - * - * For each n-bit Short Weierstrass curve that is enabled, this adds 4n bytes - * of code size if n < 384 and 8n otherwise. - * - * Change this value to 0 to reduce code size. - */ -#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 */ - -/** - * The maximum size of the groups, that is, of \c N and \c P. - */ -#if !defined(MBEDTLS_ECP_LIGHT) -/* Dummy definition to help code that has optional ECP support and - * defines an MBEDTLS_ECP_MAX_BYTES-sized array unconditionally. */ -#define MBEDTLS_ECP_MAX_BITS 1 -/* Note: the curves must be listed in DECREASING size! */ -#elif defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 521 -#elif defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 512 -#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 448 -#elif defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 384 -#elif defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 384 -#elif defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 256 -#elif defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 256 -#elif defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 256 -#elif defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 255 -#elif defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 225 // n is slightly above 2^224 -#elif defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 224 -#elif defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 192 -#elif defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) -#define MBEDTLS_ECP_MAX_BITS 192 -#else /* !MBEDTLS_ECP_LIGHT */ -#error "Missing definition of MBEDTLS_ECP_MAX_BITS" -#endif /* !MBEDTLS_ECP_LIGHT */ - -#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_RESTARTABLE) - -/** - * \brief Internal restart context for multiplication - * - * \note Opaque struct - */ -typedef struct mbedtls_ecp_restart_mul mbedtls_ecp_restart_mul_ctx; - -/** - * \brief Internal restart context for ecp_muladd() - * - * \note Opaque struct - */ -typedef struct mbedtls_ecp_restart_muladd mbedtls_ecp_restart_muladd_ctx; - -/** - * \brief General context for resuming ECC operations - */ -typedef struct { - unsigned MBEDTLS_PRIVATE(ops_done); /*!< current ops count */ - unsigned MBEDTLS_PRIVATE(depth); /*!< call depth (0 = top-level) */ - mbedtls_ecp_restart_mul_ctx *MBEDTLS_PRIVATE(rsm); /*!< ecp_mul_comb() sub-context */ - mbedtls_ecp_restart_muladd_ctx *MBEDTLS_PRIVATE(ma); /*!< ecp_muladd() sub-context */ -} mbedtls_ecp_restart_ctx; - -/* - * Operation counts for restartable functions - */ -#define MBEDTLS_ECP_OPS_CHK 3 /*!< basic ops count for ecp_check_pubkey() */ -#define MBEDTLS_ECP_OPS_DBL 8 /*!< basic ops count for ecp_double_jac() */ -#define MBEDTLS_ECP_OPS_ADD 11 /*!< basic ops count for see ecp_add_mixed() */ -#define MBEDTLS_ECP_OPS_INV 120 /*!< empirical equivalent for mpi_mod_inv() */ - -/** - * \brief Internal; for restartable functions in other modules. - * Check and update basic ops budget. - * - * \param grp Group structure - * \param rs_ctx Restart context - * \param ops Number of basic ops to do - * - * \return \c 0 if doing \p ops basic ops is still allowed, - * \return #MBEDTLS_ERR_ECP_IN_PROGRESS otherwise. - */ -int mbedtls_ecp_check_budget(const mbedtls_ecp_group *grp, - mbedtls_ecp_restart_ctx *rs_ctx, - unsigned ops); - -/* Utility macro for checking and updating ops budget */ -#define MBEDTLS_ECP_BUDGET(ops) \ - MBEDTLS_MPI_CHK(mbedtls_ecp_check_budget(grp, rs_ctx, \ - (unsigned) (ops))); - -#else /* MBEDTLS_ECP_RESTARTABLE */ - -#define MBEDTLS_ECP_BUDGET(ops) /* no-op; for compatibility */ - -/* We want to declare restartable versions of existing functions anyway */ -typedef void mbedtls_ecp_restart_ctx; - -#endif /* MBEDTLS_ECP_RESTARTABLE */ - -/** - * \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 MBEDTLS_PRIVATE(grp); /*!< Elliptic curve and base point */ - mbedtls_mpi MBEDTLS_PRIVATE(d); /*!< our secret value */ - mbedtls_ecp_point MBEDTLS_PRIVATE(Q); /*!< our public value */ -} -mbedtls_ecp_keypair; - -/** - * The uncompressed point format for Short Weierstrass curves - * (MBEDTLS_ECP_DP_SECP_XXX and MBEDTLS_ECP_DP_BP_XXX). - */ -#define MBEDTLS_ECP_PF_UNCOMPRESSED 0 -/** - * The compressed point format for Short Weierstrass curves - * (MBEDTLS_ECP_DP_SECP_XXX and MBEDTLS_ECP_DP_BP_XXX). - * - * \warning While this format is supported for all concerned curves for - * writing, when it comes to parsing, it is not supported for all - * curves. Specifically, parsing compressed points on - * MBEDTLS_ECP_DP_SECP224R1 and MBEDTLS_ECP_DP_SECP224K1 is not - * supported. - */ -#define MBEDTLS_ECP_PF_COMPRESSED 1 - -/* - * Some other constants from RFC 4492 - */ -#define MBEDTLS_ECP_TLS_NAMED_CURVE 3 /**< The named_curve of ECCurveType. */ - -#if defined(MBEDTLS_ECP_RESTARTABLE) -/** - * \brief Set the maximum number of basic operations done in a row. - * - * If more operations are needed to complete a computation, - * #MBEDTLS_ERR_ECP_IN_PROGRESS will be returned by the - * function performing the computation. It is then the - * caller's responsibility to either call again with the same - * parameters until it returns 0 or an error code; or to free - * the restart context if the operation is to be aborted. - * - * It is strictly required that all input parameters and the - * restart context be the same on successive calls for the - * same operation, but output parameters need not be the - * same; they must not be used until the function finally - * returns 0. - * - * This only applies to functions whose documentation - * mentions they may return #MBEDTLS_ERR_ECP_IN_PROGRESS (or - * #MBEDTLS_ERR_SSL_CRYPTO_IN_PROGRESS for functions in the - * SSL module). For functions that accept a "restart context" - * argument, passing NULL disables restart and makes the - * function equivalent to the function with the same name - * with \c _restartable removed. For functions in the ECDH - * module, restart is disabled unless the function accepts - * an "ECDH context" argument and - * mbedtls_ecdh_enable_restart() was previously called on - * that context. For function in the SSL module, restart is - * only enabled for specific sides and key exchanges - * (currently only for clients and ECDHE-ECDSA). - * - * \warning Using the PSA interruptible interfaces with keys in local - * storage and no accelerator driver will also call this - * function to set the values specified via those interfaces, - * overwriting values previously set. Care should be taken if - * mixing these two interfaces. - * - * \param max_ops Maximum number of basic operations done in a row. - * Default: 0 (unlimited). - * Lower (non-zero) values mean ECC functions will block for - * a lesser maximum amount of time. - * - * \note A "basic operation" is defined as a rough equivalent of a - * multiplication in GF(p) for the NIST P-256 curve. - * As an indication, with default settings, a scalar - * multiplication (full run of \c mbedtls_ecp_mul()) is: - * - about 3300 basic operations for P-256 - * - about 9400 basic operations for P-384 - * - * \note Very low values are not always respected: sometimes - * functions need to block for a minimum number of - * operations, and will do so even if max_ops is set to a - * lower value. That minimum depends on the curve size, and - * can be made lower by decreasing the value of - * \c MBEDTLS_ECP_WINDOW_SIZE. As an indication, here is the - * lowest effective value for various curves and values of - * that parameter (w for short): - * w=6 w=5 w=4 w=3 w=2 - * P-256 208 208 160 136 124 - * P-384 682 416 320 272 248 - * P-521 1364 832 640 544 496 - * - * \note This setting is currently ignored by Curve25519. - */ -void mbedtls_ecp_set_max_ops(unsigned max_ops); - -/** - * \brief Check if restart is enabled (max_ops != 0) - * - * \return \c 0 if \c max_ops == 0 (restart disabled) - * \return \c 1 otherwise (restart enabled) - */ -int mbedtls_ecp_restart_is_enabled(void); -#endif /* MBEDTLS_ECP_RESTARTABLE */ - -/* - * Get the type of a curve - */ -mbedtls_ecp_curve_type mbedtls_ecp_get_type(const mbedtls_ecp_group *grp); - -/** - * \brief This function retrieves the information defined in - * mbedtls_ecp_curve_info() for all supported curves. - * - * \note This function returns information about all curves - * supported by the library. Some curves may not be - * supported for all algorithms. Call mbedtls_ecdh_can_do() - * or mbedtls_ecdsa_can_do() to check if a curve is - * supported for ECDH or ECDSA. - * - * \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. - * - * \note This function returns information about all curves - * supported by the library. Some curves may not be - * supported for all algorithms. Call mbedtls_ecdh_can_do() - * or mbedtls_ecdsa_can_do() to check if a curve is - * supported for ECDH or ECDSA. - * - * \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_group_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. This may be \c NULL, in which - * case this function returns immediately. If it is not - * \c NULL, it must point to an initialized ECP group. - */ -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. This may be \c NULL, in which - * case this function returns immediately. If it is not - * \c NULL, it must point to an initialized ECP key pair. - */ -void mbedtls_ecp_keypair_free(mbedtls_ecp_keypair *key); - -#if defined(MBEDTLS_ECP_RESTARTABLE) -/** - * \brief Initialize a restart context. - * - * \param ctx The restart context to initialize. This must - * not be \c NULL. - */ -void mbedtls_ecp_restart_init(mbedtls_ecp_restart_ctx *ctx); - -/** - * \brief Free the components of a restart context. - * - * \param ctx The restart context to free. This may be \c NULL, in which - * case this function returns immediately. If it is not - * \c NULL, it must point to an initialized restart context. - */ -void mbedtls_ecp_restart_free(mbedtls_ecp_restart_ctx *ctx); -#endif /* MBEDTLS_ECP_RESTARTABLE */ - -/** - * \brief This function copies the contents of point \p Q into - * point \p P. - * - * \param P The destination point. This must be initialized. - * \param Q The source point. This must be initialized. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure. - * \return Another negative error code for other kinds of 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. This must be initialized. - * \param src The source group. This must be initialized. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_group_copy(mbedtls_ecp_group *dst, - const mbedtls_ecp_group *src); - -/** - * \brief This function sets a point to the point at infinity. - * - * \param pt The point to set. This must be initialized. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_set_zero(mbedtls_ecp_point *pt); - -/** - * \brief This function checks if a point is the point at infinity. - * - * \param pt The point to test. This must be initialized. - * - * \return \c 1 if the point is zero. - * \return \c 0 if the point is non-zero. - * \return A negative error code on failure. - */ -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. This must be initialized. - * \param Q The second point to compare. This must be initialized. - * - * \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. This must be initialized. - * \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. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param P The point to export. This must be initialized. - * \param format The point format. This must be either - * #MBEDTLS_ECP_PF_COMPRESSED or #MBEDTLS_ECP_PF_UNCOMPRESSED. - * (For groups without these formats, this parameter is - * ignored. But it still has to be either of the above - * values.) - * \param olen The address at which to store the length of - * the output in Bytes. This must not be \c NULL. - * \param buf The output buffer. This must be a writable buffer - * of length \p buflen Bytes. - * \param buflen The length of the output buffer \p buf in Bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL if the output buffer - * is too small to hold the point. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if the point format - * or the export for the given group is not implemented. - * \return Another negative error code on other kinds of 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. - * - * \note For compressed points, see #MBEDTLS_ECP_PF_COMPRESSED for - * limitations. - * - * \param grp The group to which the point should belong. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param P The destination context to import the point to. - * This must be initialized. - * \param buf The input buffer. This must be a readable buffer - * of length \p ilen Bytes. - * \param ilen The length of the input buffer \p buf in Bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if the input is invalid. - * \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if the import for the - * given group 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 immediately - * after the ECPoint record. - * - * \param grp The ECP group to use. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \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 - * defined in RFC 4492, Section 5.4. - * - * \param grp The ECP group to use. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param pt The point to be exported. This must be initialized. - * \param format The point format to use. This must be either - * #MBEDTLS_ECP_PF_COMPRESSED or #MBEDTLS_ECP_PF_UNCOMPRESSED. - * \param olen The address at which to store the length in Bytes - * of the data written. - * \param buf The target buffer. This must be a writable buffer of - * length \p blen Bytes. - * \param blen The length of the target buffer \p buf in Bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if the input is invalid. - * \return #MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL if the target buffer - * is too small to hold the exported point. - * \return Another negative error code on other kinds of 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 up an ECP group context - * from a standardized set of 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 group context to setup. This must be initialized. - * \param id The identifier of the domain parameter set to load. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if \p id doesn't - * correspond to a known group. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_group_load(mbedtls_ecp_group *grp, mbedtls_ecp_group_id id); - -/** - * \brief This function sets up an ECP group context from a TLS - * ECParameters record as defined in RFC 4492, Section 5.4. - * - * \note The read pointer \p buf is updated to point right after - * the ECParameters record on exit. - * - * \param grp The group context to setup. This must be initialized. - * \param buf The address of the pointer to the start of the input buffer. - * \param len The length of the input buffer \c *buf in Bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if input is invalid. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if the group is not - * recognized. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_tls_read_group(mbedtls_ecp_group *grp, - const unsigned char **buf, size_t len); - -/** - * \brief This function extracts an elliptic curve group ID from a - * TLS ECParameters record as defined in RFC 4492, Section 5.4. - * - * \note The read pointer \p buf is updated to point right after - * the ECParameters record on exit. - * - * \param grp The address at which to store the group id. - * This must not be \c NULL. - * \param buf The address of the pointer to the start of the input buffer. - * \param len The length of the input buffer \c *buf in Bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_BAD_INPUT_DATA if input is invalid. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if the group is not - * recognized. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_tls_read_group_id(mbedtls_ecp_group_id *grp, - const unsigned char **buf, - size_t len); -/** - * \brief This function exports an elliptic curve as a TLS - * ECParameters record as defined in RFC 4492, Section 5.4. - * - * \param grp The ECP group to be exported. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param olen The address at which to store the number of Bytes written. - * This must not be \c NULL. - * \param buf The buffer to write to. This must be a writable buffer - * of length \p blen Bytes. - * \param blen The length of the output buffer \p buf in Bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL if the output - * buffer is too small to hold the exported group. - * \return Another negative error code on other kinds of 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 a scalar 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. It also uses - * \p f_rng to randomize some intermediate results. - * - * \param grp The ECP group to use. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param R The point in which to store the result of the calculation. - * This must be initialized. - * \param m The integer by which to multiply. This must be initialized. - * \param P The point to multiply. This must be initialized. - * \param f_rng The RNG function. This must not be \c NULL. - * \param p_rng The RNG context to be passed to \p f_rng. This may be \c - * NULL if \p f_rng doesn't need a 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. - * \return Another negative error code on other kinds of 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 of a point by - * an integer: \p R = \p m * \p P in a restartable way. - * - * \see mbedtls_ecp_mul() - * - * \note This function does the same as \c mbedtls_ecp_mul(), but - * it can return early and restart according to the limit set - * with \c mbedtls_ecp_set_max_ops() to reduce blocking. - * - * \param grp The ECP group to use. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param R The point in which to store the result of the calculation. - * This must be initialized. - * \param m The integer by which to multiply. This must be initialized. - * \param P The point to multiply. This must be initialized. - * \param f_rng The RNG function. This must not be \c NULL. - * \param p_rng The RNG context to be passed to \p f_rng. This may be \c - * NULL if \p f_rng doesn't need a context. - * \param rs_ctx The restart context (NULL disables restart). - * - * \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. - * \return #MBEDTLS_ERR_ECP_IN_PROGRESS if maximum number of - * operations was reached: see \c mbedtls_ecp_set_max_ops(). - * \return Another negative error code on other kinds of failure. - */ -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); - -#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED) -/** - * \brief This function checks if domain parameter A of the curve is - * \c -3. - * - * \note This function is only defined for short Weierstrass curves. - * It may not be included in builds without any short - * Weierstrass curve. - * - * \param grp The ECP group to use. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * - * \return \c 1 if <code>A = -3</code>. - * \return \c 0 Otherwise. - */ -static inline int mbedtls_ecp_group_a_is_minus_3(const mbedtls_ecp_group *grp) -{ - return grp->A.MBEDTLS_PRIVATE(p) == NULL; -} - -/** - * \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. - * - * \note This function is only defined for short Weierstrass curves. - * It may not be included in builds without any short - * Weierstrass curve. - * - * \param grp The ECP group to use. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param R The point in which to store the result of the calculation. - * This must be initialized. - * \param m The integer by which to multiply \p P. - * This must be initialized. - * \param P The point to multiply by \p m. This must be initialized. - * \param n The integer by which to multiply \p Q. - * This must be initialized. - * \param Q The point to be multiplied by \p n. - * This must be initialized. - * - * \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. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if \p grp does not - * designate a short Weierstrass curve. - * \return Another negative error code on other kinds of 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 performs multiplication and addition of two - * points by integers: \p R = \p m * \p P + \p n * \p Q in a - * restartable way. - * - * \see \c mbedtls_ecp_muladd() - * - * \note This function works the same as \c mbedtls_ecp_muladd(), - * but it can return early and restart according to the limit - * set with \c mbedtls_ecp_set_max_ops() to reduce blocking. - * - * \note This function is only defined for short Weierstrass curves. - * It may not be included in builds without any short - * Weierstrass curve. - * - * \param grp The ECP group to use. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param R The point in which to store the result of the calculation. - * This must be initialized. - * \param m The integer by which to multiply \p P. - * This must be initialized. - * \param P The point to multiply by \p m. This must be initialized. - * \param n The integer by which to multiply \p Q. - * This must be initialized. - * \param Q The point to be multiplied by \p n. - * This must be initialized. - * \param rs_ctx The restart context (NULL disables restart). - * - * \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. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if \p grp does not - * designate a short Weierstrass curve. - * \return #MBEDTLS_ERR_ECP_IN_PROGRESS if maximum number of - * operations was reached: see \c mbedtls_ecp_set_max_ops(). - * \return Another negative error code on other kinds of failure. - */ -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); -#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */ - -/** - * \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 \c 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 ECP group the point should belong to. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param pt The point to check. This must be initialized. - * - * \return \c 0 if the point is a valid public key. - * \return #MBEDTLS_ERR_ECP_INVALID_KEY if the point is not - * a valid public key for the given curve. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_check_pubkey(const mbedtls_ecp_group *grp, - const mbedtls_ecp_point *pt); - -/** - * \brief This function checks that an \c 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 ECP group the private key should belong to. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param d The integer to check. This must be initialized. - * - * \return \c 0 if the point is a valid private key. - * \return #MBEDTLS_ERR_ECP_INVALID_KEY if the point is not a valid - * private key for the given curve. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_check_privkey(const mbedtls_ecp_group *grp, - const mbedtls_mpi *d); - -/** - * \brief This function generates a private key. - * - * \param grp The ECP group to generate a private key for. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param d The destination MPI (secret part). This must be initialized. - * \param f_rng The RNG function. This must not be \c NULL. - * \param p_rng The RNG parameter to be passed to \p f_rng. This may be - * \c NULL if \p f_rng doesn't need a context argument. - * - * \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_privkey(const mbedtls_ecp_group *grp, - mbedtls_mpi *d, - int (*f_rng)(void *, unsigned char *, size_t), - void *p_rng); - -/** - * \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 to generate a key pair for. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param G The base point to use. This must be initialized - * and belong to \p grp. It replaces the default base - * point \c grp->G used by mbedtls_ecp_gen_keypair(). - * \param d The destination MPI (secret part). - * This must be initialized. - * \param Q The destination point (public part). - * This must be initialized. - * \param f_rng The RNG function. This must not be \c NULL. - * \param p_rng The RNG context to be passed to \p f_rng. This may - * be \c NULL if \p f_rng doesn't need a context argument. - * - * \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 to generate a key pair for. - * This must be initialized and have group parameters - * set, for example through mbedtls_ecp_group_load(). - * \param d The destination MPI (secret part). - * This must be initialized. - * \param Q The destination point (public part). - * This must be initialized. - * \param f_rng The RNG function. This must not be \c NULL. - * \param p_rng The RNG context to be passed to \p f_rng. This may - * be \c NULL if \p f_rng doesn't need a context argument. - * - * \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. This must be initialized. - * \param f_rng The RNG function to use. This must not be \c NULL. - * \param p_rng The RNG context to be passed to \p f_rng. This may - * be \c NULL if \p f_rng doesn't need a context argument. - * - * \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 reads an elliptic curve private key. - * - * \param grp_id The ECP group identifier. - * \param key The destination key. - * \param buf The buffer containing the binary representation of the - * key. (Big endian integer for Weierstrass curves, byte - * string for Montgomery curves.) - * \param buflen The length of the buffer in bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_INVALID_KEY error if the key is - * invalid. - * \return #MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if the operation for - * the group is not implemented. - * \return Another negative error code on different kinds of failure. - */ -int mbedtls_ecp_read_key(mbedtls_ecp_group_id grp_id, mbedtls_ecp_keypair *key, - const unsigned char *buf, size_t buflen); - -/** - * \brief This function exports an elliptic curve private key. - * - * \param key The private key. - * \param buf The output buffer for containing the binary representation - * of the key. (Big endian integer for Weierstrass curves, byte - * string for Montgomery curves.) - * \param buflen The total length of the buffer in bytes. - * - * \return \c 0 on success. - * \return #MBEDTLS_ERR_ECP_BUFFER_TOO_SMALL if the \p key - representation is larger than the available space in \p buf. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if the operation for - * the group is not implemented. - * \return Another negative error code on different kinds of failure. - */ -int mbedtls_ecp_write_key(mbedtls_ecp_keypair *key, - unsigned char *buf, size_t buflen); - -/** - * \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. This - * must be initialized. If it contains a private key, that - * part is ignored. - * \param prv The keypair structure holding the full keypair. - * This must be initialized. - * \param f_rng The RNG function. This must not be \c NULL. - * \param p_rng The RNG context to be passed to \p f_rng. This may be \c - * NULL if \p f_rng doesn't need a context. - * - * \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, - int (*f_rng)(void *, unsigned char *, size_t), void *p_rng); - -/** - * \brief This function exports generic key-pair parameters. - * - * \param key The key pair to export from. - * \param grp Slot for exported ECP group. - * It must point to an initialized ECP group. - * \param d Slot for the exported secret value. - * It must point to an initialized mpi. - * \param Q Slot for the exported public value. - * It must point to an initialized ECP point. - * - * \return \c 0 on success, - * \return #MBEDTLS_ERR_MPI_ALLOC_FAILED on memory-allocation failure. - * \return #MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE if key id doesn't - * correspond to a known group. - * \return Another negative error code on other kinds of failure. - */ -int mbedtls_ecp_export(const mbedtls_ecp_keypair *key, mbedtls_ecp_group *grp, - mbedtls_mpi *d, mbedtls_ecp_point *Q); - -#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 */ |