#ifndef COSMOPOLITAN_THIRD_PARTY_MBEDTLS_ECP_H_ #define COSMOPOLITAN_THIRD_PARTY_MBEDTLS_ECP_H_ #include "libc/log/backtrace.internal.h" #include "third_party/mbedtls/bignum.h" #include "third_party/mbedtls/config.h" COSMOPOLITAN_C_START_ /* clang-format off */ #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. */ #define MBEDTLS_ERR_ECP_IN_PROGRESS -0x4B00 /*< Operation in progress, call again with the same parameters to continue. */ /** * 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 { /* 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. * - Add the corresponding MBEDTLS_ECP_DP_xxx_ENABLED macro definition to * config.h. * - List the curve as a dependency of MBEDTLS_ECP_C and * MBEDTLS_ECDSA_C if supported in check.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 if applicable. */ 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 #define MBEDTLS_ECP_PF_UNCOMPRESSED 0 /*< Uncompressed point format (RFC4492) */ #define MBEDTLS_ECP_PF_COMPRESSED 1 /*< Compressed point format (RFC4492) */ #define MBEDTLS_ECP_TLS_NAMED_CURVE 3 /*< The named_curve of ECCurveType (RFC4492) */ /* * 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. */ 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: Z == 0 or * Z == 1. Other values of \p Z are * used only by internal functions. * The point is zero, or "at infinity", if Z == 0. * 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: * * 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 (A + 2) / 4, * 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 0..2^(2*pbits)-1, 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 must keep the group IDs distinct. If * two group structures have the same ID, then they must be * identical. * */ 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: (A + 2) / 4. */ 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 "third_party/mbedtls/ecp_alt.h" */ #endif /* MBEDTLS_ECP_ALT */ #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 ops_done; /*!< current ops count */ unsigned depth; /*!< call depth (0 = top-level) */ mbedtls_ecp_restart_mul_ctx *rsm; /*!< ecp_mul_comb() sub-context */ mbedtls_ecp_restart_muladd_ctx *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 grp; /*!< Elliptic curve and base point */ mbedtls_mpi d; /*!< our secret value */ mbedtls_ecp_point Q; /*!< our public value */ } mbedtls_ecp_keypair; const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_grp_id( mbedtls_ecp_group_id ); const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_name( const char * ); const mbedtls_ecp_curve_info *mbedtls_ecp_curve_info_from_tls_id( uint16_t ); const mbedtls_ecp_curve_info *mbedtls_ecp_curve_list( void ); const mbedtls_ecp_group_id *mbedtls_ecp_grp_id_list( void ); int mbedtls_ecp_check_privkey( const mbedtls_ecp_group *, const mbedtls_mpi * ); int mbedtls_ecp_check_pub_priv( const mbedtls_ecp_keypair *, const mbedtls_ecp_keypair * ); int mbedtls_ecp_check_pubkey( const mbedtls_ecp_group *, const mbedtls_ecp_point * ); int mbedtls_ecp_copy( mbedtls_ecp_point *, const mbedtls_ecp_point * ); int mbedtls_ecp_gen_key( mbedtls_ecp_group_id, mbedtls_ecp_keypair *, int (*)(void *, unsigned char *, size_t), void * ); int mbedtls_ecp_gen_keypair( mbedtls_ecp_group *, mbedtls_mpi *, mbedtls_ecp_point *, int (*)(void *, unsigned char *, size_t), void * ); int mbedtls_ecp_gen_keypair_base( mbedtls_ecp_group *, const mbedtls_ecp_point *, mbedtls_mpi *, mbedtls_ecp_point *, int (*)(void *, unsigned char *, size_t), void * ); int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *, mbedtls_mpi *, int (*)(void *, unsigned char *, size_t), void * ); int mbedtls_ecp_group_copy( mbedtls_ecp_group *, const mbedtls_ecp_group * ); int mbedtls_ecp_group_load( mbedtls_ecp_group *, mbedtls_ecp_group_id ); int mbedtls_ecp_is_zero( mbedtls_ecp_point * ); int mbedtls_ecp_mul( mbedtls_ecp_group *, mbedtls_ecp_point *, const mbedtls_mpi *, const mbedtls_ecp_point *, int (*)(void *, unsigned char *, size_t), void * ); int mbedtls_ecp_mul_restartable( mbedtls_ecp_group *, mbedtls_ecp_point *, const mbedtls_mpi *, const mbedtls_ecp_point *, int (*)(void *, unsigned char *, size_t), void *, mbedtls_ecp_restart_ctx * ); int mbedtls_ecp_muladd( mbedtls_ecp_group *, mbedtls_ecp_point *, const mbedtls_mpi *, const mbedtls_ecp_point *, const mbedtls_mpi *, const mbedtls_ecp_point * ); int mbedtls_ecp_muladd_restartable( mbedtls_ecp_group *, mbedtls_ecp_point *, const mbedtls_mpi *, const mbedtls_ecp_point *, const mbedtls_mpi *, const mbedtls_ecp_point *, mbedtls_ecp_restart_ctx * ); int mbedtls_ecp_point_cmp( const mbedtls_ecp_point *, const mbedtls_ecp_point * ); int mbedtls_ecp_point_read_binary( const mbedtls_ecp_group *, mbedtls_ecp_point *, const unsigned char *, size_t ); int mbedtls_ecp_point_read_string( mbedtls_ecp_point *, int, const char *, const char * ); int mbedtls_ecp_point_write_binary( const mbedtls_ecp_group *, const mbedtls_ecp_point *, int, size_t *, unsigned char *, size_t ); int mbedtls_ecp_read_key( mbedtls_ecp_group_id, mbedtls_ecp_keypair *, const unsigned char *, size_t ); int mbedtls_ecp_restart_is_enabled( void ); int mbedtls_ecp_self_test( int ); int mbedtls_ecp_set_zero( mbedtls_ecp_point * ); int mbedtls_ecp_tls_read_group( mbedtls_ecp_group *, const unsigned char **, size_t ); int mbedtls_ecp_tls_read_group_id( mbedtls_ecp_group_id *, const unsigned char **, size_t ); int mbedtls_ecp_tls_read_point( const mbedtls_ecp_group *, mbedtls_ecp_point *, const unsigned char **, size_t ); int mbedtls_ecp_tls_write_group( const mbedtls_ecp_group *, size_t *, unsigned char *, size_t ); int mbedtls_ecp_tls_write_point( const mbedtls_ecp_group *, const mbedtls_ecp_point *, int, size_t *, unsigned char *, size_t ); int mbedtls_ecp_write_key( mbedtls_ecp_keypair *, unsigned char *, size_t ); int mbedtls_mpi_shift_l_mod( const mbedtls_ecp_group *, mbedtls_mpi * ); mbedtls_ecp_curve_type mbedtls_ecp_get_type( const mbedtls_ecp_group * ); void mbedtls_ecp_group_free( mbedtls_ecp_group * ); void mbedtls_ecp_group_init( mbedtls_ecp_group * ); void mbedtls_ecp_keypair_free( mbedtls_ecp_keypair * ); void mbedtls_ecp_keypair_init( mbedtls_ecp_keypair * ); void mbedtls_ecp_point_free( mbedtls_ecp_point * ); void mbedtls_ecp_point_init( mbedtls_ecp_point * ); void mbedtls_ecp_restart_free( mbedtls_ecp_restart_ctx * ); void mbedtls_ecp_restart_init( mbedtls_ecp_restart_ctx * ); void mbedtls_ecp_set_max_ops( unsigned ); int ecp_mod_p256(mbedtls_mpi *); int ecp_mod_p384(mbedtls_mpi *); COSMOPOLITAN_C_END_ #endif /* COSMOPOLITAN_THIRD_PARTY_MBEDTLS_ECP_H_ */