mirror of
https://github.com/yuzu-emu/mbedtls.git
synced 2024-11-22 12:45:39 +01:00
Merged optimizations for MODP NIST curves
This commit is contained in:
commit
3f917e230d
@ -3,6 +3,7 @@ PolarSSL ChangeLog (Sorted per branch, date)
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= PolarSSL 1.3 branch
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= PolarSSL 1.3 branch
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Features
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Features
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* PK tests added to test framework
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* PK tests added to test framework
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* Added optional optimization for NIST MODP curves (POLARSSL_ECP_NIST_OPTIM)
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Bugfix
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Bugfix
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* Server does not send out extensions not advertised by client
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* Server does not send out extensions not advertised by client
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@ -128,6 +128,7 @@ typedef uint32_t t_udbl;
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#define POLARSSL_HAVE_UDBL
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#define POLARSSL_HAVE_UDBL
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#else
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#else
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#if ( defined(_MSC_VER) && defined(_M_AMD64) )
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#if ( defined(_MSC_VER) && defined(_M_AMD64) )
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#define POLARSSL_HAVE_INT64
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typedef int64_t t_sint;
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typedef int64_t t_sint;
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typedef uint64_t t_uint;
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typedef uint64_t t_uint;
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#else
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#else
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@ -137,11 +138,13 @@ typedef uint32_t t_udbl;
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defined(__ia64__) || defined(__alpha__) || \
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defined(__ia64__) || defined(__alpha__) || \
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(defined(__sparc__) && defined(__arch64__)) || \
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(defined(__sparc__) && defined(__arch64__)) || \
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defined(__s390x__) ) )
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defined(__s390x__) ) )
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#define POLARSSL_HAVE_INT64
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typedef int64_t t_sint;
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typedef int64_t t_sint;
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typedef uint64_t t_uint;
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typedef uint64_t t_uint;
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typedef unsigned int t_udbl __attribute__((mode(TI)));
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typedef unsigned int t_udbl __attribute__((mode(TI)));
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#define POLARSSL_HAVE_UDBL
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#define POLARSSL_HAVE_UDBL
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#else
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#else
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#define POLARSSL_HAVE_INT32
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typedef int32_t t_sint;
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typedef int32_t t_sint;
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typedef uint32_t t_uint;
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typedef uint32_t t_uint;
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#if ( defined(_MSC_VER) && defined(_M_IX86) )
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#if ( defined(_MSC_VER) && defined(_M_IX86) )
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@ -259,6 +259,17 @@
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#define POLARSSL_ECP_DP_BP384R1_ENABLED
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#define POLARSSL_ECP_DP_BP384R1_ENABLED
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#define POLARSSL_ECP_DP_BP512R1_ENABLED
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#define POLARSSL_ECP_DP_BP512R1_ENABLED
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/**
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* \def POLARSSL_ECP_NIST_OPTIM
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*
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* Enable specific 'modulo p' routines for each NIST prime.
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* Depending on the prime and architecture, makes operations 4 to 8 times
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* faster on the corresponding curve.
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*
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* Comment this macro to disable NIST curves optimisation.
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*/
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#define POLARSSL_ECP_NIST_OPTIM
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/**
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/**
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* \def POLARSSL_KEY_EXCHANGE_PSK_ENABLED
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* \def POLARSSL_KEY_EXCHANGE_PSK_ENABLED
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*
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*
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@ -186,6 +186,24 @@ ecp_keypair;
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*/
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*/
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const ecp_curve_info *ecp_curve_list( void );
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const ecp_curve_info *ecp_curve_list( void );
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/**
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* \brief Get curve information from an internal group identifier
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*
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* \param grp_id A POLARSSL_ECP_DP_XXX value
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*
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* \return The associated curve information or NULL
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*/
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const ecp_curve_info *ecp_curve_info_from_grp_id( ecp_group_id grp_id );
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/**
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* \brief Get curve information from a TLS NamedCurve value
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*
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* \param grp_id A POLARSSL_ECP_DP_XXX value
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*
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* \return The associated curve information or NULL
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*/
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const ecp_curve_info *ecp_curve_info_from_tls_id( uint16_t tls_id );
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/**
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/**
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* \brief Initialize a point (as zero)
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* \brief Initialize a point (as zero)
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*/
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*/
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@ -216,25 +234,6 @@ void ecp_group_free( ecp_group *grp );
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*/
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*/
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void ecp_keypair_free( ecp_keypair *key );
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void ecp_keypair_free( ecp_keypair *key );
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/**
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* \brief Set a point to zero
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*
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* \param pt Destination point
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*
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* \return 0 if successful,
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* POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
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*/
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int ecp_set_zero( ecp_point *pt );
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/**
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* \brief Tell if a point is zero
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*
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* \param pt Point to test
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*
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* \return 1 if point is zero, 0 otherwise
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*/
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int ecp_is_zero( ecp_point *pt );
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/**
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/**
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* \brief Copy the contents of point Q into P
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* \brief Copy the contents of point Q into P
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*
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*
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@ -257,6 +256,25 @@ int ecp_copy( ecp_point *P, const ecp_point *Q );
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*/
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*/
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int ecp_group_copy( ecp_group *dst, const ecp_group *src );
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int ecp_group_copy( ecp_group *dst, const ecp_group *src );
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/**
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* \brief Set a point to zero
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*
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* \param pt Destination point
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*
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* \return 0 if successful,
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* POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
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*/
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int ecp_set_zero( ecp_point *pt );
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/**
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* \brief Tell if a point is zero
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*
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* \param pt Point to test
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*
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* \return 1 if point is zero, 0 otherwise
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*/
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int ecp_is_zero( ecp_point *pt );
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/**
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/**
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* \brief Import a non-zero point from two ASCII strings
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* \brief Import a non-zero point from two ASCII strings
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*
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*
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@ -270,25 +288,6 @@ int ecp_group_copy( ecp_group *dst, const ecp_group *src );
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int ecp_point_read_string( ecp_point *P, int radix,
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int ecp_point_read_string( ecp_point *P, int radix,
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const char *x, const char *y );
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const char *x, const char *y );
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/**
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* \brief Import an ECP group from null-terminated ASCII strings
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*
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* \param grp Destination group
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* \param radix Input numeric base
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* \param p Prime modulus of the base field
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* \param b Constant term in the equation
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* \param gx The generator's X coordinate
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* \param gy The generator's Y coordinate
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* \param n The generator's order
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*
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* \return 0 if successful, or a POLARSSL_ERR_MPI_XXX error code
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*
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* \note Sets all fields except modp.
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*/
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int ecp_group_read_string( ecp_group *grp, int radix,
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const char *p, const char *b,
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const char *gx, const char *gy, const char *n);
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/**
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/**
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* \brief Export a point into unsigned binary data
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* \brief Export a point into unsigned binary data
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*
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*
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@ -326,6 +325,58 @@ int ecp_point_write_binary( const ecp_group *grp, const ecp_point *P,
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int ecp_point_read_binary( const ecp_group *grp, ecp_point *P,
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int ecp_point_read_binary( const ecp_group *grp, ecp_point *P,
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const unsigned char *buf, size_t ilen );
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const unsigned char *buf, size_t ilen );
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/**
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* \brief Import a point from a TLS ECPoint record
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*
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* \param grp ECP group used
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* \param pt Destination point
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* \param buf $(Start of input buffer)
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* \param len Buffer length
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*
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* \return O if successful,
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* POLARSSL_ERR_MPI_XXX if initialization failed
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* POLARSSL_ERR_ECP_BAD_INPUT_DATA if input is invalid
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*/
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int ecp_tls_read_point( const ecp_group *grp, ecp_point *pt,
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const unsigned char **buf, size_t len );
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/**
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* \brief Export a point as a TLS ECPoint record
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*
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* \param grp ECP group used
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* \param pt Point to export
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* \param format Export format
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* \param olen length of data written
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* \param buf Buffer to write to
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* \param blen Buffer length
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*
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* \return 0 if successful,
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* or POLARSSL_ERR_ECP_BAD_INPUT_DATA
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* or POLARSSL_ERR_ECP_BUFFER_TOO_SMALL
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*/
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int ecp_tls_write_point( const ecp_group *grp, const ecp_point *pt,
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int format, size_t *olen,
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unsigned char *buf, size_t blen );
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/**
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* \brief Import an ECP group from null-terminated ASCII strings
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*
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* \param grp Destination group
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* \param radix Input numeric base
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* \param p Prime modulus of the base field
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* \param b Constant term in the equation
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* \param gx The generator's X coordinate
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* \param gy The generator's Y coordinate
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* \param n The generator's order
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*
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* \return 0 if successful, or a POLARSSL_ERR_MPI_XXX error code
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*
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* \note Sets all fields except modp.
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*/
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int ecp_group_read_string( ecp_group *grp, int radix,
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const char *p, const char *b,
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const char *gx, const char *gy, const char *n);
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/**
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/**
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* \brief Set a group using well-known domain parameters
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* \brief Set a group using well-known domain parameters
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*
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*
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@ -368,57 +419,6 @@ int ecp_tls_read_group( ecp_group *grp, const unsigned char **buf, size_t len );
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int ecp_tls_write_group( const ecp_group *grp, size_t *olen,
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int ecp_tls_write_group( const ecp_group *grp, size_t *olen,
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unsigned char *buf, size_t blen );
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unsigned char *buf, size_t blen );
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|
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/**
|
|
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* \brief Get curve information from an internal group identifier
|
|
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*
|
|
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* \param grp_id A POLARSSL_ECP_DP_XXX value
|
|
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*
|
|
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* \return The associated curve information or NULL
|
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*/
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const ecp_curve_info *ecp_curve_info_from_grp_id( ecp_group_id grp_id );
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/**
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* \brief Get curve information from a TLS NamedCurve value
|
|
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*
|
|
||||||
* \param grp_id A POLARSSL_ECP_DP_XXX value
|
|
||||||
*
|
|
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* \return The associated curve information or NULL
|
|
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*/
|
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const ecp_curve_info *ecp_curve_info_from_tls_id( uint16_t tls_id );
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/**
|
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* \brief Import a point from a TLS ECPoint record
|
|
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*
|
|
||||||
* \param grp ECP group used
|
|
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* \param pt Destination point
|
|
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* \param buf $(Start of input buffer)
|
|
||||||
* \param len Buffer length
|
|
||||||
*
|
|
||||||
* \return O if successful,
|
|
||||||
* POLARSSL_ERR_MPI_XXX if initialization failed
|
|
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* POLARSSL_ERR_ECP_BAD_INPUT_DATA if input is invalid
|
|
||||||
*/
|
|
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int ecp_tls_read_point( const ecp_group *grp, ecp_point *pt,
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|
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const unsigned char **buf, size_t len );
|
|
||||||
|
|
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/**
|
|
||||||
* \brief Export a point as a TLS ECPoint record
|
|
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*
|
|
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* \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
|
|
||||||
*/
|
|
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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 Addition: R = P + Q
|
* \brief Addition: R = P + Q
|
||||||
*
|
*
|
||||||
|
756
library/ecp.c
756
library/ecp.c
@ -111,6 +111,42 @@ const ecp_curve_info *ecp_curve_list( void )
|
|||||||
return ecp_supported_curves;
|
return ecp_supported_curves;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Get the curve info for the internal identifer
|
||||||
|
*/
|
||||||
|
const ecp_curve_info *ecp_curve_info_from_grp_id( ecp_group_id grp_id )
|
||||||
|
{
|
||||||
|
const ecp_curve_info *curve_info;
|
||||||
|
|
||||||
|
for( curve_info = ecp_curve_list();
|
||||||
|
curve_info->grp_id != POLARSSL_ECP_DP_NONE;
|
||||||
|
curve_info++ )
|
||||||
|
{
|
||||||
|
if( curve_info->grp_id == grp_id )
|
||||||
|
return( curve_info );
|
||||||
|
}
|
||||||
|
|
||||||
|
return( NULL );
|
||||||
|
}
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Get the curve info from the TLS identifier
|
||||||
|
*/
|
||||||
|
const ecp_curve_info *ecp_curve_info_from_tls_id( uint16_t tls_id )
|
||||||
|
{
|
||||||
|
const ecp_curve_info *curve_info;
|
||||||
|
|
||||||
|
for( curve_info = ecp_curve_list();
|
||||||
|
curve_info->grp_id != POLARSSL_ECP_DP_NONE;
|
||||||
|
curve_info++ )
|
||||||
|
{
|
||||||
|
if( curve_info->tls_id == tls_id )
|
||||||
|
return( curve_info );
|
||||||
|
}
|
||||||
|
|
||||||
|
return( NULL );
|
||||||
|
}
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Initialize (the components of) a point
|
* Initialize (the components of) a point
|
||||||
*/
|
*/
|
||||||
@ -200,6 +236,29 @@ void ecp_keypair_free( ecp_keypair *key )
|
|||||||
ecp_point_free( &key->Q );
|
ecp_point_free( &key->Q );
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Copy the contents of a point
|
||||||
|
*/
|
||||||
|
int ecp_copy( ecp_point *P, const ecp_point *Q )
|
||||||
|
{
|
||||||
|
int ret;
|
||||||
|
|
||||||
|
MPI_CHK( mpi_copy( &P->X, &Q->X ) );
|
||||||
|
MPI_CHK( mpi_copy( &P->Y, &Q->Y ) );
|
||||||
|
MPI_CHK( mpi_copy( &P->Z, &Q->Z ) );
|
||||||
|
|
||||||
|
cleanup:
|
||||||
|
return( ret );
|
||||||
|
}
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Copy the contents of a group object
|
||||||
|
*/
|
||||||
|
int ecp_group_copy( ecp_group *dst, const ecp_group *src )
|
||||||
|
{
|
||||||
|
return ecp_use_known_dp( dst, src->id );
|
||||||
|
}
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Set point to zero
|
* Set point to zero
|
||||||
*/
|
*/
|
||||||
@ -223,29 +282,6 @@ int ecp_is_zero( ecp_point *pt )
|
|||||||
return( mpi_cmp_int( &pt->Z, 0 ) == 0 );
|
return( mpi_cmp_int( &pt->Z, 0 ) == 0 );
|
||||||
}
|
}
|
||||||
|
|
||||||
/*
|
|
||||||
* Copy the contents of Q into P
|
|
||||||
*/
|
|
||||||
int ecp_copy( ecp_point *P, const ecp_point *Q )
|
|
||||||
{
|
|
||||||
int ret;
|
|
||||||
|
|
||||||
MPI_CHK( mpi_copy( &P->X, &Q->X ) );
|
|
||||||
MPI_CHK( mpi_copy( &P->Y, &Q->Y ) );
|
|
||||||
MPI_CHK( mpi_copy( &P->Z, &Q->Z ) );
|
|
||||||
|
|
||||||
cleanup:
|
|
||||||
return( ret );
|
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Copy the contents of a group object
|
|
||||||
*/
|
|
||||||
int ecp_group_copy( ecp_group *dst, const ecp_group *src )
|
|
||||||
{
|
|
||||||
return ecp_use_known_dp( dst, src->id );
|
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Import a non-zero point from ASCII strings
|
* Import a non-zero point from ASCII strings
|
||||||
*/
|
*/
|
||||||
@ -262,50 +298,6 @@ cleanup:
|
|||||||
return( ret );
|
return( ret );
|
||||||
}
|
}
|
||||||
|
|
||||||
/*
|
|
||||||
* Import an ECP group from ASCII strings, general case (A used)
|
|
||||||
*/
|
|
||||||
static int ecp_group_read_string_gen( ecp_group *grp, int radix,
|
|
||||||
const char *p, const char *a, const char *b,
|
|
||||||
const char *gx, const char *gy, const char *n)
|
|
||||||
{
|
|
||||||
int ret;
|
|
||||||
|
|
||||||
MPI_CHK( mpi_read_string( &grp->P, radix, p ) );
|
|
||||||
MPI_CHK( mpi_read_string( &grp->A, radix, a ) );
|
|
||||||
MPI_CHK( mpi_read_string( &grp->B, radix, b ) );
|
|
||||||
MPI_CHK( ecp_point_read_string( &grp->G, radix, gx, gy ) );
|
|
||||||
MPI_CHK( mpi_read_string( &grp->N, radix, n ) );
|
|
||||||
|
|
||||||
grp->pbits = mpi_msb( &grp->P );
|
|
||||||
grp->nbits = mpi_msb( &grp->N );
|
|
||||||
|
|
||||||
cleanup:
|
|
||||||
if( ret != 0 )
|
|
||||||
ecp_group_free( grp );
|
|
||||||
|
|
||||||
return( ret );
|
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Import an ECP group from ASCII strings, case A == -3
|
|
||||||
*/
|
|
||||||
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)
|
|
||||||
{
|
|
||||||
int ret;
|
|
||||||
|
|
||||||
MPI_CHK( ecp_group_read_string_gen( grp, radix, p, "00", b, gx, gy, n ) );
|
|
||||||
MPI_CHK( mpi_add_int( &grp->A, &grp->P, -3 ) );
|
|
||||||
|
|
||||||
cleanup:
|
|
||||||
if( ret != 0 )
|
|
||||||
ecp_group_free( grp );
|
|
||||||
|
|
||||||
return( ret );
|
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Export a point into unsigned binary data (SEC1 2.3.3)
|
* Export a point into unsigned binary data (SEC1 2.3.3)
|
||||||
*/
|
*/
|
||||||
@ -449,150 +441,48 @@ int ecp_tls_write_point( const ecp_group *grp, const ecp_point *pt,
|
|||||||
}
|
}
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Wrapper around fast quasi-modp functions, with fall-back to mpi_mod_mpi.
|
* Import an ECP group from ASCII strings, general case (A used)
|
||||||
* See the documentation of struct ecp_group.
|
|
||||||
*/
|
*/
|
||||||
static int ecp_modp( mpi *N, const ecp_group *grp )
|
static int ecp_group_read_string_gen( ecp_group *grp, int radix,
|
||||||
|
const char *p, const char *a, const char *b,
|
||||||
|
const char *gx, const char *gy, const char *n)
|
||||||
{
|
{
|
||||||
int ret;
|
int ret;
|
||||||
|
|
||||||
if( grp->modp == NULL )
|
MPI_CHK( mpi_read_string( &grp->P, radix, p ) );
|
||||||
return( mpi_mod_mpi( N, N, &grp->P ) );
|
MPI_CHK( mpi_read_string( &grp->A, radix, a ) );
|
||||||
|
MPI_CHK( mpi_read_string( &grp->B, radix, b ) );
|
||||||
|
MPI_CHK( ecp_point_read_string( &grp->G, radix, gx, gy ) );
|
||||||
|
MPI_CHK( mpi_read_string( &grp->N, radix, n ) );
|
||||||
|
|
||||||
if( mpi_cmp_int( N, 0 ) < 0 || mpi_msb( N ) > 2 * grp->pbits )
|
grp->pbits = mpi_msb( &grp->P );
|
||||||
return( POLARSSL_ERR_ECP_BAD_INPUT_DATA );
|
grp->nbits = mpi_msb( &grp->N );
|
||||||
|
|
||||||
MPI_CHK( grp->modp( N ) );
|
|
||||||
|
|
||||||
while( mpi_cmp_int( N, 0 ) < 0 )
|
|
||||||
MPI_CHK( mpi_add_mpi( N, N, &grp->P ) );
|
|
||||||
|
|
||||||
while( mpi_cmp_mpi( N, &grp->P ) >= 0 )
|
|
||||||
MPI_CHK( mpi_sub_mpi( N, N, &grp->P ) );
|
|
||||||
|
|
||||||
cleanup:
|
cleanup:
|
||||||
|
if( ret != 0 )
|
||||||
|
ecp_group_free( grp );
|
||||||
|
|
||||||
return( ret );
|
return( ret );
|
||||||
}
|
}
|
||||||
|
|
||||||
#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
|
|
||||||
/*
|
/*
|
||||||
* 192 bits in terms of t_uint
|
* Import an ECP group from ASCII strings, case A == -3
|
||||||
*/
|
*/
|
||||||
#define P192_SIZE_INT ( 192 / CHAR_BIT / sizeof( t_uint ) )
|
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)
|
||||||
* Table to get S1, S2, S3 of FIPS 186-3 D.2.1:
|
|
||||||
* -1 means let this chunk be 0
|
|
||||||
* a positive value i means A_i.
|
|
||||||
*/
|
|
||||||
#define P192_CHUNKS 3
|
|
||||||
#define P192_CHUNK_CHAR ( 64 / CHAR_BIT )
|
|
||||||
#define P192_CHUNK_INT ( P192_CHUNK_CHAR / sizeof( t_uint ) )
|
|
||||||
|
|
||||||
const signed char p192_tbl[][P192_CHUNKS] = {
|
|
||||||
{ -1, 3, 3 }, /* S1 */
|
|
||||||
{ 4, 4, -1 }, /* S2 */
|
|
||||||
{ 5, 5, 5 }, /* S3 */
|
|
||||||
};
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
|
|
||||||
*/
|
|
||||||
static int ecp_mod_p192( mpi *N )
|
|
||||||
{
|
{
|
||||||
int ret;
|
int ret;
|
||||||
unsigned char i, j, offset;
|
|
||||||
signed char chunk;
|
|
||||||
mpi tmp, acc;
|
|
||||||
t_uint tmp_p[P192_SIZE_INT], acc_p[P192_SIZE_INT + 1];
|
|
||||||
|
|
||||||
tmp.s = 1;
|
MPI_CHK( ecp_group_read_string_gen( grp, radix, p, "00", b, gx, gy, n ) );
|
||||||
tmp.n = sizeof( tmp_p ) / sizeof( tmp_p[0] );
|
MPI_CHK( mpi_add_int( &grp->A, &grp->P, -3 ) );
|
||||||
tmp.p = tmp_p;
|
|
||||||
|
|
||||||
acc.s = 1;
|
|
||||||
acc.n = sizeof( acc_p ) / sizeof( acc_p[0] );
|
|
||||||
acc.p = acc_p;
|
|
||||||
|
|
||||||
MPI_CHK( mpi_grow( N, P192_SIZE_INT * 2 ) );
|
|
||||||
|
|
||||||
/*
|
|
||||||
* acc = T
|
|
||||||
*/
|
|
||||||
memset( acc_p, 0, sizeof( acc_p ) );
|
|
||||||
memcpy( acc_p, N->p, P192_CHUNK_CHAR * P192_CHUNKS );
|
|
||||||
|
|
||||||
for( i = 0; i < sizeof( p192_tbl ) / sizeof( p192_tbl[0] ); i++)
|
|
||||||
{
|
|
||||||
/*
|
|
||||||
* tmp = S_i
|
|
||||||
*/
|
|
||||||
memset( tmp_p, 0, sizeof( tmp_p ) );
|
|
||||||
for( j = 0, offset = P192_CHUNKS - 1; j < P192_CHUNKS; j++, offset-- )
|
|
||||||
{
|
|
||||||
chunk = p192_tbl[i][j];
|
|
||||||
if( chunk >= 0 )
|
|
||||||
memcpy( tmp_p + offset * P192_CHUNK_INT,
|
|
||||||
N->p + chunk * P192_CHUNK_INT,
|
|
||||||
P192_CHUNK_CHAR );
|
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
|
||||||
* acc += tmp
|
|
||||||
*/
|
|
||||||
MPI_CHK( mpi_add_abs( &acc, &acc, &tmp ) );
|
|
||||||
}
|
|
||||||
|
|
||||||
MPI_CHK( mpi_copy( N, &acc ) );
|
|
||||||
|
|
||||||
cleanup:
|
cleanup:
|
||||||
|
if( ret != 0 )
|
||||||
|
ecp_group_free( grp );
|
||||||
|
|
||||||
return( ret );
|
return( ret );
|
||||||
}
|
}
|
||||||
#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
|
|
||||||
|
|
||||||
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
|
|
||||||
/*
|
|
||||||
* Size of p521 in terms of t_uint
|
|
||||||
*/
|
|
||||||
#define P521_SIZE_INT ( 521 / CHAR_BIT / sizeof( t_uint ) + 1 )
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Bits to keep in the most significant t_uint
|
|
||||||
*/
|
|
||||||
#if defined(POLARSS_HAVE_INT8)
|
|
||||||
#define P521_MASK 0x01
|
|
||||||
#else
|
|
||||||
#define P521_MASK 0x01FF
|
|
||||||
#endif
|
|
||||||
|
|
||||||
/*
|
|
||||||
* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
|
|
||||||
*/
|
|
||||||
static int ecp_mod_p521( mpi *N )
|
|
||||||
{
|
|
||||||
int ret;
|
|
||||||
t_uint Mp[P521_SIZE_INT];
|
|
||||||
mpi M;
|
|
||||||
|
|
||||||
if( N->n < P521_SIZE_INT )
|
|
||||||
return( 0 );
|
|
||||||
|
|
||||||
memset( Mp, 0, P521_SIZE_INT * sizeof( t_uint ) );
|
|
||||||
memcpy( Mp, N->p, P521_SIZE_INT * sizeof( t_uint ) );
|
|
||||||
Mp[P521_SIZE_INT - 1] &= P521_MASK;
|
|
||||||
|
|
||||||
M.s = 1;
|
|
||||||
M.n = P521_SIZE_INT;
|
|
||||||
M.p = Mp;
|
|
||||||
|
|
||||||
MPI_CHK( mpi_shift_r( N, 521 ) );
|
|
||||||
|
|
||||||
MPI_CHK( mpi_add_abs( N, N, &M ) );
|
|
||||||
|
|
||||||
cleanup:
|
|
||||||
return( ret );
|
|
||||||
}
|
|
||||||
#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
|
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Domain parameters for secp192r1
|
* Domain parameters for secp192r1
|
||||||
@ -739,6 +629,15 @@ cleanup:
|
|||||||
"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308" \
|
"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308" \
|
||||||
"70553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069"
|
"70553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069"
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||||
|
/* Forward declarations */
|
||||||
|
static int ecp_mod_p192( mpi * );
|
||||||
|
static int ecp_mod_p224( mpi * );
|
||||||
|
static int ecp_mod_p256( mpi * );
|
||||||
|
static int ecp_mod_p384( mpi * );
|
||||||
|
static int ecp_mod_p521( mpi * );
|
||||||
|
#endif
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Set a group using well-known domain parameters
|
* Set a group using well-known domain parameters
|
||||||
*/
|
*/
|
||||||
@ -750,7 +649,9 @@ int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
|
|||||||
{
|
{
|
||||||
#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
|
#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
|
||||||
case POLARSSL_ECP_DP_SECP192R1:
|
case POLARSSL_ECP_DP_SECP192R1:
|
||||||
|
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||||
grp->modp = ecp_mod_p192;
|
grp->modp = ecp_mod_p192;
|
||||||
|
#endif
|
||||||
return( ecp_group_read_string( grp, 16,
|
return( ecp_group_read_string( grp, 16,
|
||||||
SECP192R1_P, SECP192R1_B,
|
SECP192R1_P, SECP192R1_B,
|
||||||
SECP192R1_GX, SECP192R1_GY, SECP192R1_N ) );
|
SECP192R1_GX, SECP192R1_GY, SECP192R1_N ) );
|
||||||
@ -758,6 +659,9 @@ int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
|
|||||||
|
|
||||||
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
|
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
|
||||||
case POLARSSL_ECP_DP_SECP224R1:
|
case POLARSSL_ECP_DP_SECP224R1:
|
||||||
|
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||||
|
grp->modp = ecp_mod_p224;
|
||||||
|
#endif
|
||||||
return( ecp_group_read_string( grp, 16,
|
return( ecp_group_read_string( grp, 16,
|
||||||
SECP224R1_P, SECP224R1_B,
|
SECP224R1_P, SECP224R1_B,
|
||||||
SECP224R1_GX, SECP224R1_GY, SECP224R1_N ) );
|
SECP224R1_GX, SECP224R1_GY, SECP224R1_N ) );
|
||||||
@ -765,6 +669,9 @@ int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
|
|||||||
|
|
||||||
#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
|
#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
|
||||||
case POLARSSL_ECP_DP_SECP256R1:
|
case POLARSSL_ECP_DP_SECP256R1:
|
||||||
|
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||||
|
grp->modp = ecp_mod_p256;
|
||||||
|
#endif
|
||||||
return( ecp_group_read_string( grp, 16,
|
return( ecp_group_read_string( grp, 16,
|
||||||
SECP256R1_P, SECP256R1_B,
|
SECP256R1_P, SECP256R1_B,
|
||||||
SECP256R1_GX, SECP256R1_GY, SECP256R1_N ) );
|
SECP256R1_GX, SECP256R1_GY, SECP256R1_N ) );
|
||||||
@ -772,6 +679,9 @@ int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
|
|||||||
|
|
||||||
#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||||
case POLARSSL_ECP_DP_SECP384R1:
|
case POLARSSL_ECP_DP_SECP384R1:
|
||||||
|
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||||
|
grp->modp = ecp_mod_p384;
|
||||||
|
#endif
|
||||||
return( ecp_group_read_string( grp, 16,
|
return( ecp_group_read_string( grp, 16,
|
||||||
SECP384R1_P, SECP384R1_B,
|
SECP384R1_P, SECP384R1_B,
|
||||||
SECP384R1_GX, SECP384R1_GY, SECP384R1_N ) );
|
SECP384R1_GX, SECP384R1_GY, SECP384R1_N ) );
|
||||||
@ -779,7 +689,9 @@ int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
|
|||||||
|
|
||||||
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
|
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
|
||||||
case POLARSSL_ECP_DP_SECP521R1:
|
case POLARSSL_ECP_DP_SECP521R1:
|
||||||
|
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||||
grp->modp = ecp_mod_p521;
|
grp->modp = ecp_mod_p521;
|
||||||
|
#endif
|
||||||
return( ecp_group_read_string( grp, 16,
|
return( ecp_group_read_string( grp, 16,
|
||||||
SECP521R1_P, SECP521R1_B,
|
SECP521R1_P, SECP521R1_B,
|
||||||
SECP521R1_GX, SECP521R1_GY, SECP521R1_N ) );
|
SECP521R1_GX, SECP521R1_GY, SECP521R1_N ) );
|
||||||
@ -878,39 +790,37 @@ int ecp_tls_write_group( const ecp_group *grp, size_t *olen,
|
|||||||
}
|
}
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Get the curve info from the TLS identifier
|
* Wrapper around fast quasi-modp functions, with fall-back to mpi_mod_mpi.
|
||||||
|
* See the documentation of struct ecp_group.
|
||||||
|
*
|
||||||
|
* This function is in the critial loop for ecp_mul, so pay attention to perf.
|
||||||
*/
|
*/
|
||||||
const ecp_curve_info *ecp_curve_info_from_tls_id( uint16_t tls_id )
|
static int ecp_modp( mpi *N, const ecp_group *grp )
|
||||||
{
|
{
|
||||||
const ecp_curve_info *curve_info;
|
int ret;
|
||||||
|
|
||||||
for( curve_info = ecp_curve_list();
|
if( grp->modp == NULL )
|
||||||
curve_info->grp_id != POLARSSL_ECP_DP_NONE;
|
return( mpi_mod_mpi( N, N, &grp->P ) );
|
||||||
curve_info++ )
|
|
||||||
|
/* N->s < 0 is a much faster test, which fails only if N is 0 */
|
||||||
|
if( ( N->s < 0 && mpi_cmp_int( N, 0 ) != 0 ) ||
|
||||||
|
mpi_msb( N ) > 2 * grp->pbits )
|
||||||
{
|
{
|
||||||
if( curve_info->tls_id == tls_id )
|
return( POLARSSL_ERR_ECP_BAD_INPUT_DATA );
|
||||||
return( curve_info );
|
|
||||||
}
|
}
|
||||||
|
|
||||||
return( NULL );
|
MPI_CHK( grp->modp( N ) );
|
||||||
}
|
|
||||||
|
|
||||||
/*
|
/* N->s < 0 is a much faster test, which fails only if N is 0 */
|
||||||
* Get the curve info for the internal identifer
|
while( N->s < 0 && mpi_cmp_int( N, 0 ) != 0 )
|
||||||
*/
|
MPI_CHK( mpi_add_mpi( N, N, &grp->P ) );
|
||||||
const ecp_curve_info *ecp_curve_info_from_grp_id( ecp_group_id grp_id )
|
|
||||||
{
|
|
||||||
const ecp_curve_info *curve_info;
|
|
||||||
|
|
||||||
for( curve_info = ecp_curve_list();
|
while( mpi_cmp_mpi( N, &grp->P ) >= 0 )
|
||||||
curve_info->grp_id != POLARSSL_ECP_DP_NONE;
|
/* we known P, N and the result are positive */
|
||||||
curve_info++ )
|
MPI_CHK( mpi_sub_abs( N, N, &grp->P ) );
|
||||||
{
|
|
||||||
if( curve_info->grp_id == grp_id )
|
|
||||||
return( curve_info );
|
|
||||||
}
|
|
||||||
|
|
||||||
return( NULL );
|
cleanup:
|
||||||
|
return( ret );
|
||||||
}
|
}
|
||||||
|
|
||||||
/*
|
/*
|
||||||
@ -930,17 +840,20 @@ const ecp_curve_info *ecp_curve_info_from_grp_id( ecp_group_id grp_id )
|
|||||||
|
|
||||||
/*
|
/*
|
||||||
* Reduce a mpi mod p in-place, to use after mpi_sub_mpi
|
* Reduce a mpi mod p in-place, to use after mpi_sub_mpi
|
||||||
|
* N->s < 0 is a very fast test, which fails only if N is 0
|
||||||
*/
|
*/
|
||||||
#define MOD_SUB( N ) \
|
#define MOD_SUB( N ) \
|
||||||
while( mpi_cmp_int( &N, 0 ) < 0 ) \
|
while( N.s < 0 && mpi_cmp_int( &N, 0 ) != 0 ) \
|
||||||
MPI_CHK( mpi_add_mpi( &N, &N, &grp->P ) )
|
MPI_CHK( mpi_add_mpi( &N, &N, &grp->P ) )
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Reduce a mpi mod p in-place, to use after mpi_add_mpi and mpi_mul_int
|
* Reduce a mpi mod p in-place, to use after mpi_add_mpi and mpi_mul_int.
|
||||||
|
* We known P, N and the result are positive, so sub_abs is correct, and
|
||||||
|
* a bit faster.
|
||||||
*/
|
*/
|
||||||
#define MOD_ADD( N ) \
|
#define MOD_ADD( N ) \
|
||||||
while( mpi_cmp_mpi( &N, &grp->P ) >= 0 ) \
|
while( mpi_cmp_mpi( &N, &grp->P ) >= 0 ) \
|
||||||
MPI_CHK( mpi_sub_mpi( &N, &N, &grp->P ) )
|
MPI_CHK( mpi_sub_abs( &N, &N, &grp->P ) )
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Normalize jacobian coordinates so that Z == 0 || Z == 1 (GECC 3.2.1)
|
* Normalize jacobian coordinates so that Z == 0 || Z == 1 (GECC 3.2.1)
|
||||||
@ -1117,7 +1030,7 @@ cleanup:
|
|||||||
}
|
}
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Addition or subtraction: R = P + Q or R = P + Q,
|
* Addition or subtraction: R = P + Q or R = P - Q,
|
||||||
* mixed affine-Jacobian coordinates (GECC 3.22)
|
* mixed affine-Jacobian coordinates (GECC 3.22)
|
||||||
*
|
*
|
||||||
* The coordinates of Q must be normalized (= affine),
|
* The coordinates of Q must be normalized (= affine),
|
||||||
@ -1667,6 +1580,409 @@ int ecp_gen_keypair( ecp_group *grp, mpi *d, ecp_point *Q,
|
|||||||
return( ecp_mul( grp, Q, d, &grp->G, f_rng, p_rng ) );
|
return( ecp_mul( grp, Q, d, &grp->G, f_rng, p_rng ) );
|
||||||
}
|
}
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||||
|
/*
|
||||||
|
* Fast reduction modulo the primes used by the NIST curves.
|
||||||
|
*
|
||||||
|
* These functions are: critical for speed, but not need for correct
|
||||||
|
* operations. So, we make the choice to heavily rely on the internals of our
|
||||||
|
* bignum library, which creates a tight coupling between these functions and
|
||||||
|
* our MPI implementation. However, the coupling between the ECP module and
|
||||||
|
* MPI remains loose, since these functions can be deactivated at will.
|
||||||
|
*/
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
|
||||||
|
/*
|
||||||
|
* Compared to the way things are presented in FIPS 186-3 D.2,
|
||||||
|
* we proceed in columns, from right (least significant chunk) to left,
|
||||||
|
* adding chunks to N in place, and keeping a carry for the next chunk.
|
||||||
|
* This avoids moving things around in memory, and uselessly adding zeros,
|
||||||
|
* compared to the more straightforward, line-oriented approach.
|
||||||
|
*
|
||||||
|
* For this prime we need to handle data in chunks of 64 bits.
|
||||||
|
* Since this is always a multiple of our basic t_uint, we can
|
||||||
|
* use a t_uint * to designate such a chunk, and small loops to handle it.
|
||||||
|
*/
|
||||||
|
|
||||||
|
/* Add 64-bit chunks (dst += src) and update carry */
|
||||||
|
static inline void add64( t_uint *dst, t_uint *src, t_uint *carry )
|
||||||
|
{
|
||||||
|
unsigned char i;
|
||||||
|
t_uint c = 0;
|
||||||
|
for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++, src++ )
|
||||||
|
{
|
||||||
|
*dst += c; c = ( *dst < c );
|
||||||
|
*dst += *src; c += ( *dst < *src );
|
||||||
|
}
|
||||||
|
*carry += c;
|
||||||
|
}
|
||||||
|
|
||||||
|
/* Add carry to a 64-bit chunk and update carry */
|
||||||
|
static inline void carry64( t_uint *dst, t_uint *carry )
|
||||||
|
{
|
||||||
|
unsigned char i;
|
||||||
|
for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++ )
|
||||||
|
{
|
||||||
|
*dst += *carry;
|
||||||
|
*carry = ( *dst < *carry );
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
#define WIDTH 8 / sizeof( t_uint )
|
||||||
|
#define A( i ) N->p + i * WIDTH
|
||||||
|
#define ADD( i ) add64( p, A( i ), &c )
|
||||||
|
#define NEXT p += WIDTH; carry64( p, &c )
|
||||||
|
#define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
|
||||||
|
*/
|
||||||
|
static int ecp_mod_p192( mpi *N )
|
||||||
|
{
|
||||||
|
int ret;
|
||||||
|
t_uint c = 0;
|
||||||
|
t_uint *p, *end;
|
||||||
|
|
||||||
|
/* Make sure we have enough blocks so that A(5) is legal */
|
||||||
|
MPI_CHK( mpi_grow( N, 6 * WIDTH ) );
|
||||||
|
|
||||||
|
p = N->p;
|
||||||
|
end = p + N->n;
|
||||||
|
|
||||||
|
ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
|
||||||
|
ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
|
||||||
|
ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
|
||||||
|
|
||||||
|
cleanup:
|
||||||
|
return( ret );
|
||||||
|
}
|
||||||
|
|
||||||
|
#undef WIDTH
|
||||||
|
#undef A
|
||||||
|
#undef ADD
|
||||||
|
#undef NEXT
|
||||||
|
#undef LAST
|
||||||
|
#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED) || \
|
||||||
|
defined(POLARSSL_ECP_DP_SECP256R1_ENABLED) || \
|
||||||
|
defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||||
|
/*
|
||||||
|
* The reader is advised to first understand ecp_mod_p192() since the same
|
||||||
|
* general structure is used here, but with additional complications:
|
||||||
|
* (1) chunks of 32 bits, and (2) subtractions.
|
||||||
|
*/
|
||||||
|
|
||||||
|
/*
|
||||||
|
* For these primes, we need to handle data in chunks of 32 bits.
|
||||||
|
* This makes it more complicated if we use 64 bits limbs in MPI,
|
||||||
|
* which prevents us from using a uniform access method as for p192.
|
||||||
|
*
|
||||||
|
* So, we define a mini abstraction layer to access 32 bit chunks,
|
||||||
|
* load them in 'cur' for work, and store them back from 'cur' when done.
|
||||||
|
*
|
||||||
|
* While at it, also define the size of N in terms of 32-bit chunks.
|
||||||
|
*/
|
||||||
|
#define LOAD32 cur = A( i );
|
||||||
|
|
||||||
|
#if defined(POLARSSL_HAVE_INT8) /* 8 bit */
|
||||||
|
|
||||||
|
#define MAX32 N->n / 4
|
||||||
|
#define A( j ) (uint32_t)( N->p[4*j+0] ) | \
|
||||||
|
( N->p[4*j+1] << 8 ) | \
|
||||||
|
( N->p[4*j+2] << 16 ) | \
|
||||||
|
( N->p[4*j+3] << 24 )
|
||||||
|
#define STORE32 N->p[4*i+0] = (uint8_t)( cur ); \
|
||||||
|
N->p[4*i+1] = (uint8_t)( cur >> 8 ); \
|
||||||
|
N->p[4*i+2] = (uint8_t)( cur >> 16 ); \
|
||||||
|
N->p[4*i+3] = (uint8_t)( cur >> 24 );
|
||||||
|
|
||||||
|
#elif defined(POLARSSL_HAVE_INT16) /* 16 bit */
|
||||||
|
|
||||||
|
#define MAX32 N->n / 2
|
||||||
|
#define A( j ) (uint32_t)( N->p[2*j] ) | ( N->p[2*j+1] << 16 )
|
||||||
|
#define STORE32 N->p[2*i+0] = (uint16_t)( cur ); \
|
||||||
|
N->p[2*i+1] = (uint16_t)( cur >> 16 );
|
||||||
|
|
||||||
|
#elif defined(POLARSSL_HAVE_INT32) /* 32 bit */
|
||||||
|
|
||||||
|
#define MAX32 N->n
|
||||||
|
#define A( j ) N->p[j]
|
||||||
|
#define STORE32 N->p[i] = cur;
|
||||||
|
|
||||||
|
#else /* 64-bit */
|
||||||
|
|
||||||
|
#define MAX32 N->n * 2
|
||||||
|
#define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
|
||||||
|
#define STORE32 \
|
||||||
|
if( i % 2 ) { \
|
||||||
|
N->p[i/2] &= 0x00000000FFFFFFFF; \
|
||||||
|
N->p[i/2] |= ((uint64_t) cur) << 32; \
|
||||||
|
} else { \
|
||||||
|
N->p[i/2] &= 0xFFFFFFFF00000000; \
|
||||||
|
N->p[i/2] |= (uint64_t) cur; \
|
||||||
|
}
|
||||||
|
|
||||||
|
#endif /* sizeof( t_uint ) */
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Helpers for addition and subtraction of chunks, with signed carry.
|
||||||
|
*/
|
||||||
|
static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
|
||||||
|
{
|
||||||
|
*dst += src;
|
||||||
|
*carry += ( *dst < src );
|
||||||
|
}
|
||||||
|
|
||||||
|
static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
|
||||||
|
{
|
||||||
|
*carry -= ( *dst < src );
|
||||||
|
*dst -= src;
|
||||||
|
}
|
||||||
|
|
||||||
|
#define ADD( j ) add32( &cur, A( j ), &c );
|
||||||
|
#define SUB( j ) sub32( &cur, A( j ), &c );
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Helpers for the main 'loop'
|
||||||
|
* (see fix_negative for the motivation of C)
|
||||||
|
*/
|
||||||
|
#define INIT( b ) \
|
||||||
|
int ret; \
|
||||||
|
signed char c = 0, cc; \
|
||||||
|
uint32_t cur; \
|
||||||
|
size_t i = 0, bits = b; \
|
||||||
|
mpi C; \
|
||||||
|
t_uint Cp[ b / 8 / sizeof( t_uint) + 1 ]; \
|
||||||
|
\
|
||||||
|
C.s = 1; \
|
||||||
|
C.n = b / 8 / sizeof( t_uint) + 1; \
|
||||||
|
C.p = Cp; \
|
||||||
|
memset( Cp, 0, C.n * sizeof( t_uint ) ); \
|
||||||
|
\
|
||||||
|
MPI_CHK( mpi_grow( N, b * 2 / 8 / sizeof( t_uint ) ) ); \
|
||||||
|
LOAD32;
|
||||||
|
|
||||||
|
#define NEXT \
|
||||||
|
STORE32; i++; LOAD32; \
|
||||||
|
cc = c; c = 0; \
|
||||||
|
if( cc < 0 ) \
|
||||||
|
sub32( &cur, -cc, &c ); \
|
||||||
|
else \
|
||||||
|
add32( &cur, cc, &c ); \
|
||||||
|
|
||||||
|
#define LAST \
|
||||||
|
STORE32; i++; \
|
||||||
|
cur = c > 0 ? c : 0; STORE32; \
|
||||||
|
cur = 0; while( ++i < MAX32 ) { STORE32; } \
|
||||||
|
if( c < 0 ) fix_negative( N, c, &C, bits );
|
||||||
|
|
||||||
|
/*
|
||||||
|
* If the result is negative, we get it in the form
|
||||||
|
* c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
|
||||||
|
*/
|
||||||
|
static inline int fix_negative( mpi *N, signed char c, mpi *C, size_t bits )
|
||||||
|
{
|
||||||
|
int ret;
|
||||||
|
|
||||||
|
/* C = - c * 2^(bits + 32) */
|
||||||
|
#if !defined(POLARSSL_HAVE_INT64)
|
||||||
|
((void) bits);
|
||||||
|
#else
|
||||||
|
if( bits == 224 )
|
||||||
|
C->p[ C->n - 1 ] = ((t_uint) -c) << 32;
|
||||||
|
else
|
||||||
|
#endif
|
||||||
|
C->p[ C->n - 1 ] = (t_uint) -c;
|
||||||
|
|
||||||
|
/* N = - ( C - N ) */
|
||||||
|
MPI_CHK( mpi_sub_abs( N, C, N ) );
|
||||||
|
N->s = -1;
|
||||||
|
|
||||||
|
cleanup:
|
||||||
|
|
||||||
|
return( ret );
|
||||||
|
}
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
|
||||||
|
/*
|
||||||
|
* Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
|
||||||
|
*/
|
||||||
|
static int ecp_mod_p224( mpi *N )
|
||||||
|
{
|
||||||
|
INIT( 224 );
|
||||||
|
|
||||||
|
SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
|
||||||
|
SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
|
||||||
|
SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
|
||||||
|
SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
|
||||||
|
SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
|
||||||
|
SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
|
||||||
|
SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
|
||||||
|
|
||||||
|
cleanup:
|
||||||
|
return( ret );
|
||||||
|
}
|
||||||
|
#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
|
||||||
|
/*
|
||||||
|
* Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
|
||||||
|
*/
|
||||||
|
static int ecp_mod_p256( mpi *N )
|
||||||
|
{
|
||||||
|
INIT( 256 );
|
||||||
|
|
||||||
|
ADD( 8 ); ADD( 9 );
|
||||||
|
SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
|
||||||
|
|
||||||
|
ADD( 9 ); ADD( 10 );
|
||||||
|
SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
|
||||||
|
|
||||||
|
ADD( 10 ); ADD( 11 );
|
||||||
|
SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
|
||||||
|
|
||||||
|
ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
|
||||||
|
SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
|
||||||
|
|
||||||
|
ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
|
||||||
|
SUB( 9 ); SUB( 10 ); NEXT; // A4
|
||||||
|
|
||||||
|
ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
|
||||||
|
SUB( 10 ); SUB( 11 ); NEXT; // A5
|
||||||
|
|
||||||
|
ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
|
||||||
|
SUB( 8 ); SUB( 9 ); NEXT; // A6
|
||||||
|
|
||||||
|
ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
|
||||||
|
SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
|
||||||
|
|
||||||
|
cleanup:
|
||||||
|
return( ret );
|
||||||
|
}
|
||||||
|
#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||||
|
/*
|
||||||
|
* Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
|
||||||
|
*/
|
||||||
|
static int ecp_mod_p384( mpi *N )
|
||||||
|
{
|
||||||
|
INIT( 384 );
|
||||||
|
|
||||||
|
ADD( 12 ); ADD( 21 ); ADD( 20 );
|
||||||
|
SUB( 23 ); NEXT; // A0
|
||||||
|
|
||||||
|
ADD( 13 ); ADD( 22 ); ADD( 23 );
|
||||||
|
SUB( 12 ); SUB( 20 ); NEXT; // A2
|
||||||
|
|
||||||
|
ADD( 14 ); ADD( 23 );
|
||||||
|
SUB( 13 ); SUB( 21 ); NEXT; // A2
|
||||||
|
|
||||||
|
ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
|
||||||
|
SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
|
||||||
|
|
||||||
|
ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
|
||||||
|
SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
|
||||||
|
|
||||||
|
ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
|
||||||
|
SUB( 16 ); NEXT; // A5
|
||||||
|
|
||||||
|
ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
|
||||||
|
SUB( 17 ); NEXT; // A6
|
||||||
|
|
||||||
|
ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
|
||||||
|
SUB( 18 ); NEXT; // A7
|
||||||
|
|
||||||
|
ADD( 20 ); ADD( 17 ); ADD( 16 );
|
||||||
|
SUB( 19 ); NEXT; // A8
|
||||||
|
|
||||||
|
ADD( 21 ); ADD( 18 ); ADD( 17 );
|
||||||
|
SUB( 20 ); NEXT; // A9
|
||||||
|
|
||||||
|
ADD( 22 ); ADD( 19 ); ADD( 18 );
|
||||||
|
SUB( 21 ); NEXT; // A10
|
||||||
|
|
||||||
|
ADD( 23 ); ADD( 20 ); ADD( 19 );
|
||||||
|
SUB( 22 ); LAST; // A11
|
||||||
|
|
||||||
|
cleanup:
|
||||||
|
return( ret );
|
||||||
|
}
|
||||||
|
#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
|
||||||
|
|
||||||
|
#undef A
|
||||||
|
#undef LOAD32
|
||||||
|
#undef STORE32
|
||||||
|
#undef MAX32
|
||||||
|
#undef INIT
|
||||||
|
#undef NEXT
|
||||||
|
#undef LAST
|
||||||
|
|
||||||
|
#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED ||
|
||||||
|
POLARSSL_ECP_DP_SECP256R1_ENABLED ||
|
||||||
|
POLARSSL_ECP_DP_SECP384R1_ENABLED */
|
||||||
|
|
||||||
|
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
|
||||||
|
/*
|
||||||
|
* Here we have an actual Mersenne prime, so things are more straightforward.
|
||||||
|
* However, chunks are aligned on a 'weird' boundary (521 bits).
|
||||||
|
*/
|
||||||
|
|
||||||
|
/* Size of p521 in terms of t_uint */
|
||||||
|
#define P521_WIDTH ( 521 / 8 / sizeof( t_uint ) + 1 )
|
||||||
|
|
||||||
|
/* Bits to keep in the most significant t_uint */
|
||||||
|
#if defined(POLARSSL_HAVE_INT8)
|
||||||
|
#define P521_MASK 0x01
|
||||||
|
#else
|
||||||
|
#define P521_MASK 0x01FF
|
||||||
|
#endif
|
||||||
|
|
||||||
|
/*
|
||||||
|
* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
|
||||||
|
* Write N as A1 + 2^521 A0, return A0 + A1
|
||||||
|
*/
|
||||||
|
static int ecp_mod_p521( mpi *N )
|
||||||
|
{
|
||||||
|
int ret;
|
||||||
|
size_t i;
|
||||||
|
mpi M;
|
||||||
|
t_uint Mp[P521_WIDTH + 1];
|
||||||
|
/* Worst case for the size of M is when t_uint is 16 bits:
|
||||||
|
* we need to hold bits 513 to 1056, which is 34 limbs, that is
|
||||||
|
* P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
|
||||||
|
|
||||||
|
if( N->n < P521_WIDTH )
|
||||||
|
return( 0 );
|
||||||
|
|
||||||
|
/* M = A1 */
|
||||||
|
M.s = 1;
|
||||||
|
M.n = N->n - ( P521_WIDTH - 1 );
|
||||||
|
if( M.n > P521_WIDTH + 1 )
|
||||||
|
M.n = P521_WIDTH + 1;
|
||||||
|
M.p = Mp;
|
||||||
|
memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( t_uint ) );
|
||||||
|
MPI_CHK( mpi_shift_r( &M, 521 % ( 8 * sizeof( t_uint ) ) ) );
|
||||||
|
|
||||||
|
/* N = A0 */
|
||||||
|
N->p[P521_WIDTH - 1] &= P521_MASK;
|
||||||
|
for( i = P521_WIDTH; i < N->n; i++ )
|
||||||
|
N->p[i] = 0;
|
||||||
|
|
||||||
|
/* N = A0 + A1 */
|
||||||
|
MPI_CHK( mpi_add_abs( N, N, &M ) );
|
||||||
|
|
||||||
|
cleanup:
|
||||||
|
return( ret );
|
||||||
|
}
|
||||||
|
|
||||||
|
#undef P521_WIDTH
|
||||||
|
#undef P521_MASK
|
||||||
|
#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
|
||||||
|
|
||||||
|
#endif /* POLARSSL_ECP_NIST_OPTIM */
|
||||||
|
|
||||||
#if defined(POLARSSL_SELF_TEST)
|
#if defined(POLARSSL_SELF_TEST)
|
||||||
|
|
||||||
/*
|
/*
|
||||||
|
@ -253,14 +253,58 @@ ECP gen keypair
|
|||||||
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
||||||
ecp_gen_keypair:POLARSSL_ECP_DP_SECP192R1
|
ecp_gen_keypair:POLARSSL_ECP_DP_SECP192R1
|
||||||
|
|
||||||
|
ECP mod p192 small (more than 192 bits, less limbs than 2 * 192 bits)
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP192R1:"0100000000000103010000000000010201000000000001010100000000000100"
|
||||||
|
|
||||||
ECP mod p192 readable
|
ECP mod p192 readable
|
||||||
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
||||||
ecp_fast_mod:POLARSSL_ECP_DP_SECP192R1:"000000000000010500000000000001040000000000000103000000000000010200000000000001010000000000000100"
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP192R1:"010000000000010501000000000001040100000000000103010000000000010201000000000001010100000000000100"
|
||||||
|
|
||||||
|
ECP mod p192 readable with carry
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP192R1:"FF00000000010500FF00000000010400FF00000000010300FF00000000010200FF00000000010100FF00000000010000"
|
||||||
|
|
||||||
ECP mod p192 random
|
ECP mod p192 random
|
||||||
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
||||||
ecp_fast_mod:POLARSSL_ECP_DP_SECP192R1:"36CF96B45D706A0954D89E52CE5F38517A2270E0175849B6F3740151D238CCABEF921437E475881D83BB69E4AA258EBD"
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP192R1:"36CF96B45D706A0954D89E52CE5F38517A2270E0175849B6F3740151D238CCABEF921437E475881D83BB69E4AA258EBD"
|
||||||
|
|
||||||
|
ECP mod p192 (from a past failure case)
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP192R1:"1AC2D6F96A2A425E9DD1776DD8368D4BBC86BF4964E79FEA713583BF948BBEFF0939F96FB19EC48C585BDA6A2D35C750"
|
||||||
|
|
||||||
|
ECP mod p224 readable without carry
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP224R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP224R1:"0000000D0000000C0000000B0000000A0000000900000008000000070000FF060000FF050000FF040000FF03000FF0020000FF010000FF00"
|
||||||
|
|
||||||
|
ECP mod p224 readable with negative carry
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP224R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP224R1:"0000000D0000000C0000000B0000000A00000009000000080000000700000006000000050000000400000003000000020000000100000000"
|
||||||
|
|
||||||
|
ECP mod p224 readable with positive carry
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP224R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP224R1:"0000000D0000000C0000000BFFFFFF0AFFFFFF09FFFFFF08FFFFFF070000FF060000FF050000FF040000FF03000FF0020000FF010000FF00"
|
||||||
|
|
||||||
|
ECP mod p224 readable with final negative carry
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP224R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP224R1:"FF00000D0000000C0000000B0000000A00000009000000080000000700000006000000050000000400000003000000020000000100000000"
|
||||||
|
|
||||||
|
ECP mod p521 very small
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP521R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP521R1:"01"
|
||||||
|
|
||||||
|
ECP mod p521 small (522 bits)
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP521R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP521R1:"030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
|
||||||
|
|
||||||
|
ECP mod p521 readable
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP521R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP521R1:"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
|
||||||
|
|
||||||
|
ECP mod p521 readable with carry
|
||||||
|
depends_on:POLARSSL_ECP_DP_SECP521R1_ENABLED
|
||||||
|
ecp_fast_mod:POLARSSL_ECP_DP_SECP521R1:"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"
|
||||||
|
|
||||||
ECP test vectors secp192r1 rfc 5114
|
ECP test vectors secp192r1 rfc 5114
|
||||||
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
depends_on:POLARSSL_ECP_DP_SECP192R1_ENABLED
|
||||||
ecp_test_vect:POLARSSL_ECP_DP_SECP192R1:"323FA3169D8E9C6593F59476BC142000AB5BE0E249C43426":"CD46489ECFD6C105E7B3D32566E2B122E249ABAADD870612":"68887B4877DF51DD4DC3D6FD11F0A26F8FD3844317916E9A":"631F95BB4A67632C9C476EEE9AB695AB240A0499307FCF62":"519A121680E0045466BA21DF2EEE47F5973B500577EF13D5":"FF613AB4D64CEE3A20875BDB10F953F6B30CA072C60AA57F":"AD420182633F8526BFE954ACDA376F05E5FF4F837F54FEBE":"4371545ED772A59741D0EDA32C671112B7FDDD51461FCF32"
|
ecp_test_vect:POLARSSL_ECP_DP_SECP192R1:"323FA3169D8E9C6593F59476BC142000AB5BE0E249C43426":"CD46489ECFD6C105E7B3D32566E2B122E249ABAADD870612":"68887B4877DF51DD4DC3D6FD11F0A26F8FD3844317916E9A":"631F95BB4A67632C9C476EEE9AB695AB240A0499307FCF62":"519A121680E0045466BA21DF2EEE47F5973B500577EF13D5":"FF613AB4D64CEE3A20875BDB10F953F6B30CA072C60AA57F":"AD420182633F8526BFE954ACDA376F05E5FF4F837F54FEBE":"4371545ED772A59741D0EDA32C671112B7FDDD51461FCF32"
|
||||||
|
@ -229,8 +229,9 @@ void ecp_fast_mod( int id, char *N_str )
|
|||||||
mpi_init( &N ); mpi_init( &R );
|
mpi_init( &N ); mpi_init( &R );
|
||||||
ecp_group_init( &grp );
|
ecp_group_init( &grp );
|
||||||
|
|
||||||
TEST_ASSERT( ecp_use_known_dp( &grp, id ) == 0 );
|
|
||||||
TEST_ASSERT( mpi_read_string( &N, 16, N_str ) == 0 );
|
TEST_ASSERT( mpi_read_string( &N, 16, N_str ) == 0 );
|
||||||
|
TEST_ASSERT( ecp_use_known_dp( &grp, id ) == 0 );
|
||||||
|
TEST_ASSERT( grp.modp != NULL );
|
||||||
|
|
||||||
/*
|
/*
|
||||||
* Store correct result before we touch N
|
* Store correct result before we touch N
|
||||||
|
Loading…
Reference in New Issue
Block a user