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WIP #ifdef's
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@ -80,6 +80,34 @@
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static unsigned long add_count, dbl_count, mul_count;
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#endif
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#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED) || \
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defined(POLARSSL_ECP_DP_SECP224R1_ENABLED) || \
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defined(POLARSSL_ECP_DP_SECP256R1_ENABLED) || \
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defined(POLARSSL_ECP_DP_SECP384R1_ENABLED) || \
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defined(POLARSSL_ECP_DP_SECP521R1_ENABLED) || \
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defined(POLARSSL_ECP_DP_BP256R1_ENABLED) || \
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defined(POLARSSL_ECP_DP_BP384R1_ENABLED) || \
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defined(POLARSSL_ECP_DP_BP512R1_ENABLED)
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#define POLARSSL_ECP_SHORT_WEIERSTRASS
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#endif
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#if defined(POLARSSL_ECP_DP_M221_ENABLED) || \
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defined(POLARSSL_ECP_DP_M255_ENABLED) || \
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defined(POLARSSL_ECP_DP_M383_ENABLED) || \
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defined(POLARSSL_ECP_DP_M511_ENABLED)
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#define POLARSSL_ECP_MONTGOMERY
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#endif
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/*
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* Curve types: internal for now, might be exposed later
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*/
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typedef enum
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{
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POLARSSL_ECP_TYPE_NONE = 0,
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POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS, /* y^2 = x^3 + a x + b */
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POLARSSL_ECP_TYPE_MONTGOMERY, /* y^2 = x^3 + a x^2 + x */
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} ecp_curve_type;
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/*
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* List of supported curves:
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* - internal ID
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@ -179,11 +207,17 @@ const ecp_curve_info *ecp_curve_info_from_name( const char *name )
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}
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/*
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* Tell if a group structure is associated to a Montgomery curve
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* Get the type of a curve
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*/
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static inline int ecp_is_montgomery( const ecp_group *grp )
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static inline ecp_curve_type ecp_get_type( const ecp_group *grp )
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{
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return( grp->G.X.p != NULL && grp->G.Y.p == NULL );
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if( grp->G.X.p == NULL )
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return( POLARSSL_ECP_TYPE_NONE );
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if( grp->G.Y.p == NULL )
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return( POLARSSL_ECP_TYPE_MONTGOMERY );
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else
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return( POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS );
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}
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/*
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@ -642,6 +676,15 @@ cleanup:
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while( mpi_cmp_mpi( &N, &grp->P ) >= 0 ) \
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MPI_CHK( mpi_sub_abs( &N, &N, &grp->P ) )
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#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)
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/*
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* For curves in short Weierstrass form, we do all the internal operations in
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* Jacobian coordinates.
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*
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* For multiplication, we'll use a comb method with coutermeasueres against
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* SPA, hence timing attacks.
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*/
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/*
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* Normalize jacobian coordinates so that Z == 0 || Z == 1 (GECC 3.2.1)
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* Cost: 1N := 1I + 3M + 1S
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@ -693,7 +736,7 @@ cleanup:
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* Cost: 1N(t) := 1I + (6t - 3)M + 1S
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*/
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static int ecp_normalize_jac_many( const ecp_group *grp,
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ecp_point *T[], size_t t_len )
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ecp_point *T[], size_t t_len )
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{
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int ret;
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size_t i;
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@ -946,7 +989,7 @@ int ecp_add( const ecp_group *grp, ecp_point *R,
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{
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int ret;
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if( ecp_is_montgomery( grp ) )
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if( ecp_get_type( grp ) != POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )
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return( POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE );
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MPI_CHK( ecp_add_mixed( grp, R, P, Q ) );
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@ -968,7 +1011,7 @@ int ecp_sub( const ecp_group *grp, ecp_point *R,
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ecp_point_init( &mQ );
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if( ecp_is_montgomery( grp ) )
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if( ecp_get_type( grp ) != POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )
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return( POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE );
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/* mQ = - Q */
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@ -1352,6 +1395,17 @@ cleanup:
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return( ret );
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}
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#endif /* POLARSSL_ECP_SHORT_WEIERSTRASS */
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#if defined(POLARSSL_ECP_MONTGOMERY)
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/*
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* For Montgomery curves, we do all the internal arithmetic in projective
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* coordinates. Import/export of points uses only the x coordinates, which is
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* internaly represented as X / Z.
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*
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* For scalar multiplication, we'll use a Montgomery ladder.
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*/
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/*
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* Normalize Montgomery x/z coordinates: X = X/Z, Z = 1
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* Cost: 1M + 1I
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@ -1519,6 +1573,8 @@ cleanup:
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return( ret );
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}
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#endif /* POLARSSL_ECP_MONTGOMERY */
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/*
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* Multiplication R = m * P
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*/
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@ -1536,16 +1592,21 @@ int ecp_mul( ecp_group *grp, ecp_point *R,
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( ret = ecp_check_pubkey( grp, P ) ) != 0 )
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return( ret );
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/* Actual multiplication aglorithm depending of curve type */
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if( ecp_is_montgomery( grp ) )
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#if defined(POLARSSL_ECP_MONTGOMERY)
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if( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )
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return( ecp_mul_mxz( grp, R, m, P, f_rng, p_rng ) );
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else
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#endif
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#if defined(POLARSSL_ECP_SHORT_WEIERSTRASS)
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if( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_SHORT_WEIERSTRASS )
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return( ecp_mul_comb( grp, R, m, P, f_rng, p_rng ) );
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#endif
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return( POLARSSL_ERR_ECP_BAD_INPUT_DATA );
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}
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/*
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* Check that a point is valid as a public key
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*/
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// TODO
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int ecp_check_pubkey( const ecp_group *grp, const ecp_point *pt )
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{
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int ret;
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@ -1555,7 +1616,7 @@ int ecp_check_pubkey( const ecp_group *grp, const ecp_point *pt )
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if( mpi_cmp_int( &pt->Z, 1 ) != 0 )
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return( POLARSSL_ERR_ECP_INVALID_KEY );
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if( ecp_is_montgomery( grp ) )
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if( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )
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{
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/* [M255 p. 5] Just check X is the correct number of bytes */
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if( mpi_size( &pt->X ) > ( grp->nbits + 7 ) / 8 )
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@ -1608,7 +1669,7 @@ cleanup:
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*/
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int ecp_check_privkey( const ecp_group *grp, const mpi *d )
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{
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if( ecp_is_montgomery( grp ) )
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if( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )
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{
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/* see [M255] page 5 */
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if( mpi_get_bit( d, 0 ) != 0 ||
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@ -1638,7 +1699,7 @@ int ecp_gen_keypair( ecp_group *grp, mpi *d, ecp_point *Q,
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int count = 0;
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size_t n_size = (grp->nbits + 7) / 8;
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if( ecp_is_montgomery( grp ) )
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if( ecp_get_type( grp ) == POLARSSL_ECP_TYPE_MONTGOMERY )
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{
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/* [M225] page 5 */
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size_t b;
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