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Add brainpool support for ecp_mul()

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Manuel Pégourié-Gonnard 2013-10-09 16:09:46 +02:00
parent cd7458aafd
commit 1c4aa24df1
1 changed files with 79 additions and 11 deletions
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90
library/ecp.c
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@ -1054,24 +1054,15 @@ cleanup:
return( ret );
}
/*
* Point doubling R = 2 P, Jacobian coordinates with a == -3 (GECC 3.21)
*/
static int ecp_double_jac( const ecp_group *grp, ecp_point *R,
const ecp_point *P )
static int ecp_double_jac_am3( const ecp_group *grp, ecp_point *R,
const ecp_point *P )
{
int ret;
mpi T1, T2, T3, X, Y, Z;
/* We can't handle A != -3 yet */
if( grp->A.p != NULL )
return( POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE );
#if defined(POLARSSL_SELF_TEST)
dbl_count++;
#endif
if( mpi_cmp_int( &P->Z, 0 ) == 0 )
return( ecp_set_zero( R ) );
@ -1116,6 +1107,83 @@ cleanup:
return( ret );
}
/*
* Point doubling R = 2 P, Jacobian coordinates with general A
* http://www.hyperelliptic.org/EFD/g1p/auto-code/shortw/jacobian/doubling/dbl-2007-bl.op3
*/
static int ecp_double_jac_gen( const ecp_group *grp, ecp_point *R,
const ecp_point *P )
{
int ret;
mpi XX, YY, YYYY, ZZ, t0, t1, t2, t3, S, t4, t5, t6, M, t7, t8, T, X3, t9,
t10, t11, Y3, t12, t13, t14, Z3;
mpi_init( &XX ); mpi_init( &YY ); mpi_init( &YYYY ); mpi_init( &ZZ );
mpi_init( &t0 ); mpi_init( &t1 ); mpi_init( &t2 ); mpi_init( &t3 );
mpi_init( &S ); mpi_init( &t4 ); mpi_init( &t5 ); mpi_init( &t6 );
mpi_init( &M ); mpi_init( &t7 ); mpi_init( &t8 ); mpi_init( &T );
mpi_init( &X3 ); mpi_init( &t9 ); mpi_init( &t10 ); mpi_init( &t11 );
mpi_init( &Y3 ); mpi_init( &t12 ); mpi_init( &t13 ); mpi_init( &t14 );
mpi_init( &Z3 );
MPI_CHK( mpi_mul_mpi( &XX, &P->X, &P->X ) ); MOD_MUL( XX );
MPI_CHK( mpi_mul_mpi( &YY, &P->Y, &P->Y ) ); MOD_MUL( YY );
MPI_CHK( mpi_mul_mpi( &YYYY, &YY, &YY ) ); MOD_MUL( YYYY );
MPI_CHK( mpi_mul_mpi( &ZZ, &P->Z, &P->Z ) ); MOD_MUL( ZZ );
MPI_CHK( mpi_add_mpi( &t0, &P->X, &YY ) ); MOD_ADD( t0 );
MPI_CHK( mpi_mul_mpi( &t1, &t0, &t0 ) ); MOD_MUL( t1 );
MPI_CHK( mpi_sub_mpi( &t2, &t1, &XX ) ); MOD_SUB( t2 );
MPI_CHK( mpi_sub_mpi( &t3, &t2, &YYYY ) ); MOD_SUB( t3 );
MPI_CHK( mpi_mul_int( &S, &t3, 2 ) ); MOD_ADD( S );
MPI_CHK( mpi_mul_mpi( &t4, &ZZ, &ZZ ) ); MOD_MUL( t4 );
MPI_CHK( mpi_mul_mpi( &t5, &t4, &grp->A ) ); MOD_MUL( t5 );
MPI_CHK( mpi_mul_int( &t6, &XX, 3 ) ); MOD_ADD( t6 );
MPI_CHK( mpi_add_mpi( &M, &t6, &t5 ) ); MOD_ADD( M );
MPI_CHK( mpi_mul_mpi( &t7, &M, &M ) ); MOD_MUL( t7 );
MPI_CHK( mpi_mul_int( &t8, &S, 2 ) ); MOD_ADD( t8 );
MPI_CHK( mpi_sub_mpi( &T, &t7, &t8 ) ); MOD_SUB( T );
MPI_CHK( mpi_copy( &X3, &T ) );
MPI_CHK( mpi_sub_mpi( &t9, &S, &T ) ); MOD_SUB( t9 );
MPI_CHK( mpi_mul_int( &t10, &YYYY, 8 ) ); MOD_ADD( t10 );
MPI_CHK( mpi_mul_mpi( &t11, &M, &t9 ) ); MOD_MUL( t11 );
MPI_CHK( mpi_sub_mpi( &Y3, &t11, &t10 ) ); MOD_SUB( Y3 );
MPI_CHK( mpi_add_mpi( &t12, &P->Y, &P->Z ) ); MOD_ADD( t12 );
MPI_CHK( mpi_mul_mpi( &t13, &t12, &t12 ) ); MOD_MUL( t13 );
MPI_CHK( mpi_sub_mpi( &t14, &t13, &YY ) ); MOD_SUB( t14 );
MPI_CHK( mpi_sub_mpi( &Z3, &t14, &ZZ ) ); MOD_SUB( Z3 );
MPI_CHK( mpi_copy( &R->X, &X3 ) );
MPI_CHK( mpi_copy( &R->Y, &Y3 ) );
MPI_CHK( mpi_copy( &R->Z, &Z3 ) );
cleanup:
mpi_free( &XX ); mpi_free( &YY ); mpi_free( &YYYY ); mpi_free( &ZZ );
mpi_free( &t0 ); mpi_free( &t1 ); mpi_free( &t2 ); mpi_free( &t3 );
mpi_free( &S ); mpi_free( &t4 ); mpi_free( &t5 ); mpi_free( &t6 );
mpi_free( &M ); mpi_free( &t7 ); mpi_free( &t8 ); mpi_free( &T );
mpi_free( &X3 ); mpi_free( &t9 ); mpi_free( &t10 ); mpi_free( &t11 );
mpi_free( &Y3 ); mpi_free( &t12 ); mpi_free( &t13 ); mpi_free( &t14 );
mpi_free( &Z3 );
return( ret );
}
/*
* Point doubling R = 2 P, dispatcher function
*/
static int ecp_double_jac( const ecp_group *grp, ecp_point *R,
const ecp_point *P )
{
#if defined(POLARSSL_SELF_TEST)
dbl_count++;
#endif
if( grp->A.p != NULL )
return( ecp_double_jac_gen( grp, R, P ) );
else
return( ecp_double_jac_am3( grp, R, P ) );
}
/*
* Addition or subtraction: R = P + Q or R = P + Q,
* mixed affine-Jacobian coordinates (GECC 3.22)