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synced 2024-11-22 22:15:43 +01:00
Implemented generic doubling
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ab38b70816
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@ -180,7 +180,6 @@ static int ecp_add_generic( const ecp_group *grp, ecp_point *R,
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/*
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* LL = L^2 mod p
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* X = L^2 - P.X - Q.X
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*/
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MPI_CHK( mpi_mul_mpi( &LL, &L, &L ) );
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MPI_CHK( mpi_mod_mpi( &LL, &LL, &grp->P ) );
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@ -215,15 +214,60 @@ cleanup:
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/*
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* Doubling: R = 2 * P, generic case (P != 0, R != 0)
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* Cf SEC1 v2 p. 7, item 5
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*/
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static int ecp_double_generic( const ecp_group *grp, ecp_point *R,
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const ecp_point *P )
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{
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int ret = 0;
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mpi LN, LD, K, L, LL, X, Y;
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(void) grp;
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(void) R;
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(void) P;
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mpi_init( &LN ); mpi_init( &LD ); mpi_init( &K ); mpi_init( &L );
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mpi_init( &LL ); mpi_init( &X ); mpi_init( &Y );
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/*
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* L = 3 (P.X - 1) (P.X + 1) / (2 P.Y) mod p
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*/
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MPI_CHK( mpi_copy( &LD, &P->Y ) );
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MPI_CHK( mpi_shift_l( &LD, 1 ) );
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MPI_CHK( mpi_inv_mod( &K, &LD, &grp->P ) );
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MPI_CHK( mpi_mul_int( &K, &K, 3 ) );
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MPI_CHK( mpi_sub_int( &LN, &P->X, 1 ) );
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MPI_CHK( mpi_mul_mpi( &K, &K, &LN ) );
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MPI_CHK( mpi_add_int( &LN, &P->X, 1 ) );
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MPI_CHK( mpi_mul_mpi( &K, &K, &LN ) );
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MPI_CHK( mpi_mod_mpi( &L, &K, &grp->P ) );
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/*
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* LL = L^2 mod p
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*/
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MPI_CHK( mpi_mul_mpi( &LL, &L, &L ) );
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MPI_CHK( mpi_mod_mpi( &LL, &LL, &grp->P ) );
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/*
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* X = L^2 - 2 * P.X
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*/
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MPI_CHK( mpi_sub_mpi( &X, &LL, &P->X ) );
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MPI_CHK( mpi_sub_mpi( &X, &X, &P->X ) );
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/*
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* Y = L * (P.X - X) - P.Y
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*/
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MPI_CHK( mpi_sub_mpi( &Y, &P->X, &X) );
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MPI_CHK( mpi_mul_mpi( &Y, &Y, &L ) );
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MPI_CHK( mpi_sub_mpi( &Y, &Y, &P->Y ) );
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/*
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* R = (X mod p, Y mod p)
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*/
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R->is_zero = 0;
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MPI_CHK( mpi_mod_mpi( &R->X, &X, &grp->P ) );
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MPI_CHK( mpi_mod_mpi( &R->Y, &Y, &grp->P ) );
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cleanup:
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mpi_free( &LN ); mpi_init( &LD ); mpi_init( &K ); mpi_init( &L );
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mpi_free( &LL ); mpi_init( &X ); mpi_init( &Y );
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return( ret );
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}
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@ -264,7 +308,6 @@ int ecp_add( const ecp_group *grp, ecp_point *R,
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return ret;
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}
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#if defined(POLARSSL_SELF_TEST)
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/*
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@ -290,7 +333,6 @@ static void ecp_point_print( const ecp_point *P )
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printf( "(%lu, %lu)\n", P->X.p[0], P->Y.p[0] );
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}
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/*
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* Checkup routine
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*
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@ -303,20 +345,21 @@ int ecp_self_test( int verbose )
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int ret = 0;
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unsigned i;
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ecp_group grp;
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ecp_point O, A, B, C, D, E, F, G, TMP;
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ecp_point O, A, B, C, D, E, F, G, H, TMP;
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ecp_point *add_tbl[][3] =
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{
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{&O, &O, &O}, {&O, &A, &A}, {&A, &O, &A},
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{&A, &A, &O}, {&B, &C, &O}, {&C, &B, &O},
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{&A, &D, &E}, {&D, &A, &E},
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{&B, &D, &F}, {&D, &B, &F},
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// {&D, &D, &G},
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{&D, &D, &G}, {&B, &B, &H},
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};
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ecp_group_init( &grp );
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ecp_point_init( &O ); ecp_point_init( &A ); ecp_point_init( &B );
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ecp_point_init( &C ); ecp_point_init( &D ); ecp_point_init( &E );
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ecp_point_init( &F ); ecp_point_init( &G ); ecp_point_init( &TMP );
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ecp_point_init( &F ); ecp_point_init( &G ); ecp_point_init( &H );
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ecp_point_init( &TMP );
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ecp_set_zero( &O );
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MPI_CHK( ecp_group_read_string( &grp, 10, "47", "4", "17", "42", "13" ) );
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@ -327,6 +370,7 @@ int ecp_self_test( int verbose )
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MPI_CHK( ecp_point_read_string( &E, 10, "34", "14" ) );
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MPI_CHK( ecp_point_read_string( &F, 10, "45", "7" ) );
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MPI_CHK( ecp_point_read_string( &G, 10, "21", "32" ) );
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MPI_CHK( ecp_point_read_string( &H, 10, "27", "30" ) );
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if( verbose != 0 )
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printf( " ECP test #1 (ecp_add): " );
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@ -350,7 +394,7 @@ int ecp_self_test( int verbose )
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}
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if (verbose != 0 )
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printf( " passed\n" );
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printf( "passed\n" );
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cleanup:
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@ -360,7 +404,8 @@ cleanup:
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ecp_group_free( &grp );
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ecp_point_free( &O ); ecp_point_free( &A ); ecp_point_free( &B );
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ecp_point_free( &C ); ecp_point_free( &D ); ecp_point_free( &E );
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ecp_point_free( &F ); ecp_point_free( &G );
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ecp_point_free( &F ); ecp_point_free( &G ); ecp_point_free( &H );
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ecp_point_free( &TMP );
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if( verbose != 0 )
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printf( "\n" );
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