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Point multiplication using Jacobian coordinates
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@ -245,9 +245,6 @@ int ecp_use_known_dp( ecp_group *grp, size_t index );
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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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* POLARSSL_ERR_MPI_DIVISION_BY_ZERO (shouldn't happen)
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* (temporary, a faster version not using division will be
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* used in the future)
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*/
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int ecp_add( const ecp_group *grp, ecp_point *R,
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const ecp_point *P, const ecp_point *Q );
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@ -262,9 +259,6 @@ int ecp_add( const ecp_group *grp, ecp_point *R,
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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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* POLARSSL_ERR_MPI_DIVISION_BY_ZERO (shouldn't happen)
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* (temporary, a faster version not using division will be
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* used in the future)
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*/
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int ecp_mul( const ecp_group *grp, ecp_point *R,
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const mpi *m, const ecp_point *P );
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@ -464,9 +464,9 @@ int ecp_mul( const ecp_group *grp, ecp_point *R,
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{
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int ret = 0;
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size_t pos;
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ecp_point Q[2];
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ecp_ptjac Q[2];
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ecp_point_init( &Q[0] ); ecp_point_init( &Q[1] );
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ecp_ptjac_init( &Q[0] ); ecp_ptjac_init( &Q[1] );
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/*
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* The general method works only for m >= 1
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@ -476,23 +476,23 @@ int ecp_mul( const ecp_group *grp, ecp_point *R,
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goto cleanup;
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}
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ecp_set_zero( &Q[0] );
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ecp_ptjac_set_zero( &Q[0] );
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for( pos = mpi_msb( m ) - 1 ; ; pos-- )
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{
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MPI_CHK( ecp_add( grp, &Q[0], &Q[0], &Q[0] ) );
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MPI_CHK( ecp_add( grp, &Q[1], &Q[0], P ) );
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MPI_CHK( ecp_copy( &Q[0], &Q[ mpi_get_bit( m, pos ) ] ) );
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MPI_CHK( ecp_double_jac( grp, &Q[0], &Q[0] ) );
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MPI_CHK( ecp_add_mixed( grp, &Q[1], &Q[0], P ) );
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MPI_CHK( ecp_ptjac_copy( &Q[0], &Q[ mpi_get_bit( m, pos ) ] ) );
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if( pos == 0 )
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break;
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}
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MPI_CHK( ecp_copy( R, &Q[0] ) );
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MPI_CHK( ecp_jac_to_aff( grp, R, &Q[0] ) );
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cleanup:
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ecp_point_free( &Q[0] ); ecp_point_free( &Q[1] );
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ecp_ptjac_free( &Q[0] ); ecp_ptjac_free( &Q[1] );
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return( ret );
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}
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