FLA_Error FLA_Trmm_ruh_unb_var4( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Scal_external( alpha, B );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_BOTTOM );
while ( FLA_Obj_length( BB ) < FLA_Obj_length( B ) ){
FLA_Repart_2x1_to_3x1( BT, &B0,
&b1t,
/* ** */ /* *** */
BB, &B2, 1, FLA_TOP );
/*------------------------------------------------------------*/
/* b1t = b1t * triu( A )'; */
FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, A, b1t );
/*------------------------------------------------------------*/
FLA_Cont_with_3x1_to_2x1( &BT, B0,
/* ** */ /* *** */
b1t,
&BB, B2, FLA_BOTTOM );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_rlh_unb_var3( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Scal_external( alpha, B );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_TOP );
while ( FLA_Obj_length( BT ) < FLA_Obj_length( B ) ){
FLA_Repart_2x1_to_3x1( BT, &B0,
/* ** */ /* *** */
&b1t,
BB, &B2, 1, FLA_BOTTOM );
/*------------------------------------------------------------*/
/* b1t = b1t / tril( A' ); */
FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, A, b1t );
/*------------------------------------------------------------*/
FLA_Cont_with_3x1_to_2x1( &BT, B0,
b1t,
/* ** */ /* *** */
&BB, B2, FLA_TOP );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_luh_unb_var3( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
FLA_Obj BL, BR, B0, b1, B2;
FLA_Scal_external( alpha, B );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2,
1, FLA_RIGHT );
/*------------------------------------------------------------*/
/* b1 = triu( A' ) \ b1 */
FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA, A, b1 );
/*------------------------------------------------------------*/
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2,
FLA_LEFT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trmm_llt_unb_var4( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
FLA_Obj BL, BR, B0, b1, B2;
FLA_Scal_external( alpha, B );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_RIGHT );
while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, &b1, /**/ &B2,
1, FLA_LEFT );
/*------------------------------------------------------------*/
/* b1 = tril( A )' * b1 */
FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA, A, b1 );
/*------------------------------------------------------------*/
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ b1, B2,
FLA_RIGHT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_luc_unb_var1( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Scal_external( alpha, B );
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_BR );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_BOTTOM );
while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &a01, /**/ &A02,
&a10t, &alpha11, /**/ &a12t,
/* ************* */ /* ************************** */
ABL, /**/ ABR, &A20, &a21, /**/ &A22,
1, 1, FLA_TL );
FLA_Repart_2x1_to_3x1( BT, &B0,
&b1t,
/* ** */ /* *** */
BB, &B2, 1, FLA_TOP );
/*------------------------------------------------------------*/
/* b1t = b1t - a12t * B2; */
FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, B2, a12t, FLA_ONE, b1t );
/* b1t = b1t / alpha11; */
if ( diagA != FLA_UNIT_DIAG )
FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ a01, A02,
/* ************** */ /* ************************ */
a10t, /**/ alpha11, a12t,
&ABL, /**/ &ABR, A20, /**/ a21, A22,
FLA_BR );
FLA_Cont_with_3x1_to_2x1( &BT, B0,
/* ** */ /* *** */
b1t,
&BB, B2, FLA_BOTTOM );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_nh_unb_var1( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj AT, A0,
AB, a1t,
A2;
FLA_Obj CT, C0,
CB, c1t,
C2;
FLA_Scal_external( beta, C );
FLA_Part_2x1( A, &AT,
&AB, 0, FLA_TOP );
FLA_Part_2x1( C, &CT,
&CB, 0, FLA_TOP );
while ( FLA_Obj_length( AT ) < FLA_Obj_length( A ) ){
FLA_Repart_2x1_to_3x1( AT, &A0,
/* ** */ /* *** */
&a1t,
AB, &A2, 1, FLA_BOTTOM );
FLA_Repart_2x1_to_3x1( CT, &C0,
/* ** */ /* *** */
&c1t,
CB, &C2, 1, FLA_BOTTOM );
/*------------------------------------------------------------*/
/* c1t = a1t * B' + c1t */
/* c1t' = B * a1t' + c1t' */
FLA_Gemv_external( FLA_CONJ_NO_TRANSPOSE, alpha, B, a1t, FLA_ONE, c1t );
/*------------------------------------------------------------*/
FLA_Cont_with_3x1_to_2x1( &AT, A0,
a1t,
/* ** */ /* *** */
&AB, A2, FLA_TOP );
FLA_Cont_with_3x1_to_2x1( &CT, C0,
c1t,
/* ** */ /* *** */
&CB, C2, FLA_TOP );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_tn_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj AT, A0,
AB, a1t,
A2;
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Scal_external( beta, C );
FLA_Part_2x1( A, &AT,
&AB, 0, FLA_TOP );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_TOP );
while ( FLA_Obj_length( AT ) < FLA_Obj_length( A ) ){
FLA_Repart_2x1_to_3x1( AT, &A0,
/* ** */ /* *** */
&a1t,
AB, &A2, 1, FLA_BOTTOM );
FLA_Repart_2x1_to_3x1( BT, &B0,
/* ** */ /* *** */
&b1t,
BB, &B2, 1, FLA_BOTTOM );
/*------------------------------------------------------------*/
/* C = a1t' * b1t + C */
FLA_Ger_external( alpha, a1t, b1t, C );
/*------------------------------------------------------------*/
FLA_Cont_with_3x1_to_2x1( &AT, A0,
a1t,
/* ** */ /* *** */
&AB, A2, FLA_TOP );
FLA_Cont_with_3x1_to_2x1( &BT, B0,
b1t,
/* ** */ /* *** */
&BB, B2, FLA_TOP );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trmm_ruh_unb_var1( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BL, BR, B0, b1, B2;
FLA_Scal_external( alpha, B );
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2,
1, FLA_RIGHT );
/*------------------------------------------------------------*/
/* b1 = b1 * alpha11; */
if ( diagA != FLA_UNIT_DIAG )
FLA_Scalc_external( FLA_CONJUGATE, alpha11, b1 );
/* b1 = b1 + B2 * a12t'; */
FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_ONE, B2, a12t, FLA_ONE, b1 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2,
FLA_LEFT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_ruh_unb_var2( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BL, BR, B0, b1, B2;
FLA_Scal_external( alpha, B );
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_BR );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_RIGHT );
while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &a01, /**/ &A02,
&a10t, &alpha11, /**/ &a12t,
/* ************* */ /* ************************** */
ABL, /**/ ABR, &A20, &a21, /**/ &A22,
1, 1, FLA_TL );
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, &b1, /**/ &B2,
1, FLA_LEFT );
/*------------------------------------------------------------*/
/* b1 = b1 / alpha11'; */
if ( diagA != FLA_UNIT_DIAG )
FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1 );
/* B0 = B0 - b1 * a01'; */
FLA_Gerc_external( FLA_NO_CONJUGATE, FLA_CONJUGATE, FLA_MINUS_ONE, b1, a01, B0 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ a01, A02,
/* ************** */ /* ************************ */
a10t, /**/ alpha11, a12t,
&ABL, /**/ &ABR, A20, /**/ a21, A22,
FLA_BR );
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ b1, B2,
FLA_RIGHT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_nt_unb_var3( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Obj CL, CR, C0, c1, C2;
FLA_Scal_external( beta, C );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_TOP );
FLA_Part_1x2( C, &CL, &CR, 0, FLA_LEFT );
while ( FLA_Obj_length( BT ) < FLA_Obj_length( B ) ){
FLA_Repart_2x1_to_3x1( BT, &B0,
/* ** */ /* *** */
&b1t,
BB, &B2, 1, FLA_BOTTOM );
FLA_Repart_1x2_to_1x3( CL, /**/ CR, &C0, /**/ &c1, &C2,
1, FLA_RIGHT );
/*------------------------------------------------------------*/
/* c1 = A * b1t + c1 */
FLA_Gemv_external( FLA_NO_TRANSPOSE, alpha, A, b1t, FLA_ONE, c1 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x1_to_2x1( &BT, B0,
b1t,
/* ** */ /* *** */
&BB, B2, FLA_TOP );
FLA_Cont_with_1x3_to_1x2( &CL, /**/ &CR, C0, c1, /**/ C2,
FLA_LEFT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_hh_unb_var1( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj AL, AR, A0, a1, A2;
FLA_Obj CT, C0,
CB, c1t,
C2;
FLA_Scal_external( beta, C );
FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT );
FLA_Part_2x1( C, &CT,
&CB, 0, FLA_TOP );
while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){
FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &a1, &A2,
1, FLA_RIGHT );
FLA_Repart_2x1_to_3x1( CT, &C0,
/* ** */ /* *** */
&c1t,
CB, &C2, 1, FLA_BOTTOM );
/*------------------------------------------------------------*/
/* c1t = a1' * B' + c1t */
/* c1t' = B * a1 + c1t' */
FLA_Gemvc_external( FLA_CONJ_NO_TRANSPOSE, FLA_CONJUGATE, alpha, B, a1, FLA_ONE, c1t );
/*------------------------------------------------------------*/
FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, a1, /**/ A2,
FLA_LEFT );
FLA_Cont_with_3x1_to_2x1( &CT, C0,
c1t,
/* ** */ /* *** */
&CB, C2, FLA_TOP );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_tt_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj AT, A0,
AB, a1t,
A2;
FLA_Obj BL, BR, B0, b1, B2;
FLA_Scal_external( beta, C );
FLA_Part_2x1( A, &AT,
&AB, 0, FLA_TOP );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
while ( FLA_Obj_length( AT ) < FLA_Obj_length( A ) ){
FLA_Repart_2x1_to_3x1( AT, &A0,
/* ** */ /* *** */
&a1t,
AB, &A2, 1, FLA_BOTTOM );
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2,
1, FLA_RIGHT );
/*------------------------------------------------------------*/
/* C = a1t' * b1' + C */
FLA_Ger_external( alpha, a1t, b1, C );
/*------------------------------------------------------------*/
FLA_Cont_with_3x1_to_2x1( &AT, A0,
a1t,
/* ** */ /* *** */
&AB, A2, FLA_TOP );
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2,
FLA_LEFT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_nc_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj AL, AR, A0, a1, A2;
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Scal_external( beta, C );
FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_TOP );
while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){
FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &a1, &A2,
1, FLA_RIGHT );
FLA_Repart_2x1_to_3x1( BT, &B0,
/* ** */ /* *** */
&b1t,
BB, &B2, 1, FLA_BOTTOM );
/*------------------------------------------------------------*/
/* C = a1 * b1t + C */
FLA_Gerc_external( FLA_NO_CONJUGATE, FLA_CONJUGATE, alpha, a1, b1t, C );
/*------------------------------------------------------------*/
FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, a1, /**/ A2,
FLA_LEFT );
FLA_Cont_with_3x1_to_2x1( &BT, B0,
b1t,
/* ** */ /* *** */
&BB, B2, FLA_TOP );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trinv_ln_unb_var3( FLA_Obj A )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
/*------------------------------------------------------------*/
// a21 = -a21 / alpha11;
FLA_Scal_external( FLA_MINUS_ONE, a21 );
FLA_Inv_scal_external( alpha11, a21 );
// A20 = a21 * a10t + A20;
FLA_Ger_external( FLA_ONE, a21, a10t, A20 );
// a10t = a10t / alpha11;
FLA_Inv_scal_external( alpha11, a10t );
// alpha11 = 1.0 / alpha11;
FLA_Invert( FLA_NO_CONJUGATE, alpha11 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trinv_lu_unb_var4( FLA_Obj A )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
/*------------------------------------------------------------*/
// a21 = -trilu( A22 ) \ a21;
FLA_Scal_external( FLA_MINUS_ONE, a21 );
FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A22, a21 );
// A20 = -a21 * a10t + A20;
FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 );
// a10t' = trilu( A00' ) * a10t';
FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_UNIT_DIAG, A00, a10t );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trinv_ln_unb_var2( FLA_Obj A )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
/*------------------------------------------------------------*/
// a21 = tril( A22 ) \ a21;
FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A22, a21 );
// a21 = -a21 / alpha11;
FLA_Scal_external( FLA_MINUS_ONE, a21 );
FLA_Inv_scal_external( alpha11, a21 );
// alpha11 = 1.0 / alpha11;
FLA_Invert( FLA_NO_CONJUGATE, alpha11 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Trmvsx_external( FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj alpha, FLA_Obj A, FLA_Obj x, FLA_Obj beta, FLA_Obj y )
{
FLA_Obj x_copy;
if ( FLA_Check_error_level() == FLA_FULL_ERROR_CHECKING )
FLA_Trmvsx_check( uplo, transa, diag, alpha, A, x, beta, y );
if ( FLA_Obj_has_zero_dim( A ) ) return FLA_SUCCESS;
FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, x, &x_copy );
FLA_Copy_external( x, x_copy );
FLA_Trmv_external( uplo, transa, diag, A, x_copy );
FLA_Scal_external( beta, y );
FLA_Axpy_external( alpha, x_copy, y );
FLA_Obj_free( &x_copy );
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_nn_unb_var3( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj BL, BR, B0, b1, B2;
FLA_Obj CL, CR, C0, c1, C2;
FLA_Scal_external( beta, C );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
FLA_Part_1x2( C, &CL, &CR, 0, FLA_LEFT );
while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2,
1, FLA_RIGHT );
FLA_Repart_1x2_to_1x3( CL, /**/ CR, &C0, /**/ &c1, &C2,
1, FLA_RIGHT );
/*------------------------------------------------------------*/
/* c1 = A * b1 + c1 */
FLA_Gemv_external( FLA_NO_TRANSPOSE, alpha, A, b1, FLA_ONE, c1 );
/*------------------------------------------------------------*/
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2,
FLA_LEFT );
FLA_Cont_with_1x3_to_1x2( &CL, /**/ &CR, C0, c1, /**/ C2,
FLA_LEFT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemm_ct_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj AL, AR, A0, a1, A2;
FLA_Obj BL, BR, B0, b1, B2;
FLA_Scal_external( beta, C );
FLA_Part_1x2( A, &AL, &AR, 0, FLA_LEFT );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ) {
FLA_Repart_1x2_to_1x3( AL, /**/ AR, &A0, /**/ &a1, &A2,
1, FLA_RIGHT );
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2,
1, FLA_RIGHT );
/*------------------------------------------------------------*/
/* C = a1 * b1' + C */
FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, alpha, a1, b1, C );
/*------------------------------------------------------------*/
FLA_Cont_with_1x3_to_1x2( &AL, /**/ &AR, A0, a1, /**/ A2,
FLA_LEFT );
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2,
FLA_LEFT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Hemm_ll_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Obj CT, C0,
CB, c1t,
C2;
FLA_Scal_external( beta, C );
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_BR );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_BOTTOM );
FLA_Part_2x1( C, &CT,
&CB, 0, FLA_BOTTOM );
while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &a01, /**/ &A02,
&a10t, &alpha11, /**/ &a12t,
/* ************* */ /* ************************** */
ABL, /**/ ABR, &A20, &a21, /**/ &A22,
1, 1, FLA_TL );
FLA_Repart_2x1_to_3x1( BT, &B0,
&b1t,
/* ** */ /* ** */
BB, &B2, 1, FLA_TOP );
FLA_Repart_2x1_to_3x1( CT, &C0,
&c1t,
/* ** */ /* ** */
CB, &C2, 1, FLA_TOP );
/*------------------------------------------------------------*/
/* c1t = c1t + alpha11 * b1t */
FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );
/* c1t = c1t + a21' * B2 */
/* c1t' = c1t' + B2' * a21 */
FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, alpha, B2, a21, FLA_ONE, c1t );
/* C2 = C2 + a21 * b1t */
FLA_Ger_external( alpha, a21, b1t, C2 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ a01, A02,
/* ************** */ /* ************************ */
a10t, /**/ alpha11, a12t,
&ABL, /**/ &ABR, A20, /**/ a21, A22,
FLA_BR );
FLA_Cont_with_3x1_to_2x1( &BT, B0,
/* ** */ /* ** */
b1t,
&BB, B2, FLA_BOTTOM );
FLA_Cont_with_3x1_to_2x1( &CT, C0,
/* ** */ /* ** */
c1t,
&CB, C2, FLA_BOTTOM );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Symm_rl_unb_var1( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BL, BR, B0, b1t, B2;
FLA_Obj CL, CR, C0, c1t, C2;
FLA_Scal_external( beta, C );
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
FLA_Part_1x2( C, &CL, &CR, 0, FLA_LEFT );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1t, &B2,
1, FLA_RIGHT );
FLA_Repart_1x2_to_1x3( CL, /**/ CR, &C0, /**/ &c1t, &C2,
1, FLA_RIGHT );
/*------------------------------------------------------------*/
/* C0 = C0 + b1t * a10t */
FLA_Ger_external( alpha, b1t, a10t, C0 );
/* c1t = c1t + B0 * a10t' */
FLA_Gemv_external( FLA_NO_TRANSPOSE, alpha, B0, a10t, FLA_ONE, c1t );
/* c1t = c1t + b1t * alpha11 */
FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1t, /**/ B2,
FLA_LEFT );
FLA_Cont_with_1x3_to_1x2( &CL, /**/ &CR, C0, c1t, /**/ C2,
FLA_LEFT );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Her2k_external( FLA_Uplo uplo, FLA_Trans trans, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Datatype datatype;
int k_AB;
int m_A, n_A;
int m_C;
int rs_A, cs_A;
int rs_B, cs_B;
int rs_C, cs_C;
uplo_t blis_uplo;
trans_t blis_trans;
if ( FLA_Check_error_level() == FLA_FULL_ERROR_CHECKING )
FLA_Her2k_check( uplo, trans, alpha, A, B, beta, C );
if ( FLA_Obj_has_zero_dim( C ) ) return FLA_SUCCESS;
if ( FLA_Obj_has_zero_dim( A ) || FLA_Obj_has_zero_dim( B ) )
{
FLA_Scal_external( beta, C );
return FLA_SUCCESS;
}
datatype = FLA_Obj_datatype( A );
m_A = FLA_Obj_length( A );
n_A = FLA_Obj_width( A );
rs_A = FLA_Obj_row_stride( A );
cs_A = FLA_Obj_col_stride( A );
rs_B = FLA_Obj_row_stride( B );
cs_B = FLA_Obj_col_stride( B );
m_C = FLA_Obj_length( C );
rs_C = FLA_Obj_row_stride( C );
cs_C = FLA_Obj_col_stride( C );
if ( trans == FLA_NO_TRANSPOSE )
k_AB = n_A;
else
k_AB = m_A;
FLA_Param_map_flame_to_blis_uplo( uplo, &blis_uplo );
FLA_Param_map_flame_to_blis_trans( trans, &blis_trans );
switch( datatype ){
case FLA_FLOAT:
{
float *buff_A = ( float * ) FLA_FLOAT_PTR( A );
float *buff_B = ( float * ) FLA_FLOAT_PTR( B );
float *buff_C = ( float * ) FLA_FLOAT_PTR( C );
float *buff_alpha = ( float * ) FLA_FLOAT_PTR( alpha );
float *buff_beta = ( float * ) FLA_FLOAT_PTR( beta );
bli_ssyr2k( blis_uplo,
blis_trans,
m_C,
k_AB,
buff_alpha,
buff_A, rs_A, cs_A,
buff_B, rs_B, cs_B,
buff_beta,
buff_C, rs_C, cs_C );
break;
}
case FLA_DOUBLE:
{
double *buff_A = ( double * ) FLA_DOUBLE_PTR( A );
double *buff_B = ( double * ) FLA_DOUBLE_PTR( B );
double *buff_C = ( double * ) FLA_DOUBLE_PTR( C );
double *buff_alpha = ( double * ) FLA_DOUBLE_PTR( alpha );
double *buff_beta = ( double * ) FLA_DOUBLE_PTR( beta );
bli_dsyr2k( blis_uplo,
blis_trans,
m_C,
k_AB,
buff_alpha,
buff_A, rs_A, cs_A,
buff_B, rs_B, cs_B,
buff_beta,
buff_C, rs_C, cs_C );
break;
}
case FLA_COMPLEX:
{
scomplex *buff_A = ( scomplex * ) FLA_COMPLEX_PTR( A );
scomplex *buff_B = ( scomplex * ) FLA_COMPLEX_PTR( B );
scomplex *buff_C = ( scomplex * ) FLA_COMPLEX_PTR( C );
scomplex *buff_alpha = ( scomplex * ) FLA_COMPLEX_PTR( alpha );
float *buff_beta = ( float * ) FLA_FLOAT_PTR( beta );
bli_cher2k( blis_uplo,
blis_trans,
m_C,
k_AB,
buff_alpha,
buff_A, rs_A, cs_A,
buff_B, rs_B, cs_B,
buff_beta,
buff_C, rs_C, cs_C );
break;
}
case FLA_DOUBLE_COMPLEX:
{
dcomplex *buff_A = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( A );
dcomplex *buff_B = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( B );
dcomplex *buff_C = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( C );
dcomplex *buff_alpha = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( alpha );
double *buff_beta = ( double * ) FLA_DOUBLE_PTR( beta );
bli_zher2k( blis_uplo,
blis_trans,
m_C,
k_AB,
buff_alpha,
buff_A, rs_A, cs_A,
buff_B, rs_B, cs_B,
buff_beta,
buff_C, rs_C, cs_C );
break;
}
}
return FLA_SUCCESS;
}
FLA_Error FLA_Gemv_external( FLA_Trans transa, FLA_Obj alpha, FLA_Obj A, FLA_Obj x, FLA_Obj beta, FLA_Obj y )
{
FLA_Datatype datatype;
int m_A, n_A;
int rs_A, cs_A;
int inc_x;
int inc_y;
trans_t blis_transa;
conj_t blis_conjx;
if ( FLA_Check_error_level() == FLA_FULL_ERROR_CHECKING )
FLA_Gemv_check( transa, alpha, A, x, beta, y );
if ( FLA_Obj_has_zero_dim( A ) )
{
FLA_Scal_external( beta, y );
return FLA_SUCCESS;
}
datatype = FLA_Obj_datatype( A );
m_A = FLA_Obj_length( A );
n_A = FLA_Obj_width( A );
rs_A = FLA_Obj_row_stride( A );
cs_A = FLA_Obj_col_stride( A );
inc_x = FLA_Obj_vector_inc( x );
inc_y = FLA_Obj_vector_inc( y );
FLA_Param_map_flame_to_blis_trans( transa, &blis_transa );
FLA_Param_map_flame_to_blis_conj( FLA_NO_CONJUGATE, &blis_conjx );
switch( datatype ){
case FLA_FLOAT:
{
float *buff_A = ( float * ) FLA_FLOAT_PTR( A );
float *buff_x = ( float * ) FLA_FLOAT_PTR( x );
float *buff_y = ( float * ) FLA_FLOAT_PTR( y );
float *buff_alpha = ( float * ) FLA_FLOAT_PTR( alpha );
float *buff_beta = ( float * ) FLA_FLOAT_PTR( beta );
bli_sgemv( blis_transa,
blis_conjx,
m_A,
n_A,
buff_alpha,
buff_A, rs_A, cs_A,
buff_x, inc_x,
buff_beta,
buff_y, inc_y );
break;
}
case FLA_DOUBLE:
{
double *buff_A = ( double * ) FLA_DOUBLE_PTR( A );
double *buff_x = ( double * ) FLA_DOUBLE_PTR( x );
double *buff_y = ( double * ) FLA_DOUBLE_PTR( y );
double *buff_alpha = ( double * ) FLA_DOUBLE_PTR( alpha );
double *buff_beta = ( double * ) FLA_DOUBLE_PTR( beta );
bli_dgemv( blis_transa,
blis_conjx,
m_A,
n_A,
buff_alpha,
buff_A, rs_A, cs_A,
buff_x, inc_x,
buff_beta,
buff_y, inc_y );
break;
}
case FLA_COMPLEX:
{
scomplex *buff_A = ( scomplex * ) FLA_COMPLEX_PTR( A );
scomplex *buff_x = ( scomplex * ) FLA_COMPLEX_PTR( x );
scomplex *buff_y = ( scomplex * ) FLA_COMPLEX_PTR( y );
scomplex *buff_alpha = ( scomplex * ) FLA_COMPLEX_PTR( alpha );
scomplex *buff_beta = ( scomplex * ) FLA_COMPLEX_PTR( beta );
bli_cgemv( blis_transa,
blis_conjx,
m_A,
n_A,
buff_alpha,
buff_A, rs_A, cs_A,
buff_x, inc_x,
buff_beta,
buff_y, inc_y );
break;
}
case FLA_DOUBLE_COMPLEX:
{
dcomplex *buff_A = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( A );
dcomplex *buff_x = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( x );
dcomplex *buff_y = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( y );
dcomplex *buff_alpha = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( alpha );
dcomplex *buff_beta = ( dcomplex * ) FLA_DOUBLE_COMPLEX_PTR( beta );
bli_zgemv( blis_transa,
blis_conjx,
m_A,
n_A,
buff_alpha,
buff_A, rs_A, cs_A,
buff_x, inc_x,
buff_beta,
buff_y, inc_y );
break;
}
}
return FLA_SUCCESS;
}
FLA_Error FLA_Symm_lu_unb_var1( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BT, B0,
BB, b1t,
B2;
FLA_Obj CT, C0,
CB, c1t,
C2;
FLA_Scal_external( beta, C );
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
FLA_Part_2x1( B, &BT,
&BB, 0, FLA_TOP );
FLA_Part_2x1( C, &CT,
&CB, 0, FLA_TOP );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
FLA_Repart_2x1_to_3x1( BT, &B0,
/* ** */ /* ** */
&b1t,
BB, &B2, 1, FLA_BOTTOM );
FLA_Repart_2x1_to_3x1( CT, &C0,
/* ** */ /* ** */
&c1t,
CB, &C2, 1, FLA_BOTTOM );
/*------------------------------------------------------------*/
/* C0 = C0 + a01 * b1t */
FLA_Ger_external( alpha, a01, b1t, C0 );
/* c1t = c1t + a01' * B0 */
/* c1t' = c1t' + B0' * a01 */
FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a01, FLA_ONE, c1t );
/* c1t = c1t + alpha11 * b1t */
FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
FLA_Cont_with_3x1_to_2x1( &BT, B0,
b1t,
/* ** */ /* ** */
&BB, B2, FLA_TOP );
FLA_Cont_with_3x1_to_2x1( &CT, C0,
c1t,
/* ** */ /* ** */
&CB, C2, FLA_TOP );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_il_unb_var5( FLA_Obj A, FLA_Obj Y, FLA_Obj B )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BTL, BTR, B00, b01, B02,
BBL, BBR, b10t, beta11, b12t,
B20, b21, B22;
//FLA_Obj yT, y01,
// yB, psi11,
// y21;
//FLA_Obj y21_l, y21_r;
FLA_Obj psi11, y12t,
y21, Y22;
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
FLA_Part_2x2( B, &BTL, &BTR,
&BBL, &BBR, 0, 0, FLA_TL );
//FLA_Part_2x1( Y, &yT,
// &yB, 0, FLA_TOP );
FLA_Part_2x2( Y, &psi11, &y12t,
&y21, &Y22, 1, 1, FLA_TL );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02,
/* ************* */ /* ************************* */
&b10t, /**/ &beta11, &b12t,
BBL, /**/ BBR, &B20, /**/ &b21, &B22,
1, 1, FLA_BR );
//FLA_Repart_2x1_to_3x1( yT, &y01,
// /* ** */ /* ***** */
// &psi11,
// yB, &y21, 1, FLA_BOTTOM );
/*------------------------------------------------------------*/
//FLA_Part_1x2( y21, &y21_l, &y21_r, 1, FLA_LEFT );
// alpha11 = inv(beta11) * alpha11 * inv(conj(beta11));
// = inv(beta11) * alpha11 * inv(beta11);
FLA_Inv_scal_external( beta11, alpha11 );
FLA_Inv_scal_external( beta11, alpha11 );
//// y21 = b21 * alpha11;
//FLA_Copy_external( b21, y21_l );
//FLA_Scal_external( alpha11, y21_l );
// psi11 = - 1/2 * alpha11;
FLA_Copy_external( alpha11, psi11 );
FLA_Scal_external( FLA_MINUS_ONE_HALF, psi11 );
// a21 = a21 * inv(conj(beta11));
// = a21 * inv(beta11);
FLA_Inv_scal_external( beta11, a21 );
//// a21 = a21 - 1/2 * y21;
//FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
// a21 = a21 - 1/2 * alpha11 * b21;
FLA_Axpy_external( psi11, b21, a21 );
// A22 = A22 - a21 * b21' - b21 * a21';
FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_NO_CONJUGATE,
FLA_MINUS_ONE, a21, b21, A22 );
//// a21 = a21 - 1/2 * y21;
//FLA_Axpy_external( FLA_MINUS_ONE_HALF, y21_l, a21 );
// a21 = a21 - 1/2 * alpha11 * b21;
FLA_Axpy_external( psi11, b21, a21 );
// a21 = inv( tril( B22 ) ) * a21;
FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
B22, a21 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
b10t, beta11, /**/ b12t,
/* ************** */ /* *********************** */
&BBL, /**/ &BBR, B20, b21, /**/ B22,
FLA_TL );
//FLA_Cont_with_3x1_to_2x1( &yT, y01,
// psi11,
// /* ** */ /* ***** */
// &yB, y21, FLA_TOP );
}
return FLA_SUCCESS;
}
FLA_Error FLA_Eig_gest_nl_unb_var4( FLA_Obj A, FLA_Obj Y, FLA_Obj B )
{
FLA_Obj ATL, ATR, A00, a01, A02,
ABL, ABR, a10t, alpha11, a12t,
A20, a21, A22;
FLA_Obj BTL, BTR, B00, b01, B02,
BBL, BBR, b10t, beta11, b12t,
B20, b21, B22;
//FLA_Obj yL, yR, y10t, psi11, y12t;
//FLA_Obj y10t_t,
// y10t_b;
FLA_Obj psi11, y12t,
y21, Y22;
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
FLA_Part_2x2( B, &BTL, &BTR,
&BBL, &BBR, 0, 0, FLA_TL );
//FLA_Part_1x2( Y, &yL, &yR, 0, FLA_LEFT );
FLA_Part_2x2( Y, &psi11, &y12t,
&y21, &Y22, 1, 1, FLA_TL );
while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02,
/* ************* */ /* ************************** */
&a10t, /**/ &alpha11, &a12t,
ABL, /**/ ABR, &A20, /**/ &a21, &A22,
1, 1, FLA_BR );
FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, /**/ &b01, &B02,
/* ************* */ /* ************************* */
&b10t, /**/ &beta11, &b12t,
BBL, /**/ BBR, &B20, /**/ &b21, &B22,
1, 1, FLA_BR );
//FLA_Repart_1x2_to_1x3( yL, /**/ yR, &y10t, /**/ &psi11, &y12t,
// 1, FLA_RIGHT );
/*------------------------------------------------------------*/
//FLA_Part_2x1( y10t, &y10t_t,
// &y10t_b, 1, FLA_TOP );
//// y10t = alpha11 * b10t;
//FLA_Copy_external( b10t, y10t_t );
//FLA_Scal_external( alpha11, y10t_t );
// psi11 = 1/2 * alpha11;
FLA_Copy_external( alpha11, psi11 );
FLA_Scal_external( FLA_ONE_HALF, psi11 );
//// a10t = a10t + 1/2 * y10t;
//FLA_Axpy_external( FLA_ONE_HALF, y10t_t, a10t );
// a10t = a10t + 1/2 * alpha11 * b10t;
FLA_Axpy_external( psi11, b10t, a10t );
// A00 = A00 + a10t' * b10t + b10t' * a10t;
FLA_Her2c_external( FLA_LOWER_TRIANGULAR, FLA_CONJUGATE,
FLA_ONE, a10t, b10t, A00 );
//// a10t = a10t + 1/2 * y10t;
//FLA_Axpy_external( FLA_ONE_HALF, y10t_t, a10t );
// a10t = a10t + 1/2 * alpha11 * b10t;
FLA_Axpy_external( psi11, b10t, a10t );
// a10t = conj(beta11) * a10t;
// = beta11 * a10t;
FLA_Scal_external( beta11, a10t );
// alpha11 = conj(beta11) * alpha11 * beta11;
// = beta11 * alpha11 * beta11;
FLA_Scal_external( beta11, alpha11 );
FLA_Scal_external( beta11, alpha11 );
// A20 = A20 + a21 * b10t;
FLA_Ger_external( FLA_ONE, a21, b10t, A20 );
// a21 = a21 * beta11;
FLA_Scal_external( beta11, a21 );
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02,
a10t, alpha11, /**/ a12t,
/* ************** */ /* ************************ */
&ABL, /**/ &ABR, A20, a21, /**/ A22,
FLA_TL );
FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, b01, /**/ B02,
b10t, beta11, /**/ b12t,
/* ************** */ /* *********************** */
&BBL, /**/ &BBR, B20, b21, /**/ B22,
FLA_TL );
//FLA_Cont_with_1x3_to_1x2( &yL, /**/ &yR, y10t, psi11, /**/ y12t,
// FLA_LEFT );
}
return FLA_SUCCESS;
}
