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libflame
revision_anchor
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Functions | |
| FLA_Error | FLA_Bidiag_UT_u_blk_var5 (FLA_Obj A, FLA_Obj TU, FLA_Obj TV) |
| FLA_Error FLA_Bidiag_UT_u_blk_var5 | ( | FLA_Obj | A, |
| FLA_Obj | TU, | ||
| FLA_Obj | TV | ||
| ) |
References FLA_Bidiag_UT_u_step_opt_var5(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy(), FLA_Copyt(), FLA_Gemm_external(), FLA_MINUS_ONE, FLA_Obj_create(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_Obj_min_dim(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Set(), FLA_Triangularize(), and FLA_ZERO.
Referenced by FLA_Bidiag_UT_u().
{
FLA_Obj ATL, ATR, A00, A01, A02,
ABL, ABR, A10, A11, A12,
A20, A21, A22;
FLA_Obj UT, U0,
UB, U1,
U2;
FLA_Obj VT, V0,
VB, V1,
V2;
FLA_Obj YT, Y0,
YB, Y1,
Y2;
FLA_Obj ZT, Z0,
ZB, Z1,
Z2;
FLA_Obj TUL, TUR, TU0, TU1, TU2;
FLA_Obj TVL, TVR, TV0, TV1, TV2;
FLA_Obj U, V, Y, Z;
FLA_Obj ABR_l, ABR_t;
FLA_Obj UB_l, U2_l;
FLA_Obj VB_l, V2_l;
FLA_Obj YB_l, Y2_l;
FLA_Obj ZB_l, Z2_l;
FLA_Obj TU1_tl;
FLA_Obj TV1_tl;
FLA_Obj none, none2, none3;
FLA_Obj VB_tl,
VB_bl;
FLA_Datatype datatype_A;
dim_t m_A, n_A;
dim_t b_alg, b;
b_alg = FLA_Obj_length( TU );
datatype_A = FLA_Obj_datatype( A );
m_A = FLA_Obj_length( A );
n_A = FLA_Obj_width( A );
FLA_Obj_create( datatype_A, m_A, b_alg, 0, 0, &U );
FLA_Obj_create( datatype_A, n_A, b_alg, 0, 0, &V );
FLA_Obj_create( datatype_A, n_A, b_alg, 0, 0, &Y );
FLA_Obj_create( datatype_A, m_A, b_alg, 0, 0, &Z );
FLA_Part_2x2( A, &ATL, &ATR,
&ABL, &ABR, 0, 0, FLA_TL );
FLA_Part_2x1( U, &UT,
&UB, 0, FLA_TOP );
FLA_Part_2x1( V, &VT,
&VB, 0, FLA_TOP );
FLA_Part_2x1( Y, &YT,
&YB, 0, FLA_TOP );
FLA_Part_2x1( Z, &ZT,
&ZB, 0, FLA_TOP );
FLA_Part_1x2( TU, &TUL, &TUR, 0, FLA_LEFT );
FLA_Part_1x2( TV, &TVL, &TVR, 0, FLA_LEFT );
while ( FLA_Obj_min_dim( ABR ) > 0 )
{
b = min( FLA_Obj_min_dim( ABR ), b_alg );
FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
/* ************* */ /* ******************** */
&A10, /**/ &A11, &A12,
ABL, /**/ ABR, &A20, /**/ &A21, &A22,
b, b, FLA_BR );
FLA_Repart_2x1_to_3x1( UT, &U0,
/* ** */ /* ** */
&U1,
UB, &U2, b, FLA_BOTTOM );
FLA_Repart_2x1_to_3x1( VT, &V0,
/* ** */ /* ** */
&V1,
VB, &V2, b, FLA_BOTTOM );
FLA_Repart_2x1_to_3x1( YT, &Y0,
/* ** */ /* ** */
&Y1,
YB, &Y2, b, FLA_BOTTOM );
FLA_Repart_2x1_to_3x1( ZT, &Z0,
/* ** */ /* ** */
&Z1,
ZB, &Z2, b, FLA_BOTTOM );
FLA_Repart_1x2_to_1x3( TUL, /**/ TUR, &TU0, /**/ &TU1, &TU2,
b, FLA_RIGHT );
FLA_Repart_1x2_to_1x3( TVL, /**/ TVR, &TV0, /**/ &TV1, &TV2,
b, FLA_RIGHT );
/*------------------------------------------------------------*/
FLA_Part_2x2( TU1, &TU1_tl, &none,
&none2, &none3, b, b, FLA_TL );
FLA_Part_2x2( TV1, &TV1_tl, &none,
&none2, &none3, b, b, FLA_TL );
FLA_Part_1x2( ABR, &ABR_l, &none, b, FLA_LEFT );
FLA_Part_2x1( ABR, &ABR_t,
&none, b, FLA_TOP );
FLA_Part_1x2( UB, &UB_l, &none, b, FLA_LEFT );
FLA_Part_1x2( VB, &VB_l, &none, b, FLA_LEFT );
FLA_Part_1x2( YB, &YB_l, &none, b, FLA_LEFT );
FLA_Part_1x2( ZB, &ZB_l, &none, b, FLA_LEFT );
FLA_Part_2x1( UB_l, &none,
&U2_l, b, FLA_TOP );
FLA_Part_2x1( VB_l, &none,
&V2_l, b, FLA_TOP );
FLA_Part_2x1( YB_l, &none,
&Y2_l, b, FLA_TOP );
FLA_Part_2x1( ZB_l, &none,
&Z2_l, b, FLA_TOP );
// [ ABR, YB, ZB, TU1, TV1 ] = FLA_Bidiag_UT_u_step_unb_var5( ABR, TU1, TV1, b );
//FLA_Bidiag_UT_u_step_unb_var5( ABR, YB, ZB, TU1_tl, TV1_tl );
FLA_Bidiag_UT_u_step_opt_var5( ABR, YB, ZB, TU1_tl, TV1_tl );
if ( FLA_Obj_length( A22 ) > 0 )
{
// Build UB from ABR, with explicit unit subdiagonal and zeros.
FLA_Copy( ABR_l, UB_l );
FLA_Triangularize( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, UB_l );
// Build VB from ABR, with explicit unit subdiagonal and zeros.
FLA_Copyt( FLA_TRANSPOSE, ABR_t, VB_l );
FLA_Part_2x1( VB_l, &VB_tl,
&VB_bl, 1, FLA_TOP );
FLA_Triangularize( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, VB_bl );
FLA_Set( FLA_ZERO, VB_tl );
// A22 = A22 - U2 * Y2' - Z2 * V2';
FLA_Gemm_external( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
FLA_MINUS_ONE, U2_l, Y2_l, FLA_ONE, A22 );
FLA_Gemm_external( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
FLA_MINUS_ONE, Z2_l, V2_l, FLA_ONE, A22 );
}
/*------------------------------------------------------------*/
FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
A10, A11, /**/ A12,
/* ************** */ /* ****************** */
&ABL, /**/ &ABR, A20, A21, /**/ A22,
FLA_TL );
FLA_Cont_with_3x1_to_2x1( &UT, U0,
U1,
/* ** */ /* ** */
&UB, U2, FLA_TOP );
FLA_Cont_with_3x1_to_2x1( &VT, V0,
V1,
/* ** */ /* ** */
&VB, V2, FLA_TOP );
FLA_Cont_with_3x1_to_2x1( &YT, Y0,
Y1,
/* ** */ /* ** */
&YB, Y2, FLA_TOP );
FLA_Cont_with_3x1_to_2x1( &ZT, Z0,
Z1,
/* ** */ /* ** */
&ZB, Z2, FLA_TOP );
FLA_Cont_with_1x3_to_1x2( &TUL, /**/ &TUR, TU0, TU1, /**/ TU2,
FLA_LEFT );
FLA_Cont_with_1x3_to_1x2( &TVL, /**/ &TVR, TV0, TV1, /**/ TV2,
FLA_LEFT );
}
FLA_Obj_free( &U );
FLA_Obj_free( &V );
FLA_Obj_free( &Y );
FLA_Obj_free( &Z );
return FLA_SUCCESS;
}
1.7.6.1