inline void
TrdtrmmUVar1( Orientation orientation, DistMatrix<F>& U )
{
#ifndef RELEASE
PushCallStack("internal::TrdtrmmUVar1");
if( U.Height() != U.Width() )
throw std::logic_error("U must be square");
if( orientation == NORMAL )
throw std::logic_error("Orientation must be (conjugate-)transpose");
#endif
const Grid& g = U.Grid();
// Matrix views
DistMatrix<F>
UTL(g), UTR(g), U00(g), U01(g), U02(g),
UBL(g), UBR(g), U10(g), U11(g), U12(g),
U20(g), U21(g), U22(g);
DistMatrix<F,MD,STAR> d1(g);
// Temporary distributions
DistMatrix<F,MC, STAR> S01_MC_STAR(g);
DistMatrix<F,VC, STAR> S01_VC_STAR(g);
DistMatrix<F,VR, STAR> U01_VR_STAR(g);
DistMatrix<F,STAR,MR > U01AdjOrTrans_STAR_MR(g);
DistMatrix<F,STAR,STAR> U11_STAR_STAR(g);
S01_MC_STAR.AlignWith( U );
S01_VC_STAR.AlignWith( U );
U01_VR_STAR.AlignWith( U );
U01AdjOrTrans_STAR_MR.AlignWith( U );
PartitionDownDiagonal
( U, UTL, UTR,
UBL, UBR, 0 );
while( UTL.Height() < U.Height() && UTL.Width() < U.Height() )
{
RepartitionDownDiagonal
( UTL, /**/ UTR, U00, /**/ U01, U02,
/*************/ /******************/
/**/ U10, /**/ U11, U12,
UBL, /**/ UBR, U20, /**/ U21, U22 );
//--------------------------------------------------------------------//
U11.GetDiagonal( d1 );
S01_MC_STAR = U01;
S01_VC_STAR = S01_MC_STAR;
U01_VR_STAR = S01_VC_STAR;
if( orientation == TRANSPOSE )
{
DiagonalSolve( RIGHT, NORMAL, d1, U01_VR_STAR );
U01AdjOrTrans_STAR_MR.TransposeFrom( U01_VR_STAR );
}
else
{
DiagonalSolve( RIGHT, ADJOINT, d1, U01_VR_STAR );
U01AdjOrTrans_STAR_MR.AdjointFrom( U01_VR_STAR );
}
LocalTrrk( UPPER, F(1), S01_MC_STAR, U01AdjOrTrans_STAR_MR, F(1), U00 );
U11_STAR_STAR = U11;
LocalTrmm
( RIGHT, UPPER, ADJOINT, UNIT, F(1), U11_STAR_STAR, U01_VR_STAR );
U01 = U01_VR_STAR;
LocalTrdtrmm( orientation, UPPER, U11_STAR_STAR );
U11 = U11_STAR_STAR;
//--------------------------------------------------------------------//
d1.FreeAlignments();
SlidePartitionDownDiagonal
( UTL, /**/ UTR, U00, U01, /**/ U02,
/**/ U10, U11, /**/ U12,
/*************/ /******************/
UBL, /**/ UBR, U20, U21, /**/ U22 );
}
#ifndef RELEASE
PopCallStack();
#endif
}
inline void
TrdtrmmLVar1( Orientation orientation, DistMatrix<F>& L )
{
#ifndef RELEASE
CallStackEntry entry("internal::TrdtrmmLVar1");
if( L.Height() != L.Width() )
LogicError("L must be square");
if( orientation == NORMAL )
LogicError("Orientation must be (conjugate-)transpose");
#endif
const Grid& g = L.Grid();
// Matrix views
DistMatrix<F>
LTL(g), LTR(g), L00(g), L01(g), L02(g),
LBL(g), LBR(g), L10(g), L11(g), L12(g),
L20(g), L21(g), L22(g);
DistMatrix<F,MD,STAR> d1(g);
// Temporary distributions
DistMatrix<F,STAR,VR > L10_STAR_VR(g);
DistMatrix<F,STAR,VC > S10_STAR_VC(g);
DistMatrix<F,STAR,MC > S10_STAR_MC(g);
DistMatrix<F,STAR,MR > L10_STAR_MR(g);
DistMatrix<F,STAR,STAR> L11_STAR_STAR(g);
L10_STAR_VR.AlignWith( L );
S10_STAR_VC.AlignWith( L );
S10_STAR_MC.AlignWith( L );
L10_STAR_MR.AlignWith( L );
PartitionDownDiagonal
( L, LTL, LTR,
LBL, LBR, 0 );
while( LTL.Height() < L.Height() && LTL.Width() < L.Height() )
{
RepartitionDownDiagonal
( LTL, /**/ LTR, L00, /**/ L01, L02,
/*************/ /******************/
/**/ L10, /**/ L11, L12,
LBL, /**/ LBR, L20, /**/ L21, L22 );
//--------------------------------------------------------------------//
L11.GetDiagonal( d1 );
L10_STAR_VR = L10;
S10_STAR_VC = L10_STAR_VR;
S10_STAR_MC = S10_STAR_VC;
DiagonalSolve( LEFT, NORMAL, d1, L10_STAR_VR, true );
L10_STAR_MR = L10_STAR_VR;
LocalTrrk
( LOWER, orientation, F(1), S10_STAR_MC, L10_STAR_MR, F(1), L00 );
L11_STAR_STAR = L11;
LocalTrmm
( LEFT, LOWER, orientation, UNIT, F(1), L11_STAR_STAR, L10_STAR_VR );
L10 = L10_STAR_VR;
LocalTrdtrmm( orientation, LOWER, L11_STAR_STAR );
L11 = L11_STAR_STAR;
//--------------------------------------------------------------------//
SlidePartitionDownDiagonal
( LTL, /**/ LTR, L00, L01, /**/ L02,
/**/ L10, L11, /**/ L12,
/*************/ /******************/
LBL, /**/ LBR, L20, L21, /**/ L22 );
}
}
