inline void
TrsmLLTSmall
( Orientation orientation, UnitOrNonUnit diag,
F alpha, const DistMatrix<F,STAR,VR>& L, DistMatrix<F,VR,STAR>& X,
bool checkIfSingular )
{
#ifndef RELEASE
PushCallStack("internal::TrsmLLTSmall");
if( L.Grid() != X.Grid() )
throw std::logic_error
("L and X must be distributed over the same grid");
if( orientation == NORMAL )
throw std::logic_error("TrsmLLT expects a (Conjugate)Transpose option");
if( L.Height() != L.Width() || L.Height() != X.Height() )
{
std::ostringstream msg;
msg << "Nonconformal TrsmLLT: \n"
<< " L ~ " << L.Height() << " x " << L.Width() << "\n"
<< " X ~ " << X.Height() << " x " << X.Width() << "\n";
throw std::logic_error( msg.str().c_str() );
}
if( L.RowAlignment() != X.ColAlignment() )
throw std::logic_error("L and X must be aligned");
#endif
const Grid& g = L.Grid();
// Matrix views
DistMatrix<F,STAR,VR>
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,VR,STAR> XT(g), X0(g),
XB(g), X1(g),
X2(g);
// Temporary distributions
DistMatrix<F,STAR,STAR> L11_STAR_STAR(g);
DistMatrix<F,STAR,STAR> X1_STAR_STAR(g);
// Start the algorithm
Scale( alpha, X );
LockedPartitionUpDiagonal
( L, LTL, LTR,
LBL, LBR, 0 );
PartitionUp
( X, XT,
XB, 0 );
while( XT.Height() > 0 )
{
LockedRepartitionUpDiagonal
( LTL, /**/ LTR, L00, L01, /**/ L02,
/**/ L10, L11, /**/ L12,
/*************/ /******************/
LBL, /**/ LBR, L20, L21, /**/ L22 );
RepartitionUp
( XT, X0,
X1,
/**/ /**/
XB, X2 );
//--------------------------------------------------------------------//
L11_STAR_STAR = L11; // L11[* ,* ] <- L11[* ,VR]
X1_STAR_STAR = X1; // X1[* ,* ] <- X1[VR,* ]
// X1[* ,* ] := L11^-[T/H][* ,* ] X1[* ,* ]
LocalTrsm
( LEFT, LOWER, orientation, diag,
F(1), L11_STAR_STAR, X1_STAR_STAR, checkIfSingular );
X1 = X1_STAR_STAR;
// X0[VR,* ] -= L10[* ,VR]^(T/H) X1[* ,* ]
LocalGemm( orientation, NORMAL, F(-1), L10, X1_STAR_STAR, F(1), X0 );
//--------------------------------------------------------------------//
SlideLockedPartitionUpDiagonal
( LTL, /**/ LTR, L00, /**/ L01, L02,
/*************/ /******************/
/**/ L10, /**/ L11, L12,
LBL, /**/ LBR, L20, /**/ L21, L22 );
SlidePartitionUp
( XT, X0,
/**/ /**/
X1,
XB, X2 );
}
#ifndef RELEASE
PopCallStack();
#endif
}
inline void
TrsmLUNSmall
( UnitOrNonUnit diag,
F alpha, const DistMatrix<F,VC,STAR>& U, DistMatrix<F,VC,STAR>& X,
bool checkIfSingular )
{
#ifndef RELEASE
PushCallStack("internal::TrsmLUNSmall");
if( U.Grid() != X.Grid() )
throw std::logic_error
("U and X must be distributed over the same grid");
if( U.Height() != U.Width() || U.Width() != X.Height() )
{
std::ostringstream msg;
msg << "Nonconformal TrsmLUN: \n"
<< " U ~ " << U.Height() << " x " << U.Width() << "\n"
<< " X ~ " << X.Height() << " x " << X.Width() << "\n";
throw std::logic_error( msg.str() );
}
if( U.ColAlignment() != X.ColAlignment() )
throw std::logic_error("U and X are assumed to be aligned");
#endif
const Grid& g = U.Grid();
// Matrix views
DistMatrix<F,VC,STAR>
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,VC,STAR> XT(g), X0(g),
XB(g), X1(g),
X2(g);
// Temporary distributions
DistMatrix<F,STAR,STAR> U11_STAR_STAR(g);
DistMatrix<F,STAR,STAR> X1_STAR_STAR(g);
// Start the algorithm
Scale( alpha, X );
LockedPartitionUpDiagonal
( U, UTL, UTR,
UBL, UBR, 0 );
PartitionUp
( X, XT,
XB, 0 );
while( XT.Height() > 0 )
{
LockedRepartitionUpDiagonal
( UTL, /**/ UTR, U00, U01, /**/ U02,
/**/ U10, U11, /**/ U12,
/*************/ /******************/
UBL, /**/ UBR, U20, U21, /**/ U22 );
RepartitionUp
( XT, X0,
X1,
/**/ /**/
XB, X2 );
//--------------------------------------------------------------------//
U11_STAR_STAR = U11; // U11[* ,* ] <- U11[VC,* ]
X1_STAR_STAR = X1; // X1[* ,* ] <- X1[VC,* ]
// X1[* ,* ] := U11^-1[* ,* ] X1[* ,* ]
LocalTrsm
( LEFT, UPPER, NORMAL, diag,
F(1), U11_STAR_STAR, X1_STAR_STAR, checkIfSingular );
X1 = X1_STAR_STAR;
// X0[VC,* ] -= U01[VC,* ] X1[* ,* ]
LocalGemm( NORMAL, NORMAL, F(-1), U01, X1_STAR_STAR, F(1), X0 );
//--------------------------------------------------------------------//
SlideLockedPartitionUpDiagonal
( UTL, /**/ UTR, U00, /**/ U01, U02,
/*************/ /******************/
/**/ U10, /**/ U11, U12,
UBL, /**/ UBR, U20, /**/ U21, U22 );
SlidePartitionUp
( XT, X0,
/**/ /**/
X1,
XB, X2 );
}
#ifndef RELEASE
PopCallStack();
#endif
}
