inline void
TrmmLLTA
( Orientation orientation,
UnitOrNonUnit diag,
T alpha,
const DistMatrix<T>& L,
DistMatrix<T>& X )
{
#ifndef RELEASE
PushCallStack("internal::TrmmLLTA");
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
("TrmmLLTA expects a (Conjugate)Transpose option");
if( L.Height() != L.Width() || L.Height() != X.Height() )
{
std::ostringstream msg;
msg << "Nonconformal TrmmLLTA: \n"
<< " L ~ " << L.Height() << " x " << L.Width() << "\n"
<< " X ~ " << X.Height() << " x " << X.Width() << "\n";
throw std::logic_error( msg.str().c_str() );
}
#endif
const Grid& g = L.Grid();
// Matrix views
DistMatrix<T>
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<T>
XL(g), XR(g),
X0(g), X1(g), X2(g);
DistMatrix<T,MC,STAR> X1_MC_STAR(g);
DistMatrix<T,MR,STAR> Z1_MR_STAR(g);
DistMatrix<T,MR,MC > Z1_MR_MC(g);
X1_MC_STAR.AlignWith( L );
Z1_MR_STAR.AlignWith( L );
PartitionRight( X, XL, XR, 0 );
while( XL.Width() < X.Width() )
{
RepartitionRight
( XL, /**/ XR,
X0, /**/ X1, X2 );
Zeros( X1.Height(), X1.Width(), Z1_MR_STAR );
//--------------------------------------------------------------------//
X1_MC_STAR = X1;
LocalTrmmAccumulateLLT
( orientation, diag, alpha, L, X1_MC_STAR, Z1_MR_STAR );
Z1_MR_MC.SumScatterFrom( Z1_MR_STAR );
X1 = Z1_MR_MC;
//--------------------------------------------------------------------//
SlidePartitionRight
( XL, /**/ XR,
X0, X1, /**/ X2 );
}
#ifndef RELEASE
PopCallStack();
#endif
}
inline void
SymmLLA
( T alpha, const DistMatrix<T>& A, const DistMatrix<T>& B,
T beta, DistMatrix<T>& C )
{
#ifndef RELEASE
PushCallStack("internal::SymmLLA");
if( A.Grid() != B.Grid() || B.Grid() != C.Grid() )
throw std::logic_error
("{A,B,C} must be distributed over the same grid");
#endif
const Grid& g = A.Grid();
DistMatrix<T>
BL(g), BR(g),
B0(g), B1(g), B2(g);
DistMatrix<T>
CL(g), CR(g),
C0(g), C1(g), C2(g);
DistMatrix<T,MC,STAR> B1_MC_STAR(g);
DistMatrix<T,VR,STAR> B1_VR_STAR(g);
DistMatrix<T,STAR,MR> B1Trans_STAR_MR(g);
DistMatrix<T> Z1(g);
DistMatrix<T,MC,STAR> Z1_MC_STAR(g);
DistMatrix<T,MR,STAR> Z1_MR_STAR(g);
DistMatrix<T,MR,MC > Z1_MR_MC(g);
B1_MC_STAR.AlignWith( A );
B1_VR_STAR.AlignWith( A );
B1Trans_STAR_MR.AlignWith( A );
Z1_MC_STAR.AlignWith( A );
Z1_MR_STAR.AlignWith( A );
Scale( beta, C );
LockedPartitionRight
( B, BL, BR, 0 );
PartitionRight
( C, CL, CR, 0 );
while( CL.Width() < C.Width() )
{
LockedRepartitionRight
( BL, /**/ BR,
B0, /**/ B1, B2 );
RepartitionRight
( CL, /**/ CR,
C0, /**/ C1, C2 );
Z1.AlignWith( C1 );
Zeros( C1.Height(), C1.Width(), Z1_MC_STAR );
Zeros( C1.Height(), C1.Width(), Z1_MR_STAR );
//--------------------------------------------------------------------//
B1_MC_STAR = B1;
B1_VR_STAR = B1_MC_STAR;
B1Trans_STAR_MR.TransposeFrom( B1_VR_STAR );
LocalSymmetricAccumulateLL
( TRANSPOSE,
alpha, A, B1_MC_STAR, B1Trans_STAR_MR, Z1_MC_STAR, Z1_MR_STAR );
Z1_MR_MC.SumScatterFrom( Z1_MR_STAR );
Z1 = Z1_MR_MC;
Z1.SumScatterUpdate( T(1), Z1_MC_STAR );
Axpy( T(1), Z1, C1 );
//--------------------------------------------------------------------//
Z1.FreeAlignments();
SlideLockedPartitionRight
( BL, /**/ BR,
B0, B1, /**/ B2 );
SlidePartitionRight
( CL, /**/ CR,
C0, C1, /**/ C2 );
}
#ifndef RELEASE
PopCallStack();
#endif
}