inline void
Her2kLN
( T alpha, const DistMatrix<T,MC,MR>& A,
const DistMatrix<T,MC,MR>& B,
T beta, DistMatrix<T,MC,MR>& C )
{
#ifndef RELEASE
PushCallStack("internal::Her2kLN");
if( A.Grid() != B.Grid() || B.Grid() != C.Grid() )
throw std::logic_error
("{A,B,C} must be distributed over the same grid");
if( A.Height() != C.Height() || A.Height() != C.Width() ||
B.Height() != C.Height() || B.Height() != C.Width() ||
A.Width() != B.Width() )
{
std::ostringstream msg;
msg << "Nonconformal Her2kLN:\n"
<< " A ~ " << A.Height() << " x " << A.Width() << "\n"
<< " B ~ " << B.Height() << " x " << B.Width() << "\n"
<< " C ~ " << C.Height() << " x " << C.Width() << "\n";
throw std::logic_error( msg.str() );
}
#endif
const Grid& g = A.Grid();
// Matrix views
DistMatrix<T,MC,MR> AL(g), AR(g),
A0(g), A1(g), A2(g);
DistMatrix<T,MC,MR> BL(g), BR(g),
B0(g), B1(g), B2(g);
// Temporary distributions
DistMatrix<T,MC, STAR> A1_MC_STAR(g);
DistMatrix<T,MC, STAR> B1_MC_STAR(g);
DistMatrix<T,VR, STAR> A1_VR_STAR(g);
DistMatrix<T,VR, STAR> B1_VR_STAR(g);
DistMatrix<T,STAR,MR > A1Adj_STAR_MR(g);
DistMatrix<T,STAR,MR > B1Adj_STAR_MR(g);
A1_MC_STAR.AlignWith( C );
B1_MC_STAR.AlignWith( C );
A1_VR_STAR.AlignWith( C );
B1_VR_STAR.AlignWith( C );
A1Adj_STAR_MR.AlignWith( C );
B1Adj_STAR_MR.AlignWith( C );
// Start the algorithm
ScaleTrapezoid( beta, LEFT, LOWER, 0, C );
LockedPartitionRight( A, AL, AR, 0 );
LockedPartitionRight( B, BL, BR, 0 );
while( AR.Width() > 0 )
{
LockedRepartitionRight
( AL, /**/ AR,
A0, /**/ A1, A2 );
LockedRepartitionRight
( BL, /**/ BR,
B0, /**/ B1, B2 );
//--------------------------------------------------------------------//
A1_VR_STAR = A1_MC_STAR = A1;
A1Adj_STAR_MR.AdjointFrom( A1_VR_STAR );
B1_VR_STAR = B1_MC_STAR = B1;
B1Adj_STAR_MR.AdjointFrom( B1_VR_STAR );
LocalTrr2k
( LOWER,
alpha, A1_MC_STAR, B1Adj_STAR_MR,
B1_MC_STAR, A1Adj_STAR_MR,
T(1), C );
//--------------------------------------------------------------------//
SlideLockedPartitionRight
( AL, /**/ AR,
A0, A1, /**/ A2 );
SlideLockedPartitionRight
( BL, /**/ BR,
B0, B1, /**/ B2 );
}
#ifndef RELEASE
PopCallStack();
#endif
}
inline void
HemmLUA
( T alpha, const DistMatrix<T>& A,
const DistMatrix<T>& B,
T beta, DistMatrix<T>& C )
{
#ifndef RELEASE
PushCallStack("internal::HemmLUA");
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> B1Adj_STAR_MR(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);
DistMatrix<T> Z1(g);
B1_MC_STAR.AlignWith( A );
B1_VR_STAR.AlignWith( A );
B1Adj_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;
B1Adj_STAR_MR.AdjointFrom( B1_VR_STAR );
LocalSymmetricAccumulateLU
( ADJOINT,
alpha, A, B1_MC_STAR, B1Adj_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
}