Exemple #1
0
void UN_C
( T alpha,
  const AbstractDistMatrix<T>& APre, 
        AbstractDistMatrix<T>& CPre,
  bool conjugate=false )
{
    EL_DEBUG_CSE
    const Int r = APre.Width();
    const Int bsize = Blocksize();
    const Grid& g = APre.Grid();

    DistMatrixReadProxy<T,T,MC,MR> AProx( APre );
    DistMatrixReadWriteProxy<T,T,MC,MR> CProx( CPre );
    auto& A = AProx.GetLocked();
    auto& C = CProx.Get();

    // Temporary distributions
    DistMatrix<T,MC,  STAR> A1_MC_STAR(g);
    DistMatrix<T,VR,  STAR> A1_VR_STAR(g);
    DistMatrix<T,STAR,MR  > A1Trans_STAR_MR(g);

    A1_MC_STAR.AlignWith( C );
    A1_VR_STAR.AlignWith( C );
    A1Trans_STAR_MR.AlignWith( C );

    for( Int k=0; k<r; k+=bsize )
    {
        const Int nb = Min(bsize,r-k);
        auto A1 = A( ALL, IR(k,k+nb) );

        A1_VR_STAR = A1_MC_STAR = A1;
        Transpose( A1_VR_STAR, A1Trans_STAR_MR, conjugate );
        LocalTrrk( UPPER, alpha, A1_MC_STAR, A1Trans_STAR_MR, T(1), C ); 
    }
}
Exemple #2
0
inline void
SyrkLN
( T alpha, const DistMatrix<T>& A, T beta, DistMatrix<T>& C, 
  bool conjugate=false )
{
#ifndef RELEASE
    PushCallStack("internal::SyrkLN");
    if( A.Grid() != C.Grid() )
        throw std::logic_error
        ("A and C must be distributed over the same grid");
    if( A.Height() != C.Height() || A.Height() != C.Width() )
    {
        std::ostringstream msg;
        msg << "Nonconformal SyrkLN:\n"
            << "  A ~ " << A.Height() << " x " << A.Width() << "\n"
            << "  C ~ " << C.Height() << " x " << C.Width() << "\n";
        throw std::logic_error( msg.str().c_str() );
    }
#endif
    const Grid& g = A.Grid();

    // Matrix views
    DistMatrix<T> AL(g), AR(g),
                  A0(g), A1(g), A2(g);

    // Temporary distributions
    DistMatrix<T,MC,  STAR> A1_MC_STAR(g);
    DistMatrix<T,VR,  STAR> A1_VR_STAR(g);
    DistMatrix<T,STAR,MR  > A1Trans_STAR_MR(g);

    A1_MC_STAR.AlignWith( C );
    A1_VR_STAR.AlignWith( C );
    A1Trans_STAR_MR.AlignWith( C );

    // Start the algorithm
    ScaleTrapezoid( beta, LEFT, LOWER, 0, C );
    LockedPartitionRight( A, AL, AR, 0 );
    while( AR.Width() > 0 )
    {
        LockedRepartitionRight
        ( AL, /**/ AR,
          A0, /**/ A1, A2 );

        //--------------------------------------------------------------------//
        A1_VR_STAR = A1_MC_STAR = A1;
        A1Trans_STAR_MR.TransposeFrom( A1_VR_STAR, conjugate );
        LocalTrrk( LOWER, alpha, A1_MC_STAR, A1Trans_STAR_MR, T(1), C );
        //--------------------------------------------------------------------//

        SlideLockedPartitionRight
        ( AL,     /**/ AR,
          A0, A1, /**/ A2 );
    }
#ifndef RELEASE
    PopCallStack();
#endif
}
Exemple #3
0
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
}
Exemple #4
0
inline void
GemmTTB
( Orientation orientationOfA, 
  Orientation orientationOfB,
  T alpha, const DistMatrix<T>& A,
           const DistMatrix<T>& B,
  T beta,        DistMatrix<T>& C )
{
#ifndef RELEASE
    PushCallStack("internal::GemmTTB");
    if( A.Grid() != B.Grid() || B.Grid() != C.Grid() )
        throw std::logic_error
        ("{A,B,C} must be distributed over the same grid");
    if( orientationOfA == NORMAL || orientationOfB == NORMAL )
        throw std::logic_error
        ("GemmTTB expects A and B to be (Conjugate)Transposed");
    if( A.Width()  != C.Height() ||
        B.Height() != C.Width()  ||
        A.Height() != B.Width()    )
    {
        std::ostringstream msg;
        msg << "Nonconformal GemmTTB: \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().c_str() );
    }
#endif
    const Grid& g = A.Grid();

    // Matrix views
    DistMatrix<T> AL(g), AR(g),
                  A0(g), A1(g), A2(g);
    DistMatrix<T> CT(g),  C0(g),
                  CB(g),  C1(g),
                          C2(g);

    // Temporary distributions
    DistMatrix<T,VR,  STAR> A1_VR_STAR(g);
    DistMatrix<T,STAR,MR  > A1AdjOrTrans_STAR_MR(g);
    DistMatrix<T,STAR,MC  > D1_STAR_MC(g);
    DistMatrix<T,MR,  MC  > D1_MR_MC(g);
    DistMatrix<T> D1(g);

    A1_VR_STAR.AlignWith( B );
    A1AdjOrTrans_STAR_MR.AlignWith( B );
    D1_STAR_MC.AlignWith( B );

    // Start the algorithm 
    Scale( beta, C );
    LockedPartitionRight( A, AL, AR, 0 );
    PartitionDown
    ( C, CT,
         CB, 0 );
    while( AR.Width() > 0 )
    {
        LockedRepartitionRight
        ( AL, /**/     AR,
          A0, /**/ A1, A2 );
 
        RepartitionDown
        ( CT,  C0,
         /**/ /**/
               C1,
          CB,  C2 );

        D1.AlignWith( C1 );
        Zeros( C1.Height(), C1.Width(), D1_STAR_MC );
        //--------------------------------------------------------------------//
        A1_VR_STAR = A1;
        if( orientationOfA == ADJOINT )
            A1AdjOrTrans_STAR_MR.AdjointFrom( A1_VR_STAR );
        else
            A1AdjOrTrans_STAR_MR.TransposeFrom( A1_VR_STAR );
 
        // D1[*,MC] := alpha (A1[MR,*])^[T/H] (B[MC,MR])^[T/H]
        //           = alpha (A1^[T/H])[*,MR] (B^[T/H])[MR,MC]
        LocalGemm
        ( NORMAL, orientationOfB, 
          alpha, A1AdjOrTrans_STAR_MR, B, T(0), D1_STAR_MC );

        // C1[MC,MR] += scattered & transposed D1[*,MC] summed over grid rows
        D1_MR_MC.SumScatterFrom( D1_STAR_MC );
        D1 = D1_MR_MC; 
        Axpy( T(1), D1, C1 );
        //--------------------------------------------------------------------//
        D1.FreeAlignments();

        SlideLockedPartitionRight
        ( AL,     /**/ AR,
          A0, A1, /**/ A2 );

        SlidePartitionDown
        ( CT,  C0,
               C1,
         /**/ /**/
          CB,  C2 );
    }
#ifndef RELEASE
    PopCallStack();
#endif
}
Exemple #5
0
inline void
Syr2kUN
( T alpha, const DistMatrix<T>& A, const DistMatrix<T>& B,
  T beta,        DistMatrix<T>& C,
  bool conjugate=false )
{
#ifndef RELEASE
    CallStackEntry entry("internal::Syr2kUN");
    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 Syr2kUN:\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().c_str() );
    }
#endif
    const Grid& g = C.Grid();

    // Matrix views 
    DistMatrix<T> AL(g), AR(g),
                  A0(g), A1(g), A2(g);
    DistMatrix<T> 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  > A1Trans_STAR_MR(g);
    DistMatrix<T,STAR,MR  > B1Trans_STAR_MR(g);

    A1_MC_STAR.AlignWith( C );
    B1_MC_STAR.AlignWith( C );
    A1_VR_STAR.AlignWith( C );
    B1_VR_STAR.AlignWith( C );
    A1Trans_STAR_MR.AlignWith( C );
    B1Trans_STAR_MR.AlignWith( C );

    // Start the algorithm
    ScaleTrapezoid( beta, LEFT, UPPER, 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;
        A1Trans_STAR_MR.TransposeFrom( A1_VR_STAR, conjugate );

        B1_VR_STAR = B1_MC_STAR = B1;
        B1Trans_STAR_MR.TransposeFrom( B1_VR_STAR, conjugate );

        LocalTrr2k
        ( UPPER, 
          alpha, A1_MC_STAR, B1Trans_STAR_MR,
                 B1_MC_STAR, A1Trans_STAR_MR,
          T(1),  C );
        //--------------------------------------------------------------------//

        SlideLockedPartitionRight
        ( AL,     /**/ AR,
          A0, A1, /**/ A2 );

        SlideLockedPartitionRight
        ( BL,     /**/ BR,
          B0, B1, /**/ B2 );
    }
}