Ejemplo n.º 1
0
inline void
PanelHouseholder( DistMatrix<F>& A, DistMatrix<F,MD,STAR>& t )
{
#ifndef RELEASE
    CallStackEntry entry("lq::PanelHouseholder");
    if( A.Grid() != t.Grid() )
        LogicError("{A,t} must be distributed over the same grid");
    if( t.Height() != Min(A.Height(),A.Width()) || t.Width() != 1 )
        LogicError
        ("t must be a vector of height equal to the minimum dimension of A");
    if( !t.AlignedWithDiagonal( A, 0 ) )
        LogicError("t must be aligned with A's main diagonal");
#endif
    const Grid& g = A.Grid();

    // Matrix views
    DistMatrix<F>
        ATL(g), ATR(g),  A00(g), a01(g),     A02(g),  aTopRow(g), ABottomPan(g),
        ABL(g), ABR(g),  a10(g), alpha11(g), a12(g),
                         A20(g), a21(g),     A22(g);
    DistMatrix<F,MD,STAR>
        tT(g),  t0(g),
        tB(g),  tau1(g),
                t2(g);

    // Temporary distributions
    DistMatrix<F> aTopRowConj(g);
    DistMatrix<F,STAR,MR  > aTopRowConj_STAR_MR(g);
    DistMatrix<F,MC,  STAR> z_MC_STAR(g);

    PartitionDownDiagonal
    ( A, ATL, ATR,
         ABL, ABR, 0 );
    PartitionDown
    ( t, tT,
         tB, 0 );
    while( ATL.Height() < A.Height() && ATL.Width() < A.Width() )
    {
        RepartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, /**/ a01,     A02,
         /*************/ /**********************/
               /**/       a10, /**/ alpha11, a12,
          ABL, /**/ ABR,  A20, /**/ a21,     A22, 1 );

        RepartitionDown
        ( tT,  t0,
         /**/ /****/
               tau1,
          tB,  t2, 1 );

        View1x2( aTopRow, alpha11, a12 );
        View1x2( ABottomPan, a21, A22 );

        aTopRowConj_STAR_MR.AlignWith( ABottomPan );
        z_MC_STAR.AlignWith( ABottomPan );
        //--------------------------------------------------------------------//
        // Compute the Householder reflector
        const F tau = Reflector( alpha11, a12 );
        tau1.Set( 0, 0, tau );

        // Apply the Householder reflector
        const bool myDiagonalEntry = ( g.Row() == alpha11.ColAlignment() &&
                                       g.Col() == alpha11.RowAlignment() );
        F alpha = 0;
        if( myDiagonalEntry )
        {
            alpha = alpha11.GetLocal(0,0);
            alpha11.SetLocal(0,0,1);
        }
        Conjugate( aTopRow, aTopRowConj );
        aTopRowConj_STAR_MR = aTopRowConj;
        Zeros( z_MC_STAR, ABottomPan.Height(), 1 );
        LocalGemv
        ( NORMAL, F(1), ABottomPan, aTopRowConj_STAR_MR, F(0), z_MC_STAR );
        z_MC_STAR.SumOverRow();
        Ger
        ( -Conj(tau),
          z_MC_STAR.LockedMatrix(),
          aTopRowConj_STAR_MR.LockedMatrix(),
          ABottomPan.Matrix() );
        if( myDiagonalEntry )
            alpha11.SetLocal(0,0,alpha);
        //--------------------------------------------------------------------//

        SlidePartitionDown
        ( tT,  t0,
               tau1,
         /**/ /****/
          tB,  t2 );

        SlidePartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, a01,     /**/ A02,
               /**/       a10, alpha11, /**/ a12,
         /*************/ /**********************/
          ABL, /**/ ABR,  A20, a21,     /**/ A22 );
    }
}
Ejemplo n.º 2
0
inline void UnblockedBidiagU
( DistMatrix<Complex<R> >& A, 
  DistMatrix<Complex<R>,MD,STAR>& tP,
  DistMatrix<Complex<R>,MD,STAR>& tQ )
{
#ifndef RELEASE
    PushCallStack("BidiagU");
#endif
    const int tPHeight = std::max(A.Width()-1,0);
    const int tQHeight = A.Width();
#ifndef RELEASE
    if( A.Grid() != tP.Grid() || tP.Grid() != tQ.Grid() )
        throw std::logic_error("Process grids do not match");
    if( A.Height() < A.Width() )
        throw std::logic_error("A must be at least as tall as it is wide");
    if( tP.Viewing() && (tP.Height() != tPHeight || tP.Width() != 1) )
        throw std::logic_error("tP is the wrong height");
    if( tQ.Viewing() && (tQ.Height() != tQHeight || tQ.Width() != 1) )
        throw std::logic_error("tQ is the wrong height");
#endif
    typedef Complex<R> C;
    const Grid& g = A.Grid();

    if( !tP.Viewing() )
        tP.ResizeTo( tPHeight, 1 );
    if( !tQ.Viewing() )
        tQ.ResizeTo( tQHeight, 1 );

    // Matrix views 
    DistMatrix<C>
        ATL(g), ATR(g),  A00(g), a01(g),     A02(g),  alpha12L(g), a12R(g),
        ABL(g), ABR(g),  a10(g), alpha11(g), a12(g),  aB1(g), AB2(g),
                         A20(g), a21(g),     A22(g);

    // Temporary matrices
    DistMatrix<C,STAR,MR  > a12_STAR_MR(g);
    DistMatrix<C,MC,  STAR> aB1_MC_STAR(g);
    DistMatrix<C,MR,  STAR> x12Adj_MR_STAR(g);
    DistMatrix<C,MC,  STAR> w21_MC_STAR(g);

    PushBlocksizeStack( 1 );
    PartitionDownDiagonal
    ( A, ATL, ATR,
         ABL, ABR, 0 );
    while( ATL.Width() < A.Width() )
    {
        RepartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, /**/ a01,     A02,
         /*************/ /**********************/
               /**/       a10, /**/ alpha11, a12,
          ABL, /**/ ABR,  A20, /**/ a21,     A22 );

        View2x1
        ( aB1, alpha11,
               a21 );
        View2x1
        ( AB2, a12,
               A22 );

        aB1_MC_STAR.AlignWith( aB1 );
        a12_STAR_MR.AlignWith( a12 );
        x12Adj_MR_STAR.AlignWith( AB2 );
        w21_MC_STAR.AlignWith( A22 );
        Zeros( a12.Width(), 1, x12Adj_MR_STAR );
        Zeros( a21.Height(), 1, w21_MC_STAR );
        const bool thisIsMyRow = ( g.Row() == alpha11.ColAlignment() );
        const bool thisIsMyCol = ( g.Col() == alpha11.RowAlignment() );
        const bool nextIsMyCol = ( g.Col() == a12.RowAlignment() );
        //--------------------------------------------------------------------//

        // Find tauQ, u, and epsilonQ such that
        //     I - conj(tauQ) | 1 | | 1, u^H | | alpha11 | = | epsilonQ |
        //                    | u |            |    a21  |   |    0     |
        const C tauQ = Reflector( alpha11, a21 );
        tQ.Set(A00.Height(),0,tauQ );
        C epsilonQ=0;
        if( thisIsMyCol && thisIsMyRow )
            epsilonQ = alpha11.GetLocal(0,0);

        // Set aB1 = | 1 | and form x12^H := (aB1^H AB2)^H = AB2^H aB1
        //           | u |
        alpha11.Set(0,0,C(1));
        aB1_MC_STAR = aB1;
        internal::LocalGemv
        ( ADJOINT, C(1), AB2, aB1_MC_STAR, C(0), x12Adj_MR_STAR );
        x12Adj_MR_STAR.SumOverCol();

        // Update AB2 := AB2 - conj(tauQ) aB1 x12
        //             = AB2 - conj(tauQ) aB1 aB1^H AB2 
        //             = (I - conj(tauQ) aB1 aB1^H) AB2
        internal::LocalGer( -Conj(tauQ), aB1_MC_STAR, x12Adj_MR_STAR, AB2 );

        // Put epsilonQ back instead of the temporary value, 1
        if( thisIsMyCol && thisIsMyRow )
            alpha11.SetLocal(0,0,epsilonQ);

        if( A22.Width() != 0 )
        {
            // Due to the deficiencies in the BLAS ?gemv routines, this section
            // is easier if we temporarily conjugate a12
            Conjugate( a12 ); 

            // Expose the subvector we seek to zero, a12R
            PartitionRight( a12, alpha12L, a12R );

            // Find tauP, v, and epsilonP such that
            //     I - conj(tauP) | 1 | | 1, v^H | | alpha12L | = | epsilonP |
            //                    | v |            |  a12R^T  |   |    0     |
            const C tauP = Reflector( alpha12L, a12R );
            tP.Set(A00.Height(),0,tauP);
            C epsilonP=0;
            if( nextIsMyCol && thisIsMyRow )
                epsilonP = alpha12L.GetLocal(0,0);

            // Set a12^T = | 1 | and form w21 := A22 a12^T = A22 | 1 |
            //             | v |                                 | v |
            alpha12L.Set(0,0,C(1));
            a12_STAR_MR = a12;
            internal::LocalGemv
            ( NORMAL, C(1), A22, a12_STAR_MR, C(0), w21_MC_STAR );
            w21_MC_STAR.SumOverRow();

            // A22 := A22 - tauP w21 conj(a12)
            //      = A22 - tauP A22 a12^T conj(a12)
            //      = A22 (I - tauP a12^T conj(a12))
            //      = A22 conj(I - conj(tauP) a12^H a12)
            // which compensates for the fact that the reflector was generated
            // on the conjugated a12.
            internal::LocalGer( -tauP, w21_MC_STAR, a12_STAR_MR, A22 );

            // Put epsilonP back instead of the temporary value, 1
            if( nextIsMyCol && thisIsMyRow )
                alpha12L.SetLocal(0,0,epsilonP);

            // Undue the temporary conjugation
            Conjugate( a12 );
        }
        //--------------------------------------------------------------------//
        aB1_MC_STAR.FreeAlignments();
        a12_STAR_MR.FreeAlignments();
        x12Adj_MR_STAR.FreeAlignments();
        w21_MC_STAR.FreeAlignments();

        SlidePartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, a01,     /**/ A02,
               /**/       a10, alpha11, /**/ a12,
         /*************/ /**********************/
          ABL, /**/ ABR,  A20, a21,     /**/ A22 );
    }
    PopBlocksizeStack();
#ifndef RELEASE
    PopCallStack();
#endif
}
Ejemplo n.º 3
0
inline void UnblockedBidiagU( DistMatrix<R>& A )
{
#ifndef RELEASE
    PushCallStack("bidiag::UnblockedBidiagU");
    if( A.Height() < A.Width() )
        throw std::logic_error("A must be at least as tall as it is wide");
#endif
    const Grid& g = A.Grid();

    // Matrix views 
    DistMatrix<R>
        ATL(g), ATR(g),  A00(g), a01(g),     A02(g),  alpha12L(g), a12R(g),
        ABL(g), ABR(g),  a10(g), alpha11(g), a12(g),  aB1(g), AB2(g),
                         A20(g), a21(g),     A22(g);

    // Temporary matrices
    DistMatrix<R,STAR,MR  > a12_STAR_MR(g);
    DistMatrix<R,MC,  STAR> aB1_MC_STAR(g);
    DistMatrix<R,MR,  STAR> x12Trans_MR_STAR(g);
    DistMatrix<R,MC,  STAR> w21_MC_STAR(g);

    PushBlocksizeStack( 1 );
    PartitionDownDiagonal
    ( A, ATL, ATR,
         ABL, ABR, 0 );
    while( ATL.Width() < A.Width() )
    {
        RepartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, /**/ a01,     A02,
         /*************/ /**********************/
               /**/       a10, /**/ alpha11, a12,
          ABL, /**/ ABR,  A20, /**/ a21,     A22 );

        View2x1
        ( aB1, alpha11,
               a21 );
        View2x1
        ( AB2, a12,
               A22 );

        aB1_MC_STAR.AlignWith( aB1 );
        a12_STAR_MR.AlignWith( a12 );
        x12Trans_MR_STAR.AlignWith( AB2 );
        w21_MC_STAR.AlignWith( A22 );
        Zeros( a12.Width(), 1, x12Trans_MR_STAR );
        Zeros( a21.Height(), 1, w21_MC_STAR );
        const bool thisIsMyRow = ( g.Row() == alpha11.ColAlignment() );
        const bool thisIsMyCol = ( g.Col() == alpha11.RowAlignment() );
        const bool nextIsMyCol = ( g.Col() == a12.RowAlignment() );
        //--------------------------------------------------------------------//

        // Find tauQ, u, and epsilonQ such that
        //     I - tauQ | 1 | | 1, u^T | | alpha11 | = | epsilonQ |
        //              | u |            |   a21   | = |    0     |
        const R tauQ = Reflector( alpha11, a21 );
        R epsilonQ=0;
        if( thisIsMyCol && thisIsMyRow )
            epsilonQ = alpha11.GetLocal(0,0);

        // Set aB1 = | 1 | and form x12^T := (aB1^T AB2)^T = AB2^T aB1
        //           | u |
        alpha11.Set(0,0,R(1));
        aB1_MC_STAR = aB1;
        internal::LocalGemv
        ( TRANSPOSE, R(1), AB2, aB1_MC_STAR, R(0), x12Trans_MR_STAR );
        x12Trans_MR_STAR.SumOverCol();

        // Update AB2 := AB2 - tauQ aB1 x12
        //             = AB2 - tauQ aB1 aB1^T AB2
        //             = (I - tauQ aB1 aB1^T) AB2
        internal::LocalGer( -tauQ, aB1_MC_STAR, x12Trans_MR_STAR, AB2 );

        // Put epsilonQ back instead of the temporary value, 1
        if( thisIsMyCol && thisIsMyRow )
            alpha11.SetLocal(0,0,epsilonQ);

        if( A22.Width() != 0 )
        {
            // Expose the subvector we seek to zero, a12R
            PartitionRight( a12, alpha12L, a12R );

            // Find tauP, v, and epsilonP such that
            //     I - tauP | 1 | | 1, v^T | | alpha12L | = | epsilonP |
            //              | v |            |  a12R^T  | = |    0     |
            const R tauP = Reflector( alpha12L, a12R );
            R epsilonP=0;
            if( nextIsMyCol && thisIsMyRow )
                epsilonP = alpha12L.GetLocal(0,0);

            // Set a12^T = | 1 | and form w21 := A22 a12^T = A22 | 1 |
            //             | v |                                 | v |
            alpha12L.Set(0,0,R(1));
            a12_STAR_MR = a12;
            internal::LocalGemv
            ( NORMAL, R(1), A22, a12_STAR_MR, R(0), w21_MC_STAR );
            w21_MC_STAR.SumOverRow();

            // A22 := A22 - tauP w21 a12
            //      = A22 - tauP A22 a12^T a12
            //      = A22 (I - tauP a12^T a12)
            internal::LocalGer( -tauP, w21_MC_STAR, a12_STAR_MR, A22 );

            // Put epsilonP back instead of the temporary value, 1
            if( nextIsMyCol && thisIsMyRow )
                alpha12L.SetLocal(0,0,epsilonP);
        }
        //--------------------------------------------------------------------//
        aB1_MC_STAR.FreeAlignments();
        a12_STAR_MR.FreeAlignments();
        x12Trans_MR_STAR.FreeAlignments();
        w21_MC_STAR.FreeAlignments();

        SlidePartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, a01,     /**/ A02,
               /**/       a10, alpha11, /**/ a12,
         /*************/ /**********************/
          ABL, /**/ ABR,  A20, a21,     /**/ A22 );
    }
    PopBlocksizeStack();
#ifndef RELEASE
    PopCallStack();
#endif
}
Ejemplo n.º 4
0
inline void
PanelLU
( DistMatrix<F,  STAR,STAR>& A, 
  DistMatrix<F,  MC,  STAR>& B, 
  DistMatrix<int,STAR,STAR>& p, 
  int pivotOffset )
{
#ifndef RELEASE
    PushCallStack("internal::PanelLU");
    if( A.Grid() != p.Grid() || p.Grid() != B.Grid() )
        throw std::logic_error
        ("Matrices must be distributed over the same grid");
    if( A.Width() != B.Width() )
        throw std::logic_error("A and B must be the same width");
    if( A.Height() != p.Height() || p.Width() != 1 )
        throw std::logic_error("p must be a vector that conforms with A");
#endif
    const Grid& g = A.Grid();
    const int r = g.Height();
    const int colShift = B.ColShift();
    const int colAlignment = B.ColAlignment();

    // Matrix views
    DistMatrix<F,STAR,STAR> 
        ATL(g), ATR(g),  A00(g), a01(g),     A02(g),  
        ABL(g), ABR(g),  a10(g), alpha11(g), a12(g),  
                         A20(g), a21(g),     A22(g);

    DistMatrix<F,MC,STAR>
        BL(g), BR(g),
        B0(g), b1(g), B2(g);

    const int width = A.Width();
    const int numBytes = (width+1)*sizeof(F)+sizeof(int);
    std::vector<byte> sendData(numBytes);
    std::vector<byte> recvData(numBytes);

    // Extract pointers to send and recv data
    // TODO: Think of how to make this safer with respect to alignment issues
    F* sendBufFloat = (F*)&sendData[0];
    F* recvBufFloat = (F*)&recvData[0];
    int* sendBufInt = (int*)&sendData[(width+1)*sizeof(F)];
    int* recvBufInt = (int*)&recvData[(width+1)*sizeof(F)];

    // Start the algorithm
    PushBlocksizeStack( 1 );
    PartitionDownDiagonal
    ( A, ATL, ATR,
         ABL, ABR, 0 );
    PartitionRight( B, BL, BR, 0 );
    while( ATL.Height() < A.Height() )
    {
        RepartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, /**/ a01,     A02,
         /*************/ /**********************/
               /**/       a10, /**/ alpha11, a12,
          ABL, /**/ ABR,  A20, /**/ a21,     A22 );

        RepartitionRight
        ( BL, /**/ BR,  
          B0, /**/ b1, B2 );

        //--------------------------------------------------------------------//
        const int currentRow = a01.Height();
        
        // Store the index/value of the pivot candidate in A
        F pivot = alpha11.GetLocal(0,0);
        int pivotRow = currentRow;
        for( int i=0; i<a21.Height(); ++i )
        {
            F value = a21.GetLocal(i,0);
            if( FastAbs(value) > FastAbs(pivot) )
            {
                pivot = value;
                pivotRow = currentRow + i + 1;
            }
        }

        // Update the pivot candidate to include local data from B
        for( int i=0; i<B.LocalHeight(); ++i )
        {
            F value = b1.GetLocal(i,0);
            if( FastAbs(value) > FastAbs(pivot) )
            {
                pivot = value;
                pivotRow = A.Height() + colShift + i*r;
            }
        }

        // Fill the send buffer with:
        // [ pivotValue | pivot row data | pivotRow ]
        if( pivotRow < A.Height() )
        {
            sendBufFloat[0] = A.GetLocal(pivotRow,a10.Width());

            const int ALDim = A.LocalLDim();
            const F* ABuffer = A.LocalBuffer(pivotRow,0);
            for( int j=0; j<width; ++j )
                sendBufFloat[j+1] = ABuffer[j*ALDim];
        }
        else
        {
            const int localRow = ((pivotRow-A.Height())-colShift)/r;
            sendBufFloat[0] = b1.GetLocal(localRow,0);

            const int BLDim = B.LocalLDim();
            const F* BBuffer = B.LocalBuffer(localRow,0);
            for( int j=0; j<width; ++j )
                sendBufFloat[j+1] = BBuffer[j*BLDim];
        }
        *sendBufInt = pivotRow;

        // Communicate to establish the pivot information
        mpi::AllReduce
        ( &sendData[0], &recvData[0], numBytes, PivotOp<F>(), g.ColComm() );

        // Update the pivot vector
        pivotRow = *recvBufInt;
        p.SetLocal(currentRow,0,pivotRow+pivotOffset);

        // Copy the current row into the pivot row
        if( pivotRow < A.Height() )
        {
            const int ALDim = A.LocalLDim();
            F* ASetBuffer = A.LocalBuffer(pivotRow,0);
            const F* AGetBuffer = A.LocalBuffer(currentRow,0);
            for( int j=0; j<width; ++j )
                ASetBuffer[j*ALDim] = AGetBuffer[j*ALDim];
        }
        else
        {
            const int ownerRank = (colAlignment+(pivotRow-A.Height())) % r;
            if( g.Row() == ownerRank )
            {
                const int localRow = ((pivotRow-A.Height())-colShift) / r;

                const int ALDim = A.LocalLDim();
                const int BLDim = B.LocalLDim();
                F* BBuffer = B.LocalBuffer(localRow,0);
                const F* ABuffer = A.LocalBuffer(currentRow,0);
                for( int j=0; j<width; ++j )
                    BBuffer[j*BLDim] = ABuffer[j*ALDim];
            }
        }

        // Copy the pivot row into the current row
        {
            F* ABuffer = A.LocalBuffer(currentRow,0);
            const int ALDim = A.LocalLDim();
            for( int j=0; j<width; ++j )
                ABuffer[j*ALDim] = recvBufFloat[j+1];
        }

        // Now we can perform the update of the current panel
        const F alpha = alpha11.GetLocal(0,0);
        if( alpha == F(0) )
            throw SingularMatrixException();
        const F alpha11Inv = F(1) / alpha;
        Scale( alpha11Inv, a21.LocalMatrix() );
        Scale( alpha11Inv, b1.LocalMatrix()  );
        Geru( F(-1), a21.LocalMatrix(), a12.LocalMatrix(), A22.LocalMatrix() );
        Geru( F(-1), b1.LocalMatrix(), a12.LocalMatrix(), B2.LocalMatrix() );
        //--------------------------------------------------------------------//

        SlidePartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, a01,     /**/ A02,
               /**/       a10, alpha11, /**/ a12,
         /*************/ /**********************/
          ABL, /**/ ABR,  A20, a21,     /**/ A22 );

        SlidePartitionRight
        ( BL,     /**/ BR,  
          B0, b1, /**/ B2 );
    }
    PopBlocksizeStack();

#ifndef RELEASE
    PopCallStack();
#endif
}
Ejemplo n.º 5
0
inline void
PanelLQ( DistMatrix<Real>& A )
{
#ifndef RELEASE
    PushCallStack("internal::PanelLQ");
#endif
    const Grid& g = A.Grid();

    // Matrix views
    DistMatrix<Real>
        ATL(g), ATR(g),  A00(g), a01(g),     A02(g),  aTopRow(g), ABottomPan(g),
        ABL(g), ABR(g),  a10(g), alpha11(g), a12(g),
                         A20(g), a21(g),     A22(g);

    // Temporary distributions
    DistMatrix<Real,STAR,MR> aTopRow_STAR_MR(g);
    DistMatrix<Real,MC,STAR> z_MC_STAR(g);

    PushBlocksizeStack( 1 );
    PartitionDownLeftDiagonal
    ( A, ATL, ATR,
         ABL, ABR, 0 );
    while( ATL.Height() < A.Height() && ATL.Width() < A.Width() )
    {
        RepartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, /**/ a01,     A02,
         /*************/ /**********************/
               /**/       a10, /**/ alpha11, a12,
          ABL, /**/ ABR,  A20, /**/ a21,     A22 );

        aTopRow.View1x2( alpha11, a12 );
        ABottomPan.View1x2( a21, A22 );

        aTopRow_STAR_MR.AlignWith( ABottomPan );
        z_MC_STAR.AlignWith( ABottomPan );
        Zeros( ABottomPan.Height(), 1, z_MC_STAR );
        //--------------------------------------------------------------------//
        const Real tau = Reflector( alpha11, a12 );

        const bool myDiagonalEntry = ( g.Row() == alpha11.ColAlignment() &&
                                       g.Col() == alpha11.RowAlignment() );
        Real alpha = 0;
        if( myDiagonalEntry )
        {
            alpha = alpha11.GetLocal(0,0);
            alpha11.SetLocal(0,0,1);
        }

        aTopRow_STAR_MR = aTopRow;

        Gemv
        ( NORMAL,
          Real(1), ABottomPan.LockedLocalMatrix(),
                   aTopRow_STAR_MR.LockedLocalMatrix(),
          Real(0), z_MC_STAR.LocalMatrix() );
        z_MC_STAR.SumOverRow();

        Ger
        ( -tau,
          z_MC_STAR.LockedLocalMatrix(),
          aTopRow_STAR_MR.LockedLocalMatrix(),
          ABottomPan.LocalMatrix() );

        if( myDiagonalEntry )
            alpha11.SetLocal(0,0,alpha);
        //--------------------------------------------------------------------//
        aTopRow_STAR_MR.FreeAlignments();
        z_MC_STAR.FreeAlignments();

        SlidePartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, a01,     /**/ A02,
               /**/       a10, alpha11, /**/ a12,
         /*************/ /**********************/
          ABL, /**/ ABR,  A20, a21,     /**/ A22 );
    }
    PopBlocksizeStack();
#ifndef RELEASE
    PopCallStack();
#endif
}
Ejemplo n.º 6
0
inline void
PanelLQ
( DistMatrix<Complex<Real> >& A,
  DistMatrix<Complex<Real>,MD,STAR>& t )
{
#ifndef RELEASE
    PushCallStack("internal::PanelLQ");
    if( A.Grid() != t.Grid() )
        throw std::logic_error("{A,t} must be distributed over the same grid");
    if( t.Height() != std::min(A.Height(),A.Width()) || t.Width() != 1 )
        throw std::logic_error
        ("t must be a vector of height equal to the minimum dimension of A");
    if( !t.AlignedWithDiagonal( A, 0 ) )
        throw std::logic_error("t must be aligned with A's main diagonal");
#endif
    typedef Complex<Real> C;
    const Grid& g = A.Grid();

    // Matrix views
    DistMatrix<C>
        ATL(g), ATR(g),  A00(g), a01(g),     A02(g),  aTopRow(g), ABottomPan(g),
        ABL(g), ABR(g),  a10(g), alpha11(g), a12(g),
                         A20(g), a21(g),     A22(g);
    DistMatrix<C,MD,STAR>
        tT(g),  t0(g),
        tB(g),  tau1(g),
                t2(g);

    // Temporary distributions
    DistMatrix<C> aTopRowConj(g);
    DistMatrix<C,STAR,MR  > aTopRowConj_STAR_MR(g);
    DistMatrix<C,MC,  STAR> z_MC_STAR(g);

    PushBlocksizeStack( 1 );
    PartitionDownLeftDiagonal
    ( A, ATL, ATR,
         ABL, ABR, 0 );
    PartitionDown
    ( t, tT,
         tB, 0 );
    while( ATL.Height() < A.Height() && ATL.Width() < A.Width() )
    {
        RepartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, /**/ a01,     A02,
         /*************/ /**********************/
               /**/       a10, /**/ alpha11, a12,
          ABL, /**/ ABR,  A20, /**/ a21,     A22 );

        RepartitionDown
        ( tT,  t0,
         /**/ /****/
               tau1,
          tB,  t2 );

        aTopRow.View1x2( alpha11, a12 );
        ABottomPan.View1x2( a21, A22 );

        aTopRowConj_STAR_MR.AlignWith( ABottomPan );
        z_MC_STAR.AlignWith( ABottomPan );
        Zeros( ABottomPan.Height(), 1, z_MC_STAR );
        //--------------------------------------------------------------------//
        const C tau = Reflector( alpha11, a12 );
        tau1.Set( 0, 0, tau );

        const bool myDiagonalEntry = ( g.Row() == alpha11.ColAlignment() &&
                                       g.Col() == alpha11.RowAlignment() );
        C alpha = 0;
        if( myDiagonalEntry )
        {
            alpha = alpha11.GetLocal(0,0);
            alpha11.SetLocal(0,0,1);
        }

        Conjugate( aTopRow, aTopRowConj );
        aTopRowConj_STAR_MR = aTopRowConj;

        Gemv
        ( NORMAL,
          C(1), ABottomPan.LockedLocalMatrix(),
                aTopRowConj_STAR_MR.LockedLocalMatrix(),
          C(0), z_MC_STAR.LocalMatrix() );
        z_MC_STAR.SumOverRow();

        Ger
        ( -Conj(tau),
          z_MC_STAR.LockedLocalMatrix(),
          aTopRowConj_STAR_MR.LockedLocalMatrix(),
          ABottomPan.LocalMatrix() );

        if( myDiagonalEntry )
            alpha11.SetLocal(0,0,alpha);
        //--------------------------------------------------------------------//
        aTopRowConj_STAR_MR.FreeAlignments();
        z_MC_STAR.FreeAlignments();

        SlidePartitionDown
        ( tT,  t0,
               tau1,
         /**/ /****/
          tB,  t2 );

        SlidePartitionDownDiagonal
        ( ATL, /**/ ATR,  A00, a01,     /**/ A02,
               /**/       a10, alpha11, /**/ a12,
         /*************/ /**********************/
          ABL, /**/ ABR,  A20, a21,     /**/ A22 );
    }
    PopBlocksizeStack();
#ifndef RELEASE
    PopCallStack();
#endif
}