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-*> \brief \b DLARF
-*
-* =========== DOCUMENTATION ===========
-*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
-*
-*> \htmlonly
-*> Download DLARF + dependencies
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarf.f">
-*> [TGZ]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarf.f">
-*> [ZIP]</a>
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarf.f">
-*> [TXT]</a>
-*> \endhtmlonly
-*
-* Definition:
-* ===========
-*
-* SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
-*
-* .. Scalar Arguments ..
-* CHARACTER SIDE
-* INTEGER INCV, LDC, M, N
-* DOUBLE PRECISION TAU
-* ..
-* .. Array Arguments ..
-* DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * )
-* ..
-*
-*
-*> \par Purpose:
-* =============
-*>
-*> \verbatim
-*>
-*> DLARF applies a real elementary reflector H to a real m by n matrix
-*> C, from either the left or the right. H is represented in the form
-*>
-*> H = I - tau * v * v**T
-*>
-*> where tau is a real scalar and v is a real vector.
-*>
-*> If tau = 0, then H is taken to be the unit matrix.
-*> \endverbatim
-*
-* Arguments:
-* ==========
-*
-*> \param[in] SIDE
-*> \verbatim
-*> SIDE is CHARACTER*1
-*> = 'L': form H * C
-*> = 'R': form C * H
-*> \endverbatim
-*>
-*> \param[in] M
-*> \verbatim
-*> M is INTEGER
-*> The number of rows of the matrix C.
-*> \endverbatim
-*>
-*> \param[in] N
-*> \verbatim
-*> N is INTEGER
-*> The number of columns of the matrix C.
-*> \endverbatim
-*>
-*> \param[in] V
-*> \verbatim
-*> V is DOUBLE PRECISION array, dimension
-*> (1 + (M-1)*abs(INCV)) if SIDE = 'L'
-*> or (1 + (N-1)*abs(INCV)) if SIDE = 'R'
-*> The vector v in the representation of H. V is not used if
-*> TAU = 0.
-*> \endverbatim
-*>
-*> \param[in] INCV
-*> \verbatim
-*> INCV is INTEGER
-*> The increment between elements of v. INCV <> 0.
-*> \endverbatim
-*>
-*> \param[in] TAU
-*> \verbatim
-*> TAU is DOUBLE PRECISION
-*> The value tau in the representation of H.
-*> \endverbatim
-*>
-*> \param[in,out] C
-*> \verbatim
-*> C is DOUBLE PRECISION array, dimension (LDC,N)
-*> On entry, the m by n matrix C.
-*> On exit, C is overwritten by the matrix H * C if SIDE = 'L',
-*> or C * H if SIDE = 'R'.
-*> \endverbatim
-*>
-*> \param[in] LDC
-*> \verbatim
-*> LDC is INTEGER
-*> The leading dimension of the array C. LDC >= max(1,M).
-*> \endverbatim
-*>
-*> \param[out] WORK
-*> \verbatim
-*> WORK is DOUBLE PRECISION array, dimension
-*> (N) if SIDE = 'L'
-*> or (M) if SIDE = 'R'
-*> \endverbatim
-*
-* Authors:
-* ========
-*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
-*
-*> \date November 2011
-*
-*> \ingroup doubleOTHERauxiliary
-*
-* =====================================================================
- SUBROUTINE DLARF( SIDE, M, N, V, INCV, TAU, C, LDC, WORK )
-*
-* -- LAPACK auxiliary routine (version 3.4.0) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
-*
-* .. Scalar Arguments ..
- CHARACTER SIDE
- INTEGER INCV, LDC, M, N
- DOUBLE PRECISION TAU
-* ..
-* .. Array Arguments ..
- DOUBLE PRECISION C( LDC, * ), V( * ), WORK( * )
-* ..
-*
-* =====================================================================
-*
-* .. Parameters ..
- DOUBLE PRECISION ONE, ZERO
- PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
-* ..
-* .. Local Scalars ..
- LOGICAL APPLYLEFT
- INTEGER I, LASTV, LASTC
-* ..
-* .. External Subroutines ..
- EXTERNAL DGEMV, DGER
-* ..
-* .. External Functions ..
- LOGICAL LSAME
- INTEGER ILADLR, ILADLC
- EXTERNAL LSAME, ILADLR, ILADLC
-* ..
-* .. Executable Statements ..
-*
- APPLYLEFT = LSAME( SIDE, 'L' )
- LASTV = 0
- LASTC = 0
- IF( TAU.NE.ZERO ) THEN
-! Set up variables for scanning V. LASTV begins pointing to the end
-! of V.
- IF( APPLYLEFT ) THEN
- LASTV = M
- ELSE
- LASTV = N
- END IF
- IF( INCV.GT.0 ) THEN
- I = 1 + (LASTV-1) * INCV
- ELSE
- I = 1
- END IF
-! Look for the last non-zero row in V.
- DO WHILE( LASTV.GT.0 .AND. V( I ).EQ.ZERO )
- LASTV = LASTV - 1
- I = I - INCV
- END DO
- IF( APPLYLEFT ) THEN
-! Scan for the last non-zero column in C(1:lastv,:).
- LASTC = ILADLC(LASTV, N, C, LDC)
- ELSE
-! Scan for the last non-zero row in C(:,1:lastv).
- LASTC = ILADLR(M, LASTV, C, LDC)
- END IF
- END IF
-! Note that lastc.eq.0 renders the BLAS operations null; no special
-! case is needed at this level.
- IF( APPLYLEFT ) THEN
-*
-* Form H * C
-*
- IF( LASTV.GT.0 ) THEN
-*
-* w(1:lastc,1) := C(1:lastv,1:lastc)**T * v(1:lastv,1)
-*
- CALL DGEMV( 'Transpose', LASTV, LASTC, ONE, C, LDC, V, INCV,
- $ ZERO, WORK, 1 )
-*
-* C(1:lastv,1:lastc) := C(...) - v(1:lastv,1) * w(1:lastc,1)**T
-*
- CALL DGER( LASTV, LASTC, -TAU, V, INCV, WORK, 1, C, LDC )
- END IF
- ELSE
-*
-* Form C * H
-*
- IF( LASTV.GT.0 ) THEN
-*
-* w(1:lastc,1) := C(1:lastc,1:lastv) * v(1:lastv,1)
-*
- CALL DGEMV( 'No transpose', LASTC, LASTV, ONE, C, LDC,
- $ V, INCV, ZERO, WORK, 1 )
-*
-* C(1:lastc,1:lastv) := C(...) - w(1:lastc,1) * v(1:lastv,1)**T
-*
- CALL DGER( LASTC, LASTV, -TAU, WORK, 1, V, INCV, C, LDC )
- END IF
- END IF
- RETURN
-*
-* End of DLARF
-*
- END