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*> \brief \b CHB2ST_KERNELS
*
* @generated from zhb2st_kernels.f, fortran z -> c, Sun Nov 6 19:34:06 2016
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
*> Download CHB2ST_KERNELS + dependencies
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/chb2st_kernels.f">
*> [TGZ]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/chb2st_kernels.f">
*> [ZIP]</a>
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/chb2st_kernels.f">
*> [TXT]</a>
*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE CHB2ST_KERNELS( UPLO, WANTZ, TTYPE,
* ST, ED, SWEEP, N, NB, IB,
* A, LDA, V, TAU, LDVT, WORK)
*
* IMPLICIT NONE
*
* .. Scalar Arguments ..
* CHARACTER UPLO
* LOGICAL WANTZ
* INTEGER TTYPE, ST, ED, SWEEP, N, NB, IB, LDA, LDVT
* ..
* .. Array Arguments ..
* COMPLEX A( LDA, * ), V( * ),
* TAU( * ), WORK( * )
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> CHB2ST_KERNELS is an internal routine used by the CHETRD_HB2ST
*> subroutine.
*> \endverbatim
*
* Arguments:
* ==========
*
*> @param[in] n
*> The order of the matrix A.
*>
*> @param[in] nb
*> The size of the band.
*>
*> @param[in, out] A
*> A pointer to the matrix A.
*>
*> @param[in] lda
*> The leading dimension of the matrix A.
*>
*> @param[out] V
*> COMPLEX array, dimension 2*n if eigenvalues only are
*> requested or to be queried for vectors.
*>
*> @param[out] TAU
*> COMPLEX array, dimension (2*n).
*> The scalar factors of the Householder reflectors are stored
*> in this array.
*>
*> @param[in] st
*> internal parameter for indices.
*>
*> @param[in] ed
*> internal parameter for indices.
*>
*> @param[in] sweep
*> internal parameter for indices.
*>
*> @param[in] Vblksiz
*> internal parameter for indices.
*>
*> @param[in] wantz
*> logical which indicate if Eigenvalue are requested or both
*> Eigenvalue/Eigenvectors.
*>
*> @param[in] work
*> Workspace of size nb.
*>
*> \par Further Details:
* =====================
*>
*> \verbatim
*>
*> Implemented by Azzam Haidar.
*>
*> All details are available on technical report, SC11, SC13 papers.
*>
*> Azzam Haidar, Hatem Ltaief, and Jack Dongarra.
*> Parallel reduction to condensed forms for symmetric eigenvalue problems
*> using aggregated fine-grained and memory-aware kernels. In Proceedings
*> of 2011 International Conference for High Performance Computing,
*> Networking, Storage and Analysis (SC '11), New York, NY, USA,
*> Article 8 , 11 pages.
*> http://doi.acm.org/10.1145/2063384.2063394
*>
*> A. Haidar, J. Kurzak, P. Luszczek, 2013.
*> An improved parallel singular value algorithm and its implementation
*> for multicore hardware, In Proceedings of 2013 International Conference
*> for High Performance Computing, Networking, Storage and Analysis (SC '13).
*> Denver, Colorado, USA, 2013.
*> Article 90, 12 pages.
*> http://doi.acm.org/10.1145/2503210.2503292
*>
*> A. Haidar, R. Solca, S. Tomov, T. Schulthess and J. Dongarra.
*> A novel hybrid CPU-GPU generalized eigensolver for electronic structure
*> calculations based on fine-grained memory aware tasks.
*> International Journal of High Performance Computing Applications.
*> Volume 28 Issue 2, Pages 196-209, May 2014.
*> http://hpc.sagepub.com/content/28/2/196
*>
*> \endverbatim
*>
* =====================================================================
SUBROUTINE CHB2ST_KERNELS( UPLO, WANTZ, TTYPE,
$ ST, ED, SWEEP, N, NB, IB,
$ A, LDA, V, TAU, LDVT, WORK)
*
IMPLICIT NONE
*
* -- LAPACK computational 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 2016
*
* .. Scalar Arguments ..
CHARACTER UPLO
LOGICAL WANTZ
INTEGER TTYPE, ST, ED, SWEEP, N, NB, IB, LDA, LDVT
* ..
* .. Array Arguments ..
COMPLEX A( LDA, * ), V( * ),
$ TAU( * ), WORK( * )
* ..
*
* =====================================================================
*
* .. Parameters ..
COMPLEX ZERO, ONE
PARAMETER ( ZERO = ( 0.0E+0, 0.0E+0 ),
$ ONE = ( 1.0E+0, 0.0E+0 ) )
* ..
* .. Local Scalars ..
LOGICAL UPPER
INTEGER I, J1, J2, LM, LN, VPOS, TAUPOS,
$ DPOS, OFDPOS, AJETER
COMPLEX CTMP
* ..
* .. External Subroutines ..
EXTERNAL CLARFG, CLARFX, CLARFY
* ..
* .. Intrinsic Functions ..
INTRINSIC CONJG, MOD
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
* ..
* ..
* .. Executable Statements ..
*
AJETER = IB + LDVT
UPPER = LSAME( UPLO, 'U' )
IF( UPPER ) THEN
DPOS = 2 * NB + 1
OFDPOS = 2 * NB
ELSE
DPOS = 1
OFDPOS = 2
ENDIF
*
* Upper case
*
IF( UPPER ) THEN
*
IF( WANTZ ) THEN
VPOS = MOD( SWEEP-1, 2 ) * N + ST
TAUPOS = MOD( SWEEP-1, 2 ) * N + ST
ELSE
VPOS = MOD( SWEEP-1, 2 ) * N + ST
TAUPOS = MOD( SWEEP-1, 2 ) * N + ST
ENDIF
GO TO ( 101, 102, 103 ) TTYPE
*
101 CONTINUE
LM = ED - ST + 1
*
V( VPOS ) = ONE
DO 10 I = 1, LM-1
V( VPOS+I ) = CONJG( A( OFDPOS-I, ST+I ) )
A( OFDPOS-I, ST+I ) = ZERO
10 CONTINUE
CTMP = CONJG( A( OFDPOS, ST ) )
CALL CLARFG( LM, CTMP, V( VPOS+1 ), 1,
$ TAU( TAUPOS ) )
A( OFDPOS, ST ) = CTMP
*
103 CONTINUE
LM = ED - ST + 1
CALL CLARFY( UPLO, LM, V( VPOS ), 1, CONJG( TAU( TAUPOS ) ),
$ A( DPOS, ST ), LDA-1, WORK)
GOTO 300
*
102 CONTINUE
J1 = ED+1
J2 = MIN( ED+NB, N )
LN = ED-ST+1
LM = J2-J1+1
IF( LM.GT.0) THEN
CALL CLARFX( 'Left', LN, LM, V( VPOS ),
$ CONJG( TAU( TAUPOS ) ), A( DPOS-NB, J1 ),
$ LDA-1, WORK)
*
IF( WANTZ ) THEN
VPOS = MOD( SWEEP-1, 2 ) * N + J1
TAUPOS = MOD( SWEEP-1, 2 ) * N + J1
ELSE
VPOS = MOD( SWEEP-1, 2 ) * N + J1
TAUPOS = MOD( SWEEP-1, 2 ) * N + J1
ENDIF
*
V( VPOS ) = ONE
DO 30 I = 1, LM-1
V( VPOS+I ) = CONJG( A( DPOS-NB-I, J1+I ) )
A( DPOS-NB-I, J1+I ) = ZERO
30 CONTINUE
CTMP = CONJG( A( DPOS-NB, J1 ) )
CALL CLARFG( LM, CTMP, V( VPOS+1 ), 1, TAU( TAUPOS ) )
A( DPOS-NB, J1 ) = CTMP
*
CALL CLARFX( 'Right', LN-1, LM, V( VPOS ),
$ TAU( TAUPOS ),
$ A( DPOS-NB+1, J1 ), LDA-1, WORK)
ENDIF
GOTO 300
*
* Lower case
*
ELSE
*
IF( WANTZ ) THEN
VPOS = MOD( SWEEP-1, 2 ) * N + ST
TAUPOS = MOD( SWEEP-1, 2 ) * N + ST
ELSE
VPOS = MOD( SWEEP-1, 2 ) * N + ST
TAUPOS = MOD( SWEEP-1, 2 ) * N + ST
ENDIF
GO TO ( 201, 202, 203 ) TTYPE
*
201 CONTINUE
LM = ED - ST + 1
*
V( VPOS ) = ONE
DO 20 I = 1, LM-1
V( VPOS+I ) = A( OFDPOS+I, ST-1 )
A( OFDPOS+I, ST-1 ) = ZERO
20 CONTINUE
CALL CLARFG( LM, A( OFDPOS, ST-1 ), V( VPOS+1 ), 1,
$ TAU( TAUPOS ) )
*
203 CONTINUE
LM = ED - ST + 1
*
CALL CLARFY( UPLO, LM, V( VPOS ), 1, CONJG( TAU( TAUPOS ) ),
$ A( DPOS, ST ), LDA-1, WORK)
GOTO 300
*
202 CONTINUE
J1 = ED+1
J2 = MIN( ED+NB, N )
LN = ED-ST+1
LM = J2-J1+1
*
IF( LM.GT.0) THEN
CALL CLARFX( 'Right', LM, LN, V( VPOS ),
$ TAU( TAUPOS ), A( DPOS+NB, ST ),
$ LDA-1, WORK)
*
IF( WANTZ ) THEN
VPOS = MOD( SWEEP-1, 2 ) * N + J1
TAUPOS = MOD( SWEEP-1, 2 ) * N + J1
ELSE
VPOS = MOD( SWEEP-1, 2 ) * N + J1
TAUPOS = MOD( SWEEP-1, 2 ) * N + J1
ENDIF
*
V( VPOS ) = ONE
DO 40 I = 1, LM-1
V( VPOS+I ) = A( DPOS+NB+I, ST )
A( DPOS+NB+I, ST ) = ZERO
40 CONTINUE
CALL CLARFG( LM, A( DPOS+NB, ST ), V( VPOS+1 ), 1,
$ TAU( TAUPOS ) )
*
CALL CLARFX( 'Left', LM, LN-1, V( VPOS ),
$ CONJG( TAU( TAUPOS ) ),
$ A( DPOS+NB-1, ST+1 ), LDA-1, WORK)
ENDIF
GOTO 300
ENDIF
300 CONTINUE
RETURN
*
* END OF CHB2ST_KERNELS
*
END
|
