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Handle corner cases of LWORK (Reference-LAPACK PR 942)

This commit is contained in:
Martin Kroeker 2023-12-23 19:37:03 +01:00 committed by GitHub
parent 5c11b2ff41
commit 0814491d96
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47 changed files with 783 additions and 533 deletions
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28
lapack-netlib/SRC/cgebrd.f
View File

@ -123,7 +123,8 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of the array WORK. LWORK >= max(1,M,N).
*> The length of the array WORK.
*> LWORK >= 1, if MIN(M,N) = 0, and LWORK >= MAX(M,N), otherwise.
*> For optimum performance LWORK >= (M+N)*NB, where NB
*> is the optimal blocksize.
*>
@ -148,7 +149,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexGEcomputational
*> \ingroup gebrd
*
*> \par Further Details:
* =====================
@ -225,8 +226,8 @@
* ..
* .. Local Scalars ..
LOGICAL LQUERY
INTEGER I, IINFO, J, LDWRKX, LDWRKY, LWKOPT, MINMN, NB,
$ NBMIN, NX, WS
INTEGER I, IINFO, J, LDWRKX, LDWRKY, LWKMIN, LWKOPT,
$ MINMN, NB, NBMIN, NX, WS
* ..
* .. External Subroutines ..
EXTERNAL CGEBD2, CGEMM, CLABRD, XERBLA
@ -236,16 +237,24 @@
* ..
* .. External Functions ..
INTEGER ILAENV
EXTERNAL ILAENV
REAL SROUNDUP_LWORK
EXTERNAL ILAENV, SROUNDUP_LWORK
* ..
* .. Executable Statements ..
*
* Test the input parameters
*
INFO = 0
MINMN = MIN( M, N )
IF( MINMN.EQ.0 ) THEN
LWKMIN = 1
LWKOPT = 1
ELSE
LWKMIN = MAX( M, N )
NB = MAX( 1, ILAENV( 1, 'CGEBRD', ' ', M, N, -1, -1 ) )
LWKOPT = ( M+N )*NB
WORK( 1 ) = REAL( LWKOPT )
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
LQUERY = ( LWORK.EQ.-1 )
IF( M.LT.0 ) THEN
INFO = -1
@ -253,7 +262,7 @@
INFO = -2
ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
INFO = -4
ELSE IF( LWORK.LT.MAX( 1, M, N ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -10
END IF
IF( INFO.LT.0 ) THEN
@ -265,7 +274,6 @@
*
* Quick return if possible
*
MINMN = MIN( M, N )
IF( MINMN.EQ.0 ) THEN
WORK( 1 ) = 1
RETURN
@ -284,7 +292,7 @@
* Determine when to switch from blocked to unblocked code.
*
IF( NX.LT.MINMN ) THEN
WS = ( M+N )*NB
WS = LWKOPT
IF( LWORK.LT.WS ) THEN
*
* Not enough work space for the optimal NB, consider using
@ -343,7 +351,7 @@
*
CALL CGEBD2( M-I+1, N-I+1, A( I, I ), LDA, D( I ), E( I ),
$ TAUQ( I ), TAUP( I ), WORK, IINFO )
WORK( 1 ) = WS
WORK( 1 ) = SROUNDUP_LWORK( WS )
RETURN
*
* End of CGEBRD

18
lapack-netlib/SRC/cgehrd.f
View File

@ -89,7 +89,7 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension (LWORK)
*> WORK is COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
@ -222,13 +222,19 @@
INFO = -8
END IF
*
NH = IHI - ILO + 1
IF( INFO.EQ.0 ) THEN
*
* Compute the workspace requirements
*
NB = MIN( NBMAX, ILAENV( 1, 'CGEHRD', ' ', N, ILO, IHI, -1 ) )
IF( NH.LE.1 ) THEN
LWKOPT = 1
ELSE
NB = MIN( NBMAX, ILAENV( 1, 'DGEHRD', ' ', N, ILO, IHI,
$ -1 ) )
LWKOPT = N*NB + TSIZE
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -249,7 +255,6 @@
*
* Quick return if possible
*
NH = IHI - ILO + 1
IF( NH.LE.1 ) THEN
WORK( 1 ) = 1
RETURN
@ -269,7 +274,7 @@
*
* Determine if workspace is large enough for blocked code
*
IF( LWORK.LT.N*NB+TSIZE ) THEN
IF( LWORK.LT.LWKOPT ) THEN
*
* Not enough workspace to use optimal NB: determine the
* minimum value of NB, and reduce NB or force use of
@ -345,7 +350,8 @@
* Use unblocked code to reduce the rest of the matrix
*
CALL CGEHD2( N, I, IHI, A, LDA, TAU, WORK, IINFO )
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
*
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

8
lapack-netlib/SRC/cgelq.f
View File

@ -98,7 +98,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= 1.
*> If LWORK = -1 or -2, then a workspace query is assumed. The routine
*> only calculates the sizes of the T and WORK arrays, returns these
*> values as the first entries of the T and WORK arrays, and no error
@ -295,9 +295,9 @@
T( 2 ) = MB
T( 3 ) = NB
IF( MINW ) THEN
WORK( 1 ) = SROUNDUP_LWORK(LWMIN)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
ELSE
WORK( 1 ) = SROUNDUP_LWORK(LWREQ)
WORK( 1 ) = SROUNDUP_LWORK( LWREQ )
END IF
END IF
IF( INFO.NE.0 ) THEN
@ -322,7 +322,7 @@
$ LWORK, INFO )
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(LWREQ)
WORK( 1 ) = SROUNDUP_LWORK( LWREQ )
*
RETURN
*

20
lapack-netlib/SRC/cgelqf.f
View File

@ -93,7 +93,8 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK >= max(1,M).
*> The dimension of the array WORK.
*> LWORK >= 1, if MIN(M,N) = 0, and LWORK >= M, otherwise.
*> For optimum performance LWORK >= M*NB, where NB is the
*> optimal blocksize.
*>
@ -175,9 +176,8 @@
* Test the input arguments
*
INFO = 0
K = MIN( M, N )
NB = ILAENV( 1, 'CGELQF', ' ', M, N, -1, -1 )
LWKOPT = M*NB
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LQUERY = ( LWORK.EQ.-1 )
IF( M.LT.0 ) THEN
INFO = -1
@ -185,19 +185,25 @@
INFO = -2
ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
INFO = -4
ELSE IF( LWORK.LT.MAX( 1, M ) .AND. .NOT.LQUERY ) THEN
INFO = -7
ELSE IF( .NOT.LQUERY ) THEN
IF( LWORK.LE.0 .OR. ( N.GT.0 .AND. LWORK.LT.MAX( 1, M ) ) )
$ INFO = -7
END IF
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CGELQF', -INFO )
RETURN
ELSE IF( LQUERY ) THEN
IF( K.EQ.0 ) THEN
LWKOPT = 1
ELSE
LWKOPT = M*NB
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
END IF
*
* Quick return if possible
*
K = MIN( M, N )
IF( K.EQ.0 ) THEN
WORK( 1 ) = 1
RETURN
@ -267,7 +273,7 @@
$ CALL CGELQ2( M-I+1, N-I+1, A( I, I ), LDA, TAU( I ), WORK,
$ IINFO )
*
WORK( 1 ) = SROUNDUP_LWORK(IWS)
WORK( 1 ) = SROUNDUP_LWORK( IWS )
RETURN
*
* End of CGELQF

27
lapack-netlib/SRC/cgemlq.f
View File

@ -111,12 +111,13 @@
*> \param[out] WORK
*> \verbatim
*> (workspace) COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the minimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= 1.
*> If LWORK = -1, then a workspace query is assumed. The routine
*> only calculates the size of the WORK array, returns this
*> value as WORK(1), and no error message related to WORK
@ -164,6 +165,8 @@
*> Further Details in CLAMSWLQ or CGEMLQT.
*> \endverbatim
*>
*> \ingroup gemlq
*>
* =====================================================================
SUBROUTINE CGEMLQ( SIDE, TRANS, M, N, K, A, LDA, T, TSIZE,
$ C, LDC, WORK, LWORK, INFO )
@ -185,11 +188,12 @@
* ..
* .. Local Scalars ..
LOGICAL LEFT, RIGHT, TRAN, NOTRAN, LQUERY
INTEGER MB, NB, LW, NBLCKS, MN
INTEGER MB, NB, LW, NBLCKS, MN, MINMNK, LWMIN
* ..
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
REAL SROUNDUP_LWORK
EXTERNAL LSAME, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CLAMSWLQ, CGEMLQT, XERBLA
@ -201,7 +205,7 @@
*
* Test the input arguments
*
LQUERY = LWORK.EQ.-1
LQUERY = ( LWORK.EQ.-1 )
NOTRAN = LSAME( TRANS, 'N' )
TRAN = LSAME( TRANS, 'C' )
LEFT = LSAME( SIDE, 'L' )
@ -216,6 +220,13 @@
LW = M * MB
MN = N
END IF
*
MINMNK = MIN( M, N, K )
IF( MINMNK.EQ.0 ) THEN
LWMIN = 1
ELSE
LWMIN = MAX( 1, LW )
END IF
*
IF( ( NB.GT.K ) .AND. ( MN.GT.K ) ) THEN
IF( MOD( MN - K, NB - K ) .EQ. 0 ) THEN
@ -244,12 +255,12 @@
INFO = -9
ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
INFO = -11
ELSE IF( ( LWORK.LT.MAX( 1, LW ) ) .AND. ( .NOT.LQUERY ) ) THEN
ELSE IF( ( LWORK.LT.LWMIN ) .AND. ( .NOT.LQUERY ) ) THEN
INFO = -13
END IF
*
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = REAL( LW )
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
*
IF( INFO.NE.0 ) THEN
@ -261,7 +272,7 @@
*
* Quick return if possible
*
IF( MIN( M, N, K ).EQ.0 ) THEN
IF( MINMNK.EQ.0 ) THEN
RETURN
END IF
*
@ -274,7 +285,7 @@
$ MB, C, LDC, WORK, LWORK, INFO )
END IF
*
WORK( 1 ) = REAL( LW )
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
*
RETURN
*

25
lapack-netlib/SRC/cgemqr.f
View File

@ -112,12 +112,13 @@
*> \param[out] WORK
*> \verbatim
*> (workspace) COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the minimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= 1.
*> If LWORK = -1, then a workspace query is assumed. The routine
*> only calculates the size of the WORK array, returns this
*> value as WORK(1), and no error message related to WORK
@ -166,6 +167,8 @@
*>
*> \endverbatim
*>
*> \ingroup gemqr
*>
* =====================================================================
SUBROUTINE CGEMQR( SIDE, TRANS, M, N, K, A, LDA, T, TSIZE,
$ C, LDC, WORK, LWORK, INFO )
@ -187,11 +190,12 @@
* ..
* .. Local Scalars ..
LOGICAL LEFT, RIGHT, TRAN, NOTRAN, LQUERY
INTEGER MB, NB, LW, NBLCKS, MN
INTEGER MB, NB, LW, NBLCKS, MN, MINMNK, LWMIN
* ..
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
REAL SROUNDUP_LWORK
EXTERNAL LSAME, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CGEMQRT, CLAMTSQR, XERBLA
@ -203,7 +207,7 @@
*
* Test the input arguments
*
LQUERY = LWORK.EQ.-1
LQUERY = ( LWORK.EQ.-1 )
NOTRAN = LSAME( TRANS, 'N' )
TRAN = LSAME( TRANS, 'C' )
LEFT = LSAME( SIDE, 'L' )
@ -218,6 +222,13 @@
LW = MB * NB
MN = N
END IF
*
MINMNK = MIN( M, N, K )
IF( MINMNK.EQ.0 ) THEN
LWMIN = 1
ELSE
LWMIN = MAX( 1, LW )
END IF
*
IF( ( MB.GT.K ) .AND. ( MN.GT.K ) ) THEN
IF( MOD( MN - K, MB - K ).EQ.0 ) THEN
@ -251,7 +262,7 @@
END IF
*
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = LW
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
*
IF( INFO.NE.0 ) THEN
@ -263,7 +274,7 @@
*
* Quick return if possible
*
IF( MIN( M, N, K ).EQ.0 ) THEN
IF( MINMNK.EQ.0 ) THEN
RETURN
END IF
*
@ -276,7 +287,7 @@
$ NB, C, LDC, WORK, LWORK, INFO )
END IF
*
WORK( 1 ) = LW
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
*
RETURN
*

12
lapack-netlib/SRC/cgeqlf.f
View File

@ -88,7 +88,8 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK >= max(1,N).
*> The dimension of the array WORK.
*> LWORK >= 1, if MIN(M,N) = 0, and LWORK >= N, otherwise.
*> For optimum performance LWORK >= N*NB, where NB is
*> the optimal blocksize.
*>
@ -187,10 +188,11 @@
NB = ILAENV( 1, 'CGEQLF', ' ', M, N, -1, -1 )
LWKOPT = N*NB
END IF
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
IF( LWORK.LT.MAX( 1, N ) .AND. .NOT.LQUERY ) THEN
INFO = -7
IF( .NOT.LQUERY ) THEN
IF( LWORK.LE.0 .OR. ( M.GT.0 .AND. LWORK.LT.MAX( 1, N ) ) )
$ INFO = -7
END IF
END IF
*
@ -277,7 +279,7 @@
IF( MU.GT.0 .AND. NU.GT.0 )
$ CALL CGEQL2( MU, NU, A, LDA, TAU, WORK, IINFO )
*
WORK( 1 ) = SROUNDUP_LWORK(IWS)
WORK( 1 ) = SROUNDUP_LWORK( IWS )
RETURN
*
* End of CGEQLF

24
lapack-netlib/SRC/cgeqp3rk.f
View File

@ -428,7 +428,8 @@
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*. LWORK >= N+NRHS-1
*> LWORK >= 1, if MIN(M,N) = 0, and
*> LWORK >= N+NRHS-1, otherwise.
*> For optimal performance LWORK >= NB*( N+NRHS+1 ),
*> where NB is the optimal block size for CGEQP3RK returned
*> by ILAENV. Minimal block size MINNB=2.
@ -627,8 +628,9 @@
* .. External Functions ..
LOGICAL SISNAN
INTEGER ISAMAX, ILAENV
REAL SLAMCH, SCNRM2
EXTERNAL SISNAN, SLAMCH, SCNRM2, ISAMAX, ILAENV
REAL SLAMCH, SCNRM2, SROUNDUP_LWORK
EXTERNAL SISNAN, SLAMCH, SCNRM2, ISAMAX, ILAENV,
$ SROUNDUP_LWORK
* ..
* .. Intrinsic Functions ..
INTRINSIC CMPLX, MAX, MIN
@ -703,7 +705,7 @@
*
LWKOPT = 2*N + NB*( N+NRHS+1 )
END IF
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
IF( ( LWORK.LT.IWS ) .AND. .NOT.LQUERY ) THEN
INFO = -15
@ -726,7 +728,7 @@
K = 0
MAXC2NRMK = ZERO
RELMAXC2NRMK = ZERO
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
END IF
*
@ -778,7 +780,7 @@
*
* Array TAU is not set and contains undefined elements.
*
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
END IF
*
@ -797,7 +799,7 @@
TAU( J ) = CZERO
END DO
*
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
*
END IF
@ -828,7 +830,7 @@
DO J = 1, MINMN
TAU( J ) = CZERO
END DO
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
END IF
*
@ -873,7 +875,7 @@
TAU( J ) = CZERO
END DO
*
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
END IF
*
@ -991,7 +993,7 @@
*
* Return from the routine.
*
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*
@ -1082,7 +1084,7 @@
*
END IF
*
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

23
lapack-netlib/SRC/cgeqr.f
View File

@ -99,7 +99,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= 1.
*> If LWORK = -1 or -2, then a workspace query is assumed. The routine
*> only calculates the sizes of the T and WORK arrays, returns these
*> values as the first entries of the T and WORK arrays, and no error
@ -168,6 +168,8 @@
*>
*> \endverbatim
*>
*> \ingroup geqr
*>
* =====================================================================
SUBROUTINE CGEQR( M, N, A, LDA, T, TSIZE, WORK, LWORK,
$ INFO )
@ -188,11 +190,12 @@
* ..
* .. Local Scalars ..
LOGICAL LQUERY, LMINWS, MINT, MINW
INTEGER MB, NB, MINTSZ, NBLCKS
INTEGER MB, NB, MINTSZ, NBLCKS, LWMIN, LWREQ
* ..
* .. External Functions ..
LOGICAL LSAME
EXTERNAL LSAME
REAL SROUNDUP_LWORK
EXTERNAL LSAME, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CLATSQR, CGEQRT, XERBLA
@ -244,8 +247,10 @@
*
* Determine if the workspace size satisfies minimal size
*
LWMIN = MAX( 1, N )
LWREQ = MAX( 1, N*NB )
LMINWS = .FALSE.
IF( ( TSIZE.LT.MAX( 1, NB*N*NBLCKS + 5 ) .OR. LWORK.LT.NB*N )
IF( ( TSIZE.LT.MAX( 1, NB*N*NBLCKS + 5 ) .OR. LWORK.LT.LWREQ )
$ .AND. ( LWORK.GE.N ) .AND. ( TSIZE.GE.MINTSZ )
$ .AND. ( .NOT.LQUERY ) ) THEN
IF( TSIZE.LT.MAX( 1, NB*N*NBLCKS + 5 ) ) THEN
@ -253,7 +258,7 @@
NB = 1
MB = M
END IF
IF( LWORK.LT.NB*N ) THEN
IF( LWORK.LT.LWREQ ) THEN
LMINWS = .TRUE.
NB = 1
END IF
@ -268,7 +273,7 @@
ELSE IF( TSIZE.LT.MAX( 1, NB*N*NBLCKS + 5 )
$ .AND. ( .NOT.LQUERY ) .AND. ( .NOT.LMINWS ) ) THEN
INFO = -6
ELSE IF( ( LWORK.LT.MAX( 1, N*NB ) ) .AND. ( .NOT.LQUERY )
ELSE IF( ( LWORK.LT.LWREQ ) .AND. ( .NOT.LQUERY )
$ .AND. ( .NOT.LMINWS ) ) THEN
INFO = -8
END IF
@ -282,9 +287,9 @@
T( 2 ) = MB
T( 3 ) = NB
IF( MINW ) THEN
WORK( 1 ) = MAX( 1, N )
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
ELSE
WORK( 1 ) = MAX( 1, NB*N )
WORK( 1 ) = SROUNDUP_LWORK( LWREQ )
END IF
END IF
IF( INFO.NE.0 ) THEN
@ -309,7 +314,7 @@
$ LWORK, INFO )
END IF
*
WORK( 1 ) = MAX( 1, NB*N )
WORK( 1 ) = SROUNDUP_LWORK( LWREQ )
*
RETURN
*

24
lapack-netlib/SRC/cgeqrfp.f
View File

@ -97,7 +97,8 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK >= max(1,N).
*> The dimension of the array WORK.
*> LWORK >= 1, if MIN(M,N) = 0, and LWORK >= N, otherwise.
*> For optimum performance LWORK >= N*NB, where NB is
*> the optimal blocksize.
*>
@ -162,8 +163,8 @@
*
* .. Local Scalars ..
LOGICAL LQUERY
INTEGER I, IB, IINFO, IWS, K, LDWORK, LWKOPT, NB,
$ NBMIN, NX
INTEGER I, IB, IINFO, IWS, K, LDWORK, LWKMIN, LWKOPT,
$ NB, NBMIN, NX
* ..
* .. External Subroutines ..
EXTERNAL CGEQR2P, CLARFB, CLARFT, XERBLA
@ -182,8 +183,16 @@
*
INFO = 0
NB = ILAENV( 1, 'CGEQRF', ' ', M, N, -1, -1 )
K = MIN( M, N )
IF( K.EQ.0 ) THEN
LWKMIN = 1
LWKOPT = 1
ELSE
LWKMIN = N
LWKOPT = N*NB
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
LQUERY = ( LWORK.EQ.-1 )
IF( M.LT.0 ) THEN
INFO = -1
@ -191,7 +200,7 @@
INFO = -2
ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
INFO = -4
ELSE IF( LWORK.LT.MAX( 1, N ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -7
END IF
IF( INFO.NE.0 ) THEN
@ -203,7 +212,6 @@
*
* Quick return if possible
*
K = MIN( M, N )
IF( K.EQ.0 ) THEN
WORK( 1 ) = 1
RETURN
@ -211,7 +219,7 @@
*
NBMIN = 2
NX = 0
IWS = N
IWS = LWKMIN
IF( NB.GT.1 .AND. NB.LT.K ) THEN
*
* Determine when to cross over from blocked to unblocked code.
@ -273,7 +281,7 @@
$ CALL CGEQR2P( M-I+1, N-I+1, A( I, I ), LDA, TAU( I ), WORK,
$ IINFO )
*
WORK( 1 ) = SROUNDUP_LWORK(IWS)
WORK( 1 ) = SROUNDUP_LWORK( IWS )
RETURN
*
* End of CGEQRFP

14
lapack-netlib/SRC/cgesvdx.f
View File

@ -208,7 +208,7 @@
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK;
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
@ -261,7 +261,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexGEsing
*> \ingroup gesvdx
*
* =====================================================================
SUBROUTINE CGESVDX( JOBU, JOBVT, RANGE, M, N, A, LDA, VL, VU,
@ -312,8 +312,8 @@
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
REAL SLAMCH, CLANGE
EXTERNAL LSAME, ILAENV, SLAMCH, CLANGE
REAL SLAMCH, CLANGE, SROUNDUP_LWORK
EXTERNAL LSAME, ILAENV, SLAMCH, CLANGE, SROUNDUP_LWORK
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, MIN, SQRT
@ -448,7 +448,7 @@
END IF
END IF
MAXWRK = MAX( MAXWRK, MINWRK )
WORK( 1 ) = CMPLX( REAL( MAXWRK ), ZERO )
WORK( 1 ) = SROUNDUP_LWORK( MAXWRK )
*
IF( LWORK.LT.MINWRK .AND. .NOT.LQUERY ) THEN
INFO = -19
@ -464,7 +464,7 @@
*
* Quick return if possible
*
IF( M.EQ.0 .OR. N.EQ.0 ) THEN
IF( MINMN.EQ.0 ) THEN
RETURN
END IF
*
@ -846,7 +846,7 @@
*
* Return optimal workspace in WORK(1)
*
WORK( 1 ) = CMPLX( REAL( MAXWRK ), ZERO )
WORK( 1 ) = SROUNDUP_LWORK( MAXWRK )
*
RETURN
*

52
lapack-netlib/SRC/cgesvj.f
View File

@ -208,15 +208,17 @@
*> \verbatim
*> CWORK is COMPLEX array, dimension (max(1,LWORK))
*> Used as workspace.
*> If on entry LWORK = -1, then a workspace query is assumed and
*> no computation is done; CWORK(1) is set to the minial (and optimal)
*> length of CWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER.
*> Length of CWORK, LWORK >= M+N.
*> Length of CWORK.
*> LWORK >= 1, if MIN(M,N) = 0, and LWORK >= M+N, otherwise.
*>
*> If on entry LWORK = -1, then a workspace query is assumed and
*> no computation is done; CWORK(1) is set to the minial (and optimal)
*> length of CWORK.
*> \endverbatim
*>
*> \param[in,out] RWORK
@ -247,15 +249,17 @@
*> RWORK(6) = the largest absolute value over all sines of the
*> Jacobi rotation angles in the last sweep. It can be
*> useful for a post festum analysis.
*> If on entry LRWORK = -1, then a workspace query is assumed and
*> no computation is done; RWORK(1) is set to the minial (and optimal)
*> length of RWORK.
*> \endverbatim
*>
*> \param[in] LRWORK
*> \verbatim
*> LRWORK is INTEGER
*> Length of RWORK, LRWORK >= MAX(6,N).
*> Length of RWORK.
*> LRWORK >= 1, if MIN(M,N) = 0, and LRWORK >= MAX(6,N), otherwise
*>
*> If on entry LRWORK = -1, then a workspace query is assumed and
*> no computation is done; RWORK(1) is set to the minial (and optimal)
*> length of RWORK.
*> \endverbatim
*>
*> \param[out] INFO
@ -276,7 +280,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexGEcomputational
*> \ingroup gesvj
*
*> \par Further Details:
* =====================
@ -381,7 +385,8 @@
$ SKL, SFMIN, SMALL, SN, T, TEMP1, THETA, THSIGN, TOL
INTEGER BLSKIP, EMPTSW, i, ibr, IERR, igl, IJBLSK, ir1,
$ ISWROT, jbc, jgl, KBL, LKAHEAD, MVL, N2, N34,
$ N4, NBL, NOTROT, p, PSKIPPED, q, ROWSKIP, SWBAND
$ N4, NBL, NOTROT, p, PSKIPPED, q, ROWSKIP, SWBAND,
$ MINMN, LWMIN, LRWMIN
LOGICAL APPLV, GOSCALE, LOWER, LQUERY, LSVEC, NOSCALE, ROTOK,
$ RSVEC, UCTOL, UPPER
* ..
@ -398,8 +403,8 @@
INTEGER ISAMAX
EXTERNAL ISAMAX
* from LAPACK
REAL SLAMCH
EXTERNAL SLAMCH
REAL SLAMCH, SROUNDUP_LWORK
EXTERNAL SLAMCH, SROUNDUP_LWORK
LOGICAL LSAME
EXTERNAL LSAME
* ..
@ -422,7 +427,16 @@
UPPER = LSAME( JOBA, 'U' )
LOWER = LSAME( JOBA, 'L' )
*
LQUERY = ( LWORK .EQ. -1 ) .OR. ( LRWORK .EQ. -1 )
MINMN = MIN( M, N )
IF( MINMN.EQ.0 ) THEN
LWMIN = 1
LRWMIN = 1
ELSE
LWMIN = M + N
LRWMIN = MAX( 6, N )
END IF
*
LQUERY = ( LWORK.EQ.-1 ) .OR. ( LRWORK.EQ.-1 )
IF( .NOT.( UPPER .OR. LOWER .OR. LSAME( JOBA, 'G' ) ) ) THEN
INFO = -1
ELSE IF( .NOT.( LSVEC .OR. UCTOL .OR. LSAME( JOBU, 'N' ) ) ) THEN
@ -442,9 +456,9 @@
INFO = -11
ELSE IF( UCTOL .AND. ( RWORK( 1 ).LE.ONE ) ) THEN
INFO = -12
ELSE IF( LWORK.LT.( M+N ) .AND. ( .NOT.LQUERY ) ) THEN
ELSE IF( LWORK.LT.LWMIN .AND. ( .NOT.LQUERY ) ) THEN
INFO = -13
ELSE IF( LRWORK.LT.MAX( N, 6 ) .AND. ( .NOT.LQUERY ) ) THEN
ELSE IF( LRWORK.LT.LRWMIN .AND. ( .NOT.LQUERY ) ) THEN
INFO = -15
ELSE
INFO = 0
@ -454,15 +468,15 @@
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CGESVJ', -INFO )
RETURN
ELSE IF ( LQUERY ) THEN
CWORK(1) = M + N
RWORK(1) = MAX( N, 6 )
ELSE IF( LQUERY ) THEN
CWORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RWORK( 1 ) = SROUNDUP_LWORK( LRWMIN )
RETURN
END IF
*
* #:) Quick return for void matrix
*
IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) )RETURN
IF( MINMN.EQ.0 ) RETURN
*
* Set numerical parameters
* The stopping criterion for Jacobi rotations is

6
lapack-netlib/SRC/cgetri.f
View File

@ -153,8 +153,8 @@
*
INFO = 0
NB = ILAENV( 1, 'CGETRI', ' ', N, -1, -1, -1 )
LWKOPT = N*NB
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LWKOPT = MAX( 1, N*NB )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
LQUERY = ( LWORK.EQ.-1 )
IF( N.LT.0 ) THEN
INFO = -1
@ -252,7 +252,7 @@
$ CALL CSWAP( N, A( 1, J ), 1, A( 1, JP ), 1 )
60 CONTINUE
*
WORK( 1 ) = SROUNDUP_LWORK(IWS)
WORK( 1 ) = SROUNDUP_LWORK( IWS )
RETURN
*
* End of CGETRI

7
lapack-netlib/SRC/cgetsls.f
View File

@ -127,7 +127,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= 1.
*> If LWORK = -1 or -2, then a workspace query is assumed.
*> If LWORK = -1, the routine calculates optimal size of WORK for the
*> optimal performance and returns this value in WORK(1).
@ -229,7 +229,10 @@
*
* Determine the optimum and minimum LWORK
*
IF( M.GE.N ) THEN
IF( MIN( M, N, NRHS ).EQ.0 ) THEN
WSIZEO = 1
WSIZEM = 1
ELSE IF ( M.GE.N ) THEN
CALL CGEQR( M, N, A, LDA, TQ, -1, WORKQ, -1, INFO2 )
TSZO = INT( TQ( 1 ) )
LWO = INT( WORKQ( 1 ) )

23
lapack-netlib/SRC/cgetsqrhrt.f
View File

@ -131,13 +131,15 @@
*> \param[in] LWORK
*> \verbatim
*> The dimension of the array WORK.
*> LWORK >= MAX( LWT + LW1, MAX( LWT+N*N+LW2, LWT+N*N+N ) ),
*> If MIN(M,N) = 0, LWORK >= 1, else
*> LWORK >= MAX( 1, LWT + LW1, MAX( LWT+N*N+LW2, LWT+N*N+N ) ),
*> where
*> NUM_ALL_ROW_BLOCKS = CEIL((M-N)/(MB1-N)),
*> NB1LOCAL = MIN(NB1,N).
*> LWT = NUM_ALL_ROW_BLOCKS * N * NB1LOCAL,
*> LW1 = NB1LOCAL * N,
*> LW2 = NB1LOCAL * MAX( NB1LOCAL, ( N - NB1LOCAL ) ),
*> LW2 = NB1LOCAL * MAX( NB1LOCAL, ( N - NB1LOCAL ) ).
*>
*> If LWORK = -1, then a workspace query is assumed.
*> The routine only calculates the optimal size of the WORK
*> array, returns this value as the first entry of the WORK
@ -160,7 +162,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup comlpexOTHERcomputational
*> \ingroup getsqrhrt
*
*> \par Contributors:
* ==================
@ -200,6 +202,10 @@
INTEGER I, IINFO, J, LW1, LW2, LWT, LDWT, LWORKOPT,
$ NB1LOCAL, NB2LOCAL, NUM_ALL_ROW_BLOCKS
* ..
* .. External Functions ..
REAL SROUNDUP_LWORK
EXTERNAL SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CCOPY, CLATSQR, CUNGTSQR_ROW, CUNHR_COL,
$ XERBLA
@ -212,7 +218,7 @@
* Test the input arguments
*
INFO = 0
LQUERY = LWORK.EQ.-1
LQUERY = ( LWORK.EQ.-1 )
IF( M.LT.0 ) THEN
INFO = -1
ELSE IF( N.LT.0 .OR. M.LT.N ) THEN
@ -263,8 +269,9 @@
LW2 = NB1LOCAL * MAX( NB1LOCAL, ( N - NB1LOCAL ) )
*
LWORKOPT = MAX( LWT + LW1, MAX( LWT+N*N+LW2, LWT+N*N+N ) )
LWORKOPT = MAX( 1, LWORKOPT )
*
IF( ( LWORK.LT.MAX( 1, LWORKOPT ) ).AND.(.NOT.LQUERY) ) THEN
IF( LWORK.LT.LWORKOPT .AND. .NOT.LQUERY ) THEN
INFO = -11
END IF
*
@ -277,14 +284,14 @@
CALL XERBLA( 'CGETSQRHRT', -INFO )
RETURN
ELSE IF ( LQUERY ) THEN
WORK( 1 ) = CMPLX( LWORKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWORKOPT )
RETURN
END IF
*
* Quick return if possible
*
IF( MIN( M, N ).EQ.0 ) THEN
WORK( 1 ) = CMPLX( LWORKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWORKOPT )
RETURN
END IF
*
@ -341,7 +348,7 @@
END IF
END DO
*
WORK( 1 ) = CMPLX( LWORKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWORKOPT )
RETURN
*
* End of CGETSQRHRT

40
lapack-netlib/SRC/cgges3.f
View File

@ -215,7 +215,8 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= MAX(1,2*N).
*> For good performance, LWORK must generally be larger.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@ -260,7 +261,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexGEeigen
*> \ingroup gges3
*
* =====================================================================
SUBROUTINE CGGES3( JOBVSL, JOBVSR, SORT, SELCTG, N, A, LDA, B,
@ -300,7 +301,8 @@
LOGICAL CURSL, ILASCL, ILBSCL, ILVSL, ILVSR, LASTSL,
$ LQUERY, WANTST
INTEGER I, ICOLS, IERR, IHI, IJOBVL, IJOBVR, ILEFT,
$ ILO, IRIGHT, IROWS, IRWRK, ITAU, IWRK, LWKOPT
$ ILO, IRIGHT, IROWS, IRWRK, ITAU, IWRK, LWKOPT,
$ LWKMIN
REAL ANRM, ANRMTO, BIGNUM, BNRM, BNRMTO, EPS, PVSL,
$ PVSR, SMLNUM
* ..
@ -310,13 +312,12 @@
* ..
* .. External Subroutines ..
EXTERNAL CGEQRF, CGGBAK, CGGBAL, CGGHD3, CLAQZ0, CLACPY,
$ CLASCL, CLASET, CTGSEN, CUNGQR, CUNMQR, SLABAD,
$ XERBLA
$ CLASCL, CLASET, CTGSEN, CUNGQR, CUNMQR, XERBLA
* ..
* .. External Functions ..
LOGICAL LSAME
REAL CLANGE, SLAMCH
EXTERNAL LSAME, CLANGE, SLAMCH
REAL CLANGE, SLAMCH, SROUNDUP_LWORK
EXTERNAL LSAME, CLANGE, SLAMCH, SROUNDUP_LWORK
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, SQRT
@ -353,6 +354,8 @@
*
INFO = 0
LQUERY = ( LWORK.EQ.-1 )
LWKMIN = MAX( 1, 2*N )
*
IF( IJOBVL.LE.0 ) THEN
INFO = -1
ELSE IF( IJOBVR.LE.0 ) THEN
@ -369,7 +372,7 @@
INFO = -14
ELSE IF( LDVSR.LT.1 .OR. ( ILVSR .AND. LDVSR.LT.N ) ) THEN
INFO = -16
ELSE IF( LWORK.LT.MAX( 1, 2*N ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -18
END IF
*
@ -377,29 +380,33 @@
*
IF( INFO.EQ.0 ) THEN
CALL CGEQRF( N, N, B, LDB, WORK, WORK, -1, IERR )
LWKOPT = MAX( 1, N + INT ( WORK( 1 ) ) )
LWKOPT = MAX( LWKMIN, N + INT( WORK( 1 ) ) )
CALL CUNMQR( 'L', 'C', N, N, N, B, LDB, WORK, A, LDA, WORK,
$ -1, IERR )
LWKOPT = MAX( LWKOPT, N + INT ( WORK( 1 ) ) )
LWKOPT = MAX( LWKOPT, N + INT( WORK( 1 ) ) )
IF( ILVSL ) THEN
CALL CUNGQR( N, N, N, VSL, LDVSL, WORK, WORK, -1,
$ IERR )
LWKOPT = MAX( LWKOPT, N + INT ( WORK( 1 ) ) )
LWKOPT = MAX( LWKOPT, N + INT( WORK( 1 ) ) )
END IF
CALL CGGHD3( JOBVSL, JOBVSR, N, 1, N, A, LDA, B, LDB, VSL,
$ LDVSL, VSR, LDVSR, WORK, -1, IERR )
LWKOPT = MAX( LWKOPT, N + INT ( WORK( 1 ) ) )
LWKOPT = MAX( LWKOPT, N + INT( WORK( 1 ) ) )
CALL CLAQZ0( 'S', JOBVSL, JOBVSR, N, 1, N, A, LDA, B, LDB,
$ ALPHA, BETA, VSL, LDVSL, VSR, LDVSR, WORK, -1,
$ RWORK, 0, IERR )
LWKOPT = MAX( LWKOPT, INT ( WORK( 1 ) ) )
LWKOPT = MAX( LWKOPT, INT( WORK( 1 ) ) )
IF( WANTST ) THEN
CALL CTGSEN( 0, ILVSL, ILVSR, BWORK, N, A, LDA, B, LDB,
$ ALPHA, BETA, VSL, LDVSL, VSR, LDVSR, SDIM,
$ PVSL, PVSR, DIF, WORK, -1, IDUM, 1, IERR )
LWKOPT = MAX( LWKOPT, INT ( WORK( 1 ) ) )
LWKOPT = MAX( LWKOPT, INT( WORK( 1 ) ) )
END IF
IF( N.EQ.0 ) THEN
WORK( 1 ) = 1
ELSE
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
WORK( 1 ) = CMPLX( LWKOPT )
END IF
*
@ -422,7 +429,6 @@
EPS = SLAMCH( 'P' )
SMLNUM = SLAMCH( 'S' )
BIGNUM = ONE / SMLNUM
CALL SLABAD( SMLNUM, BIGNUM )
SMLNUM = SQRT( SMLNUM ) / EPS
BIGNUM = ONE / SMLNUM
*
@ -585,7 +591,7 @@
*
30 CONTINUE
*
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

28
lapack-netlib/SRC/cggev3.f
View File

@ -174,7 +174,8 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= MAX(1,2*N).
*> For good performance, LWORK must generally be larger.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@ -208,7 +209,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexGEeigen
*> \ingroup ggev3
*
* =====================================================================
SUBROUTINE CGGEV3( JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHA, BETA,
@ -243,7 +244,7 @@
CHARACTER CHTEMP
INTEGER ICOLS, IERR, IHI, IJOBVL, IJOBVR, ILEFT, ILO,
$ IN, IRIGHT, IROWS, IRWRK, ITAU, IWRK, JC, JR,
$ LWKOPT
$ LWKOPT, LWKMIN
REAL ANRM, ANRMTO, BIGNUM, BNRM, BNRMTO, EPS,
$ SMLNUM, TEMP
COMPLEX X
@ -253,13 +254,12 @@
* ..
* .. External Subroutines ..
EXTERNAL CGEQRF, CGGBAK, CGGBAL, CGGHD3, CLAQZ0, CLACPY,
$ CLASCL, CLASET, CTGEVC, CUNGQR, CUNMQR, SLABAD,
$ XERBLA
$ CLASCL, CLASET, CTGEVC, CUNGQR, CUNMQR, XERBLA
* ..
* .. External Functions ..
LOGICAL LSAME
REAL CLANGE, SLAMCH
EXTERNAL LSAME, CLANGE, SLAMCH
REAL CLANGE, SLAMCH, SROUNDUP_LWORK
EXTERNAL LSAME, CLANGE, SLAMCH, SROUNDUP_LWORK
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, AIMAG, MAX, REAL, SQRT
@ -301,6 +301,7 @@
*
INFO = 0
LQUERY = ( LWORK.EQ.-1 )
LWKMIN = MAX( 1, 2*N )
IF( IJOBVL.LE.0 ) THEN
INFO = -1
ELSE IF( IJOBVR.LE.0 ) THEN
@ -315,7 +316,7 @@
INFO = -11
ELSE IF( LDVR.LT.1 .OR. ( ILVR .AND. LDVR.LT.N ) ) THEN
INFO = -13
ELSE IF( LWORK.LT.MAX( 1, 2*N ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -15
END IF
*
@ -323,7 +324,7 @@
*
IF( INFO.EQ.0 ) THEN
CALL CGEQRF( N, N, B, LDB, WORK, WORK, -1, IERR )
LWKOPT = MAX( N, N+INT( WORK( 1 ) ) )
LWKOPT = MAX( LWKMIN, N+INT( WORK( 1 ) ) )
CALL CUNMQR( 'L', 'C', N, N, N, B, LDB, WORK, A, LDA, WORK,
$ -1, IERR )
LWKOPT = MAX( LWKOPT, N+INT( WORK( 1 ) ) )
@ -348,7 +349,11 @@
$ RWORK, 0, IERR )
LWKOPT = MAX( LWKOPT, N+INT( WORK( 1 ) ) )
END IF
WORK( 1 ) = CMPLX( LWKOPT )
IF( N.EQ.0 ) THEN
WORK( 1 ) = 1
ELSE
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
END IF
*
IF( INFO.NE.0 ) THEN
@ -368,7 +373,6 @@
EPS = SLAMCH( 'E' )*SLAMCH( 'B' )
SMLNUM = SLAMCH( 'S' )
BIGNUM = ONE / SMLNUM
CALL SLABAD( SMLNUM, BIGNUM )
SMLNUM = SQRT( SMLNUM ) / EPS
BIGNUM = ONE / SMLNUM
*
@ -549,7 +553,7 @@
IF( ILBSCL )
$ CALL CLASCL( 'G', 0, 0, BNRMTO, BNRM, N, 1, BETA, N, IERR )
*
WORK( 1 ) = CMPLX( LWKOPT )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
*
* End of CGGEV3

20
lapack-netlib/SRC/cgghd3.f
View File

@ -180,7 +180,7 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension (LWORK)
*> WORK is COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
@ -212,7 +212,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexOTHERcomputational
*> \ingroup gghd3
*
*> \par Further Details:
* =====================
@ -265,7 +265,8 @@
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
EXTERNAL ILAENV, LSAME
REAL SROUNDUP_LWORK
EXTERNAL ILAENV, LSAME, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CGGHRD, CLARTG, CLASET, CUNM22, CROT, CGEMM,
@ -280,8 +281,13 @@
*
INFO = 0
NB = ILAENV( 1, 'CGGHD3', ' ', N, ILO, IHI, -1 )
LWKOPT = MAX( 6*N*NB, 1 )
WORK( 1 ) = CMPLX( LWKOPT )
NH = IHI - ILO + 1
IF( NH.LE.1 ) THEN
LWKOPT = 1
ELSE
LWKOPT = 6*N*NB
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
INITQ = LSAME( COMPQ, 'I' )
WANTQ = INITQ .OR. LSAME( COMPQ, 'V' )
INITZ = LSAME( COMPZ, 'I' )
@ -330,7 +336,6 @@
*
* Quick return if possible
*
NH = IHI - ILO + 1
IF( NH.LE.1 ) THEN
WORK( 1 ) = CONE
RETURN
@ -888,7 +893,8 @@
IF ( JCOL.LT.IHI )
$ CALL CGGHRD( COMPQ2, COMPZ2, N, JCOL, IHI, A, LDA, B, LDB, Q,
$ LDQ, Z, LDZ, IERR )
WORK( 1 ) = CMPLX( LWKOPT )
*
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

6
lapack-netlib/SRC/cggqrf.f
View File

@ -251,8 +251,8 @@
NB2 = ILAENV( 1, 'CGERQF', ' ', N, P, -1, -1 )
NB3 = ILAENV( 1, 'CUNMQR', ' ', N, M, P, -1 )
NB = MAX( NB1, NB2, NB3 )
LWKOPT = MAX( N, M, P)*NB
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LWKOPT = MAX( 1, MAX( N, M, P )*NB )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
LQUERY = ( LWORK.EQ.-1 )
IF( N.LT.0 ) THEN
INFO = -1
@ -288,7 +288,7 @@
* RQ factorization of N-by-P matrix B: B = T*Z.
*
CALL CGERQF( N, P, B, LDB, TAUB, WORK, LWORK, INFO )
WORK( 1 ) = MAX( LOPT, INT( WORK( 1 ) ) )
WORK( 1 ) = SROUNDUP_LWORK( MAX( LOPT, INT( WORK( 1 ) ) ) )
*
RETURN
*

6
lapack-netlib/SRC/cggrqf.f
View File

@ -250,8 +250,8 @@
NB2 = ILAENV( 1, 'CGEQRF', ' ', P, N, -1, -1 )
NB3 = ILAENV( 1, 'CUNMRQ', ' ', M, N, P, -1 )
NB = MAX( NB1, NB2, NB3 )
LWKOPT = MAX( N, M, P)*NB
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LWKOPT = MAX( 1, MAX( N, M, P )*NB )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
LQUERY = ( LWORK.EQ.-1 )
IF( M.LT.0 ) THEN
INFO = -1
@ -288,7 +288,7 @@
* QR factorization of P-by-N matrix B: B = Z*T
*
CALL CGEQRF( P, N, B, LDB, TAUB, WORK, LWORK, INFO )
WORK( 1 ) = MAX( LOPT, INT( WORK( 1 ) ) )
WORK( 1 ) = SROUNDUP_LWORK( MAX( LOPT, INT( WORK( 1 ) ) ) )
*
RETURN
*

4
lapack-netlib/SRC/cggsvd3.f
View File

@ -278,7 +278,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= 1.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@ -333,7 +333,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexGEsing
*> \ingroup ggsvd3
*
*> \par Contributors:
* ==================

4
lapack-netlib/SRC/cggsvp3.f
View File

@ -233,7 +233,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> The dimension of the array WORK. LWORK >= 1.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@ -256,7 +256,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexOTHERcomputational
*> \ingroup ggsvp3
*
*> \par Further Details:
* =====================

11
lapack-netlib/SRC/cheevd.f
View File

@ -116,8 +116,7 @@
*>
*> \param[out] RWORK
*> \verbatim
*> RWORK is REAL array,
*> dimension (LRWORK)
*> RWORK is REAL array, dimension (MAX(1,LRWORK))
*> On exit, if INFO = 0, RWORK(1) returns the optimal LRWORK.
*> \endverbatim
*>
@ -282,8 +281,8 @@
LROPT = LRWMIN
LIOPT = LIWMIN
END IF
WORK( 1 ) = SROUNDUP_LWORK(LOPT)
RWORK( 1 ) = LROPT
WORK( 1 ) = SROUNDUP_LWORK( LOPT )
RWORK( 1 ) = SROUNDUP_LWORK( LROPT )
IWORK( 1 ) = LIOPT
*
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN
@ -378,8 +377,8 @@
CALL SSCAL( IMAX, ONE / SIGMA, W, 1 )
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(LOPT)
RWORK( 1 ) = LROPT
WORK( 1 ) = SROUNDUP_LWORK( LOPT )
RWORK( 1 ) = SROUNDUP_LWORK( LROPT )
IWORK( 1 ) = LIOPT
*
RETURN

31
lapack-netlib/SRC/cheevr.f
View File

@ -272,7 +272,8 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of the array WORK. LWORK >= max(1,2*N).
*> The length of the array WORK.
*> If N <= 1, LWORK >= 1, else LWORK >= 2*N.
*> For optimal efficiency, LWORK >= (NB+1)*N,
*> where NB is the max of the blocksize for CHETRD and for
*> CUNMTR as returned by ILAENV.
@ -294,7 +295,8 @@
*> \param[in] LRWORK
*> \verbatim
*> LRWORK is INTEGER
*> The length of the array RWORK. LRWORK >= max(1,24*N).
*> The length of the array RWORK.
*> If N <= 1, LRWORK >= 1, else LRWORK >= 24*N.
*>
*> If LRWORK = -1, then a workspace query is assumed; the
*> routine only calculates the optimal sizes of the WORK, RWORK
@ -313,7 +315,8 @@
*> \param[in] LIWORK
*> \verbatim
*> LIWORK is INTEGER
*> The dimension of the array IWORK. LIWORK >= max(1,10*N).
*> The dimension of the array IWORK.
*> If N <= 1, LIWORK >= 1, else LIWORK >= 10*N.
*>
*> If LIWORK = -1, then a workspace query is assumed; the
*> routine only calculates the optimal sizes of the WORK, RWORK
@ -417,9 +420,15 @@
LQUERY = ( ( LWORK.EQ.-1 ) .OR. ( LRWORK.EQ.-1 ) .OR.
$ ( LIWORK.EQ.-1 ) )
*
LRWMIN = MAX( 1, 24*N )
LIWMIN = MAX( 1, 10*N )
LWMIN = MAX( 1, 2*N )
IF( N.LE.1 ) THEN
LWMIN = 1
LRWMIN = 1
LIWMIN = 1
ELSE
LWMIN = 2*N
LRWMIN = 24*N
LIWMIN = 10*N
END IF
*
INFO = 0
IF( .NOT.( WANTZ .OR. LSAME( JOBZ, 'N' ) ) ) THEN
@ -454,8 +463,8 @@
NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 )
NB = MAX( NB, ILAENV( 1, 'CUNMTR', UPLO, N, -1, -1, -1 ) )
LWKOPT = MAX( ( NB+1 )*N, LWMIN )
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
RWORK( 1 ) = LRWMIN
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RWORK( 1 ) = SROUNDUP_LWORK( LRWMIN )
IWORK( 1 ) = LIWMIN
*
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN
@ -483,7 +492,7 @@
END IF
*
IF( N.EQ.1 ) THEN
WORK( 1 ) = 2
WORK( 1 ) = 1
IF( ALLEIG .OR. INDEIG ) THEN
M = 1
W( 1 ) = REAL( A( 1, 1 ) )
@ -710,8 +719,8 @@
*
* Set WORK(1) to optimal workspace size.
*
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
RWORK( 1 ) = LRWMIN
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RWORK( 1 ) = SROUNDUP_LWORK( LRWMIN )
IWORK( 1 ) = LIWMIN
*
RETURN

37
lapack-netlib/SRC/cheevr_2stage.f
View File

@ -280,6 +280,7 @@
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> If N <= 1, LWORK must be at least 1.
*> If JOBZ = 'N' and N > 1, LWORK must be queried.
*> LWORK = MAX(1, 26*N, dimension) where
*> dimension = max(stage1,stage2) + (KD+1)*N + N
@ -310,7 +311,8 @@
*> \param[in] LRWORK
*> \verbatim
*> LRWORK is INTEGER
*> The length of the array RWORK. LRWORK >= max(1,24*N).
*> The length of the array RWORK.
*> If N <= 1, LRWORK >= 1, else LRWORK >= 24*N.
*>
*> If LRWORK = -1, then a workspace query is assumed; the
*> routine only calculates the optimal sizes of the WORK, RWORK
@ -329,7 +331,8 @@
*> \param[in] LIWORK
*> \verbatim
*> LIWORK is INTEGER
*> The dimension of the array IWORK. LIWORK >= max(1,10*N).
*> The dimension of the array IWORK.
*> If N <= 1, LIWORK >= 1, else LIWORK >= 10*N.
*>
*> If LIWORK = -1, then a workspace query is assumed; the
*> routine only calculates the optimal sizes of the WORK, RWORK
@ -354,7 +357,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexHEeigen
*> \ingroup heevr_2stage
*
*> \par Contributors:
* ==================
@ -443,8 +446,9 @@
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV, ILAENV2STAGE
REAL SLAMCH, CLANSY
EXTERNAL LSAME, SLAMCH, CLANSY, ILAENV, ILAENV2STAGE
REAL SLAMCH, CLANSY, SROUNDUP_LWORK
EXTERNAL LSAME, SLAMCH, CLANSY, ILAENV, ILAENV2STAGE,
$ SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL SCOPY, SSCAL, SSTEBZ, SSTERF, XERBLA, CSSCAL,
@ -472,9 +476,16 @@
IB = ILAENV2STAGE( 2, 'CHETRD_2STAGE', JOBZ, N, KD, -1, -1 )
LHTRD = ILAENV2STAGE( 3, 'CHETRD_2STAGE', JOBZ, N, KD, IB, -1 )
LWTRD = ILAENV2STAGE( 4, 'CHETRD_2STAGE', JOBZ, N, KD, IB, -1 )
*
IF( N.LE.1 ) THEN
LWMIN = 1
LRWMIN = 1
LIWMIN = 1
ELSE
LWMIN = N + LHTRD + LWTRD
LRWMIN = MAX( 1, 24*N )
LIWMIN = MAX( 1, 10*N )
LRWMIN = 24*N
LIWMIN = 10*N
END IF
*
INFO = 0
IF( .NOT.( LSAME( JOBZ, 'N' ) ) ) THEN
@ -506,8 +517,8 @@
END IF
*
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = LWMIN
RWORK( 1 ) = LRWMIN
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RWORK( 1 ) = SROUNDUP_LWORK( LRWMIN )
IWORK( 1 ) = LIWMIN
*
IF( LWORK.LT.LWMIN .AND. .NOT.LQUERY ) THEN
@ -535,7 +546,7 @@
END IF
*
IF( N.EQ.1 ) THEN
WORK( 1 ) = 2
WORK( 1 ) = 1
IF( ALLEIG .OR. INDEIG ) THEN
M = 1
W( 1 ) = REAL( A( 1, 1 ) )
@ -666,7 +677,7 @@
CALL SCOPY( N-1, RWORK( INDRE ), 1, RWORK( INDREE ), 1 )
CALL SCOPY( N, RWORK( INDRD ), 1, RWORK( INDRDD ), 1 )
*
IF (ABSTOL .LE. TWO*N*EPS) THEN
IF ( ABSTOL .LE. TWO*N*EPS ) THEN
TRYRAC = .TRUE.
ELSE
TRYRAC = .FALSE.
@ -765,8 +776,8 @@
*
* Set WORK(1) to optimal workspace size.
*
WORK( 1 ) = LWMIN
RWORK( 1 ) = LRWMIN
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RWORK( 1 ) = SROUNDUP_LWORK( LRWMIN )
IWORK( 1 ) = LIWMIN
*
RETURN

6
lapack-netlib/SRC/cheevx.f
View File

@ -348,14 +348,14 @@
IF( INFO.EQ.0 ) THEN
IF( N.LE.1 ) THEN
LWKMIN = 1
WORK( 1 ) = LWKMIN
LWKOPT = 1
ELSE
LWKMIN = 2*N
NB = ILAENV( 1, 'CHETRD', UPLO, N, -1, -1, -1 )
NB = MAX( NB, ILAENV( 1, 'CUNMTR', UPLO, N, -1, -1, -1 ) )
LWKOPT = MAX( 1, ( NB + 1 )*N )
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LWKOPT = ( NB + 1 )*N
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY )
$ INFO = -17

15
lapack-netlib/SRC/chesv_aa.f
View File

@ -177,7 +177,7 @@
*
* .. Local Scalars ..
LOGICAL LQUERY
INTEGER LWKOPT, LWKOPT_HETRF, LWKOPT_HETRS
INTEGER LWKMIN, LWKOPT, LWKOPT_HETRF, LWKOPT_HETRS
* ..
* .. External Functions ..
LOGICAL LSAME
@ -197,6 +197,7 @@
*
INFO = 0
LQUERY = ( LWORK.EQ.-1 )
LWKMIN = MAX( 1, 2*N, 3*N-2 )
IF( .NOT.LSAME( UPLO, 'U' ) .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
INFO = -1
ELSE IF( N.LT.0 ) THEN
@ -207,18 +208,18 @@
INFO = -5
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
INFO = -8
ELSE IF( LWORK.LT.MAX( 2*N, 3*N-2 ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -10
END IF
*
IF( INFO.EQ.0 ) THEN
CALL CHETRF_AA( UPLO, N, A, LDA, IPIV, WORK, -1, INFO )
LWKOPT_HETRF = INT( WORK(1) )
LWKOPT_HETRF = INT( WORK( 1 ) )
CALL CHETRS_AA( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK,
$ -1, INFO )
LWKOPT_HETRS = INT( WORK(1) )
LWKOPT = MAX( LWKOPT_HETRF, LWKOPT_HETRS )
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LWKOPT_HETRS = INT( WORK( 1 ) )
LWKOPT = MAX( LWKMIN, LWKOPT_HETRF, LWKOPT_HETRS )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -240,7 +241,7 @@
*
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

24
lapack-netlib/SRC/chesv_aa_2stage.f
View File

@ -99,14 +99,14 @@
*>
*> \param[out] TB
*> \verbatim
*> TB is COMPLEX array, dimension (LTB)
*> TB is COMPLEX array, dimension (MAX(1,LTB)).
*> On exit, details of the LU factorization of the band matrix.
*> \endverbatim
*>
*> \param[in] LTB
*> \verbatim
*> LTB is INTEGER
*> The size of the array TB. LTB >= 4*N, internally
*> The size of the array TB. LTB >= MAX(1,4*N), internally
*> used to select NB such that LTB >= (3*NB+1)*N.
*>
*> If LTB = -1, then a workspace query is assumed; the
@ -146,14 +146,15 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX workspace of size LWORK
*> WORK is COMPLEX workspace of size (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The size of WORK. LWORK >= N, internally used to select NB
*> such that LWORK >= N*NB.
*> The size of WORK. LWORK >= MAX(1,N), internally used to
*> select NB such that LWORK >= N*NB.
*>
*> If LWORK = -1, then a workspace query is assumed; the
*> routine only calculates the optimal size of the WORK array,
@ -203,7 +204,7 @@
*
* .. Local Scalars ..
LOGICAL UPPER, TQUERY, WQUERY
INTEGER LWKOPT
INTEGER LWKMIN, LWKOPT
* ..
* .. External Functions ..
LOGICAL LSAME
@ -225,6 +226,7 @@
UPPER = LSAME( UPLO, 'U' )
WQUERY = ( LWORK.EQ.-1 )
TQUERY = ( LTB.EQ.-1 )
LWKMIN = MAX( 1, N )
IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
INFO = -1
ELSE IF( N.LT.0 ) THEN
@ -233,18 +235,19 @@
INFO = -3
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
INFO = -5
ELSE IF( LTB.LT.( 4*N ) .AND. .NOT.TQUERY ) THEN
ELSE IF( LTB.LT.MAX( 1, 4*N ) .AND. .NOT.TQUERY ) THEN
INFO = -7
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
INFO = -11
ELSE IF( LWORK.LT.N .AND. .NOT.WQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.WQUERY ) THEN
INFO = -13
END IF
*
IF( INFO.EQ.0 ) THEN
CALL CHETRF_AA_2STAGE( UPLO, N, A, LDA, TB, -1, IPIV,
$ IPIV2, WORK, -1, INFO )
LWKOPT = INT( WORK(1) )
LWKOPT = MAX( LWKMIN, INT( WORK( 1 ) ) )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -254,7 +257,6 @@
RETURN
END IF
*
*
* Compute the factorization A = U**H*T*U or A = L*T*L**H.
*
CALL CHETRF_AA_2STAGE( UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2,
@ -268,7 +270,7 @@
*
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

11
lapack-netlib/SRC/chesvx.f
View File

@ -307,7 +307,7 @@
* ..
* .. Local Scalars ..
LOGICAL LQUERY, NOFACT
INTEGER LWKOPT, NB
INTEGER LWKMIN, LWKOPT, NB
REAL ANORM
* ..
* .. External Functions ..
@ -329,6 +329,7 @@
INFO = 0
NOFACT = LSAME( FACT, 'N' )
LQUERY = ( LWORK.EQ.-1 )
LWKMIN = MAX( 1, 2*N )
IF( .NOT.NOFACT .AND. .NOT.LSAME( FACT, 'F' ) ) THEN
INFO = -1
ELSE IF( .NOT.LSAME( UPLO, 'U' ) .AND. .NOT.LSAME( UPLO, 'L' ) )
@ -346,17 +347,17 @@
INFO = -11
ELSE IF( LDX.LT.MAX( 1, N ) ) THEN
INFO = -13
ELSE IF( LWORK.LT.MAX( 1, 2*N ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -18
END IF
*
IF( INFO.EQ.0 ) THEN
LWKOPT = MAX( 1, 2*N )
LWKOPT = LWKMIN
IF( NOFACT ) THEN
NB = ILAENV( 1, 'CHETRF', UPLO, N, -1, -1, -1 )
LWKOPT = MAX( LWKOPT, N*NB )
END IF
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -405,7 +406,7 @@
IF( RCOND.LT.SLAMCH( 'Epsilon' ) )
$ INFO = N + 1
*
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

30
lapack-netlib/SRC/chetrd_2stage.f
View File

@ -123,7 +123,7 @@
*>
*> \param[out] HOUS2
*> \verbatim
*> HOUS2 is COMPLEX array, dimension (LHOUS2)
*> HOUS2 is COMPLEX array, dimension (MAX(1,LHOUS2))
*> Stores the Householder representation of the stage2
*> band to tridiagonal.
*> \endverbatim
@ -132,6 +132,8 @@
*> \verbatim
*> LHOUS2 is INTEGER
*> The dimension of the array HOUS2.
*> LHOUS2 >= 1.
*>
*> If LWORK = -1, or LHOUS2=-1,
*> then a query is assumed; the routine
*> only calculates the optimal size of the HOUS2 array, returns
@ -143,13 +145,16 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension (LWORK)
*> WORK is COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK = MAX(1, dimension)
*> The dimension of the array WORK.
*> If N = 0, LWORK >= 1, else LWORK = MAX(1, dimension).
*>
*> If LWORK = -1, or LHOUS2 = -1,
*> then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@ -182,7 +187,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexHEcomputational
*> \ingroup hetrd_2stage
*
*> \par Further Details:
* =====================
@ -250,7 +255,8 @@
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV2STAGE
EXTERNAL LSAME, ILAENV2STAGE
REAL SROUNDUP_LWORK
EXTERNAL LSAME, ILAENV2STAGE, SROUNDUP_LWORK
* ..
* .. Executable Statements ..
*
@ -265,10 +271,13 @@
*
KD = ILAENV2STAGE( 1, 'CHETRD_2STAGE', VECT, N, -1, -1, -1 )
IB = ILAENV2STAGE( 2, 'CHETRD_2STAGE', VECT, N, KD, -1, -1 )
IF( N.EQ.0 ) THEN
LHMIN = 1
LWMIN = 1
ELSE
LHMIN = ILAENV2STAGE( 3, 'CHETRD_2STAGE', VECT, N, KD, IB, -1 )
LWMIN = ILAENV2STAGE( 4, 'CHETRD_2STAGE', VECT, N, KD, IB, -1 )
* WRITE(*,*),'CHETRD_2STAGE N KD UPLO LHMIN LWMIN ',N, KD, UPLO,
* $ LHMIN, LWMIN
END IF
*
IF( .NOT.LSAME( VECT, 'N' ) ) THEN
INFO = -1
@ -285,8 +294,8 @@
END IF
*
IF( INFO.EQ.0 ) THEN
HOUS2( 1 ) = LHMIN
WORK( 1 ) = LWMIN
HOUS2( 1 ) = SROUNDUP_LWORK( LHMIN )
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
*
IF( INFO.NE.0 ) THEN
@ -324,8 +333,7 @@
END IF
*
*
HOUS2( 1 ) = LHMIN
WORK( 1 ) = LWMIN
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of CHETRD_2STAGE

34
lapack-netlib/SRC/chetrd_hb2st.F
View File

@ -132,15 +132,17 @@
*>
*> \param[out] HOUS
*> \verbatim
*> HOUS is COMPLEX array, dimension LHOUS, that
*> store the Householder representation.
*> HOUS is COMPLEX array, dimension (MAX(1,LHOUS))
*> Stores the Householder representation.
*> \endverbatim
*>
*> \param[in] LHOUS
*> \verbatim
*> LHOUS is INTEGER
*> The dimension of the array HOUS. LHOUS = MAX(1, dimension)
*> If LWORK = -1, or LHOUS=-1,
*> The dimension of the array HOUS.
*> If N = 0 or KD <= 1, LHOUS >= 1, else LHOUS = MAX(1, dimension).
*>
*> If LWORK = -1, or LHOUS = -1,
*> then a query is assumed; the routine
*> only calculates the optimal size of the HOUS array, returns
*> this value as the first entry of the HOUS array, and no error
@ -152,14 +154,17 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension LWORK.
*> WORK is COMPLEX array, dimension (MAX(1,LWORK)).
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK = MAX(1, dimension)
*> If LWORK = -1, or LHOUS=-1,
*> The dimension of the array WORK.
*> If N = 0 or KD <= 1, LWORK >= 1, else LWORK = MAX(1, dimension).
*>
*> If LWORK = -1, or LHOUS = -1,
*> then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
@ -262,7 +267,7 @@
INTEGER I, M, K, IB, SWEEPID, MYID, SHIFT, STT, ST,
$ ED, STIND, EDIND, BLKLASTIND, COLPT, THED,
$ STEPERCOL, GRSIZ, THGRSIZ, THGRNB, THGRID,
$ NBTILES, TTYPE, TID, NTHREADS, DEBUG,
$ NBTILES, TTYPE, TID, NTHREADS,
$ ABDPOS, ABOFDPOS, DPOS, OFDPOS, AWPOS,
$ INDA, INDW, APOS, SIZEA, LDA, INDV, INDTAU,
$ SICEV, SIZETAU, LDV, LHMIN, LWMIN
@ -286,7 +291,6 @@
* Determine the minimal workspace size required.
* Test the input parameters
*
DEBUG = 0
INFO = 0
AFTERS1 = LSAME( STAGE1, 'Y' )
WANTQ = LSAME( VECT, 'V' )
@ -296,8 +300,13 @@
* Determine the block size, the workspace size and the hous size.
*
IB = ILAENV2STAGE( 2, 'CHETRD_HB2ST', VECT, N, KD, -1, -1 )
IF( N.EQ.0 .OR. KD.LE.1 ) THEN
LHMIN = 1
LWMIN = 1
ELSE
LHMIN = ILAENV2STAGE( 3, 'CHETRD_HB2ST', VECT, N, KD, IB, -1 )
LWMIN = ILAENV2STAGE( 4, 'CHETRD_HB2ST', VECT, N, KD, IB, -1 )
END IF
*
IF( .NOT.AFTERS1 .AND. .NOT.LSAME( STAGE1, 'N' ) ) THEN
INFO = -1
@ -318,8 +327,8 @@
END IF
*
IF( INFO.EQ.0 ) THEN
HOUS( 1 ) = LHMIN
WORK( 1 ) = SROUNDUP_LWORK(LWMIN)
HOUS( 1 ) = SROUNDUP_LWORK( LHMIN )
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
*
IF( INFO.NE.0 ) THEN
@ -575,8 +584,7 @@ C END IF
170 CONTINUE
ENDIF
*
HOUS( 1 ) = LHMIN
WORK( 1 ) = SROUNDUP_LWORK(LWMIN)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of CHETRD_HB2ST

18
lapack-netlib/SRC/chetrd_he2hb.f
View File

@ -123,8 +123,8 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension (LWORK)
*> On exit, if INFO = 0, or if LWORK=-1,
*> WORK is COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, or if LWORK = -1,
*> WORK(1) returns the size of LWORK.
*> \endverbatim
*>
@ -132,7 +132,9 @@
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK which should be calculated
*> by a workspace query. LWORK = MAX(1, LWORK_QUERY)
*> by a workspace query.
*> If N <= KD+1, LWORK >= 1, else LWORK = MAX(1, LWORK_QUERY).
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
@ -294,8 +296,12 @@
INFO = 0
UPPER = LSAME( UPLO, 'U' )
LQUERY = ( LWORK.EQ.-1 )
IF( N.LE.KD+1 ) THEN
LWMIN = 1
ELSE
LWMIN = ILAENV2STAGE( 4, 'CHETRD_HE2HB', '', N, KD, -1, -1 )
END IF
*
IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
INFO = -1
ELSE IF( N.LT.0 ) THEN
@ -314,7 +320,7 @@
CALL XERBLA( 'CHETRD_HE2HB', -INFO )
RETURN
ELSE IF( LQUERY ) THEN
WORK( 1 ) = SROUNDUP_LWORK(LWMIN)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
END IF
*
@ -507,7 +513,7 @@
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(LWMIN)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of CHETRD_HE2HB

8
lapack-netlib/SRC/chetrf.f
View File

@ -107,7 +107,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of WORK. LWORK >=1. For best performance
*> The length of WORK. LWORK >= 1. For best performance
*> LWORK >= N*NB, where NB is the block size returned by ILAENV.
*> \endverbatim
*>
@ -228,8 +228,8 @@
* Determine the block size
*
NB = ILAENV( 1, 'CHETRF', UPLO, N, -1, -1, -1 )
LWKOPT = N*NB
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LWKOPT = MAX( 1, N*NB )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -347,7 +347,7 @@
END IF
*
40 CONTINUE
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
*
* End of CHETRF

29
lapack-netlib/SRC/chetrf_aa.f
View File

@ -101,8 +101,10 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of WORK. LWORK >= 2*N. For optimum performance
*> LWORK >= N*(1+NB), where NB is the optimal blocksize.
*> The length of WORK.
*> LWORK >= 1, if N <= 1, and LWORK >= 2*N, otherwise.
*> For optimum performance LWORK >= N*(1+NB), where NB is
*> the optimal blocksize, returned by ILAENV.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
@ -128,7 +130,7 @@
*> \ingroup hetrf_aa
*
* =====================================================================
SUBROUTINE CHETRF_AA( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
SUBROUTINE CHETRF_AA( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
*
* -- LAPACK computational routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
@ -152,7 +154,7 @@
*
* .. Local Scalars ..
LOGICAL LQUERY, UPPER
INTEGER J, LWKOPT
INTEGER J, LWKMIN, LWKOPT
INTEGER NB, MJ, NJ, K1, K2, J1, J2, J3, JB
COMPLEX ALPHA
* ..
@ -179,19 +181,26 @@
INFO = 0
UPPER = LSAME( UPLO, 'U' )
LQUERY = ( LWORK.EQ.-1 )
IF( N.LE.1 ) THEN
LWKMIN = 1
LWKOPT = 1
ELSE
LWKMIN = 2*N
LWKOPT = (NB+1)*N
END IF
*
IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
INFO = -1
ELSE IF( N.LT.0 ) THEN
INFO = -2
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
INFO = -4
ELSE IF( LWORK.LT.( 2*N ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -7
END IF
*
IF( INFO.EQ.0 ) THEN
LWKOPT = (NB+1)*N
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -203,11 +212,11 @@
*
* Quick return
*
IF ( N.EQ.0 ) THEN
IF( N.EQ.0 ) THEN
RETURN
ENDIF
IPIV( 1 ) = 1
IF ( N.EQ.1 ) THEN
IF( N.EQ.1 ) THEN
A( 1, 1 ) = REAL( A( 1, 1 ) )
RETURN
END IF
@ -460,7 +469,7 @@
END IF
*
20 CONTINUE
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
*
* End of CHETRF_AA

25
lapack-netlib/SRC/chetrf_aa_2stage.f
View File

@ -87,14 +87,14 @@
*>
*> \param[out] TB
*> \verbatim
*> TB is COMPLEX array, dimension (LTB)
*> TB is COMPLEX array, dimension (MAX(1,LTB))
*> On exit, details of the LU factorization of the band matrix.
*> \endverbatim
*>
*> \param[in] LTB
*> \verbatim
*> LTB is INTEGER
*> The size of the array TB. LTB >= 4*N, internally
*> The size of the array TB. LTB >= MAX(1,4*N), internally
*> used to select NB such that LTB >= (3*NB+1)*N.
*>
*> If LTB = -1, then a workspace query is assumed; the
@ -121,14 +121,14 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX workspace of size LWORK
*> WORK is COMPLEX workspace of size (MAX(1,LWORK))
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The size of WORK. LWORK >= N, internally used to select NB
*> such that LWORK >= N*NB.
*> The size of WORK. LWORK >= MAX(1,N), internally used
*> to select NB such that LWORK >= N*NB.
*>
*> If LWORK = -1, then a workspace query is assumed; the
*> routine only calculates the optimal size of the WORK array,
@ -152,7 +152,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexSYcomputational
*> \ingroup hetrf_aa_2stage
*
* =====================================================================
SUBROUTINE CHETRF_AA_2STAGE( UPLO, N, A, LDA, TB, LTB, IPIV,
@ -188,7 +188,8 @@
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
EXTERNAL LSAME, ILAENV
REAL SROUNDUP_LWORK
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
@ -213,9 +214,9 @@
INFO = -2
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
INFO = -4
ELSE IF ( LTB .LT. 4*N .AND. .NOT.TQUERY ) THEN
ELSE IF( LTB.LT.MAX( 1, 4*N ) .AND. .NOT.TQUERY ) THEN
INFO = -6
ELSE IF ( LWORK .LT. N .AND. .NOT.WQUERY ) THEN
ELSE IF( LWORK.LT.MAX( 1, N ) .AND. .NOT.WQUERY ) THEN
INFO = -10
END IF
*
@ -229,10 +230,10 @@
NB = ILAENV( 1, 'CHETRF_AA_2STAGE', UPLO, N, -1, -1, -1 )
IF( INFO.EQ.0 ) THEN
IF( TQUERY ) THEN
TB( 1 ) = (3*NB+1)*N
TB( 1 ) = SROUNDUP_LWORK( MAX( 1, (3*NB+1)*N ) )
END IF
IF( WQUERY ) THEN
WORK( 1 ) = N*NB
WORK( 1 ) = SROUNDUP_LWORK( MAX( 1, N*NB ) )
END IF
END IF
IF( TQUERY .OR. WQUERY ) THEN
@ -241,7 +242,7 @@
*
* Quick return
*
IF ( N.EQ.0 ) THEN
IF( N.EQ.0 ) THEN
RETURN
ENDIF
*

10
lapack-netlib/SRC/chetrf_rk.f
View File

@ -177,14 +177,14 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension ( MAX(1,LWORK) ).
*> WORK is COMPLEX array, dimension (MAX(1,LWORK)).
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of WORK. LWORK >=1. For best performance
*> The length of WORK. LWORK >= 1. For best performance
*> LWORK >= N*NB, where NB is the block size returned
*> by ILAENV.
*>
@ -311,8 +311,8 @@
* Determine the block size
*
NB = ILAENV( 1, 'CHETRF_RK', UPLO, N, -1, -1, -1 )
LWKOPT = N*NB
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
LWKOPT = MAX( 1, N*NB )
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -488,7 +488,7 @@
*
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
*
* End of CHETRF_RK

6
lapack-netlib/SRC/chetrf_rook.f
View File

@ -122,7 +122,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of WORK. LWORK >=1. For best performance
*> The length of WORK. LWORK >= 1. For best performance
*> LWORK >= N*NB, where NB is the block size returned by ILAENV.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
@ -264,7 +264,7 @@
*
NB = ILAENV( 1, 'CHETRF_ROOK', UPLO, N, -1, -1, -1 )
LWKOPT = MAX( 1, N*NB )
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
END IF
*
IF( INFO.NE.0 ) THEN
@ -387,7 +387,7 @@
END IF
*
40 CONTINUE
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
RETURN
*
* End of CHETRF_ROOK

28
lapack-netlib/SRC/chetri2.f
View File

@ -88,14 +88,14 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension (N+NB+1)*(NB+3)
*> WORK is COMPLEX array, dimension (MAX(1,LWORK))
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> WORK is size >= (N+NB+1)*(NB+3)
*> If N = 0, LWORK >= 1, else LWORK >= (N+NB+1)*(NB+3).
*> If LWORK = -1, then a workspace query is assumed; the routine
*> calculates:
*> - the optimal size of the WORK array, returns
@ -120,7 +120,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complexHEcomputational
*> \ingroup hetri2
*
* =====================================================================
SUBROUTINE CHETRI2( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
@ -147,7 +147,8 @@
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
EXTERNAL LSAME, ILAENV
REAL SROUNDUP_LWORK
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CHETRI2X, CHETRI, XERBLA
@ -159,9 +160,13 @@
INFO = 0
UPPER = LSAME( UPLO, 'U' )
LQUERY = ( LWORK.EQ.-1 )
*
* Get blocksize
*
NBMAX = ILAENV( 1, 'CHETRF', UPLO, N, -1, -1, -1 )
IF ( NBMAX .GE. N ) THEN
IF( N.EQ.0 ) THEN
MINSIZE = 1
ELSE IF( NBMAX.GE.N ) THEN
MINSIZE = N
ELSE
MINSIZE = (N+NBMAX+1)*(NBMAX+3)
@ -173,28 +178,29 @@
INFO = -2
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
INFO = -4
ELSE IF (LWORK .LT. MINSIZE .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.MINSIZE .AND. .NOT.LQUERY ) THEN
INFO = -7
END IF
*
* Quick return if possible
*
*
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CHETRI2', -INFO )
RETURN
ELSE IF( LQUERY ) THEN
WORK(1)=MINSIZE
WORK( 1 ) = SROUNDUP_LWORK( MINSIZE )
RETURN
END IF
*
* Quick return if possible
*
IF( N.EQ.0 )
$ RETURN
IF( NBMAX .GE. N ) THEN
IF( NBMAX.GE.N ) THEN
CALL CHETRI( UPLO, N, A, LDA, IPIV, WORK, INFO )
ELSE
CALL CHETRI2X( UPLO, N, A, LDA, IPIV, WORK, NBMAX, INFO )
END IF
*
RETURN
*
* End of CHETRI2

17
lapack-netlib/SRC/chetri_3.f
View File

@ -119,16 +119,17 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX array, dimension (N+NB+1)*(NB+3).
*> WORK is COMPLEX array, dimension (MAX(1,LWORK)).
*> On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of WORK. LWORK >= (N+NB+1)*(NB+3).
*> The length of WORK.
*> If N = 0, LWORK >= 1, else LWORK >= (N+NB+1)*(NB+3).
*>
*> If LDWORK = -1, then a workspace query is assumed;
*> If LWORK = -1, then a workspace query is assumed;
*> the routine only calculates the optimal size of the optimal
*> size of the WORK array, returns this value as the first
*> entry of the WORK array, and no error message related to
@ -209,8 +210,13 @@
*
* Determine the block size
*
IF( N.EQ.0 ) THEN
LWKOPT = 1
ELSE
NB = MAX( 1, ILAENV( 1, 'CHETRI_3', UPLO, N, -1, -1, -1 ) )
LWKOPT = ( N+NB+1 ) * ( NB+3 )
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
INFO = -1
@ -218,7 +224,7 @@
INFO = -2
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
INFO = -4
ELSE IF ( LWORK .LT. LWKOPT .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
INFO = -8
END IF
*
@ -226,7 +232,6 @@
CALL XERBLA( 'CHETRI_3', -INFO )
RETURN
ELSE IF( LQUERY ) THEN
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
RETURN
END IF
*
@ -237,7 +242,7 @@
*
CALL CHETRI_3X( UPLO, N, A, LDA, E, IPIV, WORK, NB, INFO )
*
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKOPT )
*
RETURN
*

27
lapack-netlib/SRC/chetrs_aa.f
View File

@ -105,7 +105,13 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK >= max(1,3*N-2).
*> The dimension of the array WORK.
*> If MIN(N,NRHS) = 0, LWORK >= 1, else LWORK >= 3*N-2.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the minimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
*> message related to LWORK is issued by XERBLA.
*> \endverbatim
*>
*> \param[out] INFO
@ -151,24 +157,30 @@
* ..
* .. Local Scalars ..
LOGICAL LQUERY, UPPER
INTEGER K, KP, LWKOPT
INTEGER K, KP, LWKMIN
* ..
* .. External Functions ..
LOGICAL LSAME
REAL SROUNDUP_LWORK
EXTERNAL LSAME,SROUNDUP_LWORK
EXTERNAL LSAME, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CLACPY, CLACGV, CGTSV, CSWAP, CTRSM, XERBLA
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX
INTRINSIC MIN, MAX
* ..
* .. Executable Statements ..
*
INFO = 0
UPPER = LSAME( UPLO, 'U' )
LQUERY = ( LWORK.EQ.-1 )
IF( MIN( N, NRHS ).EQ.0 ) THEN
LWKMIN = 1
ELSE
LWKMIN = 3*N-2
END IF
*
IF( .NOT.UPPER .AND. .NOT.LSAME( UPLO, 'L' ) ) THEN
INFO = -1
ELSE IF( N.LT.0 ) THEN
@ -179,21 +191,20 @@
INFO = -5
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
INFO = -8
ELSE IF( LWORK.LT.MAX( 1, 3*N-2 ) .AND. .NOT.LQUERY ) THEN
ELSE IF( LWORK.LT.LWKMIN .AND. .NOT.LQUERY ) THEN
INFO = -10
END IF
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CHETRS_AA', -INFO )
RETURN
ELSE IF( LQUERY ) THEN
LWKOPT = (3*N-2)
WORK( 1 ) = SROUNDUP_LWORK(LWKOPT)
WORK( 1 ) = SROUNDUP_LWORK( LWKMIN )
RETURN
END IF
*
* Quick return if possible
*
IF( N.EQ.0 .OR. NRHS.EQ.0 )
IF( MIN( N, NRHS ).EQ.0 )
$ RETURN
*
IF( UPPER ) THEN

46
lapack-netlib/SRC/clamswlq.f
View File

@ -128,16 +128,19 @@
*> \param[out] WORK
*> \verbatim
*> (workspace) COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the minimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> If SIDE = 'L', LWORK >= max(1,NB) * MB;
*> if SIDE = 'R', LWORK >= max(1,M) * MB.
*> If MIN(M,N,K) = 0, LWORK >= 1.
*> If SIDE = 'L', LWORK >= max(1,NB*MB).
*> If SIDE = 'R', LWORK >= max(1,M*MB).
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
*> only calculates the minimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
*> message related to LWORK is issued by XERBLA.
*> \endverbatim
@ -204,7 +207,7 @@
INTEGER INFO, LDA, M, N, K, MB, NB, LDT, LWORK, LDC
* ..
* .. Array Arguments ..
COMPLEX A( LDA, * ), WORK( * ), C(LDC, * ),
COMPLEX A( LDA, * ), WORK( * ), C( LDC, * ),
$ T( LDT, * )
* ..
*
@ -213,12 +216,13 @@
* ..
* .. Local Scalars ..
LOGICAL LEFT, RIGHT, TRAN, NOTRAN, LQUERY
INTEGER I, II, KK, LW, CTR
INTEGER I, II, KK, LW, CTR, MINMNK, LWMIN
* ..
* .. External Functions ..
LOGICAL LSAME
REAL SROUNDUP_LWORK
EXTERNAL LSAME, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CTPMLQT, CGEMLQT, XERBLA
* ..
@ -226,18 +230,25 @@
*
* Test the input arguments
*
LQUERY = LWORK.LT.0
INFO = 0
LQUERY = ( LWORK.EQ.-1 )
NOTRAN = LSAME( TRANS, 'N' )
TRAN = LSAME( TRANS, 'C' )
LEFT = LSAME( SIDE, 'L' )
RIGHT = LSAME( SIDE, 'R' )
IF (LEFT) THEN
IF( LEFT ) THEN
LW = N * MB
ELSE
LW = M * MB
END IF
*
INFO = 0
MINMNK = MIN( M, N, K )
IF( MINMNK.EQ.0 ) THEN
LWMIN = 1
ELSE
LWMIN = MAX( 1, LW )
END IF
*
IF( .NOT.LEFT .AND. .NOT.RIGHT ) THEN
INFO = -1
ELSE IF( .NOT.TRAN .AND. .NOT.NOTRAN ) THEN
@ -248,36 +259,37 @@
INFO = -3
ELSE IF( N.LT.0 ) THEN
INFO = -4
ELSE IF( K.LT.MB .OR. MB.LT.1) THEN
ELSE IF( K.LT.MB .OR. MB.LT.1 ) THEN
INFO = -6
ELSE IF( LDA.LT.MAX( 1, K ) ) THEN
INFO = -9
ELSE IF( LDT.LT.MAX( 1, MB) ) THEN
ELSE IF( LDT.LT.MAX( 1, MB ) ) THEN
INFO = -11
ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
INFO = -13
ELSE IF(( LWORK.LT.MAX(1,LW)).AND.(.NOT.LQUERY)) THEN
ELSE IF( LWORK.LT.LWMIN .AND. (.NOT.LQUERY) ) THEN
INFO = -15
END IF
*
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CLAMSWLQ', -INFO )
WORK(1) = SROUNDUP_LWORK(LW)
RETURN
ELSE IF (LQUERY) THEN
WORK(1) = SROUNDUP_LWORK(LW)
ELSE IF( LQUERY ) THEN
RETURN
END IF
*
* Quick return if possible
*
IF( MIN(M,N,K).EQ.0 ) THEN
IF( MINMNK.EQ.0 ) THEN
RETURN
END IF
*
IF((NB.LE.K).OR.(NB.GE.MAX(M,N,K))) THEN
CALL CGEMLQT( SIDE, TRANS, M, N, K, MB, A, LDA,
$ T, LDT, C, LDC, WORK, INFO)
$ T, LDT, C, LDC, WORK, INFO )
RETURN
END IF
*
@ -404,7 +416,7 @@
*
END IF
*
WORK(1) = SROUNDUP_LWORK(LW)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of CLAMSWLQ

50
lapack-netlib/SRC/clamtsqr.f
View File

@ -129,21 +129,23 @@
*> \param[out] WORK
*> \verbatim
*> (workspace) COMPLEX array, dimension (MAX(1,LWORK))
*>
*> On exit, if INFO = 0, WORK(1) returns the minimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*> If MIN(M,N,K) = 0, LWORK >= 1.
*> If SIDE = 'L', LWORK >= max(1,N*NB).
*> If SIDE = 'R', LWORK >= max(1,MB*NB).
*>
*> If SIDE = 'L', LWORK >= max(1,N)*NB;
*> if SIDE = 'R', LWORK >= max(1,MB)*NB.
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
*> only calculates the minimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
*> message related to LWORK is issued by XERBLA.
*>
*> \endverbatim
*>
*> \param[out] INFO
*> \verbatim
*> INFO is INTEGER
@ -206,7 +208,7 @@
INTEGER INFO, LDA, M, N, K, MB, NB, LDT, LWORK, LDC
* ..
* .. Array Arguments ..
COMPLEX A( LDA, * ), WORK( * ), C(LDC, * ),
COMPLEX A( LDA, * ), WORK( * ), C( LDC, * ),
$ T( LDT, * )
* ..
*
@ -215,12 +217,13 @@
* ..
* .. Local Scalars ..
LOGICAL LEFT, RIGHT, TRAN, NOTRAN, LQUERY
INTEGER I, II, KK, LW, CTR, Q
INTEGER I, II, KK, LW, CTR, Q, MINMNK, LWMIN
* ..
* .. External Functions ..
LOGICAL LSAME
REAL SROUNDUP_LWORK
EXTERNAL LSAME, SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CGEMQRT, CTPMQRT, XERBLA
* ..
@ -228,12 +231,13 @@
*
* Test the input arguments
*
LQUERY = LWORK.LT.0
INFO = 0
LQUERY = ( LWORK.EQ.-1 )
NOTRAN = LSAME( TRANS, 'N' )
TRAN = LSAME( TRANS, 'C' )
LEFT = LSAME( SIDE, 'L' )
RIGHT = LSAME( SIDE, 'R' )
IF (LEFT) THEN
IF( LEFT ) THEN
LW = N * NB
Q = M
ELSE
@ -241,7 +245,13 @@
Q = N
END IF
*
INFO = 0
MINMNK = MIN( M, N, K )
IF( MINMNK.EQ.0 ) THEN
LWMIN = 1
ELSE
LWMIN = MAX( 1, LW )
END IF
*
IF( .NOT.LEFT .AND. .NOT.RIGHT ) THEN
INFO = -1
ELSE IF( .NOT.TRAN .AND. .NOT.NOTRAN ) THEN
@ -256,36 +266,36 @@
INFO = -7
ELSE IF( LDA.LT.MAX( 1, Q ) ) THEN
INFO = -9
ELSE IF( LDT.LT.MAX( 1, NB) ) THEN
ELSE IF( LDT.LT.MAX( 1, NB ) ) THEN
INFO = -11
ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
INFO = -13
ELSE IF(( LWORK.LT.MAX(1,LW)).AND.(.NOT.LQUERY)) THEN
ELSE IF( LWORK.LT.LWMIN .AND. (.NOT.LQUERY) ) THEN
INFO = -15
END IF
*
* Determine the block size if it is tall skinny or short and wide
*
IF( INFO.EQ.0) THEN
WORK(1) = SROUNDUP_LWORK(LW)
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
*
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CLAMTSQR', -INFO )
RETURN
ELSE IF (LQUERY) THEN
ELSE IF( LQUERY ) THEN
RETURN
END IF
*
* Quick return if possible
*
IF( MIN(M,N,K).EQ.0 ) THEN
IF( MINMNK.EQ.0 ) THEN
RETURN
END IF
*
* Determine the block size if it is tall skinny or short and wide
*
IF((MB.LE.K).OR.(MB.GE.MAX(M,N,K))) THEN
CALL CGEMQRT( SIDE, TRANS, M, N, K, NB, A, LDA,
$ T, LDT, C, LDC, WORK, INFO)
$ T, LDT, C, LDC, WORK, INFO )
RETURN
END IF
*
@ -412,7 +422,7 @@
*
END IF
*
WORK(1) = SROUNDUP_LWORK(LW)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of CLAMTSQR

48
lapack-netlib/SRC/claswlq.f
View File

@ -96,22 +96,24 @@
*> The leading dimension of the array T. LDT >= MB.
*> \endverbatim
*>
*>
*> \param[out] WORK
*> \verbatim
*> (workspace) COMPLEX array, dimension (MAX(1,LWORK))
*>
*> On exit, if INFO = 0, WORK(1) returns the minimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK >= MB*M.
*> The dimension of the array WORK.
*> LWORK >= 1, if MIN(M,N) = 0, and LWORK >= MB*M, otherwise.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
*> only calculates the minimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
*> message related to LWORK is issued by XERBLA.
*>
*> \endverbatim
*>
*> \param[out] INFO
*> \verbatim
*> INFO is INTEGER
@ -163,7 +165,7 @@
*>
* =====================================================================
SUBROUTINE CLASWLQ( M, N, MB, NB, A, LDA, T, LDT, WORK, LWORK,
$ INFO)
$ INFO )
*
* -- LAPACK computational routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
@ -173,7 +175,7 @@
INTEGER INFO, LDA, M, N, MB, NB, LWORK, LDT
* ..
* .. Array Arguments ..
COMPLEX A( LDA, * ), WORK( * ), T( LDT, *)
COMPLEX A( LDA, * ), WORK( * ), T( LDT, * )
* ..
*
* =====================================================================
@ -181,15 +183,17 @@
* ..
* .. Local Scalars ..
LOGICAL LQUERY
INTEGER I, II, KK, CTR
INTEGER I, II, KK, CTR, MINMN, LWMIN
* ..
* .. EXTERNAL FUNCTIONS ..
LOGICAL LSAME
INTEGER ILAENV
REAL SROUNDUP_LWORK
EXTERNAL LSAME, ILAENV, SROUNDUP_LWORK
* ..
* .. EXTERNAL SUBROUTINES ..
EXTERNAL CGELQT, CTPLQT, XERBLA
* ..
* .. INTRINSIC FUNCTIONS ..
INTRINSIC MAX, MIN, MOD
* ..
@ -200,12 +204,19 @@
INFO = 0
*
LQUERY = ( LWORK.EQ.-1 )
*
MINMN = MIN( M, N )
IF( MINMN.EQ.0 ) THEN
LWMIN = 1
ELSE
LWMIN = M*MB
END IF
*
IF( M.LT.0 ) THEN
INFO = -1
ELSE IF( N.LT.0 .OR. N.LT.M ) THEN
INFO = -2
ELSE IF( MB.LT.1 .OR. ( MB.GT.M .AND. M.GT.0 )) THEN
ELSE IF( MB.LT.1 .OR. ( MB.GT.M .AND. M.GT.0 ) ) THEN
INFO = -3
ELSE IF( NB.LE.0 ) THEN
INFO = -4
@ -213,35 +224,36 @@
INFO = -6
ELSE IF( LDT.LT.MB ) THEN
INFO = -8
ELSE IF( ( LWORK.LT.M*MB) .AND. (.NOT.LQUERY) ) THEN
ELSE IF( LWORK.LT.LWMIN .AND. (.NOT.LQUERY) ) THEN
INFO = -10
END IF
IF( INFO.EQ.0) THEN
WORK(1) = SROUNDUP_LWORK(MB*M)
*
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
*
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CLASWLQ', -INFO )
RETURN
ELSE IF (LQUERY) THEN
ELSE IF( LQUERY ) THEN
RETURN
END IF
*
* Quick return if possible
*
IF( MIN(M,N).EQ.0 ) THEN
IF( MINMN.EQ.0 ) THEN
RETURN
END IF
*
* The LQ Decomposition
*
IF((M.GE.N).OR.(NB.LE.M).OR.(NB.GE.N)) THEN
IF( (M.GE.N) .OR. (NB.LE.M) .OR. (NB.GE.N) ) THEN
CALL CGELQT( M, N, MB, A, LDA, T, LDT, WORK, INFO)
RETURN
END IF
*
KK = MOD((N-M),(NB-M))
II=N-KK+1
II = N-KK+1
*
* Compute the LQ factorization of the first block A(1:M,1:NB)
*
@ -260,13 +272,13 @@
*
* Compute the QR factorization of the last block A(1:M,II:N)
*
IF (II.LE.N) THEN
IF( II.LE.N ) THEN
CALL CTPLQT( M, KK, 0, MB, A(1,1), LDA, A( 1, II ),
$ LDA, T(1,CTR*M+1), LDT,
$ WORK, INFO )
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(M * MB)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of CLASWLQ

32
lapack-netlib/SRC/clatrs3.f
View File

@ -152,13 +152,17 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is REAL array, dimension (LWORK).
*> WORK is REAL array, dimension (MAX(1,LWORK)).
*> On exit, if INFO = 0, WORK(1) returns the optimal size of
*> WORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK.
*>
*> If MIN(N,NRHS) = 0, LWORK >= 1, else
*> LWORK >= MAX(1, 2*NBA * MAX(NBA, MIN(NRHS, 32)), where
*> NBA = (N + NB - 1)/NB and NB is the optimal block size.
*>
@ -166,6 +170,7 @@
*> only calculates the optimal dimensions of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
*> message related to LWORK is issued by XERBLA.
*> \endverbatim
*>
*> \param[out] INFO
*> \verbatim
@ -182,7 +187,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup doubleOTHERauxiliary
*> \ingroup latrs3
*> \par Further Details:
* =====================
* \verbatim
@ -257,15 +262,16 @@
LOGICAL LQUERY, NOTRAN, NOUNIT, UPPER
INTEGER AWRK, I, IFIRST, IINC, ILAST, II, I1, I2, J,
$ JFIRST, JINC, JLAST, J1, J2, K, KK, K1, K2,
$ LANRM, LDS, LSCALE, NB, NBA, NBX, RHS
$ LANRM, LDS, LSCALE, NB, NBA, NBX, RHS, LWMIN
REAL ANRM, BIGNUM, BNRM, RSCAL, SCAL, SCALOC,
$ SCAMIN, SMLNUM, TMAX
* ..
* .. External Functions ..
LOGICAL LSAME
INTEGER ILAENV
REAL SLAMCH, CLANGE, SLARMM
EXTERNAL ILAENV, LSAME, SLAMCH, CLANGE, SLARMM
REAL SLAMCH, CLANGE, SLARMM, SROUNDUP_LWORK
EXTERNAL ILAENV, LSAME, SLAMCH, CLANGE, SLARMM,
$ SROUNDUP_LWORK
* ..
* .. External Subroutines ..
EXTERNAL CLATRS, CSSCAL, XERBLA
@ -296,15 +302,24 @@
* row. WORK( I + KK * LDS ) is the scale factor of the vector
* segment associated with the I-th block row and the KK-th vector
* in the block column.
*
LSCALE = NBA * MAX( NBA, MIN( NRHS, NBRHS ) )
LDS = NBA
*
* The second part stores upper bounds of the triangular A. There are
* a total of NBA x NBA blocks, of which only the upper triangular
* part or the lower triangular part is referenced. The upper bound of
* the block A( I, J ) is stored as WORK( AWRK + I + J * NBA ).
*
LANRM = NBA * NBA
AWRK = LSCALE
WORK( 1 ) = LSCALE + LANRM
*
IF( MIN( N, NRHS ).EQ.0 ) THEN
LWMIN = 1
ELSE
LWMIN = LSCALE + LANRM
END IF
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
*
* Test the input parameters.
*
@ -326,7 +341,7 @@
INFO = -8
ELSE IF( LDX.LT.MAX( 1, N ) ) THEN
INFO = -10
ELSE IF( .NOT.LQUERY .AND. LWORK.LT.WORK( 1 ) ) THEN
ELSE IF( .NOT.LQUERY .AND. LWORK.LT.LWMIN ) THEN
INFO = -14
END IF
IF( INFO.NE.0 ) THEN
@ -659,6 +674,9 @@
END IF
END DO
END DO
*
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
*
RETURN
*
* End of CLATRS3

47
lapack-netlib/SRC/clatsqr.f
View File

@ -102,14 +102,17 @@
*> \param[out] WORK
*> \verbatim
*> (workspace) COMPLEX array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns the minimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK >= NB*N.
*> The dimension of the array WORK.
*> LWORK >= 1, if MIN(M,N) = 0, and LWORK >= NB*N, otherwise.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
*> only calculates the minimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
*> message related to LWORK is issued by XERBLA.
*> \endverbatim
@ -165,7 +168,7 @@
*>
* =====================================================================
SUBROUTINE CLATSQR( M, N, MB, NB, A, LDA, T, LDT, WORK,
$ LWORK, INFO)
$ LWORK, INFO )
*
* -- LAPACK computational routine --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
@ -175,7 +178,7 @@
INTEGER INFO, LDA, M, N, MB, NB, LDT, LWORK
* ..
* .. Array Arguments ..
COMPLEX A( LDA, * ), WORK( * ), T(LDT, *)
COMPLEX A( LDA, * ), WORK( * ), T( LDT, * )
* ..
*
* =====================================================================
@ -183,14 +186,16 @@
* ..
* .. Local Scalars ..
LOGICAL LQUERY
INTEGER I, II, KK, CTR
INTEGER I, II, KK, CTR, LWMIN, MINMN
* ..
* .. EXTERNAL FUNCTIONS ..
LOGICAL LSAME
REAL SROUNDUP_LWORK
EXTERNAL LSAME, SROUNDUP_LWORK
* ..
* .. EXTERNAL SUBROUTINES ..
EXTERNAL CGEQRT, CTPQRT, XERBLA
* ..
* .. INTRINSIC FUNCTIONS ..
INTRINSIC MAX, MIN, MOD
* ..
@ -201,6 +206,13 @@
INFO = 0
*
LQUERY = ( LWORK.EQ.-1 )
*
MINMN = MIN( M, N )
IF( MINMN.EQ.0 ) THEN
LWMIN = 1
ELSE
LWMIN = N*NB
END IF
*
IF( M.LT.0 ) THEN
INFO = -1
@ -208,46 +220,47 @@
INFO = -2
ELSE IF( MB.LT.1 ) THEN
INFO = -3
ELSE IF( NB.LT.1 .OR. ( NB.GT.N .AND. N.GT.0 )) THEN
ELSE IF( NB.LT.1 .OR. ( NB.GT.N .AND. N.GT.0 ) ) THEN
INFO = -4
ELSE IF( LDA.LT.MAX( 1, M ) ) THEN
INFO = -6
ELSE IF( LDT.LT.NB ) THEN
INFO = -8
ELSE IF( LWORK.LT.(N*NB) .AND. (.NOT.LQUERY) ) THEN
ELSE IF( LWORK.LT.LWMIN .AND. (.NOT.LQUERY) ) THEN
INFO = -10
END IF
IF( INFO.EQ.0) THEN
WORK(1) = SROUNDUP_LWORK(NB*N)
*
IF( INFO.EQ.0 ) THEN
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
IF( INFO.NE.0 ) THEN
CALL XERBLA( 'CLATSQR', -INFO )
RETURN
ELSE IF (LQUERY) THEN
ELSE IF( LQUERY ) THEN
RETURN
END IF
*
* Quick return if possible
*
IF( MIN(M,N).EQ.0 ) THEN
IF( MINMN.EQ.0 ) THEN
RETURN
END IF
*
* The QR Decomposition
*
IF ((MB.LE.N).OR.(MB.GE.M)) THEN
CALL CGEQRT( M, N, NB, A, LDA, T, LDT, WORK, INFO)
IF ( (MB.LE.N) .OR. (MB.GE.M) ) THEN
CALL CGEQRT( M, N, NB, A, LDA, T, LDT, WORK, INFO )
RETURN
END IF
KK = MOD((M-N),(MB-N))
II=M-KK+1
II = M-KK+1
*
* Compute the QR factorization of the first block A(1:MB,1:N)
*
CALL CGEQRT( MB, N, NB, A(1,1), LDA, T, LDT, WORK, INFO )
CTR = 1
*
DO I = MB+1, II-MB+N , (MB-N)
DO I = MB+1, II-MB+N, (MB-N)
*
* Compute the QR factorization of the current block A(I:I+MB-N,1:N)
*
@ -259,13 +272,13 @@
*
* Compute the QR factorization of the last block A(II:M,1:N)
*
IF (II.LE.M) THEN
IF( II.LE.M ) THEN
CALL CTPQRT( KK, N, 0, NB, A(1,1), LDA, A( II, 1 ), LDA,
$ T(1, CTR * N + 1), LDT,
$ WORK, INFO )
END IF
*
WORK( 1 ) = SROUNDUP_LWORK(N*NB)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of CLATSQR

5
lapack-netlib/SRC/dsytrf.f
View File

@ -107,7 +107,7 @@
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The length of WORK. LWORK >=1. For best performance
*> The length of WORK. LWORK >= 1. For best performance
*> LWORK >= N*NB, where NB is the block size returned by ILAENV.
*>
*> If LWORK = -1, then a workspace query is assumed; the routine
@ -135,7 +135,7 @@
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup doubleSYcomputational
*> \ingroup hetrf
*
*> \par Further Details:
* =====================
@ -352,6 +352,7 @@
END IF
*
40 CONTINUE
*
WORK( 1 ) = LWKOPT
RETURN
*

34
lapack-netlib/SRC/ssytrd_sb2st.F
View File

@ -132,15 +132,17 @@
*>
*> \param[out] HOUS
*> \verbatim
*> HOUS is REAL array, dimension LHOUS, that
*> store the Householder representation.
*> HOUS is REAL array, dimension (MAX(1,LHOUS))
*> Stores the Householder representation.
*> \endverbatim
*>
*> \param[in] LHOUS
*> \verbatim
*> LHOUS is INTEGER
*> The dimension of the array HOUS. LHOUS = MAX(1, dimension)
*> If LWORK = -1, or LHOUS=-1,
*> The dimension of the array HOUS.
*> If N = 0 or KD <= 1, LHOUS >= 1, else LHOUS = MAX(1, dimension)
*>
*> If LWORK = -1, or LHOUS = -1,
*> then a query is assumed; the routine
*> only calculates the optimal size of the HOUS array, returns
*> this value as the first entry of the HOUS array, and no error
@ -152,14 +154,17 @@
*>
*> \param[out] WORK
*> \verbatim
*> WORK is REAL array, dimension LWORK.
*> WORK is REAL array, dimension (MAX(1,LWORK))
*> On exit, if INFO = 0, WORK(1) returns optimal LWORK.
*> \endverbatim
*>
*> \param[in] LWORK
*> \verbatim
*> LWORK is INTEGER
*> The dimension of the array WORK. LWORK = MAX(1, dimension)
*> If LWORK = -1, or LHOUS=-1,
*> The dimension of the array WORK.
*> IF N = 0 or KD <= 1, LWORK >= 1, else LWORK = MAX(1, dimension)
*>
*> If LWORK = -1, or LHOUS = -1,
*> then a workspace query is assumed; the routine
*> only calculates the optimal size of the WORK array, returns
*> this value as the first entry of the WORK array, and no error
@ -261,7 +266,7 @@
INTEGER I, M, K, IB, SWEEPID, MYID, SHIFT, STT, ST,
$ ED, STIND, EDIND, BLKLASTIND, COLPT, THED,
$ STEPERCOL, GRSIZ, THGRSIZ, THGRNB, THGRID,
$ NBTILES, TTYPE, TID, NTHREADS, DEBUG,
$ NBTILES, TTYPE, TID, NTHREADS,
$ ABDPOS, ABOFDPOS, DPOS, OFDPOS, AWPOS,
$ INDA, INDW, APOS, SIZEA, LDA, INDV, INDTAU,
$ SISEV, SIZETAU, LDV, LHMIN, LWMIN
@ -283,7 +288,6 @@
* Determine the minimal workspace size required.
* Test the input parameters
*
DEBUG = 0
INFO = 0
AFTERS1 = LSAME( STAGE1, 'Y' )
WANTQ = LSAME( VECT, 'V' )
@ -293,8 +297,13 @@
* Determine the block size, the workspace size and the hous size.
*
IB = ILAENV2STAGE( 2, 'SSYTRD_SB2ST', VECT, N, KD, -1, -1 )
IF( N.EQ.0 .OR. KD.LE.1 ) THEN
LHMIN = 1
LWMIN = 1
ELSE
LHMIN = ILAENV2STAGE( 3, 'SSYTRD_SB2ST', VECT, N, KD, IB, -1 )
LWMIN = ILAENV2STAGE( 4, 'SSYTRD_SB2ST', VECT, N, KD, IB, -1 )
END IF
*
IF( .NOT.AFTERS1 .AND. .NOT.LSAME( STAGE1, 'N' ) ) THEN
INFO = -1
@ -315,8 +324,8 @@
END IF
*
IF( INFO.EQ.0 ) THEN
HOUS( 1 ) = LHMIN
WORK( 1 ) = SROUNDUP_LWORK(LWMIN)
HOUS( 1 ) = SROUNDUP_LWORK( LHMIN )
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
END IF
*
IF( INFO.NE.0 ) THEN
@ -544,8 +553,7 @@
170 CONTINUE
ENDIF
*
HOUS( 1 ) = LHMIN
WORK( 1 ) = SROUNDUP_LWORK(LWMIN)
WORK( 1 ) = SROUNDUP_LWORK( LWMIN )
RETURN
*
* End of SSYTRD_SB2ST