version 1.3, 2016/08/27 15:34:48
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version 1.9, 2023/08/07 08:39:22
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* |
* |
* =========== DOCUMENTATION =========== |
* =========== DOCUMENTATION =========== |
* |
* |
* Online html documentation available at |
* Online html documentation available at |
* http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
* |
* |
*> \htmlonly |
*> \htmlonly |
*> Download ZGSVJ1 + dependencies |
*> Download ZGSVJ1 + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dgsvj1.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgsvj1.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dgsvj1.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgsvj1.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dgsvj1.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgsvj1.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZGSVJ1( JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, |
* SUBROUTINE ZGSVJ1( JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, |
* EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO ) |
* EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* DOUBLE PRECISION EPS, SFMIN, TOL |
* DOUBLE PRECISION EPS, SFMIN, TOL |
* INTEGER INFO, LDA, LDV, LWORK, M, MV, N, N1, NSWEEP |
* INTEGER INFO, LDA, LDV, LWORK, M, MV, N, N1, NSWEEP |
* CHARACTER*1 JOBV |
* CHARACTER*1 JOBV |
* .. |
* .. |
* .. Array Arguments .. |
* .. Array Arguments .. |
* COMPLEX*16 A( LDA, * ), D( N ), V( LDV, * ), WORK( LWORK ) |
* COMPLEX*16 A( LDA, * ), D( N ), V( LDV, * ), WORK( LWORK ) |
* DOUBLE PRECISION SVA( N ) |
* DOUBLE PRECISION SVA( N ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> ZGSVJ1 is called from ZGESVJ as a pre-processor and that is its main |
*> ZGSVJ1 is called from ZGESVJ as a pre-processor and that is its main |
*> purpose. It applies Jacobi rotations in the same way as ZGESVJ does, but |
*> purpose. It applies Jacobi rotations in the same way as ZGESVJ does, but |
*> it targets only particular pivots and it does not check convergence |
*> it targets only particular pivots and it does not check convergence |
*> (stopping criterion). Few tunning parameters (marked by [TP]) are |
*> (stopping criterion). Few tuning parameters (marked by [TP]) are |
*> available for the implementer. |
*> available for the implementer. |
*> |
*> |
*> Further Details |
*> Further Details |
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*> In terms of the columns of A, the first N1 columns are rotated 'against' |
*> In terms of the columns of A, the first N1 columns are rotated 'against' |
*> the remaining N-N1 columns, trying to increase the angle between the |
*> the remaining N-N1 columns, trying to increase the angle between the |
*> corresponding subspaces. The off-diagonal block is N1-by(N-N1) and it is |
*> corresponding subspaces. The off-diagonal block is N1-by(N-N1) and it is |
*> tiled using quadratic tiles of side KBL. Here, KBL is a tunning parmeter. |
*> tiled using quadratic tiles of side KBL. Here, KBL is a tuning parameter. |
*> The number of sweeps is given in NSWEEP and the orthogonality threshold |
*> The number of sweeps is given in NSWEEP and the orthogonality threshold |
*> is given in TOL. |
*> is given in TOL. |
*> \endverbatim |
*> \endverbatim |
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*> \param[in] MV |
*> \param[in] MV |
*> \verbatim |
*> \verbatim |
*> MV is INTEGER |
*> MV is INTEGER |
*> If JOBV .EQ. 'A', then MV rows of V are post-multipled by a |
*> If JOBV = 'A', then MV rows of V are post-multipled by a |
*> sequence of Jacobi rotations. |
*> sequence of Jacobi rotations. |
*> If JOBV = 'N', then MV is not referenced. |
*> If JOBV = 'N', then MV is not referenced. |
*> \endverbatim |
*> \endverbatim |
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*> \param[in,out] V |
*> \param[in,out] V |
*> \verbatim |
*> \verbatim |
*> V is COMPLEX*16 array, dimension (LDV,N) |
*> V is COMPLEX*16 array, dimension (LDV,N) |
*> If JOBV .EQ. 'V' then N rows of V are post-multipled by a |
*> If JOBV = 'V' then N rows of V are post-multipled by a |
*> sequence of Jacobi rotations. |
*> sequence of Jacobi rotations. |
*> If JOBV .EQ. 'A' then MV rows of V are post-multipled by a |
*> If JOBV = 'A' then MV rows of V are post-multipled by a |
*> sequence of Jacobi rotations. |
*> sequence of Jacobi rotations. |
*> If JOBV = 'N', then V is not referenced. |
*> If JOBV = 'N', then V is not referenced. |
*> \endverbatim |
*> \endverbatim |
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*> \verbatim |
*> \verbatim |
*> LDV is INTEGER |
*> LDV is INTEGER |
*> The leading dimension of the array V, LDV >= 1. |
*> The leading dimension of the array V, LDV >= 1. |
*> If JOBV = 'V', LDV .GE. N. |
*> If JOBV = 'V', LDV >= N. |
*> If JOBV = 'A', LDV .GE. MV. |
*> If JOBV = 'A', LDV >= MV. |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[in] EPS |
*> \param[in] EPS |
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*> TOL is DOUBLE PRECISION |
*> TOL is DOUBLE PRECISION |
*> TOL is the threshold for Jacobi rotations. For a pair |
*> TOL is the threshold for Jacobi rotations. For a pair |
*> A(:,p), A(:,q) of pivot columns, the Jacobi rotation is |
*> A(:,p), A(:,q) of pivot columns, the Jacobi rotation is |
*> applied only if ABS(COS(angle(A(:,p),A(:,q)))) .GT. TOL. |
*> applied only if ABS(COS(angle(A(:,p),A(:,q)))) > TOL. |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[in] NSWEEP |
*> \param[in] NSWEEP |
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*> \param[in] LWORK |
*> \param[in] LWORK |
*> \verbatim |
*> \verbatim |
*> LWORK is INTEGER |
*> LWORK is INTEGER |
*> LWORK is the dimension of WORK. LWORK .GE. M. |
*> LWORK is the dimension of WORK. LWORK >= M. |
*> \endverbatim |
*> \endverbatim |
*> |
*> |
*> \param[out] INFO |
*> \param[out] INFO |
*> \verbatim |
*> \verbatim |
*> INFO is INTEGER |
*> INFO is INTEGER |
*> = 0 : successful exit. |
*> = 0: successful exit. |
*> < 0 : if INFO = -i, then the i-th argument had an illegal value |
*> < 0: if INFO = -i, then the i-th argument had an illegal value |
*> \endverbatim |
*> \endverbatim |
* |
* |
* Authors: |
* Authors: |
* ======== |
* ======== |
* |
* |
*> \author Univ. of Tennessee |
*> \author Univ. of Tennessee |
*> \author Univ. of California Berkeley |
*> \author Univ. of California Berkeley |
*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
|
*> \date June 2016 |
|
* |
* |
*> \ingroup complex16OTHERcomputational |
*> \ingroup complex16OTHERcomputational |
* |
* |
*> \par Contributors: |
*> \par Contributor: |
* ================== |
* ================== |
*> |
*> |
*> Zlatko Drmac (Zagreb, Croatia) and Kresimir Veselic (Hagen, Germany) |
*> Zlatko Drmac (Zagreb, Croatia) |
* |
* |
* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZGSVJ1( JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, |
SUBROUTINE ZGSVJ1( JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, |
$ EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO ) |
$ EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO ) |
* |
* |
* -- LAPACK computational routine (version 3.6.1) -- |
* -- LAPACK computational routine -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* June 2016 |
|
* |
* |
IMPLICIT NONE |
IMPLICIT NONE |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
DOUBLE PRECISION EPS, SFMIN, TOL |
DOUBLE PRECISION EPS, SFMIN, TOL |
INTEGER INFO, LDA, LDV, LWORK, M, MV, N, N1, NSWEEP |
INTEGER INFO, LDA, LDV, LWORK, M, MV, N, N1, NSWEEP |
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* .. |
* .. |
* .. Array Arguments .. |
* .. Array Arguments .. |
COMPLEX*16 A( LDA, * ), D( N ), V( LDV, * ), WORK( LWORK ) |
COMPLEX*16 A( LDA, * ), D( N ), V( LDV, * ), WORK( LWORK ) |
DOUBLE PRECISION SVA( N ) |
DOUBLE PRECISION SVA( N ) |
* .. |
* .. |
* |
* |
* ===================================================================== |
* ===================================================================== |
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* .. Local Scalars .. |
* .. Local Scalars .. |
COMPLEX*16 AAPQ, OMPQ |
COMPLEX*16 AAPQ, OMPQ |
DOUBLE PRECISION AAPP, AAPP0, AAPQ1, AAQQ, APOAQ, AQOAP, BIG, |
DOUBLE PRECISION AAPP, AAPP0, AAPQ1, AAQQ, APOAQ, AQOAP, BIG, |
$ BIGTHETA, CS, LARGE, MXAAPQ, MXSINJ, ROOTBIG, |
$ BIGTHETA, CS, MXAAPQ, MXSINJ, ROOTBIG, |
$ ROOTEPS, ROOTSFMIN, ROOTTOL, SMALL, SN, T, |
$ ROOTEPS, ROOTSFMIN, ROOTTOL, SMALL, SN, T, |
$ TEMP1, THETA, THSIGN |
$ TEMP1, THETA, THSIGN |
INTEGER BLSKIP, EMPTSW, i, ibr, igl, IERR, IJBLSK, |
INTEGER BLSKIP, EMPTSW, i, ibr, igl, IERR, IJBLSK, |
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* .. |
* .. |
* .. |
* .. |
* .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
INTRINSIC ABS, DCONJG, DMAX1, DBLE, MIN0, DSIGN, DSQRT |
INTRINSIC ABS, CONJG, MAX, DBLE, MIN, SIGN, SQRT |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
DOUBLE PRECISION DZNRM2 |
DOUBLE PRECISION DZNRM2 |
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EXTERNAL IDAMAX, LSAME, ZDOTC, DZNRM2 |
EXTERNAL IDAMAX, LSAME, ZDOTC, DZNRM2 |
* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
* .. from BLAS |
* .. from BLAS |
EXTERNAL ZCOPY, ZROT, ZSWAP |
EXTERNAL ZCOPY, ZROT, ZSWAP, ZAXPY |
* .. from LAPACK |
* .. from LAPACK |
EXTERNAL ZLASCL, ZLASSQ, XERBLA |
EXTERNAL ZLASCL, ZLASSQ, XERBLA |
* .. |
* .. |
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INFO = -6 |
INFO = -6 |
ELSE IF( ( RSVEC.OR.APPLV ) .AND. ( MV.LT.0 ) ) THEN |
ELSE IF( ( RSVEC.OR.APPLV ) .AND. ( MV.LT.0 ) ) THEN |
INFO = -9 |
INFO = -9 |
ELSE IF( ( RSVEC.AND.( LDV.LT.N ) ).OR. |
ELSE IF( ( RSVEC.AND.( LDV.LT.N ) ).OR. |
$ ( APPLV.AND.( LDV.LT.MV ) ) ) THEN |
$ ( APPLV.AND.( LDV.LT.MV ) ) ) THEN |
INFO = -11 |
INFO = -11 |
ELSE IF( TOL.LE.EPS ) THEN |
ELSE IF( TOL.LE.EPS ) THEN |
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END IF |
END IF |
RSVEC = RSVEC .OR. APPLV |
RSVEC = RSVEC .OR. APPLV |
|
|
ROOTEPS = DSQRT( EPS ) |
ROOTEPS = SQRT( EPS ) |
ROOTSFMIN = DSQRT( SFMIN ) |
ROOTSFMIN = SQRT( SFMIN ) |
SMALL = SFMIN / EPS |
SMALL = SFMIN / EPS |
BIG = ONE / SFMIN |
BIG = ONE / SFMIN |
ROOTBIG = ONE / ROOTSFMIN |
ROOTBIG = ONE / ROOTSFMIN |
LARGE = BIG / DSQRT( DBLE( M*N ) ) |
* LARGE = BIG / SQRT( DBLE( M*N ) ) |
BIGTHETA = ONE / ROOTEPS |
BIGTHETA = ONE / ROOTEPS |
ROOTTOL = DSQRT( TOL ) |
ROOTTOL = SQRT( TOL ) |
* |
* |
* .. Initialize the right singular vector matrix .. |
* .. Initialize the right singular vector matrix .. |
* |
* |
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* |
* |
* .. Row-cyclic pivot strategy with de Rijk's pivoting .. |
* .. Row-cyclic pivot strategy with de Rijk's pivoting .. |
* |
* |
KBL = MIN0( 8, N ) |
KBL = MIN( 8, N ) |
NBLR = N1 / KBL |
NBLR = N1 / KBL |
IF( ( NBLR*KBL ).NE.N1 )NBLR = NBLR + 1 |
IF( ( NBLR*KBL ).NE.N1 )NBLR = NBLR + 1 |
|
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BLSKIP = ( KBL**2 ) + 1 |
BLSKIP = ( KBL**2 ) + 1 |
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL. |
*[TP] BLKSKIP is a tuning parameter that depends on SWBAND and KBL. |
|
|
ROWSKIP = MIN0( 5, KBL ) |
ROWSKIP = MIN( 5, KBL ) |
*[TP] ROWSKIP is a tuning parameter. |
*[TP] ROWSKIP is a tuning parameter. |
SWBAND = 0 |
SWBAND = 0 |
*[TP] SWBAND is a tuning parameter. It is meaningful and effective |
*[TP] SWBAND is a tuning parameter. It is meaningful and effective |
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igl = ( ibr-1 )*KBL + 1 |
igl = ( ibr-1 )*KBL + 1 |
* |
* |
* DO 2010 jbc = ibr + 1, NBL |
* DO 2010 jbc = ibr + 1, NBL |
DO 2010 jbc = 1, NBLC |
DO 2010 jbc = 1, NBLC |
* |
* |
jgl = ( jbc-1 )*KBL + N1 + 1 |
jgl = ( jbc-1 )*KBL + N1 + 1 |
* |
* |
* doing the block at ( ibr, jbc ) |
* doing the block at ( ibr, jbc ) |
* |
* |
IJBLSK = 0 |
IJBLSK = 0 |
DO 2100 p = igl, MIN0( igl+KBL-1, N1 ) |
DO 2100 p = igl, MIN( igl+KBL-1, N1 ) |
* |
* |
AAPP = SVA( p ) |
AAPP = SVA( p ) |
IF( AAPP.GT.ZERO ) THEN |
IF( AAPP.GT.ZERO ) THEN |
* |
* |
PSKIPPED = 0 |
PSKIPPED = 0 |
* |
* |
DO 2200 q = jgl, MIN0( jgl+KBL-1, N ) |
DO 2200 q = jgl, MIN( jgl+KBL-1, N ) |
* |
* |
AAQQ = SVA( q ) |
AAQQ = SVA( q ) |
IF( AAQQ.GT.ZERO ) THEN |
IF( AAQQ.GT.ZERO ) THEN |
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ROTOK = ( SMALL*AAQQ ).LE.AAPP |
ROTOK = ( SMALL*AAQQ ).LE.AAPP |
END IF |
END IF |
IF( AAPP.LT.( BIG / AAQQ ) ) THEN |
IF( AAPP.LT.( BIG / AAQQ ) ) THEN |
AAPQ = ( ZDOTC( M, A( 1, p ), 1, |
AAPQ = ( ZDOTC( M, A( 1, p ), 1, |
$ A( 1, q ), 1 ) / AAQQ ) / AAPP |
$ A( 1, q ), 1 ) / AAQQ ) / AAPP |
ELSE |
ELSE |
CALL ZCOPY( M, A( 1, p ), 1, |
CALL ZCOPY( M, A( 1, p ), 1, |
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ROTOK = AAQQ.LE.( AAPP / SMALL ) |
ROTOK = AAQQ.LE.( AAPP / SMALL ) |
END IF |
END IF |
IF( AAPP.GT.( SMALL / AAQQ ) ) THEN |
IF( AAPP.GT.( SMALL / AAQQ ) ) THEN |
AAPQ = ( ZDOTC( M, A( 1, p ), 1, |
AAPQ = ( ZDOTC( M, A( 1, p ), 1, |
$ A( 1, q ), 1 ) / AAQQ ) / AAPP |
$ A( 1, q ), 1 ) / MAX(AAQQ,AAPP) ) |
|
$ / MIN(AAQQ,AAPP) |
ELSE |
ELSE |
CALL ZCOPY( M, A( 1, q ), 1, |
CALL ZCOPY( M, A( 1, q ), 1, |
$ WORK, 1 ) |
$ WORK, 1 ) |
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END IF |
END IF |
END IF |
END IF |
* |
* |
OMPQ = AAPQ / ABS(AAPQ) |
* AAPQ = AAPQ * CONJG(CWORK(p))*CWORK(q) |
* AAPQ = AAPQ * DCONJG(CWORK(p))*CWORK(q) |
|
AAPQ1 = -ABS(AAPQ) |
AAPQ1 = -ABS(AAPQ) |
MXAAPQ = DMAX1( MXAAPQ, -AAPQ1 ) |
MXAAPQ = MAX( MXAAPQ, -AAPQ1 ) |
* |
* |
* TO rotate or NOT to rotate, THAT is the question ... |
* TO rotate or NOT to rotate, THAT is the question ... |
* |
* |
IF( ABS( AAPQ1 ).GT.TOL ) THEN |
IF( ABS( AAPQ1 ).GT.TOL ) THEN |
|
OMPQ = AAPQ / ABS(AAPQ) |
NOTROT = 0 |
NOTROT = 0 |
*[RTD] ROTATED = ROTATED + 1 |
*[RTD] ROTATED = ROTATED + 1 |
PSKIPPED = 0 |
PSKIPPED = 0 |
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* |
* |
IF( ABS( THETA ).GT.BIGTHETA ) THEN |
IF( ABS( THETA ).GT.BIGTHETA ) THEN |
T = HALF / THETA |
T = HALF / THETA |
CS = ONE |
CS = ONE |
CALL ZROT( M, A(1,p), 1, A(1,q), 1, |
CALL ZROT( M, A(1,p), 1, A(1,q), 1, |
$ CS, DCONJG(OMPQ)*T ) |
$ CS, CONJG(OMPQ)*T ) |
IF( RSVEC ) THEN |
IF( RSVEC ) THEN |
CALL ZROT( MVL, V(1,p), 1, |
CALL ZROT( MVL, V(1,p), 1, |
$ V(1,q), 1, CS, DCONJG(OMPQ)*T ) |
$ V(1,q), 1, CS, CONJG(OMPQ)*T ) |
END IF |
END IF |
SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO, |
SVA( q ) = AAQQ*SQRT( MAX( ZERO, |
$ ONE+T*APOAQ*AAPQ1 ) ) |
$ ONE+T*APOAQ*AAPQ1 ) ) |
AAPP = AAPP*DSQRT( DMAX1( ZERO, |
AAPP = AAPP*SQRT( MAX( ZERO, |
$ ONE-T*AQOAP*AAPQ1 ) ) |
$ ONE-T*AQOAP*AAPQ1 ) ) |
MXSINJ = DMAX1( MXSINJ, ABS( T ) ) |
MXSINJ = MAX( MXSINJ, ABS( T ) ) |
ELSE |
ELSE |
* |
* |
* .. choose correct signum for THETA and rotate |
* .. choose correct signum for THETA and rotate |
* |
* |
THSIGN = -DSIGN( ONE, AAPQ1 ) |
THSIGN = -SIGN( ONE, AAPQ1 ) |
IF( AAQQ.GT.AAPP0 )THSIGN = -THSIGN |
IF( AAQQ.GT.AAPP0 )THSIGN = -THSIGN |
T = ONE / ( THETA+THSIGN* |
T = ONE / ( THETA+THSIGN* |
$ DSQRT( ONE+THETA*THETA ) ) |
$ SQRT( ONE+THETA*THETA ) ) |
CS = DSQRT( ONE / ( ONE+T*T ) ) |
CS = SQRT( ONE / ( ONE+T*T ) ) |
SN = T*CS |
SN = T*CS |
MXSINJ = DMAX1( MXSINJ, ABS( SN ) ) |
MXSINJ = MAX( MXSINJ, ABS( SN ) ) |
SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO, |
SVA( q ) = AAQQ*SQRT( MAX( ZERO, |
$ ONE+T*APOAQ*AAPQ1 ) ) |
$ ONE+T*APOAQ*AAPQ1 ) ) |
AAPP = AAPP*DSQRT( DMAX1( ZERO, |
AAPP = AAPP*SQRT( MAX( ZERO, |
$ ONE-T*AQOAP*AAPQ1 ) ) |
$ ONE-T*AQOAP*AAPQ1 ) ) |
* |
* |
CALL ZROT( M, A(1,p), 1, A(1,q), 1, |
CALL ZROT( M, A(1,p), 1, A(1,q), 1, |
$ CS, DCONJG(OMPQ)*SN ) |
$ CS, CONJG(OMPQ)*SN ) |
IF( RSVEC ) THEN |
IF( RSVEC ) THEN |
CALL ZROT( MVL, V(1,p), 1, |
CALL ZROT( MVL, V(1,p), 1, |
$ V(1,q), 1, CS, DCONJG(OMPQ)*SN ) |
$ V(1,q), 1, CS, CONJG(OMPQ)*SN ) |
END IF |
END IF |
END IF |
END IF |
D(p) = -D(q) * OMPQ |
D(p) = -D(q) * OMPQ |
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CALL ZLASCL( 'G', 0, 0, ONE, AAQQ, |
CALL ZLASCL( 'G', 0, 0, ONE, AAQQ, |
$ M, 1, A( 1, q ), LDA, |
$ M, 1, A( 1, q ), LDA, |
$ IERR ) |
$ IERR ) |
SVA( q ) = AAQQ*DSQRT( DMAX1( ZERO, |
SVA( q ) = AAQQ*SQRT( MAX( ZERO, |
$ ONE-AAPQ1*AAPQ1 ) ) |
$ ONE-AAPQ1*AAPQ1 ) ) |
MXSINJ = DMAX1( MXSINJ, SFMIN ) |
MXSINJ = MAX( MXSINJ, SFMIN ) |
ELSE |
ELSE |
CALL ZCOPY( M, A( 1, q ), 1, |
CALL ZCOPY( M, A( 1, q ), 1, |
$ WORK, 1 ) |
$ WORK, 1 ) |
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CALL ZLASCL( 'G', 0, 0, AAPP, ONE, |
CALL ZLASCL( 'G', 0, 0, AAPP, ONE, |
$ M, 1, A( 1, p ), LDA, |
$ M, 1, A( 1, p ), LDA, |
$ IERR ) |
$ IERR ) |
CALL ZAXPY( M, -DCONJG(AAPQ), |
CALL ZAXPY( M, -CONJG(AAPQ), |
$ WORK, 1, A( 1, p ), 1 ) |
$ WORK, 1, A( 1, p ), 1 ) |
CALL ZLASCL( 'G', 0, 0, ONE, AAPP, |
CALL ZLASCL( 'G', 0, 0, ONE, AAPP, |
$ M, 1, A( 1, p ), LDA, |
$ M, 1, A( 1, p ), LDA, |
$ IERR ) |
$ IERR ) |
SVA( p ) = AAPP*DSQRT( DMAX1( ZERO, |
SVA( p ) = AAPP*SQRT( MAX( ZERO, |
$ ONE-AAPQ1*AAPQ1 ) ) |
$ ONE-AAPQ1*AAPQ1 ) ) |
MXSINJ = DMAX1( MXSINJ, SFMIN ) |
MXSINJ = MAX( MXSINJ, SFMIN ) |
END IF |
END IF |
END IF |
END IF |
* END IF ROTOK THEN ... ELSE |
* END IF ROTOK THEN ... ELSE |
Line 575
|
Line 573
|
AAQQ = ONE |
AAQQ = ONE |
CALL ZLASSQ( M, A( 1, q ), 1, T, |
CALL ZLASSQ( M, A( 1, q ), 1, T, |
$ AAQQ ) |
$ AAQQ ) |
SVA( q ) = T*DSQRT( AAQQ ) |
SVA( q ) = T*SQRT( AAQQ ) |
END IF |
END IF |
END IF |
END IF |
IF( ( AAPP / AAPP0 )**2.LE.ROOTEPS ) THEN |
IF( ( AAPP / AAPP0 )**2.LE.ROOTEPS ) THEN |
Line 587
|
Line 585
|
AAPP = ONE |
AAPP = ONE |
CALL ZLASSQ( M, A( 1, p ), 1, T, |
CALL ZLASSQ( M, A( 1, p ), 1, T, |
$ AAPP ) |
$ AAPP ) |
AAPP = T*DSQRT( AAPP ) |
AAPP = T*SQRT( AAPP ) |
END IF |
END IF |
SVA( p ) = AAPP |
SVA( p ) = AAPP |
END IF |
END IF |
Line 626
|
Line 624
|
ELSE |
ELSE |
* |
* |
IF( AAPP.EQ.ZERO )NOTROT = NOTROT + |
IF( AAPP.EQ.ZERO )NOTROT = NOTROT + |
$ MIN0( jgl+KBL-1, N ) - jgl + 1 |
$ MIN( jgl+KBL-1, N ) - jgl + 1 |
IF( AAPP.LT.ZERO )NOTROT = 0 |
IF( AAPP.LT.ZERO )NOTROT = 0 |
* |
* |
END IF |
END IF |
Line 637
|
Line 635
|
* end of the jbc-loop |
* end of the jbc-loop |
2011 CONTINUE |
2011 CONTINUE |
*2011 bailed out of the jbc-loop |
*2011 bailed out of the jbc-loop |
DO 2012 p = igl, MIN0( igl+KBL-1, N ) |
DO 2012 p = igl, MIN( igl+KBL-1, N ) |
SVA( p ) = ABS( SVA( p ) ) |
SVA( p ) = ABS( SVA( p ) ) |
2012 CONTINUE |
2012 CONTINUE |
*** |
*** |
Line 652
|
Line 650
|
T = ZERO |
T = ZERO |
AAPP = ONE |
AAPP = ONE |
CALL ZLASSQ( M, A( 1, N ), 1, T, AAPP ) |
CALL ZLASSQ( M, A( 1, N ), 1, T, AAPP ) |
SVA( N ) = T*DSQRT( AAPP ) |
SVA( N ) = T*SQRT( AAPP ) |
END IF |
END IF |
* |
* |
* Additional steering devices |
* Additional steering devices |
Line 660
|
Line 658
|
IF( ( i.LT.SWBAND ) .AND. ( ( MXAAPQ.LE.ROOTTOL ) .OR. |
IF( ( i.LT.SWBAND ) .AND. ( ( MXAAPQ.LE.ROOTTOL ) .OR. |
$ ( ISWROT.LE.N ) ) )SWBAND = i |
$ ( ISWROT.LE.N ) ) )SWBAND = i |
* |
* |
IF( ( i.GT.SWBAND+1 ) .AND. ( MXAAPQ.LT.DSQRT( DBLE( N ) )* |
IF( ( i.GT.SWBAND+1 ) .AND. ( MXAAPQ.LT.SQRT( DBLE( N ) )* |
$ TOL ) .AND. ( DBLE( N )*MXAAPQ*MXSINJ.LT.TOL ) ) THEN |
$ TOL ) .AND. ( DBLE( N )*MXAAPQ*MXSINJ.LT.TOL ) ) THEN |
GO TO 1994 |
GO TO 1994 |
END IF |
END IF |