449 lines
16 KiB
Fortran
449 lines
16 KiB
Fortran
*> \brief \b SERRED
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE SERRED( PATH, NUNIT )
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*
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* .. Scalar Arguments ..
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* CHARACTER*3 PATH
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* INTEGER NUNIT
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> SERRED tests the error exits for the eigenvalue driver routines for
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*> REAL matrices:
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*>
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*> PATH driver description
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*> ---- ------ -----------
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*> SEV SGEEV find eigenvalues/eigenvectors for nonsymmetric A
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*> SES SGEES find eigenvalues/Schur form for nonsymmetric A
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*> SVX SGEEVX SGEEV + balancing and condition estimation
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*> SSX SGEESX SGEES + balancing and condition estimation
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*> SBD SGESVD compute SVD of an M-by-N matrix A
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*> SGESDD compute SVD of an M-by-N matrix A (by divide and
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*> conquer)
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*> SGEJSV compute SVD of an M-by-N matrix A where M >= N
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] PATH
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*> \verbatim
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*> PATH is CHARACTER*3
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*> The LAPACK path name for the routines to be tested.
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*> \endverbatim
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*>
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*> \param[in] NUNIT
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*> \verbatim
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*> NUNIT is INTEGER
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*> The unit number for output.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \date November 2011
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*
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*> \ingroup single_eig
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*
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* =====================================================================
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SUBROUTINE SERRED( PATH, NUNIT )
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*
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* -- LAPACK test routine (version 3.4.0) --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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* November 2011
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*
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* .. Scalar Arguments ..
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CHARACTER*3 PATH
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INTEGER NUNIT
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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INTEGER NMAX
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REAL ONE, ZERO
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PARAMETER ( NMAX = 4, ONE = 1.0E0, ZERO = 0.0E0 )
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* ..
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* .. Local Scalars ..
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CHARACTER*2 C2
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INTEGER I, IHI, ILO, INFO, J, NT, SDIM
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REAL ABNRM
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* ..
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* .. Local Arrays ..
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LOGICAL B( NMAX )
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INTEGER IW( 2*NMAX )
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REAL A( NMAX, NMAX ), R1( NMAX ), R2( NMAX ),
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$ S( NMAX ), U( NMAX, NMAX ), VL( NMAX, NMAX ),
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$ VR( NMAX, NMAX ), VT( NMAX, NMAX ),
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$ W( 4*NMAX ), WI( NMAX ), WR( NMAX )
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* ..
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* .. External Subroutines ..
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EXTERNAL CHKXER, SGEES, SGEESX, SGEEV, SGEEVX, SGEJSV,
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$ SGESDD, SGESVD
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* ..
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* .. External Functions ..
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LOGICAL LSAMEN, SSLECT
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EXTERNAL LSAMEN, SSLECT
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC LEN_TRIM
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* ..
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* .. Arrays in Common ..
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LOGICAL SELVAL( 20 )
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REAL SELWI( 20 ), SELWR( 20 )
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* ..
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* .. Scalars in Common ..
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LOGICAL LERR, OK
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CHARACTER*32 SRNAMT
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INTEGER INFOT, NOUT, SELDIM, SELOPT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, NOUT, OK, LERR
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COMMON / SRNAMC / SRNAMT
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COMMON / SSLCT / SELOPT, SELDIM, SELVAL, SELWR, SELWI
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* ..
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* .. Executable Statements ..
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*
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NOUT = NUNIT
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WRITE( NOUT, FMT = * )
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C2 = PATH( 2: 3 )
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*
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* Initialize A
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*
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DO 20 J = 1, NMAX
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DO 10 I = 1, NMAX
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A( I, J ) = ZERO
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10 CONTINUE
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20 CONTINUE
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DO 30 I = 1, NMAX
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A( I, I ) = ONE
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30 CONTINUE
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OK = .TRUE.
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NT = 0
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*
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IF( LSAMEN( 2, C2, 'EV' ) ) THEN
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*
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* Test SGEEV
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*
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SRNAMT = 'SGEEV '
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INFOT = 1
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CALL SGEEV( 'X', 'N', 0, A, 1, WR, WI, VL, 1, VR, 1, W, 1,
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$ INFO )
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CALL CHKXER( 'SGEEV ', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGEEV( 'N', 'X', 0, A, 1, WR, WI, VL, 1, VR, 1, W, 1,
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$ INFO )
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CALL CHKXER( 'SGEEV ', INFOT, NOUT, LERR, OK )
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INFOT = 3
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CALL SGEEV( 'N', 'N', -1, A, 1, WR, WI, VL, 1, VR, 1, W, 1,
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$ INFO )
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CALL CHKXER( 'SGEEV ', INFOT, NOUT, LERR, OK )
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INFOT = 5
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CALL SGEEV( 'N', 'N', 2, A, 1, WR, WI, VL, 1, VR, 1, W, 6,
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$ INFO )
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CALL CHKXER( 'SGEEV ', INFOT, NOUT, LERR, OK )
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INFOT = 9
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CALL SGEEV( 'V', 'N', 2, A, 2, WR, WI, VL, 1, VR, 1, W, 8,
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$ INFO )
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CALL CHKXER( 'SGEEV ', INFOT, NOUT, LERR, OK )
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INFOT = 11
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CALL SGEEV( 'N', 'V', 2, A, 2, WR, WI, VL, 1, VR, 1, W, 8,
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$ INFO )
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CALL CHKXER( 'SGEEV ', INFOT, NOUT, LERR, OK )
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INFOT = 13
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CALL SGEEV( 'V', 'V', 1, A, 1, WR, WI, VL, 1, VR, 1, W, 3,
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$ INFO )
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CALL CHKXER( 'SGEEV ', INFOT, NOUT, LERR, OK )
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NT = NT + 7
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*
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ELSE IF( LSAMEN( 2, C2, 'ES' ) ) THEN
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*
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* Test SGEES
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*
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SRNAMT = 'SGEES '
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INFOT = 1
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CALL SGEES( 'X', 'N', SSLECT, 0, A, 1, SDIM, WR, WI, VL, 1, W,
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$ 1, B, INFO )
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CALL CHKXER( 'SGEES ', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGEES( 'N', 'X', SSLECT, 0, A, 1, SDIM, WR, WI, VL, 1, W,
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$ 1, B, INFO )
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CALL CHKXER( 'SGEES ', INFOT, NOUT, LERR, OK )
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INFOT = 4
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CALL SGEES( 'N', 'S', SSLECT, -1, A, 1, SDIM, WR, WI, VL, 1, W,
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$ 1, B, INFO )
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CALL CHKXER( 'SGEES ', INFOT, NOUT, LERR, OK )
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INFOT = 6
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CALL SGEES( 'N', 'S', SSLECT, 2, A, 1, SDIM, WR, WI, VL, 1, W,
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$ 6, B, INFO )
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CALL CHKXER( 'SGEES ', INFOT, NOUT, LERR, OK )
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INFOT = 11
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CALL SGEES( 'V', 'S', SSLECT, 2, A, 2, SDIM, WR, WI, VL, 1, W,
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$ 6, B, INFO )
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CALL CHKXER( 'SGEES ', INFOT, NOUT, LERR, OK )
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INFOT = 13
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CALL SGEES( 'N', 'S', SSLECT, 1, A, 1, SDIM, WR, WI, VL, 1, W,
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$ 2, B, INFO )
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CALL CHKXER( 'SGEES ', INFOT, NOUT, LERR, OK )
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NT = NT + 6
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*
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ELSE IF( LSAMEN( 2, C2, 'VX' ) ) THEN
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*
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* Test SGEEVX
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*
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SRNAMT = 'SGEEVX'
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INFOT = 1
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CALL SGEEVX( 'X', 'N', 'N', 'N', 0, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 1, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGEEVX( 'N', 'X', 'N', 'N', 0, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 1, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 3
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CALL SGEEVX( 'N', 'N', 'X', 'N', 0, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 1, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 4
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CALL SGEEVX( 'N', 'N', 'N', 'X', 0, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 1, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 5
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CALL SGEEVX( 'N', 'N', 'N', 'N', -1, A, 1, WR, WI, VL, 1, VR,
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$ 1, ILO, IHI, S, ABNRM, R1, R2, W, 1, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 7
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CALL SGEEVX( 'N', 'N', 'N', 'N', 2, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 1, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 11
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CALL SGEEVX( 'N', 'V', 'N', 'N', 2, A, 2, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 6, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 13
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CALL SGEEVX( 'N', 'N', 'V', 'N', 2, A, 2, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 6, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 21
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CALL SGEEVX( 'N', 'N', 'N', 'N', 1, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 1, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 21
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CALL SGEEVX( 'N', 'V', 'N', 'N', 1, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 2, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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INFOT = 21
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CALL SGEEVX( 'N', 'N', 'V', 'V', 1, A, 1, WR, WI, VL, 1, VR, 1,
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$ ILO, IHI, S, ABNRM, R1, R2, W, 3, IW, INFO )
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CALL CHKXER( 'SGEEVX', INFOT, NOUT, LERR, OK )
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NT = NT + 11
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*
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ELSE IF( LSAMEN( 2, C2, 'SX' ) ) THEN
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*
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* Test SGEESX
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*
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SRNAMT = 'SGEESX'
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INFOT = 1
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CALL SGEESX( 'X', 'N', SSLECT, 'N', 0, A, 1, SDIM, WR, WI, VL,
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$ 1, R1( 1 ), R2( 1 ), W, 1, IW, 1, B, INFO )
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CALL CHKXER( 'SGEESX', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGEESX( 'N', 'X', SSLECT, 'N', 0, A, 1, SDIM, WR, WI, VL,
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$ 1, R1( 1 ), R2( 1 ), W, 1, IW, 1, B, INFO )
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CALL CHKXER( 'SGEESX', INFOT, NOUT, LERR, OK )
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INFOT = 4
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CALL SGEESX( 'N', 'N', SSLECT, 'X', 0, A, 1, SDIM, WR, WI, VL,
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$ 1, R1( 1 ), R2( 1 ), W, 1, IW, 1, B, INFO )
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CALL CHKXER( 'SGEESX', INFOT, NOUT, LERR, OK )
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INFOT = 5
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CALL SGEESX( 'N', 'N', SSLECT, 'N', -1, A, 1, SDIM, WR, WI, VL,
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$ 1, R1( 1 ), R2( 1 ), W, 1, IW, 1, B, INFO )
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CALL CHKXER( 'SGEESX', INFOT, NOUT, LERR, OK )
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INFOT = 7
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CALL SGEESX( 'N', 'N', SSLECT, 'N', 2, A, 1, SDIM, WR, WI, VL,
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$ 1, R1( 1 ), R2( 1 ), W, 6, IW, 1, B, INFO )
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CALL CHKXER( 'SGEESX', INFOT, NOUT, LERR, OK )
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INFOT = 12
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CALL SGEESX( 'V', 'N', SSLECT, 'N', 2, A, 2, SDIM, WR, WI, VL,
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$ 1, R1( 1 ), R2( 1 ), W, 6, IW, 1, B, INFO )
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CALL CHKXER( 'SGEESX', INFOT, NOUT, LERR, OK )
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INFOT = 16
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CALL SGEESX( 'N', 'N', SSLECT, 'N', 1, A, 1, SDIM, WR, WI, VL,
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$ 1, R1( 1 ), R2( 1 ), W, 2, IW, 1, B, INFO )
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CALL CHKXER( 'SGEESX', INFOT, NOUT, LERR, OK )
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NT = NT + 7
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*
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ELSE IF( LSAMEN( 2, C2, 'BD' ) ) THEN
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*
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* Test SGESVD
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*
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SRNAMT = 'SGESVD'
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INFOT = 1
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CALL SGESVD( 'X', 'N', 0, 0, A, 1, S, U, 1, VT, 1, W, 1, INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGESVD( 'N', 'X', 0, 0, A, 1, S, U, 1, VT, 1, W, 1, INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGESVD( 'O', 'O', 0, 0, A, 1, S, U, 1, VT, 1, W, 1, INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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INFOT = 3
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CALL SGESVD( 'N', 'N', -1, 0, A, 1, S, U, 1, VT, 1, W, 1,
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$ INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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INFOT = 4
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CALL SGESVD( 'N', 'N', 0, -1, A, 1, S, U, 1, VT, 1, W, 1,
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$ INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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INFOT = 6
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CALL SGESVD( 'N', 'N', 2, 1, A, 1, S, U, 1, VT, 1, W, 5, INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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INFOT = 9
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CALL SGESVD( 'A', 'N', 2, 1, A, 2, S, U, 1, VT, 1, W, 5, INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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INFOT = 11
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CALL SGESVD( 'N', 'A', 1, 2, A, 1, S, U, 1, VT, 1, W, 5, INFO )
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CALL CHKXER( 'SGESVD', INFOT, NOUT, LERR, OK )
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NT = 8
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IF( OK ) THEN
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WRITE( NOUT, FMT = 9999 )SRNAMT( 1:LEN_TRIM( SRNAMT ) ),
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$ NT
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ELSE
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WRITE( NOUT, FMT = 9998 )
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END IF
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*
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* Test SGESDD
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*
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SRNAMT = 'SGESDD'
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INFOT = 1
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CALL SGESDD( 'X', 0, 0, A, 1, S, U, 1, VT, 1, W, 1, IW, INFO )
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CALL CHKXER( 'SGESDD', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGESDD( 'N', -1, 0, A, 1, S, U, 1, VT, 1, W, 1, IW, INFO )
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CALL CHKXER( 'SGESDD', INFOT, NOUT, LERR, OK )
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INFOT = 3
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CALL SGESDD( 'N', 0, -1, A, 1, S, U, 1, VT, 1, W, 1, IW, INFO )
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CALL CHKXER( 'SGESDD', INFOT, NOUT, LERR, OK )
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INFOT = 5
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CALL SGESDD( 'N', 2, 1, A, 1, S, U, 1, VT, 1, W, 5, IW, INFO )
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CALL CHKXER( 'SGESDD', INFOT, NOUT, LERR, OK )
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INFOT = 8
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CALL SGESDD( 'A', 2, 1, A, 2, S, U, 1, VT, 1, W, 5, IW, INFO )
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CALL CHKXER( 'SGESDD', INFOT, NOUT, LERR, OK )
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INFOT = 10
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CALL SGESDD( 'A', 1, 2, A, 1, S, U, 1, VT, 1, W, 5, IW, INFO )
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CALL CHKXER( 'SGESDD', INFOT, NOUT, LERR, OK )
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NT = 6
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IF( OK ) THEN
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WRITE( NOUT, FMT = 9999 )SRNAMT( 1:LEN_TRIM( SRNAMT ) ),
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$ NT
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ELSE
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WRITE( NOUT, FMT = 9998 )
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END IF
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*
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* Test SGEJSV
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*
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SRNAMT = 'SGEJSV'
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INFOT = 1
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CALL SGEJSV( 'X', 'U', 'V', 'R', 'N', 'N',
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$ 0, 0, A, 1, S, U, 1, VT, 1,
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$ W, 1, IW, INFO)
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CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
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INFOT = 2
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CALL SGEJSV( 'G', 'X', 'V', 'R', 'N', 'N',
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$ 0, 0, A, 1, S, U, 1, VT, 1,
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$ W, 1, IW, INFO)
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CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
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INFOT = 3
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CALL SGEJSV( 'G', 'U', 'X', 'R', 'N', 'N',
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$ 0, 0, A, 1, S, U, 1, VT, 1,
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$ W, 1, IW, INFO)
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CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
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INFOT = 4
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CALL SGEJSV( 'G', 'U', 'V', 'X', 'N', 'N',
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$ 0, 0, A, 1, S, U, 1, VT, 1,
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$ W, 1, IW, INFO)
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CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
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INFOT = 5
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CALL SGEJSV( 'G', 'U', 'V', 'R', 'X', 'N',
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$ 0, 0, A, 1, S, U, 1, VT, 1,
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$ W, 1, IW, INFO)
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CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
|
|
INFOT = 6
|
|
CALL SGEJSV( 'G', 'U', 'V', 'R', 'N', 'X',
|
|
$ 0, 0, A, 1, S, U, 1, VT, 1,
|
|
$ W, 1, IW, INFO)
|
|
CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
|
|
INFOT = 7
|
|
CALL SGEJSV( 'G', 'U', 'V', 'R', 'N', 'N',
|
|
$ -1, 0, A, 1, S, U, 1, VT, 1,
|
|
$ W, 1, IW, INFO)
|
|
CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
|
|
INFOT = 8
|
|
CALL SGEJSV( 'G', 'U', 'V', 'R', 'N', 'N',
|
|
$ 0, -1, A, 1, S, U, 1, VT, 1,
|
|
$ W, 1, IW, INFO)
|
|
CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
|
|
INFOT = 10
|
|
CALL SGEJSV( 'G', 'U', 'V', 'R', 'N', 'N',
|
|
$ 2, 1, A, 1, S, U, 1, VT, 1,
|
|
$ W, 1, IW, INFO)
|
|
CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
|
|
INFOT = 13
|
|
CALL SGEJSV( 'G', 'U', 'V', 'R', 'N', 'N',
|
|
$ 2, 2, A, 2, S, U, 1, VT, 2,
|
|
$ W, 1, IW, INFO)
|
|
CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
|
|
INFOT = 14
|
|
CALL SGEJSV( 'G', 'U', 'V', 'R', 'N', 'N',
|
|
$ 2, 2, A, 2, S, U, 2, VT, 1,
|
|
$ W, 1, IW, INFO)
|
|
CALL CHKXER( 'SGEJSV', INFOT, NOUT, LERR, OK )
|
|
NT = 11
|
|
IF( OK ) THEN
|
|
WRITE( NOUT, FMT = 9999 )SRNAMT( 1:LEN_TRIM( SRNAMT ) ),
|
|
$ NT
|
|
ELSE
|
|
WRITE( NOUT, FMT = 9998 )
|
|
END IF
|
|
END IF
|
|
*
|
|
* Print a summary line.
|
|
*
|
|
IF( .NOT.LSAMEN( 2, C2, 'BD' ) ) THEN
|
|
IF( OK ) THEN
|
|
WRITE( NOUT, FMT = 9999 )SRNAMT( 1:LEN_TRIM( SRNAMT ) ),
|
|
$ NT
|
|
ELSE
|
|
WRITE( NOUT, FMT = 9998 )
|
|
END IF
|
|
END IF
|
|
*
|
|
9999 FORMAT( 1X, A, ' passed the tests of the error exits (', I3,
|
|
$ ' tests done)' )
|
|
9998 FORMAT( ' *** ', A, ' failed the tests of the error exits ***' )
|
|
RETURN
|
|
*
|
|
* End of SERRED
|
|
*
|
|
END
|