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693 lines
24 KiB
693 lines
24 KiB
2 years ago
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*> \brief \b ZDRVPB
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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 ZDRVPB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
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* A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
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* RWORK, NOUT )
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*
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* .. Scalar Arguments ..
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* LOGICAL TSTERR
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* INTEGER NMAX, NN, NOUT, NRHS
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* DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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* LOGICAL DOTYPE( * )
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* INTEGER NVAL( * )
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* DOUBLE PRECISION RWORK( * ), S( * )
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* COMPLEX*16 A( * ), AFAC( * ), ASAV( * ), B( * ),
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* $ BSAV( * ), WORK( * ), X( * ), XACT( * )
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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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*> ZDRVPB tests the driver routines ZPBSV and -SVX.
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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] DOTYPE
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*> \verbatim
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*> DOTYPE is LOGICAL array, dimension (NTYPES)
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*> The matrix types to be used for testing. Matrices of type j
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*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
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*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
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*> \endverbatim
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*>
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*> \param[in] NN
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*> \verbatim
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*> NN is INTEGER
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*> The number of values of N contained in the vector NVAL.
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*> \endverbatim
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*>
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*> \param[in] NVAL
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*> \verbatim
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*> NVAL is INTEGER array, dimension (NN)
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*> The values of the matrix dimension N.
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*> \endverbatim
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*>
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*> \param[in] NRHS
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*> \verbatim
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*> NRHS is INTEGER
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*> The number of right hand side vectors to be generated for
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*> each linear system.
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*> \endverbatim
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*>
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*> \param[in] THRESH
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*> \verbatim
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*> THRESH is DOUBLE PRECISION
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*> The threshold value for the test ratios. A result is
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*> included in the output file if RESULT >= THRESH. To have
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*> every test ratio printed, use THRESH = 0.
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*> \endverbatim
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*>
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*> \param[in] TSTERR
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*> \verbatim
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*> TSTERR is LOGICAL
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*> Flag that indicates whether error exits are to be tested.
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*> \endverbatim
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*>
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*> \param[in] NMAX
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*> \verbatim
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*> NMAX is INTEGER
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*> The maximum value permitted for N, used in dimensioning the
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*> work arrays.
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*> \endverbatim
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*>
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*> \param[out] A
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*> \verbatim
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*> A is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AFAC
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*> \verbatim
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*> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] ASAV
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*> \verbatim
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*> ASAV is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] B
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*> \verbatim
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*> B is COMPLEX*16 array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] BSAV
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*> \verbatim
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*> BSAV is COMPLEX*16 array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] X
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*> \verbatim
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*> X is COMPLEX*16 array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] XACT
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*> \verbatim
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*> XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] S
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*> \verbatim
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*> S is DOUBLE PRECISION array, dimension (NMAX)
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*> \endverbatim
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*>
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*> \param[out] WORK
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*> \verbatim
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*> WORK is COMPLEX*16 array, dimension
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*> (NMAX*max(3,NRHS))
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*> \endverbatim
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*>
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*> \param[out] RWORK
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*> \verbatim
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*> RWORK is DOUBLE PRECISION array, dimension (NMAX+2*NRHS)
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*> \endverbatim
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*>
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*> \param[in] NOUT
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*> \verbatim
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*> NOUT 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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*> \ingroup complex16_lin
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*
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* =====================================================================
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SUBROUTINE ZDRVPB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
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$ A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
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$ RWORK, NOUT )
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*
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* -- LAPACK test routine --
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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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*
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* .. Scalar Arguments ..
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LOGICAL TSTERR
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INTEGER NMAX, NN, NOUT, NRHS
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DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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LOGICAL DOTYPE( * )
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INTEGER NVAL( * )
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DOUBLE PRECISION RWORK( * ), S( * )
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COMPLEX*16 A( * ), AFAC( * ), ASAV( * ), B( * ),
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$ BSAV( * ), WORK( * ), X( * ), XACT( * )
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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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DOUBLE PRECISION ONE, ZERO
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PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
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INTEGER NTYPES, NTESTS
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PARAMETER ( NTYPES = 8, NTESTS = 6 )
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INTEGER NBW
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PARAMETER ( NBW = 4 )
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* ..
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* .. Local Scalars ..
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LOGICAL EQUIL, NOFACT, PREFAC, ZEROT
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CHARACTER DIST, EQUED, FACT, PACKIT, TYPE, UPLO, XTYPE
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CHARACTER*3 PATH
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INTEGER I, I1, I2, IEQUED, IFACT, IKD, IMAT, IN, INFO,
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$ IOFF, IUPLO, IW, IZERO, K, K1, KD, KL, KOFF,
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$ KU, LDA, LDAB, MODE, N, NB, NBMIN, NERRS,
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$ NFACT, NFAIL, NIMAT, NKD, NRUN, NT
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DOUBLE PRECISION AINVNM, AMAX, ANORM, CNDNUM, RCOND, RCONDC,
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$ ROLDC, SCOND
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* ..
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* .. Local Arrays ..
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CHARACTER EQUEDS( 2 ), FACTS( 3 )
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INTEGER ISEED( 4 ), ISEEDY( 4 ), KDVAL( NBW )
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DOUBLE PRECISION RESULT( NTESTS )
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* ..
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* .. External Functions ..
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LOGICAL LSAME
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DOUBLE PRECISION DGET06, ZLANGE, ZLANHB
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EXTERNAL LSAME, DGET06, ZLANGE, ZLANHB
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* ..
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* .. External Subroutines ..
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EXTERNAL ALADHD, ALAERH, ALASVM, XLAENV, ZCOPY, ZERRVX,
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$ ZGET04, ZLACPY, ZLAIPD, ZLAQHB, ZLARHS, ZLASET,
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$ ZLATB4, ZLATMS, ZPBEQU, ZPBSV, ZPBSVX, ZPBT01,
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$ ZPBT02, ZPBT05, ZPBTRF, ZPBTRS, ZSWAP
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC DCMPLX, MAX, MIN
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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, NUNIT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, NUNIT, OK, LERR
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COMMON / SRNAMC / SRNAMT
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* ..
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* .. Data statements ..
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DATA ISEEDY / 1988, 1989, 1990, 1991 /
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DATA FACTS / 'F', 'N', 'E' / , EQUEDS / 'N', 'Y' /
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* ..
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* .. Executable Statements ..
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*
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* Initialize constants and the random number seed.
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*
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PATH( 1: 1 ) = 'Zomplex precision'
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PATH( 2: 3 ) = 'PB'
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NRUN = 0
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NFAIL = 0
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NERRS = 0
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DO 10 I = 1, 4
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ISEED( I ) = ISEEDY( I )
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10 CONTINUE
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*
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* Test the error exits
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*
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IF( TSTERR )
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$ CALL ZERRVX( PATH, NOUT )
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INFOT = 0
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KDVAL( 1 ) = 0
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*
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* Set the block size and minimum block size for testing.
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*
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NB = 1
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NBMIN = 2
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CALL XLAENV( 1, NB )
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CALL XLAENV( 2, NBMIN )
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*
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* Do for each value of N in NVAL
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*
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DO 110 IN = 1, NN
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N = NVAL( IN )
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LDA = MAX( N, 1 )
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XTYPE = 'N'
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*
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* Set limits on the number of loop iterations.
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*
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NKD = MAX( 1, MIN( N, 4 ) )
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NIMAT = NTYPES
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IF( N.EQ.0 )
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$ NIMAT = 1
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*
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KDVAL( 2 ) = N + ( N+1 ) / 4
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KDVAL( 3 ) = ( 3*N-1 ) / 4
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KDVAL( 4 ) = ( N+1 ) / 4
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*
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DO 100 IKD = 1, NKD
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*
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* Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order
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* makes it easier to skip redundant values for small values
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* of N.
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*
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KD = KDVAL( IKD )
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LDAB = KD + 1
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*
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* Do first for UPLO = 'U', then for UPLO = 'L'
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*
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DO 90 IUPLO = 1, 2
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KOFF = 1
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IF( IUPLO.EQ.1 ) THEN
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UPLO = 'U'
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PACKIT = 'Q'
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KOFF = MAX( 1, KD+2-N )
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ELSE
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UPLO = 'L'
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PACKIT = 'B'
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END IF
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*
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DO 80 IMAT = 1, NIMAT
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*
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* Do the tests only if DOTYPE( IMAT ) is true.
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*
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IF( .NOT.DOTYPE( IMAT ) )
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$ GO TO 80
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*
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* Skip types 2, 3, or 4 if the matrix size is too small.
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*
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ZEROT = IMAT.GE.2 .AND. IMAT.LE.4
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IF( ZEROT .AND. N.LT.IMAT-1 )
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$ GO TO 80
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*
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IF( .NOT.ZEROT .OR. .NOT.DOTYPE( 1 ) ) THEN
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*
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* Set up parameters with ZLATB4 and generate a test
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* matrix with ZLATMS.
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*
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CALL ZLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM,
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$ MODE, CNDNUM, DIST )
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*
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SRNAMT = 'ZLATMS'
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CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
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$ CNDNUM, ANORM, KD, KD, PACKIT,
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$ A( KOFF ), LDAB, WORK, INFO )
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*
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* Check error code from ZLATMS.
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*
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IF( INFO.NE.0 ) THEN
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CALL ALAERH( PATH, 'ZLATMS', INFO, 0, UPLO, N,
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$ N, -1, -1, -1, IMAT, NFAIL, NERRS,
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$ NOUT )
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GO TO 80
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END IF
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ELSE IF( IZERO.GT.0 ) THEN
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*
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* Use the same matrix for types 3 and 4 as for type
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* 2 by copying back the zeroed out column,
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*
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IW = 2*LDA + 1
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IF( IUPLO.EQ.1 ) THEN
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IOFF = ( IZERO-1 )*LDAB + KD + 1
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CALL ZCOPY( IZERO-I1, WORK( IW ), 1,
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$ A( IOFF-IZERO+I1 ), 1 )
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IW = IW + IZERO - I1
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CALL ZCOPY( I2-IZERO+1, WORK( IW ), 1,
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$ A( IOFF ), MAX( LDAB-1, 1 ) )
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ELSE
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IOFF = ( I1-1 )*LDAB + 1
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CALL ZCOPY( IZERO-I1, WORK( IW ), 1,
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$ A( IOFF+IZERO-I1 ),
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$ MAX( LDAB-1, 1 ) )
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IOFF = ( IZERO-1 )*LDAB + 1
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IW = IW + IZERO - I1
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CALL ZCOPY( I2-IZERO+1, WORK( IW ), 1,
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$ A( IOFF ), 1 )
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END IF
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END IF
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*
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* For types 2-4, zero one row and column of the matrix
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* to test that INFO is returned correctly.
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*
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IZERO = 0
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IF( ZEROT ) THEN
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IF( IMAT.EQ.2 ) THEN
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IZERO = 1
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ELSE IF( IMAT.EQ.3 ) THEN
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IZERO = N
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||
|
|
ELSE
|
||
|
|
IZERO = N / 2 + 1
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Save the zeroed out row and column in WORK(*,3)
|
||
|
|
*
|
||
|
|
IW = 2*LDA
|
||
|
|
DO 20 I = 1, MIN( 2*KD+1, N )
|
||
|
|
WORK( IW+I ) = ZERO
|
||
|
|
20 CONTINUE
|
||
|
|
IW = IW + 1
|
||
|
|
I1 = MAX( IZERO-KD, 1 )
|
||
|
|
I2 = MIN( IZERO+KD, N )
|
||
|
|
*
|
||
|
|
IF( IUPLO.EQ.1 ) THEN
|
||
|
|
IOFF = ( IZERO-1 )*LDAB + KD + 1
|
||
|
|
CALL ZSWAP( IZERO-I1, A( IOFF-IZERO+I1 ), 1,
|
||
|
|
$ WORK( IW ), 1 )
|
||
|
|
IW = IW + IZERO - I1
|
||
|
|
CALL ZSWAP( I2-IZERO+1, A( IOFF ),
|
||
|
|
$ MAX( LDAB-1, 1 ), WORK( IW ), 1 )
|
||
|
|
ELSE
|
||
|
|
IOFF = ( I1-1 )*LDAB + 1
|
||
|
|
CALL ZSWAP( IZERO-I1, A( IOFF+IZERO-I1 ),
|
||
|
|
$ MAX( LDAB-1, 1 ), WORK( IW ), 1 )
|
||
|
|
IOFF = ( IZERO-1 )*LDAB + 1
|
||
|
|
IW = IW + IZERO - I1
|
||
|
|
CALL ZSWAP( I2-IZERO+1, A( IOFF ), 1,
|
||
|
|
$ WORK( IW ), 1 )
|
||
|
|
END IF
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Set the imaginary part of the diagonals.
|
||
|
|
*
|
||
|
|
IF( IUPLO.EQ.1 ) THEN
|
||
|
|
CALL ZLAIPD( N, A( KD+1 ), LDAB, 0 )
|
||
|
|
ELSE
|
||
|
|
CALL ZLAIPD( N, A( 1 ), LDAB, 0 )
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Save a copy of the matrix A in ASAV.
|
||
|
|
*
|
||
|
|
CALL ZLACPY( 'Full', KD+1, N, A, LDAB, ASAV, LDAB )
|
||
|
|
*
|
||
|
|
DO 70 IEQUED = 1, 2
|
||
|
|
EQUED = EQUEDS( IEQUED )
|
||
|
|
IF( IEQUED.EQ.1 ) THEN
|
||
|
|
NFACT = 3
|
||
|
|
ELSE
|
||
|
|
NFACT = 1
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
DO 60 IFACT = 1, NFACT
|
||
|
|
FACT = FACTS( IFACT )
|
||
|
|
PREFAC = LSAME( FACT, 'F' )
|
||
|
|
NOFACT = LSAME( FACT, 'N' )
|
||
|
|
EQUIL = LSAME( FACT, 'E' )
|
||
|
|
*
|
||
|
|
IF( ZEROT ) THEN
|
||
|
|
IF( PREFAC )
|
||
|
|
$ GO TO 60
|
||
|
|
RCONDC = ZERO
|
||
|
|
*
|
||
|
|
ELSE IF( .NOT.LSAME( FACT, 'N' ) ) THEN
|
||
|
|
*
|
||
|
|
* Compute the condition number for comparison
|
||
|
|
* with the value returned by ZPBSVX (FACT =
|
||
|
|
* 'N' reuses the condition number from the
|
||
|
|
* previous iteration with FACT = 'F').
|
||
|
|
*
|
||
|
|
CALL ZLACPY( 'Full', KD+1, N, ASAV, LDAB,
|
||
|
|
$ AFAC, LDAB )
|
||
|
|
IF( EQUIL .OR. IEQUED.GT.1 ) THEN
|
||
|
|
*
|
||
|
|
* Compute row and column scale factors to
|
||
|
|
* equilibrate the matrix A.
|
||
|
|
*
|
||
|
|
CALL ZPBEQU( UPLO, N, KD, AFAC, LDAB, S,
|
||
|
|
$ SCOND, AMAX, INFO )
|
||
|
|
IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
|
||
|
|
IF( IEQUED.GT.1 )
|
||
|
|
$ SCOND = ZERO
|
||
|
|
*
|
||
|
|
* Equilibrate the matrix.
|
||
|
|
*
|
||
|
|
CALL ZLAQHB( UPLO, N, KD, AFAC, LDAB,
|
||
|
|
$ S, SCOND, AMAX, EQUED )
|
||
|
|
END IF
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Save the condition number of the
|
||
|
|
* non-equilibrated system for use in ZGET04.
|
||
|
|
*
|
||
|
|
IF( EQUIL )
|
||
|
|
$ ROLDC = RCONDC
|
||
|
|
*
|
||
|
|
* Compute the 1-norm of A.
|
||
|
|
*
|
||
|
|
ANORM = ZLANHB( '1', UPLO, N, KD, AFAC, LDAB,
|
||
|
|
$ RWORK )
|
||
|
|
*
|
||
|
|
* Factor the matrix A.
|
||
|
|
*
|
||
|
|
CALL ZPBTRF( UPLO, N, KD, AFAC, LDAB, INFO )
|
||
|
|
*
|
||
|
|
* Form the inverse of A.
|
||
|
|
*
|
||
|
|
CALL ZLASET( 'Full', N, N, DCMPLX( ZERO ),
|
||
|
|
$ DCMPLX( ONE ), A, LDA )
|
||
|
|
SRNAMT = 'ZPBTRS'
|
||
|
|
CALL ZPBTRS( UPLO, N, KD, N, AFAC, LDAB, A,
|
||
|
|
$ LDA, INFO )
|
||
|
|
*
|
||
|
|
* Compute the 1-norm condition number of A.
|
||
|
|
*
|
||
|
|
AINVNM = ZLANGE( '1', N, N, A, LDA, RWORK )
|
||
|
|
IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
|
||
|
|
RCONDC = ONE
|
||
|
|
ELSE
|
||
|
|
RCONDC = ( ONE / ANORM ) / AINVNM
|
||
|
|
END IF
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Restore the matrix A.
|
||
|
|
*
|
||
|
|
CALL ZLACPY( 'Full', KD+1, N, ASAV, LDAB, A,
|
||
|
|
$ LDAB )
|
||
|
|
*
|
||
|
|
* Form an exact solution and set the right hand
|
||
|
|
* side.
|
||
|
|
*
|
||
|
|
SRNAMT = 'ZLARHS'
|
||
|
|
CALL ZLARHS( PATH, XTYPE, UPLO, ' ', N, N, KD,
|
||
|
|
$ KD, NRHS, A, LDAB, XACT, LDA, B,
|
||
|
|
$ LDA, ISEED, INFO )
|
||
|
|
XTYPE = 'C'
|
||
|
|
CALL ZLACPY( 'Full', N, NRHS, B, LDA, BSAV,
|
||
|
|
$ LDA )
|
||
|
|
*
|
||
|
|
IF( NOFACT ) THEN
|
||
|
|
*
|
||
|
|
* --- Test ZPBSV ---
|
||
|
|
*
|
||
|
|
* Compute the L*L' or U'*U factorization of the
|
||
|
|
* matrix and solve the system.
|
||
|
|
*
|
||
|
|
CALL ZLACPY( 'Full', KD+1, N, A, LDAB, AFAC,
|
||
|
|
$ LDAB )
|
||
|
|
CALL ZLACPY( 'Full', N, NRHS, B, LDA, X,
|
||
|
|
$ LDA )
|
||
|
|
*
|
||
|
|
SRNAMT = 'ZPBSV '
|
||
|
|
CALL ZPBSV( UPLO, N, KD, NRHS, AFAC, LDAB, X,
|
||
|
|
$ LDA, INFO )
|
||
|
|
*
|
||
|
|
* Check error code from ZPBSV .
|
||
|
|
*
|
||
|
|
IF( INFO.NE.IZERO ) THEN
|
||
|
|
CALL ALAERH( PATH, 'ZPBSV ', INFO, IZERO,
|
||
|
|
$ UPLO, N, N, KD, KD, NRHS,
|
||
|
|
$ IMAT, NFAIL, NERRS, NOUT )
|
||
|
|
GO TO 40
|
||
|
|
ELSE IF( INFO.NE.0 ) THEN
|
||
|
|
GO TO 40
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Reconstruct matrix from factors and compute
|
||
|
|
* residual.
|
||
|
|
*
|
||
|
|
CALL ZPBT01( UPLO, N, KD, A, LDAB, AFAC,
|
||
|
|
$ LDAB, RWORK, RESULT( 1 ) )
|
||
|
|
*
|
||
|
|
* Compute residual of the computed solution.
|
||
|
|
*
|
||
|
|
CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK,
|
||
|
|
$ LDA )
|
||
|
|
CALL ZPBT02( UPLO, N, KD, NRHS, A, LDAB, X,
|
||
|
|
$ LDA, WORK, LDA, RWORK,
|
||
|
|
$ RESULT( 2 ) )
|
||
|
|
*
|
||
|
|
* Check solution from generated exact solution.
|
||
|
|
*
|
||
|
|
CALL ZGET04( N, NRHS, X, LDA, XACT, LDA,
|
||
|
|
$ RCONDC, RESULT( 3 ) )
|
||
|
|
NT = 3
|
||
|
|
*
|
||
|
|
* Print information about the tests that did
|
||
|
|
* not pass the threshold.
|
||
|
|
*
|
||
|
|
DO 30 K = 1, NT
|
||
|
|
IF( RESULT( K ).GE.THRESH ) THEN
|
||
|
|
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
|
||
|
|
$ CALL ALADHD( NOUT, PATH )
|
||
|
|
WRITE( NOUT, FMT = 9999 )'ZPBSV ',
|
||
|
|
$ UPLO, N, KD, IMAT, K, RESULT( K )
|
||
|
|
NFAIL = NFAIL + 1
|
||
|
|
END IF
|
||
|
|
30 CONTINUE
|
||
|
|
NRUN = NRUN + NT
|
||
|
|
40 CONTINUE
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* --- Test ZPBSVX ---
|
||
|
|
*
|
||
|
|
IF( .NOT.PREFAC )
|
||
|
|
$ CALL ZLASET( 'Full', KD+1, N, DCMPLX( ZERO ),
|
||
|
|
$ DCMPLX( ZERO ), AFAC, LDAB )
|
||
|
|
CALL ZLASET( 'Full', N, NRHS, DCMPLX( ZERO ),
|
||
|
|
$ DCMPLX( ZERO ), X, LDA )
|
||
|
|
IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
|
||
|
|
*
|
||
|
|
* Equilibrate the matrix if FACT='F' and
|
||
|
|
* EQUED='Y'
|
||
|
|
*
|
||
|
|
CALL ZLAQHB( UPLO, N, KD, A, LDAB, S, SCOND,
|
||
|
|
$ AMAX, EQUED )
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Solve the system and compute the condition
|
||
|
|
* number and error bounds using ZPBSVX.
|
||
|
|
*
|
||
|
|
SRNAMT = 'ZPBSVX'
|
||
|
|
CALL ZPBSVX( FACT, UPLO, N, KD, NRHS, A, LDAB,
|
||
|
|
$ AFAC, LDAB, EQUED, S, B, LDA, X,
|
||
|
|
$ LDA, RCOND, RWORK, RWORK( NRHS+1 ),
|
||
|
|
$ WORK, RWORK( 2*NRHS+1 ), INFO )
|
||
|
|
*
|
||
|
|
* Check the error code from ZPBSVX.
|
||
|
|
*
|
||
|
|
IF( INFO.NE.IZERO ) THEN
|
||
|
|
CALL ALAERH( PATH, 'ZPBSVX', INFO, IZERO,
|
||
|
|
$ FACT // UPLO, N, N, KD, KD,
|
||
|
|
$ NRHS, IMAT, NFAIL, NERRS, NOUT )
|
||
|
|
GO TO 60
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
IF( INFO.EQ.0 ) THEN
|
||
|
|
IF( .NOT.PREFAC ) THEN
|
||
|
|
*
|
||
|
|
* Reconstruct matrix from factors and
|
||
|
|
* compute residual.
|
||
|
|
*
|
||
|
|
CALL ZPBT01( UPLO, N, KD, A, LDAB, AFAC,
|
||
|
|
$ LDAB, RWORK( 2*NRHS+1 ),
|
||
|
|
$ RESULT( 1 ) )
|
||
|
|
K1 = 1
|
||
|
|
ELSE
|
||
|
|
K1 = 2
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Compute residual of the computed solution.
|
||
|
|
*
|
||
|
|
CALL ZLACPY( 'Full', N, NRHS, BSAV, LDA,
|
||
|
|
$ WORK, LDA )
|
||
|
|
CALL ZPBT02( UPLO, N, KD, NRHS, ASAV, LDAB,
|
||
|
|
$ X, LDA, WORK, LDA,
|
||
|
|
$ RWORK( 2*NRHS+1 ), RESULT( 2 ) )
|
||
|
|
*
|
||
|
|
* Check solution from generated exact solution.
|
||
|
|
*
|
||
|
|
IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
|
||
|
|
$ 'N' ) ) ) THEN
|
||
|
|
CALL ZGET04( N, NRHS, X, LDA, XACT, LDA,
|
||
|
|
$ RCONDC, RESULT( 3 ) )
|
||
|
|
ELSE
|
||
|
|
CALL ZGET04( N, NRHS, X, LDA, XACT, LDA,
|
||
|
|
$ ROLDC, RESULT( 3 ) )
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Check the error bounds from iterative
|
||
|
|
* refinement.
|
||
|
|
*
|
||
|
|
CALL ZPBT05( UPLO, N, KD, NRHS, ASAV, LDAB,
|
||
|
|
$ B, LDA, X, LDA, XACT, LDA,
|
||
|
|
$ RWORK, RWORK( NRHS+1 ),
|
||
|
|
$ RESULT( 4 ) )
|
||
|
|
ELSE
|
||
|
|
K1 = 6
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
* Compare RCOND from ZPBSVX with the computed
|
||
|
|
* value in RCONDC.
|
||
|
|
*
|
||
|
|
RESULT( 6 ) = DGET06( RCOND, RCONDC )
|
||
|
|
*
|
||
|
|
* Print information about the tests that did not
|
||
|
|
* pass the threshold.
|
||
|
|
*
|
||
|
|
DO 50 K = K1, 6
|
||
|
|
IF( RESULT( K ).GE.THRESH ) THEN
|
||
|
|
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
|
||
|
|
$ CALL ALADHD( NOUT, PATH )
|
||
|
|
IF( PREFAC ) THEN
|
||
|
|
WRITE( NOUT, FMT = 9997 )'ZPBSVX',
|
||
|
|
$ FACT, UPLO, N, KD, EQUED, IMAT, K,
|
||
|
|
$ RESULT( K )
|
||
|
|
ELSE
|
||
|
|
WRITE( NOUT, FMT = 9998 )'ZPBSVX',
|
||
|
|
$ FACT, UPLO, N, KD, IMAT, K,
|
||
|
|
$ RESULT( K )
|
||
|
|
END IF
|
||
|
|
NFAIL = NFAIL + 1
|
||
|
|
END IF
|
||
|
|
50 CONTINUE
|
||
|
|
NRUN = NRUN + 7 - K1
|
||
|
|
60 CONTINUE
|
||
|
|
70 CONTINUE
|
||
|
|
80 CONTINUE
|
||
|
|
90 CONTINUE
|
||
|
|
100 CONTINUE
|
||
|
|
110 CONTINUE
|
||
|
|
*
|
||
|
|
* Print a summary of the results.
|
||
|
|
*
|
||
|
|
CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
|
||
|
|
*
|
||
|
|
9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', KD =', I5,
|
||
|
|
$ ', type ', I1, ', test(', I1, ')=', G12.5 )
|
||
|
|
9998 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
|
||
|
|
$ ', ... ), type ', I1, ', test(', I1, ')=', G12.5 )
|
||
|
|
9997 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
|
||
|
|
$ ', ... ), EQUED=''', A1, ''', type ', I1, ', test(', I1,
|
||
|
|
$ ')=', G12.5 )
|
||
|
|
RETURN
|
||
|
|
*
|
||
|
|
* End of ZDRVPB
|
||
|
|
*
|
||
|
|
END
|