433 lines
13 KiB
Fortran
433 lines
13 KiB
Fortran
*> \brief \b ZDRVAB
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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 ZDRVAB( DOTYPE, NM, MVAL, NNS,
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* NSVAL, THRESH, NMAX, A, AFAC, B,
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* X, WORK, RWORK, SWORK, IWORK, NOUT )
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*
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* .. Scalar Arguments ..
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* INTEGER NM, NMAX, NNS, NOUT
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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 MVAL( * ), NSVAL( * ), IWORK( * )
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* DOUBLE PRECISION RWORK( * )
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* COMPLEX SWORK( * )
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* COMPLEX*16 A( * ), AFAC( * ), B( * ),
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* $ WORK( * ), X( * )
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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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*> ZDRVAB tests ZCGESV
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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] NM
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*> \verbatim
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*> NM is INTEGER
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*> The number of values of M contained in the vector MVAL.
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*> \endverbatim
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*>
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*> \param[in] MVAL
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*> \verbatim
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*> MVAL is INTEGER array, dimension (NM)
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*> The values of the matrix row dimension M.
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*> \endverbatim
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*>
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*> \param[in] NNS
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*> \verbatim
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*> NNS is INTEGER
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*> The number of values of NRHS contained in the vector NSVAL.
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*> \endverbatim
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*>
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*> \param[in] NSVAL
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*> \verbatim
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*> NSVAL is INTEGER array, dimension (NNS)
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*> The values of the number of right hand sides NRHS.
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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] NMAX
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*> \verbatim
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*> NMAX is INTEGER
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*> The maximum value permitted for M or N, used in dimensioning
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*> the 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] B
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*> \verbatim
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*> B is COMPLEX*16 array, dimension (NMAX*NSMAX)
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*> where NSMAX is the largest entry in NSVAL.
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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*NSMAX)
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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,NSMAX*2))
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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
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*> NMAX
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*> \endverbatim
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*>
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*> \param[out] SWORK
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*> \verbatim
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*> SWORK is COMPLEX array, dimension
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*> (NMAX*(NSMAX+NMAX))
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*> \endverbatim
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*>
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*> \param[out] IWORK
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*> \verbatim
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*> IWORK is INTEGER array, dimension
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*> NMAX
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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 ZDRVAB( DOTYPE, NM, MVAL, NNS,
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$ NSVAL, THRESH, NMAX, A, AFAC, B,
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$ X, WORK, RWORK, SWORK, IWORK, 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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INTEGER NM, NMAX, NNS, NOUT
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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 MVAL( * ), NSVAL( * ), IWORK( * )
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DOUBLE PRECISION RWORK( * )
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COMPLEX SWORK( * )
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COMPLEX*16 A( * ), AFAC( * ), B( * ),
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$ WORK( * ), X( * )
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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 ZERO
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PARAMETER ( ZERO = 0.0D+0 )
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INTEGER NTYPES
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PARAMETER ( NTYPES = 11 )
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INTEGER NTESTS
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PARAMETER ( NTESTS = 1 )
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* ..
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* .. Local Scalars ..
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LOGICAL ZEROT
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CHARACTER DIST, TRANS, TYPE, XTYPE
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CHARACTER*3 PATH
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INTEGER I, IM, IMAT, INFO, IOFF, IRHS,
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$ IZERO, KL, KU, LDA, M, MODE, N,
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$ NERRS, NFAIL, NIMAT, NRHS, NRUN
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DOUBLE PRECISION ANORM, CNDNUM
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* ..
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* .. Local Arrays ..
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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DOUBLE PRECISION RESULT( NTESTS )
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* ..
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* .. Local Variables ..
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INTEGER ITER, KASE
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAERH, ALAHD, ZGET08, ZLACPY, ZLARHS, ZLASET,
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$ ZLATB4, ZLATMS
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC DCMPLX, DBLE, MAX, MIN, SQRT
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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 / 2006, 2007, 2008, 2009 /
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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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KASE = 0
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PATH( 1: 1 ) = 'Zomplex precision'
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PATH( 2: 3 ) = 'GE'
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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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INFOT = 0
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*
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* Do for each value of M in MVAL
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*
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DO 120 IM = 1, NM
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M = MVAL( IM )
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LDA = MAX( 1, M )
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*
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N = M
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NIMAT = NTYPES
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IF( M.LE.0 .OR. N.LE.0 )
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$ NIMAT = 1
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*
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DO 100 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 100
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*
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* Skip types 5, 6, or 7 if the matrix size is too small.
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*
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ZEROT = IMAT.GE.5 .AND. IMAT.LE.7
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IF( ZEROT .AND. N.LT.IMAT-4 )
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$ GO TO 100
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*
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* Set up parameters with ZLATB4 and generate a test matrix
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* with ZLATMS.
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*
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CALL ZLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE,
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$ CNDNUM, DIST )
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*
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SRNAMT = 'ZLATMS'
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CALL ZLATMS( M, N, DIST, ISEED, TYPE, RWORK, MODE,
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$ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
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$ 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, ' ', M, N, -1,
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$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
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GO TO 100
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END IF
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*
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* For types 5-7, zero one or more columns of the matrix to
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* test that INFO is returned correctly.
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*
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IF( ZEROT ) THEN
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IF( IMAT.EQ.5 ) THEN
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IZERO = 1
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ELSE IF( IMAT.EQ.6 ) THEN
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IZERO = MIN( M, N )
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ELSE
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IZERO = MIN( M, N ) / 2 + 1
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END IF
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IOFF = ( IZERO-1 )*LDA
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IF( IMAT.LT.7 ) THEN
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DO 20 I = 1, M
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A( IOFF+I ) = ZERO
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20 CONTINUE
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ELSE
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CALL ZLASET( 'Full', M, N-IZERO+1, DCMPLX(ZERO),
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$ DCMPLX(ZERO), A( IOFF+1 ), LDA )
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END IF
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ELSE
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IZERO = 0
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END IF
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*
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DO 60 IRHS = 1, NNS
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NRHS = NSVAL( IRHS )
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XTYPE = 'N'
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TRANS = 'N'
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*
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SRNAMT = 'ZLARHS'
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CALL ZLARHS( PATH, XTYPE, ' ', TRANS, N, N, KL,
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$ KU, NRHS, A, LDA, X, LDA, B,
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$ LDA, ISEED, INFO )
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*
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SRNAMT = 'ZCGESV'
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*
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KASE = KASE + 1
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*
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CALL ZLACPY( 'Full', M, N, A, LDA, AFAC, LDA )
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*
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CALL ZCGESV( N, NRHS, A, LDA, IWORK, B, LDA, X, LDA,
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$ WORK, SWORK, RWORK, ITER, INFO)
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*
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IF (ITER.LT.0) THEN
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CALL ZLACPY( 'Full', M, N, AFAC, LDA, A, LDA )
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ENDIF
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*
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* Check error code from ZCGESV. This should be the same as
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* the one of DGETRF.
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*
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IF( INFO.NE.IZERO ) THEN
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*
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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NERRS = NERRS + 1
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*
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IF( INFO.NE.IZERO .AND. IZERO.NE.0 ) THEN
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WRITE( NOUT, FMT = 9988 )'ZCGESV',INFO,
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$ IZERO,M,IMAT
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ELSE
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WRITE( NOUT, FMT = 9975 )'ZCGESV',INFO,
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$ M, IMAT
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END IF
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END IF
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*
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* Skip the remaining test if the matrix is singular.
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*
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IF( INFO.NE.0 )
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$ GO TO 100
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*
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* Check the quality of the solution
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*
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CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
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*
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CALL ZGET08( TRANS, N, N, NRHS, A, LDA, X, LDA, WORK,
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$ LDA, RWORK, RESULT( 1 ) )
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*
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* Check if the test passes the tesing.
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* Print information about the tests that did not
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* pass the testing.
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*
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* If iterative refinement has been used and claimed to
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* be successful (ITER>0), we want
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* NORMI(B - A*X)/(NORMI(A)*NORMI(X)*EPS*SRQT(N)) < 1
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*
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* If double precision has been used (ITER<0), we want
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* NORMI(B - A*X)/(NORMI(A)*NORMI(X)*EPS) < THRES
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* (Cf. the linear solver testing routines)
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*
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IF ((THRESH.LE.0.0E+00)
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$ .OR.((ITER.GE.0).AND.(N.GT.0)
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$ .AND.(RESULT(1).GE.SQRT(DBLE(N))))
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$ .OR.((ITER.LT.0).AND.(RESULT(1).GE.THRESH))) THEN
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*
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) THEN
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WRITE( NOUT, FMT = 8999 )'DGE'
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WRITE( NOUT, FMT = '( '' Matrix types:'' )' )
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WRITE( NOUT, FMT = 8979 )
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WRITE( NOUT, FMT = '( '' Test ratios:'' )' )
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WRITE( NOUT, FMT = 8960 )1
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WRITE( NOUT, FMT = '( '' Messages:'' )' )
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END IF
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*
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WRITE( NOUT, FMT = 9998 )TRANS, N, NRHS,
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$ IMAT, 1, RESULT( 1 )
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NFAIL = NFAIL + 1
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END IF
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NRUN = NRUN + 1
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60 CONTINUE
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100 CONTINUE
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120 CONTINUE
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*
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* Print a summary of the results.
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*
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IF( NFAIL.GT.0 ) THEN
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WRITE( NOUT, FMT = 9996 )'ZCGESV', NFAIL, NRUN
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ELSE
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WRITE( NOUT, FMT = 9995 )'ZCGESV', NRUN
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END IF
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IF( NERRS.GT.0 ) THEN
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WRITE( NOUT, FMT = 9994 )NERRS
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END IF
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*
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9998 FORMAT( ' TRANS=''', A1, ''', N =', I5, ', NRHS=', I3, ', type ',
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$ I2, ', test(', I2, ') =', G12.5 )
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9996 FORMAT( 1X, A6, ': ', I6, ' out of ', I6,
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$ ' tests failed to pass the threshold' )
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9995 FORMAT( /1X, 'All tests for ', A6,
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$ ' routines passed the threshold ( ', I6, ' tests run)' )
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9994 FORMAT( 6X, I6, ' error messages recorded' )
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*
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* SUBNAM, INFO, INFOE, M, IMAT
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*
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9988 FORMAT( ' *** ', A6, ' returned with INFO =', I5, ' instead of ',
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$ I5, / ' ==> M =', I5, ', type ',
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$ I2 )
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*
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* SUBNAM, INFO, M, IMAT
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*
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9975 FORMAT( ' *** Error code from ', A6, '=', I5, ' for M=', I5,
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$ ', type ', I2 )
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8999 FORMAT( / 1X, A3, ': General dense matrices' )
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8979 FORMAT( 4X, '1. Diagonal', 24X, '7. Last n/2 columns zero', / 4X,
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$ '2. Upper triangular', 16X,
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$ '8. Random, CNDNUM = sqrt(0.1/EPS)', / 4X,
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$ '3. Lower triangular', 16X, '9. Random, CNDNUM = 0.1/EPS',
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$ / 4X, '4. Random, CNDNUM = 2', 13X,
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$ '10. Scaled near underflow', / 4X, '5. First column zero',
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$ 14X, '11. Scaled near overflow', / 4X,
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$ '6. Last column zero' )
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8960 FORMAT( 3X, I2, ': norm_1( B - A * X ) / ',
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$ '( norm_1(A) * norm_1(X) * EPS * SQRT(N) ) > 1 if ITERREF',
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$ / 4x, 'or norm_1( B - A * X ) / ',
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$ '( norm_1(A) * norm_1(X) * EPS ) > THRES if DGETRF' )
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RETURN
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*
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* End of ZDRVAB
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*
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END
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