688 lines
		
	
	
		
			22 KiB
		
	
	
	
		
			Fortran
		
	
	
	
			
		
		
	
	
			688 lines
		
	
	
		
			22 KiB
		
	
	
	
		
			Fortran
		
	
	
	
| *> \brief \b ZCHKSY
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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 ZCHKSY( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
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| *                          THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
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| *                          XACT, WORK, RWORK, IWORK, NOUT )
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| *
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| *       .. Scalar Arguments ..
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| *       LOGICAL            TSTERR
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| *       INTEGER            NMAX, NN, NNB, 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            IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
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| *       DOUBLE PRECISION   RWORK( * )
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| *       COMPLEX*16         A( * ), AFAC( * ), AINV( * ), B( * ),
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| *      $                   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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| *> ZCHKSY tests ZSYTRF, -TRI2, -TRS, -TRS2,  -RFS, and -CON.
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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] NNB
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| *> \verbatim
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| *>          NNB is INTEGER
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| *>          The number of values of NB contained in the vector NBVAL.
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| *> \endverbatim
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| *>
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| *> \param[in] NBVAL
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| *> \verbatim
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| *>          NBVAL is INTEGER array, dimension (NNB)
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| *>          The values of the blocksize NB.
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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] 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] AINV
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| *> \verbatim
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| *>          AINV 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] XACT
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| *> \verbatim
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| *>          XACT 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 (NMAX*max(2,NSMAX))
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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*NSMAX)
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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 (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 ZCHKSY( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
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|      $                   THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
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|      $                   XACT, WORK, RWORK, 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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|       LOGICAL            TSTERR
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|       INTEGER            NMAX, NN, NNB, 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            IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
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|       DOUBLE PRECISION   RWORK( * )
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|       COMPLEX*16         A( * ), AFAC( * ), AINV( * ), B( * ),
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|      $                   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   ZERO
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|       PARAMETER          ( ZERO = 0.0D+0 )
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|       COMPLEX*16         CZERO
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|       PARAMETER          ( CZERO = ( 0.0D+0, 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 = 9 )
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| *     ..
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| *     .. Local Scalars ..
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|       LOGICAL            TRFCON, ZEROT
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|       CHARACTER          DIST, TYPE, UPLO, XTYPE
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|       CHARACTER*3        PATH
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|       INTEGER            I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
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|      $                   IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE,
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|      $                   N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT
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|       DOUBLE PRECISION   ANORM, CNDNUM, RCOND, RCONDC
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| *     ..
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| *     .. Local Arrays ..
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|       CHARACTER          UPLOS( 2 )
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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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| *     .. External Functions ..
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|       DOUBLE PRECISION   DGET06, ZLANSY
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|       EXTERNAL           DGET06, ZLANSY
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| *     ..
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| *     .. External Subroutines ..
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|       EXTERNAL           ALAERH, ALAHD, ALASUM, XLAENV, ZERRSY, ZGET04,
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|      $                   ZLACPY, ZLARHS, ZLATB4, ZLATMS, ZLATSY, ZPOT05,
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|      $                   ZSYCON, ZSYRFS, ZSYT01, ZSYT02, ZSYT03, ZSYTRF,
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|      $                   ZSYTRI2, ZSYTRS, ZSYTRS2
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| *     ..
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| *     .. Intrinsic Functions ..
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|       INTRINSIC          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               UPLOS / 'U', 'L' /
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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 ) = 'SY'
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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 ZERRSY( PATH, NOUT )
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|       INFOT = 0
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| *
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| *     Set the minimum block size for which the block routine should
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| *     be used, which will be later returned by ILAENV
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| *
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|       CALL XLAENV( 2, 2 )
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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 180 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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|          NIMAT = NTYPES
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|          IF( N.LE.0 )
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|      $      NIMAT = 1
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| *
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|          IZERO = 0
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| *
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| *        Do for each value of matrix type IMAT
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| *
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|          DO 170 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 170
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| *
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| *           Skip types 3, 4, 5, or 6 if the matrix size is too small.
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| *
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|             ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
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|             IF( ZEROT .AND. N.LT.IMAT-2 )
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|      $         GO TO 170
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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 160 IUPLO = 1, 2
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|                UPLO = UPLOS( IUPLO )
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| *
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| *              Begin generate test matrix A.
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| *
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|                IF( IMAT.NE.NTYPES ) THEN
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| *
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| *                 Set up parameters with ZLATB4 for the matrix generator
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| *                 based on the type of matrix to be generated.
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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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| *                 Generate a matrix with ZLATMS.
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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, KL, KU, 'N', A, LDA, WORK,
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|      $                         INFO )
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| *
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| *                 Check error code from ZLATMS and handle error.
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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, N,
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|      $                            -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
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| *
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| *                    Skip all tests for this generated matrix
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| *
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|                      GO TO 160
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|                   END IF
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| *
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| *                 For matrix types 3-6, zero one or more rows and
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| *                 columns of the matrix to test that INFO is returned
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| *                 correctly.
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| *
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|                   IF( ZEROT ) THEN
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|                      IF( IMAT.EQ.3 ) THEN
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|                         IZERO = 1
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|                      ELSE IF( IMAT.EQ.4 ) THEN
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|                         IZERO = N
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|                      ELSE
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|                         IZERO = N / 2 + 1
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|                      END IF
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| *
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|                      IF( IMAT.LT.6 ) THEN
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| *
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| *                       Set row and column IZERO to zero.
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| *
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|                         IF( IUPLO.EQ.1 ) THEN
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|                            IOFF = ( IZERO-1 )*LDA
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|                            DO 20 I = 1, IZERO - 1
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|                               A( IOFF+I ) = CZERO
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|    20                      CONTINUE
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|                            IOFF = IOFF + IZERO
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|                            DO 30 I = IZERO, N
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|                               A( IOFF ) = CZERO
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|                               IOFF = IOFF + LDA
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|    30                      CONTINUE
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|                         ELSE
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|                            IOFF = IZERO
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|                            DO 40 I = 1, IZERO - 1
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|                               A( IOFF ) = CZERO
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|                               IOFF = IOFF + LDA
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|    40                      CONTINUE
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|                            IOFF = IOFF - IZERO
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|                            DO 50 I = IZERO, N
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|                               A( IOFF+I ) = CZERO
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|    50                      CONTINUE
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|                         END IF
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|                      ELSE
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|                         IF( IUPLO.EQ.1 ) THEN
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| *
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| *                          Set the first IZERO rows to zero.
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| *
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|                            IOFF = 0
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|                            DO 70 J = 1, N
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|                               I2 = MIN( J, IZERO )
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|                               DO 60 I = 1, I2
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|                                  A( IOFF+I ) = CZERO
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|    60                         CONTINUE
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|                               IOFF = IOFF + LDA
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|    70                      CONTINUE
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|                         ELSE
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| *
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| *                          Set the last IZERO rows to zero.
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| *
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|                            IOFF = 0
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|                            DO 90 J = 1, N
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|                               I1 = MAX( J, IZERO )
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|                               DO 80 I = I1, N
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|                                  A( IOFF+I ) = CZERO
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|    80                         CONTINUE
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|                               IOFF = IOFF + LDA
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|    90                      CONTINUE
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|                         END IF
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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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|                ELSE
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| *
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| *                 For matrix kind IMAT = 11, generate special block
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| *                 diagonal matrix to test alternate code
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| *                 for the 2 x 2 blocks.
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| *
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|                   CALL ZLATSY( UPLO, N, A, LDA, ISEED )
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| *
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|                END IF
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| *
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| *              End generate test matrix A.
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| *
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| *
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| *              Do for each value of NB in NBVAL
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| *
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|                DO 150 INB = 1, NNB
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| *
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| *                 Set the optimal blocksize, which will be later
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| *                 returned by ILAENV.
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| *
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|                   NB = NBVAL( INB )
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|                   CALL XLAENV( 1, NB )
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| *
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| *                 Copy the test matrix A into matrix AFAC which
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| *                 will be factorized in place. This is needed to
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| *                 preserve the test matrix A for subsequent tests.
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| *
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|                   CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
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| *
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| *                 Compute the L*D*L**T or U*D*U**T factorization of the
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| *                 matrix. IWORK stores details of the interchanges and
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| *                 the block structure of D. AINV is a work array for
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| *                 block factorization, LWORK is the length of AINV.
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| *
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|                   LWORK = MAX( 2, NB )*LDA
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|                   SRNAMT = 'ZSYTRF'
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|                   CALL ZSYTRF( UPLO, N, AFAC, LDA, IWORK, AINV, LWORK,
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|      $                         INFO )
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| *
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| *                 Adjust the expected value of INFO to account for
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| *                 pivoting.
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| *
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|                   K = IZERO
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|                   IF( K.GT.0 ) THEN
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|   100                CONTINUE
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|                      IF( IWORK( K ).LT.0 ) THEN
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|                         IF( IWORK( K ).NE.-K ) THEN
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|                            K = -IWORK( K )
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|                            GO TO 100
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|                         END IF
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|                      ELSE IF( IWORK( K ).NE.K ) THEN
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|                         K = IWORK( K )
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|                         GO TO 100
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|                      END IF
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|                   END IF
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| *
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| *                 Check error code from ZSYTRF and handle error.
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| *
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|                   IF( INFO.NE.K )
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|      $               CALL ALAERH( PATH, 'ZSYTRF', INFO, K, UPLO, N, N,
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|      $                            -1, -1, NB, IMAT, NFAIL, NERRS, NOUT )
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| *
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| *                 Set the condition estimate flag if the INFO is not 0.
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| *
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|                   IF( INFO.NE.0 ) THEN
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|                      TRFCON = .TRUE.
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|                   ELSE
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|                      TRFCON = .FALSE.
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|                   END IF
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| *
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| *+    TEST 1
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| *                 Reconstruct matrix from factors and compute residual.
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| *
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|                   CALL ZSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK, AINV,
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|      $                         LDA, RWORK, RESULT( 1 ) )
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|                   NT = 1
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| *
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| *+    TEST 2
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| *                 Form the inverse and compute the residual,
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| *                 if the factorization was competed without INFO > 0
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| *                 (i.e. there is no zero rows and columns).
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| *                 Do it only for the first block size.
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| *
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|                   IF( INB.EQ.1 .AND. .NOT.TRFCON ) THEN
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|                      CALL ZLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
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|                      SRNAMT = 'ZSYTRI2'
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|                      LWORK = (N+NB+1)*(NB+3)
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|                      CALL ZSYTRI2( UPLO, N, AINV, LDA, IWORK, WORK,
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|      $                            LWORK, INFO )
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| *
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| *                    Check error code from ZSYTRI2 and handle error.
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| *
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|                      IF( INFO.NE.0 )
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|      $                  CALL ALAERH( PATH, 'ZSYTRI2', INFO, 0, UPLO, N,
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|      $                               N, -1, -1, -1, IMAT, NFAIL, NERRS,
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|      $                               NOUT )
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| *
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| *                    Compute the residual for a symmetric matrix times
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| *                    its inverse.
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| *
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|                      CALL ZSYT03( UPLO, N, A, LDA, AINV, LDA, WORK, LDA,
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|      $                            RWORK, RCONDC, RESULT( 2 ) )
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|                      NT = 2
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|                   END IF
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| *
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| *                 Print information about the tests that did not pass
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| *                 the threshold.
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| *
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|                   DO 110 K = 1, NT
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|                      IF( RESULT( K ).GE.THRESH ) THEN
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|                         IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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|      $                     CALL ALAHD( NOUT, PATH )
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|                         WRITE( NOUT, FMT = 9999 )UPLO, N, NB, IMAT, K,
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|      $                     RESULT( K )
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|                         NFAIL = NFAIL + 1
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|                      END IF
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|   110             CONTINUE
 | |
|                   NRUN = NRUN + NT
 | |
| *
 | |
| *                 Skip the other tests if this is not the first block
 | |
| *                 size.
 | |
| *
 | |
|                   IF( INB.GT.1 )
 | |
|      $               GO TO 150
 | |
| *
 | |
| *                 Do only the condition estimate if INFO is not 0.
 | |
| *
 | |
|                   IF( TRFCON ) THEN
 | |
|                      RCONDC = ZERO
 | |
|                      GO TO 140
 | |
|                   END IF
 | |
| *
 | |
| *                 Do for each value of NRHS in NSVAL.
 | |
| *
 | |
|                   DO 130 IRHS = 1, NNS
 | |
|                      NRHS = NSVAL( IRHS )
 | |
| *
 | |
| *+    TEST 3 (Using TRS)
 | |
| *                 Solve and compute residual for  A * X = B.
 | |
| *
 | |
| *                    Choose a set of NRHS random solution vectors
 | |
| *                    stored in XACT and set up the right hand side B
 | |
| *
 | |
|                      SRNAMT = 'ZLARHS'
 | |
|                      CALL ZLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
 | |
|      $                            NRHS, A, LDA, XACT, LDA, B, LDA,
 | |
|      $                            ISEED, INFO )
 | |
|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
 | |
| *
 | |
|                      SRNAMT = 'ZSYTRS'
 | |
|                      CALL ZSYTRS( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
 | |
|      $                            LDA, INFO )
 | |
| *
 | |
| *                    Check error code from ZSYTRS and handle error.
 | |
| *
 | |
|                      IF( INFO.NE.0 )
 | |
|      $                  CALL ALAERH( PATH, 'ZSYTRS', INFO, 0, UPLO, N,
 | |
|      $                               N, -1, -1, NRHS, IMAT, NFAIL,
 | |
|      $                               NERRS, NOUT )
 | |
| *
 | |
|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
 | |
| *
 | |
| *                    Compute the residual for the solution
 | |
| *
 | |
|                      CALL ZSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
 | |
|      $                            LDA, RWORK, RESULT( 3 ) )
 | |
| *
 | |
| *+    TEST 4 (Using TRS2)
 | |
| *                 Solve and compute residual for  A * X = B.
 | |
| *
 | |
| *                    Choose a set of NRHS random solution vectors
 | |
| *                    stored in XACT and set up the right hand side B
 | |
| *
 | |
|                      SRNAMT = 'ZLARHS'
 | |
|                      CALL ZLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
 | |
|      $                            NRHS, A, LDA, XACT, LDA, B, LDA,
 | |
|      $                            ISEED, INFO )
 | |
|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
 | |
| *
 | |
|                      SRNAMT = 'ZSYTRS2'
 | |
|                      CALL ZSYTRS2( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
 | |
|      $                            LDA, WORK, INFO )
 | |
| *
 | |
| *                    Check error code from ZSYTRS2 and handle error.
 | |
| *
 | |
|                      IF( INFO.NE.0 )
 | |
|      $                  CALL ALAERH( PATH, 'ZSYTRS', INFO, 0, UPLO, N,
 | |
|      $                               N, -1, -1, NRHS, IMAT, NFAIL,
 | |
|      $                               NERRS, NOUT )
 | |
| *
 | |
|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
 | |
| *
 | |
| *                    Compute the residual for the solution
 | |
| *
 | |
|                      CALL ZSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
 | |
|      $                            LDA, RWORK, RESULT( 4 ) )
 | |
| *
 | |
| *
 | |
| *+    TEST 5
 | |
| *                 Check solution from generated exact solution.
 | |
| *
 | |
|                      CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
 | |
|      $                            RESULT( 5 ) )
 | |
| *
 | |
| *+    TESTS 6, 7, and 8
 | |
| *                 Use iterative refinement to improve the solution.
 | |
| *
 | |
|                      SRNAMT = 'ZSYRFS'
 | |
|                      CALL ZSYRFS( UPLO, N, NRHS, A, LDA, AFAC, LDA,
 | |
|      $                            IWORK, B, LDA, X, LDA, RWORK,
 | |
|      $                            RWORK( NRHS+1 ), WORK,
 | |
|      $                            RWORK( 2*NRHS+1 ), INFO )
 | |
| *
 | |
| *                    Check error code from ZSYRFS and handle error.
 | |
| *
 | |
|                      IF( INFO.NE.0 )
 | |
|      $                  CALL ALAERH( PATH, 'ZSYRFS', INFO, 0, UPLO, N,
 | |
|      $                               N, -1, -1, NRHS, IMAT, NFAIL,
 | |
|      $                               NERRS, NOUT )
 | |
| *
 | |
|                      CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
 | |
|      $                            RESULT( 6 ) )
 | |
|                      CALL ZPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
 | |
|      $                            XACT, LDA, RWORK, RWORK( NRHS+1 ),
 | |
|      $                            RESULT( 7 ) )
 | |
| *
 | |
| *                    Print information about the tests that did not pass
 | |
| *                    the threshold.
 | |
| *
 | |
|                      DO 120 K = 3, 8
 | |
|                         IF( RESULT( K ).GE.THRESH ) THEN
 | |
|                            IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | |
|      $                        CALL ALAHD( NOUT, PATH )
 | |
|                            WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS,
 | |
|      $                        IMAT, K, RESULT( K )
 | |
|                            NFAIL = NFAIL + 1
 | |
|                         END IF
 | |
|   120                CONTINUE
 | |
|                      NRUN = NRUN + 6
 | |
| *
 | |
| *                 End do for each value of NRHS in NSVAL.
 | |
| *
 | |
|   130             CONTINUE
 | |
| *
 | |
| *+    TEST 9
 | |
| *                 Get an estimate of RCOND = 1/CNDNUM.
 | |
| *
 | |
|   140             CONTINUE
 | |
|                   ANORM = ZLANSY( '1', UPLO, N, A, LDA, RWORK )
 | |
|                   SRNAMT = 'ZSYCON'
 | |
|                   CALL ZSYCON( UPLO, N, AFAC, LDA, IWORK, ANORM, RCOND,
 | |
|      $                         WORK, INFO )
 | |
| *
 | |
| *                 Check error code from ZSYCON and handle error.
 | |
| *
 | |
|                   IF( INFO.NE.0 )
 | |
|      $               CALL ALAERH( PATH, 'ZSYCON', INFO, 0, UPLO, N, N,
 | |
|      $                            -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
 | |
| *
 | |
| *                 Compute the test ratio to compare values of RCOND
 | |
| *
 | |
|                   RESULT( 9 ) = DGET06( RCOND, RCONDC )
 | |
| *
 | |
| *                 Print information about the tests that did not pass
 | |
| *                 the threshold.
 | |
| *
 | |
|                   IF( RESULT( 9 ).GE.THRESH ) THEN
 | |
|                      IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | |
|      $                  CALL ALAHD( NOUT, PATH )
 | |
|                      WRITE( NOUT, FMT = 9997 )UPLO, N, IMAT, 9,
 | |
|      $                  RESULT( 9 )
 | |
|                      NFAIL = NFAIL + 1
 | |
|                   END IF
 | |
|                   NRUN = NRUN + 1
 | |
|   150          CONTINUE
 | |
|   160       CONTINUE
 | |
|   170    CONTINUE
 | |
|   180 CONTINUE
 | |
| *
 | |
| *     Print a summary of the results.
 | |
| *
 | |
|       CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
 | |
| *
 | |
|  9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NB =', I4, ', type ',
 | |
|      $      I2, ', test ', I2, ', ratio =', G12.5 )
 | |
|  9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS=', I3, ', type ',
 | |
|      $      I2, ', test(', I2, ') =', G12.5 )
 | |
|  9997 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ',', 10X, ' type ', I2,
 | |
|      $      ', test(', I2, ') =', G12.5 )
 | |
|       RETURN
 | |
| *
 | |
| *     End of ZCHKSY
 | |
| *
 | |
|       END
 |