730 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Fortran
		
	
	
	
			
		
		
	
	
			730 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Fortran
		
	
	
	
| *> \brief \b ZDRVSYX
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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 ZDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
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| *                          A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
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| *                          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            IWORK( * ), 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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| *> ZDRVSY tests the driver routines ZSYSV, -SVX, and -SVXX.
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| *>
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| *> Note that this file is used only when the XBLAS are available,
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| *> otherwise zdrvsy.f defines this subroutine.
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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] 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*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] WORK
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| *> \verbatim
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| *>          WORK is COMPLEX*16 array, dimension
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| *>                      (NMAX*max(2,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 (2*NMAX+2*NRHS)
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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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| *> \date April 2012
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| *
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| *> \ingroup complex16_lin
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| *
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| *  =====================================================================
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|       SUBROUTINE ZDRVSY( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
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|      $                   A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
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|      $                   NOUT )
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| *
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| *  -- LAPACK test routine (version 3.4.1) --
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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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| *     April 2012
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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            IWORK( * ), 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   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 = 11, NTESTS = 6 )
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|       INTEGER            NFACT
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|       PARAMETER          ( NFACT = 2 )
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| *     ..
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| *     .. Local Scalars ..
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|       LOGICAL            ZEROT
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|       CHARACTER          DIST, EQUED, FACT, TYPE, UPLO, XTYPE
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|       CHARACTER*3        PATH
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|       INTEGER            I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
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|      $                   IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N,
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|      $                   NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT,
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|      $                   N_ERR_BNDS
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|       DOUBLE PRECISION   AINVNM, ANORM, CNDNUM, RCOND, RCONDC,
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|      $                   RPVGRW_SVXX
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| *     ..
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| *     .. Local Arrays ..
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|       CHARACTER          FACTS( NFACT ), UPLOS( 2 )
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|       INTEGER            ISEED( 4 ), ISEEDY( 4 )
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|       DOUBLE PRECISION   RESULT( NTESTS ), BERR( NRHS ),
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|      $                   ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
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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           ALADHD, ALAERH, ALASVM, XLAENV, ZERRVX, ZGET04,
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|      $                   ZLACPY, ZLARHS, ZLASET, ZLATB4, ZLATMS, ZLATSY,
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|      $                   ZPOT05, ZSYSV, ZSYSVX, ZSYT01, ZSYT02, ZSYTRF,
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|      $                   ZSYTRI2, ZSYSVXX
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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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| *     .. Intrinsic Functions ..
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|       INTRINSIC          DCMPLX, MAX, MIN
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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' / , FACTS / 'F', 'N' /
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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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|       LWORK = MAX( 2*NMAX, NMAX*NRHS )
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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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| *
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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 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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|          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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|                IF( IMAT.NE.NTYPES ) 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, KL, KU, UPLO, 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, UPLO, N, N,
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|      $                            -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
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|                      GO TO 160
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|                   END IF
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| *
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| *                 For types 3-6, zero one or more rows and columns of
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| *                 the matrix to test that INFO is returned 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 ) = ZERO
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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 ) = ZERO
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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 ) = ZERO
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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 ) = ZERO
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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 ) = ZERO
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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 ) = ZERO
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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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|                ELSE
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| *
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| *                 IMAT = NTYPES:  Use a special block diagonal matrix to
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| *                 test alternate code for the 2-by-2 blocks.
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| *
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|                   CALL ZLATSY( UPLO, N, A, LDA, ISEED )
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|                END IF
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| *
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|                DO 150 IFACT = 1, NFACT
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| *
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| *                 Do first for FACT = 'F', then for other values.
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| *
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|                   FACT = FACTS( IFACT )
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| *
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| *                 Compute the condition number for comparison with
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| *                 the value returned by ZSYSVX.
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| *
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|                   IF( ZEROT ) THEN
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|                      IF( IFACT.EQ.1 )
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|      $                  GO TO 150
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|                      RCONDC = ZERO
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| *
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|                   ELSE IF( IFACT.EQ.1 ) THEN
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| *
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| *                    Compute the 1-norm of A.
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| *
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|                      ANORM = ZLANSY( '1', UPLO, N, A, LDA, RWORK )
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| *
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| *                    Factor the matrix A.
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| *
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|                      CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
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|                      CALL ZSYTRF( UPLO, N, AFAC, LDA, IWORK, WORK,
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|      $                            LWORK, INFO )
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| *
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| *                    Compute inv(A) and take its norm.
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| *
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|                      CALL ZLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
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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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|                      AINVNM = ZLANSY( '1', UPLO, N, AINV, LDA, RWORK )
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| *
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| *                    Compute the 1-norm condition number of A.
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| *
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|                      IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
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|                         RCONDC = ONE
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|                      ELSE
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|                         RCONDC = ( ONE / ANORM ) / AINVNM
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|                      END IF
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|                   END IF
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| *
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| *                 Form an exact solution and set the right hand side.
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| *
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|                   SRNAMT = 'ZLARHS'
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|                   CALL ZLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
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|      $                         NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
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|      $                         INFO )
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|                   XTYPE = 'C'
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| *
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| *                 --- Test ZSYSV  ---
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| *
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|                   IF( IFACT.EQ.2 ) THEN
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|                      CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
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|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
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| *
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| *                    Factor the matrix and solve the system using ZSYSV.
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| *
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|                      SRNAMT = 'ZSYSV '
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|                      CALL ZSYSV( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
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|      $                           LDA, WORK, LWORK, 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 ZSYSV .
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| *
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|                      IF( INFO.NE.K ) THEN
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|                         CALL ALAERH( PATH, 'ZSYSV ', INFO, K, UPLO, N,
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|      $                               N, -1, -1, NRHS, IMAT, NFAIL,
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|      $                               NERRS, NOUT )
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|                         GO TO 120
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|                      ELSE IF( INFO.NE.0 ) THEN
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|                         GO TO 120
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|                      END IF
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| *
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| *                    Reconstruct matrix from factors and compute
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| *                    residual.
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| *
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|                      CALL ZSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
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|      $                            AINV, LDA, RWORK, RESULT( 1 ) )
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| *
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| *                    Compute residual of the computed solution.
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| *
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|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
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|                      CALL ZSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
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|      $                            LDA, RWORK, RESULT( 2 ) )
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| *
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| *                    Check solution from generated exact solution.
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| *
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|                      CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
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|      $                            RESULT( 3 ) )
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|                      NT = 3
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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 ALADHD( NOUT, PATH )
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|                            WRITE( NOUT, FMT = 9999 )'ZSYSV ', UPLO, N,
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|      $                        IMAT, K, RESULT( K )
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|                            NFAIL = NFAIL + 1
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|                         END IF
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|   110                CONTINUE
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|                      NRUN = NRUN + NT
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|   120                CONTINUE
 | |
|                   END IF
 | |
| *
 | |
| *                 --- Test ZSYSVX ---
 | |
| *
 | |
|                   IF( IFACT.EQ.2 )
 | |
|      $               CALL ZLASET( UPLO, N, N, DCMPLX( ZERO ),
 | |
|      $                            DCMPLX( ZERO ), AFAC, LDA )
 | |
|                   CALL ZLASET( 'Full', N, NRHS, DCMPLX( ZERO ),
 | |
|      $                         DCMPLX( ZERO ), X, LDA )
 | |
| *
 | |
| *                 Solve the system and compute the condition number and
 | |
| *                 error bounds using ZSYSVX.
 | |
| *
 | |
|                   SRNAMT = 'ZSYSVX'
 | |
|                   CALL ZSYSVX( FACT, UPLO, N, NRHS, A, LDA, AFAC, LDA,
 | |
|      $                         IWORK, B, LDA, X, LDA, RCOND, RWORK,
 | |
|      $                         RWORK( NRHS+1 ), WORK, LWORK,
 | |
|      $                         RWORK( 2*NRHS+1 ), INFO )
 | |
| *
 | |
| *                 Adjust the expected value of INFO to account for
 | |
| *                 pivoting.
 | |
| *
 | |
|                   K = IZERO
 | |
|                   IF( K.GT.0 ) THEN
 | |
|   130                CONTINUE
 | |
|                      IF( IWORK( K ).LT.0 ) THEN
 | |
|                         IF( IWORK( K ).NE.-K ) THEN
 | |
|                            K = -IWORK( K )
 | |
|                            GO TO 130
 | |
|                         END IF
 | |
|                      ELSE IF( IWORK( K ).NE.K ) THEN
 | |
|                         K = IWORK( K )
 | |
|                         GO TO 130
 | |
|                      END IF
 | |
|                   END IF
 | |
| *
 | |
| *                 Check the error code from ZSYSVX.
 | |
| *
 | |
|                   IF( INFO.NE.K ) THEN
 | |
|                      CALL ALAERH( PATH, 'ZSYSVX', INFO, K, FACT // UPLO,
 | |
|      $                            N, N, -1, -1, NRHS, IMAT, NFAIL,
 | |
|      $                            NERRS, NOUT )
 | |
|                      GO TO 150
 | |
|                   END IF
 | |
| *
 | |
|                   IF( INFO.EQ.0 ) THEN
 | |
|                      IF( IFACT.GE.2 ) THEN
 | |
| *
 | |
| *                       Reconstruct matrix from factors and compute
 | |
| *                       residual.
 | |
| *
 | |
|                         CALL ZSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
 | |
|      $                               AINV, LDA, RWORK( 2*NRHS+1 ),
 | |
|      $                               RESULT( 1 ) )
 | |
|                         K1 = 1
 | |
|                      ELSE
 | |
|                         K1 = 2
 | |
|                      END IF
 | |
| *
 | |
| *                    Compute residual of the computed solution.
 | |
| *
 | |
|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
 | |
|                      CALL ZSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
 | |
|      $                            LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
 | |
| *
 | |
| *                    Check solution from generated exact solution.
 | |
| *
 | |
|                      CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
 | |
|      $                            RESULT( 3 ) )
 | |
| *
 | |
| *                    Check the error bounds from iterative refinement.
 | |
| *
 | |
|                      CALL ZPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
 | |
|      $                            XACT, LDA, RWORK, RWORK( NRHS+1 ),
 | |
|      $                            RESULT( 4 ) )
 | |
|                   ELSE
 | |
|                      K1 = 6
 | |
|                   END IF
 | |
| *
 | |
| *                 Compare RCOND from ZSYSVX with the computed value
 | |
| *                 in RCONDC.
 | |
| *
 | |
|                   RESULT( 6 ) = DGET06( RCOND, RCONDC )
 | |
| *
 | |
| *                 Print information about the tests that did not pass
 | |
| *                 the threshold.
 | |
| *
 | |
|                   DO 140 K = K1, 6
 | |
|                      IF( RESULT( K ).GE.THRESH ) THEN
 | |
|                         IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | |
|      $                     CALL ALADHD( NOUT, PATH )
 | |
|                         WRITE( NOUT, FMT = 9998 )'ZSYSVX', FACT, UPLO,
 | |
|      $                     N, IMAT, K, RESULT( K )
 | |
|                         NFAIL = NFAIL + 1
 | |
|                      END IF
 | |
|   140             CONTINUE
 | |
|                   NRUN = NRUN + 7 - K1
 | |
| *
 | |
| *                 --- Test ZSYSVXX ---
 | |
| *
 | |
| *                 Restore the matrices A and B.
 | |
| *
 | |
|                   IF( IFACT.EQ.2 )
 | |
|      $               CALL ZLASET( UPLO, N, N, CMPLX( ZERO ),
 | |
|      $                 CMPLX( ZERO ), AFAC, LDA )
 | |
|                   CALL ZLASET( 'Full', N, NRHS, CMPLX( ZERO ),
 | |
|      $                 CMPLX( ZERO ), X, LDA )
 | |
| *
 | |
| *                 Solve the system and compute the condition number
 | |
| *                 and error bounds using ZSYSVXX.
 | |
| *
 | |
|                   SRNAMT = 'ZSYSVXX'
 | |
|                   N_ERR_BNDS = 3
 | |
|                   EQUED = 'N'
 | |
|                   CALL ZSYSVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
 | |
|      $                 LDA, IWORK, EQUED, WORK( N+1 ), B, LDA, X,
 | |
|      $                 LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
 | |
|      $                 ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
 | |
|      $                 RWORK, INFO )
 | |
| *
 | |
| *                 Adjust the expected value of INFO to account for
 | |
| *                 pivoting.
 | |
| *
 | |
|                   K = IZERO
 | |
|                   IF( K.GT.0 ) THEN
 | |
|  135                 CONTINUE
 | |
|                      IF( IWORK( K ).LT.0 ) THEN
 | |
|                         IF( IWORK( K ).NE.-K ) THEN
 | |
|                            K = -IWORK( K )
 | |
|                            GO TO 135
 | |
|                         END IF
 | |
|                      ELSE IF( IWORK( K ).NE.K ) THEN
 | |
|                         K = IWORK( K )
 | |
|                         GO TO 135
 | |
|                      END IF
 | |
|                   END IF
 | |
| *
 | |
| *                 Check the error code from ZSYSVXX.
 | |
| *
 | |
|                   IF( INFO.NE.K .AND. INFO.LE.N ) THEN
 | |
|                      CALL ALAERH( PATH, 'ZSYSVXX', INFO, K,
 | |
|      $                    FACT // UPLO, N, N, -1, -1, NRHS, IMAT, NFAIL,
 | |
|      $                    NERRS, NOUT )
 | |
|                      GO TO 150
 | |
|                   END IF
 | |
| *
 | |
|                   IF( INFO.EQ.0 ) THEN
 | |
|                      IF( IFACT.GE.2 ) THEN
 | |
| *
 | |
| *                 Reconstruct matrix from factors and compute
 | |
| *                 residual.
 | |
| *
 | |
|                         CALL ZSYT01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
 | |
|      $                       AINV, LDA, RWORK(2*NRHS+1),
 | |
|      $                       RESULT( 1 ) )
 | |
|                         K1 = 1
 | |
|                      ELSE
 | |
|                         K1 = 2
 | |
|                      END IF
 | |
| *
 | |
| *                 Compute residual of the computed solution.
 | |
| *
 | |
|                      CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
 | |
|                      CALL ZSYT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
 | |
|      $                    LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
 | |
|                      RESULT( 2 ) = 0.0
 | |
| *
 | |
| *                 Check solution from generated exact solution.
 | |
| *
 | |
|                      CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
 | |
|      $                    RESULT( 3 ) )
 | |
| *
 | |
| *                 Check the error bounds from iterative refinement.
 | |
| *
 | |
|                      CALL ZPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
 | |
|      $                    XACT, LDA, RWORK, RWORK( NRHS+1 ),
 | |
|      $                    RESULT( 4 ) )
 | |
|                   ELSE
 | |
|                      K1 = 6
 | |
|                   END IF
 | |
| *
 | |
| *                 Compare RCOND from ZSYSVXX with the computed value
 | |
| *                 in RCONDC.
 | |
| *
 | |
|                   RESULT( 6 ) = DGET06( RCOND, RCONDC )
 | |
| *
 | |
| *                 Print information about the tests that did not pass
 | |
| *                 the threshold.
 | |
| *
 | |
|                   DO 85 K = K1, 6
 | |
|                      IF( RESULT( K ).GE.THRESH ) THEN
 | |
|                         IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | |
|      $                       CALL ALADHD( NOUT, PATH )
 | |
|                         WRITE( NOUT, FMT = 9998 )'ZSYSVXX',
 | |
|      $                       FACT, UPLO, N, IMAT, K,
 | |
|      $                       RESULT( K )
 | |
|                         NFAIL = NFAIL + 1
 | |
|                      END IF
 | |
|  85               CONTINUE
 | |
|                   NRUN = NRUN + 7 - K1
 | |
| *
 | |
|   150          CONTINUE
 | |
| *
 | |
|   160       CONTINUE
 | |
|   170    CONTINUE
 | |
|   180 CONTINUE
 | |
| *
 | |
| *     Print a summary of the results.
 | |
| *
 | |
|       CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
 | |
| *
 | |
| 
 | |
| *     Test Error Bounds from ZSYSVXX
 | |
| 
 | |
|       CALL ZEBCHVXX(THRESH, PATH)
 | |
| 
 | |
|  9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
 | |
|      $      ', test ', I2, ', ratio =', G12.5 )
 | |
|  9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N =', I5,
 | |
|      $      ', type ', I2, ', test ', I2, ', ratio =', G12.5 )
 | |
|       RETURN
 | |
| *
 | |
| *     End of ZDRVSY
 | |
| *
 | |
|       END
 |