694 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Fortran
		
	
	
	
			
		
		
	
	
			694 lines
		
	
	
		
			24 KiB
		
	
	
	
		
			Fortran
		
	
	
	
| *> \brief \b SDRVPB
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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 SDRVPB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
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| *                          A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
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| *                          RWORK, 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, NOUT, NRHS
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| *       REAL               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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| *       REAL               A( * ), AFAC( * ), ASAV( * ), B( * ),
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| *      $                   BSAV( * ), RWORK( * ), S( * ), WORK( * ),
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| *      $                   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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| *> SDRVPB tests the driver routines SPBSV and -SVX.
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| *> \endverbatim
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| *
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| *  Arguments:
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| *  ==========
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| *
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| *> \param[in] DOTYPE
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| *> \verbatim
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| *>          DOTYPE is LOGICAL array, dimension (NTYPES)
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| *>          The matrix types to be used for testing.  Matrices of type j
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| *>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
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| *>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
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| *> \endverbatim
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| *>
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| *> \param[in] NN
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| *> \verbatim
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| *>          NN is INTEGER
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| *>          The number of values of N contained in the vector NVAL.
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| *> \endverbatim
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| *>
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| *> \param[in] NVAL
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| *> \verbatim
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| *>          NVAL is INTEGER array, dimension (NN)
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| *>          The values of the matrix dimension N.
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| *> \endverbatim
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| *>
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| *> \param[in] NRHS
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| *> \verbatim
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| *>          NRHS is INTEGER
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| *>          The number of right hand side vectors to be generated for
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| *>          each linear system.
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| *> \endverbatim
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| *>
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| *> \param[in] THRESH
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| *> \verbatim
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| *>          THRESH is REAL
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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 REAL 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 REAL array, dimension (NMAX*NMAX)
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| *> \endverbatim
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| *>
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| *> \param[out] ASAV
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| *> \verbatim
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| *>          ASAV is REAL 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 REAL array, dimension (NMAX*NRHS)
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| *> \endverbatim
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| *>
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| *> \param[out] BSAV
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| *> \verbatim
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| *>          BSAV is REAL 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 REAL 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 REAL array, dimension (NMAX*NRHS)
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| *> \endverbatim
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| *>
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| *> \param[out] S
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| *> \verbatim
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| *>          S is REAL array, dimension (NMAX)
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| *> \endverbatim
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| *>
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| *> \param[out] WORK
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| *> \verbatim
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| *>          WORK is REAL array, dimension
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| *>                      (NMAX*max(3,NRHS))
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| *> \endverbatim
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| *>
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| *> \param[out] RWORK
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| *> \verbatim
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| *>          RWORK is REAL array, dimension (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 December 2016
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| *
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| *> \ingroup single_lin
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| *
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| *  =====================================================================
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|       SUBROUTINE SDRVPB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
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|      $                   A, AFAC, ASAV, B, BSAV, X, XACT, S, WORK,
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|      $                   RWORK, IWORK, NOUT )
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| *
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| *  -- LAPACK test routine (version 3.7.0) --
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| *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
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| *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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| *     December 2016
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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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|       REAL               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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|       REAL               A( * ), AFAC( * ), ASAV( * ), B( * ),
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|      $                   BSAV( * ), RWORK( * ), S( * ), WORK( * ),
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|      $                   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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|       REAL               ONE, ZERO
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|       PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
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|       INTEGER            NTYPES, NTESTS
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|       PARAMETER          ( NTYPES = 8, NTESTS = 6 )
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|       INTEGER            NBW
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|       PARAMETER          ( NBW = 4 )
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| *     ..
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| *     .. Local Scalars ..
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|       LOGICAL            EQUIL, NOFACT, PREFAC, ZEROT
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|       CHARACTER          DIST, EQUED, FACT, PACKIT, TYPE, UPLO, XTYPE
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|       CHARACTER*3        PATH
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|       INTEGER            I, I1, I2, IEQUED, IFACT, IKD, IMAT, IN, INFO,
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|      $                   IOFF, IUPLO, IW, IZERO, K, K1, KD, KL, KOFF,
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|      $                   KU, LDA, LDAB, MODE, N, NB, NBMIN, NERRS,
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|      $                   NFACT, NFAIL, NIMAT, NKD, NRUN, NT
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|       REAL               AINVNM, AMAX, ANORM, CNDNUM, RCOND, RCONDC,
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|      $                   ROLDC, SCOND
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| *     ..
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| *     .. Local Arrays ..
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|       CHARACTER          EQUEDS( 2 ), FACTS( 3 )
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|       INTEGER            ISEED( 4 ), ISEEDY( 4 ), KDVAL( NBW )
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|       REAL               RESULT( NTESTS )
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| *     ..
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| *     .. External Functions ..
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|       LOGICAL            LSAME
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|       REAL               SGET06, SLANGE, SLANSB
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|       EXTERNAL           LSAME, SGET06, SLANGE, SLANSB
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| *     ..
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| *     .. External Subroutines ..
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|       EXTERNAL           ALADHD, ALAERH, ALASVM, SCOPY, SERRVX, SGET04,
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|      $                   SLACPY, SLAQSB, SLARHS, SLASET, SLATB4, SLATMS,
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|      $                   SPBEQU, SPBSV, SPBSVX, SPBT01, SPBT02, SPBT05,
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|      $                   SPBTRF, SPBTRS, SSWAP, XLAENV
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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               FACTS / 'F', 'N', 'E' /
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|       DATA               EQUEDS / 'N', 'Y' /
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| *     ..
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| *     .. Executable Statements ..
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| *
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| *     Initialize constants and the random number seed.
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| *
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|       PATH( 1: 1 ) = 'Single precision'
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|       PATH( 2: 3 ) = 'PB'
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|       NRUN = 0
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|       NFAIL = 0
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|       NERRS = 0
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|       DO 10 I = 1, 4
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|          ISEED( I ) = ISEEDY( I )
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|    10 CONTINUE
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| *
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| *     Test the error exits
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| *
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|       IF( TSTERR )
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|      $   CALL SERRVX( PATH, NOUT )
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|       INFOT = 0
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|       KDVAL( 1 ) = 0
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| *
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| *     Set the block size and minimum block size for testing.
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| *
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|       NB = 1
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|       NBMIN = 2
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|       CALL XLAENV( 1, NB )
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|       CALL XLAENV( 2, NBMIN )
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| *
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| *     Do for each value of N in NVAL
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| *
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|       DO 110 IN = 1, NN
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|          N = NVAL( IN )
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|          LDA = MAX( N, 1 )
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|          XTYPE = 'N'
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| *
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| *        Set limits on the number of loop iterations.
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| *
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|          NKD = MAX( 1, MIN( N, 4 ) )
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|          NIMAT = NTYPES
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|          IF( N.EQ.0 )
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|      $      NIMAT = 1
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| *
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|          KDVAL( 2 ) = N + ( N+1 ) / 4
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|          KDVAL( 3 ) = ( 3*N-1 ) / 4
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|          KDVAL( 4 ) = ( N+1 ) / 4
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| *
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|          DO 100 IKD = 1, NKD
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| *
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| *           Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order
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| *           makes it easier to skip redundant values for small values
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| *           of N.
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| *
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|             KD = KDVAL( IKD )
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|             LDAB = KD + 1
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| *
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| *           Do first for UPLO = 'U', then for UPLO = 'L'
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| *
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|             DO 90 IUPLO = 1, 2
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|                KOFF = 1
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|                IF( IUPLO.EQ.1 ) THEN
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|                   UPLO = 'U'
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|                   PACKIT = 'Q'
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|                   KOFF = MAX( 1, KD+2-N )
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|                ELSE
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|                   UPLO = 'L'
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|                   PACKIT = 'B'
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|                END IF
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| *
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|                DO 80 IMAT = 1, NIMAT
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| *
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| *                 Do the tests only if DOTYPE( IMAT ) is true.
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| *
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|                   IF( .NOT.DOTYPE( IMAT ) )
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|      $               GO TO 80
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| *
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| *                 Skip types 2, 3, or 4 if the matrix size is too small.
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| *
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|                   ZEROT = IMAT.GE.2 .AND. IMAT.LE.4
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|                   IF( ZEROT .AND. N.LT.IMAT-1 )
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|      $               GO TO 80
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| *
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|                   IF( .NOT.ZEROT .OR. .NOT.DOTYPE( 1 ) ) THEN
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| *
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| *                    Set up parameters with SLATB4 and generate a test
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| *                    matrix with SLATMS.
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| *
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|                      CALL SLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM,
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|      $                            MODE, CNDNUM, DIST )
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| *
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|                      SRNAMT = 'SLATMS'
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|                      CALL SLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
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|      $                            CNDNUM, ANORM, KD, KD, PACKIT,
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|      $                            A( KOFF ), LDAB, WORK, INFO )
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| *
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| *                    Check error code from SLATMS.
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| *
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|                      IF( INFO.NE.0 ) THEN
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|                         CALL ALAERH( PATH, 'SLATMS', INFO, 0, UPLO, N,
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|      $                               N, -1, -1, -1, IMAT, NFAIL, NERRS,
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|      $                               NOUT )
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|                         GO TO 80
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|                      END IF
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|                   ELSE IF( IZERO.GT.0 ) THEN
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| *
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| *                    Use the same matrix for types 3 and 4 as for type
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| *                    2 by copying back the zeroed out column,
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| *
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|                      IW = 2*LDA + 1
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|                      IF( IUPLO.EQ.1 ) THEN
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|                         IOFF = ( IZERO-1 )*LDAB + KD + 1
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|                         CALL SCOPY( IZERO-I1, WORK( IW ), 1,
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|      $                              A( IOFF-IZERO+I1 ), 1 )
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|                         IW = IW + IZERO - I1
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|                         CALL SCOPY( I2-IZERO+1, WORK( IW ), 1,
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|      $                              A( IOFF ), MAX( LDAB-1, 1 ) )
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|                      ELSE
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|                         IOFF = ( I1-1 )*LDAB + 1
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|                         CALL SCOPY( IZERO-I1, WORK( IW ), 1,
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|      $                              A( IOFF+IZERO-I1 ),
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|      $                              MAX( LDAB-1, 1 ) )
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|                         IOFF = ( IZERO-1 )*LDAB + 1
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|                         IW = IW + IZERO - I1
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|                         CALL SCOPY( I2-IZERO+1, WORK( IW ), 1,
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|      $                              A( IOFF ), 1 )
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|                      END IF
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|                   END IF
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| *
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| *                 For types 2-4, zero one row and column of the matrix
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| *                 to test that INFO is returned correctly.
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| *
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|                   IZERO = 0
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|                   IF( ZEROT ) THEN
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|                      IF( IMAT.EQ.2 ) THEN
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|                         IZERO = 1
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|                      ELSE IF( IMAT.EQ.3 ) THEN
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|                         IZERO = N
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|                      ELSE
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|                         IZERO = N / 2 + 1
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|                      END IF
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| *
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| *                    Save the zeroed out row and column in WORK(*,3)
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| *
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|                      IW = 2*LDA
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|                      DO 20 I = 1, MIN( 2*KD+1, N )
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|                         WORK( IW+I ) = ZERO
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|    20                CONTINUE
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|                      IW = IW + 1
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|                      I1 = MAX( IZERO-KD, 1 )
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|                      I2 = MIN( IZERO+KD, N )
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| *
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|                      IF( IUPLO.EQ.1 ) THEN
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|                         IOFF = ( IZERO-1 )*LDAB + KD + 1
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|                         CALL SSWAP( IZERO-I1, A( IOFF-IZERO+I1 ), 1,
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|      $                              WORK( IW ), 1 )
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|                         IW = IW + IZERO - I1
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|                         CALL SSWAP( I2-IZERO+1, A( IOFF ),
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|      $                              MAX( LDAB-1, 1 ), WORK( IW ), 1 )
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|                      ELSE
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|                         IOFF = ( I1-1 )*LDAB + 1
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|                         CALL SSWAP( IZERO-I1, A( IOFF+IZERO-I1 ),
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|      $                              MAX( LDAB-1, 1 ), WORK( IW ), 1 )
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|                         IOFF = ( IZERO-1 )*LDAB + 1
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|                         IW = IW + IZERO - I1
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|                         CALL SSWAP( I2-IZERO+1, A( IOFF ), 1,
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|      $                              WORK( IW ), 1 )
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|                      END IF
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|                   END IF
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| *
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| *                 Save a copy of the matrix A in ASAV.
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| *
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|                   CALL SLACPY( 'Full', KD+1, N, A, LDAB, ASAV, LDAB )
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| *
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|                   DO 70 IEQUED = 1, 2
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|                      EQUED = EQUEDS( IEQUED )
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|                      IF( IEQUED.EQ.1 ) THEN
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|                         NFACT = 3
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|                      ELSE
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|                         NFACT = 1
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|                      END IF
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| *
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|                      DO 60 IFACT = 1, NFACT
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|                         FACT = FACTS( IFACT )
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|                         PREFAC = LSAME( FACT, 'F' )
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|                         NOFACT = LSAME( FACT, 'N' )
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|                         EQUIL = LSAME( FACT, 'E' )
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| *
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|                         IF( ZEROT ) THEN
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|                            IF( PREFAC )
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|      $                        GO TO 60
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|                            RCONDC = ZERO
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| *
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|                         ELSE IF( .NOT.LSAME( FACT, 'N' ) ) THEN
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| *
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| *                          Compute the condition number for comparison
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| *                          with the value returned by SPBSVX (FACT =
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| *                          'N' reuses the condition number from the
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| *                          previous iteration with FACT = 'F').
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| *
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|                            CALL SLACPY( 'Full', KD+1, N, ASAV, LDAB,
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|      $                                  AFAC, LDAB )
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|                            IF( EQUIL .OR. IEQUED.GT.1 ) THEN
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| *
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| *                             Compute row and column scale factors to
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| *                             equilibrate the matrix A.
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| *
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|                               CALL SPBEQU( UPLO, N, KD, AFAC, LDAB, S,
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|      $                                     SCOND, AMAX, INFO )
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|                               IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
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|                                  IF( IEQUED.GT.1 )
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|      $                              SCOND = ZERO
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| *
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| *                                Equilibrate the matrix.
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| *
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|                                  CALL SLAQSB( UPLO, N, KD, AFAC, LDAB,
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|      $                                        S, SCOND, AMAX, EQUED )
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|                               END IF
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|                            END IF
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| *
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| *                          Save the condition number of the
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| *                          non-equilibrated system for use in SGET04.
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| *
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|                            IF( EQUIL )
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|      $                        ROLDC = RCONDC
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| *
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| *                          Compute the 1-norm of A.
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| *
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|                            ANORM = SLANSB( '1', UPLO, N, KD, AFAC, LDAB,
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|      $                             RWORK )
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| *
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| *                          Factor the matrix A.
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| *
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|                            CALL SPBTRF( UPLO, N, KD, AFAC, LDAB, INFO )
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| *
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| *                          Form the inverse of A.
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| *
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|                            CALL SLASET( 'Full', N, N, ZERO, ONE, A,
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|      $                                  LDA )
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|                            SRNAMT = 'SPBTRS'
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|                            CALL SPBTRS( UPLO, N, KD, N, AFAC, LDAB, A,
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|      $                                  LDA, INFO )
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| *
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| *                          Compute the 1-norm condition number of A.
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| *
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|                            AINVNM = SLANGE( '1', N, N, A, LDA, RWORK )
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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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| *                       Restore the matrix A.
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| *
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|                         CALL SLACPY( 'Full', KD+1, N, ASAV, LDAB, A,
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|      $                               LDAB )
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| *
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| *                       Form an exact solution and set the right hand
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| *                       side.
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| *
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|                         SRNAMT = 'SLARHS'
 | |
|                         CALL SLARHS( PATH, XTYPE, UPLO, ' ', N, N, KD,
 | |
|      $                               KD, NRHS, A, LDAB, XACT, LDA, B,
 | |
|      $                               LDA, ISEED, INFO )
 | |
|                         XTYPE = 'C'
 | |
|                         CALL SLACPY( 'Full', N, NRHS, B, LDA, BSAV,
 | |
|      $                               LDA )
 | |
| *
 | |
|                         IF( NOFACT ) THEN
 | |
| *
 | |
| *                          --- Test SPBSV  ---
 | |
| *
 | |
| *                          Compute the L*L' or U'*U factorization of the
 | |
| *                          matrix and solve the system.
 | |
| *
 | |
|                            CALL SLACPY( 'Full', KD+1, N, A, LDAB, AFAC,
 | |
|      $                                  LDAB )
 | |
|                            CALL SLACPY( 'Full', N, NRHS, B, LDA, X,
 | |
|      $                                  LDA )
 | |
| *
 | |
|                            SRNAMT = 'SPBSV '
 | |
|                            CALL SPBSV( UPLO, N, KD, NRHS, AFAC, LDAB, X,
 | |
|      $                                 LDA, INFO )
 | |
| *
 | |
| *                          Check error code from SPBSV .
 | |
| *
 | |
|                            IF( INFO.NE.IZERO ) THEN
 | |
|                               CALL ALAERH( PATH, 'SPBSV ', INFO, IZERO,
 | |
|      $                                     UPLO, N, N, KD, KD, NRHS,
 | |
|      $                                     IMAT, NFAIL, NERRS, NOUT )
 | |
|                               GO TO 40
 | |
|                            ELSE IF( INFO.NE.0 ) THEN
 | |
|                               GO TO 40
 | |
|                            END IF
 | |
| *
 | |
| *                          Reconstruct matrix from factors and compute
 | |
| *                          residual.
 | |
| *
 | |
|                            CALL SPBT01( UPLO, N, KD, A, LDAB, AFAC,
 | |
|      $                                  LDAB, RWORK, RESULT( 1 ) )
 | |
| *
 | |
| *                          Compute residual of the computed solution.
 | |
| *
 | |
|                            CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK,
 | |
|      $                                  LDA )
 | |
|                            CALL SPBT02( UPLO, N, KD, NRHS, A, LDAB, X,
 | |
|      $                                  LDA, WORK, LDA, RWORK,
 | |
|      $                                  RESULT( 2 ) )
 | |
| *
 | |
| *                          Check solution from generated exact solution.
 | |
| *
 | |
|                            CALL SGET04( N, NRHS, X, LDA, XACT, LDA,
 | |
|      $                                  RCONDC, RESULT( 3 ) )
 | |
|                            NT = 3
 | |
| *
 | |
| *                          Print information about the tests that did
 | |
| *                          not pass the threshold.
 | |
| *
 | |
|                            DO 30 K = 1, NT
 | |
|                               IF( RESULT( K ).GE.THRESH ) THEN
 | |
|                                  IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | |
|      $                              CALL ALADHD( NOUT, PATH )
 | |
|                                  WRITE( NOUT, FMT = 9999 )'SPBSV ',
 | |
|      $                              UPLO, N, KD, IMAT, K, RESULT( K )
 | |
|                                  NFAIL = NFAIL + 1
 | |
|                               END IF
 | |
|    30                      CONTINUE
 | |
|                            NRUN = NRUN + NT
 | |
|    40                      CONTINUE
 | |
|                         END IF
 | |
| *
 | |
| *                       --- Test SPBSVX ---
 | |
| *
 | |
|                         IF( .NOT.PREFAC )
 | |
|      $                     CALL SLASET( 'Full', KD+1, N, ZERO, ZERO,
 | |
|      $                                  AFAC, LDAB )
 | |
|                         CALL SLASET( 'Full', N, NRHS, ZERO, ZERO, X,
 | |
|      $                               LDA )
 | |
|                         IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
 | |
| *
 | |
| *                          Equilibrate the matrix if FACT='F' and
 | |
| *                          EQUED='Y'
 | |
| *
 | |
|                            CALL SLAQSB( UPLO, N, KD, A, LDAB, S, SCOND,
 | |
|      $                                  AMAX, EQUED )
 | |
|                         END IF
 | |
| *
 | |
| *                       Solve the system and compute the condition
 | |
| *                       number and error bounds using SPBSVX.
 | |
| *
 | |
|                         SRNAMT = 'SPBSVX'
 | |
|                         CALL SPBSVX( FACT, UPLO, N, KD, NRHS, A, LDAB,
 | |
|      $                               AFAC, LDAB, EQUED, S, B, LDA, X,
 | |
|      $                               LDA, RCOND, RWORK, RWORK( NRHS+1 ),
 | |
|      $                               WORK, IWORK, INFO )
 | |
| *
 | |
| *                       Check the error code from SPBSVX.
 | |
| *
 | |
|                         IF( INFO.NE.IZERO ) THEN
 | |
|                            CALL ALAERH( PATH, 'SPBSVX', INFO, IZERO,
 | |
|      $                                  FACT // UPLO, N, N, KD, KD,
 | |
|      $                                  NRHS, IMAT, NFAIL, NERRS, NOUT )
 | |
|                            GO TO 60
 | |
|                         END IF
 | |
| *
 | |
|                         IF( INFO.EQ.0 ) THEN
 | |
|                            IF( .NOT.PREFAC ) THEN
 | |
| *
 | |
| *                             Reconstruct matrix from factors and
 | |
| *                             compute residual.
 | |
| *
 | |
|                               CALL SPBT01( UPLO, N, KD, A, LDAB, AFAC,
 | |
|      $                                     LDAB, RWORK( 2*NRHS+1 ),
 | |
|      $                                     RESULT( 1 ) )
 | |
|                               K1 = 1
 | |
|                            ELSE
 | |
|                               K1 = 2
 | |
|                            END IF
 | |
| *
 | |
| *                          Compute residual of the computed solution.
 | |
| *
 | |
|                            CALL SLACPY( 'Full', N, NRHS, BSAV, LDA,
 | |
|      $                                  WORK, LDA )
 | |
|                            CALL SPBT02( UPLO, N, KD, NRHS, ASAV, LDAB,
 | |
|      $                                  X, LDA, WORK, LDA,
 | |
|      $                                  RWORK( 2*NRHS+1 ), RESULT( 2 ) )
 | |
| *
 | |
| *                          Check solution from generated exact solution.
 | |
| *
 | |
|                            IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
 | |
|      $                         'N' ) ) ) THEN
 | |
|                               CALL SGET04( N, NRHS, X, LDA, XACT, LDA,
 | |
|      $                                     RCONDC, RESULT( 3 ) )
 | |
|                            ELSE
 | |
|                               CALL SGET04( N, NRHS, X, LDA, XACT, LDA,
 | |
|      $                                     ROLDC, RESULT( 3 ) )
 | |
|                            END IF
 | |
| *
 | |
| *                          Check the error bounds from iterative
 | |
| *                          refinement.
 | |
| *
 | |
|                            CALL SPBT05( UPLO, N, KD, NRHS, ASAV, LDAB,
 | |
|      $                                  B, LDA, X, LDA, XACT, LDA,
 | |
|      $                                  RWORK, RWORK( NRHS+1 ),
 | |
|      $                                  RESULT( 4 ) )
 | |
|                         ELSE
 | |
|                            K1 = 6
 | |
|                         END IF
 | |
| *
 | |
| *                       Compare RCOND from SPBSVX with the computed
 | |
| *                       value in RCONDC.
 | |
| *
 | |
|                         RESULT( 6 ) = SGET06( RCOND, RCONDC )
 | |
| *
 | |
| *                       Print information about the tests that did not
 | |
| *                       pass the threshold.
 | |
| *
 | |
|                         DO 50 K = K1, 6
 | |
|                            IF( RESULT( K ).GE.THRESH ) THEN
 | |
|                               IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
 | |
|      $                           CALL ALADHD( NOUT, PATH )
 | |
|                               IF( PREFAC ) THEN
 | |
|                                  WRITE( NOUT, FMT = 9997 )'SPBSVX',
 | |
|      $                              FACT, UPLO, N, KD, EQUED, IMAT, K,
 | |
|      $                              RESULT( K )
 | |
|                               ELSE
 | |
|                                  WRITE( NOUT, FMT = 9998 )'SPBSVX',
 | |
|      $                              FACT, UPLO, N, KD, IMAT, K,
 | |
|      $                              RESULT( K )
 | |
|                               END IF
 | |
|                               NFAIL = NFAIL + 1
 | |
|                            END IF
 | |
|    50                   CONTINUE
 | |
|                         NRUN = NRUN + 7 - K1
 | |
|    60                CONTINUE
 | |
|    70             CONTINUE
 | |
|    80          CONTINUE
 | |
|    90       CONTINUE
 | |
|   100    CONTINUE
 | |
|   110 CONTINUE
 | |
| *
 | |
| *     Print a summary of the results.
 | |
| *
 | |
|       CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
 | |
| *
 | |
|  9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', KD =', I5,
 | |
|      $      ', type ', I1, ', test(', I1, ')=', G12.5 )
 | |
|  9998 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
 | |
|      $      ', ... ), type ', I1, ', test(', I1, ')=', G12.5 )
 | |
|  9997 FORMAT( 1X, A, '( ''', A1, ''', ''', A1, ''', ', I5, ', ', I5,
 | |
|      $      ', ... ), EQUED=''', A1, ''', type ', I1, ', test(', I1,
 | |
|      $      ')=', G12.5 )
 | |
|       RETURN
 | |
| *
 | |
| *     End of SDRVPB
 | |
| *
 | |
|       END
 |