506 lines
15 KiB
Fortran
506 lines
15 KiB
Fortran
*> \brief \b SCHKPP
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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 SCHKPP( DOTYPE, NN, NVAL, NNS, NSVAL, THRESH, TSTERR,
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* NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK,
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* 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, NNS, NOUT
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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( * ), NSVAL( * ), NVAL( * )
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* REAL A( * ), AFAC( * ), AINV( * ), B( * ),
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* $ RWORK( * ), 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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*> SCHKPP tests SPPTRF, -TRI, -TRS, -RFS, and -CON
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] DOTYPE
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*> \verbatim
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*> DOTYPE is LOGICAL array, dimension (NTYPES)
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*> The matrix types to be used for testing. Matrices of type j
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*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
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*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
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*> \endverbatim
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*>
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*> \param[in] NN
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*> \verbatim
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*> NN is INTEGER
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*> The number of values of N contained in the vector NVAL.
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*> \endverbatim
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*>
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*> \param[in] NVAL
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*> \verbatim
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*> NVAL is INTEGER array, dimension (NN)
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*> The values of the matrix dimension N.
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*> \endverbatim
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*>
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*> \param[in] NNS
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*> \verbatim
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*> NNS is INTEGER
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*> The number of values of NRHS contained in the vector NSVAL.
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*> \endverbatim
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*>
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*> \param[in] NSVAL
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*> \verbatim
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*> NSVAL is INTEGER array, dimension (NNS)
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*> The values of the number of right hand sides NRHS.
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*> \endverbatim
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*>
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*> \param[in] THRESH
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*> \verbatim
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*> THRESH is 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
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*> (NMAX*(NMAX+1)/2)
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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
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*> (NMAX*(NMAX+1)/2)
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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 REAL array, dimension
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*> (NMAX*(NMAX+1)/2)
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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*NSMAX)
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*> where NSMAX is the largest entry in NSVAL.
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*> \endverbatim
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*>
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*> \param[out] X
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*> \verbatim
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*> X is REAL array, dimension (NMAX*NSMAX)
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*> \endverbatim
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*>
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*> \param[out] XACT
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*> \verbatim
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*> XACT is REAL array, dimension (NMAX*NSMAX)
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*> \endverbatim
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*>
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*> \param[out] WORK
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*> \verbatim
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*> WORK is REAL array, dimension
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*> (NMAX*max(3,NSMAX))
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*> \endverbatim
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*>
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*> \param[out] RWORK
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*> \verbatim
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*> RWORK is REAL array, dimension
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*> (max(NMAX,2*NSMAX))
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*> \endverbatim
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*>
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*> \param[out] IWORK
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*> \verbatim
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*> IWORK is INTEGER array, dimension (NMAX)
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*> \endverbatim
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*>
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*> \param[in] NOUT
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*> \verbatim
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*> NOUT is INTEGER
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*> The unit number for output.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \date November 2011
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*
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*> \ingroup single_lin
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*
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* =====================================================================
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SUBROUTINE SCHKPP( DOTYPE, NN, NVAL, NNS, NSVAL, THRESH, TSTERR,
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$ NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK,
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$ IWORK, NOUT )
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*
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* -- LAPACK test routine (version 3.4.0) --
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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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* November 2011
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*
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* .. Scalar Arguments ..
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LOGICAL TSTERR
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INTEGER NMAX, NN, NNS, NOUT
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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( * ), NSVAL( * ), NVAL( * )
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REAL A( * ), AFAC( * ), AINV( * ), B( * ),
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$ RWORK( * ), 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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REAL ZERO
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PARAMETER ( ZERO = 0.0E+0 )
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INTEGER NTYPES
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PARAMETER ( NTYPES = 9 )
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INTEGER NTESTS
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PARAMETER ( NTESTS = 8 )
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* ..
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* .. Local Scalars ..
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LOGICAL ZEROT
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CHARACTER DIST, PACKIT, TYPE, UPLO, XTYPE
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CHARACTER*3 PATH
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INTEGER I, IMAT, IN, INFO, IOFF, IRHS, IUPLO, IZERO, K,
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$ KL, KU, LDA, MODE, N, NERRS, NFAIL, NIMAT, NPP,
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$ NRHS, NRUN
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REAL ANORM, CNDNUM, RCOND, RCONDC
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* ..
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* .. Local Arrays ..
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CHARACTER PACKS( 2 ), UPLOS( 2 )
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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REAL RESULT( NTESTS )
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* ..
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* .. External Functions ..
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REAL SGET06, SLANSP
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EXTERNAL SGET06, SLANSP
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAERH, ALAHD, ALASUM, SCOPY, SERRPO, SGET04,
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$ SLACPY, SLARHS, SLATB4, SLATMS, SPPCON, SPPRFS,
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$ SPPT01, SPPT02, SPPT03, SPPT05, SPPTRF, SPPTRI,
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$ SPPTRS
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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 MAX
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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' / , PACKS / 'C', 'R' /
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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 ) = 'PP'
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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 SERRPO( PATH, NOUT )
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INFOT = 0
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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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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 100 IMAT = 1, NIMAT
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*
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* Do the tests only if DOTYPE( IMAT ) is true.
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*
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IF( .NOT.DOTYPE( IMAT ) )
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$ GO TO 100
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*
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* Skip types 3, 4, or 5 if the matrix size is too small.
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*
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ZEROT = IMAT.GE.3 .AND. IMAT.LE.5
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IF( ZEROT .AND. N.LT.IMAT-2 )
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$ GO TO 100
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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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UPLO = UPLOS( IUPLO )
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PACKIT = PACKS( IUPLO )
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*
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* Set up parameters with SLATB4 and generate a test matrix
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* with SLATMS.
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*
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CALL SLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
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$ 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, KL, KU, PACKIT, A, LDA, WORK,
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$ 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, N, -1,
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$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
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GO TO 90
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END IF
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*
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* For types 3-5, zero one row and column of the matrix to
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* test that INFO is returned correctly.
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*
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IF( ZEROT ) THEN
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IF( IMAT.EQ.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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* Set row and column IZERO of A to 0.
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*
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IF( IUPLO.EQ.1 ) THEN
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IOFF = ( IZERO-1 )*IZERO / 2
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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 + I
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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 + N - I
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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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IZERO = 0
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END IF
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*
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* Compute the L*L' or U'*U factorization of the matrix.
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*
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NPP = N*( N+1 ) / 2
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CALL SCOPY( NPP, A, 1, AFAC, 1 )
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SRNAMT = 'SPPTRF'
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CALL SPPTRF( UPLO, N, AFAC, INFO )
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*
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* Check error code from SPPTRF.
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*
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IF( INFO.NE.IZERO ) THEN
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CALL ALAERH( PATH, 'SPPTRF', INFO, IZERO, UPLO, N, N,
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$ -1, -1, -1, IMAT, NFAIL, NERRS, NOUT )
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GO TO 90
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END IF
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*
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* Skip the tests if INFO is not 0.
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*
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IF( INFO.NE.0 )
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$ GO TO 90
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*
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*+ TEST 1
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* Reconstruct matrix from factors and compute residual.
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*
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CALL SCOPY( NPP, AFAC, 1, AINV, 1 )
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CALL SPPT01( UPLO, N, A, AINV, RWORK, RESULT( 1 ) )
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*
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*+ TEST 2
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* Form the inverse and compute the residual.
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*
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CALL SCOPY( NPP, AFAC, 1, AINV, 1 )
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SRNAMT = 'SPPTRI'
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CALL SPPTRI( UPLO, N, AINV, INFO )
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*
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* Check error code from SPPTRI.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'SPPTRI', INFO, 0, UPLO, N, N, -1,
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$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
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*
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CALL SPPT03( UPLO, N, A, AINV, WORK, LDA, RWORK, RCONDC,
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$ RESULT( 2 ) )
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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 60 K = 1, 2
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IF( RESULT( K ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9999 )UPLO, N, IMAT, K,
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$ RESULT( K )
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NFAIL = NFAIL + 1
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END IF
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60 CONTINUE
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NRUN = NRUN + 2
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*
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DO 80 IRHS = 1, NNS
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NRHS = NSVAL( IRHS )
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*
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*+ TEST 3
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* Solve and compute residual for A * X = B.
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*
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SRNAMT = 'SLARHS'
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CALL SLARHS( 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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CALL SLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
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*
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SRNAMT = 'SPPTRS'
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CALL SPPTRS( UPLO, N, NRHS, AFAC, X, LDA, INFO )
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*
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* Check error code from SPPTRS.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'SPPTRS', INFO, 0, UPLO, N, N,
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$ -1, -1, NRHS, IMAT, NFAIL, NERRS,
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$ NOUT )
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*
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CALL SLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
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CALL SPPT02( UPLO, N, NRHS, A, X, LDA, WORK, LDA,
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$ RWORK, RESULT( 3 ) )
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*
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*+ TEST 4
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* Check solution from generated exact solution.
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*
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CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
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$ RESULT( 4 ) )
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*
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*+ TESTS 5, 6, and 7
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* Use iterative refinement to improve the solution.
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*
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SRNAMT = 'SPPRFS'
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CALL SPPRFS( UPLO, N, NRHS, A, AFAC, B, LDA, X, LDA,
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$ RWORK, RWORK( NRHS+1 ), WORK, IWORK,
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$ INFO )
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*
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* Check error code from SPPRFS.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'SPPRFS', INFO, 0, UPLO, N, N,
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$ -1, -1, NRHS, IMAT, NFAIL, NERRS,
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$ NOUT )
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*
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CALL SGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
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$ RESULT( 5 ) )
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CALL SPPT05( UPLO, N, NRHS, A, B, LDA, X, LDA, XACT,
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$ LDA, RWORK, RWORK( NRHS+1 ),
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$ RESULT( 6 ) )
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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 70 K = 3, 7
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IF( RESULT( K ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS, IMAT,
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$ K, RESULT( K )
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NFAIL = NFAIL + 1
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END IF
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70 CONTINUE
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NRUN = NRUN + 5
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80 CONTINUE
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*
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*+ TEST 8
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* Get an estimate of RCOND = 1/CNDNUM.
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*
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ANORM = SLANSP( '1', UPLO, N, A, RWORK )
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SRNAMT = 'SPPCON'
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CALL SPPCON( UPLO, N, AFAC, ANORM, RCOND, WORK, IWORK,
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$ INFO )
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*
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* Check error code from SPPCON.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'SPPCON', INFO, 0, UPLO, N, N, -1,
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$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
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*
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RESULT( 8 ) = SGET06( RCOND, RCONDC )
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*
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* Print the test ratio if greater than or equal to THRESH.
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*
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IF( RESULT( 8 ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9999 )UPLO, N, IMAT, 8,
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$ RESULT( 8 )
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NFAIL = NFAIL + 1
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END IF
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NRUN = NRUN + 1
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90 CONTINUE
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100 CONTINUE
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110 CONTINUE
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*
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* Print a summary of the results.
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*
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CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
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*
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9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', type ', I2, ', test ',
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$ I2, ', ratio =', G12.5 )
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9998 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', NRHS=', I3, ', type ',
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$ I2, ', test(', I2, ') =', G12.5 )
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RETURN
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*
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* End of SCHKPP
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*
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END
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