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456 lines
14 KiB
456 lines
14 KiB
2 years ago
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*> \brief \b DDRVAC
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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 DDRVAC( DOTYPE, NM, MVAL, NNS, NSVAL, THRESH, NMAX,
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* A, AFAC, B, X, WORK,
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* RWORK, SWORK, NOUT )
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*
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* .. Scalar Arguments ..
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* INTEGER NMAX, NM, NNS, NOUT
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* DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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* LOGICAL DOTYPE( * )
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* INTEGER MVAL( * ), NSVAL( * )
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* REAL SWORK(*)
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* DOUBLE PRECISION A( * ), AFAC( * ), B( * ),
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* $ RWORK( * ), WORK( * ), X( * )
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> DDRVAC tests DSPOSV.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] DOTYPE
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*> \verbatim
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*> DOTYPE is LOGICAL array, dimension (NTYPES)
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*> The matrix types to be used for testing. Matrices of type j
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*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
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*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
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*> \endverbatim
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*>
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*> \param[in] NM
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*> \verbatim
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*> NM is INTEGER
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*> The number of values of N contained in the vector MVAL.
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*> \endverbatim
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*>
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*> \param[in] MVAL
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*> \verbatim
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*> MVAL is INTEGER array, dimension (NM)
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*> The values of the matrix 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 DOUBLE PRECISION
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*> The threshold value for the test ratios. A result is
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*> included in the output file if RESULT >= THRESH. To have
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*> every test ratio printed, use THRESH = 0.
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*> \endverbatim
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*>
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*> \param[in] NMAX
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*> \verbatim
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*> NMAX is INTEGER
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*> The maximum value permitted for 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (NMAX*NSMAX)
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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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension
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*> (max(2*NMAX,2*NSMAX+NWORK))
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*> \endverbatim
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*>
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*> \param[out] SWORK
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*> \verbatim
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*> SWORK is REAL array, dimension
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*> (NMAX*(NSMAX+NMAX))
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*> \endverbatim
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*>
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*> \param[in] NOUT
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*> \verbatim
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*> NOUT is INTEGER
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*> The unit number for output.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup double_lin
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*
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* =====================================================================
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SUBROUTINE DDRVAC( DOTYPE, NM, MVAL, NNS, NSVAL, THRESH, NMAX,
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$ A, AFAC, B, X, WORK,
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$ RWORK, SWORK, NOUT )
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*
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* -- LAPACK test routine --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* .. Scalar Arguments ..
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INTEGER NMAX, NM, NNS, NOUT
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DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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LOGICAL DOTYPE( * )
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INTEGER MVAL( * ), NSVAL( * )
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REAL SWORK(*)
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DOUBLE PRECISION A( * ), AFAC( * ), B( * ),
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$ RWORK( * ), WORK( * ), X( * )
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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DOUBLE PRECISION ZERO
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PARAMETER ( ZERO = 0.0D+0 )
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INTEGER NTYPES
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PARAMETER ( NTYPES = 9 )
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INTEGER NTESTS
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PARAMETER ( NTESTS = 1 )
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* ..
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* .. Local Scalars ..
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LOGICAL ZEROT
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CHARACTER DIST, TYPE, UPLO, XTYPE
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CHARACTER*3 PATH
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INTEGER I, IM, IMAT, INFO, IOFF, IRHS, IUPLO,
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$ IZERO, KL, KU, LDA, MODE, N,
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$ NERRS, NFAIL, NIMAT, NRHS, NRUN
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DOUBLE PRECISION ANORM, CNDNUM
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* ..
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* .. Local Arrays ..
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CHARACTER UPLOS( 2 )
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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DOUBLE PRECISION RESULT( NTESTS )
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* ..
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* .. Local Variables ..
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INTEGER ITER, KASE
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* ..
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* .. External Functions ..
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LOGICAL LSAME
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EXTERNAL LSAME
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAERH, DLACPY,
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$ DLARHS, DLASET, DLATB4, DLATMS,
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$ DPOT06, DSPOSV
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC DBLE, MAX, SQRT
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* ..
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* .. Scalars in Common ..
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LOGICAL LERR, OK
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CHARACTER*32 SRNAMT
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INTEGER INFOT, NUNIT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, NUNIT, OK, LERR
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COMMON / SRNAMC / SRNAMT
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* ..
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* .. Data statements ..
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DATA ISEEDY / 1988, 1989, 1990, 1991 /
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DATA UPLOS / 'U', 'L' /
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* ..
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* .. Executable Statements ..
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*
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* Initialize constants and the random number seed.
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*
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KASE = 0
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PATH( 1: 1 ) = 'Double precision'
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PATH( 2: 3 ) = 'PO'
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NRUN = 0
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NFAIL = 0
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NERRS = 0
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DO 10 I = 1, 4
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ISEED( I ) = ISEEDY( I )
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10 CONTINUE
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*
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INFOT = 0
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*
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* Do for each value of N in MVAL
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*
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DO 120 IM = 1, NM
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N = MVAL( IM )
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LDA = MAX( N, 1 )
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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 110 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 110
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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 110
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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 100 IUPLO = 1, 2
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UPLO = UPLOS( IUPLO )
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*
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* Set up parameters with DLATB4 and generate a test matrix
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* with DLATMS.
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*
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CALL DLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
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$ CNDNUM, DIST )
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*
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SRNAMT = 'DLATMS'
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CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
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$ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
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$ INFO )
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*
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* Check error code from DLATMS.
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*
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IF( INFO.NE.0 ) THEN
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CALL ALAERH( PATH, 'DLATMS', INFO, 0, UPLO, N, N, -1,
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$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
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GO TO 100
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END IF
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*
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* For types 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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IOFF = ( IZERO-1 )*LDA
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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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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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IZERO = 0
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END IF
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*
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DO 60 IRHS = 1, NNS
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NRHS = NSVAL( IRHS )
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XTYPE = 'N'
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*
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* Form an exact solution and set the right hand side.
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*
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SRNAMT = 'DLARHS'
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CALL DLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
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$ NRHS, A, LDA, X, LDA, B, LDA,
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$ ISEED, INFO )
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*
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* Compute the L*L' or U'*U factorization of the
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* matrix and solve the system.
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*
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SRNAMT = 'DSPOSV '
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KASE = KASE + 1
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*
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CALL DLACPY( 'All', N, N, A, LDA, AFAC, LDA)
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*
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CALL DSPOSV( UPLO, N, NRHS, AFAC, LDA, B, LDA, X, LDA,
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$ WORK, SWORK, ITER, INFO )
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IF (ITER.LT.0) THEN
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CALL DLACPY( 'All', N, N, A, LDA, AFAC, LDA )
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ENDIF
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*
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* Check error code from DSPOSV .
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*
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IF( INFO.NE.IZERO ) THEN
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*
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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NERRS = NERRS + 1
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*
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IF( INFO.NE.IZERO .AND. IZERO.NE.0 ) THEN
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WRITE( NOUT, FMT = 9988 )'DSPOSV',INFO,IZERO,N,
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$ IMAT
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ELSE
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WRITE( NOUT, FMT = 9975 )'DSPOSV',INFO,N,IMAT
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END IF
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END IF
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*
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* Skip the remaining test if the matrix is singular.
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*
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IF( INFO.NE.0 )
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$ GO TO 110
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*
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* Check the quality of the solution
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*
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CALL DLACPY( 'All', N, NRHS, B, LDA, WORK, LDA )
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*
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CALL DPOT06( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
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$ LDA, RWORK, RESULT( 1 ) )
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*
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* Check if the test passes the testing.
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* Print information about the tests that did not
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* pass the testing.
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*
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* If iterative refinement has been used and claimed to
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* be successful (ITER>0), we want
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* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS*SRQT(N)) < 1
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*
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* If double precision has been used (ITER<0), we want
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* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS) < THRES
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||
|
|
* (Cf. the linear solver testing routines)
|
||
|
|
*
|
||
|
|
IF ((THRESH.LE.0.0E+00)
|
||
|
|
$ .OR.((ITER.GE.0).AND.(N.GT.0)
|
||
|
|
$ .AND.(RESULT(1).GE.SQRT(DBLE(N))))
|
||
|
|
$ .OR.((ITER.LT.0).AND.(RESULT(1).GE.THRESH))) THEN
|
||
|
|
*
|
||
|
|
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 ) THEN
|
||
|
|
WRITE( NOUT, FMT = 8999 )'DPO'
|
||
|
|
WRITE( NOUT, FMT = '( '' Matrix types:'' )' )
|
||
|
|
WRITE( NOUT, FMT = 8979 )
|
||
|
|
WRITE( NOUT, FMT = '( '' Test ratios:'' )' )
|
||
|
|
WRITE( NOUT, FMT = 8960 )1
|
||
|
|
WRITE( NOUT, FMT = '( '' Messages:'' )' )
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
WRITE( NOUT, FMT = 9998 )UPLO, N, NRHS, IMAT, 1,
|
||
|
|
$ RESULT( 1 )
|
||
|
|
*
|
||
|
|
NFAIL = NFAIL + 1
|
||
|
|
*
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
NRUN = NRUN + 1
|
||
|
|
*
|
||
|
|
60 CONTINUE
|
||
|
|
100 CONTINUE
|
||
|
|
110 CONTINUE
|
||
|
|
120 CONTINUE
|
||
|
|
*
|
||
|
|
* Print a summary of the results.
|
||
|
|
*
|
||
|
|
IF( NFAIL.GT.0 ) THEN
|
||
|
|
WRITE( NOUT, FMT = 9996 )'DSPOSV', NFAIL, NRUN
|
||
|
|
ELSE
|
||
|
|
WRITE( NOUT, FMT = 9995 )'DSPOSV', NRUN
|
||
|
|
END IF
|
||
|
|
IF( NERRS.GT.0 ) THEN
|
||
|
|
WRITE( NOUT, FMT = 9994 )NERRS
|
||
|
|
END IF
|
||
|
|
*
|
||
|
|
9998 FORMAT( ' UPLO=''', A1, ''', N =', I5, ', NRHS=', I3, ', type ',
|
||
|
|
$ I2, ', test(', I2, ') =', G12.5 )
|
||
|
|
9996 FORMAT( 1X, A6, ': ', I6, ' out of ', I6,
|
||
|
|
$ ' tests failed to pass the threshold' )
|
||
|
|
9995 FORMAT( /1X, 'All tests for ', A6,
|
||
|
|
$ ' routines passed the threshold ( ', I6, ' tests run)' )
|
||
|
|
9994 FORMAT( 6X, I6, ' error messages recorded' )
|
||
|
|
*
|
||
|
|
* SUBNAM, INFO, INFOE, N, IMAT
|
||
|
|
*
|
||
|
|
9988 FORMAT( ' *** ', A6, ' returned with INFO =', I5, ' instead of ',
|
||
|
|
$ I5, / ' ==> N =', I5, ', type ',
|
||
|
|
$ I2 )
|
||
|
|
*
|
||
|
|
* SUBNAM, INFO, N, IMAT
|
||
|
|
*
|
||
|
|
9975 FORMAT( ' *** Error code from ', A6, '=', I5, ' for M=', I5,
|
||
|
|
$ ', type ', I2 )
|
||
|
|
8999 FORMAT( / 1X, A3, ': positive definite dense matrices' )
|
||
|
|
8979 FORMAT( 4X, '1. Diagonal', 24X, '7. Last n/2 columns zero', / 4X,
|
||
|
|
$ '2. Upper triangular', 16X,
|
||
|
|
$ '8. Random, CNDNUM = sqrt(0.1/EPS)', / 4X,
|
||
|
|
$ '3. Lower triangular', 16X, '9. Random, CNDNUM = 0.1/EPS',
|
||
|
|
$ / 4X, '4. Random, CNDNUM = 2', 13X,
|
||
|
|
$ '10. Scaled near underflow', / 4X, '5. First column zero',
|
||
|
|
$ 14X, '11. Scaled near overflow', / 4X,
|
||
|
|
$ '6. Last column zero' )
|
||
|
|
8960 FORMAT( 3X, I2, ': norm_1( B - A * X ) / ',
|
||
|
|
$ '( norm_1(A) * norm_1(X) * EPS * SQRT(N) ) > 1 if ITERREF',
|
||
|
|
$ / 4x, 'or norm_1( B - A * X ) / ',
|
||
|
|
$ '( norm_1(A) * norm_1(X) * EPS ) > THRES if DPOTRF' )
|
||
|
|
|
||
|
|
RETURN
|
||
|
|
*
|
||
|
|
* End of DDRVAC
|
||
|
|
*
|
||
|
|
END
|