369 lines
11 KiB
Fortran
369 lines
11 KiB
Fortran
*> \brief \b SCHKQ3
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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 SCHKQ3( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
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* THRESH, A, COPYA, S, TAU, WORK, IWORK,
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* NOUT )
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*
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* .. Scalar Arguments ..
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* INTEGER NM, NN, NNB, 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( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
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* $ NXVAL( * )
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* REAL A( * ), COPYA( * ), S( * ),
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* $ TAU( * ), WORK( * )
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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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*> SCHKQ3 tests SGEQP3.
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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 M 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 row dimension M.
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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 column dimension N.
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*> \endverbatim
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*>
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*> \param[in] NNB
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*> \verbatim
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*> NNB is INTEGER
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*> The number of values of NB and NX contained in the
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*> vectors NBVAL and NXVAL. The blocking parameters are used
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*> in pairs (NB,NX).
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*> \endverbatim
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*>
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*> \param[in] NBVAL
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*> \verbatim
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*> NBVAL is INTEGER array, dimension (NNB)
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*> The values of the blocksize NB.
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*> \endverbatim
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*>
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*> \param[in] NXVAL
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*> \verbatim
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*> NXVAL is INTEGER array, dimension (NNB)
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*> The values of the crossover point NX.
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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[out] A
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*> \verbatim
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*> A is REAL array, dimension (MMAX*NMAX)
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*> where MMAX is the maximum value of M in MVAL and NMAX is the
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*> maximum value of N in NVAL.
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*> \endverbatim
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*>
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*> \param[out] COPYA
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*> \verbatim
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*> COPYA is REAL array, dimension (MMAX*NMAX)
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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
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*> (min(MMAX,NMAX))
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*> \endverbatim
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*>
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*> \param[out] TAU
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*> \verbatim
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*> TAU is REAL array, dimension (MMAX)
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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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*> (MMAX*NMAX + 4*NMAX + MMAX)
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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 (2*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 SCHKQ3( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
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$ THRESH, A, COPYA, S, TAU, WORK, IWORK,
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$ 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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INTEGER NM, NN, NNB, 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( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
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$ NXVAL( * )
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REAL A( * ), COPYA( * ), S( * ),
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$ TAU( * ), WORK( * )
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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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INTEGER NTYPES
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PARAMETER ( NTYPES = 6 )
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INTEGER NTESTS
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PARAMETER ( NTESTS = 3 )
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REAL ONE, ZERO
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PARAMETER ( ONE = 1.0E0, ZERO = 0.0E0 )
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* ..
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* .. Local Scalars ..
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CHARACTER*3 PATH
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INTEGER I, IHIGH, ILOW, IM, IMODE, IN, INB, INFO,
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$ ISTEP, K, LDA, LW, LWORK, M, MNMIN, MODE, N,
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$ NB, NERRS, NFAIL, NRUN, NX
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REAL EPS
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* ..
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* .. Local Arrays ..
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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 SLAMCH, SQPT01, SQRT11, SQRT12
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EXTERNAL SLAMCH, SQPT01, SQRT11, SQRT12
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAHD, ALASUM, ICOPY, SGEQP3, SLACPY, SLAORD,
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$ SLASET, SLATMS, 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, IOUNIT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, IOUNIT, 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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* ..
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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 ) = 'Q3'
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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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EPS = SLAMCH( 'Epsilon' )
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INFOT = 0
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*
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DO 90 IM = 1, NM
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*
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* Do for each value of M in MVAL.
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*
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M = MVAL( IM )
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LDA = MAX( 1, M )
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*
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DO 80 IN = 1, NN
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*
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* Do for each value of N in NVAL.
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*
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N = NVAL( IN )
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MNMIN = MIN( M, N )
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LWORK = MAX( 1, M*MAX( M, N )+4*MNMIN+MAX( M, N ),
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$ M*N + 2*MNMIN + 4*N )
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*
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DO 70 IMODE = 1, NTYPES
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IF( .NOT.DOTYPE( IMODE ) )
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$ GO TO 70
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*
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* Do for each type of matrix
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* 1: zero matrix
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* 2: one small singular value
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* 3: geometric distribution of singular values
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* 4: first n/2 columns fixed
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* 5: last n/2 columns fixed
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* 6: every second column fixed
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*
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MODE = IMODE
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IF( IMODE.GT.3 )
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$ MODE = 1
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*
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* Generate test matrix of size m by n using
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* singular value distribution indicated by `mode'.
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*
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DO 20 I = 1, N
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IWORK( I ) = 0
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20 CONTINUE
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IF( IMODE.EQ.1 ) THEN
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CALL SLASET( 'Full', M, N, ZERO, ZERO, COPYA, LDA )
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DO 30 I = 1, MNMIN
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S( I ) = ZERO
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30 CONTINUE
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ELSE
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CALL SLATMS( M, N, 'Uniform', ISEED, 'Nonsymm', S,
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$ MODE, ONE / EPS, ONE, M, N, 'No packing',
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$ COPYA, LDA, WORK, INFO )
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IF( IMODE.GE.4 ) THEN
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IF( IMODE.EQ.4 ) THEN
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ILOW = 1
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ISTEP = 1
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IHIGH = MAX( 1, N / 2 )
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ELSE IF( IMODE.EQ.5 ) THEN
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ILOW = MAX( 1, N / 2 )
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ISTEP = 1
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IHIGH = N
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ELSE IF( IMODE.EQ.6 ) THEN
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ILOW = 1
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ISTEP = 2
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IHIGH = N
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END IF
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DO 40 I = ILOW, IHIGH, ISTEP
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IWORK( I ) = 1
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40 CONTINUE
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END IF
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CALL SLAORD( 'Decreasing', MNMIN, S, 1 )
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END IF
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*
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DO 60 INB = 1, NNB
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*
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* Do for each pair of values (NB,NX) in NBVAL and NXVAL.
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*
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NB = NBVAL( INB )
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CALL XLAENV( 1, NB )
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NX = NXVAL( INB )
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CALL XLAENV( 3, NX )
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*
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* Get a working copy of COPYA into A and a copy of
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* vector IWORK.
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*
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CALL SLACPY( 'All', M, N, COPYA, LDA, A, LDA )
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CALL ICOPY( N, IWORK( 1 ), 1, IWORK( N+1 ), 1 )
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*
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* Compute the QR factorization with pivoting of A
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*
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LW = MAX( 1, 2*N+NB*( N+1 ) )
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*
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* Compute the QP3 factorization of A
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*
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SRNAMT = 'SGEQP3'
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CALL SGEQP3( M, N, A, LDA, IWORK( N+1 ), TAU, WORK,
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$ LW, INFO )
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*
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* Compute norm(svd(a) - svd(r))
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*
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RESULT( 1 ) = SQRT12( M, N, A, LDA, S, WORK,
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$ LWORK )
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*
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* Compute norm( A*P - Q*R )
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*
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RESULT( 2 ) = SQPT01( M, N, MNMIN, COPYA, A, LDA, TAU,
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$ IWORK( N+1 ), WORK, LWORK )
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*
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* Compute Q'*Q
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*
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RESULT( 3 ) = SQRT11( M, MNMIN, A, LDA, TAU, WORK,
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$ LWORK )
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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 50 K = 1, NTESTS
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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 )'SGEQP3', M, N, NB,
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$ IMODE, K, RESULT( K )
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NFAIL = NFAIL + 1
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END IF
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50 CONTINUE
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NRUN = NRUN + NTESTS
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*
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60 CONTINUE
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70 CONTINUE
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80 CONTINUE
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90 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( 1X, A, ' M =', I5, ', N =', I5, ', NB =', I4, ', type ',
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$ I2, ', test ', I2, ', ratio =', G12.5 )
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*
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* End of SCHKQ3
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*
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END
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