456 lines
14 KiB
Fortran
456 lines
14 KiB
Fortran
*> \brief \b ZCHKQR
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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 ZCHKQR( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
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* NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC,
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* B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT )
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*
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* .. Scalar Arguments ..
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* LOGICAL TSTERR
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* INTEGER NM, NMAX, NN, NNB, NOUT, NRHS
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* DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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* LOGICAL DOTYPE( * )
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* INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
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* $ NXVAL( * )
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* DOUBLE PRECISION RWORK( * )
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* COMPLEX*16 A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
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* $ B( * ), TAU( * ), 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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*> ZCHKQR tests ZGEQRF, ZUNGQR and ZUNMQR.
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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] NRHS
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*> \verbatim
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*> NRHS is INTEGER
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*> The number of right hand side vectors to be generated for
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*> each linear system.
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*> \endverbatim
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*>
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*> \param[in] THRESH
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*> \verbatim
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*> THRESH is DOUBLE PRECISION
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*> The threshold value for the test ratios. A result is
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*> included in the output file if RESULT >= THRESH. To have
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*> every test ratio printed, use THRESH = 0.
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*> \endverbatim
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*>
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*> \param[in] TSTERR
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*> \verbatim
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*> TSTERR is LOGICAL
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*> Flag that indicates whether error exits are to be tested.
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*> \endverbatim
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*>
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*> \param[in] NMAX
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*> \verbatim
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*> NMAX is INTEGER
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*> The maximum value permitted for M or N, used in dimensioning
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*> the work arrays.
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*> \endverbatim
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*>
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*> \param[out] A
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*> \verbatim
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*> A is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AF
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*> \verbatim
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*> AF is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AQ
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*> \verbatim
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*> AQ is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AR
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*> \verbatim
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*> AR is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AC
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*> \verbatim
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*> AC is COMPLEX*16 array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] B
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*> \verbatim
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*> B is COMPLEX*16 array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] X
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*> \verbatim
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*> X is COMPLEX*16 array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] XACT
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*> \verbatim
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*> XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
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*> \endverbatim
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*>
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*> \param[out] TAU
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*> \verbatim
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*> TAU is COMPLEX*16 array, dimension (NMAX)
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*> \endverbatim
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*>
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*> \param[out] WORK
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*> \verbatim
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*> WORK is COMPLEX*16 array, dimension (NMAX*NMAX)
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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 (NMAX)
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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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*> \ingroup complex16_lin
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*
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* =====================================================================
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SUBROUTINE ZCHKQR( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
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$ NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC,
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$ B, X, XACT, TAU, WORK, RWORK, IWORK, 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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LOGICAL TSTERR
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INTEGER NM, NMAX, NN, NNB, NOUT, NRHS
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DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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LOGICAL DOTYPE( * )
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INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
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$ NXVAL( * )
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DOUBLE PRECISION RWORK( * )
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COMPLEX*16 A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
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$ B( * ), TAU( * ), 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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INTEGER NTESTS
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PARAMETER ( NTESTS = 9 )
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INTEGER NTYPES
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PARAMETER ( NTYPES = 8 )
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DOUBLE PRECISION ZERO
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PARAMETER ( ZERO = 0.0D0 )
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* ..
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* .. Local Scalars ..
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CHARACTER DIST, TYPE
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CHARACTER*3 PATH
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INTEGER I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA,
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$ LWORK, M, MINMN, MODE, N, NB, NERRS, NFAIL, NK,
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$ NRUN, NT, NX
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DOUBLE PRECISION ANORM, CNDNUM
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* ..
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* .. Local Arrays ..
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INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
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DOUBLE PRECISION RESULT( NTESTS )
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* ..
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* .. External Functions ..
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LOGICAL ZGENND
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EXTERNAL ZGENND
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAERH, ALAHD, ALASUM, XLAENV, ZERRQR, ZGEQRS,
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$ ZGET02, ZLACPY, ZLARHS, ZLATB4, ZLATMS, ZQRT01,
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$ ZQRT01P, ZQRT02, ZQRT03
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC MAX, MIN
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* ..
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* .. Scalars in Common ..
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LOGICAL LERR, OK
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CHARACTER*32 SRNAMT
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INTEGER INFOT, NUNIT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, NUNIT, OK, LERR
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COMMON / SRNAMC / SRNAMT
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* ..
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* .. Data statements ..
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DATA ISEEDY / 1988, 1989, 1990, 1991 /
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* ..
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* .. Executable Statements ..
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*
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* Initialize constants and the random number seed.
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*
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PATH( 1: 1 ) = 'Zomplex precision'
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PATH( 2: 3 ) = 'QR'
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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 ZERRQR( PATH, NOUT )
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INFOT = 0
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CALL XLAENV( 2, 2 )
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*
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LDA = NMAX
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LWORK = NMAX*MAX( NMAX, NRHS )
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*
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* Do for each value of M in MVAL.
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*
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DO 70 IM = 1, NM
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M = MVAL( IM )
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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 60 IN = 1, NN
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N = NVAL( IN )
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MINMN = MIN( M, N )
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DO 50 IMAT = 1, NTYPES
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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 50
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*
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* Set up parameters with ZLATB4 and generate a test matrix
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* with ZLATMS.
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*
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CALL ZLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE,
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$ CNDNUM, DIST )
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*
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SRNAMT = 'ZLATMS'
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CALL ZLATMS( M, N, DIST, ISEED, TYPE, RWORK, MODE,
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$ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
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$ WORK, INFO )
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*
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* Check error code from ZLATMS.
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*
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IF( INFO.NE.0 ) THEN
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CALL ALAERH( PATH, 'ZLATMS', INFO, 0, ' ', M, N, -1,
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$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
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GO TO 50
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END IF
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*
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* Set some values for K: the first value must be MINMN,
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* corresponding to the call of ZQRT01; other values are
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* used in the calls of ZQRT02, and must not exceed MINMN.
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*
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KVAL( 1 ) = MINMN
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KVAL( 2 ) = 0
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KVAL( 3 ) = 1
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KVAL( 4 ) = MINMN / 2
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IF( MINMN.EQ.0 ) THEN
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NK = 1
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ELSE IF( MINMN.EQ.1 ) THEN
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NK = 2
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ELSE IF( MINMN.LE.3 ) THEN
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NK = 3
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ELSE
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NK = 4
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END IF
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*
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* Do for each value of K in KVAL
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*
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DO 40 IK = 1, NK
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K = KVAL( IK )
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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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DO 30 INB = 1, NNB
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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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DO I = 1, NTESTS
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RESULT( I ) = ZERO
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END DO
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NT = 2
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IF( IK.EQ.1 ) THEN
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*
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* Test ZGEQRF
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*
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CALL ZQRT01( M, N, A, AF, AQ, AR, LDA, TAU,
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$ WORK, LWORK, RWORK, RESULT( 1 ) )
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*
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* Test ZGEQRFP
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*
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CALL ZQRT01P( M, N, A, AF, AQ, AR, LDA, TAU,
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$ WORK, LWORK, RWORK, RESULT( 8 ) )
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IF( .NOT. ZGENND( M, N, AF, LDA ) )
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$ RESULT( 9 ) = 2*THRESH
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NT = NT + 1
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ELSE IF( M.GE.N ) THEN
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*
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* Test ZUNGQR, using factorization
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* returned by ZQRT01
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*
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CALL ZQRT02( M, N, K, A, AF, AQ, AR, LDA, TAU,
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$ WORK, LWORK, RWORK, RESULT( 1 ) )
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END IF
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IF( M.GE.K ) THEN
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*
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* Test ZUNMQR, using factorization returned
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* by ZQRT01
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*
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CALL ZQRT03( M, N, K, AF, AC, AR, AQ, LDA, TAU,
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$ WORK, LWORK, RWORK, RESULT( 3 ) )
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NT = NT + 4
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*
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* If M>=N and K=N, call ZGEQRS to solve a system
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* with NRHS right hand sides and compute the
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* residual.
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*
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IF( K.EQ.N .AND. INB.EQ.1 ) THEN
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*
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* Generate a solution and set the right
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* hand side.
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*
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SRNAMT = 'ZLARHS'
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CALL ZLARHS( PATH, 'New', 'Full',
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$ 'No transpose', M, N, 0, 0,
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$ NRHS, A, LDA, XACT, LDA, B, LDA,
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$ ISEED, INFO )
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*
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CALL ZLACPY( 'Full', M, NRHS, B, LDA, X,
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$ LDA )
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SRNAMT = 'ZGEQRS'
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CALL ZGEQRS( M, N, NRHS, AF, LDA, TAU, X,
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$ LDA, WORK, LWORK, INFO )
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*
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* Check error code from ZGEQRS.
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*
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IF( INFO.NE.0 )
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$ CALL ALAERH( PATH, 'ZGEQRS', INFO, 0, ' ',
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$ M, N, NRHS, -1, NB, IMAT,
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$ NFAIL, NERRS, NOUT )
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*
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CALL ZGET02( 'No transpose', M, N, NRHS, A,
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$ LDA, X, LDA, B, LDA, RWORK,
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$ RESULT( 7 ) )
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NT = NT + 1
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END IF
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END IF
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*
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* Print information about the tests that did not
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* pass the threshold.
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*
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DO 20 I = 1, NTESTS
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IF( RESULT( I ).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 )M, N, K, NB, NX,
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$ IMAT, I, RESULT( I )
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NFAIL = NFAIL + 1
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END IF
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20 CONTINUE
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NRUN = NRUN + NTESTS
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30 CONTINUE
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40 CONTINUE
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50 CONTINUE
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60 CONTINUE
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70 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( ' M=', I5, ', N=', I5, ', K=', I5, ', NB=', I4, ', NX=',
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$ I5, ', type ', I2, ', test(', I2, ')=', G12.5 )
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RETURN
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*
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* End of ZCHKQR
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*
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END
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