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337 lines
9.5 KiB
337 lines
9.5 KiB
2 years ago
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*> \brief \b DCKGSV
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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 DCKGSV( NM, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
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* NMAX, A, AF, B, BF, U, V, Q, ALPHA, BETA, R,
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* IWORK, WORK, RWORK, NIN, NOUT, INFO )
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*
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* .. Scalar Arguments ..
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* INTEGER INFO, NIN, NM, NMATS, NMAX, NOUT
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* DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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* INTEGER ISEED( 4 ), IWORK( * ), MVAL( * ), NVAL( * ),
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* $ PVAL( * )
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* DOUBLE PRECISION A( * ), AF( * ), ALPHA( * ), B( * ), BETA( * ),
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* $ BF( * ), Q( * ), R( * ), RWORK( * ), U( * ),
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* $ V( * ), 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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*> DCKGSV tests DGGSVD:
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*> the GSVD for M-by-N matrix A and P-by-N matrix B.
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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] 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] PVAL
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*> \verbatim
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*> PVAL is INTEGER array, dimension (NP)
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*> The values of the matrix row dimension P.
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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] NMATS
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*> \verbatim
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*> NMATS is INTEGER
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*> The number of matrix types to be tested for each combination
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*> of matrix dimensions. If NMATS >= NTYPES (the maximum
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*> number of matrix types), then all the different types are
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*> generated for testing. If NMATS < NTYPES, another input line
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*> is read to get the numbers of the matrix types to be used.
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*> \endverbatim
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*>
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*> \param[in,out] ISEED
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*> \verbatim
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*> ISEED is INTEGER array, dimension (4)
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*> On entry, the seed of the random number generator. The array
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*> elements should be between 0 and 4095, otherwise they will be
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*> reduced mod 4096, and ISEED(4) must be odd.
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*> On exit, the next seed in the random number sequence after
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*> all the test matrices have been generated.
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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 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 DOUBLE PRECISION 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 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*NMAX)
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*> \endverbatim
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*>
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*> \param[out] BF
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*> \verbatim
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*> BF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] U
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*> \verbatim
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*> U is DOUBLE PRECISION array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] V
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*> \verbatim
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*> V is DOUBLE PRECISION array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] Q
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*> \verbatim
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*> Q is DOUBLE PRECISION array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] ALPHA
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*> \verbatim
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*> ALPHA is DOUBLE PRECISION array, dimension (NMAX)
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*> \endverbatim
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*>
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*> \param[out] BETA
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*> \verbatim
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*> BETA is DOUBLE PRECISION array, dimension (NMAX)
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*> \endverbatim
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*>
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*> \param[out] R
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*> \verbatim
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*> R is DOUBLE PRECISION array, dimension (NMAX*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[out] WORK
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*> \verbatim
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*> WORK is DOUBLE PRECISION 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[in] NIN
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*> \verbatim
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*> NIN is INTEGER
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*> The unit number for input.
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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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*> \param[out] INFO
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*> \verbatim
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*> INFO is INTEGER
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*> = 0 : successful exit
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*> > 0 : If DLATMS returns an error code, the absolute value
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*> of it is returned.
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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_eig
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*
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* =====================================================================
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SUBROUTINE DCKGSV( NM, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
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$ NMAX, A, AF, B, BF, U, V, Q, ALPHA, BETA, R,
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$ IWORK, WORK, RWORK, NIN, NOUT, INFO )
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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 INFO, NIN, NM, NMATS, NMAX, NOUT
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DOUBLE PRECISION THRESH
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* ..
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* .. Array Arguments ..
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INTEGER ISEED( 4 ), IWORK( * ), MVAL( * ), NVAL( * ),
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$ PVAL( * )
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DOUBLE PRECISION A( * ), AF( * ), ALPHA( * ), B( * ), BETA( * ),
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$ BF( * ), Q( * ), R( * ), RWORK( * ), U( * ),
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$ V( * ), 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 NTESTS
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PARAMETER ( NTESTS = 12 )
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INTEGER NTYPES
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PARAMETER ( NTYPES = 8 )
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* ..
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* .. Local Scalars ..
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LOGICAL FIRSTT
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CHARACTER DISTA, DISTB, TYPE
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CHARACTER*3 PATH
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INTEGER I, IINFO, IM, IMAT, KLA, KLB, KUA, KUB, LDA,
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$ LDB, LDQ, LDR, LDU, LDV, LWORK, M, MODEA,
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$ MODEB, N, NFAIL, NRUN, NT, P
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DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB
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* ..
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* .. Local Arrays ..
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LOGICAL DOTYPE( NTYPES )
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DOUBLE PRECISION RESULT( NTESTS )
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAHDG, ALAREQ, ALASUM, DGSVTS3, DLATB9, DLATMS
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS
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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: 3 ) = 'GSV'
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INFO = 0
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NRUN = 0
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NFAIL = 0
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FIRSTT = .TRUE.
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CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT )
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LDA = NMAX
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LDB = NMAX
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LDU = NMAX
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LDV = NMAX
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LDQ = NMAX
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LDR = NMAX
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LWORK = NMAX*NMAX
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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 30 IM = 1, NM
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M = MVAL( IM )
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P = PVAL( IM )
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N = NVAL( IM )
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*
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DO 20 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 20
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*
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* Set up parameters with DLATB9 and generate test
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* matrices A and B with DLATMS.
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*
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CALL DLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB,
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$ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
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$ DISTA, DISTB )
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*
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* Generate M by N matrix A
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*
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CALL DLATMS( M, N, DISTA, ISEED, TYPE, RWORK, MODEA, CNDNMA,
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$ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
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$ IINFO )
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IF( IINFO.NE.0 ) THEN
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WRITE( NOUT, FMT = 9999 )IINFO
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INFO = ABS( IINFO )
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GO TO 20
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END IF
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*
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CALL DLATMS( P, N, DISTB, ISEED, TYPE, RWORK, MODEB, CNDNMB,
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$ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
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$ IINFO )
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IF( IINFO.NE.0 ) THEN
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WRITE( NOUT, FMT = 9999 )IINFO
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INFO = ABS( IINFO )
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GO TO 20
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END IF
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*
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NT = 6
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*
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CALL DGSVTS3( M, P, N, A, AF, LDA, B, BF, LDB, U, LDU, V,
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$ LDV, Q, LDQ, ALPHA, BETA, R, LDR, IWORK, WORK,
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$ LWORK, RWORK, RESULT )
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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 10 I = 1, NT
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IF( RESULT( I ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
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FIRSTT = .FALSE.
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CALL ALAHDG( NOUT, PATH )
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END IF
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WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I,
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$ RESULT( I )
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NFAIL = NFAIL + 1
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END IF
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10 CONTINUE
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NRUN = NRUN + NT
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20 CONTINUE
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30 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, 0 )
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*
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9999 FORMAT( ' DLATMS in DCKGSV INFO = ', I5 )
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9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2,
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$ ', test ', I2, ', ratio=', G13.6 )
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RETURN
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*
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* End of DCKGSV
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*
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END
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