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333 lines
9.7 KiB
333 lines
9.7 KiB
*> \brief \b SCKLSE
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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 SCKLSE( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
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* NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
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* INFO )
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*
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* .. Scalar Arguments ..
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* INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
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* REAL THRESH
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* ..
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* .. Array Arguments ..
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* INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
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* REAL A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
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* $ 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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*> SCKLSE tests SGGLSE - a subroutine for solving linear equality
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*> constrained least square problem (LSE).
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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] NN
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*> \verbatim
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*> NN is INTEGER
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*> The number of values of (M,P,N) contained in the vectors
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*> (MVAL, PVAL, NVAL).
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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 (NN)
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*> The values of the matrix row(column) 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 (NN)
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*> The values of the matrix row(column) 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(row) 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 REAL
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*> The threshold value for the test ratios. A result is
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*> included in the output file if RESULT >= THRESH. To have
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*> every test ratio printed, use THRESH = 0.
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*> \endverbatim
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*>
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*> \param[in] 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 REAL 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 REAL 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 REAL 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 REAL array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] X
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*> \verbatim
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*> X is REAL array, dimension (5*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 REAL 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 REAL 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 SLATMS 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 single_eig
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*
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* =====================================================================
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SUBROUTINE SCKLSE( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
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$ NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
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$ 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, NMATS, NMAX, NN, NOUT
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REAL THRESH
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* ..
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* .. Array Arguments ..
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INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
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REAL A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
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$ 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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INTEGER NTESTS
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PARAMETER ( NTESTS = 7 )
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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, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
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$ LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN,
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$ NT, P
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REAL 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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REAL RESULT( NTESTS )
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAHDG, ALAREQ, ALASUM, SLARHS, SLATB9, SLATMS,
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$ SLSETS
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS, MAX
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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 ) = 'LSE'
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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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LWORK = NMAX*NMAX
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*
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* Check for valid input values.
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*
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DO 10 IK = 1, NN
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M = MVAL( IK )
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P = PVAL( IK )
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N = NVAL( IK )
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IF( P.GT.N .OR. N.GT.M+P ) THEN
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IF( FIRSTT ) THEN
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WRITE( NOUT, FMT = * )
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FIRSTT = .FALSE.
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END IF
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WRITE( NOUT, FMT = 9997 )M, P, N
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END IF
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10 CONTINUE
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FIRSTT = .TRUE.
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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 40 IK = 1, NN
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M = MVAL( IK )
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P = PVAL( IK )
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N = NVAL( IK )
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IF( P.GT.N .OR. N.GT.M+P )
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$ GO TO 40
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*
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DO 30 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 30
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*
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* Set up parameters with SLATB9 and generate test
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* matrices A and B with SLATMS.
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*
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CALL SLATB9( 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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CALL SLATMS( 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 30
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END IF
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*
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CALL SLATMS( 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 30
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END IF
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*
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* Generate the right-hand sides C and D for the LSE.
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*
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CALL SLARHS( 'SGE', 'New solution', 'Upper', 'N', M, N,
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$ MAX( M-1, 0 ), MAX( N-1, 0 ), 1, A, LDA,
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$ X( 4*NMAX+1 ), MAX( N, 1 ), X, MAX( M, 1 ),
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$ ISEED, IINFO )
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*
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CALL SLARHS( 'SGE', 'Computed', 'Upper', 'N', P, N,
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$ MAX( P-1, 0 ), MAX( N-1, 0 ), 1, B, LDB,
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$ X( 4*NMAX+1 ), MAX( N, 1 ), X( 2*NMAX+1 ),
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$ MAX( P, 1 ), ISEED, IINFO )
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*
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NT = 2
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*
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CALL SLSETS( M, P, N, A, AF, LDA, B, BF, LDB, X,
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$ X( NMAX+1 ), X( 2*NMAX+1 ), X( 3*NMAX+1 ),
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$ X( 4*NMAX+1 ), WORK, LWORK, RWORK,
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$ RESULT( 1 ) )
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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, 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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20 CONTINUE
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NRUN = NRUN + NT
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*
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30 CONTINUE
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40 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( ' SLATMS in SCKLSE 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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9997 FORMAT( ' *** Invalid input for LSE: M = ', I6, ', P = ', I6,
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$ ', N = ', I6, ';', / ' must satisfy P <= N <= P+M ',
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$ '(this set of values will be skipped)' )
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RETURN
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*
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* End of SCKLSE
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*
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END
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