361 lines
10 KiB
Fortran
361 lines
10 KiB
Fortran
*> \brief \b SCHKPS
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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 SCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
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* THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
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* RWORK, NOUT )
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*
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* .. Scalar Arguments ..
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* REAL THRESH
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* INTEGER NMAX, NN, NNB, NOUT, NRANK
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* LOGICAL TSTERR
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* ..
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* .. Array Arguments ..
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* REAL A( * ), AFAC( * ), PERM( * ), RWORK( * ),
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* $ WORK( * )
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* INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
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* LOGICAL DOTYPE( * )
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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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*> SCHKPS tests SPSTRF.
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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] 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 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 contained in the vector NBVAL.
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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 block size NB.
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*> \endverbatim
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*>
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*> \param[in] NRANK
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*> \verbatim
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*> NRANK is INTEGER
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*> The number of values of RANK contained in the vector RANKVAL.
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*> \endverbatim
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*>
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*> \param[in] RANKVAL
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*> \verbatim
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*> RANKVAL is INTEGER array, dimension (NBVAL)
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*> The values of the block size NB.
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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] 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 N, used in dimensioning the
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*> work arrays.
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*> \endverbatim
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*>
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*> \param[out] A
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*> \verbatim
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*> A is REAL array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] AFAC
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*> \verbatim
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*> AFAC is REAL array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] PERM
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*> \verbatim
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*> PERM is REAL array, dimension (NMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] PIV
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*> \verbatim
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*> PIV 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 REAL array, dimension (NMAX*3)
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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] 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 single_lin
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*
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* =====================================================================
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SUBROUTINE SCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
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$ THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
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$ RWORK, 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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REAL THRESH
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INTEGER NMAX, NN, NNB, NOUT, NRANK
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LOGICAL TSTERR
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* ..
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* .. Array Arguments ..
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REAL A( * ), AFAC( * ), PERM( * ), RWORK( * ),
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$ WORK( * )
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INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
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LOGICAL DOTYPE( * )
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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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REAL ONE
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PARAMETER ( ONE = 1.0E+0 )
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INTEGER NTYPES
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PARAMETER ( NTYPES = 9 )
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* ..
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* .. Local Scalars ..
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REAL ANORM, CNDNUM, RESULT, TOL
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INTEGER COMPRANK, I, IMAT, IN, INB, INFO, IRANK, IUPLO,
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$ IZERO, KL, KU, LDA, MODE, N, NB, NERRS, NFAIL,
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$ NIMAT, NRUN, RANK, RANKDIFF
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CHARACTER DIST, TYPE, UPLO
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CHARACTER*3 PATH
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* ..
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* .. Local Arrays ..
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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CHARACTER UPLOS( 2 )
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAERH, ALAHD, ALASUM, SERRPS, SLACPY, SLATB5,
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$ SLATMT, SPST01, SPSTRF, XLAENV
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* ..
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* .. Scalars in Common ..
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INTEGER INFOT, NUNIT
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LOGICAL LERR, OK
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CHARACTER*32 SRNAMT
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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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* .. Intrinsic Functions ..
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INTRINSIC MAX, REAL, CEILING
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* ..
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* .. Data statements ..
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DATA ISEEDY / 1988, 1989, 1990, 1991 /
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DATA UPLOS / 'U', 'L' /
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* ..
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* .. Executable Statements ..
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*
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* Initialize constants and the random number seed.
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*
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PATH( 1: 1 ) = 'Single Precision'
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PATH( 2: 3 ) = 'PS'
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NRUN = 0
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NFAIL = 0
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NERRS = 0
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DO 100 I = 1, 4
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ISEED( I ) = ISEEDY( I )
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100 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 SERRPS( PATH, NOUT )
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INFOT = 0
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CALL XLAENV( 2, 2 )
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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 150 IN = 1, NN
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N = NVAL( IN )
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LDA = MAX( N, 1 )
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NIMAT = NTYPES
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IF( N.LE.0 )
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$ NIMAT = 1
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*
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IZERO = 0
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DO 140 IMAT = 1, NIMAT
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*
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* Do the tests only if DOTYPE( IMAT ) is true.
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*
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IF( .NOT.DOTYPE( IMAT ) )
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$ GO TO 140
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*
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* Do for each value of RANK in RANKVAL
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*
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DO 130 IRANK = 1, NRANK
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*
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* Only repeat test 3 to 5 for different ranks
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* Other tests use full rank
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*
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IF( ( IMAT.LT.3 .OR. IMAT.GT.5 ) .AND. IRANK.GT.1 )
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$ GO TO 130
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*
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RANK = CEILING( ( N * REAL( RANKVAL( IRANK ) ) )
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$ / 100.E+0 )
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*
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*
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* Do first for UPLO = 'U', then for UPLO = 'L'
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*
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DO 120 IUPLO = 1, 2
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UPLO = UPLOS( IUPLO )
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*
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* Set up parameters with SLATB5 and generate a test matrix
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* with SLATMT.
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*
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CALL SLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM,
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$ MODE, CNDNUM, DIST )
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*
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SRNAMT = 'SLATMT'
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CALL SLATMT( N, N, DIST, ISEED, TYPE, RWORK, MODE,
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$ CNDNUM, ANORM, RANK, KL, KU, UPLO, A,
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$ LDA, WORK, INFO )
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*
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* Check error code from SLATMT.
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*
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IF( INFO.NE.0 ) THEN
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CALL ALAERH( PATH, 'SLATMT', INFO, 0, UPLO, N,
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$ N, -1, -1, -1, IMAT, NFAIL, NERRS,
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$ NOUT )
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GO TO 120
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END IF
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*
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* Do for each value of NB in NBVAL
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*
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DO 110 INB = 1, NNB
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NB = NBVAL( INB )
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CALL XLAENV( 1, NB )
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*
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* Compute the pivoted L*L' or U'*U factorization
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* of the matrix.
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*
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CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
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SRNAMT = 'SPSTRF'
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*
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* Use default tolerance
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*
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TOL = -ONE
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CALL SPSTRF( UPLO, N, AFAC, LDA, PIV, COMPRANK,
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$ TOL, WORK, INFO )
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*
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* Check error code from SPSTRF.
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*
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IF( (INFO.LT.IZERO)
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$ .OR.(INFO.NE.IZERO.AND.RANK.EQ.N)
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$ .OR.(INFO.LE.IZERO.AND.RANK.LT.N) ) THEN
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CALL ALAERH( PATH, 'SPSTRF', INFO, IZERO,
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$ UPLO, N, N, -1, -1, NB, IMAT,
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$ NFAIL, NERRS, NOUT )
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GO TO 110
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END IF
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*
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* Skip the test if INFO is not 0.
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*
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IF( INFO.NE.0 )
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$ GO TO 110
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*
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* Reconstruct matrix from factors and compute residual.
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*
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* PERM holds permuted L*L^T or U^T*U
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*
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CALL SPST01( UPLO, N, A, LDA, AFAC, LDA, PERM, LDA,
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$ PIV, RWORK, RESULT, COMPRANK )
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*
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* Print information about the tests that did not pass
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* the threshold or where computed rank was not RANK.
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*
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IF( N.EQ.0 )
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$ COMPRANK = 0
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RANKDIFF = RANK - COMPRANK
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IF( RESULT.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 )UPLO, N, RANK,
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$ RANKDIFF, NB, IMAT, RESULT
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NFAIL = NFAIL + 1
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END IF
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NRUN = NRUN + 1
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110 CONTINUE
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*
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120 CONTINUE
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130 CONTINUE
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140 CONTINUE
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150 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( ' UPLO = ''', A1, ''', N =', I5, ', RANK =', I3,
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$ ', Diff =', I5, ', NB =', I4, ', type ', I2, ', Ratio =',
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$ G12.5 )
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RETURN
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*
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* End of SCHKPS
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*
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END
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