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|
*> \brief \b SCHKPS
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE SCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
* THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
* RWORK, NOUT )
*
* .. Scalar Arguments ..
* REAL THRESH
* INTEGER NMAX, NN, NNB, NOUT, NRANK
* LOGICAL TSTERR
* ..
* .. Array Arguments ..
* REAL A( * ), AFAC( * ), PERM( * ), RWORK( * ),
* $ WORK( * )
* INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
* LOGICAL DOTYPE( * )
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> SCHKPS tests SPSTRF.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] DOTYPE
*> \verbatim
*> DOTYPE is LOGICAL array, dimension (NTYPES)
*> The matrix types to be used for testing. Matrices of type j
*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
*> \endverbatim
*>
*> \param[in] NN
*> \verbatim
*> NN is INTEGER
*> The number of values of N contained in the vector NVAL.
*> \endverbatim
*>
*> \param[in] NVAL
*> \verbatim
*> NVAL is INTEGER array, dimension (NN)
*> The values of the matrix dimension N.
*> \endverbatim
*>
*> \param[in] NNB
*> \verbatim
*> NNB is INTEGER
*> The number of values of NB contained in the vector NBVAL.
*> \endverbatim
*>
*> \param[in] NBVAL
*> \verbatim
*> NBVAL is INTEGER array, dimension (NBVAL)
*> The values of the block size NB.
*> \endverbatim
*>
*> \param[in] NRANK
*> \verbatim
*> NRANK is INTEGER
*> The number of values of RANK contained in the vector RANKVAL.
*> \endverbatim
*>
*> \param[in] RANKVAL
*> \verbatim
*> RANKVAL is INTEGER array, dimension (NBVAL)
*> The values of the block size NB.
*> \endverbatim
*>
*> \param[in] THRESH
*> \verbatim
*> THRESH is REAL
*> The threshold value for the test ratios. A result is
*> included in the output file if RESULT >= THRESH. To have
*> every test ratio printed, use THRESH = 0.
*> \endverbatim
*>
*> \param[in] TSTERR
*> \verbatim
*> TSTERR is LOGICAL
*> Flag that indicates whether error exits are to be tested.
*> \endverbatim
*>
*> \param[in] NMAX
*> \verbatim
*> NMAX is INTEGER
*> The maximum value permitted for N, used in dimensioning the
*> work arrays.
*> \endverbatim
*>
*> \param[out] A
*> \verbatim
*> A is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AFAC
*> \verbatim
*> AFAC is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] PERM
*> \verbatim
*> PERM is REAL array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] PIV
*> \verbatim
*> PIV is INTEGER array, dimension (NMAX)
*> \endverbatim
*>
*> \param[out] WORK
*> \verbatim
*> WORK is REAL array, dimension (NMAX*3)
*> \endverbatim
*>
*> \param[out] RWORK
*> \verbatim
*> RWORK is REAL array, dimension (NMAX)
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*> NOUT is INTEGER
*> The unit number for output.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2011
*
*> \ingroup single_lin
*
* =====================================================================
SUBROUTINE SCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
$ THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
$ RWORK, NOUT )
*
* -- LAPACK test routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* November 2011
*
* .. Scalar Arguments ..
REAL THRESH
INTEGER NMAX, NN, NNB, NOUT, NRANK
LOGICAL TSTERR
* ..
* .. Array Arguments ..
REAL A( * ), AFAC( * ), PERM( * ), RWORK( * ),
$ WORK( * )
INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
LOGICAL DOTYPE( * )
* ..
*
* =====================================================================
*
* .. Parameters ..
REAL ONE
PARAMETER ( ONE = 1.0E+0 )
INTEGER NTYPES
PARAMETER ( NTYPES = 9 )
* ..
* .. Local Scalars ..
REAL ANORM, CNDNUM, RESULT, TOL
INTEGER COMPRANK, I, IMAT, IN, INB, INFO, IRANK, IUPLO,
$ IZERO, KL, KU, LDA, MODE, N, NB, NERRS, NFAIL,
$ NIMAT, NRUN, RANK, RANKDIFF
CHARACTER DIST, TYPE, UPLO
CHARACTER*3 PATH
* ..
* .. Local Arrays ..
INTEGER ISEED( 4 ), ISEEDY( 4 )
CHARACTER UPLOS( 2 )
* ..
* .. External Subroutines ..
EXTERNAL ALAERH, ALAHD, ALASUM, SERRPS, SLACPY, SLATB5,
$ SLATMT, SPST01, SPSTRF, XLAENV
* ..
* .. Scalars in Common ..
INTEGER INFOT, NUNIT
LOGICAL LERR, OK
CHARACTER*32 SRNAMT
* ..
* .. Common blocks ..
COMMON / INFOC / INFOT, NUNIT, OK, LERR
COMMON / SRNAMC / SRNAMT
* ..
* .. Intrinsic Functions ..
INTRINSIC MAX, REAL, CEILING
* ..
* .. Data statements ..
DATA ISEEDY / 1988, 1989, 1990, 1991 /
DATA UPLOS / 'U', 'L' /
* ..
* .. Executable Statements ..
*
* Initialize constants and the random number seed.
*
PATH( 1: 1 ) = 'Single Precision'
PATH( 2: 3 ) = 'PS'
NRUN = 0
NFAIL = 0
NERRS = 0
DO 100 I = 1, 4
ISEED( I ) = ISEEDY( I )
100 CONTINUE
*
* Test the error exits
*
IF( TSTERR )
$ CALL SERRPS( PATH, NOUT )
INFOT = 0
CALL XLAENV( 2, 2 )
*
* Do for each value of N in NVAL
*
DO 150 IN = 1, NN
N = NVAL( IN )
LDA = MAX( N, 1 )
NIMAT = NTYPES
IF( N.LE.0 )
$ NIMAT = 1
*
IZERO = 0
DO 140 IMAT = 1, NIMAT
*
* Do the tests only if DOTYPE( IMAT ) is true.
*
IF( .NOT.DOTYPE( IMAT ) )
$ GO TO 140
*
* Do for each value of RANK in RANKVAL
*
DO 130 IRANK = 1, NRANK
*
* Only repeat test 3 to 5 for different ranks
* Other tests use full rank
*
IF( ( IMAT.LT.3 .OR. IMAT.GT.5 ) .AND. IRANK.GT.1 )
$ GO TO 130
*
RANK = CEILING( ( N * REAL( RANKVAL( IRANK ) ) )
$ / 100.E+0 )
*
*
* Do first for UPLO = 'U', then for UPLO = 'L'
*
DO 120 IUPLO = 1, 2
UPLO = UPLOS( IUPLO )
*
* Set up parameters with SLATB5 and generate a test matrix
* with SLATMT.
*
CALL SLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM,
$ MODE, CNDNUM, DIST )
*
SRNAMT = 'SLATMT'
CALL SLATMT( N, N, DIST, ISEED, TYPE, RWORK, MODE,
$ CNDNUM, ANORM, RANK, KL, KU, UPLO, A,
$ LDA, WORK, INFO )
*
* Check error code from SLATMT.
*
IF( INFO.NE.0 ) THEN
CALL ALAERH( PATH, 'SLATMT', INFO, 0, UPLO, N,
$ N, -1, -1, -1, IMAT, NFAIL, NERRS,
$ NOUT )
GO TO 120
END IF
*
* Do for each value of NB in NBVAL
*
DO 110 INB = 1, NNB
NB = NBVAL( INB )
CALL XLAENV( 1, NB )
*
* Compute the pivoted L*L' or U'*U factorization
* of the matrix.
*
CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
SRNAMT = 'SPSTRF'
*
* Use default tolerance
*
TOL = -ONE
CALL SPSTRF( UPLO, N, AFAC, LDA, PIV, COMPRANK,
$ TOL, WORK, INFO )
*
* Check error code from SPSTRF.
*
IF( (INFO.LT.IZERO)
$ .OR.(INFO.NE.IZERO.AND.RANK.EQ.N)
$ .OR.(INFO.LE.IZERO.AND.RANK.LT.N) ) THEN
CALL ALAERH( PATH, 'SPSTRF', INFO, IZERO,
$ UPLO, N, N, -1, -1, NB, IMAT,
$ NFAIL, NERRS, NOUT )
GO TO 110
END IF
*
* Skip the test if INFO is not 0.
*
IF( INFO.NE.0 )
$ GO TO 110
*
* Reconstruct matrix from factors and compute residual.
*
* PERM holds permuted L*L^T or U^T*U
*
CALL SPST01( UPLO, N, A, LDA, AFAC, LDA, PERM, LDA,
$ PIV, RWORK, RESULT, COMPRANK )
*
* Print information about the tests that did not pass
* the threshold or where computed rank was not RANK.
*
IF( N.EQ.0 )
$ COMPRANK = 0
RANKDIFF = RANK - COMPRANK
IF( RESULT.GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALAHD( NOUT, PATH )
WRITE( NOUT, FMT = 9999 )UPLO, N, RANK,
$ RANKDIFF, NB, IMAT, RESULT
NFAIL = NFAIL + 1
END IF
NRUN = NRUN + 1
110 CONTINUE
*
120 CONTINUE
130 CONTINUE
140 CONTINUE
150 CONTINUE
*
* Print a summary of the results.
*
CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
*
9999 FORMAT( ' UPLO = ''', A1, ''', N =', I5, ', RANK =', I3,
$ ', Diff =', I5, ', NB =', I4, ', type ', I2, ', Ratio =',
$ G12.5 )
RETURN
*
* End of SCHKPS
*
END
|
