364 lines
10 KiB
Fortran
364 lines
10 KiB
Fortran
*> \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
|