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|
*> \brief \b ZCKGQR
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZCKGQR( NM, MVAL, NP, PVAL, NN, NVAL, NMATS, ISEED,
* THRESH, NMAX, A, AF, AQ, AR, TAUA, B, BF, BZ,
* BT, BWK, TAUB, WORK, RWORK, NIN, NOUT, INFO )
*
* .. Scalar Arguments ..
* INTEGER INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP
* DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
* INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
* DOUBLE PRECISION RWORK( * )
* COMPLEX*16 A( * ), AF( * ), AQ( * ), AR( * ), B( * ),
* $ BF( * ), BT( * ), BWK( * ), BZ( * ), TAUA( * ),
* $ TAUB( * ), WORK( * )
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> ZCKGQR tests
*> ZGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B,
*> ZGGRQF: GRQ factorization for M-by-N matrix A and P-by-N matrix B.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] NM
*> \verbatim
*> NM is INTEGER
*> The number of values of M contained in the vector MVAL.
*> \endverbatim
*>
*> \param[in] MVAL
*> \verbatim
*> MVAL is INTEGER array, dimension (NM)
*> The values of the matrix row(column) dimension M.
*> \endverbatim
*>
*> \param[in] NP
*> \verbatim
*> NP is INTEGER
*> The number of values of P contained in the vector PVAL.
*> \endverbatim
*>
*> \param[in] PVAL
*> \verbatim
*> PVAL is INTEGER array, dimension (NP)
*> The values of the matrix row(column) dimension P.
*> \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 column(row) dimension N.
*> \endverbatim
*>
*> \param[in] NMATS
*> \verbatim
*> NMATS is INTEGER
*> The number of matrix types to be tested for each combination
*> of matrix dimensions. If NMATS >= NTYPES (the maximum
*> number of matrix types), then all the different types are
*> generated for testing. If NMATS < NTYPES, another input line
*> is read to get the numbers of the matrix types to be used.
*> \endverbatim
*>
*> \param[in,out] ISEED
*> \verbatim
*> ISEED is INTEGER array, dimension (4)
*> On entry, the seed of the random number generator. The array
*> elements should be between 0 and 4095, otherwise they will be
*> reduced mod 4096, and ISEED(4) must be odd.
*> On exit, the next seed in the random number sequence after
*> all the test matrices have been generated.
*> \endverbatim
*>
*> \param[in] THRESH
*> \verbatim
*> THRESH is DOUBLE PRECISION
*> 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] NMAX
*> \verbatim
*> NMAX is INTEGER
*> The maximum value permitted for M or N, used in dimensioning
*> the work arrays.
*> \endverbatim
*>
*> \param[out] A
*> \verbatim
*> A is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AF
*> \verbatim
*> AF is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AQ
*> \verbatim
*> AQ is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AR
*> \verbatim
*> AR is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] TAUA
*> \verbatim
*> TAUA is COMPLEX*16 array, dimension (NMAX)
*> \endverbatim
*>
*> \param[out] B
*> \verbatim
*> B is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] BF
*> \verbatim
*> BF is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] BZ
*> \verbatim
*> BZ is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] BT
*> \verbatim
*> BT is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] BWK
*> \verbatim
*> BWK is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] TAUB
*> \verbatim
*> TAUB is COMPLEX*16 array, dimension (NMAX)
*> \endverbatim
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] RWORK
*> \verbatim
*> RWORK is DOUBLE PRECISION array, dimension (NMAX)
*> \endverbatim
*>
*> \param[in] NIN
*> \verbatim
*> NIN is INTEGER
*> The unit number for input.
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*> NOUT is INTEGER
*> The unit number for output.
*> \endverbatim
*>
*> \param[out] INFO
*> \verbatim
*> INFO is INTEGER
*> = 0 : successful exit
*> > 0 : If ZLATMS returns an error code, the absolute value
*> of it is returned.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date December 2016
*
*> \ingroup complex16_eig
*
* =====================================================================
SUBROUTINE ZCKGQR( NM, MVAL, NP, PVAL, NN, NVAL, NMATS, ISEED,
$ THRESH, NMAX, A, AF, AQ, AR, TAUA, B, BF, BZ,
$ BT, BWK, TAUB, WORK, RWORK, NIN, NOUT, INFO )
*
* -- LAPACK test routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP
DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
DOUBLE PRECISION RWORK( * )
COMPLEX*16 A( * ), AF( * ), AQ( * ), AR( * ), B( * ),
$ BF( * ), BT( * ), BWK( * ), BZ( * ), TAUA( * ),
$ TAUB( * ), WORK( * )
* ..
*
* =====================================================================
*
* .. Parameters ..
INTEGER NTESTS
PARAMETER ( NTESTS = 7 )
INTEGER NTYPES
PARAMETER ( NTYPES = 8 )
* ..
* .. Local Scalars ..
LOGICAL FIRSTT
CHARACTER DISTA, DISTB, TYPE
CHARACTER*3 PATH
INTEGER I, IINFO, IM, IMAT, IN, IP, KLA, KLB, KUA, KUB,
$ LDA, LDB, LWORK, M, MODEA, MODEB, N, NFAIL,
$ NRUN, NT, P
DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB
* ..
* .. Local Arrays ..
LOGICAL DOTYPE( NTYPES )
DOUBLE PRECISION RESULT( NTESTS )
* ..
* .. External Subroutines ..
EXTERNAL ALAHDG, ALAREQ, ALASUM, DLATB9, ZGQRTS, ZGRQTS,
$ ZLATMS
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS
* ..
* .. Executable Statements ..
*
* Initialize constants.
*
PATH( 1: 3 ) = 'GQR'
INFO = 0
NRUN = 0
NFAIL = 0
FIRSTT = .TRUE.
CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT )
LDA = NMAX
LDB = NMAX
LWORK = NMAX*NMAX
*
* Do for each value of M in MVAL.
*
DO 60 IM = 1, NM
M = MVAL( IM )
*
* Do for each value of P in PVAL.
*
DO 50 IP = 1, NP
P = PVAL( IP )
*
* Do for each value of N in NVAL.
*
DO 40 IN = 1, NN
N = NVAL( IN )
*
DO 30 IMAT = 1, NTYPES
*
* Do the tests only if DOTYPE( IMAT ) is true.
*
IF( .NOT.DOTYPE( IMAT ) )
$ GO TO 30
*
* Test ZGGRQF
*
* Set up parameters with DLATB9 and generate test
* matrices A and B with ZLATMS.
*
CALL DLATB9( 'GRQ', IMAT, M, P, N, TYPE, KLA, KUA,
$ KLB, KUB, ANORM, BNORM, MODEA, MODEB,
$ CNDNMA, CNDNMB, DISTA, DISTB )
*
CALL ZLATMS( M, N, DISTA, ISEED, TYPE, RWORK, MODEA,
$ CNDNMA, ANORM, KLA, KUA, 'No packing', A,
$ LDA, WORK, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9999 )IINFO
INFO = ABS( IINFO )
GO TO 30
END IF
*
CALL ZLATMS( P, N, DISTB, ISEED, TYPE, RWORK, MODEB,
$ CNDNMB, BNORM, KLB, KUB, 'No packing', B,
$ LDB, WORK, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9999 )IINFO
INFO = ABS( IINFO )
GO TO 30
END IF
*
NT = 4
*
CALL ZGRQTS( M, P, N, A, AF, AQ, AR, LDA, TAUA, B, BF,
$ BZ, BT, BWK, LDB, TAUB, WORK, LWORK,
$ RWORK, RESULT )
*
* Print information about the tests that did not
* pass the threshold.
*
DO 10 I = 1, NT
IF( RESULT( I ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
FIRSTT = .FALSE.
CALL ALAHDG( NOUT, 'GRQ' )
END IF
WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I,
$ RESULT( I )
NFAIL = NFAIL + 1
END IF
10 CONTINUE
NRUN = NRUN + NT
*
* Test ZGGQRF
*
* Set up parameters with DLATB9 and generate test
* matrices A and B with ZLATMS.
*
CALL DLATB9( 'GQR', IMAT, M, P, N, TYPE, KLA, KUA,
$ KLB, KUB, ANORM, BNORM, MODEA, MODEB,
$ CNDNMA, CNDNMB, DISTA, DISTB )
*
CALL ZLATMS( N, M, DISTA, ISEED, TYPE, RWORK, MODEA,
$ CNDNMA, ANORM, KLA, KUA, 'No packing', A,
$ LDA, WORK, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9999 )IINFO
INFO = ABS( IINFO )
GO TO 30
END IF
*
CALL ZLATMS( N, P, DISTB, ISEED, TYPE, RWORK, MODEA,
$ CNDNMA, BNORM, KLB, KUB, 'No packing', B,
$ LDB, WORK, IINFO )
IF( IINFO.NE.0 ) THEN
WRITE( NOUT, FMT = 9999 )IINFO
INFO = ABS( IINFO )
GO TO 30
END IF
*
NT = 4
*
CALL ZGQRTS( N, M, P, A, AF, AQ, AR, LDA, TAUA, B, BF,
$ BZ, BT, BWK, LDB, TAUB, WORK, LWORK,
$ RWORK, RESULT )
*
* Print information about the tests that did not
* pass the threshold.
*
DO 20 I = 1, NT
IF( RESULT( I ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
FIRSTT = .FALSE.
CALL ALAHDG( NOUT, PATH )
END IF
WRITE( NOUT, FMT = 9997 )N, M, P, IMAT, I,
$ RESULT( I )
NFAIL = NFAIL + 1
END IF
20 CONTINUE
NRUN = NRUN + NT
*
30 CONTINUE
40 CONTINUE
50 CONTINUE
60 CONTINUE
*
* Print a summary of the results.
*
CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 )
*
9999 FORMAT( ' ZLATMS in ZCKGQR: INFO = ', I5 )
9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2,
$ ', test ', I2, ', ratio=', G13.6 )
9997 FORMAT( ' N=', I4, ' M=', I4, ', P=', I4, ', type ', I2,
$ ', test ', I2, ', ratio=', G13.6 )
RETURN
*
* End of ZCKGQR
*
END
|
