You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
409 lines
12 KiB
409 lines
12 KiB
2 years ago
|
*> \brief \b CCKGQR
|
||
|
|
*
|
||
|
|
* =========== DOCUMENTATION ===========
|
||
|
|
*
|
||
|
|
* Online html documentation available at
|
||
|
|
* http://www.netlib.org/lapack/explore-html/
|
||
|
|
*
|
||
|
|
* Definition:
|
||
|
|
* ===========
|
||
|
|
*
|
||
|
|
* SUBROUTINE CCKGQR( 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
|
||
|
|
* REAL THRESH
|
||
|
|
* ..
|
||
|
|
* .. Array Arguments ..
|
||
|
|
* INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
|
||
|
|
* REAL RWORK( * )
|
||
|
|
* COMPLEX A( * ), AF( * ), AQ( * ), AR( * ), B( * ),
|
||
|
|
* $ BF( * ), BT( * ), BWK( * ), BZ( * ), TAUA( * ),
|
||
|
|
* $ TAUB( * ), WORK( * )
|
||
|
|
* ..
|
||
|
|
*
|
||
|
|
*
|
||
|
|
*> \par Purpose:
|
||
|
|
* =============
|
||
|
|
*>
|
||
|
|
*> \verbatim
|
||
|
|
*>
|
||
|
|
*> CCKGQR tests
|
||
|
|
*> CGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B,
|
||
|
|
*> CGGRQF: 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 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] 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 array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] AF
|
||
|
|
*> \verbatim
|
||
|
|
*> AF is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] AQ
|
||
|
|
*> \verbatim
|
||
|
|
*> AQ is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] AR
|
||
|
|
*> \verbatim
|
||
|
|
*> AR is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] TAUA
|
||
|
|
*> \verbatim
|
||
|
|
*> TAUA is COMPLEX array, dimension (NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] B
|
||
|
|
*> \verbatim
|
||
|
|
*> B is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] BF
|
||
|
|
*> \verbatim
|
||
|
|
*> BF is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] BZ
|
||
|
|
*> \verbatim
|
||
|
|
*> BZ is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] BT
|
||
|
|
*> \verbatim
|
||
|
|
*> BT is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] BWK
|
||
|
|
*> \verbatim
|
||
|
|
*> BWK is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] TAUB
|
||
|
|
*> \verbatim
|
||
|
|
*> TAUB is COMPLEX array, dimension (NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] WORK
|
||
|
|
*> \verbatim
|
||
|
|
*> WORK is COMPLEX array, dimension (NMAX*NMAX)
|
||
|
|
*> \endverbatim
|
||
|
|
*>
|
||
|
|
*> \param[out] RWORK
|
||
|
|
*> \verbatim
|
||
|
|
*> RWORK is REAL 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 CLATMS 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.
|
||
|
|
*
|
||
|
|
*> \ingroup complex_eig
|
||
|
|
*
|
||
|
|
* =====================================================================
|
||
|
|
SUBROUTINE CCKGQR( 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 --
|
||
|
|
* -- LAPACK is a software package provided by Univ. of Tennessee, --
|
||
|
|
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
|
||
|
|
*
|
||
|
|
* .. Scalar Arguments ..
|
||
|
|
INTEGER INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP
|
||
|
|
REAL THRESH
|
||
|
|
* ..
|
||
|
|
* .. Array Arguments ..
|
||
|
|
INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
|
||
|
|
REAL RWORK( * )
|
||
|
|
COMPLEX 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
|
||
|
|
REAL ANORM, BNORM, CNDNMA, CNDNMB
|
||
|
|
* ..
|
||
|
|
* .. Local Arrays ..
|
||
|
|
LOGICAL DOTYPE( NTYPES )
|
||
|
|
REAL RESULT( NTESTS )
|
||
|
|
* ..
|
||
|
|
* .. External Subroutines ..
|
||
|
|
EXTERNAL ALAHDG, ALAREQ, ALASUM, CGQRTS, CGRQTS, CLATMS,
|
||
|
|
$ SLATB9
|
||
|
|
* ..
|
||
|
|
* .. 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 CGGRQF
|
||
|
|
*
|
||
|
|
* Set up parameters with SLATB9 and generate test
|
||
|
|
* matrices A and B with CLATMS.
|
||
|
|
*
|
||
|
|
CALL SLATB9( 'GRQ', IMAT, M, P, N, TYPE, KLA, KUA,
|
||
|
|
$ KLB, KUB, ANORM, BNORM, MODEA, MODEB,
|
||
|
|
$ CNDNMA, CNDNMB, DISTA, DISTB )
|
||
|
|
*
|
||
|
|
CALL CLATMS( 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 CLATMS( 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 CGRQTS( 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 CGGQRF
|
||
|
|
*
|
||
|
|
* Set up parameters with SLATB9 and generate test
|
||
|
|
* matrices A and B with CLATMS.
|
||
|
|
*
|
||
|
|
CALL SLATB9( 'GQR', IMAT, M, P, N, TYPE, KLA, KUA,
|
||
|
|
$ KLB, KUB, ANORM, BNORM, MODEA, MODEB,
|
||
|
|
$ CNDNMA, CNDNMB, DISTA, DISTB )
|
||
|
|
*
|
||
|
|
CALL CLATMS( 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 CLATMS( 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 CGQRTS( 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( ' CLATMS in CCKGQR: 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 CCKGQR
|
||
|
|
*
|
||
|
|
END
|