319 lines
9.1 KiB
Fortran
319 lines
9.1 KiB
Fortran
*> \brief \b ZCHKTZ
|
|
*
|
|
* =========== DOCUMENTATION ===========
|
|
*
|
|
* Online html documentation available at
|
|
* http://www.netlib.org/lapack/explore-html/
|
|
*
|
|
* Definition:
|
|
* ===========
|
|
*
|
|
* SUBROUTINE ZCHKTZ( DOTYPE, NM, MVAL, NN, NVAL, THRESH, TSTERR, A,
|
|
* COPYA, S, TAU, WORK, RWORK, NOUT )
|
|
*
|
|
* .. Scalar Arguments ..
|
|
* LOGICAL TSTERR
|
|
* INTEGER NM, NN, NOUT
|
|
* DOUBLE PRECISION THRESH
|
|
* ..
|
|
* .. Array Arguments ..
|
|
* LOGICAL DOTYPE( * )
|
|
* INTEGER MVAL( * ), NVAL( * )
|
|
* DOUBLE PRECISION S( * ), RWORK( * )
|
|
* COMPLEX*16 A( * ), COPYA( * ), TAU( * ), WORK( * )
|
|
* ..
|
|
*
|
|
*
|
|
*> \par Purpose:
|
|
* =============
|
|
*>
|
|
*> \verbatim
|
|
*>
|
|
*> ZCHKTZ tests ZTZRZF.
|
|
*> \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] 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 dimension M.
|
|
*> \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 dimension N.
|
|
*> \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] TSTERR
|
|
*> \verbatim
|
|
*> TSTERR is LOGICAL
|
|
*> Flag that indicates whether error exits are to be tested.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] A
|
|
*> \verbatim
|
|
*> A is COMPLEX*16 array, dimension (MMAX*NMAX)
|
|
*> where MMAX is the maximum value of M in MVAL and NMAX is the
|
|
*> maximum value of N in NVAL.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] COPYA
|
|
*> \verbatim
|
|
*> COPYA is COMPLEX*16 array, dimension (MMAX*NMAX)
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] S
|
|
*> \verbatim
|
|
*> S is DOUBLE PRECISION array, dimension
|
|
*> (min(MMAX,NMAX))
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] TAU
|
|
*> \verbatim
|
|
*> TAU is COMPLEX*16 array, dimension (MMAX)
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] WORK
|
|
*> \verbatim
|
|
*> WORK is COMPLEX*16 array, dimension
|
|
*> (MMAX*NMAX + 4*NMAX + MMAX)
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[out] RWORK
|
|
*> \verbatim
|
|
*> RWORK is DOUBLE PRECISION array, dimension (2*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.
|
|
*
|
|
*> \ingroup complex16_lin
|
|
*
|
|
* =====================================================================
|
|
SUBROUTINE ZCHKTZ( DOTYPE, NM, MVAL, NN, NVAL, THRESH, TSTERR, A,
|
|
$ COPYA, S, TAU, WORK, RWORK, NOUT )
|
|
*
|
|
* -- 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 ..
|
|
LOGICAL TSTERR
|
|
INTEGER NM, NN, NOUT
|
|
DOUBLE PRECISION THRESH
|
|
* ..
|
|
* .. Array Arguments ..
|
|
LOGICAL DOTYPE( * )
|
|
INTEGER MVAL( * ), NVAL( * )
|
|
DOUBLE PRECISION S( * ), RWORK( * )
|
|
COMPLEX*16 A( * ), COPYA( * ), TAU( * ), WORK( * )
|
|
* ..
|
|
*
|
|
* =====================================================================
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER NTYPES
|
|
PARAMETER ( NTYPES = 3 )
|
|
INTEGER NTESTS
|
|
PARAMETER ( NTESTS = 3 )
|
|
DOUBLE PRECISION ONE, ZERO
|
|
PARAMETER ( ONE = 1.0D0, ZERO = 0.0D0 )
|
|
* ..
|
|
* .. Local Scalars ..
|
|
CHARACTER*3 PATH
|
|
INTEGER I, IM, IMODE, IN, INFO, K, LDA, LWORK, M,
|
|
$ MNMIN, MODE, N, NERRS, NFAIL, NRUN
|
|
DOUBLE PRECISION EPS
|
|
* ..
|
|
* .. Local Arrays ..
|
|
INTEGER ISEED( 4 ), ISEEDY( 4 )
|
|
DOUBLE PRECISION RESULT( NTESTS )
|
|
* ..
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION DLAMCH, ZQRT12, ZRZT01, ZRZT02
|
|
EXTERNAL DLAMCH, ZQRT12, ZRZT01, ZRZT02
|
|
* ..
|
|
* .. External Subroutines ..
|
|
EXTERNAL ALAHD, ALASUM, DLAORD, ZERRTZ, ZGEQR2, ZLACPY,
|
|
$ ZLASET, ZLATMS, ZTZRZF
|
|
* ..
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC DCMPLX, MAX, MIN
|
|
* ..
|
|
* .. Scalars in Common ..
|
|
LOGICAL LERR, OK
|
|
CHARACTER*32 SRNAMT
|
|
INTEGER INFOT, IOUNIT
|
|
* ..
|
|
* .. Common blocks ..
|
|
COMMON / INFOC / INFOT, IOUNIT, OK, LERR
|
|
COMMON / SRNAMC / SRNAMT
|
|
* ..
|
|
* .. Data statements ..
|
|
DATA ISEEDY / 1988, 1989, 1990, 1991 /
|
|
* ..
|
|
* .. Executable Statements ..
|
|
*
|
|
* Initialize constants and the random number seed.
|
|
*
|
|
PATH( 1: 1 ) = 'Zomplex precision'
|
|
PATH( 2: 3 ) = 'TZ'
|
|
NRUN = 0
|
|
NFAIL = 0
|
|
NERRS = 0
|
|
DO 10 I = 1, 4
|
|
ISEED( I ) = ISEEDY( I )
|
|
10 CONTINUE
|
|
EPS = DLAMCH( 'Epsilon' )
|
|
*
|
|
* Test the error exits
|
|
*
|
|
IF( TSTERR )
|
|
$ CALL ZERRTZ( PATH, NOUT )
|
|
INFOT = 0
|
|
*
|
|
DO 70 IM = 1, NM
|
|
*
|
|
* Do for each value of M in MVAL.
|
|
*
|
|
M = MVAL( IM )
|
|
LDA = MAX( 1, M )
|
|
*
|
|
DO 60 IN = 1, NN
|
|
*
|
|
* Do for each value of N in NVAL for which M .LE. N.
|
|
*
|
|
N = NVAL( IN )
|
|
MNMIN = MIN( M, N )
|
|
LWORK = MAX( 1, N*N+4*M+N )
|
|
*
|
|
IF( M.LE.N ) THEN
|
|
DO 50 IMODE = 1, NTYPES
|
|
IF( .NOT.DOTYPE( IMODE ) )
|
|
$ GO TO 50
|
|
*
|
|
* Do for each type of singular value distribution.
|
|
* 0: zero matrix
|
|
* 1: one small singular value
|
|
* 2: exponential distribution
|
|
*
|
|
MODE = IMODE - 1
|
|
*
|
|
* Test ZTZRQF
|
|
*
|
|
* Generate test matrix of size m by n using
|
|
* singular value distribution indicated by `mode'.
|
|
*
|
|
IF( MODE.EQ.0 ) THEN
|
|
CALL ZLASET( 'Full', M, N, DCMPLX( ZERO ),
|
|
$ DCMPLX( ZERO ), A, LDA )
|
|
DO 30 I = 1, MNMIN
|
|
S( I ) = ZERO
|
|
30 CONTINUE
|
|
ELSE
|
|
CALL ZLATMS( M, N, 'Uniform', ISEED,
|
|
$ 'Nonsymmetric', S, IMODE,
|
|
$ ONE / EPS, ONE, M, N, 'No packing', A,
|
|
$ LDA, WORK, INFO )
|
|
CALL ZGEQR2( M, N, A, LDA, WORK, WORK( MNMIN+1 ),
|
|
$ INFO )
|
|
CALL ZLASET( 'Lower', M-1, N, DCMPLX( ZERO ),
|
|
$ DCMPLX( ZERO ), A( 2 ), LDA )
|
|
CALL DLAORD( 'Decreasing', MNMIN, S, 1 )
|
|
END IF
|
|
*
|
|
* Save A and its singular values
|
|
*
|
|
CALL ZLACPY( 'All', M, N, A, LDA, COPYA, LDA )
|
|
*
|
|
* Call ZTZRZF to reduce the upper trapezoidal matrix to
|
|
* upper triangular form.
|
|
*
|
|
SRNAMT = 'ZTZRZF'
|
|
CALL ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
|
|
*
|
|
* Compute norm(svd(a) - svd(r))
|
|
*
|
|
RESULT( 1 ) = ZQRT12( M, M, A, LDA, S, WORK,
|
|
$ LWORK, RWORK )
|
|
*
|
|
* Compute norm( A - R*Q )
|
|
*
|
|
RESULT( 2 ) = ZRZT01( M, N, COPYA, A, LDA, TAU, WORK,
|
|
$ LWORK )
|
|
*
|
|
* Compute norm(Q'*Q - I).
|
|
*
|
|
RESULT( 3 ) = ZRZT02( M, N, A, LDA, TAU, WORK, LWORK )
|
|
*
|
|
* Print information about the tests that did not pass
|
|
* the threshold.
|
|
*
|
|
DO 40 K = 1, NTESTS
|
|
IF( RESULT( K ).GE.THRESH ) THEN
|
|
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
|
|
$ CALL ALAHD( NOUT, PATH )
|
|
WRITE( NOUT, FMT = 9999 )M, N, IMODE, K,
|
|
$ RESULT( K )
|
|
NFAIL = NFAIL + 1
|
|
END IF
|
|
40 CONTINUE
|
|
NRUN = NRUN + 3
|
|
50 CONTINUE
|
|
END IF
|
|
60 CONTINUE
|
|
70 CONTINUE
|
|
*
|
|
* Print a summary of the results.
|
|
*
|
|
CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
|
|
*
|
|
9999 FORMAT( ' M =', I5, ', N =', I5, ', type ', I2, ', test ', I2,
|
|
$ ', ratio =', G12.5 )
|
|
*
|
|
* End if ZCHKTZ
|
|
*
|
|
END
|