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313 lines
8.9 KiB
FortranFixed
313 lines
8.9 KiB
FortranFixed
*> \brief \b SCHKTZ
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE SCHKTZ( DOTYPE, NM, MVAL, NN, NVAL, THRESH, TSTERR, A,
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* COPYA, S, TAU, WORK, NOUT )
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*
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* .. Scalar Arguments ..
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* LOGICAL TSTERR
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* INTEGER NM, NN, NOUT
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* REAL THRESH
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* ..
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* .. Array Arguments ..
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* LOGICAL DOTYPE( * )
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* INTEGER MVAL( * ), NVAL( * )
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* REAL A( * ), COPYA( * ), S( * ),
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* $ TAU( * ), WORK( * )
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> SCHKTZ tests STZRZF.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] DOTYPE
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*> \verbatim
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*> DOTYPE is LOGICAL array, dimension (NTYPES)
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*> The matrix types to be used for testing. Matrices of type j
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*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
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*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
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*> \endverbatim
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*>
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*> \param[in] NM
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*> \verbatim
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*> NM is INTEGER
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*> The number of values of M contained in the vector MVAL.
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*> \endverbatim
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*>
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*> \param[in] MVAL
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*> \verbatim
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*> MVAL is INTEGER array, dimension (NM)
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*> The values of the matrix row dimension M.
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*> \endverbatim
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*>
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*> \param[in] NN
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*> \verbatim
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*> NN is INTEGER
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*> The number of values of N contained in the vector NVAL.
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*> \endverbatim
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*>
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*> \param[in] NVAL
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*> \verbatim
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*> NVAL is INTEGER array, dimension (NN)
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*> The values of the matrix column dimension N.
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*> \endverbatim
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*>
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*> \param[in] THRESH
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*> \verbatim
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*> THRESH is REAL
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*> The threshold value for the test ratios. A result is
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*> included in the output file if RESULT >= THRESH. To have
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*> every test ratio printed, use THRESH = 0.
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*> \endverbatim
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*>
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*> \param[in] TSTERR
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*> \verbatim
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*> TSTERR is LOGICAL
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*> Flag that indicates whether error exits are to be tested.
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*> \endverbatim
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*>
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*> \param[out] A
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*> \verbatim
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*> A is REAL array, dimension (MMAX*NMAX)
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*> where MMAX is the maximum value of M in MVAL and NMAX is the
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*> maximum value of N in NVAL.
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*> \endverbatim
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*>
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*> \param[out] COPYA
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*> \verbatim
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*> COPYA is REAL array, dimension (MMAX*NMAX)
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*> \endverbatim
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*>
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*> \param[out] S
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*> \verbatim
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*> S is REAL array, dimension
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*> (min(MMAX,NMAX))
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*> \endverbatim
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*>
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*> \param[out] TAU
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*> \verbatim
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*> TAU is REAL array, dimension (MMAX)
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*> \endverbatim
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*>
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*> \param[out] WORK
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*> \verbatim
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*> WORK is REAL array, dimension
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*> (MMAX*NMAX + 4*NMAX + MMAX)
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*> \endverbatim
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*>
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*> \param[in] NOUT
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*> \verbatim
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*> NOUT is INTEGER
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*> The unit number for output.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup single_lin
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*
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* =====================================================================
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SUBROUTINE SCHKTZ( DOTYPE, NM, MVAL, NN, NVAL, THRESH, TSTERR, A,
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$ COPYA, S, TAU, WORK, NOUT )
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*
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* -- LAPACK test routine --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* .. Scalar Arguments ..
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LOGICAL TSTERR
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INTEGER NM, NN, NOUT
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REAL THRESH
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* ..
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* .. Array Arguments ..
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LOGICAL DOTYPE( * )
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INTEGER MVAL( * ), NVAL( * )
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REAL A( * ), COPYA( * ), S( * ),
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$ TAU( * ), WORK( * )
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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INTEGER NTYPES
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PARAMETER ( NTYPES = 3 )
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INTEGER NTESTS
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PARAMETER ( NTESTS = 3 )
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REAL ONE, ZERO
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PARAMETER ( ONE = 1.0E0, ZERO = 0.0E0 )
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* ..
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* .. Local Scalars ..
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CHARACTER*3 PATH
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INTEGER I, IM, IMODE, IN, INFO, K, LDA, LWORK, M,
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$ MNMIN, MODE, N, NERRS, NFAIL, NRUN
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REAL EPS
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* ..
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* .. Local Arrays ..
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INTEGER ISEED( 4 ), ISEEDY( 4 )
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REAL RESULT( NTESTS )
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* ..
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* .. External Functions ..
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REAL SLAMCH, SQRT12, SRZT01, SRZT02
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EXTERNAL SLAMCH, SQRT12, SRZT01, SRZT02
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* ..
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* .. External Subroutines ..
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EXTERNAL ALAHD, ALASUM, SERRTZ, SGEQR2, SLACPY, SLAORD,
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$ SLASET, SLATMS, STZRZF
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC MAX, MIN
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* ..
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* .. Scalars in Common ..
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LOGICAL LERR, OK
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CHARACTER*32 SRNAMT
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INTEGER INFOT, IOUNIT
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* ..
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* .. Common blocks ..
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COMMON / INFOC / INFOT, IOUNIT, OK, LERR
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COMMON / SRNAMC / SRNAMT
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* ..
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* .. Data statements ..
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DATA ISEEDY / 1988, 1989, 1990, 1991 /
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* ..
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* .. Executable Statements ..
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*
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* Initialize constants and the random number seed.
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*
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PATH( 1: 1 ) = 'Single precision'
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PATH( 2: 3 ) = 'TZ'
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NRUN = 0
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NFAIL = 0
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NERRS = 0
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DO 10 I = 1, 4
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ISEED( I ) = ISEEDY( I )
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10 CONTINUE
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EPS = SLAMCH( 'Epsilon' )
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*
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* Test the error exits
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*
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IF( TSTERR )
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$ CALL SERRTZ( PATH, NOUT )
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INFOT = 0
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*
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DO 70 IM = 1, NM
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*
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* Do for each value of M in MVAL.
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*
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M = MVAL( IM )
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LDA = MAX( 1, M )
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*
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DO 60 IN = 1, NN
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*
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* Do for each value of N in NVAL for which M .LE. N.
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*
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N = NVAL( IN )
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MNMIN = MIN( M, N )
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LWORK = MAX( 1, N*N+4*M+N, M*N+2*MNMIN+4*N )
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*
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IF( M.LE.N ) THEN
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DO 50 IMODE = 1, NTYPES
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IF( .NOT.DOTYPE( IMODE ) )
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$ GO TO 50
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*
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* Do for each type of singular value distribution.
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* 0: zero matrix
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* 1: one small singular value
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* 2: exponential distribution
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*
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MODE = IMODE - 1
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*
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* Test STZRQF
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*
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* Generate test matrix of size m by n using
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* singular value distribution indicated by `mode'.
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*
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IF( MODE.EQ.0 ) THEN
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CALL SLASET( 'Full', M, N, ZERO, ZERO, A, LDA )
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DO 30 I = 1, MNMIN
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S( I ) = ZERO
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30 CONTINUE
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ELSE
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CALL SLATMS( M, N, 'Uniform', ISEED,
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$ 'Nonsymmetric', S, IMODE,
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$ ONE / EPS, ONE, M, N, 'No packing', A,
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$ LDA, WORK, INFO )
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CALL SGEQR2( M, N, A, LDA, WORK, WORK( MNMIN+1 ),
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$ INFO )
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CALL SLASET( 'Lower', M-1, N, ZERO, ZERO, A( 2 ),
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$ LDA )
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CALL SLAORD( 'Decreasing', MNMIN, S, 1 )
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END IF
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*
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* Save A and its singular values
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*
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CALL SLACPY( 'All', M, N, A, LDA, COPYA, LDA )
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*
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* Call STZRZF to reduce the upper trapezoidal matrix to
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* upper triangular form.
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*
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SRNAMT = 'STZRZF'
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CALL STZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
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*
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* Compute norm(svd(a) - svd(r))
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*
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RESULT( 1 ) = SQRT12( M, M, A, LDA, S, WORK,
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$ LWORK )
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*
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* Compute norm( A - R*Q )
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*
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RESULT( 2 ) = SRZT01( M, N, COPYA, A, LDA, TAU, WORK,
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$ LWORK )
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*
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* Compute norm(Q'*Q - I).
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*
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RESULT( 3 ) = SRZT02( M, N, A, LDA, TAU, WORK, LWORK )
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*
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* Print information about the tests that did not pass
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* the threshold.
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*
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DO 40 K = 1, NTESTS
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IF( RESULT( K ).GE.THRESH ) THEN
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IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
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$ CALL ALAHD( NOUT, PATH )
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WRITE( NOUT, FMT = 9999 )M, N, IMODE, K,
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$ RESULT( K )
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NFAIL = NFAIL + 1
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END IF
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40 CONTINUE
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NRUN = NRUN + 3
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50 CONTINUE
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END IF
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60 CONTINUE
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70 CONTINUE
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*
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* Print a summary of the results.
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*
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CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
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*
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9999 FORMAT( ' M =', I5, ', N =', I5, ', type ', I2, ', test ', I2,
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$ ', ratio =', G12.5 )
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*
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* End if SCHKTZ
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*
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END
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