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257 lines
8.7 KiB
257 lines
8.7 KiB
2 years ago
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*> \brief \b DCHKEC
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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 DCHKEC( THRESH, TSTERR, NIN, NOUT )
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*
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* .. Scalar Arguments ..
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* LOGICAL TSTERR
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* INTEGER NIN, NOUT
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* DOUBLE PRECISION THRESH
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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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*> DCHKEC tests eigen- condition estimation routines
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*> DLALN2, DLASY2, DLANV2, DLAQTR, DLAEXC,
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*> DTRSYL, DTREXC, DTRSNA, DTRSEN, DTGEXC
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*>
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*> In all cases, the routine runs through a fixed set of numerical
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*> examples, subjects them to various tests, and compares the test
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*> results to a threshold THRESH. In addition, DTREXC, DTRSNA and DTRSEN
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*> are tested by reading in precomputed examples from a file (on input
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*> unit NIN). Output is written to output unit NOUT.
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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] THRESH
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*> \verbatim
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*> THRESH is DOUBLE PRECISION
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*> Threshold for residual tests. A computed test ratio passes
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*> the threshold if it is less than THRESH.
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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[in] NIN
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*> \verbatim
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*> NIN is INTEGER
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*> The logical unit number for input.
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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 logical 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 double_eig
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*
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* =====================================================================
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SUBROUTINE DCHKEC( THRESH, TSTERR, NIN, 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 NIN, NOUT
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DOUBLE PRECISION THRESH
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* ..
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*
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* =====================================================================
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*
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* .. Local Scalars ..
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LOGICAL OK
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CHARACTER*3 PATH
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INTEGER KLAEXC, KLALN2, KLANV2, KLAQTR, KLASY2, KTREXC,
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$ KTRSEN, KTRSNA, KTRSYL, KTRSYL3, LLAEXC,
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$ LLALN2, LLANV2, LLAQTR, LLASY2, LTREXC, LTRSYL,
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$ NLANV2, NLAQTR, NLASY2, NTESTS, NTRSYL, KTGEXC,
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$ LTGEXC
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DOUBLE PRECISION EPS, RLAEXC, RLALN2, RLANV2, RLAQTR, RLASY2,
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$ RTREXC, SFMIN, RTGEXC
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* ..
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* .. Local Arrays ..
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INTEGER FTRSYL( 3 ), ITRSYL( 2 ), LTRSEN( 3 ),
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$ LTRSNA( 3 ), NLAEXC( 2 ), NLALN2( 2 ),
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$ NTGEXC( 2 ), NTREXC( 3 ), NTRSEN( 3 ),
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$ NTRSNA( 3 )
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DOUBLE PRECISION RTRSEN( 3 ), RTRSNA( 3 ), RTRSYL( 2 )
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* ..
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* .. External Subroutines ..
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EXTERNAL DERREC, DGET31, DGET32, DGET33, DGET34, DGET35,
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$ DGET36, DGET37, DGET38, DGET39, DGET40, DSYL01
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* ..
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* .. External Functions ..
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DOUBLE PRECISION DLAMCH
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EXTERNAL DLAMCH
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* ..
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* .. Executable Statements ..
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*
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PATH( 1: 1 ) = 'Double precision'
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PATH( 2: 3 ) = 'EC'
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EPS = DLAMCH( 'P' )
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SFMIN = DLAMCH( 'S' )
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*
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* Print header information
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*
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WRITE( NOUT, FMT = 9989 )
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WRITE( NOUT, FMT = 9988 )EPS, SFMIN
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WRITE( NOUT, FMT = 9987 )THRESH
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*
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* Test error exits if TSTERR is .TRUE.
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*
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IF( TSTERR )
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$ CALL DERREC( PATH, NOUT )
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*
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OK = .TRUE.
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CALL DGET31( RLALN2, LLALN2, NLALN2, KLALN2 )
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IF( RLALN2.GT.THRESH .OR. NLALN2( 1 ).NE.0 ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9999 )RLALN2, LLALN2, NLALN2, KLALN2
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END IF
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*
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CALL DGET32( RLASY2, LLASY2, NLASY2, KLASY2 )
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IF( RLASY2.GT.THRESH ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9998 )RLASY2, LLASY2, NLASY2, KLASY2
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END IF
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*
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CALL DGET33( RLANV2, LLANV2, NLANV2, KLANV2 )
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IF( RLANV2.GT.THRESH .OR. NLANV2.NE.0 ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9997 )RLANV2, LLANV2, NLANV2, KLANV2
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END IF
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*
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CALL DGET34( RLAEXC, LLAEXC, NLAEXC, KLAEXC )
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IF( RLAEXC.GT.THRESH .OR. NLAEXC( 2 ).NE.0 ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9996 )RLAEXC, LLAEXC, NLAEXC, KLAEXC
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END IF
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*
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CALL DGET35( RTRSYL( 1 ), LTRSYL, NTRSYL, KTRSYL )
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IF( RTRSYL( 1 ).GT.THRESH ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9995 )RTRSYL( 1 ), LTRSYL, NTRSYL, KTRSYL
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END IF
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*
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CALL DSYL01( THRESH, FTRSYL, RTRSYL, ITRSYL, KTRSYL3 )
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IF( FTRSYL( 1 ).GT.0 ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9970 )FTRSYL( 1 ), RTRSYL( 1 ), THRESH
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END IF
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IF( FTRSYL( 2 ).GT.0 ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9971 )FTRSYL( 2 ), RTRSYL( 2 ), THRESH
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END IF
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IF( FTRSYL( 3 ).GT.0 ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9972 )FTRSYL( 3 )
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END IF
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*
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CALL DGET36( RTREXC, LTREXC, NTREXC, KTREXC, NIN )
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IF( RTREXC.GT.THRESH .OR. NTREXC( 3 ).GT.0 ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9994 )RTREXC, LTREXC, NTREXC, KTREXC
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END IF
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*
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CALL DGET37( RTRSNA, LTRSNA, NTRSNA, KTRSNA, NIN )
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IF( RTRSNA( 1 ).GT.THRESH .OR. RTRSNA( 2 ).GT.THRESH .OR.
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$ NTRSNA( 1 ).NE.0 .OR. NTRSNA( 2 ).NE.0 .OR. NTRSNA( 3 ).NE.0 )
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$ THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9993 )RTRSNA, LTRSNA, NTRSNA, KTRSNA
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END IF
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*
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CALL DGET38( RTRSEN, LTRSEN, NTRSEN, KTRSEN, NIN )
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IF( RTRSEN( 1 ).GT.THRESH .OR. RTRSEN( 2 ).GT.THRESH .OR.
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$ NTRSEN( 1 ).NE.0 .OR. NTRSEN( 2 ).NE.0 .OR. NTRSEN( 3 ).NE.0 )
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$ THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9992 )RTRSEN, LTRSEN, NTRSEN, KTRSEN
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END IF
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*
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CALL DGET39( RLAQTR, LLAQTR, NLAQTR, KLAQTR )
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IF( RLAQTR.GT.THRESH ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9991 )RLAQTR, LLAQTR, NLAQTR, KLAQTR
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END IF
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*
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CALL DGET40( RTGEXC, LTGEXC, NTGEXC, KTGEXC, NIN )
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IF( RTGEXC.GT.THRESH ) THEN
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OK = .FALSE.
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WRITE( NOUT, FMT = 9986 )RTGEXC, LTGEXC, NTGEXC, KTGEXC
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END IF
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*
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NTESTS = KLALN2 + KLASY2 + KLANV2 + KLAEXC + KTRSYL + KTREXC +
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$ KTRSNA + KTRSEN + KLAQTR + KTGEXC
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IF( OK )
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$ WRITE( NOUT, FMT = 9990 )PATH, NTESTS
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*
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RETURN
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9999 FORMAT( ' Error in DLALN2: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', 2I8, ' KNT=', I8 )
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9998 FORMAT( ' Error in DLASY2: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', I8, ' KNT=', I8 )
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9997 FORMAT( ' Error in DLANV2: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', I8, ' KNT=', I8 )
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9996 FORMAT( ' Error in DLAEXC: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', 2I8, ' KNT=', I8 )
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9995 FORMAT( ' Error in DTRSYL: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', I8, ' KNT=', I8 )
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9994 FORMAT( ' Error in DTREXC: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', 3I8, ' KNT=', I8 )
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9993 FORMAT( ' Error in DTRSNA: RMAX =', 3D12.3, / ' LMAX = ', 3I8,
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$ ' NINFO=', 3I8, ' KNT=', I8 )
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9992 FORMAT( ' Error in DTRSEN: RMAX =', 3D12.3, / ' LMAX = ', 3I8,
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$ ' NINFO=', 3I8, ' KNT=', I8 )
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9991 FORMAT( ' Error in DLAQTR: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', I8, ' KNT=', I8 )
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9990 FORMAT( / 1X, 'All tests for ', A3, ' routines passed the thresh',
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$ 'old ( ', I6, ' tests run)' )
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9989 FORMAT( ' Tests of the Nonsymmetric eigenproblem condition estim',
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$ 'ation routines', / ' DLALN2, DLASY2, DLANV2, DLAEXC, DTRS',
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$ 'YL, DTREXC, DTRSNA, DTRSEN, DLAQTR, DTGEXC', / )
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9988 FORMAT( ' Relative machine precision (EPS) = ', D16.6, / ' Safe ',
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$ 'minimum (SFMIN) = ', D16.6, / )
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9987 FORMAT( ' Routines pass computational tests if test ratio is les',
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$ 's than', F8.2, / / )
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9986 FORMAT( ' Error in DTGEXC: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
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$ 'INFO=', 2I8, ' KNT=', I8 )
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9972 FORMAT( 'DTRSYL and DTRSYL3 compute an inconsistent result ',
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$ 'factor in ', I8, ' tests.')
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9971 FORMAT( 'Error in DTRSYL3: ', I8, ' tests fail the threshold.', /
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$ 'Maximum test ratio =', D12.3, ' threshold =', D12.3 )
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9970 FORMAT( 'Error in DTRSYL: ', I8, ' tests fail the threshold.', /
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$ 'Maximum test ratio =', D12.3, ' threshold =', D12.3 )
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*
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* End of DCHKEC
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*
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END
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