*> \brief \b DCHKEC
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DCHKEC( THRESH, TSTERR, NIN, NOUT )
*
* .. Scalar Arguments ..
* LOGICAL TSTERR
* INTEGER NIN, NOUT
* DOUBLE PRECISION THRESH
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> DCHKEC tests eigen- condition estimation routines
*> DLALN2, DLASY2, DLANV2, DLAQTR, DLAEXC,
*> DTRSYL, DTREXC, DTRSNA, DTRSEN
*>
*> In all cases, the routine runs through a fixed set of numerical
*> examples, subjects them to various tests, and compares the test
*> results to a threshold THRESH. In addition, DTREXC, DTRSNA and DTRSEN
*> are tested by reading in precomputed examples from a file (on input
*> unit NIN). Output is written to output unit NOUT.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] THRESH
*> \verbatim
*> THRESH is DOUBLE PRECISION
*> Threshold for residual tests. A computed test ratio passes
*> the threshold if it is less than THRESH.
*> \endverbatim
*>
*> \param[in] TSTERR
*> \verbatim
*> TSTERR is LOGICAL
*> Flag that indicates whether error exits are to be tested.
*> \endverbatim
*>
*> \param[in] NIN
*> \verbatim
*> NIN is INTEGER
*> The logical unit number for input.
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*> NOUT is INTEGER
*> The logical unit number for output.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date December 2016
*
*> \ingroup double_eig
*
* =====================================================================
SUBROUTINE DCHKEC( THRESH, TSTERR, NIN, NOUT )
*
* -- 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 ..
LOGICAL TSTERR
INTEGER NIN, NOUT
DOUBLE PRECISION THRESH
* ..
*
* =====================================================================
*
* .. Local Scalars ..
LOGICAL OK
CHARACTER*3 PATH
INTEGER KLAEXC, KLALN2, KLANV2, KLAQTR, KLASY2, KTREXC,
$ KTRSEN, KTRSNA, KTRSYL, LLAEXC, LLALN2, LLANV2,
$ LLAQTR, LLASY2, LTREXC, LTRSYL, NLANV2, NLAQTR,
$ NLASY2, NTESTS, NTRSYL
DOUBLE PRECISION EPS, RLAEXC, RLALN2, RLANV2, RLAQTR, RLASY2,
$ RTREXC, RTRSYL, SFMIN
* ..
* .. Local Arrays ..
INTEGER LTRSEN( 3 ), LTRSNA( 3 ), NLAEXC( 2 ),
$ NLALN2( 2 ), NTREXC( 3 ), NTRSEN( 3 ),
$ NTRSNA( 3 )
DOUBLE PRECISION RTRSEN( 3 ), RTRSNA( 3 )
* ..
* .. External Subroutines ..
EXTERNAL DERREC, DGET31, DGET32, DGET33, DGET34, DGET35,
$ DGET36, DGET37, DGET38, DGET39
* ..
* .. External Functions ..
DOUBLE PRECISION DLAMCH
EXTERNAL DLAMCH
* ..
* .. Executable Statements ..
*
PATH( 1: 1 ) = 'Double precision'
PATH( 2: 3 ) = 'EC'
EPS = DLAMCH( 'P' )
SFMIN = DLAMCH( 'S' )
*
* Print header information
*
WRITE( NOUT, FMT = 9989 )
WRITE( NOUT, FMT = 9988 )EPS, SFMIN
WRITE( NOUT, FMT = 9987 )THRESH
*
* Test error exits if TSTERR is .TRUE.
*
IF( TSTERR )
$ CALL DERREC( PATH, NOUT )
*
OK = .TRUE.
CALL DGET31( RLALN2, LLALN2, NLALN2, KLALN2 )
IF( RLALN2.GT.THRESH .OR. NLALN2( 1 ).NE.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9999 )RLALN2, LLALN2, NLALN2, KLALN2
END IF
*
CALL DGET32( RLASY2, LLASY2, NLASY2, KLASY2 )
IF( RLASY2.GT.THRESH ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9998 )RLASY2, LLASY2, NLASY2, KLASY2
END IF
*
CALL DGET33( RLANV2, LLANV2, NLANV2, KLANV2 )
IF( RLANV2.GT.THRESH .OR. NLANV2.NE.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9997 )RLANV2, LLANV2, NLANV2, KLANV2
END IF
*
CALL DGET34( RLAEXC, LLAEXC, NLAEXC, KLAEXC )
IF( RLAEXC.GT.THRESH .OR. NLAEXC( 2 ).NE.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9996 )RLAEXC, LLAEXC, NLAEXC, KLAEXC
END IF
*
CALL DGET35( RTRSYL, LTRSYL, NTRSYL, KTRSYL )
IF( RTRSYL.GT.THRESH ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9995 )RTRSYL, LTRSYL, NTRSYL, KTRSYL
END IF
*
CALL DGET36( RTREXC, LTREXC, NTREXC, KTREXC, NIN )
IF( RTREXC.GT.THRESH .OR. NTREXC( 3 ).GT.0 ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9994 )RTREXC, LTREXC, NTREXC, KTREXC
END IF
*
CALL DGET37( RTRSNA, LTRSNA, NTRSNA, KTRSNA, NIN )
IF( RTRSNA( 1 ).GT.THRESH .OR. RTRSNA( 2 ).GT.THRESH .OR.
$ NTRSNA( 1 ).NE.0 .OR. NTRSNA( 2 ).NE.0 .OR. NTRSNA( 3 ).NE.0 )
$ THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9993 )RTRSNA, LTRSNA, NTRSNA, KTRSNA
END IF
*
CALL DGET38( RTRSEN, LTRSEN, NTRSEN, KTRSEN, NIN )
IF( RTRSEN( 1 ).GT.THRESH .OR. RTRSEN( 2 ).GT.THRESH .OR.
$ NTRSEN( 1 ).NE.0 .OR. NTRSEN( 2 ).NE.0 .OR. NTRSEN( 3 ).NE.0 )
$ THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9992 )RTRSEN, LTRSEN, NTRSEN, KTRSEN
END IF
*
CALL DGET39( RLAQTR, LLAQTR, NLAQTR, KLAQTR )
IF( RLAQTR.GT.THRESH ) THEN
OK = .FALSE.
WRITE( NOUT, FMT = 9991 )RLAQTR, LLAQTR, NLAQTR, KLAQTR
END IF
*
NTESTS = KLALN2 + KLASY2 + KLANV2 + KLAEXC + KTRSYL + KTREXC +
$ KTRSNA + KTRSEN + KLAQTR
IF( OK )
$ WRITE( NOUT, FMT = 9990 )PATH, NTESTS
*
RETURN
9999 FORMAT( ' Error in DLALN2: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', 2I8, ' KNT=', I8 )
9998 FORMAT( ' Error in DLASY2: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9997 FORMAT( ' Error in DLANV2: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9996 FORMAT( ' Error in DLAEXC: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', 2I8, ' KNT=', I8 )
9995 FORMAT( ' Error in DTRSYL: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9994 FORMAT( ' Error in DTREXC: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', 3I8, ' KNT=', I8 )
9993 FORMAT( ' Error in DTRSNA: RMAX =', 3D12.3, / ' LMAX = ', 3I8,
$ ' NINFO=', 3I8, ' KNT=', I8 )
9992 FORMAT( ' Error in DTRSEN: RMAX =', 3D12.3, / ' LMAX = ', 3I8,
$ ' NINFO=', 3I8, ' KNT=', I8 )
9991 FORMAT( ' Error in DLAQTR: RMAX =', D12.3, / ' LMAX = ', I8, ' N',
$ 'INFO=', I8, ' KNT=', I8 )
9990 FORMAT( / 1X, 'All tests for ', A3, ' routines passed the thresh',
$ 'old ( ', I6, ' tests run)' )
9989 FORMAT( ' Tests of the Nonsymmetric eigenproblem condition estim',
$ 'ation routines', / ' DLALN2, DLASY2, DLANV2, DLAEXC, DTRS',
$ 'YL, DTREXC, DTRSNA, DTRSEN, DLAQTR', / )
9988 FORMAT( ' Relative machine precision (EPS) = ', D16.6, / ' Safe ',
$ 'minimum (SFMIN) = ', D16.6, / )
9987 FORMAT( ' Routines pass computational tests if test ratio is les',
$ 's than', F8.2, / / )
*
* End of DCHKEC
*
END