zchkec()

subroutine zchkec	(	double precision	thresh,
		logical	tsterr,
		integer	nin,
		integer	nout
	)

ZCHKEC

Purpose:

 ZCHKEC tests eigen- condition estimation routines
        ZTRSYL, CTREXC, CTRSNA, CTRSEN

 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, ZTRSNA and CTRSEN are
 tested by reading in precomputed examples from a file (on input unit
 NIN).  Output is written to output unit NOUT.

Parameters

[in]	THRESH	THRESH is DOUBLE PRECISION Threshold for residual tests. A computed test ratio passes the threshold if it is less than THRESH.
[in]	TSTERR	TSTERR is LOGICAL Flag that indicates whether error exits are to be tested.
[in]	NIN	NIN is INTEGER The logical unit number for input.
[in]	NOUT	NOUT is INTEGER The logical unit number for output.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 74 of file zchkec.f.

*
*  -- 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            NIN, NOUT
      DOUBLE PRECISION   THRESH
*     ..
*
*  =====================================================================
*
*     .. Local Scalars ..
      LOGICAL            OK
      CHARACTER*3        PATH
      INTEGER            KTREXC, KTRSEN, KTRSNA, KTRSYL, KTRSYL3,
     $                   LTREXC, LTRSYL, NTESTS, NTREXC, NTRSYL
      DOUBLE PRECISION   EPS, RTREXC, SFMIN
*     ..
*     .. Local Arrays ..
      INTEGER            FTRSYL( 3 ), ITRSYL( 2 ), LTRSEN( 3 ),
     $                   LTRSNA( 3 ), NTRSEN( 3 ), NTRSNA( 3 )
      DOUBLE PRECISION   RTRSEN( 3 ), RTRSNA( 3 ), RTRSYL( 2 )
*     ..
*     .. External Subroutines ..
      EXTERNAL           zerrec, zget35, zget36, zget37, zget38, zsyl01
*     ..
*     .. External Functions ..
      DOUBLE PRECISION   DLAMCH
      EXTERNAL           dlamch
*     ..
*     .. Executable Statements ..
*
      path( 1: 1 ) = 'Zomplex precision'
      path( 2: 3 ) = 'EC'
      eps = dlamch( 'P' )
      sfmin = dlamch( 'S' )
      WRITE( nout, fmt = 9994 )
      WRITE( nout, fmt = 9993 )eps, sfmin
      WRITE( nout, fmt = 9992 )thresh
*
*     Test error exits if TSTERR is .TRUE.
*
      IF( tsterr )
     $   CALL zerrec( path, nout )
*
      ok = .true.
      CALL zget35( rtrsyl( 1 ), ltrsyl, ntrsyl, ktrsyl, nin )
      IF( rtrsyl( 1 ).GT.thresh ) THEN
         ok = .false.
         WRITE( nout, fmt = 9999 )rtrsyl( 1 ), ltrsyl, ntrsyl, ktrsyl
      END IF
*
      CALL zsyl01( thresh, ftrsyl, rtrsyl, itrsyl, ktrsyl3 )
      IF( ftrsyl( 1 ).GT.0 ) THEN
         ok = .false.
         WRITE( nout, fmt = 9970 )ftrsyl( 1 ), rtrsyl( 1 ), thresh
      END IF
      IF( ftrsyl( 2 ).GT.0 ) THEN
         ok = .false.
         WRITE( nout, fmt = 9971 )ftrsyl( 2 ), rtrsyl( 2 ), thresh
      END IF
      IF( ftrsyl( 3 ).GT.0 ) THEN
         ok = .false.
         WRITE( nout, fmt = 9972 )ftrsyl( 3 )
      END IF
*
      CALL zget36( rtrexc, ltrexc, ntrexc, ktrexc, nin )
      IF( rtrexc.GT.thresh .OR. ntrexc.GT.0 ) THEN
         ok = .false.
         WRITE( nout, fmt = 9998 )rtrexc, ltrexc, ntrexc, ktrexc
      END IF
*
      CALL zget37( 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 = 9997 )rtrsna, ltrsna, ntrsna, ktrsna
      END IF
*
      CALL zget38( 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 = 9996 )rtrsen, ltrsen, ntrsen, ktrsen
      END IF
*
      ntests = ktrsyl + ktrsyl3 + ktrexc + ktrsna + ktrsen
      IF( ok )
     $   WRITE( nout, fmt = 9995 )path, ntests
*
 9999 FORMAT( ' Error in ZTRSYL: RMAX =', d12.3, / ' LMAX = ', i8,
     $      ' NINFO=', i8, ' KNT=', i8 )
 9998 FORMAT( ' Error in ZTREXC: RMAX =', d12.3, / ' LMAX = ', i8,
     $      ' NINFO=', i8, ' KNT=', i8 )
 9997 FORMAT( ' Error in ZTRSNA: RMAX =', 3d12.3, / ' LMAX = ', 3i8,
     $      ' NINFO=', 3i8, ' KNT=', i8 )
 9996 FORMAT( ' Error in ZTRSEN: RMAX =', 3d12.3, / ' LMAX = ', 3i8,
     $      ' NINFO=', 3i8, ' KNT=', i8 )
 9995 FORMAT( / 1x, 'All tests for ', a3,
     $      ' routines passed the threshold ( ', i6, ' tests run)' )
 9994 FORMAT( ' Tests of the Nonsymmetric eigenproblem condition',
     $      ' estimation routines', / ' ZTRSYL, ZTREXC, ZTRSNA, ZTRSEN',
     $      / )
 9993 FORMAT( ' Relative machine precision (EPS) = ', d16.6,
     $      / ' Safe minimum (SFMIN)             = ', d16.6, / )
 9992 FORMAT( ' Routines pass computational tests if test ratio is ',
     $      'less than', f8.2, / / )
 9970 FORMAT( 'Error in ZTRSYL: ', i8, ' tests fail the threshold.', /
     $      'Maximum test ratio =', d12.3, ' threshold =', d12.3 )
 9971 FORMAT( 'Error in ZTRSYL3: ', i8, ' tests fail the threshold.', /
     $      'Maximum test ratio =', d12.3, ' threshold =', d12.3 )
 9972 FORMAT( 'ZTRSYL and ZTRSYL3 compute an inconsistent scale ',
     $      'factor in ', i8, ' tests.')
      RETURN
*
*     End of ZCHKEC
*

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