File: zchkec.f

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      SUBROUTINE ZCHKEC( THRESH, TSTERR, NIN, NOUT )
*
*  -- LAPACK test routine (version 3.0) --
*     Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
*     Courant Institute, Argonne National Lab, and Rice University
*     September 30, 1994
*
*     .. Scalar Arguments ..
      LOGICAL            TSTERR
      INTEGER            NIN, NOUT
      DOUBLE PRECISION   THRESH
*     ..
*
*  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.
*
*  Arguments
*  =========
*
*  THRESH  (input) DOUBLE PRECISION
*          Threshold for residual tests.  A computed test ratio passes
*          the threshold if it is less than THRESH.
*
*  TSTERR  (input) LOGICAL
*          Flag that indicates whether error exits are to be tested.
*
*  NIN     (input) INTEGER
*          The logical unit number for input.
*
*  NOUT    (input) INTEGER
*          The logical unit number for output.
*
*  =====================================================================
*
*     .. Local Scalars ..
      LOGICAL            OK
      CHARACTER*3        PATH
      INTEGER            KTREXC, KTRSEN, KTRSNA, KTRSYL, LTREXC, LTRSYL,
     $                   NTESTS, NTREXC, NTRSYL
      DOUBLE PRECISION   EPS, RTREXC, RTRSYL, SFMIN
*     ..
*     .. Local Arrays ..
      INTEGER            LTRSEN( 3 ), LTRSNA( 3 ), NTRSEN( 3 ),
     $                   NTRSNA( 3 )
      DOUBLE PRECISION   RTRSEN( 3 ), RTRSNA( 3 )
*     ..
*     .. External Subroutines ..
      EXTERNAL           ZERREC, ZGET35, ZGET36, ZGET37, ZGET38
*     ..
*     .. 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, LTRSYL, NTRSYL, KTRSYL, NIN )
      IF( RTRSYL.GT.THRESH ) THEN
         OK = .FALSE.
         WRITE( NOUT, FMT = 9999 )RTRSYL, LTRSYL, NTRSYL, KTRSYL
      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 + 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, CTREXC, CTRSNA, CTRSEN',
     $      / )
 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, / / )
      RETURN
*
*     End of ZCHKEC
*
      END