1       SUBROUTINE ZCHKEC( THRESH, TSTERR, NIN, NOUT )
  2 *
  3 *  -- LAPACK test routine (version 3.1) --
  4 *     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
  5 *     November 2006
  6 *
  7 *     .. Scalar Arguments ..
  8       LOGICAL            TSTERR
  9       INTEGER            NIN, NOUT
 10       DOUBLE PRECISION   THRESH
 11 *     ..
 12 *
 13 *  Purpose
 14 *  =======
 15 *
 16 *  ZCHKEC tests eigen- condition estimation routines
 17 *         ZTRSYL, CTREXC, CTRSNA, CTRSEN
 18 *
 19 *  In all cases, the routine runs through a fixed set of numerical
 20 *  examples, subjects them to various tests, and compares the test
 21 *  results to a threshold THRESH. In addition, ZTRSNA and CTRSEN are
 22 *  tested by reading in precomputed examples from a file (on input unit
 23 *  NIN).  Output is written to output unit NOUT.
 24 *
 25 *  Arguments
 26 *  =========
 27 *
 28 *  THRESH  (input) DOUBLE PRECISION
 29 *          Threshold for residual tests.  A computed test ratio passes
 30 *          the threshold if it is less than THRESH.
 31 *
 32 *  TSTERR  (input) LOGICAL
 33 *          Flag that indicates whether error exits are to be tested.
 34 *
 35 *  NIN     (input) INTEGER
 36 *          The logical unit number for input.
 37 *
 38 *  NOUT    (input) INTEGER
 39 *          The logical unit number for output.
 40 *
 41 *  =====================================================================
 42 *
 43 *     .. Local Scalars ..
 44       LOGICAL            OK
 45       CHARACTER*3        PATH
 46       INTEGER            KTREXC, KTRSEN, KTRSNA, KTRSYL, LTREXC, LTRSYL,
 47      $                   NTESTS, NTREXC, NTRSYL
 48       DOUBLE PRECISION   EPS, RTREXC, RTRSYL, SFMIN
 49 *     ..
 50 *     .. Local Arrays ..
 51       INTEGER            LTRSEN( 3 ), LTRSNA( 3 ), NTRSEN( 3 ),
 52      $                   NTRSNA( 3 )
 53       DOUBLE PRECISION   RTRSEN( 3 ), RTRSNA( 3 )
 54 *     ..
 55 *     .. External Subroutines ..
 56       EXTERNAL           ZERREC, ZGET35, ZGET36, ZGET37, ZGET38
 57 *     ..
 58 *     .. External Functions ..
 59       DOUBLE PRECISION   DLAMCH
 60       EXTERNAL           DLAMCH
 61 *     ..
 62 *     .. Executable Statements ..
 63 *
 64       PATH( 11 ) = 'Zomplex precision'
 65       PATH( 23 ) = 'EC'
 66       EPS = DLAMCH( 'P' )
 67       SFMIN = DLAMCH( 'S' )
 68       WRITE( NOUT, FMT = 9994 )
 69       WRITE( NOUT, FMT = 9993 )EPS, SFMIN
 70       WRITE( NOUT, FMT = 9992 )THRESH
 71 *
 72 *     Test error exits if TSTERR is .TRUE.
 73 *
 74       IF( TSTERR )
 75      $   CALL ZERREC( PATH, NOUT )
 76 *
 77       OK = .TRUE.
 78       CALL ZGET35( RTRSYL, LTRSYL, NTRSYL, KTRSYL, NIN )
 79       IF( RTRSYL.GT.THRESH ) THEN
 80          OK = .FALSE.
 81          WRITE( NOUT, FMT = 9999 )RTRSYL, LTRSYL, NTRSYL, KTRSYL
 82       END IF
 83 *
 84       CALL ZGET36( RTREXC, LTREXC, NTREXC, KTREXC, NIN )
 85       IF( RTREXC.GT.THRESH .OR. NTREXC.GT.0 ) THEN
 86          OK = .FALSE.
 87          WRITE( NOUT, FMT = 9998 )RTREXC, LTREXC, NTREXC, KTREXC
 88       END IF
 89 *
 90       CALL ZGET37( RTRSNA, LTRSNA, NTRSNA, KTRSNA, NIN )
 91       IF( RTRSNA( 1 ).GT.THRESH .OR. RTRSNA( 2 ).GT.THRESH .OR.
 92      $    NTRSNA( 1 ).NE.0 .OR. NTRSNA( 2 ).NE.0 .OR. NTRSNA( 3 ).NE.0 )
 93      $     THEN
 94          OK = .FALSE.
 95          WRITE( NOUT, FMT = 9997 )RTRSNA, LTRSNA, NTRSNA, KTRSNA
 96       END IF
 97 *
 98       CALL ZGET38( RTRSEN, LTRSEN, NTRSEN, KTRSEN, NIN )
 99       IF( RTRSEN( 1 ).GT.THRESH .OR. RTRSEN( 2 ).GT.THRESH .OR.
100      $    NTRSEN( 1 ).NE.0 .OR. NTRSEN( 2 ).NE.0 .OR. NTRSEN( 3 ).NE.0 )
101      $     THEN
102          OK = .FALSE.
103          WRITE( NOUT, FMT = 9996 )RTRSEN, LTRSEN, NTRSEN, KTRSEN
104       END IF
105 *
106       NTESTS = KTRSYL + KTREXC + KTRSNA + KTRSEN
107       IF( OK )
108      $   WRITE( NOUT, FMT = 9995 )PATH, NTESTS
109 *
110  9999 FORMAT' Error in ZTRSYL: RMAX ='D12.3/ ' LMAX = ', I8,
111      $      ' NINFO=', I8, ' KNT=', I8 )
112  9998 FORMAT' Error in ZTREXC: RMAX ='D12.3/ ' LMAX = ', I8,
113      $      ' NINFO=', I8, ' KNT=', I8 )
114  9997 FORMAT' Error in ZTRSNA: RMAX ='3D12.3/ ' LMAX = ', 3I8,
115      $      ' NINFO=', 3I8, ' KNT=', I8 )
116  9996 FORMAT' Error in ZTRSEN: RMAX ='3D12.3/ ' LMAX = ', 3I8,
117      $      ' NINFO=', 3I8, ' KNT=', I8 )
118  9995 FORMAT/ 1X'All tests for ', A3,
119      $      ' routines passed the threshold (', I6, ' tests run)' )
120  9994 FORMAT' Tests of the Nonsymmetric eigenproblem condition',
121      $      ' estimation routines'/ ' ZTRSYL, CTREXC, CTRSNA, CTRSEN',
122      $      / )
123  9993 FORMAT' Relative machine precision (EPS) = 'D16.6,
124      $      / ' Safe minimum (SFMIN)             = 'D16.6/ )
125  9992 FORMAT' Routines pass computational tests if test ratio is ',
126      $      'less than'F8.2/ / )
127       RETURN
128 *
129 *     End of ZCHKEC
130 *
131       END