schkec()

subroutine schkec	(	real	thresh,
		logical	tsterr,
		integer	nin,
		integer	nout
	)

SCHKEC

Purpose:

 SCHKEC tests eigen- condition estimation routines
        SLALN2, SLASY2, SLANV2, SLAQTR, SLAEXC,
        STRSYL, STREXC, STRSNA, STRSEN, STGEXC

 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, STREXC, STRSNA and STRSEN
 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 REAL 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 75 of file schkec.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
      REAL               THRESH
*     ..
*
*  =====================================================================
*
*     .. Local Scalars ..
      LOGICAL            OK
      CHARACTER*3        PATH
      INTEGER            KLAEXC, KLALN2, KLANV2, KLAQTR, KLASY2, KTREXC,
     $                   KTRSEN, KTRSNA, KTRSYL, KTRSYL3, LLAEXC,
     $                   LLALN2, LLANV2, LLAQTR, LLASY2, LTREXC, LTRSYL,
     $                   NLANV2, NLAQTR, NLASY2, NTESTS, NTRSYL, KTGEXC,
     $                   LTGEXC
      REAL               EPS, RLAEXC, RLALN2, RLANV2, RLAQTR, RLASY2,
     $                   RTREXC, SFMIN, RTGEXC
*     ..
*     .. Local Arrays ..
      INTEGER            FTRSYL( 3 ), ITRSYL( 2 ), LTRSEN( 3 ),
     $                   LTRSNA( 3 ), NLAEXC( 2 ), NLALN2( 2 ),
     $                   NTGEXC( 2 ), NTREXC( 3 ), NTRSEN( 3 ),
     $                   NTRSNA( 3 )
      REAL               RTRSEN( 3 ), RTRSNA( 3 ), RTRSYL( 2 )
*     ..
*     .. External Subroutines ..
      EXTERNAL           serrec, sget31, sget32, sget33, sget34, sget35,
     $                   sget36, sget37, sget38, sget39, sget40, ssyl01
*     ..
*     .. External Functions ..
      REAL               SLAMCH
      EXTERNAL           slamch
*     ..
*     .. Executable Statements ..
*
      path( 1: 1 ) = 'Single precision'
      path( 2: 3 ) = 'EC'
      eps = slamch( 'P' )
      sfmin = slamch( '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 serrec( path, nout )
*
      ok = .true.
      CALL sget31( 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 sget32( rlasy2, llasy2, nlasy2, klasy2 )
      IF( rlasy2.GT.thresh ) THEN
         ok = .false.
         WRITE( nout, fmt = 9998 )rlasy2, llasy2, nlasy2, klasy2
      END IF
*
      CALL sget33( 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 sget34( 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 sget35( rtrsyl( 1 ), ltrsyl, ntrsyl, ktrsyl )
      IF( rtrsyl( 1 ).GT.thresh ) THEN
         ok = .false.
         WRITE( nout, fmt = 9995 )rtrsyl( 1 ), ltrsyl, ntrsyl, ktrsyl
      END IF
*
      CALL ssyl01( 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 sget36( 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 sget37( 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 sget38( 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 sget39( rlaqtr, llaqtr, nlaqtr, klaqtr )
      IF( rlaqtr.GT.thresh ) THEN
         ok = .false.
         WRITE( nout, fmt = 9991 )rlaqtr, llaqtr, nlaqtr, klaqtr
      END IF
*
      CALL sget40( rtgexc, ltgexc, ntgexc, ktgexc, nin )
      IF( rtgexc.GT.thresh ) THEN
         ok = .false.
         WRITE( nout, fmt = 9986 )rtgexc, ltgexc, ntgexc, ktgexc
      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 SLALN2: RMAX =', e12.3, / ' LMAX = ', i8, ' N',
     $      'INFO=', 2i8, ' KNT=', i8 )
 9998 FORMAT( ' Error in SLASY2: RMAX =', e12.3, / ' LMAX = ', i8, ' N',
     $      'INFO=', i8, ' KNT=', i8 )
 9997 FORMAT( ' Error in SLANV2: RMAX =', e12.3, / ' LMAX = ', i8, ' N',
     $      'INFO=', i8, ' KNT=', i8 )
 9996 FORMAT( ' Error in SLAEXC: RMAX =', e12.3, / ' LMAX = ', i8, ' N',
     $      'INFO=', 2i8, ' KNT=', i8 )
 9995 FORMAT( ' Error in STRSYL: RMAX =', e12.3, / ' LMAX = ', i8, ' N',
     $      'INFO=', i8, ' KNT=', i8 )
 9994 FORMAT( ' Error in STREXC: RMAX =', e12.3, / ' LMAX = ', i8, ' N',
     $      'INFO=', 3i8, ' KNT=', i8 )
 9993 FORMAT( ' Error in STRSNA: RMAX =', 3e12.3, / ' LMAX = ', 3i8,
     $      ' NINFO=', 3i8, ' KNT=', i8 )
 9992 FORMAT( ' Error in STRSEN: RMAX =', 3e12.3, / ' LMAX = ', 3i8,
     $      ' NINFO=', 3i8, ' KNT=', i8 )
 9991 FORMAT( ' Error in SLAQTR: RMAX =', e12.3, / ' 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', / ' SLALN2, SLASY2, SLANV2, SLAEXC, STRS',
     $      'YL, STREXC, STRSNA, STRSEN, SLAQTR', / )
 9988 FORMAT( ' Relative machine precision (EPS) = ', e16.6, / ' Safe ',
     $      'minimum (SFMIN)             = ', e16.6, / )
 9987 FORMAT( ' Routines pass computational tests if test ratio is les',
     $      's than', f8.2, / / )
 9986 FORMAT( ' Error in STGEXC: RMAX =', e12.3, / ' LMAX = ', i8, ' N',
     $      'INFO=', 2i8, ' KNT=', i8 )
 9972 FORMAT( 'STRSYL and STRSYL3 compute an inconsistent result ',
     $      'factor in ', i8, ' tests.')
 9971 FORMAT( 'Error in STRSYL3: ', i8, ' tests fail the threshold.', /
     $      'Maximum test ratio =', d12.3, ' threshold =', d12.3 )
 9970 FORMAT( 'Error in STRSYL: ', i8, ' tests fail the threshold.', /
     $      'Maximum test ratio =', d12.3, ' threshold =', d12.3 )
*
*     End of SCHKEC
*

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