LAPACK  3.4.1
LAPACK: Linear Algebra PACKage
schkec.f
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00001 *> \brief \b SCHKEC
00002 *
00003 *  =========== DOCUMENTATION ===========
00004 *
00005 * Online html documentation available at 
00006 *            http://www.netlib.org/lapack/explore-html/ 
00007 *
00008 *  Definition:
00009 *  ===========
00010 *
00011 *       SUBROUTINE SCHKEC( THRESH, TSTERR, NIN, NOUT )
00012 * 
00013 *       .. Scalar Arguments ..
00014 *       LOGICAL            TSTERR
00015 *       INTEGER            NIN, NOUT
00016 *       REAL               THRESH
00017 *       ..
00018 *  
00019 *
00020 *> \par Purpose:
00021 *  =============
00022 *>
00023 *> \verbatim
00024 *>
00025 *> SCHKEC tests eigen- condition estimation routines
00026 *>        SLALN2, SLASY2, SLANV2, SLAQTR, SLAEXC,
00027 *>        STRSYL, STREXC, STRSNA, STRSEN
00028 *>
00029 *> In all cases, the routine runs through a fixed set of numerical
00030 *> examples, subjects them to various tests, and compares the test
00031 *> results to a threshold THRESH. In addition, STREXC, STRSNA and STRSEN
00032 *> are tested by reading in precomputed examples from a file (on input
00033 *> unit NIN).  Output is written to output unit NOUT.
00034 *> \endverbatim
00035 *
00036 *  Arguments:
00037 *  ==========
00038 *
00039 *> \param[in] THRESH
00040 *> \verbatim
00041 *>          THRESH is REAL
00042 *>          Threshold for residual tests.  A computed test ratio passes
00043 *>          the threshold if it is less than THRESH.
00044 *> \endverbatim
00045 *>
00046 *> \param[in] TSTERR
00047 *> \verbatim
00048 *>          TSTERR is LOGICAL
00049 *>          Flag that indicates whether error exits are to be tested.
00050 *> \endverbatim
00051 *>
00052 *> \param[in] NIN
00053 *> \verbatim
00054 *>          NIN is INTEGER
00055 *>          The logical unit number for input.
00056 *> \endverbatim
00057 *>
00058 *> \param[in] NOUT
00059 *> \verbatim
00060 *>          NOUT is INTEGER
00061 *>          The logical unit number for output.
00062 *> \endverbatim
00063 *
00064 *  Authors:
00065 *  ========
00066 *
00067 *> \author Univ. of Tennessee 
00068 *> \author Univ. of California Berkeley 
00069 *> \author Univ. of Colorado Denver 
00070 *> \author NAG Ltd. 
00071 *
00072 *> \date November 2011
00073 *
00074 *> \ingroup single_eig
00075 *
00076 *  =====================================================================
00077       SUBROUTINE SCHKEC( THRESH, TSTERR, NIN, NOUT )
00078 *
00079 *  -- LAPACK test routine (version 3.4.0) --
00080 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
00081 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
00082 *     November 2011
00083 *
00084 *     .. Scalar Arguments ..
00085       LOGICAL            TSTERR
00086       INTEGER            NIN, NOUT
00087       REAL               THRESH
00088 *     ..
00089 *
00090 *  =====================================================================
00091 *
00092 *     .. Local Scalars ..
00093       LOGICAL            OK
00094       CHARACTER*3        PATH
00095       INTEGER            KLAEXC, KLALN2, KLANV2, KLAQTR, KLASY2, KTREXC,
00096      $                   KTRSEN, KTRSNA, KTRSYL, LLAEXC, LLALN2, LLANV2,
00097      $                   LLAQTR, LLASY2, LTREXC, LTRSYL, NLANV2, NLAQTR,
00098      $                   NLASY2, NTESTS, NTRSYL
00099       REAL               EPS, RLAEXC, RLALN2, RLANV2, RLAQTR, RLASY2,
00100      $                   RTREXC, RTRSYL, SFMIN
00101 *     ..
00102 *     .. Local Arrays ..
00103       INTEGER            LTRSEN( 3 ), LTRSNA( 3 ), NLAEXC( 2 ),
00104      $                   NLALN2( 2 ), NTREXC( 3 ), NTRSEN( 3 ),
00105      $                   NTRSNA( 3 )
00106       REAL               RTRSEN( 3 ), RTRSNA( 3 )
00107 *     ..
00108 *     .. External Subroutines ..
00109       EXTERNAL           SERREC, SGET31, SGET32, SGET33, SGET34, SGET35,
00110      $                   SGET36, SGET37, SGET38, SGET39
00111 *     ..
00112 *     .. External Functions ..
00113       REAL               SLAMCH
00114       EXTERNAL           SLAMCH
00115 *     ..
00116 *     .. Executable Statements ..
00117 *
00118       PATH( 1: 1 ) = 'Single precision'
00119       PATH( 2: 3 ) = 'EC'
00120       EPS = SLAMCH( 'P' )
00121       SFMIN = SLAMCH( 'S' )
00122 *
00123 *     Print header information
00124 *
00125       WRITE( NOUT, FMT = 9989 )
00126       WRITE( NOUT, FMT = 9988 )EPS, SFMIN
00127       WRITE( NOUT, FMT = 9987 )THRESH
00128 *
00129 *     Test error exits if TSTERR is .TRUE.
00130 *
00131       IF( TSTERR )
00132      $   CALL SERREC( PATH, NOUT )
00133 *
00134       OK = .TRUE.
00135       CALL SGET31( RLALN2, LLALN2, NLALN2, KLALN2 )
00136       IF( RLALN2.GT.THRESH .OR. NLALN2( 1 ).NE.0 ) THEN
00137          OK = .FALSE.
00138          WRITE( NOUT, FMT = 9999 )RLALN2, LLALN2, NLALN2, KLALN2
00139       END IF
00140 *
00141       CALL SGET32( RLASY2, LLASY2, NLASY2, KLASY2 )
00142       IF( RLASY2.GT.THRESH ) THEN
00143          OK = .FALSE.
00144          WRITE( NOUT, FMT = 9998 )RLASY2, LLASY2, NLASY2, KLASY2
00145       END IF
00146 *
00147       CALL SGET33( RLANV2, LLANV2, NLANV2, KLANV2 )
00148       IF( RLANV2.GT.THRESH .OR. NLANV2.NE.0 ) THEN
00149          OK = .FALSE.
00150          WRITE( NOUT, FMT = 9997 )RLANV2, LLANV2, NLANV2, KLANV2
00151       END IF
00152 *
00153       CALL SGET34( RLAEXC, LLAEXC, NLAEXC, KLAEXC )
00154       IF( RLAEXC.GT.THRESH .OR. NLAEXC( 2 ).NE.0 ) THEN
00155          OK = .FALSE.
00156          WRITE( NOUT, FMT = 9996 )RLAEXC, LLAEXC, NLAEXC, KLAEXC
00157       END IF
00158 *
00159       CALL SGET35( RTRSYL, LTRSYL, NTRSYL, KTRSYL )
00160       IF( RTRSYL.GT.THRESH ) THEN
00161          OK = .FALSE.
00162          WRITE( NOUT, FMT = 9995 )RTRSYL, LTRSYL, NTRSYL, KTRSYL
00163       END IF
00164 *
00165       CALL SGET36( RTREXC, LTREXC, NTREXC, KTREXC, NIN )
00166       IF( RTREXC.GT.THRESH .OR. NTREXC( 3 ).GT.0 ) THEN
00167          OK = .FALSE.
00168          WRITE( NOUT, FMT = 9994 )RTREXC, LTREXC, NTREXC, KTREXC
00169       END IF
00170 *
00171       CALL SGET37( RTRSNA, LTRSNA, NTRSNA, KTRSNA, NIN )
00172       IF( RTRSNA( 1 ).GT.THRESH .OR. RTRSNA( 2 ).GT.THRESH .OR.
00173      $    NTRSNA( 1 ).NE.0 .OR. NTRSNA( 2 ).NE.0 .OR. NTRSNA( 3 ).NE.0 )
00174      $     THEN
00175          OK = .FALSE.
00176          WRITE( NOUT, FMT = 9993 )RTRSNA, LTRSNA, NTRSNA, KTRSNA
00177       END IF
00178 *
00179       CALL SGET38( RTRSEN, LTRSEN, NTRSEN, KTRSEN, NIN )
00180       IF( RTRSEN( 1 ).GT.THRESH .OR. RTRSEN( 2 ).GT.THRESH .OR.
00181      $    NTRSEN( 1 ).NE.0 .OR. NTRSEN( 2 ).NE.0 .OR. NTRSEN( 3 ).NE.0 )
00182      $     THEN
00183          OK = .FALSE.
00184          WRITE( NOUT, FMT = 9992 )RTRSEN, LTRSEN, NTRSEN, KTRSEN
00185       END IF
00186 *
00187       CALL SGET39( RLAQTR, LLAQTR, NLAQTR, KLAQTR )
00188       IF( RLAQTR.GT.THRESH ) THEN
00189          OK = .FALSE.
00190          WRITE( NOUT, FMT = 9991 )RLAQTR, LLAQTR, NLAQTR, KLAQTR
00191       END IF
00192 *
00193       NTESTS = KLALN2 + KLASY2 + KLANV2 + KLAEXC + KTRSYL + KTREXC +
00194      $         KTRSNA + KTRSEN + KLAQTR
00195       IF( OK )
00196      $   WRITE( NOUT, FMT = 9990 )PATH, NTESTS
00197 *
00198       RETURN
00199  9999 FORMAT( ' Error in SLALN2: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
00200      $      'INFO=', 2I8, ' KNT=', I8 )
00201  9998 FORMAT( ' Error in SLASY2: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
00202      $      'INFO=', I8, ' KNT=', I8 )
00203  9997 FORMAT( ' Error in SLANV2: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
00204      $      'INFO=', I8, ' KNT=', I8 )
00205  9996 FORMAT( ' Error in SLAEXC: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
00206      $      'INFO=', 2I8, ' KNT=', I8 )
00207  9995 FORMAT( ' Error in STRSYL: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
00208      $      'INFO=', I8, ' KNT=', I8 )
00209  9994 FORMAT( ' Error in STREXC: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
00210      $      'INFO=', 3I8, ' KNT=', I8 )
00211  9993 FORMAT( ' Error in STRSNA: RMAX =', 3E12.3, / ' LMAX = ', 3I8,
00212      $      ' NINFO=', 3I8, ' KNT=', I8 )
00213  9992 FORMAT( ' Error in STRSEN: RMAX =', 3E12.3, / ' LMAX = ', 3I8,
00214      $      ' NINFO=', 3I8, ' KNT=', I8 )
00215  9991 FORMAT( ' Error in SLAQTR: RMAX =', E12.3, / ' LMAX = ', I8, ' N',
00216      $      'INFO=', I8, ' KNT=', I8 )
00217  9990 FORMAT( / 1X, 'All tests for ', A3, ' routines passed the thresh',
00218      $      'old ( ', I6, ' tests run)' )
00219  9989 FORMAT( ' Tests of the Nonsymmetric eigenproblem condition estim',
00220      $      'ation routines', / ' SLALN2, SLASY2, SLANV2, SLAEXC, STRS',
00221      $      'YL, STREXC, STRSNA, STRSEN, SLAQTR', / )
00222  9988 FORMAT( ' Relative machine precision (EPS) = ', E16.6, / ' Safe ',
00223      $      'minimum (SFMIN)             = ', E16.6, / )
00224  9987 FORMAT( ' Routines pass computational tests if test ratio is les',
00225      $      's than', F8.2, / / )
00226 *
00227 *     End of SCHKEC
00228 *
00229       END
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