LAPACK  3.4.1
LAPACK: Linear Algebra PACKage
cchklq.f
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00001 *> \brief \b CCHKLQ
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 CCHKLQ( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
00012 *                          NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AL, AC,
00013 *                          B, X, XACT, TAU, WORK, RWORK, NOUT )
00014 * 
00015 *       .. Scalar Arguments ..
00016 *       LOGICAL            TSTERR
00017 *       INTEGER            NM, NMAX, NN, NNB, NOUT, NRHS
00018 *       REAL               THRESH
00019 *       ..
00020 *       .. Array Arguments ..
00021 *       LOGICAL            DOTYPE( * )
00022 *       INTEGER            MVAL( * ), NBVAL( * ), NVAL( * ),
00023 *      $                   NXVAL( * )
00024 *       REAL               RWORK( * )
00025 *       COMPLEX            A( * ), AC( * ), AF( * ), AL( * ), AQ( * ),
00026 *      $                   B( * ), TAU( * ), WORK( * ), X( * ), XACT( * )
00027 *       ..
00028 *  
00029 *
00030 *> \par Purpose:
00031 *  =============
00032 *>
00033 *> \verbatim
00034 *>
00035 *> CCHKLQ tests CGELQF, CUNGLQ and CUNMLQ.
00036 *> \endverbatim
00037 *
00038 *  Arguments:
00039 *  ==========
00040 *
00041 *> \param[in] DOTYPE
00042 *> \verbatim
00043 *>          DOTYPE is LOGICAL array, dimension (NTYPES)
00044 *>          The matrix types to be used for testing.  Matrices of type j
00045 *>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
00046 *>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
00047 *> \endverbatim
00048 *>
00049 *> \param[in] NM
00050 *> \verbatim
00051 *>          NM is INTEGER
00052 *>          The number of values of M contained in the vector MVAL.
00053 *> \endverbatim
00054 *>
00055 *> \param[in] MVAL
00056 *> \verbatim
00057 *>          MVAL is INTEGER array, dimension (NM)
00058 *>          The values of the matrix row dimension M.
00059 *> \endverbatim
00060 *>
00061 *> \param[in] NN
00062 *> \verbatim
00063 *>          NN is INTEGER
00064 *>          The number of values of N contained in the vector NVAL.
00065 *> \endverbatim
00066 *>
00067 *> \param[in] NVAL
00068 *> \verbatim
00069 *>          NVAL is INTEGER array, dimension (NN)
00070 *>          The values of the matrix column dimension N.
00071 *> \endverbatim
00072 *>
00073 *> \param[in] NNB
00074 *> \verbatim
00075 *>          NNB is INTEGER
00076 *>          The number of values of NB and NX contained in the
00077 *>          vectors NBVAL and NXVAL.  The blocking parameters are used
00078 *>          in pairs (NB,NX).
00079 *> \endverbatim
00080 *>
00081 *> \param[in] NBVAL
00082 *> \verbatim
00083 *>          NBVAL is INTEGER array, dimension (NNB)
00084 *>          The values of the blocksize NB.
00085 *> \endverbatim
00086 *>
00087 *> \param[in] NXVAL
00088 *> \verbatim
00089 *>          NXVAL is INTEGER array, dimension (NNB)
00090 *>          The values of the crossover point NX.
00091 *> \endverbatim
00092 *>
00093 *> \param[in] NRHS
00094 *> \verbatim
00095 *>          NRHS is INTEGER
00096 *>          The number of right hand side vectors to be generated for
00097 *>          each linear system.
00098 *> \endverbatim
00099 *>
00100 *> \param[in] THRESH
00101 *> \verbatim
00102 *>          THRESH is REAL
00103 *>          The threshold value for the test ratios.  A result is
00104 *>          included in the output file if RESULT >= THRESH.  To have
00105 *>          every test ratio printed, use THRESH = 0.
00106 *> \endverbatim
00107 *>
00108 *> \param[in] TSTERR
00109 *> \verbatim
00110 *>          TSTERR is LOGICAL
00111 *>          Flag that indicates whether error exits are to be tested.
00112 *> \endverbatim
00113 *>
00114 *> \param[in] NMAX
00115 *> \verbatim
00116 *>          NMAX is INTEGER
00117 *>          The maximum value permitted for M or N, used in dimensioning
00118 *>          the work arrays.
00119 *> \endverbatim
00120 *>
00121 *> \param[out] A
00122 *> \verbatim
00123 *>          A is COMPLEX array, dimension (NMAX*NMAX)
00124 *> \endverbatim
00125 *>
00126 *> \param[out] AF
00127 *> \verbatim
00128 *>          AF is COMPLEX array, dimension (NMAX*NMAX)
00129 *> \endverbatim
00130 *>
00131 *> \param[out] AQ
00132 *> \verbatim
00133 *>          AQ is COMPLEX array, dimension (NMAX*NMAX)
00134 *> \endverbatim
00135 *>
00136 *> \param[out] AL
00137 *> \verbatim
00138 *>          AL is COMPLEX array, dimension (NMAX*NMAX)
00139 *> \endverbatim
00140 *>
00141 *> \param[out] AC
00142 *> \verbatim
00143 *>          AC is COMPLEX array, dimension (NMAX*NMAX)
00144 *> \endverbatim
00145 *>
00146 *> \param[out] B
00147 *> \verbatim
00148 *>          B is COMPLEX array, dimension (NMAX*NRHS)
00149 *> \endverbatim
00150 *>
00151 *> \param[out] X
00152 *> \verbatim
00153 *>          X is COMPLEX array, dimension (NMAX*NRHS)
00154 *> \endverbatim
00155 *>
00156 *> \param[out] XACT
00157 *> \verbatim
00158 *>          XACT is COMPLEX array, dimension (NMAX*NRHS)
00159 *> \endverbatim
00160 *>
00161 *> \param[out] TAU
00162 *> \verbatim
00163 *>          TAU is COMPLEX array, dimension (NMAX)
00164 *> \endverbatim
00165 *>
00166 *> \param[out] WORK
00167 *> \verbatim
00168 *>          WORK is COMPLEX array, dimension (NMAX*NMAX)
00169 *> \endverbatim
00170 *>
00171 *> \param[out] RWORK
00172 *> \verbatim
00173 *>          RWORK is REAL array, dimension (NMAX)
00174 *> \endverbatim
00175 *>
00176 *> \param[in] NOUT
00177 *> \verbatim
00178 *>          NOUT is INTEGER
00179 *>          The unit number for output.
00180 *> \endverbatim
00181 *
00182 *  Authors:
00183 *  ========
00184 *
00185 *> \author Univ. of Tennessee 
00186 *> \author Univ. of California Berkeley 
00187 *> \author Univ. of Colorado Denver 
00188 *> \author NAG Ltd. 
00189 *
00190 *> \date November 2011
00191 *
00192 *> \ingroup complex_lin
00193 *
00194 *  =====================================================================
00195       SUBROUTINE CCHKLQ( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
00196      $                   NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AL, AC,
00197      $                   B, X, XACT, TAU, WORK, RWORK, NOUT )
00198 *
00199 *  -- LAPACK test routine (version 3.4.0) --
00200 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
00201 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
00202 *     November 2011
00203 *
00204 *     .. Scalar Arguments ..
00205       LOGICAL            TSTERR
00206       INTEGER            NM, NMAX, NN, NNB, NOUT, NRHS
00207       REAL               THRESH
00208 *     ..
00209 *     .. Array Arguments ..
00210       LOGICAL            DOTYPE( * )
00211       INTEGER            MVAL( * ), NBVAL( * ), NVAL( * ),
00212      $                   NXVAL( * )
00213       REAL               RWORK( * )
00214       COMPLEX            A( * ), AC( * ), AF( * ), AL( * ), AQ( * ),
00215      $                   B( * ), TAU( * ), WORK( * ), X( * ), XACT( * )
00216 *     ..
00217 *
00218 *  =====================================================================
00219 *
00220 *     .. Parameters ..
00221       INTEGER            NTESTS
00222       PARAMETER          ( NTESTS = 7 )
00223       INTEGER            NTYPES
00224       PARAMETER          ( NTYPES = 8 )
00225       REAL               ZERO
00226       PARAMETER          ( ZERO = 0.0E0 )
00227 *     ..
00228 *     .. Local Scalars ..
00229       CHARACTER          DIST, TYPE
00230       CHARACTER*3        PATH
00231       INTEGER            I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA,
00232      $                   LWORK, M, MINMN, MODE, N, NB, NERRS, NFAIL, NK,
00233      $                   NRUN, NT, NX
00234       REAL               ANORM, CNDNUM
00235 *     ..
00236 *     .. Local Arrays ..
00237       INTEGER            ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
00238       REAL               RESULT( NTESTS )
00239 *     ..
00240 *     .. External Subroutines ..
00241       EXTERNAL           ALAERH, ALAHD, ALASUM, CERRLQ, CGELQS, CGET02,
00242      $                   CLACPY, CLARHS, CLATB4, CLATMS, CLQT01, CLQT02,
00243      $                   CLQT03, XLAENV
00244 *     ..
00245 *     .. Intrinsic Functions ..
00246       INTRINSIC          MAX, MIN
00247 *     ..
00248 *     .. Scalars in Common ..
00249       LOGICAL            LERR, OK
00250       CHARACTER*32       SRNAMT
00251       INTEGER            INFOT, NUNIT
00252 *     ..
00253 *     .. Common blocks ..
00254       COMMON             / INFOC / INFOT, NUNIT, OK, LERR
00255       COMMON             / SRNAMC / SRNAMT
00256 *     ..
00257 *     .. Data statements ..
00258       DATA               ISEEDY / 1988, 1989, 1990, 1991 /
00259 *     ..
00260 *     .. Executable Statements ..
00261 *
00262 *     Initialize constants and the random number seed.
00263 *
00264       PATH( 1: 1 ) = 'Complex precision'
00265       PATH( 2: 3 ) = 'LQ'
00266       NRUN = 0
00267       NFAIL = 0
00268       NERRS = 0
00269       DO 10 I = 1, 4
00270          ISEED( I ) = ISEEDY( I )
00271    10 CONTINUE
00272 *
00273 *     Test the error exits
00274 *
00275       IF( TSTERR )
00276      $   CALL CERRLQ( PATH, NOUT )
00277       INFOT = 0
00278       CALL XLAENV( 2, 2 )
00279 *
00280       LDA = NMAX
00281       LWORK = NMAX*MAX( NMAX, NRHS )
00282 *
00283 *     Do for each value of M in MVAL.
00284 *
00285       DO 70 IM = 1, NM
00286          M = MVAL( IM )
00287 *
00288 *        Do for each value of N in NVAL.
00289 *
00290          DO 60 IN = 1, NN
00291             N = NVAL( IN )
00292             MINMN = MIN( M, N )
00293             DO 50 IMAT = 1, NTYPES
00294 *
00295 *              Do the tests only if DOTYPE( IMAT ) is true.
00296 *
00297                IF( .NOT.DOTYPE( IMAT ) )
00298      $            GO TO 50
00299 *
00300 *              Set up parameters with CLATB4 and generate a test matrix
00301 *              with CLATMS.
00302 *
00303                CALL CLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE,
00304      $                      CNDNUM, DIST )
00305 *
00306                SRNAMT = 'CLATMS'
00307                CALL CLATMS( M, N, DIST, ISEED, TYPE, RWORK, MODE,
00308      $                      CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
00309      $                      WORK, INFO )
00310 *
00311 *              Check error code from CLATMS.
00312 *
00313                IF( INFO.NE.0 ) THEN
00314                   CALL ALAERH( PATH, 'CLATMS', INFO, 0, ' ', M, N, -1,
00315      $                         -1, -1, IMAT, NFAIL, NERRS, NOUT )
00316                   GO TO 50
00317                END IF
00318 *
00319 *              Set some values for K: the first value must be MINMN,
00320 *              corresponding to the call of CLQT01; other values are
00321 *              used in the calls of CLQT02, and must not exceed MINMN.
00322 *
00323                KVAL( 1 ) = MINMN
00324                KVAL( 2 ) = 0
00325                KVAL( 3 ) = 1
00326                KVAL( 4 ) = MINMN / 2
00327                IF( MINMN.EQ.0 ) THEN
00328                   NK = 1
00329                ELSE IF( MINMN.EQ.1 ) THEN
00330                   NK = 2
00331                ELSE IF( MINMN.LE.3 ) THEN
00332                   NK = 3
00333                ELSE
00334                   NK = 4
00335                END IF
00336 *
00337 *              Do for each value of K in KVAL
00338 *
00339                DO 40 IK = 1, NK
00340                   K = KVAL( IK )
00341 *
00342 *                 Do for each pair of values (NB,NX) in NBVAL and NXVAL.
00343 *
00344                   DO 30 INB = 1, NNB
00345                      NB = NBVAL( INB )
00346                      CALL XLAENV( 1, NB )
00347                      NX = NXVAL( INB )
00348                      CALL XLAENV( 3, NX )
00349                      DO I = 1, NTESTS
00350                         RESULT( I ) = ZERO
00351                      END DO
00352                      NT = 2
00353                      IF( IK.EQ.1 ) THEN
00354 *
00355 *                       Test CGELQF
00356 *
00357                         CALL CLQT01( M, N, A, AF, AQ, AL, LDA, TAU,
00358      $                               WORK, LWORK, RWORK, RESULT( 1 ) )
00359                      ELSE IF( M.LE.N ) THEN
00360 *
00361 *                       Test CUNGLQ, using factorization
00362 *                       returned by CLQT01
00363 *
00364                         CALL CLQT02( M, N, K, A, AF, AQ, AL, LDA, TAU,
00365      $                               WORK, LWORK, RWORK, RESULT( 1 ) )
00366                      END IF
00367                      IF( M.GE.K ) THEN
00368 *
00369 *                       Test CUNMLQ, using factorization returned
00370 *                       by CLQT01
00371 *
00372                         CALL CLQT03( M, N, K, AF, AC, AL, AQ, LDA, TAU,
00373      $                               WORK, LWORK, RWORK, RESULT( 3 ) )
00374                         NT = NT + 4
00375 *
00376 *                       If M>=N and K=N, call CGELQS to solve a system
00377 *                       with NRHS right hand sides and compute the
00378 *                       residual.
00379 *
00380                         IF( K.EQ.M .AND. INB.EQ.1 ) THEN
00381 *
00382 *                          Generate a solution and set the right
00383 *                          hand side.
00384 *
00385                            SRNAMT = 'CLARHS'
00386                            CALL CLARHS( PATH, 'New', 'Full',
00387      $                                  'No transpose', M, N, 0, 0,
00388      $                                  NRHS, A, LDA, XACT, LDA, B, LDA,
00389      $                                  ISEED, INFO )
00390 *
00391                            CALL CLACPY( 'Full', M, NRHS, B, LDA, X,
00392      $                                  LDA )
00393                            SRNAMT = 'CGELQS'
00394                            CALL CGELQS( M, N, NRHS, AF, LDA, TAU, X,
00395      $                                  LDA, WORK, LWORK, INFO )
00396 *
00397 *                          Check error code from CGELQS.
00398 *
00399                            IF( INFO.NE.0 )
00400      $                        CALL ALAERH( PATH, 'CGELQS', INFO, 0, ' ',
00401      $                                     M, N, NRHS, -1, NB, IMAT,
00402      $                                     NFAIL, NERRS, NOUT )
00403 *
00404                            CALL CGET02( 'No transpose', M, N, NRHS, A,
00405      $                                  LDA, X, LDA, B, LDA, RWORK,
00406      $                                  RESULT( 7 ) )
00407                            NT = NT + 1
00408                         END IF
00409                      END IF
00410 *
00411 *                    Print information about the tests that did not
00412 *                    pass the threshold.
00413 *
00414                      DO 20 I = 1, NT
00415                         IF( RESULT( I ).GE.THRESH ) THEN
00416                            IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
00417      $                        CALL ALAHD( NOUT, PATH )
00418                            WRITE( NOUT, FMT = 9999 )M, N, K, NB, NX,
00419      $                        IMAT, I, RESULT( I )
00420                            NFAIL = NFAIL + 1
00421                         END IF
00422    20                CONTINUE
00423                      NRUN = NRUN + NT
00424    30             CONTINUE
00425    40          CONTINUE
00426    50       CONTINUE
00427    60    CONTINUE
00428    70 CONTINUE
00429 *
00430 *     Print a summary of the results.
00431 *
00432       CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
00433 *
00434  9999 FORMAT( ' M=', I5, ', N=', I5, ', K=', I5, ', NB=', I4, ', NX=',
00435      $      I5, ', type ', I2, ', test(', I2, ')=', G12.5 )
00436       RETURN
00437 *
00438 *     End of CCHKLQ
00439 *
00440       END
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