LAPACK  3.4.1
LAPACK: Linear Algebra PACKage
dckgqr.f
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00001 *> \brief \b DCKGQR
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 DCKGQR( NM, MVAL, NP, PVAL, NN, NVAL, NMATS, ISEED,
00012 *                          THRESH, NMAX, A, AF, AQ, AR, TAUA, B, BF, BZ,
00013 *                          BT, BWK, TAUB, WORK, RWORK, NIN, NOUT, INFO )
00014 * 
00015 *       .. Scalar Arguments ..
00016 *       INTEGER            INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP
00017 *       DOUBLE PRECISION   THRESH
00018 *       ..
00019 *       .. Array Arguments ..
00020 *       INTEGER            ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
00021 *       DOUBLE PRECISION   A( * ), AF( * ), AQ( * ), AR( * ), B( * ),
00022 *      $                   BF( * ), BT( * ), BWK( * ), BZ( * ),
00023 *      $                   RWORK( * ), TAUA( * ), TAUB( * ), WORK( * )
00024 *       ..
00025 *  
00026 *
00027 *> \par Purpose:
00028 *  =============
00029 *>
00030 *> \verbatim
00031 *>
00032 *> DCKGQR tests
00033 *> DGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B,
00034 *> DGGRQF: GRQ factorization for M-by-N matrix A and P-by-N matrix B.
00035 *> \endverbatim
00036 *
00037 *  Arguments:
00038 *  ==========
00039 *
00040 *> \param[in] NM
00041 *> \verbatim
00042 *>          NM is INTEGER
00043 *>          The number of values of M contained in the vector MVAL.
00044 *> \endverbatim
00045 *>
00046 *> \param[in] MVAL
00047 *> \verbatim
00048 *>          MVAL is INTEGER array, dimension (NM)
00049 *>          The values of the matrix row(column) dimension M.
00050 *> \endverbatim
00051 *>
00052 *> \param[in] NP
00053 *> \verbatim
00054 *>          NP is INTEGER
00055 *>          The number of values of P contained in the vector PVAL.
00056 *> \endverbatim
00057 *>
00058 *> \param[in] PVAL
00059 *> \verbatim
00060 *>          PVAL is INTEGER array, dimension (NP)
00061 *>          The values of the matrix row(column) dimension P.
00062 *> \endverbatim
00063 *>
00064 *> \param[in] NN
00065 *> \verbatim
00066 *>          NN is INTEGER
00067 *>          The number of values of N contained in the vector NVAL.
00068 *> \endverbatim
00069 *>
00070 *> \param[in] NVAL
00071 *> \verbatim
00072 *>          NVAL is INTEGER array, dimension (NN)
00073 *>          The values of the matrix column(row) dimension N.
00074 *> \endverbatim
00075 *>
00076 *> \param[in] NMATS
00077 *> \verbatim
00078 *>          NMATS is INTEGER
00079 *>          The number of matrix types to be tested for each combination
00080 *>          of matrix dimensions.  If NMATS >= NTYPES (the maximum
00081 *>          number of matrix types), then all the different types are
00082 *>          generated for testing.  If NMATS < NTYPES, another input line
00083 *>          is read to get the numbers of the matrix types to be used.
00084 *> \endverbatim
00085 *>
00086 *> \param[in,out] ISEED
00087 *> \verbatim
00088 *>          ISEED is INTEGER array, dimension (4)
00089 *>          On entry, the seed of the random number generator.  The array
00090 *>          elements should be between 0 and 4095, otherwise they will be
00091 *>          reduced mod 4096, and ISEED(4) must be odd.
00092 *>          On exit, the next seed in the random number sequence after
00093 *>          all the test matrices have been generated.
00094 *> \endverbatim
00095 *>
00096 *> \param[in] THRESH
00097 *> \verbatim
00098 *>          THRESH is DOUBLE PRECISION
00099 *>          The threshold value for the test ratios.  A result is
00100 *>          included in the output file if RESULT >= THRESH.  To have
00101 *>          every test ratio printed, use THRESH = 0.
00102 *> \endverbatim
00103 *>
00104 *> \param[in] NMAX
00105 *> \verbatim
00106 *>          NMAX is INTEGER
00107 *>          The maximum value permitted for M or N, used in dimensioning
00108 *>          the work arrays.
00109 *> \endverbatim
00110 *>
00111 *> \param[out] A
00112 *> \verbatim
00113 *>          A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00114 *> \endverbatim
00115 *>
00116 *> \param[out] AF
00117 *> \verbatim
00118 *>          AF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00119 *> \endverbatim
00120 *>
00121 *> \param[out] AQ
00122 *> \verbatim
00123 *>          AQ is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00124 *> \endverbatim
00125 *>
00126 *> \param[out] AR
00127 *> \verbatim
00128 *>          AR is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00129 *> \endverbatim
00130 *>
00131 *> \param[out] TAUA
00132 *> \verbatim
00133 *>          TAUA is DOUBLE PRECISION array, dimension (NMAX)
00134 *> \endverbatim
00135 *>
00136 *> \param[out] B
00137 *> \verbatim
00138 *>          B is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00139 *> \endverbatim
00140 *>
00141 *> \param[out] BF
00142 *> \verbatim
00143 *>          BF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00144 *> \endverbatim
00145 *>
00146 *> \param[out] BZ
00147 *> \verbatim
00148 *>          BZ is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00149 *> \endverbatim
00150 *>
00151 *> \param[out] BT
00152 *> \verbatim
00153 *>          BT is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00154 *> \endverbatim
00155 *>
00156 *> \param[out] BWK
00157 *> \verbatim
00158 *>          BWK is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00159 *> \endverbatim
00160 *>
00161 *> \param[out] TAUB
00162 *> \verbatim
00163 *>          TAUB is DOUBLE PRECISION array, dimension (NMAX)
00164 *> \endverbatim
00165 *>
00166 *> \param[out] WORK
00167 *> \verbatim
00168 *>          WORK is DOUBLE PRECISION array, dimension (NMAX*NMAX)
00169 *> \endverbatim
00170 *>
00171 *> \param[out] RWORK
00172 *> \verbatim
00173 *>          RWORK is DOUBLE PRECISION array, dimension (NMAX)
00174 *> \endverbatim
00175 *>
00176 *> \param[in] NIN
00177 *> \verbatim
00178 *>          NIN is INTEGER
00179 *>          The unit number for input.
00180 *> \endverbatim
00181 *>
00182 *> \param[in] NOUT
00183 *> \verbatim
00184 *>          NOUT is INTEGER
00185 *>          The unit number for output.
00186 *> \endverbatim
00187 *>
00188 *> \param[out] INFO
00189 *> \verbatim
00190 *>          INFO is INTEGER
00191 *>          = 0 :  successful exit
00192 *>          > 0 :  If DLATMS returns an error code, the absolute value
00193 *>                 of it is returned.
00194 *> \endverbatim
00195 *
00196 *  Authors:
00197 *  ========
00198 *
00199 *> \author Univ. of Tennessee 
00200 *> \author Univ. of California Berkeley 
00201 *> \author Univ. of Colorado Denver 
00202 *> \author NAG Ltd. 
00203 *
00204 *> \date November 2011
00205 *
00206 *> \ingroup double_eig
00207 *
00208 *  =====================================================================
00209       SUBROUTINE DCKGQR( NM, MVAL, NP, PVAL, NN, NVAL, NMATS, ISEED,
00210      $                   THRESH, NMAX, A, AF, AQ, AR, TAUA, B, BF, BZ,
00211      $                   BT, BWK, TAUB, WORK, RWORK, NIN, NOUT, INFO )
00212 *
00213 *  -- LAPACK test routine (version 3.4.0) --
00214 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
00215 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
00216 *     November 2011
00217 *
00218 *     .. Scalar Arguments ..
00219       INTEGER            INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP
00220       DOUBLE PRECISION   THRESH
00221 *     ..
00222 *     .. Array Arguments ..
00223       INTEGER            ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
00224       DOUBLE PRECISION   A( * ), AF( * ), AQ( * ), AR( * ), B( * ),
00225      $                   BF( * ), BT( * ), BWK( * ), BZ( * ),
00226      $                   RWORK( * ), TAUA( * ), TAUB( * ), WORK( * )
00227 *     ..
00228 *
00229 *  =====================================================================
00230 *
00231 *     .. Parameters ..
00232       INTEGER            NTESTS
00233       PARAMETER          ( NTESTS = 7 )
00234       INTEGER            NTYPES
00235       PARAMETER          ( NTYPES = 8 )
00236 *     ..
00237 *     .. Local Scalars ..
00238       LOGICAL            FIRSTT
00239       CHARACTER          DISTA, DISTB, TYPE
00240       CHARACTER*3        PATH
00241       INTEGER            I, IINFO, IM, IMAT, IN, IP, KLA, KLB, KUA, KUB,
00242      $                   LDA, LDB, LWORK, M, MODEA, MODEB, N, NFAIL,
00243      $                   NRUN, NT, P
00244       DOUBLE PRECISION   ANORM, BNORM, CNDNMA, CNDNMB
00245 *     ..
00246 *     .. Local Arrays ..
00247       LOGICAL            DOTYPE( NTYPES )
00248       DOUBLE PRECISION   RESULT( NTESTS )
00249 *     ..
00250 *     .. External Subroutines ..
00251       EXTERNAL           ALAHDG, ALAREQ, ALASUM, DGQRTS, DGRQTS, DLATB9,
00252      $                   DLATMS
00253 *     ..
00254 *     .. Intrinsic Functions ..
00255       INTRINSIC          ABS
00256 *     ..
00257 *     .. Executable Statements ..
00258 *
00259 *     Initialize constants.
00260 *
00261       PATH( 1: 3 ) = 'GQR'
00262       INFO = 0
00263       NRUN = 0
00264       NFAIL = 0
00265       FIRSTT = .TRUE.
00266       CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT )
00267       LDA = NMAX
00268       LDB = NMAX
00269       LWORK = NMAX*NMAX
00270 *
00271 *     Do for each value of M in MVAL.
00272 *
00273       DO 60 IM = 1, NM
00274          M = MVAL( IM )
00275 *
00276 *        Do for each value of P in PVAL.
00277 *
00278          DO 50 IP = 1, NP
00279             P = PVAL( IP )
00280 *
00281 *           Do for each value of N in NVAL.
00282 *
00283             DO 40 IN = 1, NN
00284                N = NVAL( IN )
00285 *
00286                DO 30 IMAT = 1, NTYPES
00287 *
00288 *                 Do the tests only if DOTYPE( IMAT ) is true.
00289 *
00290                   IF( .NOT.DOTYPE( IMAT ) )
00291      $               GO TO 30
00292 *
00293 *                 Test DGGRQF
00294 *
00295 *                 Set up parameters with DLATB9 and generate test
00296 *                 matrices A and B with DLATMS.
00297 *
00298                   CALL DLATB9( 'GRQ', IMAT, M, P, N, TYPE, KLA, KUA,
00299      $                         KLB, KUB, ANORM, BNORM, MODEA, MODEB,
00300      $                         CNDNMA, CNDNMB, DISTA, DISTB )
00301 *
00302 *                 Generate M by N matrix A
00303 *
00304                   CALL DLATMS( M, N, DISTA, ISEED, TYPE, RWORK, MODEA,
00305      $                         CNDNMA, ANORM, KLA, KUA, 'No packing', A,
00306      $                         LDA, WORK, IINFO )
00307                   IF( IINFO.NE.0 ) THEN
00308                      WRITE( NOUT, FMT = 9999 )IINFO
00309                      INFO = ABS( IINFO )
00310                      GO TO 30
00311                   END IF
00312 *
00313 *                 Generate P by N matrix B
00314 *
00315                   CALL DLATMS( P, N, DISTB, ISEED, TYPE, RWORK, MODEB,
00316      $                         CNDNMB, BNORM, KLB, KUB, 'No packing', B,
00317      $                         LDB, WORK, IINFO )
00318                   IF( IINFO.NE.0 ) THEN
00319                      WRITE( NOUT, FMT = 9999 )IINFO
00320                      INFO = ABS( IINFO )
00321                      GO TO 30
00322                   END IF
00323 *
00324                   NT = 4
00325 *
00326                   CALL DGRQTS( M, P, N, A, AF, AQ, AR, LDA, TAUA, B, BF,
00327      $                         BZ, BT, BWK, LDB, TAUB, WORK, LWORK,
00328      $                         RWORK, RESULT )
00329 *
00330 *                 Print information about the tests that did not
00331 *                 pass the threshold.
00332 *
00333                   DO 10 I = 1, NT
00334                      IF( RESULT( I ).GE.THRESH ) THEN
00335                         IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
00336                            FIRSTT = .FALSE.
00337                            CALL ALAHDG( NOUT, 'GRQ' )
00338                         END IF
00339                         WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I,
00340      $                     RESULT( I )
00341                         NFAIL = NFAIL + 1
00342                      END IF
00343    10             CONTINUE
00344                   NRUN = NRUN + NT
00345 *
00346 *                 Test DGGQRF
00347 *
00348 *                 Set up parameters with DLATB9 and generate test
00349 *                 matrices A and B with DLATMS.
00350 *
00351                   CALL DLATB9( 'GQR', IMAT, M, P, N, TYPE, KLA, KUA,
00352      $                         KLB, KUB, ANORM, BNORM, MODEA, MODEB,
00353      $                         CNDNMA, CNDNMB, DISTA, DISTB )
00354 *
00355 *                 Generate N-by-M matrix  A
00356 *
00357                   CALL DLATMS( N, M, DISTA, ISEED, TYPE, RWORK, MODEA,
00358      $                         CNDNMA, ANORM, KLA, KUA, 'No packing', A,
00359      $                         LDA, WORK, IINFO )
00360                   IF( IINFO.NE.0 ) THEN
00361                      WRITE( NOUT, FMT = 9999 )IINFO
00362                      INFO = ABS( IINFO )
00363                      GO TO 30
00364                   END IF
00365 *
00366 *                 Generate N-by-P matrix  B
00367 *
00368                   CALL DLATMS( N, P, DISTB, ISEED, TYPE, RWORK, MODEA,
00369      $                         CNDNMA, BNORM, KLB, KUB, 'No packing', B,
00370      $                         LDB, WORK, IINFO )
00371                   IF( IINFO.NE.0 ) THEN
00372                      WRITE( NOUT, FMT = 9999 )IINFO
00373                      INFO = ABS( IINFO )
00374                      GO TO 30
00375                   END IF
00376 *
00377                   NT = 4
00378 *
00379                   CALL DGQRTS( N, M, P, A, AF, AQ, AR, LDA, TAUA, B, BF,
00380      $                         BZ, BT, BWK, LDB, TAUB, WORK, LWORK,
00381      $                         RWORK, RESULT )
00382 *
00383 *                 Print information about the tests that did not
00384 *                 pass the threshold.
00385 *
00386                   DO 20 I = 1, NT
00387                      IF( RESULT( I ).GE.THRESH ) THEN
00388                         IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
00389                            FIRSTT = .FALSE.
00390                            CALL ALAHDG( NOUT, PATH )
00391                         END IF
00392                         WRITE( NOUT, FMT = 9997 )N, M, P, IMAT, I,
00393      $                     RESULT( I )
00394                         NFAIL = NFAIL + 1
00395                      END IF
00396    20             CONTINUE
00397                   NRUN = NRUN + NT
00398 *
00399    30          CONTINUE
00400    40       CONTINUE
00401    50    CONTINUE
00402    60 CONTINUE
00403 *
00404 *     Print a summary of the results.
00405 *
00406       CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 )
00407 *
00408  9999 FORMAT( ' DLATMS in DCKGQR:    INFO = ', I5 )
00409  9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2,
00410      $      ', test ', I2, ', ratio=', G13.6 )
00411  9997 FORMAT( ' N=', I4, ' M=', I4, ', P=', I4, ', type ', I2,
00412      $      ', test ', I2, ', ratio=', G13.6 )
00413       RETURN
00414 *
00415 *     End of DCKGQR
00416 *
00417       END
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