LAPACK  3.4.1
LAPACK: Linear Algebra PACKage
zckgsv.f
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00001 *> \brief \b ZCKGSV
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 ZCKGSV( NM, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
00012 *                          NMAX, A, AF, B, BF, U, V, Q, ALPHA, BETA, R,
00013 *                          IWORK, WORK, RWORK, NIN, NOUT, INFO )
00014 * 
00015 *       .. Scalar Arguments ..
00016 *       INTEGER            INFO, NIN, NM, NMATS, NMAX, NOUT
00017 *       DOUBLE PRECISION   THRESH
00018 *       ..
00019 *       .. Array Arguments ..
00020 *       INTEGER            ISEED( 4 ), IWORK( * ), MVAL( * ), NVAL( * ),
00021 *      $                   PVAL( * )
00022 *       DOUBLE PRECISION   ALPHA( * ), BETA( * ), RWORK( * )
00023 *       COMPLEX*16         A( * ), AF( * ), B( * ), BF( * ), Q( * ),
00024 *      $                   R( * ), U( * ), V( * ), WORK( * )
00025 *       ..
00026 *  
00027 *
00028 *> \par Purpose:
00029 *  =============
00030 *>
00031 *> \verbatim
00032 *>
00033 *> ZCKGSV tests ZGGSVD:
00034 *>        the GSVD 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 dimension M.
00050 *> \endverbatim
00051 *>
00052 *> \param[in] PVAL
00053 *> \verbatim
00054 *>          PVAL is INTEGER array, dimension (NP)
00055 *>          The values of the matrix row dimension P.
00056 *> \endverbatim
00057 *>
00058 *> \param[in] NVAL
00059 *> \verbatim
00060 *>          NVAL is INTEGER array, dimension (NN)
00061 *>          The values of the matrix column dimension N.
00062 *> \endverbatim
00063 *>
00064 *> \param[in] NMATS
00065 *> \verbatim
00066 *>          NMATS is INTEGER
00067 *>          The number of matrix types to be tested for each combination
00068 *>          of matrix dimensions.  If NMATS >= NTYPES (the maximum
00069 *>          number of matrix types), then all the different types are
00070 *>          generated for testing.  If NMATS < NTYPES, another input line
00071 *>          is read to get the numbers of the matrix types to be used.
00072 *> \endverbatim
00073 *>
00074 *> \param[in,out] ISEED
00075 *> \verbatim
00076 *>          ISEED is INTEGER array, dimension (4)
00077 *>          On entry, the seed of the random number generator.  The array
00078 *>          elements should be between 0 and 4095, otherwise they will be
00079 *>          reduced mod 4096, and ISEED(4) must be odd.
00080 *>          On exit, the next seed in the random number sequence after
00081 *>          all the test matrices have been generated.
00082 *> \endverbatim
00083 *>
00084 *> \param[in] THRESH
00085 *> \verbatim
00086 *>          THRESH is DOUBLE PRECISION
00087 *>          The threshold value for the test ratios.  A result is
00088 *>          included in the output file if RESULT >= THRESH.  To have
00089 *>          every test ratio printed, use THRESH = 0.
00090 *> \endverbatim
00091 *>
00092 *> \param[in] NMAX
00093 *> \verbatim
00094 *>          NMAX is INTEGER
00095 *>          The maximum value permitted for M or N, used in dimensioning
00096 *>          the work arrays.
00097 *> \endverbatim
00098 *>
00099 *> \param[out] A
00100 *> \verbatim
00101 *>          A is COMPLEX*16 array, dimension (NMAX*NMAX)
00102 *> \endverbatim
00103 *>
00104 *> \param[out] AF
00105 *> \verbatim
00106 *>          AF is COMPLEX*16 array, dimension (NMAX*NMAX)
00107 *> \endverbatim
00108 *>
00109 *> \param[out] B
00110 *> \verbatim
00111 *>          B is COMPLEX*16 array, dimension (NMAX*NMAX)
00112 *> \endverbatim
00113 *>
00114 *> \param[out] BF
00115 *> \verbatim
00116 *>          BF is COMPLEX*16 array, dimension (NMAX*NMAX)
00117 *> \endverbatim
00118 *>
00119 *> \param[out] U
00120 *> \verbatim
00121 *>          U is COMPLEX*16 array, dimension (NMAX*NMAX)
00122 *> \endverbatim
00123 *>
00124 *> \param[out] V
00125 *> \verbatim
00126 *>          V is COMPLEX*16 array, dimension (NMAX*NMAX)
00127 *> \endverbatim
00128 *>
00129 *> \param[out] Q
00130 *> \verbatim
00131 *>          Q is COMPLEX*16 array, dimension (NMAX*NMAX)
00132 *> \endverbatim
00133 *>
00134 *> \param[out] ALPHA
00135 *> \verbatim
00136 *>          ALPHA is DOUBLE PRECISION array, dimension (NMAX)
00137 *> \endverbatim
00138 *>
00139 *> \param[out] BETA
00140 *> \verbatim
00141 *>          BETA is DOUBLE PRECISION array, dimension (NMAX)
00142 *> \endverbatim
00143 *>
00144 *> \param[out] R
00145 *> \verbatim
00146 *>          R is COMPLEX*16 array, dimension (NMAX*NMAX)
00147 *> \endverbatim
00148 *>
00149 *> \param[out] IWORK
00150 *> \verbatim
00151 *>          IWORK is INTEGER array, dimension (NMAX)
00152 *> \endverbatim
00153 *>
00154 *> \param[out] WORK
00155 *> \verbatim
00156 *>          WORK is COMPLEX*16 array, dimension (NMAX*NMAX)
00157 *> \endverbatim
00158 *>
00159 *> \param[out] RWORK
00160 *> \verbatim
00161 *>          RWORK is DOUBLE PRECISION array, dimension (NMAX)
00162 *> \endverbatim
00163 *>
00164 *> \param[in] NIN
00165 *> \verbatim
00166 *>          NIN is INTEGER
00167 *>          The unit number for input.
00168 *> \endverbatim
00169 *>
00170 *> \param[in] NOUT
00171 *> \verbatim
00172 *>          NOUT is INTEGER
00173 *>          The unit number for output.
00174 *> \endverbatim
00175 *>
00176 *> \param[out] INFO
00177 *> \verbatim
00178 *>          INFO is INTEGER
00179 *>          = 0 :  successful exit
00180 *>          > 0 :  If ZLATMS returns an error code, the absolute value
00181 *>                 of it is returned.
00182 *> \endverbatim
00183 *
00184 *  Authors:
00185 *  ========
00186 *
00187 *> \author Univ. of Tennessee 
00188 *> \author Univ. of California Berkeley 
00189 *> \author Univ. of Colorado Denver 
00190 *> \author NAG Ltd. 
00191 *
00192 *> \date November 2011
00193 *
00194 *> \ingroup complex16_eig
00195 *
00196 *  =====================================================================
00197       SUBROUTINE ZCKGSV( NM, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
00198      $                   NMAX, A, AF, B, BF, U, V, Q, ALPHA, BETA, R,
00199      $                   IWORK, WORK, RWORK, NIN, NOUT, INFO )
00200 *
00201 *  -- LAPACK test routine (version 3.4.0) --
00202 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
00203 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
00204 *     November 2011
00205 *
00206 *     .. Scalar Arguments ..
00207       INTEGER            INFO, NIN, NM, NMATS, NMAX, NOUT
00208       DOUBLE PRECISION   THRESH
00209 *     ..
00210 *     .. Array Arguments ..
00211       INTEGER            ISEED( 4 ), IWORK( * ), MVAL( * ), NVAL( * ),
00212      $                   PVAL( * )
00213       DOUBLE PRECISION   ALPHA( * ), BETA( * ), RWORK( * )
00214       COMPLEX*16         A( * ), AF( * ), B( * ), BF( * ), Q( * ),
00215      $                   R( * ), U( * ), V( * ), WORK( * )
00216 *     ..
00217 *
00218 *  =====================================================================
00219 *
00220 *     .. Parameters ..
00221       INTEGER            NTESTS
00222       PARAMETER          ( NTESTS = 7 )
00223       INTEGER            NTYPES
00224       PARAMETER          ( NTYPES = 8 )
00225 *     ..
00226 *     .. Local Scalars ..
00227       LOGICAL            FIRSTT
00228       CHARACTER          DISTA, DISTB, TYPE
00229       CHARACTER*3        PATH
00230       INTEGER            I, IINFO, IM, IMAT, KLA, KLB, KUA, KUB, LDA,
00231      $                   LDB, LDQ, LDR, LDU, LDV, LWORK, M, MODEA,
00232      $                   MODEB, N, NFAIL, NRUN, NT, P
00233       DOUBLE PRECISION   ANORM, BNORM, CNDNMA, CNDNMB
00234 *     ..
00235 *     .. Local Arrays ..
00236       LOGICAL            DOTYPE( NTYPES )
00237       DOUBLE PRECISION   RESULT( NTESTS )
00238 *     ..
00239 *     .. External Subroutines ..
00240       EXTERNAL           ALAHDG, ALAREQ, ALASUM, DLATB9, ZGSVTS, ZLATMS
00241 *     ..
00242 *     .. Intrinsic Functions ..
00243       INTRINSIC          ABS
00244 *     ..
00245 *     .. Executable Statements ..
00246 *
00247 *     Initialize constants and the random number seed.
00248 *
00249       PATH( 1: 3 ) = 'GSV'
00250       INFO = 0
00251       NRUN = 0
00252       NFAIL = 0
00253       FIRSTT = .TRUE.
00254       CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT )
00255       LDA = NMAX
00256       LDB = NMAX
00257       LDU = NMAX
00258       LDV = NMAX
00259       LDQ = NMAX
00260       LDR = NMAX
00261       LWORK = NMAX*NMAX
00262 *
00263 *     Do for each value of M in MVAL.
00264 *
00265       DO 30 IM = 1, NM
00266          M = MVAL( IM )
00267          P = PVAL( IM )
00268          N = NVAL( IM )
00269 *
00270          DO 20 IMAT = 1, NTYPES
00271 *
00272 *           Do the tests only if DOTYPE( IMAT ) is true.
00273 *
00274             IF( .NOT.DOTYPE( IMAT ) )
00275      $         GO TO 20
00276 *
00277 *           Set up parameters with DLATB9 and generate test
00278 *           matrices A and B with ZLATMS.
00279 *
00280             CALL DLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB,
00281      $                   ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
00282      $                   DISTA, DISTB )
00283 *
00284 *           Generate M by N matrix A
00285 *
00286             CALL ZLATMS( M, N, DISTA, ISEED, TYPE, RWORK, MODEA, CNDNMA,
00287      $                   ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
00288      $                   IINFO )
00289             IF( IINFO.NE.0 ) THEN
00290                WRITE( NOUT, FMT = 9999 )IINFO
00291                INFO = ABS( IINFO )
00292                GO TO 20
00293             END IF
00294 *
00295 *           Generate P by N matrix B
00296 *
00297             CALL ZLATMS( P, N, DISTB, ISEED, TYPE, RWORK, MODEB, CNDNMB,
00298      $                   BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
00299      $                   IINFO )
00300             IF( IINFO.NE.0 ) THEN
00301                WRITE( NOUT, FMT = 9999 )IINFO
00302                INFO = ABS( IINFO )
00303                GO TO 20
00304             END IF
00305 *
00306             NT = 6
00307 *
00308             CALL ZGSVTS( M, P, N, A, AF, LDA, B, BF, LDB, U, LDU, V,
00309      $                   LDV, Q, LDQ, ALPHA, BETA, R, LDR, IWORK, WORK,
00310      $                   LWORK, RWORK, RESULT )
00311 *
00312 *           Print information about the tests that did not
00313 *           pass the threshold.
00314 *
00315             DO 10 I = 1, NT
00316                IF( RESULT( I ).GE.THRESH ) THEN
00317                   IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
00318                      FIRSTT = .FALSE.
00319                      CALL ALAHDG( NOUT, PATH )
00320                   END IF
00321                   WRITE( NOUT, FMT = 9998 )M, P, N, IMAT, I,
00322      $               RESULT( I )
00323                   NFAIL = NFAIL + 1
00324                END IF
00325    10       CONTINUE
00326             NRUN = NRUN + NT
00327 *
00328    20    CONTINUE
00329    30 CONTINUE
00330 *
00331 *     Print a summary of the results.
00332 *
00333       CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 )
00334 *
00335  9999 FORMAT( ' ZLATMS in ZCKGSV   INFO = ', I5 )
00336  9998 FORMAT( ' M=', I4, ' P=', I4, ', N=', I4, ', type ', I2,
00337      $      ', test ', I2, ', ratio=', G13.6 )
00338       RETURN
00339 *
00340 *     End of ZCKGSV
00341 *
00342       END
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