LAPACK: TESTING/EIG/zckglm.f Source File

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00001       SUBROUTINE ZCKGLM( NN, NVAL, MVAL, PVAL, NMATS, ISEED, THRESH,
00002      $                   NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
00003      $                   INFO )
00004 *
00005 *  -- LAPACK test routine (version 3.1) --
00006 *     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
00007 *     November 2006
00008 *
00009 *     .. Scalar Arguments ..
00010       INTEGER            INFO, NIN, NMATS, NMAX, NN, NOUT
00011       DOUBLE PRECISION   THRESH
00012 *     ..
00013 *     .. Array Arguments ..
00014       INTEGER            ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
00015       DOUBLE PRECISION   RWORK( * )
00016       COMPLEX*16         A( * ), AF( * ), B( * ), BF( * ), WORK( * ),
00017      $                   X( * )
00018 *     ..
00019 *
00020 *  Purpose
00021 *  =======
00022 *
00023 *  ZCKGLM tests ZGGGLM - subroutine for solving generalized linear
00024 *                        model problem.
00025 *
00026 *  Arguments
00027 *  =========
00028 *
00029 *  NN      (input) INTEGER
00030 *          The number of values of N, M and P contained in the vectors
00031 *          NVAL, MVAL and PVAL.
00032 *
00033 *  NVAL    (input) INTEGER array, dimension (NN)
00034 *          The values of the matrix row dimension N.
00035 *
00036 *  MVAL    (input) INTEGER array, dimension (NN)
00037 *          The values of the matrix column dimension M.
00038 *
00039 *  PVAL    (input) INTEGER array, dimension (NN)
00040 *          The values of the matrix column dimension P.
00041 *
00042 *  NMATS   (input) INTEGER
00043 *          The number of matrix types to be tested for each combination
00044 *          of matrix dimensions.  If NMATS >= NTYPES (the maximum
00045 *          number of matrix types), then all the different types are
00046 *          generated for testing.  If NMATS < NTYPES, another input line
00047 *          is read to get the numbers of the matrix types to be used.
00048 *
00049 *  ISEED   (input/output) INTEGER array, dimension (4)
00050 *          On entry, the seed of the random number generator.  The array
00051 *          elements should be between 0 and 4095, otherwise they will be
00052 *          reduced mod 4096, and ISEED(4) must be odd.
00053 *          On exit, the next seed in the random number sequence after
00054 *          all the test matrices have been generated.
00055 *
00056 *  THRESH  (input) DOUBLE PRECISION
00057 *          The threshold value for the test ratios.  A result is
00058 *          included in the output file if RESID >= THRESH.  To have
00059 *          every test ratio printed, use THRESH = 0.
00060 *
00061 *  NMAX    (input) INTEGER
00062 *          The maximum value permitted for M or N, used in dimensioning
00063 *          the work arrays.
00064 *
00065 *  A       (workspace) COMPLEX*16 array, dimension (NMAX*NMAX)
00066 *
00067 *  AF      (workspace) COMPLEX*16 array, dimension (NMAX*NMAX)
00068 *
00069 *  B       (workspace) COMPLEX*16 array, dimension (NMAX*NMAX)
00070 *
00071 *  BF      (workspace) COMPLEX*16 array, dimension (NMAX*NMAX)
00072 *
00073 *  X       (workspace) COMPLEX*16 array, dimension (4*NMAX)
00074 *
00075 *  RWORK   (workspace) DOUBLE PRECISION array, dimension (NMAX)
00076 *
00077 *  WORK    (workspace) COMPLEX*16 array, dimension (NMAX*NMAX)
00078 *
00079 *  NIN     (input) INTEGER
00080 *          The unit number for input.
00081 *
00082 *  NOUT    (input) INTEGER
00083 *          The unit number for output.
00084 *
00085 *  INFO    (output) INTEGER
00086 *          = 0 :  successful exit
00087 *          > 0 :  If ZLATMS returns an error code, the absolute value
00088 *                 of it is returned.
00089 *
00090 *  =====================================================================
00091 *
00092 *     .. Parameters ..
00093       INTEGER            NTYPES
00094       PARAMETER          ( NTYPES = 8 )
00095 *     ..
00096 *     .. Local Scalars ..
00097       LOGICAL            FIRSTT
00098       CHARACTER          DISTA, DISTB, TYPE
00099       CHARACTER*3        PATH
00100       INTEGER            I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
00101      $                   LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN, P
00102       DOUBLE PRECISION   ANORM, BNORM, CNDNMA, CNDNMB, RESID
00103 *     ..
00104 *     .. Local Arrays ..
00105       LOGICAL            DOTYPE( NTYPES )
00106 *     ..
00107 *     .. External Functions ..
00108       COMPLEX*16         ZLARND
00109       EXTERNAL           ZLARND
00110 *     ..
00111 *     .. External Subroutines ..
00112       EXTERNAL           ALAHDG, ALAREQ, ALASUM, DLATB9, ZGLMTS, ZLATMS
00113 *     ..
00114 *     .. Intrinsic Functions ..
00115       INTRINSIC          ABS
00116 *     ..
00117 *     .. Executable Statements ..
00118 *
00119 *     Initialize constants.
00120 *
00121       PATH( 1: 3 ) = 'GLM'
00122       INFO = 0
00123       NRUN = 0
00124       NFAIL = 0
00125       FIRSTT = .TRUE.
00126       CALL ALAREQ( PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT )
00127       LDA = NMAX
00128       LDB = NMAX
00129       LWORK = NMAX*NMAX
00130 *
00131 *     Check for valid input values.
00132 *
00133       DO 10 IK = 1, NN
00134          M = MVAL( IK )
00135          P = PVAL( IK )
00136          N = NVAL( IK )
00137          IF( M.GT.N .OR. N.GT.M+P ) THEN
00138             IF( FIRSTT ) THEN
00139                WRITE( NOUT, FMT = * )
00140                FIRSTT = .FALSE.
00141             END IF
00142             WRITE( NOUT, FMT = 9997 )M, P, N
00143          END IF
00144    10 CONTINUE
00145       FIRSTT = .TRUE.
00146 *
00147 *     Do for each value of M in MVAL.
00148 *
00149       DO 40 IK = 1, NN
00150          M = MVAL( IK )
00151          P = PVAL( IK )
00152          N = NVAL( IK )
00153          IF( M.GT.N .OR. N.GT.M+P )
00154      $      GO TO 40
00155 *
00156          DO 30 IMAT = 1, NTYPES
00157 *
00158 *           Do the tests only if DOTYPE( IMAT ) is true.
00159 *
00160             IF( .NOT.DOTYPE( IMAT ) )
00161      $         GO TO 30
00162 *
00163 *           Set up parameters with DLATB9 and generate test
00164 *           matrices A and B with ZLATMS.
00165 *
00166             CALL DLATB9( PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB,
00167      $                   ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
00168      $                   DISTA, DISTB )
00169 *
00170             CALL ZLATMS( N, M, DISTA, ISEED, TYPE, RWORK, MODEA, CNDNMA,
00171      $                   ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
00172      $                   IINFO )
00173             IF( IINFO.NE.0 ) THEN
00174                WRITE( NOUT, FMT = 9999 )IINFO
00175                INFO = ABS( IINFO )
00176                GO TO 30
00177             END IF
00178 *
00179             CALL ZLATMS( N, P, DISTB, ISEED, TYPE, RWORK, MODEB, CNDNMB,
00180      $                   BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
00181      $                   IINFO )
00182             IF( IINFO.NE.0 ) THEN
00183                WRITE( NOUT, FMT = 9999 )IINFO
00184                INFO = ABS( IINFO )
00185                GO TO 30
00186             END IF
00187 *
00188 *           Generate random left hand side vector of GLM
00189 *
00190             DO 20 I = 1, N
00191                X( I ) = ZLARND( 2, ISEED )
00192    20       CONTINUE
00193 *
00194             CALL ZGLMTS( N, M, P, A, AF, LDA, B, BF, LDB, X,
00195      $                   X( NMAX+1 ), X( 2*NMAX+1 ), X( 3*NMAX+1 ),
00196      $                   WORK, LWORK, RWORK, RESID )
00197 *
00198 *           Print information about the tests that did not
00199 *           pass the threshold.
00200 *
00201             IF( RESID.GE.THRESH ) THEN
00202                IF( NFAIL.EQ.0 .AND. FIRSTT ) THEN
00203                   FIRSTT = .FALSE.
00204                   CALL ALAHDG( NOUT, PATH )
00205                END IF
00206                WRITE( NOUT, FMT = 9998 )N, M, P, IMAT, 1, RESID
00207                NFAIL = NFAIL + 1
00208             END IF
00209             NRUN = NRUN + 1
00210 *
00211    30    CONTINUE
00212    40 CONTINUE
00213 *
00214 *     Print a summary of the results.
00215 *
00216       CALL ALASUM( PATH, NOUT, NFAIL, NRUN, 0 )
00217 *
00218  9999 FORMAT( ' ZLATMS in ZCKGLM INFO = ', I5 )
00219  9998 FORMAT( ' N=', I4, ' M=', I4, ', P=', I4, ', type ', I2,
00220      $      ', test ', I2, ', ratio=', G13.6 )
00221  9997 FORMAT( ' *** Invalid input  for GLM:  M = ', I6, ', P = ', I6,
00222      $      ', N = ', I6, ';', / '     must satisfy M <= N <= M+P  ',
00223      $      '(this set of values will be skipped)' )
00224       RETURN
00225 *
00226 *     End of ZCKGLM
00227 *
00228       END