zchkgb.f

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      SUBROUTINE ZCHKGB( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NNS,
     $                   NSVAL, THRESH, TSTERR, A, LA, AFAC, LAFAC, B,
     $                   X, XACT, WORK, RWORK, IWORK, NOUT )
*
*  -- LAPACK test routine (version 3.1) --
*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
*     November 2006
*
*     .. Scalar Arguments ..
      LOGICAL            TSTERR
      INTEGER            LA, LAFAC, NM, NN, NNB, NNS, NOUT
      DOUBLE PRECISION   THRESH
*     ..
*     .. Array Arguments ..
      LOGICAL            DOTYPE( * )
      INTEGER            IWORK( * ), MVAL( * ), NBVAL( * ), NSVAL( * ),
     $                   NVAL( * )
      DOUBLE PRECISION   RWORK( * )
      COMPLEX*16         A( * ), AFAC( * ), B( * ), WORK( * ), X( * ),
     $                   XACT( * )
*     ..
*
*  Purpose
*  =======
*
*  ZCHKGB tests ZGBTRF, -TRS, -RFS, and -CON
*
*  Arguments
*  =========
*
*  DOTYPE  (input) LOGICAL array, dimension (NTYPES)
*          The matrix types to be used for testing.  Matrices of type j
*          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
*          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
*
*  NM      (input) INTEGER
*          The number of values of M contained in the vector MVAL.
*
*  MVAL    (input) INTEGER array, dimension (NM)
*          The values of the matrix row dimension M.
*
*  NN      (input) INTEGER
*          The number of values of N contained in the vector NVAL.
*
*  NVAL    (input) INTEGER array, dimension (NN)
*          The values of the matrix column dimension N.
*
*  NNB     (input) INTEGER
*          The number of values of NB contained in the vector NBVAL.
*
*  NBVAL   (input) INTEGER array, dimension (NBVAL)
*          The values of the blocksize NB.
*
*  NNS     (input) INTEGER
*          The number of values of NRHS contained in the vector NSVAL.
*
*  NSVAL   (input) INTEGER array, dimension (NNS)
*          The values of the number of right hand sides NRHS.
*
*  THRESH  (input) DOUBLE PRECISION
*          The threshold value for the test ratios.  A result is
*          included in the output file if RESULT >= THRESH.  To have
*          every test ratio printed, use THRESH = 0.
*
*  TSTERR  (input) LOGICAL
*          Flag that indicates whether error exits are to be tested.
*
*  A       (workspace) COMPLEX*16 array, dimension (LA)
*
*  LA      (input) INTEGER
*          The length of the array A.  LA >= (KLMAX+KUMAX+1)*NMAX
*          where KLMAX is the largest entry in the local array KLVAL,
*                KUMAX is the largest entry in the local array KUVAL and
*                NMAX is the largest entry in the input array NVAL.
*
*  AFAC    (workspace) COMPLEX*16 array, dimension (LAFAC)
*
*  LAFAC   (input) INTEGER
*          The length of the array AFAC. LAFAC >= (2*KLMAX+KUMAX+1)*NMAX
*          where KLMAX is the largest entry in the local array KLVAL,
*                KUMAX is the largest entry in the local array KUVAL and
*                NMAX is the largest entry in the input array NVAL.
*
*  B       (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX)
*
*  X       (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX)
*
*  XACT    (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX)
*
*  WORK    (workspace) COMPLEX*16 array, dimension
*                      (NMAX*max(3,NSMAX,NMAX))
*
*  RWORK   (workspace) DOUBLE PRECISION array, dimension
*                      (max(NMAX,2*NSMAX))
*
*  IWORK   (workspace) INTEGER array, dimension (NMAX)
*
*  NOUT    (input) INTEGER
*          The unit number for output.
*
*  =====================================================================
*
*     .. Parameters ..
      DOUBLE PRECISION   ONE, ZERO
      PARAMETER          ( ONE = 1.0D+0, ZERO = 0.0D+0 )
      INTEGER            NTYPES, NTESTS
      PARAMETER          ( NTYPES = 8, NTESTS = 7 )
      INTEGER            NBW, NTRAN
      PARAMETER          ( NBW = 4, NTRAN = 3 )
*     ..
*     .. Local Scalars ..
      LOGICAL            TRFCON, ZEROT
      CHARACTER          DIST, NORM, TRANS, TYPE, XTYPE
      CHARACTER*3        PATH
      INTEGER            I, I1, I2, IKL, IKU, IM, IMAT, IN, INB, INFO,
     $                   IOFF, IRHS, ITRAN, IZERO, J, K, KL, KOFF, KU,
     $                   LDA, LDAFAC, LDB, M, MODE, N, NB, NERRS, NFAIL,
     $                   NIMAT, NKL, NKU, NRHS, NRUN
      DOUBLE PRECISION   AINVNM, ANORM, ANORMI, ANORMO, CNDNUM, RCOND,
     $                   RCONDC, RCONDI, RCONDO
*     ..
*     .. Local Arrays ..
      CHARACTER          TRANSS( NTRAN )
      INTEGER            ISEED( 4 ), ISEEDY( 4 ), KLVAL( NBW ),
     $                   KUVAL( NBW )
      DOUBLE PRECISION   RESULT( NTESTS )
*     ..
*     .. External Functions ..
      DOUBLE PRECISION   DGET06, ZLANGB, ZLANGE
      EXTERNAL           DGET06, ZLANGB, ZLANGE
*     ..
*     .. External Subroutines ..
      EXTERNAL           ALAERH, ALAHD, ALASUM, XLAENV, ZCOPY, ZERRGE,
     $                   ZGBCON, ZGBRFS, ZGBT01, ZGBT02, ZGBT05, ZGBTRF,
     $                   ZGBTRS, ZGET04, ZLACPY, ZLARHS, ZLASET, ZLATB4,
     $                   ZLATMS
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          DCMPLX, MAX, MIN
*     ..
*     .. Scalars in Common ..
      LOGICAL            LERR, OK
      CHARACTER*6        SRNAMT
      INTEGER            INFOT, NUNIT
*     ..
*     .. Common blocks ..
      COMMON             / INFOC / INFOT, NUNIT, OK, LERR
      COMMON             / SRNAMC / SRNAMT
*     ..
*     .. Data statements ..
      DATA               ISEEDY / 1988, 1989, 1990, 1991 / ,
     $                   TRANSS / 'N', 'T', 'C' /
*     ..
*     .. Executable Statements ..
*
*     Initialize constants and the random number seed.
*
      PATH( 1: 1 ) = 'Zomplex precision'
      PATH( 2: 3 ) = 'GB'
      NRUN = 0
      NFAIL = 0
      NERRS = 0
      DO 10 I = 1, 4
         ISEED( I ) = ISEEDY( I )
   10 CONTINUE
*
*     Test the error exits
*
      IF( TSTERR )
     $   CALL ZERRGE( PATH, NOUT )
      INFOT = 0
*
*     Initialize the first value for the lower and upper bandwidths.
*
      KLVAL( 1 ) = 0
      KUVAL( 1 ) = 0
*
*     Do for each value of M in MVAL
*
      DO 160 IM = 1, NM
         M = MVAL( IM )
*
*        Set values to use for the lower bandwidth.
*
         KLVAL( 2 ) = M + ( M+1 ) / 4
*
*        KLVAL( 2 ) = MAX( M-1, 0 )
*
         KLVAL( 3 ) = ( 3*M-1 ) / 4
         KLVAL( 4 ) = ( M+1 ) / 4
*
*        Do for each value of N in NVAL
*
         DO 150 IN = 1, NN
            N = NVAL( IN )
            XTYPE = 'N'
*
*           Set values to use for the upper bandwidth.
*
            KUVAL( 2 ) = N + ( N+1 ) / 4
*
*           KUVAL( 2 ) = MAX( N-1, 0 )
*
            KUVAL( 3 ) = ( 3*N-1 ) / 4
            KUVAL( 4 ) = ( N+1 ) / 4
*
*           Set limits on the number of loop iterations.
*
            NKL = MIN( M+1, 4 )
            IF( N.EQ.0 )
     $         NKL = 2
            NKU = MIN( N+1, 4 )
            IF( M.EQ.0 )
     $         NKU = 2
            NIMAT = NTYPES
            IF( M.LE.0 .OR. N.LE.0 )
     $         NIMAT = 1
*
            DO 140 IKL = 1, NKL
*
*              Do for KL = 0, (5*M+1)/4, (3M-1)/4, and (M+1)/4. This
*              order makes it easier to skip redundant values for small
*              values of M.
*
               KL = KLVAL( IKL )
               DO 130 IKU = 1, NKU
*
*                 Do for KU = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This
*                 order makes it easier to skip redundant values for
*                 small values of N.
*
                  KU = KUVAL( IKU )
*
*                 Check that A and AFAC are big enough to generate this
*                 matrix.
*
                  LDA = KL + KU + 1
                  LDAFAC = 2*KL + KU + 1
                  IF( ( LDA*N ).GT.LA .OR. ( LDAFAC*N ).GT.LAFAC ) THEN
                     IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
     $                  CALL ALAHD( NOUT, PATH )
                     IF( N*( KL+KU+1 ).GT.LA ) THEN
                        WRITE( NOUT, FMT = 9999 )LA, M, N, KL, KU,
     $                     N*( KL+KU+1 )
                        NERRS = NERRS + 1
                     END IF
                     IF( N*( 2*KL+KU+1 ).GT.LAFAC ) THEN
                        WRITE( NOUT, FMT = 9998 )LAFAC, M, N, KL, KU,
     $                     N*( 2*KL+KU+1 )
                        NERRS = NERRS + 1
                     END IF
                     GO TO 130
                  END IF
*
                  DO 120 IMAT = 1, NIMAT
*
*                    Do the tests only if DOTYPE( IMAT ) is true.
*
                     IF( .NOT.DOTYPE( IMAT ) )
     $                  GO TO 120
*
*                    Skip types 2, 3, or 4 if the matrix size is too
*                    small.
*
                     ZEROT = IMAT.GE.2 .AND. IMAT.LE.4
                     IF( ZEROT .AND. N.LT.IMAT-1 )
     $                  GO TO 120
*
                     IF( .NOT.ZEROT .OR. .NOT.DOTYPE( 1 ) ) THEN
*
*                       Set up parameters with ZLATB4 and generate a
*                       test matrix with ZLATMS.
*
                        CALL ZLATB4( PATH, IMAT, M, N, TYPE, KL, KU,
     $                               ANORM, MODE, CNDNUM, DIST )
*
                        KOFF = MAX( 1, KU+2-N )
                        DO 20 I = 1, KOFF - 1
                           A( I ) = ZERO
   20                   CONTINUE
                        SRNAMT = 'ZLATMS'
                        CALL ZLATMS( M, N, DIST, ISEED, TYPE, RWORK,
     $                               MODE, CNDNUM, ANORM, KL, KU, 'Z',
     $                               A( KOFF ), LDA, WORK, INFO )
*
*                       Check the error code from ZLATMS.
*
                        IF( INFO.NE.0 ) THEN
                           CALL ALAERH( PATH, 'ZLATMS', INFO, 0, ' ', M,
     $                                  N, KL, KU, -1, IMAT, NFAIL,
     $                                  NERRS, NOUT )
                           GO TO 120
                        END IF
                     ELSE IF( IZERO.GT.0 ) THEN
*
*                       Use the same matrix for types 3 and 4 as for
*                       type 2 by copying back the zeroed out column.
*
                        CALL ZCOPY( I2-I1+1, B, 1, A( IOFF+I1 ), 1 )
                     END IF
*
*                    For types 2, 3, and 4, zero one or more columns of