zdrvsg2stg.f

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*> \brief \b ZDRVSG2STG
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at
*            http://www.netlib.org/lapack/explore-html/
*
*  Definition:
*  ===========
*
*       SUBROUTINE ZDRVSG2STG( NSIZES, NN, NTYPES, DOTYPE, ISEED, THRESH,
*                              NOUNIT, A, LDA, B, LDB, D, D2, Z, LDZ, AB,
*                              BB, AP, BP, WORK, NWORK, RWORK, LRWORK,
*                              IWORK, LIWORK, RESULT, INFO )
*
*       IMPLICIT NONE
*
*       .. Scalar Arguments ..
*       INTEGER            INFO, LDA, LDB, LDZ, LIWORK, LRWORK, NOUNIT,
*      $                   NSIZES, NTYPES, NWORK
*       DOUBLE PRECISION   THRESH
*       ..
*       .. Array Arguments ..
*       LOGICAL            DOTYPE( * )
*       INTEGER            ISEED( 4 ), IWORK( * ), NN( * )
*       DOUBLE PRECISION   D( * ), RESULT( * ), RWORK( * )
*       COMPLEX*16         A( LDA, * ), AB( LDA, * ), AP( * ),
*      $                   B( LDB, * ), BB( LDB, * ), BP( * ), WORK( * ),
*      $                   Z( LDZ, * )
*       ..
*
*
*> \par Purpose:
*  =============
*>
*> \verbatim
*>
*>      ZDRVSG2STG checks the complex Hermitian generalized eigenproblem
*>      drivers.
*>
*>              ZHEGV computes all eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite generalized
*>              eigenproblem.
*>
*>              ZHEGVD computes all eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite generalized
*>              eigenproblem using a divide and conquer algorithm.
*>
*>              ZHEGVX computes selected eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite generalized
*>              eigenproblem.
*>
*>              ZHPGV computes all eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite generalized
*>              eigenproblem in packed storage.
*>
*>              ZHPGVD computes all eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite generalized
*>              eigenproblem in packed storage using a divide and
*>              conquer algorithm.
*>
*>              ZHPGVX computes selected eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite generalized
*>              eigenproblem in packed storage.
*>
*>              ZHBGV computes all eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite banded
*>              generalized eigenproblem.
*>
*>              ZHBGVD computes all eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite banded
*>              generalized eigenproblem using a divide and conquer
*>              algorithm.
*>
*>              ZHBGVX computes selected eigenvalues and, optionally,
*>              eigenvectors of a complex Hermitian-definite banded
*>              generalized eigenproblem.
*>
*>      When ZDRVSG2STG is called, a number of matrix "sizes" ("n's") and a
*>      number of matrix "types" are specified.  For each size ("n")
*>      and each type of matrix, one matrix A of the given type will be
*>      generated; a random well-conditioned matrix B is also generated
*>      and the pair (A,B) is used to test the drivers.
*>
*>      For each pair (A,B), the following tests are performed:
*>
*>      (1) ZHEGV with ITYPE = 1 and UPLO ='U':
*>
*>              | A Z - B Z D | / ( |A| |Z| n ulp )
*>              | D - D2 | / ( |D| ulp )   where D is computed by
*>                                         ZHEGV and  D2 is computed by
*>                                         ZHEGV_2STAGE. This test is
*>                                         only performed for DSYGV
*>
*>      (2) as (1) but calling ZHPGV
*>      (3) as (1) but calling ZHBGV
*>      (4) as (1) but with UPLO = 'L'
*>      (5) as (4) but calling ZHPGV
*>      (6) as (4) but calling ZHBGV
*>
*>      (7) ZHEGV with ITYPE = 2 and UPLO ='U':
*>
*>              | A B Z - Z D | / ( |A| |Z| n ulp )
*>
*>      (8) as (7) but calling ZHPGV
*>      (9) as (7) but with UPLO = 'L'
*>      (10) as (9) but calling ZHPGV
*>
*>      (11) ZHEGV with ITYPE = 3 and UPLO ='U':
*>
*>              | B A Z - Z D | / ( |A| |Z| n ulp )
*>
*>      (12) as (11) but calling ZHPGV
*>      (13) as (11) but with UPLO = 'L'
*>      (14) as (13) but calling ZHPGV
*>
*>      ZHEGVD, ZHPGVD and ZHBGVD performed the same 14 tests.
*>
*>      ZHEGVX, ZHPGVX and ZHBGVX performed the above 14 tests with
*>      the parameter RANGE = 'A', 'N' and 'I', respectively.
*>
*>      The "sizes" are specified by an array NN(1:NSIZES); the value of
*>      each element NN(j) specifies one size.
*>      The "types" are specified by a logical array DOTYPE( 1:NTYPES );
*>      if DOTYPE(j) is .TRUE., then matrix type "j" will be generated.
*>      This type is used for the matrix A which has half-bandwidth KA.
*>      B is generated as a well-conditioned positive definite matrix
*>      with half-bandwidth KB (<= KA).
*>      Currently, the list of possible types for A is:
*>
*>      (1)  The zero matrix.
*>      (2)  The identity matrix.
*>
*>      (3)  A diagonal matrix with evenly spaced entries
*>           1, ..., ULP  and random signs.
*>           (ULP = (first number larger than 1) - 1 )
*>      (4)  A diagonal matrix with geometrically spaced entries
*>           1, ..., ULP  and random signs.
*>      (5)  A diagonal matrix with "clustered" entries 1, ULP, ..., ULP
*>           and random signs.
*>
*>      (6)  Same as (4), but multiplied by SQRT( overflow threshold )
*>      (7)  Same as (4), but multiplied by SQRT( underflow threshold )
*>
*>      (8)  A matrix of the form  U* D U, where U is unitary and
*>           D has evenly spaced entries 1, ..., ULP with random signs
*>           on the diagonal.
*>
*>      (9)  A matrix of the form  U* D U, where U is unitary and
*>           D has geometrically spaced entries 1, ..., ULP with random
*>           signs on the diagonal.
*>
*>      (10) A matrix of the form  U* D U, where U is unitary and
*>           D has "clustered" entries 1, ULP,..., ULP with random
*>           signs on the diagonal.
*>
*>      (11) Same as (8), but multiplied by SQRT( overflow threshold )
*>      (12) Same as (8), but multiplied by SQRT( underflow threshold )
*>
*>      (13) Hermitian matrix with random entries chosen from (-1,1).
*>      (14) Same as (13), but multiplied by SQRT( overflow threshold )
*>      (15) Same as (13), but multiplied by SQRT( underflow threshold )
*>
*>      (16) Same as (8), but with KA = 1 and KB = 1
*>      (17) Same as (8), but with KA = 2 and KB = 1
*>      (18) Same as (8), but with KA = 2 and KB = 2
*>      (19) Same as (8), but with KA = 3 and KB = 1
*>      (20) Same as (8), but with KA = 3 and KB = 2
*>      (21) Same as (8), but with KA = 3 and KB = 3
*> \endverbatim
*
*  Arguments:
*  ==========
*
*> \verbatim
*>  NSIZES  INTEGER
*>          The number of sizes of matrices to use.  If it is zero,
*>          ZDRVSG2STG does nothing.  It must be at least zero.
*>          Not modified.
*>
*>  NN      INTEGER array, dimension (NSIZES)
*>          An array containing the sizes to be used for the matrices.
*>          Zero values will be skipped.  The values must be at least
*>          zero.
*>          Not modified.
*>
*>  NTYPES  INTEGER
*>          The number of elements in DOTYPE.   If it is zero, ZDRVSG2STG
*>          does nothing.  It must be at least zero.  If it is MAXTYP+1
*>          and NSIZES is 1, then an additional type, MAXTYP+1 is
*>          defined, which is to use whatever matrix is in A.  This
*>          is only useful if DOTYPE(1:MAXTYP) is .FALSE. and
*>          DOTYPE(MAXTYP+1) is .TRUE. .
*>          Not modified.
*>
*>  DOTYPE  LOGICAL array, dimension (NTYPES)
*>          If DOTYPE(j) is .TRUE., then for each size in NN a
*>          matrix of that size and of type j will be generated.
*>          If NTYPES is smaller than the maximum number of types
*>          defined (PARAMETER MAXTYP), then types NTYPES+1 through
*>          MAXTYP will not be generated.  If NTYPES is larger
*>          than MAXTYP, DOTYPE(MAXTYP+1) through DOTYPE(NTYPES)
*>          will be ignored.
*>          Not modified.
*>
*>  ISEED   INTEGER array, dimension (4)
*>          On entry ISEED specifies the seed of the random number
*>          generator. The array elements should be between 0 and 4095;
*>          if not they will be reduced mod 4096.  Also, ISEED(4) must
*>          be odd.  The random number generator uses a linear
*>          congruential sequence limited to small integers, and so
*>          should produce machine independent random numbers. The
*>          values of ISEED are changed on exit, and can be used in the
*>          next call to ZDRVSG2STG to continue the same random number
*>          sequence.
*>          Modified.
*>
*>  THRESH  DOUBLE PRECISION
*>          A test will count as "failed" if the "error", computed as
*>          described above, exceeds THRESH.  Note that the error
*>          is scaled to be O(1), so THRESH should be a reasonably
*>          small multiple of 1, e.g., 10 or 100.  In particular,
*>          it should not depend on the precision (single vs. double)
*>          or the size of the matrix.  It must be at least zero.
*>          Not modified.
*>
*>  NOUNIT  INTEGER
*>          The FORTRAN unit number for printing out error messages
*>          (e.g., if a routine returns IINFO not equal to 0.)
*>          Not modified.
*>
*>  A       COMPLEX*16 array, dimension (LDA , max(NN))
*>          Used to hold the matrix whose eigenvalues are to be
*>          computed.  On exit, A contains the last matrix actually
*>          used.
*>          Modified.
*>
*>  LDA     INTEGER
*>          The leading dimension of A.  It must be at
*>          least 1 and at least max( NN ).
*>          Not modified.
*>
*>  B       COMPLEX*16 array, dimension (LDB , max(NN))
*>          Used to hold the Hermitian positive definite matrix for
*>          the generailzed problem.
*>          On exit, B contains the last matrix actually
*>          used.
*>          Modified.
*>
*>  LDB     INTEGER
*>          The leading dimension of B.  It must be at
*>          least 1 and at least max( NN ).
*>          Not modified.
*>
*>  D       DOUBLE PRECISION array, dimension (max(NN))
*>          The eigenvalues of A. On exit, the eigenvalues in D
*>          correspond with the matrix in A.
*>          Modified.
*>
*>  Z       COMPLEX*16 array, dimension (LDZ, max(NN))
*>          The matrix of eigenvectors.
*>          Modified.
*>
*>  LDZ     INTEGER
*>          The leading dimension of ZZ.  It must be at least 1 and
*>          at least max( NN ).
*>          Not modified.
*>
*>  AB      COMPLEX*16 array, dimension (LDA, max(NN))
*>          Workspace.
*>          Modified.
*>
*>  BB      COMPLEX*16 array, dimension (LDB, max(NN))
*>          Workspace.
*>          Modified.
*>
*>  AP      COMPLEX*16 array, dimension (max(NN)**2)
*>          Workspace.
*>          Modified.
*>
*>  BP      COMPLEX*16 array, dimension (max(NN)**2)
*>          Workspace.
*>          Modified.
*>
*>  WORK    COMPLEX*16 array, dimension (NWORK)
*>          Workspace.
*>          Modified.
*>
*>  NWORK   INTEGER
*>          The number of entries in WORK.  This must be at least
*>          2*N + N**2  where  N = max( NN(j), 2 ).
*>          Not modified.
*>
*>  RWORK   DOUBLE PRECISION array, dimension (LRWORK)
*>          Workspace.
*>          Modified.
*>
*>  LRWORK  INTEGER
*>          The number of entries in RWORK.  This must be at least
*>          max( 7*N, 1 + 4*N + 2*N*lg(N) + 3*N**2 ) where
*>          N = max( NN(j) ) and lg( N ) = smallest integer k such
*>          that 2**k >= N .
*>          Not modified.
*>
*>  IWORK   INTEGER array, dimension (LIWORK))
*>          Workspace.
*>          Modified.
*>
*>  LIWORK  INTEGER
*>          The number of entries in IWORK.  This must be at least
*>          2 + 5*max( NN(j) ).
*>          Not modified.
*>
*>  RESULT  DOUBLE PRECISION array, dimension (70)
*>          The values computed by the 70 tests described above.
*>          Modified.
*>
*>  INFO    INTEGER
*>          If 0, then everything ran OK.
*>           -1: NSIZES < 0
*>           -2: Some NN(j) < 0
*>           -3: NTYPES < 0
*>           -5: THRESH < 0
*>           -9: LDA < 1 or LDA < NMAX, where NMAX is max( NN(j) ).
*>          -16: LDZ < 1 or LDZ < NMAX.
*>          -21: NWORK too small.
*>          -23: LRWORK too small.
*>          -25: LIWORK too small.
*>          If  ZLATMR, CLATMS, ZHEGV, ZHPGV, ZHBGV, CHEGVD, CHPGVD,
*>              ZHPGVD, ZHEGVX, CHPGVX, ZHBGVX returns an error code,
*>              the absolute value of it is returned.
*>          Modified.
*>
*>-----------------------------------------------------------------------
*>
*>       Some Local Variables and Parameters:
*>       ---- ----- --------- --- ----------
*>       ZERO, ONE       Real 0 and 1.
*>       MAXTYP          The number of types defined.
*>       NTEST           The number of tests that have been run
*>                       on this matrix.
*>       NTESTT          The total number of tests for this call.
*>       NMAX            Largest value in NN.
*>       NMATS           The number of matrices generated so far.
*>       NERRS           The number of tests which have exceeded THRESH
*>                       so far (computed by DLAFTS).
*>       COND, IMODE     Values to be passed to the matrix generators.
*>       ANORM           Norm of A; passed to matrix generators.
*>
*>       OVFL, UNFL      Overflow and underflow thresholds.
*>       ULP, ULPINV     Finest relative precision and its inverse.
*>       RTOVFL, RTUNFL  Square roots of the previous 2 values.
*>               The following four arrays decode JTYPE:
*>       KTYPE(j)        The general type (1-10) for type "j".
*>       KMODE(j)        The MODE value to be passed to the matrix
*>                       generator for type "j".
*>       KMAGN(j)        The order of magnitude ( O(1),
*>                       O(overflow^(1/2) ), O(underflow^(1/2) )
*> \endverbatim
*
*  Authors:
*  ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complex16_eig
*
*  =====================================================================
      SUBROUTINE zdrvsg2stg( NSIZES, NN, NTYPES, DOTYPE, ISEED, THRESH,
     $                       NOUNIT, A, LDA, B, LDB, D, D2, Z, LDZ, AB,
     $                       BB, AP, BP, WORK, NWORK, RWORK, LRWORK,
     $                       IWORK, LIWORK, RESULT, INFO )
*
      IMPLICIT NONE
*
*  -- LAPACK test routine --
*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
*     .. Scalar Arguments ..
      INTEGER            INFO, LDA, LDB, LDZ, LIWORK, LRWORK, NOUNIT,
     $                   NSIZES, NTYPES, NWORK
      DOUBLE PRECISION   THRESH
*     ..
*     .. Array Arguments ..
      LOGICAL            DOTYPE( * )
      INTEGER            ISEED( 4 ), IWORK( * ), NN( * )
      DOUBLE PRECISION   D( * ), D2( * ), RESULT( * ), RWORK( * )
      COMPLEX*16         A( LDA, * ), AB( LDA, * ), AP( * ),
     $                   b( ldb, * ), bb( ldb, * ), bp( * ), work( * ),
     $                   z( ldz, * )
*     ..
*
*  =====================================================================
*
*     .. Parameters ..
      DOUBLE PRECISION   ZERO, ONE, TEN
      PARAMETER          ( ZERO = 0.0d+0, one = 1.0d+0, ten = 10.0d+0 )
      COMPLEX*16         CZERO, CONE
      parameter( czero = ( 0.0d+0, 0.0d+0 ),
     $                   cone = ( 1.0d+0, 0.0d+0 ) )
      INTEGER            MAXTYP
      parameter( maxtyp = 21 )
*     ..
*     .. Local Scalars ..
      LOGICAL            BADNN
      CHARACTER          UPLO
      INTEGER            I, IBTYPE, IBUPLO, IINFO, IJ, IL, IMODE, ITEMP,
     $                   itype, iu, j, jcol, jsize, jtype, ka, ka9, kb,
     $                   kb9, m, mtypes, n, nerrs, nmats, nmax, ntest,
     $                   ntestt
      DOUBLE PRECISION   ABSTOL, ANINV, ANORM, COND, OVFL, RTOVFL,
     $                   RTUNFL, ULP, ULPINV, UNFL, VL, VU, TEMP1, TEMP2
*     ..
*     .. Local Arrays ..
      INTEGER            IDUMMA( 1 ), IOLDSD( 4 ), ISEED2( 4 ),
     $                   KMAGN( MAXTYP ), KMODE( MAXTYP ),
     $                   KTYPE( MAXTYP )
*     ..
*     .. External Functions ..
      LOGICAL            LSAME
      DOUBLE PRECISION   DLAMCH, DLARND
      EXTERNAL           LSAME, DLAMCH, DLARND
*     ..
*     .. External Subroutines ..
      EXTERNAL           dlabad, dlafts, dlasum, xerbla, zhbgv, zhbgvd,
     $                   zhbgvx, zhegv, zhegvd, zhegvx, zhpgv, zhpgvd,
     $                   zhpgvx, zlacpy, zlaset, zlatmr, zlatms, zsgt01,
     $                   zhegv_2stage
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          abs, dble, max, min, sqrt
*     ..
*     .. Data statements ..
      DATA               ktype / 1, 2, 5*4, 5*5, 3*8, 6*9 /
      DATA               kmagn / 2*1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 3, 1,
     $                   2, 3, 6*1 /
      DATA               kmode / 2*0, 4, 3, 1, 4, 4, 4, 3, 1, 4, 4, 0,
     $                   0, 0, 6*4 /
*     ..
*     .. Executable Statements ..
*
*     1)      Check for errors
*
      ntestt = 0
      info = 0
*
      badnn = .false.
      nmax = 0
      DO 10 j = 1, nsizes
         nmax = max( nmax, nn( j ) )
         IF( nn( j ).LT.0 )
     $      badnn = .true.
   10 CONTINUE
*
*     Check for errors
*
      IF( nsizes.LT.0 ) THEN
         info = -1
      ELSE IF( badnn ) THEN
         info = -2
      ELSE IF( ntypes.LT.0 ) THEN
         info = -3
      ELSE IF( lda.LE.1 .OR. lda.LT.nmax ) THEN
         info = -9
      ELSE IF( ldz.LE.1 .OR. ldz.LT.nmax ) THEN
         info = -16
      ELSE IF( 2*max( nmax, 2 )**2.GT.nwork ) THEN
         info = -21
      ELSE IF( 2*max( nmax, 2 )**2.GT.lrwork ) THEN
         info = -23
      ELSE IF( 2*max( nmax, 2 )**2.GT.liwork ) THEN
         info = -25
      END IF
*
      IF( info.NE.0 ) THEN
         CALL xerbla( 'ZDRVSG2STG', -info )
         RETURN
      END IF
*
*     Quick return if possible
*
      IF( nsizes.EQ.0 .OR. ntypes.EQ.0 )
     $   RETURN
*
*     More Important constants
*
      unfl = dlamch( 'Safe minimum' )
      ovfl = dlamch( 'Overflow' )
      CALL dlabad( unfl, ovfl )
      ulp = dlamch( 'Epsilon' )*dlamch( 'Base' )
      ulpinv = one / ulp
      rtunfl = sqrt( unfl )
      rtovfl = sqrt( ovfl )
*
      DO 20 i = 1, 4
         iseed2( i ) = iseed( i )
   20 CONTINUE
*
*     Loop over sizes, types
*
      nerrs = 0
      nmats = 0
*
      DO 650 jsize = 1, nsizes
         n = nn( jsize )
         aninv = one / dble( max( 1, n ) )
*
         IF( nsizes.NE.1 ) THEN
            mtypes = min( maxtyp, ntypes )
         ELSE
            mtypes = min( maxtyp+1, ntypes )
         END IF
*
         ka9 = 0
         kb9 = 0
         DO 640 jtype = 1, mtypes
            IF( .NOT.dotype( jtype ) )
     $         GO TO 640
            nmats = nmats + 1
            ntest = 0
*
            DO 30 j = 1, 4
               ioldsd( j ) = iseed( j )
   30       CONTINUE
*
*           2)      Compute "A"
*
*                   Control parameters:
*
*               KMAGN  KMODE        KTYPE
*           =1  O(1)   clustered 1  zero
*           =2  large  clustered 2  identity
*           =3  small  exponential  (none)
*           =4         arithmetic   diagonal, w/ eigenvalues
*           =5         random log   hermitian, w/ eigenvalues
*           =6         random       (none)
*           =7                      random diagonal
*           =8                      random hermitian
*           =9                      banded, w/ eigenvalues
*
            IF( mtypes.GT.maxtyp )
     $         GO TO 90
*
            itype = ktype( jtype )
            imode = kmode( jtype )
*
*           Compute norm
*
            GO TO ( 40, 50, 60 )kmagn( jtype )
*
   40       CONTINUE
            anorm = one
            GO TO 70
*
   50       CONTINUE
            anorm = ( rtovfl*ulp )*aninv
            GO TO 70
*
   60       CONTINUE
            anorm = rtunfl*n*ulpinv
            GO TO 70
*
   70       CONTINUE
*
            iinfo = 0
            cond = ulpinv
*
*           Special Matrices -- Identity & Jordan block
*
            IF( itype.EQ.1 ) THEN
*
*              Zero
*
               ka = 0
               kb = 0
               CALL zlaset( 'full', LDA, N, CZERO, CZERO, A, LDA )
*
.EQ.            ELSE IF( ITYPE2 ) THEN
*
*              Identity
*
               KA = 0
               KB = 0
               CALL ZLASET( 'full', LDA, N, CZERO, CZERO, A, LDA )
               DO 80 JCOL = 1, N
                  A( JCOL, JCOL ) = ANORM
   80          CONTINUE
*
.EQ.            ELSE IF( ITYPE4 ) THEN
*
*              Diagonal Matrix, [Eigen]values Specified
*
               KA = 0
               KB = 0
               CALL ZLATMS( N, N, 's', ISEED, 'h', RWORK, IMODE, COND,
     $                      ANORM, 0, 0, 'n', A, LDA, WORK, IINFO )
*
.EQ.            ELSE IF( ITYPE5 ) THEN
*
*              Hermitian, eigenvalues specified
*
               KA = MAX( 0, N-1 )
               KB = KA
               CALL ZLATMS( N, N, 's', ISEED, 'h', RWORK, IMODE, COND,
     $                      ANORM, N, N, 'n', A, LDA, WORK, IINFO )
*
.EQ.            ELSE IF( ITYPE7 ) THEN
*
*              Diagonal, random eigenvalues
*
               KA = 0
               KB = 0
               CALL ZLATMR( N, N, 's', ISEED, 'h', WORK, 6, ONE, CONE,
     $                      't', 'n', WORK( N+1 ), 1, ONE,
     $                      WORK( 2*N+1 ), 1, ONE, 'n', IDUMMA, 0, 0,
     $                      ZERO, ANORM, 'no', A, LDA, IWORK, IINFO )
*
.EQ.            ELSE IF( ITYPE8 ) THEN
*
*              Hermitian, random eigenvalues
*
               KA = MAX( 0, N-1 )
               KB = KA
               CALL ZLATMR( N, N, 's', ISEED, 'h', WORK, 6, ONE, CONE,
     $                      't', 'n', WORK( N+1 ), 1, ONE,
     $                      WORK( 2*N+1 ), 1, ONE, 'n', IDUMMA, N, N,
     $                      ZERO, ANORM, 'no', A, LDA, IWORK, IINFO )
*
.EQ.            ELSE IF( ITYPE9 ) THEN
*
*              Hermitian banded, eigenvalues specified
*
*              The following values are used for the half-bandwidths:
*
*                ka = 1   kb = 1
*                ka = 2   kb = 1
*                ka = 2   kb = 2
*                ka = 3   kb = 1
*                ka = 3   kb = 2
*                ka = 3   kb = 3
*
               KB9 = KB9 + 1
.GT.               IF( KB9KA9 ) THEN
                  KA9 = KA9 + 1
                  KB9 = 1
               END IF
               KA = MAX( 0, MIN( N-1, KA9 ) )
               KB = MAX( 0, MIN( N-1, KB9 ) )
               CALL ZLATMS( N, N, 's', ISEED, 'h', RWORK, IMODE, COND,
     $                      ANORM, KA, KA, 'n', A, LDA, WORK, IINFO )
*
            ELSE
*
               IINFO = 1
            END IF
*
.NE.            IF( IINFO0 ) THEN
               WRITE( NOUNIT, FMT = 9999 )'generator', IINFO, N, JTYPE,
     $            IOLDSD
               INFO = ABS( IINFO )
               RETURN
            END IF
*
   90       CONTINUE
*
            ABSTOL = UNFL + UNFL
.LE.            IF( N1 ) THEN
               IL = 1
               IU = N
            ELSE
               IL = 1 + INT( ( N-1 )*DLARND( 1, ISEED2 ) )
               IU = 1 + INT( ( N-1 )*DLARND( 1, ISEED2 ) )
.GT.               IF( ILIU ) THEN
                  ITEMP = IL
                  IL = IU
                  IU = ITEMP
               END IF
            END IF
*
*           3) Call ZHEGV, ZHPGV, ZHBGV, CHEGVD, CHPGVD, CHBGVD,
*              ZHEGVX, ZHPGVX and ZHBGVX, do tests.
*
*           loop over the three generalized problems
*                 IBTYPE = 1: A*x = (lambda)*B*x
*                 IBTYPE = 2: A*B*x = (lambda)*x
*                 IBTYPE = 3: B*A*x = (lambda)*x
*
            DO 630 IBTYPE = 1, 3
*
*              loop over the setting UPLO
*
               DO 620 IBUPLO = 1, 2
.EQ.                  IF( IBUPLO1 )
     $               UPLO = 'u'
.EQ.                  IF( IBUPLO2 )
     $               UPLO = 'l'
*
*                 Generate random well-conditioned positive definite
*                 matrix B, of bandwidth not greater than that of A.
*
                  CALL ZLATMS( N, N, 'u', ISEED, 'p', RWORK, 5, TEN,
     $                         ONE, KB, KB, UPLO, B, LDB, WORK( N+1 ),
     $                         IINFO )
*
*                 Test ZHEGV
*
                  NTEST = NTEST + 1
*
                  CALL ZLACPY( ' ', N, N, A, LDA, Z, LDZ )
                  CALL ZLACPY( UPLO, N, N, B, LDB, BB, LDB )
*
                  CALL ZHEGV( IBTYPE, 'v', UPLO, N, Z, LDZ, BB, LDB, D,
     $                        WORK, NWORK, RWORK, IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )'zhegv(v,' // UPLO //
     $                  ')', IINFO, N, JTYPE, IOLDSD
                     INFO = ABS( IINFO )
.LT.                     IF( IINFO0 ) THEN
                        RETURN
                     ELSE
                        RESULT( NTEST ) = ULPINV
                        GO TO 100
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL ZSGT01( IBTYPE, UPLO, N, N, A, LDA, B, LDB, Z,
     $                         LDZ, D, WORK, RWORK, RESULT( NTEST ) )
*
*                 Test ZHEGV_2STAGE
*
                  NTEST = NTEST + 1
*
                  CALL ZLACPY( ' ', N, N, A, LDA, Z, LDZ )
                  CALL ZLACPY( UPLO, N, N, B, LDB, BB, LDB )
*
                  CALL ZHEGV_2STAGE( IBTYPE, 'n', UPLO, N, Z, LDZ,
     $                               BB, LDB, D2, WORK, NWORK, RWORK, 
     $                               IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )
     $                  'zhegv_2stage(v,' // UPLO //
     $                  ')', IINFO, N, JTYPE, IOLDSD
                     INFO = ABS( IINFO )
.LT.                     IF( IINFO0 ) THEN
                        RETURN
                     ELSE
                        RESULT( NTEST ) = ULPINV
                        GO TO 100
                     END IF
                  END IF
*
*                 Do Test
*
C                  CALL ZSGT01( IBTYPE, UPLO, N, N, A, LDA, B, LDB, Z,
C     $                         LDZ, D, WORK, RWORK, RESULT( NTEST ) )
*           
*                 Do Tests | D1 - D2 | / ( |D1| ulp )
*                 D1 computed using the standard 1-stage reduction as reference
*                 D2 computed using the 2-stage reduction
*           
                  TEMP1 = ZERO
                  TEMP2 = ZERO
                  DO 151 J = 1, N
                     TEMP1 = MAX( TEMP1, ABS( D( J ) ), 
     $                                   ABS( D2( J ) ) )
                     TEMP2 = MAX( TEMP2, ABS( D( J )-D2( J ) ) )
  151             CONTINUE
*           
                  RESULT( NTEST ) = TEMP2 / 
     $                              MAX( UNFL, ULP*MAX( TEMP1, TEMP2 ) )
*
*                 Test ZHEGVD
*
                  NTEST = NTEST + 1
*
                  CALL ZLACPY( ' ', N, N, A, LDA, Z, LDZ )
                  CALL ZLACPY( UPLO, N, N, B, LDB, BB, LDB )
*
                  CALL ZHEGVD( IBTYPE, 'v', UPLO, N, Z, LDZ, BB, LDB, D,
     $                         WORK, NWORK, RWORK, LRWORK, IWORK,
     $                         LIWORK, IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )'zhegvd(v,' // UPLO //
     $                  ')', IINFO, N, JTYPE, IOLDSD
                     INFO = ABS( IINFO )
.LT.                     IF( IINFO0 ) THEN
                        RETURN
                     ELSE
                        RESULT( NTEST ) = ULPINV
                        GO TO 100
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL ZSGT01( IBTYPE, UPLO, N, N, A, LDA, B, LDB, Z,
     $                         LDZ, D, WORK, RWORK, RESULT( NTEST ) )
*
*                 Test ZHEGVX
*
                  NTEST = NTEST + 1
*
                  CALL ZLACPY( ' ', N, N, A, LDA, AB, LDA )
                  CALL ZLACPY( UPLO, N, N, B, LDB, BB, LDB )
*
                  CALL ZHEGVX( IBTYPE, 'v', 'a', UPLO, N, AB, LDA, BB,
     $                         LDB, VL, VU, IL, IU, ABSTOL, M, D, Z,
     $                         LDZ, WORK, NWORK, RWORK, IWORK( N+1 ),
     $                         IWORK, IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )'zhegvx(v,a' // UPLO //
     $                  ')', IINFO, N, JTYPE, IOLDSD
                     INFO = ABS( IINFO )
.LT.                     IF( IINFO0 ) THEN
                        RETURN
                     ELSE
                        RESULT( NTEST ) = ULPINV
                        GO TO 100
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL ZSGT01( IBTYPE, UPLO, N, N, A, LDA, B, LDB, Z,
     $                         LDZ, D, WORK, RWORK, RESULT( NTEST ) )
*
                  NTEST = NTEST + 1
*
                  CALL ZLACPY( ' ', N, N, A, LDA, AB, LDA )
                  CALL ZLACPY( UPLO, N, N, B, LDB, BB, LDB )
*
*                 since we do not know the exact eigenvalues of this
*                 eigenpair, we just set VL and VU as constants.
*                 It is quite possible that there are no eigenvalues
*                 in this interval.
*
                  VL = ZERO
                  VU = ANORM
                  CALL ZHEGVX( IBTYPE, 'v', 'v', UPLO, N, AB, LDA, BB,
     $                         LDB, VL, VU, IL, IU, ABSTOL, M, D, Z,
     $                         LDZ, WORK, NWORK, RWORK, IWORK( N+1 ),
     $                         IWORK, IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )'zhegvx(v,v,' //
     $                  UPLO // ')', IINFO, N, JTYPE, IOLDSD
                     INFO = ABS( IINFO )
.LT.                     IF( IINFO0 ) THEN
                        RETURN
                     ELSE
                        RESULT( NTEST ) = ULPINV
                        GO TO 100
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL ZSGT01( IBTYPE, UPLO, N, M, A, LDA, B, LDB, Z,
     $                         LDZ, D, WORK, RWORK, RESULT( NTEST ) )
*
                  NTEST = NTEST + 1
*
                  CALL ZLACPY( ' ', N, N, A, LDA, AB, LDA )
                  CALL ZLACPY( UPLO, N, N, B, LDB, BB, LDB )
*
                  CALL ZHEGVX( IBTYPE, 'v', 'i', UPLO, N, AB, LDA, BB,
     $                         LDB, VL, VU, IL, IU, ABSTOL, M, D, Z,
     $                         LDZ, WORK, NWORK, RWORK, IWORK( N+1 ),
     $                         IWORK, IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )'zhegvx(v,i,' //
     $                  UPLO // ')', IINFO, N, JTYPE, IOLDSD
                     INFO = ABS( IINFO )
.LT.                     IF( IINFO0 ) THEN
                        RETURN
                     ELSE
                        RESULT( NTEST ) = ULPINV
                        GO TO 100
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL ZSGT01( IBTYPE, UPLO, N, M, A, LDA, B, LDB, Z,
     $                         LDZ, D, WORK, RWORK, RESULT( NTEST ) )
*
  100             CONTINUE
*
*                 Test ZHPGV
*
                  NTEST = NTEST + 1
*
*                 Copy the matrices into packed storage.
*
                  IF( LSAME( UPLO, 'u' ) ) THEN
                     IJ = 1
                     DO 120 J = 1, N
                        DO 110 I = 1, J
                           AP( IJ ) = A( I, J )
                           BP( IJ ) = B( I, J )
                           IJ = IJ + 1
  110                   CONTINUE
  120                CONTINUE
                  ELSE
                     IJ = 1
                     DO 140 J = 1, N
                        DO 130 I = J, N
                           AP( IJ ) = A( I, J )
                           BP( IJ ) = B( I, J )
                           IJ = IJ + 1
  130                   CONTINUE
  140                CONTINUE
                  END IF
*
                  CALL ZHPGV( IBTYPE, 'v', UPLO, N, AP, BP, D, Z, LDZ,
     $                        WORK, RWORK, IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )'zhpgv(v,' // UPLO //
     $                  ')', IINFO, N, JTYPE, IOLDSD
                     INFO = ABS( IINFO )
.LT.                     IF( IINFO0 ) THEN
                        RETURN
                     ELSE
                        RESULT( NTEST ) = ULPINV
                        GO TO 310
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL ZSGT01( IBTYPE, UPLO, N, N, A, LDA, B, LDB, Z,
     $                         LDZ, D, WORK, RWORK, RESULT( NTEST ) )
*
*                 Test ZHPGVD
*
                  NTEST = NTEST + 1
*
*                 Copy the matrices into packed storage.
*
                  IF( LSAME( UPLO, 'u' ) ) THEN
                     IJ = 1
                     DO 160 J = 1, N
                        DO 150 I = 1, J
                           AP( IJ ) = A( I, J )
                           BP( IJ ) = B( I, J )
                           IJ = IJ + 1
  150                   CONTINUE
  160                CONTINUE
                  ELSE
                     IJ = 1
                     DO 180 J = 1, N
                        DO 170 I = J, N
                           AP( IJ ) = A( I, J )
                           BP( IJ ) = B( I, J )
                           IJ = IJ + 1
  170                   CONTINUE
  180                CONTINUE
                  END IF
*
                  CALL ZHPGVD( IBTYPE, 'v', UPLO, N, AP, BP, D, Z, LDZ,
     $                         WORK, NWORK, RWORK, LRWORK, IWORK,
     $                         LIWORK, IINFO )
.NE.                  IF( IINFO0 ) THEN
                     WRITE( NOUNIT, FMT = 9999 )'zhpgvd(v,' // UPLO //
     $                  ')', iinfo, n, jtype, ioldsd
                     info = abs( iinfo )
                     IF( iinfo.LT.0 ) THEN
                        RETURN
                     ELSE
                        result( ntest ) = ulpinv
                        GO TO 310
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL zsgt01( ibtype, uplo, n, n, a, lda, b, ldb, z,
     $                         ldz, d, work, rwork, result( ntest ) )
*
*                 Test ZHPGVX
*
                  ntest = ntest + 1
*
*                 Copy the matrices into packed storage.
*
                  IF( lsame( uplo, 'U' ) ) THEN
                     ij = 1
                     DO 200 j = 1, n
                        DO 190 i = 1, j
                           ap( ij ) = a( i, j )
                           bp( ij ) = b( i, j )
                           ij = ij + 1
  190                   CONTINUE
  200                CONTINUE
                  ELSE
                     ij = 1
                     DO 220 j = 1, n
                        DO 210 i = j, n
                           ap( ij ) = a( i, j )
                           bp( ij ) = b( i, j )
                           ij = ij + 1
  210                   CONTINUE
  220                CONTINUE
                  END IF
*
                  CALL zhpgvx( ibtype, 'V', 'A', uplo, n, ap, bp, vl,
     $                         vu, il, iu, abstol, m, d, z, ldz, work,
     $                         rwork, iwork( n+1 ), iwork, info )
                  IF( iinfo.NE.0 ) THEN
                     WRITE( nounit, fmt = 9999 )'ZHPGVX(V,A' // uplo //
     $                  ')', iinfo, n, jtype, ioldsd
                     info = abs( iinfo )
                     IF( iinfo.LT.0 ) THEN
                        RETURN
                     ELSE
                        result( ntest ) = ulpinv
                        GO TO 310
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL zsgt01( ibtype, uplo, n, n, a, lda, b, ldb, z,
     $                         ldz, d, work, rwork, result( ntest ) )
*
                  ntest = ntest + 1
*
*                 Copy the matrices into packed storage.
*
                  IF( lsame( uplo, 'U' ) ) THEN
                     ij = 1
                     DO 240 j = 1, n
                        DO 230 i = 1, j
                           ap( ij ) = a( i, j )
                           bp( ij ) = b( i, j )
                           ij = ij + 1
  230                   CONTINUE
  240                CONTINUE
                  ELSE
                     ij = 1
                     DO 260 j = 1, n
                        DO 250 i = j, n
                           ap( ij ) = a( i, j )
                           bp( ij ) = b( i, j )
                           ij = ij + 1
  250                   CONTINUE
  260                CONTINUE
                  END IF
*
                  vl = zero
                  vu = anorm
                  CALL zhpgvx( ibtype, 'V', 'V', uplo, n, ap, bp, vl,
     $                         vu, il, iu, abstol, m, d, z, ldz, work,
     $                         rwork, iwork( n+1 ), iwork, info )
                  IF( iinfo.NE.0 ) THEN
                     WRITE( nounit, fmt = 9999 )'ZHPGVX(V,V' // uplo //
     $                  ')', iinfo, n, jtype, ioldsd
                     info = abs( iinfo )
                     IF( iinfo.LT.0 ) THEN
                        RETURN
                     ELSE
                        result( ntest ) = ulpinv
                        GO TO 310
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL zsgt01( ibtype, uplo, n, m, a, lda, b, ldb, z,
     $                         ldz, d, work, rwork, result( ntest ) )
*
                  ntest = ntest + 1
*
*                 Copy the matrices into packed storage.
*
                  IF( lsame( uplo, 'U' ) ) THEN
                     ij = 1
                     DO 280 j = 1, n
                        DO 270 i = 1, j
                           ap( ij ) = a( i, j )
                           bp( ij ) = b( i, j )
                           ij = ij + 1
  270                   CONTINUE
  280                CONTINUE
                  ELSE
                     ij = 1
                     DO 300 j = 1, n
                        DO 290 i = j, n
                           ap( ij ) = a( i, j )
                           bp( ij ) = b( i, j )
                           ij = ij + 1
  290                   CONTINUE
  300                CONTINUE
                  END IF
*
                  CALL zhpgvx( ibtype, 'V', 'I', uplo, n, ap, bp, vl,
     $                         vu, il, iu, abstol, m, d, z, ldz, work,
     $                         rwork, iwork( n+1 ), iwork, info )
                  IF( iinfo.NE.0 ) THEN
                     WRITE( nounit, fmt = 9999 )'ZHPGVX(V,I' // uplo //
     $                  ')', iinfo, n, jtype, ioldsd
                     info = abs( iinfo )
                     IF( iinfo.LT.0 ) THEN
                        RETURN
                     ELSE
                        result( ntest ) = ulpinv
                        GO TO 310
                     END IF
                  END IF
*
*                 Do Test
*
                  CALL zsgt01( ibtype, uplo, n, m, a, lda, b, ldb, z,
     $                         ldz, d, work, rwork, result( ntest ) )
*
  310             CONTINUE
*
                  IF( ibtype.EQ.1 ) THEN
*
*                    TEST ZHBGV
*
                     ntest = ntest + 1
*
*                    Copy the matrices into band storage.
*
                     IF( lsame( uplo, 'U' ) ) THEN
                        DO 340 j = 1, n
                           DO 320 i = max( 1, j-ka ), j
                              ab( ka+1+i-j, j ) = a( i, j )
  320                      CONTINUE
                           DO 330 i = max( 1, j-kb ), j
                              bb( kb+1+i-j, j ) = b( i, j )
  330                      CONTINUE
  340                   CONTINUE
                     ELSE
                        DO 370 j = 1, n
                           DO 350 i = j, min( n, j+ka )
                              ab( 1+i-j, j ) = a( i, j )
  350                      CONTINUE
                           DO 360 i = j, min( n, j+kb )
                              bb( 1+i-j, j ) = b( i, j )
  360                      CONTINUE
  370                   CONTINUE
                     END IF
*
                     CALL zhbgv( 'V', uplo, n, ka, kb, ab, lda, bb, ldb,
     $                           d, z, ldz, work, rwork, iinfo )
                     IF( iinfo.NE.0 ) THEN
                        WRITE( nounit, fmt = 9999 )'ZHBGV(V,' //
     $                     uplo // ')', iinfo, n, jtype, ioldsd
                        info = abs( iinfo )
                        IF( iinfo.LT.0 ) THEN
                           RETURN
                        ELSE
                           result( ntest ) = ulpinv
                           GO TO 620
                        END IF
                     END IF
*
*                    Do Test
*
                     CALL zsgt01( ibtype, uplo, n, n, a, lda, b, ldb, z,
     $                            ldz, d, work, rwork, result( ntest ) )
*
*                    TEST ZHBGVD
*
                     ntest = ntest + 1
*
*                    Copy the matrices into band storage.
*
                     IF( lsame( uplo, 'U' ) ) THEN
                        DO 400 j = 1, n
                           DO 380 i = max( 1, j-ka ), j
                              ab( ka+1+i-j, j ) = a( i, j )
  380                      CONTINUE
                           DO 390 i = max( 1, j-kb ), j
                              bb( kb+1+i-j, j ) = b( i, j )
  390                      CONTINUE
  400                   CONTINUE
                     ELSE
                        DO 430 j = 1, n
                           DO 410 i = j, min( n, j+ka )
                              ab( 1+i-j, j ) = a( i, j )
  410                      CONTINUE
                           DO 420 i = j, min( n, j+kb )
                              bb( 1+i-j, j ) = b( i, j )
  420                      CONTINUE
  430                   CONTINUE
                     END IF
*
                     CALL zhbgvd( 'V', uplo, n, ka, kb, ab, lda, bb,
     $                            ldb, d, z, ldz, work, nwork, rwork,
     $                            lrwork, iwork, liwork, iinfo )
                     IF( iinfo.NE.0 ) THEN
                        WRITE( nounit, fmt = 9999 )'ZHBGVD(V,' //
     $                     uplo // ')', iinfo, n, jtype, ioldsd
                        info = abs( iinfo )
                        IF( iinfo.LT.0 ) THEN
                           RETURN
                        ELSE
                           result( ntest ) = ulpinv
                           GO TO 620
                        END IF
                     END IF
*
*                    Do Test
*
                     CALL zsgt01( ibtype, uplo, n, n, a, lda, b, ldb, z,
     $                            ldz, d, work, rwork, result( ntest ) )
*
*                    Test ZHBGVX
*
                     ntest = ntest + 1
*
*                    Copy the matrices into band storage.
*
                     IF( lsame( uplo, 'U' ) ) THEN
                        DO 460 j = 1, n
                           DO 440 i = max( 1, j-ka ), j
                              ab( ka+1+i-j, j ) = a( i, j )
  440                      CONTINUE
                           DO 450 i = max( 1, j-kb ), j
                              bb( kb+1+i-j, j ) = b( i, j )
  450                      CONTINUE
  460                   CONTINUE
                     ELSE
                        DO 490 j = 1, n
                           DO 470 i = j, min( n, j+ka )
                              ab( 1+i-j, j ) = a( i, j )
  470                      CONTINUE
                           DO 480 i = j, min( n, j+kb )
                              bb( 1+i-j, j ) = b( i, j )
  480                      CONTINUE
  490                   CONTINUE
                     END IF
*
                     CALL zhbgvx( 'V', 'A', uplo, n, ka, kb, ab, lda,
     $                            bb, ldb, bp, max( 1, n ), vl, vu, il,
     $                            iu, abstol, m, d, z, ldz, work, rwork,
     $                            iwork( n+1 ), iwork, iinfo )
                     IF( iinfo.NE.0 ) THEN
                        WRITE( nounit, fmt = 9999 )'ZHBGVX(V,A' //
     $                     uplo // ')', iinfo, n, jtype, ioldsd
                        info = abs( iinfo )
                        IF( iinfo.LT.0 ) THEN
                           RETURN
                        ELSE
                           result( ntest ) = ulpinv
                           GO TO 620
                        END IF
                     END IF
*
*                    Do Test
*
                     CALL zsgt01( ibtype, uplo, n, n, a, lda, b, ldb, z,
     $                            ldz, d, work, rwork, result( ntest ) )
*
                     ntest = ntest + 1
*
*                    Copy the matrices into band storage.
*
                     IF( lsame( uplo, 'U' ) ) THEN
                        DO 520 j = 1, n
                           DO 500 i = max( 1, j-ka ), j
                              ab( ka+1+i-j, j ) = a( i, j )
  500                      CONTINUE
                           DO 510 i = max( 1, j-kb ), j
                              bb( kb+1+i-j, j ) = b( i, j )
  510                      CONTINUE
  520                   CONTINUE
                     ELSE
                        DO 550 j = 1, n
                           DO 530 i = j, min( n, j+ka )
                              ab( 1+i-j, j ) = a( i, j )
  530                      CONTINUE
                           DO 540 i = j, min( n, j+kb )
                              bb( 1+i-j, j ) = b( i, j )
  540                      CONTINUE
  550                   CONTINUE
                     END IF
*
                     vl = zero
                     vu = anorm
                     CALL zhbgvx( 'V', 'V', uplo, n, ka, kb, ab, lda,
     $                            bb, ldb, bp, max( 1, n ), vl, vu, il,
     $                            iu, abstol, m, d, z, ldz, work, rwork,
     $                            iwork( n+1 ), iwork, iinfo )
                     IF( iinfo.NE.0 ) THEN
                        WRITE( nounit, fmt = 9999 )'ZHBGVX(V,V' //
     $                     uplo // ')', iinfo, n, jtype, ioldsd
                        info = abs( iinfo )
                        IF( iinfo.LT.0 ) THEN
                           RETURN
                        ELSE
                           result( ntest ) = ulpinv
                           GO TO 620
                        END IF
                     END IF
*
*                    Do Test
*
                     CALL zsgt01( ibtype, uplo, n, m, a, lda, b, ldb, z,
     $                            ldz, d, work, rwork, result( ntest ) )
*
                     ntest = ntest + 1
*
*                    Copy the matrices into band storage.
*
                     IF( lsame( uplo, 'U' ) ) THEN
                        DO 580 j = 1, n
                           DO 560 i = max( 1, j-ka ), j
                              ab( ka+1+i-j, j ) = a( i, j )
  560                      CONTINUE
                           DO 570 i = max( 1, j-kb ), j
                              bb( kb+1+i-j, j ) = b( i, j )
  570                      CONTINUE
  580                   CONTINUE
                     ELSE
                        DO 610 j = 1, n
                           DO 590 i = j, min( n, j+ka )
                              ab( 1+i-j, j ) = a( i, j )
  590                      CONTINUE
                           DO 600 i = j, min( n, j+kb )
                              bb( 1+i-j, j ) = b( i, j )
  600                      CONTINUE
  610                   CONTINUE
                     END IF
*
                     CALL zhbgvx( 'V', 'I', uplo, n, ka, kb, ab, lda,
     $                            bb, ldb, bp, max( 1, n ), vl, vu, il,
     $                            iu, abstol, m, d, z, ldz, work, rwork,
     $                            iwork( n+1 ), iwork, iinfo )
                     IF( iinfo.NE.0 ) THEN
                        WRITE( nounit, fmt = 9999 )'ZHBGVX(V,I' //
     $                     uplo // ')', iinfo, n, jtype, ioldsd
                        info = abs( iinfo )
                        IF( iinfo.LT.0 ) THEN
                           RETURN
                        ELSE
                           result( ntest ) = ulpinv
                           GO TO 620
                        END IF
                     END IF
*
*                    Do Test
*
                     CALL zsgt01( ibtype, uplo, n, m, a, lda, b, ldb, z,
     $                            ldz, d, work, rwork, result( ntest ) )
*
                  END IF
*
  620          CONTINUE
  630       CONTINUE
*
*           End of Loop -- Check for RESULT(j) > THRESH
*
            ntestt = ntestt + ntest
            CALL dlafts( 'ZSG', n, n, jtype, ntest, result, ioldsd,
     $                   thresh, nounit, nerrs )
  640    CONTINUE
  650 CONTINUE
*
*     Summary
*
      CALL dlasum( 'ZSG', nounit, nerrs, ntestt )
*
      RETURN
*
 9999 FORMAT( ' ZDRVSG2STG: ', a, ' returned INFO=', i6, '.', / 9x,
     $  'N=', i6, ', JTYPE=', i6, ', ISEED=(', 3( i5, ',' ), i5, ')' )
*
*     End of ZDRVSG2STG
*
      END