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lapack/TESTING/LIN/zdrvhex.f
T
julie 3076651009 Fix bug bug0088 reported by Mike Pont from NAG on the forum
(see http://icl.cs.utk.edu/lapack-forum/viewtopic.php?f=13&t=2893)

This is related to the LAPACK-XBLAS routine: zherfsx.f

Here is what I did:
 - Introduce IINFO so that INFO is not overwritten
 - Use IGNORE_CWISE as suggested to prevent use of unitialize variable PARAMS
But this did not fix the problem reported.
INFO has new value in ZHERFSX (see description of INFO between ZHESVX and ZHESVXX)
This is set on line 634 (IF ( INFO .LE. N ) INFO = N + J) of zherfsx.f
And this is not handled by the testing LIN/zdrvhex.f
I just add  .AND. INFO.LE.N at line 638 to avoid raising an error when INFO = N + J

Please send feedback as I am not sure this is the best way to fix the issue.
I will commit other precision once fix approved.
Thanks
Julie
2011-12-10 06:45:16 +00:00

724 lines
23 KiB
FortranFixed

*> \brief \b ZDRVHEX
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE ZDRVHE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
* NOUT )
*
* .. Scalar Arguments ..
* LOGICAL TSTERR
* INTEGER NMAX, NN, NOUT, NRHS
* DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
* LOGICAL DOTYPE( * )
* INTEGER IWORK( * ), NVAL( * )
* DOUBLE PRECISION RWORK( * )
* COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
* $ WORK( * ), X( * ), XACT( * )
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> ZDRVHE tests the driver routines ZHESV, -SVX, and -SVXX.
*>
*> Note that this file is used only when the XBLAS are available,
*> otherwise zdrvhe.f defines this subroutine.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] DOTYPE
*> \verbatim
*> DOTYPE is 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.
*> \endverbatim
*>
*> \param[in] NN
*> \verbatim
*> NN is INTEGER
*> The number of values of N contained in the vector NVAL.
*> \endverbatim
*>
*> \param[in] NVAL
*> \verbatim
*> NVAL is INTEGER array, dimension (NN)
*> The values of the matrix dimension N.
*> \endverbatim
*>
*> \param[in] NRHS
*> \verbatim
*> NRHS is INTEGER
*> The number of right hand side vectors to be generated for
*> each linear system.
*> \endverbatim
*>
*> \param[in] THRESH
*> \verbatim
*> THRESH is 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.
*> \endverbatim
*>
*> \param[in] TSTERR
*> \verbatim
*> TSTERR is LOGICAL
*> Flag that indicates whether error exits are to be tested.
*> \endverbatim
*>
*> \param[in] NMAX
*> \verbatim
*> NMAX is INTEGER
*> The maximum value permitted for N, used in dimensioning the
*> work arrays.
*> \endverbatim
*>
*> \param[out] A
*> \verbatim
*> A is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AFAC
*> \verbatim
*> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] AINV
*> \verbatim
*> AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
*> \endverbatim
*>
*> \param[out] B
*> \verbatim
*> B is COMPLEX*16 array, dimension (NMAX*NRHS)
*> \endverbatim
*>
*> \param[out] X
*> \verbatim
*> X is COMPLEX*16 array, dimension (NMAX*NRHS)
*> \endverbatim
*>
*> \param[out] XACT
*> \verbatim
*> XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
*> \endverbatim
*>
*> \param[out] WORK
*> \verbatim
*> WORK is COMPLEX*16 array, dimension
*> (NMAX*max(2,NRHS))
*> \endverbatim
*>
*> \param[out] RWORK
*> \verbatim
*> RWORK is DOUBLE PRECISION array, dimension (2*NMAX+2*NRHS)
*> \endverbatim
*>
*> \param[out] IWORK
*> \verbatim
*> IWORK is INTEGER array, dimension (NMAX)
*> \endverbatim
*>
*> \param[in] NOUT
*> \verbatim
*> NOUT is INTEGER
*> The unit number for output.
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2011
*
*> \ingroup complex16_lin
*
* =====================================================================
SUBROUTINE ZDRVHE( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
$ A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
$ NOUT )
*
* -- LAPACK test routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* November 2011
*
* .. Scalar Arguments ..
LOGICAL TSTERR
INTEGER NMAX, NN, NOUT, NRHS
DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
LOGICAL DOTYPE( * )
INTEGER IWORK( * ), NVAL( * )
DOUBLE PRECISION RWORK( * )
COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
$ WORK( * ), X( * ), XACT( * )
* ..
*
* =====================================================================
*
* .. Parameters ..
DOUBLE PRECISION ONE, ZERO
PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
INTEGER NTYPES, NTESTS
PARAMETER ( NTYPES = 10, NTESTS = 6 )
INTEGER NFACT
PARAMETER ( NFACT = 2 )
* ..
* .. Local Scalars ..
LOGICAL ZEROT
CHARACTER DIST, EQUED, FACT, TYPE, UPLO, XTYPE
CHARACTER*3 PATH
INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
$ IZERO, J, K, K1, KL, KU, LDA, LWORK, MODE, N,
$ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT,
$ N_ERR_BNDS
DOUBLE PRECISION AINVNM, ANORM, CNDNUM, RCOND, RCONDC,
$ RPVGRW_SVXX
* ..
* .. Local Arrays ..
CHARACTER FACTS( NFACT ), UPLOS( 2 )
INTEGER ISEED( 4 ), ISEEDY( 4 )
DOUBLE PRECISION RESULT( NTESTS ), BERR( NRHS ),
$ ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
* ..
* .. External Functions ..
DOUBLE PRECISION DGET06, ZLANHE
EXTERNAL DGET06, ZLANHE
* ..
* .. External Subroutines ..
EXTERNAL ALADHD, ALAERH, ALASVM, XLAENV, ZERRVX, ZGET04,
$ ZHESV, ZHESVX, ZHET01, ZHETRF, ZHETRI2, ZLACPY,
$ ZLAIPD, ZLARHS, ZLASET, ZLATB4, ZLATMS, ZPOT02,
$ ZPOT05, ZHESVXX
* ..
* .. Scalars in Common ..
LOGICAL LERR, OK
CHARACTER*32 SRNAMT
INTEGER INFOT, NUNIT
* ..
* .. Common blocks ..
COMMON / INFOC / INFOT, NUNIT, OK, LERR
COMMON / SRNAMC / SRNAMT
* ..
* .. Intrinsic Functions ..
INTRINSIC DCMPLX, MAX, MIN
* ..
* .. Data statements ..
DATA ISEEDY / 1988, 1989, 1990, 1991 /
DATA UPLOS / 'U', 'L' / , FACTS / 'F', 'N' /
* ..
* .. Executable Statements ..
*
* Initialize constants and the random number seed.
*
PATH( 1: 1 ) = 'Z'
PATH( 2: 3 ) = 'HE'
NRUN = 0
NFAIL = 0
NERRS = 0
DO 10 I = 1, 4
ISEED( I ) = ISEEDY( I )
10 CONTINUE
LWORK = MAX( 2*NMAX, NMAX*NRHS )
*
* Test the error exits
*
IF( TSTERR )
$ CALL ZERRVX( PATH, NOUT )
INFOT = 0
*
* Set the block size and minimum block size for testing.
*
NB = 1
NBMIN = 2
CALL XLAENV( 1, NB )
CALL XLAENV( 2, NBMIN )
*
* Do for each value of N in NVAL
*
DO 180 IN = 1, NN
N = NVAL( IN )
LDA = MAX( N, 1 )
XTYPE = 'N'
NIMAT = NTYPES
IF( N.LE.0 )
$ NIMAT = 1
*
DO 170 IMAT = 1, NIMAT
*
* Do the tests only if DOTYPE( IMAT ) is true.
*
IF( .NOT.DOTYPE( IMAT ) )
$ GO TO 170
*
* Skip types 3, 4, 5, or 6 if the matrix size is too small.
*
ZEROT = IMAT.GE.3 .AND. IMAT.LE.6
IF( ZEROT .AND. N.LT.IMAT-2 )
$ GO TO 170
*
* Do first for UPLO = 'U', then for UPLO = 'L'
*
DO 160 IUPLO = 1, 2
UPLO = UPLOS( IUPLO )
*
* Set up parameters with ZLATB4 and generate a test matrix
* with ZLATMS.
*
CALL ZLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM, MODE,
$ CNDNUM, DIST )
*
SRNAMT = 'ZLATMS'
CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
$ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
$ INFO )
*
* Check error code from ZLATMS.
*
IF( INFO.NE.0 ) THEN
CALL ALAERH( PATH, 'ZLATMS', INFO, 0, UPLO, N, N, -1,
$ -1, -1, IMAT, NFAIL, NERRS, NOUT )
GO TO 160
END IF
*
* For types 3-6, zero one or more rows and columns of the
* matrix to test that INFO is returned correctly.
*
IF( ZEROT ) THEN
IF( IMAT.EQ.3 ) THEN
IZERO = 1
ELSE IF( IMAT.EQ.4 ) THEN
IZERO = N
ELSE
IZERO = N / 2 + 1
END IF
*
IF( IMAT.LT.6 ) THEN
*
* Set row and column IZERO to zero.
*
IF( IUPLO.EQ.1 ) THEN
IOFF = ( IZERO-1 )*LDA
DO 20 I = 1, IZERO - 1
A( IOFF+I ) = ZERO
20 CONTINUE
IOFF = IOFF + IZERO
DO 30 I = IZERO, N
A( IOFF ) = ZERO
IOFF = IOFF + LDA
30 CONTINUE
ELSE
IOFF = IZERO
DO 40 I = 1, IZERO - 1
A( IOFF ) = ZERO
IOFF = IOFF + LDA
40 CONTINUE
IOFF = IOFF - IZERO
DO 50 I = IZERO, N
A( IOFF+I ) = ZERO
50 CONTINUE
END IF
ELSE
IOFF = 0
IF( IUPLO.EQ.1 ) THEN
*
* Set the first IZERO rows and columns to zero.
*
DO 70 J = 1, N
I2 = MIN( J, IZERO )
DO 60 I = 1, I2
A( IOFF+I ) = ZERO
60 CONTINUE
IOFF = IOFF + LDA
70 CONTINUE
ELSE
*
* Set the last IZERO rows and columns to zero.
*
DO 90 J = 1, N
I1 = MAX( J, IZERO )
DO 80 I = I1, N
A( IOFF+I ) = ZERO
80 CONTINUE
IOFF = IOFF + LDA
90 CONTINUE
END IF
END IF
ELSE
IZERO = 0
END IF
*
* Set the imaginary part of the diagonals.
*
CALL ZLAIPD( N, A, LDA+1, 0 )
*
DO 150 IFACT = 1, NFACT
*
* Do first for FACT = 'F', then for other values.
*
FACT = FACTS( IFACT )
*
* Compute the condition number for comparison with
* the value returned by ZHESVX.
*
IF( ZEROT ) THEN
IF( IFACT.EQ.1 )
$ GO TO 150
RCONDC = ZERO
*
ELSE IF( IFACT.EQ.1 ) THEN
*
* Compute the 1-norm of A.
*
ANORM = ZLANHE( '1', UPLO, N, A, LDA, RWORK )
*
* Factor the matrix A.
*
CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
CALL ZHETRF( UPLO, N, AFAC, LDA, IWORK, WORK,
$ LWORK, INFO )
*
* Compute inv(A) and take its norm.
*
CALL ZLACPY( UPLO, N, N, AFAC, LDA, AINV, LDA )
LWORK = (N+NB+1)*(NB+3)
CALL ZHETRI2( UPLO, N, AINV, LDA, IWORK, WORK,
$ LWORK, INFO )
AINVNM = ZLANHE( '1', UPLO, N, AINV, LDA, RWORK )
*
* Compute the 1-norm condition number of A.
*
IF( ANORM.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
RCONDC = ONE
ELSE
RCONDC = ( ONE / ANORM ) / AINVNM
END IF
END IF
*
* Form an exact solution and set the right hand side.
*
SRNAMT = 'ZLARHS'
CALL ZLARHS( PATH, XTYPE, UPLO, ' ', N, N, KL, KU,
$ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
$ INFO )
XTYPE = 'C'
*
* --- Test ZHESV ---
*
IF( IFACT.EQ.2 ) THEN
CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
CALL ZLACPY( 'Full', N, NRHS, B, LDA, X, LDA )
*
* Factor the matrix and solve the system using ZHESV.
*
SRNAMT = 'ZHESV '
CALL ZHESV( UPLO, N, NRHS, AFAC, LDA, IWORK, X,
$ LDA, WORK, LWORK, INFO )
*
* Adjust the expected value of INFO to account for
* pivoting.
*
K = IZERO
IF( K.GT.0 ) THEN
100 CONTINUE
IF( IWORK( K ).LT.0 ) THEN
IF( IWORK( K ).NE.-K ) THEN
K = -IWORK( K )
GO TO 100
END IF
ELSE IF( IWORK( K ).NE.K ) THEN
K = IWORK( K )
GO TO 100
END IF
END IF
*
* Check error code from ZHESV .
*
IF( INFO.NE.K ) THEN
CALL ALAERH( PATH, 'ZHESV ', INFO, K, UPLO, N,
$ N, -1, -1, NRHS, IMAT, NFAIL,
$ NERRS, NOUT )
GO TO 120
ELSE IF( INFO.NE.0 ) THEN
GO TO 120
END IF
*
* Reconstruct matrix from factors and compute
* residual.
*
CALL ZHET01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
$ AINV, LDA, RWORK, RESULT( 1 ) )
*
* Compute residual of the computed solution.
*
CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
CALL ZPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
$ LDA, RWORK, RESULT( 2 ) )
*
* Check solution from generated exact solution.
*
CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
$ RESULT( 3 ) )
NT = 3
*
* Print information about the tests that did not pass
* the threshold.
*
DO 110 K = 1, NT
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
WRITE( NOUT, FMT = 9999 )'ZHESV ', UPLO, N,
$ IMAT, K, RESULT( K )
NFAIL = NFAIL + 1
END IF
110 CONTINUE
NRUN = NRUN + NT
120 CONTINUE
END IF
*
* --- Test ZHESVX ---
*
IF( IFACT.EQ.2 )
$ CALL ZLASET( UPLO, N, N, DCMPLX( ZERO ),
$ DCMPLX( ZERO ), AFAC, LDA )
CALL ZLASET( 'Full', N, NRHS, DCMPLX( ZERO ),
$ DCMPLX( ZERO ), X, LDA )
*
* Solve the system and compute the condition number and
* error bounds using ZHESVX.
*
SRNAMT = 'ZHESVX'
CALL ZHESVX( FACT, UPLO, N, NRHS, A, LDA, AFAC, LDA,
$ IWORK, B, LDA, X, LDA, RCOND, RWORK,
$ RWORK( NRHS+1 ), WORK, LWORK,
$ RWORK( 2*NRHS+1 ), INFO )
*
* Adjust the expected value of INFO to account for
* pivoting.
*
K = IZERO
IF( K.GT.0 ) THEN
130 CONTINUE
IF( IWORK( K ).LT.0 ) THEN
IF( IWORK( K ).NE.-K ) THEN
K = -IWORK( K )
GO TO 130
END IF
ELSE IF( IWORK( K ).NE.K ) THEN
K = IWORK( K )
GO TO 130
END IF
END IF
*
* Check the error code from ZHESVX.
*
IF( INFO.NE.K ) THEN
CALL ALAERH( PATH, 'ZHESVX', INFO, K, FACT // UPLO,
$ N, N, -1, -1, NRHS, IMAT, NFAIL,
$ NERRS, NOUT )
GO TO 150
END IF
*
IF( INFO.EQ.0 ) THEN
IF( IFACT.GE.2 ) THEN
*
* Reconstruct matrix from factors and compute
* residual.
*
CALL ZHET01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
$ AINV, LDA, RWORK( 2*NRHS+1 ),
$ RESULT( 1 ) )
K1 = 1
ELSE
K1 = 2
END IF
*
* Compute residual of the computed solution.
*
CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
CALL ZPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
$ LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
*
* Check solution from generated exact solution.
*
CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
$ RESULT( 3 ) )
*
* Check the error bounds from iterative refinement.
*
CALL ZPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
$ XACT, LDA, RWORK, RWORK( NRHS+1 ),
$ RESULT( 4 ) )
ELSE
K1 = 6
END IF
*
* Compare RCOND from ZHESVX with the computed value
* in RCONDC.
*
RESULT( 6 ) = DGET06( RCOND, RCONDC )
*
* Print information about the tests that did not pass
* the threshold.
*
DO 140 K = K1, 6
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
WRITE( NOUT, FMT = 9998 )'ZHESVX', FACT, UPLO,
$ N, IMAT, K, RESULT( K )
NFAIL = NFAIL + 1
END IF
140 CONTINUE
NRUN = NRUN + 7 - K1
*
* --- Test ZHESVXX ---
*
* Restore the matrices A and B.
*
IF( IFACT.EQ.2 )
$ CALL ZLASET( UPLO, N, N, CMPLX( ZERO ),
$ CMPLX( ZERO ), AFAC, LDA )
CALL ZLASET( 'Full', N, NRHS, CMPLX( ZERO ),
$ CMPLX( ZERO ), X, LDA )
*
* Solve the system and compute the condition number
* and error bounds using ZHESVXX.
*
SRNAMT = 'ZHESVXX'
N_ERR_BNDS = 3
EQUED = 'N'
CALL ZHESVXX( FACT, UPLO, N, NRHS, A, LDA, AFAC,
$ LDA, IWORK, EQUED, WORK( N+1 ), B, LDA, X,
$ LDA, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
$ ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
$ RWORK, INFO )
*
* Adjust the expected value of INFO to account for
* pivoting.
*
K = IZERO
IF( K.GT.0 ) THEN
135 CONTINUE
IF( IWORK( K ).LT.0 ) THEN
IF( IWORK( K ).NE.-K ) THEN
K = -IWORK( K )
GO TO 135
END IF
ELSE IF( IWORK( K ).NE.K ) THEN
K = IWORK( K )
GO TO 135
END IF
END IF
*
* Check the error code from ZHESVXX.
*
IF( INFO.NE.K .AND. INFO.LE.N) THEN
CALL ALAERH( PATH, 'ZHESVXX', INFO, K,
$ FACT // UPLO, N, N, -1, -1, NRHS, IMAT, NFAIL,
$ NERRS, NOUT )
GO TO 150
END IF
*
IF( INFO.EQ.0 ) THEN
IF( IFACT.GE.2 ) THEN
*
* Reconstruct matrix from factors and compute
* residual.
*
CALL ZHET01( UPLO, N, A, LDA, AFAC, LDA, IWORK,
$ AINV, LDA, RWORK(2*NRHS+1),
$ RESULT( 1 ) )
K1 = 1
ELSE
K1 = 2
END IF
*
* Compute residual of the computed solution.
*
CALL ZLACPY( 'Full', N, NRHS, B, LDA, WORK, LDA )
CALL ZPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
$ LDA, RWORK( 2*NRHS+1 ), RESULT( 2 ) )
RESULT( 2 ) = 0.0
*
* Check solution from generated exact solution.
*
CALL ZGET04( N, NRHS, X, LDA, XACT, LDA, RCONDC,
$ RESULT( 3 ) )
*
* Check the error bounds from iterative refinement.
*
CALL ZPOT05( UPLO, N, NRHS, A, LDA, B, LDA, X, LDA,
$ XACT, LDA, RWORK, RWORK( NRHS+1 ),
$ RESULT( 4 ) )
ELSE
K1 = 6
END IF
*
* Compare RCOND from ZHESVXX with the computed value
* in RCONDC.
*
RESULT( 6 ) = DGET06( RCOND, RCONDC )
*
* Print information about the tests that did not pass
* the threshold.
*
DO 85 K = K1, 6
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
WRITE( NOUT, FMT = 9998 )'ZHESVXX',
$ FACT, UPLO, N, IMAT, K,
$ RESULT( K )
NFAIL = NFAIL + 1
END IF
85 CONTINUE
NRUN = NRUN + 7 - K1
*
150 CONTINUE
*
160 CONTINUE
170 CONTINUE
180 CONTINUE
*
* Print a summary of the results.
*
CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
*
* Test Error Bounds from ZHESVXX
CALL ZEBCHVXX(THRESH, PATH)
9999 FORMAT( 1X, A, ', UPLO=''', A1, ''', N =', I5, ', type ', I2,
$ ', test ', I2, ', ratio =', G12.5 )
9998 FORMAT( 1X, A, ', FACT=''', A1, ''', UPLO=''', A1, ''', N =', I5,
$ ', type ', I2, ', test ', I2, ', ratio =', G12.5 )
RETURN
*
* End of ZDRVHE
*
END