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|
*> \brief \b DDRVGBX
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* SUBROUTINE DDRVGB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, A, LA,
* AFB, LAFB, ASAV, B, BSAV, X, XACT, S, WORK,
* RWORK, IWORK, NOUT )
*
* .. Scalar Arguments ..
* LOGICAL TSTERR
* INTEGER LA, LAFB, NN, NOUT, NRHS
* DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
* LOGICAL DOTYPE( * )
* INTEGER IWORK( * ), NVAL( * )
* DOUBLE PRECISION A( * ), AFB( * ), ASAV( * ), B( * ), BSAV( * ),
* $ RWORK( * ), S( * ), WORK( * ), X( * ),
* $ XACT( * )
* ..
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> DDRVGB tests the driver routines DGBSV, -SVX, and -SVXX.
*>
*> Note that this file is used only when the XBLAS are available,
*> otherwise ddrvgb.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 column 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[out] A
*> \verbatim
*> A is DOUBLE PRECISION array, dimension (LA)
*> \endverbatim
*>
*> \param[in] LA
*> \verbatim
*> LA is INTEGER
*> The length of the array A. LA >= (2*NMAX-1)*NMAX
*> where NMAX is the largest entry in NVAL.
*> \endverbatim
*>
*> \param[out] AFB
*> \verbatim
*> AFB is DOUBLE PRECISION array, dimension (LAFB)
*> \endverbatim
*>
*> \param[in] LAFB
*> \verbatim
*> LAFB is INTEGER
*> The length of the array AFB. LAFB >= (3*NMAX-2)*NMAX
*> where NMAX is the largest entry in NVAL.
*> \endverbatim
*>
*> \param[out] ASAV
*> \verbatim
*> ASAV is DOUBLE PRECISION array, dimension (LA)
*> \endverbatim
*>
*> \param[out] B
*> \verbatim
*> B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
*> \endverbatim
*>
*> \param[out] BSAV
*> \verbatim
*> BSAV is DOUBLE PRECISION array, dimension (NMAX*NRHS)
*> \endverbatim
*>
*> \param[out] X
*> \verbatim
*> X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
*> \endverbatim
*>
*> \param[out] XACT
*> \verbatim
*> XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
*> \endverbatim
*>
*> \param[out] S
*> \verbatim
*> S is DOUBLE PRECISION array, dimension (2*NMAX)
*> \endverbatim
*>
*> \param[out] WORK
*> \verbatim
*> WORK is DOUBLE PRECISION array, dimension
*> (NMAX*max(3,NRHS,NMAX))
*> \endverbatim
*>
*> \param[out] RWORK
*> \verbatim
*> RWORK is DOUBLE PRECISION array, dimension
*> (max(NMAX,2*NRHS))
*> \endverbatim
*>
*> \param[out] IWORK
*> \verbatim
*> IWORK is INTEGER array, dimension (2*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 double_lin
*
* =====================================================================
SUBROUTINE DDRVGB( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, A, LA,
$ AFB, LAFB, ASAV, B, BSAV, X, XACT, S, 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 LA, LAFB, NN, NOUT, NRHS
DOUBLE PRECISION THRESH
* ..
* .. Array Arguments ..
LOGICAL DOTYPE( * )
INTEGER IWORK( * ), NVAL( * )
DOUBLE PRECISION A( * ), AFB( * ), ASAV( * ), B( * ), BSAV( * ),
$ RWORK( * ), S( * ), WORK( * ), X( * ),
$ XACT( * )
* ..
*
* =====================================================================
*
* .. Parameters ..
DOUBLE PRECISION ONE, ZERO
PARAMETER ( ONE = 1.0D+0, ZERO = 0.0D+0 )
INTEGER NTYPES
PARAMETER ( NTYPES = 8 )
INTEGER NTESTS
PARAMETER ( NTESTS = 7 )
INTEGER NTRAN
PARAMETER ( NTRAN = 3 )
* ..
* .. Local Scalars ..
LOGICAL EQUIL, NOFACT, PREFAC, TRFCON, ZEROT
CHARACTER DIST, EQUED, FACT, TRANS, TYPE, XTYPE
CHARACTER*3 PATH
INTEGER I, I1, I2, IEQUED, IFACT, IKL, IKU, IMAT, IN,
$ INFO, IOFF, ITRAN, IZERO, J, K, K1, KL, KU,
$ LDA, LDAFB, LDB, MODE, N, NB, NBMIN, NERRS,
$ NFACT, NFAIL, NIMAT, NKL, NKU, NRUN, NT,
$ N_ERR_BNDS
DOUBLE PRECISION AINVNM, AMAX, ANORM, ANORMI, ANORMO, ANRMPV,
$ CNDNUM, COLCND, RCOND, RCONDC, RCONDI, RCONDO,
$ ROLDC, ROLDI, ROLDO, ROWCND, RPVGRW,
$ RPVGRW_SVXX
* ..
* .. Local Arrays ..
CHARACTER EQUEDS( 4 ), FACTS( 3 ), TRANSS( NTRAN )
INTEGER ISEED( 4 ), ISEEDY( 4 )
DOUBLE PRECISION RESULT( NTESTS ), BERR( NRHS ),
$ ERRBNDS_N( NRHS, 3 ), ERRBNDS_C( NRHS, 3 )
* ..
* .. External Functions ..
LOGICAL LSAME
DOUBLE PRECISION DGET06, DLAMCH, DLANGB, DLANGE, DLANTB,
$ DLA_GBRPVGRW
EXTERNAL LSAME, DGET06, DLAMCH, DLANGB, DLANGE, DLANTB,
$ DLA_GBRPVGRW
* ..
* .. External Subroutines ..
EXTERNAL ALADHD, ALAERH, ALASVM, DERRVX, DGBEQU, DGBSV,
$ DGBSVX, DGBT01, DGBT02, DGBT05, DGBTRF, DGBTRS,
$ DGET04, DLACPY, DLAQGB, DLARHS, DLASET, DLATB4,
$ DLATMS, XLAENV, DGBSVXX, DGBEQUB
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN
* ..
* .. Scalars in Common ..
LOGICAL LERR, OK
CHARACTER*32 SRNAMT
INTEGER INFOT, NUNIT
* ..
* .. Common blocks ..
COMMON / INFOC / INFOT, NUNIT, OK, LERR
COMMON / SRNAMC / SRNAMT
* ..
* .. Data statements ..
DATA ISEEDY / 1988, 1989, 1990, 1991 /
DATA TRANSS / 'N', 'T', 'C' /
DATA FACTS / 'F', 'N', 'E' /
DATA EQUEDS / 'N', 'R', 'C', 'B' /
* ..
* .. Executable Statements ..
*
* Initialize constants and the random number seed.
*
PATH( 1: 1 ) = 'Double 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 DERRVX( 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 150 IN = 1, NN
N = NVAL( IN )
LDB = MAX( N, 1 )
XTYPE = 'N'
*
* Set limits on the number of loop iterations.
*
NKL = MAX( 1, MIN( N, 4 ) )
IF( N.EQ.0 )
$ NKL = 1
NKU = NKL
NIMAT = NTYPES
IF( N.LE.0 )
$ NIMAT = 1
*
DO 140 IKL = 1, NKL
*
* Do for KL = 0, N-1, (3N-1)/4, and (N+1)/4. This order makes
* it easier to skip redundant values for small values of N.
*
IF( IKL.EQ.1 ) THEN
KL = 0
ELSE IF( IKL.EQ.2 ) THEN
KL = MAX( N-1, 0 )
ELSE IF( IKL.EQ.3 ) THEN
KL = ( 3*N-1 ) / 4
ELSE IF( IKL.EQ.4 ) THEN
KL = ( N+1 ) / 4
END IF
DO 130 IKU = 1, NKU
*
* Do for KU = 0, N-1, (3N-1)/4, and (N+1)/4. This order
* makes it easier to skip redundant values for small
* values of N.
*
IF( IKU.EQ.1 ) THEN
KU = 0
ELSE IF( IKU.EQ.2 ) THEN
KU = MAX( N-1, 0 )
ELSE IF( IKU.EQ.3 ) THEN
KU = ( 3*N-1 ) / 4
ELSE IF( IKU.EQ.4 ) THEN
KU = ( N+1 ) / 4
END IF
*
* Check that A and AFB are big enough to generate this
* matrix.
*
LDA = KL + KU + 1
LDAFB = 2*KL + KU + 1
IF( LDA*N.GT.LA .OR. LDAFB*N.GT.LAFB ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( LDA*N.GT.LA ) THEN
WRITE( NOUT, FMT = 9999 )LA, N, KL, KU,
$ N*( KL+KU+1 )
NERRS = NERRS + 1
END IF
IF( LDAFB*N.GT.LAFB ) THEN
WRITE( NOUT, FMT = 9998 )LAFB, 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 is too small.
*
ZEROT = IMAT.GE.2 .AND. IMAT.LE.4
IF( ZEROT .AND. N.LT.IMAT-1 )
$ GO TO 120
*
* Set up parameters with DLATB4 and generate a
* test matrix with DLATMS.
*
CALL DLATB4( PATH, IMAT, N, N, TYPE, KL, KU, ANORM,
$ MODE, CNDNUM, DIST )
RCONDC = ONE / CNDNUM
*
SRNAMT = 'DLATMS'
CALL DLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
$ CNDNUM, ANORM, KL, KU, 'Z', A, LDA, WORK,
$ INFO )
*
* Check the error code from DLATMS.
*
IF( INFO.NE.0 ) THEN
CALL ALAERH( PATH, 'DLATMS', INFO, 0, ' ', N, N,
$ KL, KU, -1, IMAT, NFAIL, NERRS, NOUT )
GO TO 120
END IF
*
* For types 2, 3, and 4, zero one or more columns of
* the matrix to test that INFO is returned correctly.
*
IZERO = 0
IF( ZEROT ) THEN
IF( IMAT.EQ.2 ) THEN
IZERO = 1
ELSE IF( IMAT.EQ.3 ) THEN
IZERO = N
ELSE
IZERO = N / 2 + 1
END IF
IOFF = ( IZERO-1 )*LDA
IF( IMAT.LT.4 ) THEN
I1 = MAX( 1, KU+2-IZERO )
I2 = MIN( KL+KU+1, KU+1+( N-IZERO ) )
DO 20 I = I1, I2
A( IOFF+I ) = ZERO
20 CONTINUE
ELSE
DO 40 J = IZERO, N
DO 30 I = MAX( 1, KU+2-J ),
$ MIN( KL+KU+1, KU+1+( N-J ) )
A( IOFF+I ) = ZERO
30 CONTINUE
IOFF = IOFF + LDA
40 CONTINUE
END IF
END IF
*
* Save a copy of the matrix A in ASAV.
*
CALL DLACPY( 'Full', KL+KU+1, N, A, LDA, ASAV, LDA )
*
DO 110 IEQUED = 1, 4
EQUED = EQUEDS( IEQUED )
IF( IEQUED.EQ.1 ) THEN
NFACT = 3
ELSE
NFACT = 1
END IF
*
DO 100 IFACT = 1, NFACT
FACT = FACTS( IFACT )
PREFAC = LSAME( FACT, 'F' )
NOFACT = LSAME( FACT, 'N' )
EQUIL = LSAME( FACT, 'E' )
*
IF( ZEROT ) THEN
IF( PREFAC )
$ GO TO 100
RCONDO = ZERO
RCONDI = ZERO
*
ELSE IF( .NOT.NOFACT ) THEN
*
* Compute the condition number for comparison
* with the value returned by DGESVX (FACT =
* 'N' reuses the condition number from the
* previous iteration with FACT = 'F').
*
CALL DLACPY( 'Full', KL+KU+1, N, ASAV, LDA,
$ AFB( KL+1 ), LDAFB )
IF( EQUIL .OR. IEQUED.GT.1 ) THEN
*
* Compute row and column scale factors to
* equilibrate the matrix A.
*
CALL DGBEQU( N, N, KL, KU, AFB( KL+1 ),
$ LDAFB, S, S( N+1 ), ROWCND,
$ COLCND, AMAX, INFO )
IF( INFO.EQ.0 .AND. N.GT.0 ) THEN
IF( LSAME( EQUED, 'R' ) ) THEN
ROWCND = ZERO
COLCND = ONE
ELSE IF( LSAME( EQUED, 'C' ) ) THEN
ROWCND = ONE
COLCND = ZERO
ELSE IF( LSAME( EQUED, 'B' ) ) THEN
ROWCND = ZERO
COLCND = ZERO
END IF
*
* Equilibrate the matrix.
*
CALL DLAQGB( N, N, KL, KU, AFB( KL+1 ),
$ LDAFB, S, S( N+1 ),
$ ROWCND, COLCND, AMAX,
$ EQUED )
END IF
END IF
*
* Save the condition number of the
* non-equilibrated system for use in DGET04.
*
IF( EQUIL ) THEN
ROLDO = RCONDO
ROLDI = RCONDI
END IF
*
* Compute the 1-norm and infinity-norm of A.
*
ANORMO = DLANGB( '1', N, KL, KU, AFB( KL+1 ),
$ LDAFB, RWORK )
ANORMI = DLANGB( 'I', N, KL, KU, AFB( KL+1 ),
$ LDAFB, RWORK )
*
* Factor the matrix A.
*
CALL DGBTRF( N, N, KL, KU, AFB, LDAFB, IWORK,
$ INFO )
*
* Form the inverse of A.
*
CALL DLASET( 'Full', N, N, ZERO, ONE, WORK,
$ LDB )
SRNAMT = 'DGBTRS'
CALL DGBTRS( 'No transpose', N, KL, KU, N,
$ AFB, LDAFB, IWORK, WORK, LDB,
$ INFO )
*
* Compute the 1-norm condition number of A.
*
AINVNM = DLANGE( '1', N, N, WORK, LDB,
$ RWORK )
IF( ANORMO.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
RCONDO = ONE
ELSE
RCONDO = ( ONE / ANORMO ) / AINVNM
END IF
*
* Compute the infinity-norm condition number
* of A.
*
AINVNM = DLANGE( 'I', N, N, WORK, LDB,
$ RWORK )
IF( ANORMI.LE.ZERO .OR. AINVNM.LE.ZERO ) THEN
RCONDI = ONE
ELSE
RCONDI = ( ONE / ANORMI ) / AINVNM
END IF
END IF
*
DO 90 ITRAN = 1, NTRAN
*
* Do for each value of TRANS.
*
TRANS = TRANSS( ITRAN )
IF( ITRAN.EQ.1 ) THEN
RCONDC = RCONDO
ELSE
RCONDC = RCONDI
END IF
*
* Restore the matrix A.
*
CALL DLACPY( 'Full', KL+KU+1, N, ASAV, LDA,
$ A, LDA )
*
* Form an exact solution and set the right hand
* side.
*
SRNAMT = 'DLARHS'
CALL DLARHS( PATH, XTYPE, 'Full', TRANS, N,
$ N, KL, KU, NRHS, A, LDA, XACT,
$ LDB, B, LDB, ISEED, INFO )
XTYPE = 'C'
CALL DLACPY( 'Full', N, NRHS, B, LDB, BSAV,
$ LDB )
*
IF( NOFACT .AND. ITRAN.EQ.1 ) THEN
*
* --- Test DGBSV ---
*
* Compute the LU factorization of the matrix
* and solve the system.
*
CALL DLACPY( 'Full', KL+KU+1, N, A, LDA,
$ AFB( KL+1 ), LDAFB )
CALL DLACPY( 'Full', N, NRHS, B, LDB, X,
$ LDB )
*
SRNAMT = 'DGBSV '
CALL DGBSV( N, KL, KU, NRHS, AFB, LDAFB,
$ IWORK, X, LDB, INFO )
*
* Check error code from DGBSV .
*
IF( INFO.NE.IZERO )
$ CALL ALAERH( PATH, 'DGBSV ', INFO,
$ IZERO, ' ', N, N, KL, KU,
$ NRHS, IMAT, NFAIL, NERRS,
$ NOUT )
*
* Reconstruct matrix from factors and
* compute residual.
*
CALL DGBT01( N, N, KL, KU, A, LDA, AFB,
$ LDAFB, IWORK, WORK,
$ RESULT( 1 ) )
NT = 1
IF( IZERO.EQ.0 ) THEN
*
* Compute residual of the computed
* solution.
*
CALL DLACPY( 'Full', N, NRHS, B, LDB,
$ WORK, LDB )
CALL DGBT02( 'No transpose', N, N, KL,
$ KU, NRHS, A, LDA, X, LDB,
$ WORK, LDB, RESULT( 2 ) )
*
* Check solution from generated exact
* solution.
*
CALL DGET04( N, NRHS, X, LDB, XACT,
$ LDB, RCONDC, RESULT( 3 ) )
NT = 3
END IF
*
* Print information about the tests that did
* not pass the threshold.
*
DO 50 K = 1, NT
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
WRITE( NOUT, FMT = 9997 )'DGBSV ',
$ N, KL, KU, IMAT, K, RESULT( K )
NFAIL = NFAIL + 1
END IF
50 CONTINUE
NRUN = NRUN + NT
END IF
*
* --- Test DGBSVX ---
*
IF( .NOT.PREFAC )
$ CALL DLASET( 'Full', 2*KL+KU+1, N, ZERO,
$ ZERO, AFB, LDAFB )
CALL DLASET( 'Full', N, NRHS, ZERO, ZERO, X,
$ LDB )
IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
*
* Equilibrate the matrix if FACT = 'F' and
* EQUED = 'R', 'C', or 'B'.
*
CALL DLAQGB( N, N, KL, KU, A, LDA, S,
$ S( N+1 ), ROWCND, COLCND,
$ AMAX, EQUED )
END IF
*
* Solve the system and compute the condition
* number and error bounds using DGBSVX.
*
SRNAMT = 'DGBSVX'
CALL DGBSVX( FACT, TRANS, N, KL, KU, NRHS, A,
$ LDA, AFB, LDAFB, IWORK, EQUED,
$ S, S( N+1 ), B, LDB, X, LDB,
$ RCOND, RWORK, RWORK( NRHS+1 ),
$ WORK, IWORK( N+1 ), INFO )
*
* Check the error code from DGBSVX.
*
IF( INFO.NE.IZERO )
$ CALL ALAERH( PATH, 'DGBSVX', INFO, IZERO,
$ FACT // TRANS, N, N, KL, KU,
$ NRHS, IMAT, NFAIL, NERRS,
$ NOUT )
*
* Compare WORK(1) from DGBSVX with the computed
* reciprocal pivot growth factor RPVGRW
*
IF( INFO.NE.0 ) THEN
ANRMPV = ZERO
DO 70 J = 1, INFO
DO 60 I = MAX( KU+2-J, 1 ),
$ MIN( N+KU+1-J, KL+KU+1 )
ANRMPV = MAX( ANRMPV,
$ ABS( A( I+( J-1 )*LDA ) ) )
60 CONTINUE
70 CONTINUE
RPVGRW = DLANTB( 'M', 'U', 'N', INFO,
$ MIN( INFO-1, KL+KU ),
$ AFB( MAX( 1, KL+KU+2-INFO ) ),
$ LDAFB, WORK )
IF( RPVGRW.EQ.ZERO ) THEN
RPVGRW = ONE
ELSE
RPVGRW = ANRMPV / RPVGRW
END IF
ELSE
RPVGRW = DLANTB( 'M', 'U', 'N', N, KL+KU,
$ AFB, LDAFB, WORK )
IF( RPVGRW.EQ.ZERO ) THEN
RPVGRW = ONE
ELSE
RPVGRW = DLANGB( 'M', N, KL, KU, A,
$ LDA, WORK ) / RPVGRW
END IF
END IF
RESULT( 7 ) = ABS( RPVGRW-WORK( 1 ) ) /
$ MAX( WORK( 1 ), RPVGRW ) /
$ DLAMCH( 'E' )
*
IF( .NOT.PREFAC ) THEN
*
* Reconstruct matrix from factors and
* compute residual.
*
CALL DGBT01( N, N, KL, KU, A, LDA, AFB,
$ LDAFB, IWORK, WORK,
$ RESULT( 1 ) )
K1 = 1
ELSE
K1 = 2
END IF
*
IF( INFO.EQ.0 ) THEN
TRFCON = .FALSE.
*
* Compute residual of the computed solution.
*
CALL DLACPY( 'Full', N, NRHS, BSAV, LDB,
$ WORK, LDB )
CALL DGBT02( TRANS, N, N, KL, KU, NRHS,
$ ASAV, LDA, X, LDB, WORK, LDB,
$ RESULT( 2 ) )
*
* Check solution from generated exact
* solution.
*
IF( NOFACT .OR. ( PREFAC .AND.
$ LSAME( EQUED, 'N' ) ) ) THEN
CALL DGET04( N, NRHS, X, LDB, XACT,
$ LDB, RCONDC, RESULT( 3 ) )
ELSE
IF( ITRAN.EQ.1 ) THEN
ROLDC = ROLDO
ELSE
ROLDC = ROLDI
END IF
CALL DGET04( N, NRHS, X, LDB, XACT,
$ LDB, ROLDC, RESULT( 3 ) )
END IF
*
* Check the error bounds from iterative
* refinement.
*
CALL DGBT05( TRANS, N, KL, KU, NRHS, ASAV,
$ LDA, B, LDB, X, LDB, XACT,
$ LDB, RWORK, RWORK( NRHS+1 ),
$ RESULT( 4 ) )
ELSE
TRFCON = .TRUE.
END IF
*
* Compare RCOND from DGBSVX with the computed
* value in RCONDC.
*
RESULT( 6 ) = DGET06( RCOND, RCONDC )
*
* Print information about the tests that did
* not pass the threshold.
*
IF( .NOT.TRFCON ) THEN
DO 80 K = K1, NTESTS
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )
$ 'DGBSVX', FACT, TRANS, N, KL,
$ KU, EQUED, IMAT, K,
$ RESULT( K )
ELSE
WRITE( NOUT, FMT = 9996 )
$ 'DGBSVX', FACT, TRANS, N, KL,
$ KU, IMAT, K, RESULT( K )
END IF
NFAIL = NFAIL + 1
END IF
80 CONTINUE
NRUN = NRUN + 7 - K1
ELSE
IF( RESULT( 1 ).GE.THRESH .AND. .NOT.
$ PREFAC ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )'DGBSVX',
$ FACT, TRANS, N, KL, KU, EQUED,
$ IMAT, 1, RESULT( 1 )
ELSE
WRITE( NOUT, FMT = 9996 )'DGBSVX',
$ FACT, TRANS, N, KL, KU, IMAT, 1,
$ RESULT( 1 )
END IF
NFAIL = NFAIL + 1
NRUN = NRUN + 1
END IF
IF( RESULT( 6 ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )'DGBSVX',
$ FACT, TRANS, N, KL, KU, EQUED,
$ IMAT, 6, RESULT( 6 )
ELSE
WRITE( NOUT, FMT = 9996 )'DGBSVX',
$ FACT, TRANS, N, KL, KU, IMAT, 6,
$ RESULT( 6 )
END IF
NFAIL = NFAIL + 1
NRUN = NRUN + 1
END IF
IF( RESULT( 7 ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )'DGBSVX',
$ FACT, TRANS, N, KL, KU, EQUED,
$ IMAT, 7, RESULT( 7 )
ELSE
WRITE( NOUT, FMT = 9996 )'DGBSVX',
$ FACT, TRANS, N, KL, KU, IMAT, 7,
$ RESULT( 7 )
END IF
NFAIL = NFAIL + 1
NRUN = NRUN + 1
END IF
*
END IF
*
* --- Test DGBSVXX ---
*
* Restore the matrices A and B.
*
CALL DLACPY( 'Full', KL+KU+1, N, ASAV, LDA, A,
$ LDA )
CALL DLACPY( 'Full', N, NRHS, BSAV, LDB, B, LDB )
IF( .NOT.PREFAC )
$ CALL DLASET( 'Full', 2*KL+KU+1, N, ZERO, ZERO,
$ AFB, LDAFB )
CALL DLASET( 'Full', N, NRHS, ZERO, ZERO, X, LDB )
IF( IEQUED.GT.1 .AND. N.GT.0 ) THEN
*
* Equilibrate the matrix if FACT = 'F' and
* EQUED = 'R', 'C', or 'B'.
*
CALL DLAQGB( N, N, KL, KU, A, LDA, S, S( N+1 ),
$ ROWCND, COLCND, AMAX, EQUED )
END IF
*
* Solve the system and compute the condition number
* and error bounds using DGBSVXX.
*
SRNAMT = 'DGBSVXX'
N_ERR_BNDS = 3
CALL DGBSVXX( FACT, TRANS, N, KL, KU, NRHS, A, LDA,
$ AFB, LDAFB, IWORK, EQUED, S, S( N+1 ), B, LDB,
$ X, LDB, RCOND, RPVGRW_SVXX, BERR, N_ERR_BNDS,
$ ERRBNDS_N, ERRBNDS_C, 0, ZERO, WORK,
$ IWORK( N+1 ), INFO )
*
* Check the error code from DGBSVXX.
*
IF( INFO.EQ.N+1 ) GOTO 90
IF( INFO.NE.IZERO ) THEN
CALL ALAERH( PATH, 'DGBSVXX', INFO, IZERO,
$ FACT // TRANS, N, N, -1, -1, NRHS,
$ IMAT, NFAIL, NERRS, NOUT )
GOTO 90
END IF
*
* Compare rpvgrw_svxx from DGBSVXX with the computed
* reciprocal pivot growth factor RPVGRW
*
IF ( INFO .GT. 0 .AND. INFO .LT. N+1 ) THEN
RPVGRW = DLA_GBRPVGRW(N, KL, KU, INFO, A, LDA,
$ AFB, LDAFB)
ELSE
RPVGRW = DLA_GBRPVGRW(N, KL, KU, N, A, LDA,
$ AFB, LDAFB)
ENDIF
RESULT( 7 ) = ABS( RPVGRW-rpvgrw_svxx ) /
$ MAX( rpvgrw_svxx, RPVGRW ) /
$ DLAMCH( 'E' )
*
IF( .NOT.PREFAC ) THEN
*
* Reconstruct matrix from factors and compute
* residual.
*
CALL DGBT01( N, N, KL, KU, A, LDA, AFB, LDAFB,
$ IWORK, WORK, RESULT( 1 ) )
K1 = 1
ELSE
K1 = 2
END IF
*
IF( INFO.EQ.0 ) THEN
TRFCON = .FALSE.
*
* Compute residual of the computed solution.
*
CALL DLACPY( 'Full', N, NRHS, BSAV, LDB, WORK,
$ LDB )
CALL DGBT02( TRANS, N, N, KL, KU, NRHS, ASAV,
$ LDA, X, LDB, WORK, LDB,
$ RESULT( 2 ) )
*
* Check solution from generated exact solution.
*
IF( NOFACT .OR. ( PREFAC .AND. LSAME( EQUED,
$ 'N' ) ) ) THEN
CALL DGET04( N, NRHS, X, LDB, XACT, LDB,
$ RCONDC, RESULT( 3 ) )
ELSE
IF( ITRAN.EQ.1 ) THEN
ROLDC = ROLDO
ELSE
ROLDC = ROLDI
END IF
CALL DGET04( N, NRHS, X, LDB, XACT, LDB,
$ ROLDC, RESULT( 3 ) )
END IF
ELSE
TRFCON = .TRUE.
END IF
*
* Compare RCOND from DGBSVXX with the computed value
* in RCONDC.
*
RESULT( 6 ) = DGET06( RCOND, RCONDC )
*
* Print information about the tests that did not pass
* the threshold.
*
IF( .NOT.TRFCON ) THEN
DO 45 K = K1, NTESTS
IF( RESULT( K ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )'DGBSVXX',
$ FACT, TRANS, N, KL, KU, EQUED,
$ IMAT, K, RESULT( K )
ELSE
WRITE( NOUT, FMT = 9996 )'DGBSVXX',
$ FACT, TRANS, N, KL, KU, IMAT, K,
$ RESULT( K )
END IF
NFAIL = NFAIL + 1
END IF
45 CONTINUE
NRUN = NRUN + 7 - K1
ELSE
IF( RESULT( 1 ).GE.THRESH .AND. .NOT.PREFAC )
$ THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )'DGBSVXX', FACT,
$ TRANS, N, KL, KU, EQUED, IMAT, 1,
$ RESULT( 1 )
ELSE
WRITE( NOUT, FMT = 9996 )'DGBSVXX', FACT,
$ TRANS, N, KL, KU, IMAT, 1,
$ RESULT( 1 )
END IF
NFAIL = NFAIL + 1
NRUN = NRUN + 1
END IF
IF( RESULT( 6 ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )'DGBSVXX', FACT,
$ TRANS, N, KL, KU, EQUED, IMAT, 6,
$ RESULT( 6 )
ELSE
WRITE( NOUT, FMT = 9996 )'DGBSVXX', FACT,
$ TRANS, N, KL, KU, IMAT, 6,
$ RESULT( 6 )
END IF
NFAIL = NFAIL + 1
NRUN = NRUN + 1
END IF
IF( RESULT( 7 ).GE.THRESH ) THEN
IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
$ CALL ALADHD( NOUT, PATH )
IF( PREFAC ) THEN
WRITE( NOUT, FMT = 9995 )'DGBSVXX', FACT,
$ TRANS, N, KL, KU, EQUED, IMAT, 7,
$ RESULT( 7 )
ELSE
WRITE( NOUT, FMT = 9996 )'DGBSVXX', FACT,
$ TRANS, N, KL, KU, IMAT, 7,
$ RESULT( 7 )
END IF
NFAIL = NFAIL + 1
NRUN = NRUN + 1
END IF
*
END IF
90 CONTINUE
100 CONTINUE
110 CONTINUE
120 CONTINUE
130 CONTINUE
140 CONTINUE
150 CONTINUE
*
* Print a summary of the results.
*
CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
* Test Error Bounds from DGBSVXX
CALL DEBCHVXX(THRESH, PATH)
9999 FORMAT( ' *** In DDRVGB, LA=', I5, ' is too small for N=', I5,
$ ', KU=', I5, ', KL=', I5, / ' ==> Increase LA to at least ',
$ I5 )
9998 FORMAT( ' *** In DDRVGB, LAFB=', I5, ' is too small for N=', I5,
$ ', KU=', I5, ', KL=', I5, /
$ ' ==> Increase LAFB to at least ', I5 )
9997 FORMAT( 1X, A, ', N=', I5, ', KL=', I5, ', KU=', I5, ', type ',
$ I1, ', test(', I1, ')=', G12.5 )
9996 FORMAT( 1X, A, '( ''', A1, ''',''', A1, ''',', I5, ',', I5, ',',
$ I5, ',...), type ', I1, ', test(', I1, ')=', G12.5 )
9995 FORMAT( 1X, A, '( ''', A1, ''',''', A1, ''',', I5, ',', I5, ',',
$ I5, ',...), EQUED=''', A1, ''', type ', I1, ', test(', I1,
$ ')=', G12.5 )
*
RETURN
*
* End of DDRVGB
*
END
|
