192 lines
4.8 KiB
Fortran
192 lines
4.8 KiB
Fortran
*> \brief \b DCHKGL
|
|
*
|
|
* =========== DOCUMENTATION ===========
|
|
*
|
|
* Online html documentation available at
|
|
* http://www.netlib.org/lapack/explore-html/
|
|
*
|
|
* Definition:
|
|
* ===========
|
|
*
|
|
* SUBROUTINE DCHKGL( NIN, NOUT )
|
|
*
|
|
* .. Scalar Arguments ..
|
|
* INTEGER NIN, NOUT
|
|
* ..
|
|
*
|
|
*
|
|
*> \par Purpose:
|
|
* =============
|
|
*>
|
|
*> \verbatim
|
|
*>
|
|
*> DCHKGL tests DGGBAL, a routine for balancing a matrix pair (A, B).
|
|
*> \endverbatim
|
|
*
|
|
* Arguments:
|
|
* ==========
|
|
*
|
|
*> \param[in] NIN
|
|
*> \verbatim
|
|
*> NIN is INTEGER
|
|
*> The logical unit number for input. NIN > 0.
|
|
*> \endverbatim
|
|
*>
|
|
*> \param[in] NOUT
|
|
*> \verbatim
|
|
*> NOUT is INTEGER
|
|
*> The logical unit number for output. NOUT > 0.
|
|
*> \endverbatim
|
|
*
|
|
* Authors:
|
|
* ========
|
|
*
|
|
*> \author Univ. of Tennessee
|
|
*> \author Univ. of California Berkeley
|
|
*> \author Univ. of Colorado Denver
|
|
*> \author NAG Ltd.
|
|
*
|
|
*> \date December 2016
|
|
*
|
|
*> \ingroup double_eig
|
|
*
|
|
* =====================================================================
|
|
SUBROUTINE DCHKGL( NIN, NOUT )
|
|
*
|
|
* -- LAPACK test routine (version 3.7.0) --
|
|
* -- LAPACK is a software package provided by Univ. of Tennessee, --
|
|
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
|
|
* December 2016
|
|
*
|
|
* .. Scalar Arguments ..
|
|
INTEGER NIN, NOUT
|
|
* ..
|
|
*
|
|
* =====================================================================
|
|
*
|
|
* .. Parameters ..
|
|
INTEGER LDA, LDB, LWORK
|
|
PARAMETER ( LDA = 20, LDB = 20, LWORK = 6*LDA )
|
|
DOUBLE PRECISION ZERO
|
|
PARAMETER ( ZERO = 0.0D+0 )
|
|
* ..
|
|
* .. Local Scalars ..
|
|
INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
|
|
$ NINFO
|
|
DOUBLE PRECISION ANORM, BNORM, EPS, RMAX, VMAX
|
|
* ..
|
|
* .. Local Arrays ..
|
|
INTEGER LMAX( 5 )
|
|
DOUBLE PRECISION A( LDA, LDA ), AIN( LDA, LDA ), B( LDB, LDB ),
|
|
$ BIN( LDB, LDB ), LSCALE( LDA ), LSCLIN( LDA ),
|
|
$ RSCALE( LDA ), RSCLIN( LDA ), WORK( LWORK )
|
|
* ..
|
|
* .. External Functions ..
|
|
DOUBLE PRECISION DLAMCH, DLANGE
|
|
EXTERNAL DLAMCH, DLANGE
|
|
* ..
|
|
* .. External Subroutines ..
|
|
EXTERNAL DGGBAL
|
|
* ..
|
|
* .. Intrinsic Functions ..
|
|
INTRINSIC ABS, MAX
|
|
* ..
|
|
* .. Executable Statements ..
|
|
*
|
|
LMAX( 1 ) = 0
|
|
LMAX( 2 ) = 0
|
|
LMAX( 3 ) = 0
|
|
NINFO = 0
|
|
KNT = 0
|
|
RMAX = ZERO
|
|
*
|
|
EPS = DLAMCH( 'Precision' )
|
|
*
|
|
10 CONTINUE
|
|
*
|
|
READ( NIN, FMT = * )N
|
|
IF( N.EQ.0 )
|
|
$ GO TO 90
|
|
DO 20 I = 1, N
|
|
READ( NIN, FMT = * )( A( I, J ), J = 1, N )
|
|
20 CONTINUE
|
|
*
|
|
DO 30 I = 1, N
|
|
READ( NIN, FMT = * )( B( I, J ), J = 1, N )
|
|
30 CONTINUE
|
|
*
|
|
READ( NIN, FMT = * )ILOIN, IHIIN
|
|
DO 40 I = 1, N
|
|
READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
|
|
40 CONTINUE
|
|
DO 50 I = 1, N
|
|
READ( NIN, FMT = * )( BIN( I, J ), J = 1, N )
|
|
50 CONTINUE
|
|
*
|
|
READ( NIN, FMT = * )( LSCLIN( I ), I = 1, N )
|
|
READ( NIN, FMT = * )( RSCLIN( I ), I = 1, N )
|
|
*
|
|
ANORM = DLANGE( 'M', N, N, A, LDA, WORK )
|
|
BNORM = DLANGE( 'M', N, N, B, LDB, WORK )
|
|
*
|
|
KNT = KNT + 1
|
|
*
|
|
CALL DGGBAL( 'B', N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE,
|
|
$ WORK, INFO )
|
|
*
|
|
IF( INFO.NE.0 ) THEN
|
|
NINFO = NINFO + 1
|
|
LMAX( 1 ) = KNT
|
|
END IF
|
|
*
|
|
IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
|
|
NINFO = NINFO + 1
|
|
LMAX( 2 ) = KNT
|
|
END IF
|
|
*
|
|
VMAX = ZERO
|
|
DO 70 I = 1, N
|
|
DO 60 J = 1, N
|
|
VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) )
|
|
VMAX = MAX( VMAX, ABS( B( I, J )-BIN( I, J ) ) )
|
|
60 CONTINUE
|
|
70 CONTINUE
|
|
*
|
|
DO 80 I = 1, N
|
|
VMAX = MAX( VMAX, ABS( LSCALE( I )-LSCLIN( I ) ) )
|
|
VMAX = MAX( VMAX, ABS( RSCALE( I )-RSCLIN( I ) ) )
|
|
80 CONTINUE
|
|
*
|
|
VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) )
|
|
*
|
|
IF( VMAX.GT.RMAX ) THEN
|
|
LMAX( 3 ) = KNT
|
|
RMAX = VMAX
|
|
END IF
|
|
*
|
|
GO TO 10
|
|
*
|
|
90 CONTINUE
|
|
*
|
|
WRITE( NOUT, FMT = 9999 )
|
|
9999 FORMAT( 1X, '.. test output of DGGBAL .. ' )
|
|
*
|
|
WRITE( NOUT, FMT = 9998 )RMAX
|
|
9998 FORMAT( 1X, 'value of largest test error = ', D12.3 )
|
|
WRITE( NOUT, FMT = 9997 )LMAX( 1 )
|
|
9997 FORMAT( 1X, 'example number where info is not zero = ', I4 )
|
|
WRITE( NOUT, FMT = 9996 )LMAX( 2 )
|
|
9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 )
|
|
WRITE( NOUT, FMT = 9995 )LMAX( 3 )
|
|
9995 FORMAT( 1X, 'example number having largest error = ', I4 )
|
|
WRITE( NOUT, FMT = 9994 )NINFO
|
|
9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
|
|
WRITE( NOUT, FMT = 9993 )KNT
|
|
9993 FORMAT( 1X, 'total number of examples tested = ', I4 )
|
|
*
|
|
RETURN
|
|
*
|
|
* End of DCHKGL
|
|
*
|
|
END
|