192 lines
4.8 KiB
Fortran
192 lines
4.8 KiB
Fortran
*> \brief \b DCHKGL
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE DCHKGL( NIN, NOUT )
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*
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* .. Scalar Arguments ..
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* INTEGER NIN, NOUT
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> DCHKGL tests DGGBAL, a routine for balancing a matrix pair (A, B).
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] NIN
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*> \verbatim
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*> NIN is INTEGER
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*> The logical unit number for input. NIN > 0.
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*> \endverbatim
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*>
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*> \param[in] NOUT
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*> \verbatim
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*> NOUT is INTEGER
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*> The logical unit number for output. NOUT > 0.
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \date November 2011
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*
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*> \ingroup double_eig
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*
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* =====================================================================
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SUBROUTINE DCHKGL( NIN, NOUT )
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*
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* -- LAPACK test routine (version 3.4.0) --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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* November 2011
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*
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* .. Scalar Arguments ..
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INTEGER NIN, NOUT
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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INTEGER LDA, LDB, LWORK
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PARAMETER ( LDA = 20, LDB = 20, LWORK = 6*LDA )
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DOUBLE PRECISION ZERO
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PARAMETER ( ZERO = 0.0D+0 )
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* ..
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* .. Local Scalars ..
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INTEGER I, IHI, IHIIN, ILO, ILOIN, INFO, J, KNT, N,
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$ NINFO
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DOUBLE PRECISION ANORM, BNORM, EPS, RMAX, VMAX
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* ..
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* .. Local Arrays ..
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INTEGER LMAX( 5 )
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DOUBLE PRECISION A( LDA, LDA ), AIN( LDA, LDA ), B( LDB, LDB ),
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$ BIN( LDB, LDB ), LSCALE( LDA ), LSCLIN( LDA ),
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$ RSCALE( LDA ), RSCLIN( LDA ), WORK( LWORK )
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* ..
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* .. External Functions ..
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DOUBLE PRECISION DLAMCH, DLANGE
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EXTERNAL DLAMCH, DLANGE
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* ..
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* .. External Subroutines ..
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EXTERNAL DGGBAL
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS, MAX
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* ..
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* .. Executable Statements ..
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*
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LMAX( 1 ) = 0
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LMAX( 2 ) = 0
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LMAX( 3 ) = 0
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NINFO = 0
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KNT = 0
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RMAX = ZERO
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*
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EPS = DLAMCH( 'Precision' )
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*
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10 CONTINUE
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*
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READ( NIN, FMT = * )N
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IF( N.EQ.0 )
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$ GO TO 90
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DO 20 I = 1, N
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READ( NIN, FMT = * )( A( I, J ), J = 1, N )
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20 CONTINUE
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*
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DO 30 I = 1, N
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READ( NIN, FMT = * )( B( I, J ), J = 1, N )
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30 CONTINUE
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*
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READ( NIN, FMT = * )ILOIN, IHIIN
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DO 40 I = 1, N
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READ( NIN, FMT = * )( AIN( I, J ), J = 1, N )
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40 CONTINUE
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DO 50 I = 1, N
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READ( NIN, FMT = * )( BIN( I, J ), J = 1, N )
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50 CONTINUE
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*
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READ( NIN, FMT = * )( LSCLIN( I ), I = 1, N )
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READ( NIN, FMT = * )( RSCLIN( I ), I = 1, N )
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*
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ANORM = DLANGE( 'M', N, N, A, LDA, WORK )
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BNORM = DLANGE( 'M', N, N, B, LDB, WORK )
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*
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KNT = KNT + 1
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*
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CALL DGGBAL( 'B', N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE,
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$ WORK, INFO )
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*
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IF( INFO.NE.0 ) THEN
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NINFO = NINFO + 1
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LMAX( 1 ) = KNT
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END IF
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*
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IF( ILO.NE.ILOIN .OR. IHI.NE.IHIIN ) THEN
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NINFO = NINFO + 1
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LMAX( 2 ) = KNT
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END IF
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*
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VMAX = ZERO
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DO 70 I = 1, N
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DO 60 J = 1, N
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VMAX = MAX( VMAX, ABS( A( I, J )-AIN( I, J ) ) )
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VMAX = MAX( VMAX, ABS( B( I, J )-BIN( I, J ) ) )
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60 CONTINUE
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70 CONTINUE
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*
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DO 80 I = 1, N
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VMAX = MAX( VMAX, ABS( LSCALE( I )-LSCLIN( I ) ) )
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VMAX = MAX( VMAX, ABS( RSCALE( I )-RSCLIN( I ) ) )
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80 CONTINUE
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*
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VMAX = VMAX / ( EPS*MAX( ANORM, BNORM ) )
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*
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IF( VMAX.GT.RMAX ) THEN
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LMAX( 3 ) = KNT
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RMAX = VMAX
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END IF
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*
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GO TO 10
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*
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90 CONTINUE
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*
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WRITE( NOUT, FMT = 9999 )
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9999 FORMAT( 1X, '.. test output of DGGBAL .. ' )
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*
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WRITE( NOUT, FMT = 9998 )RMAX
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9998 FORMAT( 1X, 'value of largest test error = ', D12.3 )
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WRITE( NOUT, FMT = 9997 )LMAX( 1 )
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9997 FORMAT( 1X, 'example number where info is not zero = ', I4 )
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WRITE( NOUT, FMT = 9996 )LMAX( 2 )
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9996 FORMAT( 1X, 'example number where ILO or IHI wrong = ', I4 )
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WRITE( NOUT, FMT = 9995 )LMAX( 3 )
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9995 FORMAT( 1X, 'example number having largest error = ', I4 )
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WRITE( NOUT, FMT = 9994 )NINFO
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9994 FORMAT( 1X, 'number of examples where info is not 0 = ', I4 )
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WRITE( NOUT, FMT = 9993 )KNT
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9993 FORMAT( 1X, 'total number of examples tested = ', I4 )
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*
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RETURN
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*
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* End of DCHKGL
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*
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END
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