/[MITgcm]/MITgcm/model/inc/PARAMS.h
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revision 1.221 by jmc, Thu Aug 21 19:35:21 2008 UTC revision 1.230 by jmc, Thu Oct 15 01:05:54 2009 UTC
# Line 46  C     bathyFile       :: File containing Line 46  C     bathyFile       :: File containing
46  C                        is taken from inline function.  C                        is taken from inline function.
47  C     topoFile        :: File containing the topography of the surface (unit=m)  C     topoFile        :: File containing the topography of the surface (unit=m)
48  C                        (mainly used for the atmosphere = ground height).  C                        (mainly used for the atmosphere = ground height).
 C     shelfIceFile    :: File containing the topography of the shelfice draught  
 C                        (unit=m)  
49  C     hydrogThetaFile :: File containing initial hydrographic data (3-D)  C     hydrogThetaFile :: File containing initial hydrographic data (3-D)
50  C                        for potential temperature.  C                        for potential temperature.
51  C     hydrogSaltFile  :: File containing initial hydrographic data (3-D)  C     hydrogSaltFile  :: File containing initial hydrographic data (3-D)
# Line 79  C     the_run_name    :: string identify Line 77  C     the_run_name    :: string identify
77       &                tRefFile, sRefFile, rhoRefFile,       &                tRefFile, sRefFile, rhoRefFile,
78       &                delRFile, delRcFile,       &                delRFile, delRcFile,
79       &                delXFile, delYFile, horizGridFile,       &                delXFile, delYFile, horizGridFile,
80       &                bathyFile, topoFile, shelfIceFile,       &                bathyFile, topoFile,
81       &                hydrogThetaFile, hydrogSaltFile, diffKrFile,       &                hydrogThetaFile, hydrogSaltFile, diffKrFile,
82       &                zonalWindFile, meridWindFile, thetaClimFile,       &                zonalWindFile, meridWindFile, thetaClimFile,
83       &                saltClimFile,       &                saltClimFile,
# Line 102  C     the_run_name    :: string identify Line 100  C     the_run_name    :: string identify
100        CHARACTER*(MAX_LEN_FNAM) delXFile        CHARACTER*(MAX_LEN_FNAM) delXFile
101        CHARACTER*(MAX_LEN_FNAM) delYFile        CHARACTER*(MAX_LEN_FNAM) delYFile
102        CHARACTER*(MAX_LEN_FNAM) horizGridFile        CHARACTER*(MAX_LEN_FNAM) horizGridFile
103        CHARACTER*(MAX_LEN_FNAM) bathyFile, topoFile, shelfIceFile        CHARACTER*(MAX_LEN_FNAM) bathyFile, topoFile
104        CHARACTER*(MAX_LEN_FNAM) hydrogThetaFile, hydrogSaltFile        CHARACTER*(MAX_LEN_FNAM) hydrogThetaFile, hydrogSaltFile
105        CHARACTER*(MAX_LEN_FNAM) diffKrFile        CHARACTER*(MAX_LEN_FNAM) diffKrFile
106        CHARACTER*(MAX_LEN_FNAM) zonalWindFile        CHARACTER*(MAX_LEN_FNAM) zonalWindFile
# Line 145  C     nonlinFreeSurf      :: option rela Line 143  C     nonlinFreeSurf      :: option rela
143  C                           =0 Linear free surface ; >0 Non-linear  C                           =0 Linear free surface ; >0 Non-linear
144  C     select_rStar        :: option related to r* vertical coordinate  C     select_rStar        :: option related to r* vertical coordinate
145  C                           =0 (default) use r coord. ; > 0 use r*  C                           =0 (default) use r coord. ; > 0 use r*
146    C     selectAddFluid      :: option to add mass source/sink of fluid in the interior
147    C                            (3-D generalisation of oceanic real-fresh water flux)
148    C                           =0 off ; =1 add fluid ; =-1 virtual flux (no mass added)
149  C     momForcingOutAB     :: =1: take momentum forcing contribution  C     momForcingOutAB     :: =1: take momentum forcing contribution
150  C                           out of (=0: in) Adams-Bashforth time stepping.  C                           out of (=0: in) Adams-Bashforth time stepping.
151  C     tracForcingOutAB    :: =1: take tracer (Temp,Salt,pTracers) forcing contribution  C     tracForcingOutAB    :: =1: take tracer (Temp,Salt,pTracers) forcing contribution
# Line 168  C     debugLevel          :: debug level Line 169  C     debugLevel          :: debug level
169       &        writeStatePrec,       &        writeStatePrec,
170       &        writeBinaryPrec, readBinaryPrec,       &        writeBinaryPrec, readBinaryPrec,
171       &        nonlinFreeSurf, select_rStar,       &        nonlinFreeSurf, select_rStar,
172         &        selectAddFluid,
173       &        momForcingOutAB, tracForcingOutAB,       &        momForcingOutAB, tracForcingOutAB,
174       &        tempAdvScheme, tempVertAdvScheme,       &        tempAdvScheme, tempVertAdvScheme,
175       &        saltAdvScheme, saltVertAdvScheme,       &        saltAdvScheme, saltVertAdvScheme,
# Line 186  C     debugLevel          :: debug level Line 188  C     debugLevel          :: debug level
188        INTEGER readBinaryPrec        INTEGER readBinaryPrec
189        INTEGER nonlinFreeSurf        INTEGER nonlinFreeSurf
190        INTEGER select_rStar        INTEGER select_rStar
191          INTEGER selectAddFluid
192        INTEGER momForcingOutAB, tracForcingOutAB        INTEGER momForcingOutAB, tracForcingOutAB
193        INTEGER tempAdvScheme, tempVertAdvScheme        INTEGER tempAdvScheme, tempVertAdvScheme
194        INTEGER saltAdvScheme, saltVertAdvScheme        INTEGER saltAdvScheme, saltVertAdvScheme
# Line 259  C     saltAdvection  :: Flag which turns Line 262  C     saltAdvection  :: Flag which turns
262  C     saltIsActiveTr :: Salinity  is a dynamically active tracer  C     saltIsActiveTr :: Salinity  is a dynamically active tracer
263  C     saltForcing    :: Flag which turns external forcing of salinity on  C     saltForcing    :: Flag which turns external forcing of salinity on
264  C                       and off.  C                       and off.
265    C     maskIniTemp    :: apply mask to initial Pot.Temp.
266    C     maskIniSalt    :: apply mask to initial salinity
267    C     checkIniTemp   :: check for points with identically zero initial Pot.Temp.
268    C     checkIniSalt   :: check for points with identically zero initial salinity
269  C     useRealFreshWaterFlux :: if True (=Natural BCS), treats P+R-E flux  C     useRealFreshWaterFlux :: if True (=Natural BCS), treats P+R-E flux
270  C                         as a real Fresh Water (=> changes the Sea Level)  C                         as a real Fresh Water (=> changes the Sea Level)
271  C                         if F, converts P+R-E to salt flux (no SL effect)  C                         if F, converts P+R-E to salt flux (no SL effect)
 C     useAddFluid    :: add mass source or sink of fluid in the interior  
272  C- Time-stepping params:  C- Time-stepping params:
273  C     rigidLid            :: Set to true to use rigid lid  C     rigidLid            :: Set to true to use rigid lid
274  C     implicitFreeSurface :: Set to true to use implicit free surface  C     implicitFreeSurface :: Set to true to use implicit free surface
# Line 337  C                        & Last iteratio Line 343  C                        & Last iteratio
343       & momStepping, tempStepping, saltStepping,       & momStepping, tempStepping, saltStepping,
344       & tempAdvection, tempIsActiveTr, tempForcing,       & tempAdvection, tempIsActiveTr, tempForcing,
345       & saltAdvection, saltIsActiveTr, saltForcing,       & saltAdvection, saltIsActiveTr, saltForcing,
346       & useRealFreshWaterFlux, useAddFluid,       & maskIniTemp, maskIniSalt, checkIniTemp, checkIniSalt,
347         & useRealFreshWaterFlux,
348       & rigidLid, implicitFreeSurface, exactConserv, linFSConserveTr,       & rigidLid, implicitFreeSurface, exactConserv, linFSConserveTr,
349       & uniformLin_PhiSurf,       & uniformLin_PhiSurf,
350       & quasiHydrostatic, nonHydrostatic,       & quasiHydrostatic, nonHydrostatic,
# Line 385  C                        & Last iteratio Line 392  C                        & Last iteratio
392        LOGICAL saltAdvection        LOGICAL saltAdvection
393        LOGICAL saltIsActiveTr        LOGICAL saltIsActiveTr
394        LOGICAL saltForcing        LOGICAL saltForcing
395          LOGICAL maskIniTemp
396          LOGICAL maskIniSalt
397          LOGICAL checkIniTemp
398          LOGICAL checkIniSalt
399        LOGICAL useRealFreshWaterFlux        LOGICAL useRealFreshWaterFlux
       LOGICAL useAddFluid  
400        LOGICAL useFullLeith        LOGICAL useFullLeith
401        LOGICAL useStrainTensionVisc        LOGICAL useStrainTensionVisc
402        LOGICAL useAreaViscLength        LOGICAL useAreaViscLength
# Line 479  C     rhoConst  :: Vertically constant r Line 489  C     rhoConst  :: Vertically constant r
489  C     rhoFacC   :: normalized (by rhoConst) reference density at cell-Center  C     rhoFacC   :: normalized (by rhoConst) reference density at cell-Center
490  C     rhoFacF   :: normalized (by rhoConst) reference density at cell-interFace  C     rhoFacF   :: normalized (by rhoConst) reference density at cell-interFace
491  C     rhoConstFresh :: Constant reference density for fresh water (rain)  C     rhoConstFresh :: Constant reference density for fresh water (rain)
492    C     rho1Ref   :: reference vertical profile for density
493  C     tRef      :: reference vertical profile for potential temperature  C     tRef      :: reference vertical profile for potential temperature
494  C     sRef      :: reference vertical profile for salinity/specific humidity  C     sRef      :: reference vertical profile for salinity/specific humidity
495  C     phiRef    :: reference potential (pressure/rho, geopotential) profile  C     phiRef    :: reference potential (pressure/rho, geopotential) profile
# Line 499  C     rUnit2mass :: units conversion fac Line 510  C     rUnit2mass :: units conversion fac
510  C                :: from vertical r-coordinate unit to mass per unit area [kg/m2].  C                :: from vertical r-coordinate unit to mass per unit area [kg/m2].
511  C                :: z-coord: = rhoConst  ( [m] * rho = [kg/m2] ) ;  C                :: z-coord: = rhoConst  ( [m] * rho = [kg/m2] ) ;
512  C                :: p-coord: = 1/gravity ( [Pa] /  g = [kg/m2] ) ;  C                :: p-coord: = 1/gravity ( [Pa] /  g = [kg/m2] ) ;
513  C     phiMin    :: Latitude of southern most cell face.  C     xgOrigin   :: Origin of the X-axis (Cartesian Grid) / Longitude of Western
514  C     thetaMin  :: Longitude of western most cell face (this  C                :: most cell face (Lat-Lon grid) (Note: this is an "inert"
515  C                 is an "inert" parameter but it is included  C                :: parameter but it makes geographical references simple.)
516  C                 to make geographical references simple.)  C     ygOrigin   :: Origin of the Y-axis (Cartesian Grid) / Latitude of Southern
517  C     rSphere   :: Radius of sphere for a spherical polar grid ( m ).  C                :: most face (Lat-Lon grid).
518    C     rSphere    :: Radius of sphere for a spherical polar grid ( m ).
519  C     recip_rSphere  :: Reciprocal radius of sphere ( m ).  C     recip_rSphere  :: Reciprocal radius of sphere ( m ).
520  C     f0        :: Reference coriolis parameter ( 1/s )  C     f0         :: Reference coriolis parameter ( 1/s )
521  C                 ( Southern edge f for beta plane )  C                   ( Southern edge f for beta plane )
522  C     beta      :: df/dy ( s^-1.m^-1 )  C     beta       :: df/dy ( s^-1.m^-1 )
523  C     omega     :: Angular velocity ( rad/s )  C     omega      :: Angular velocity ( rad/s )
524  C     rotationPeriod :: Rotation period (s) (= 2.pi/omega)  C     rotationPeriod :: Rotation period (s) (= 2.pi/omega)
525  C     viscAr    :: Eddy viscosity coeff. for mixing of  C     viscArNr   :: vertical profile of Eddy viscosity coeff.
526  C                 momentum vertically ( units of r^2/s )  C                   for vertical mixing of momentum ( units of r^2/s )
527  C     viscAh    :: Eddy viscosity coeff. for mixing of  C     viscAh     :: Eddy viscosity coeff. for mixing of
528  C                 momentum laterally ( m^2/s )  C                   momentum laterally ( m^2/s )
529  C     viscAhW   :: Eddy viscosity coeff. for mixing of vertical  C     viscAhW    :: Eddy viscosity coeff. for mixing of vertical
530  C                 momentum laterally, no effect for hydrostatic  C                   momentum laterally, no effect for hydrostatic
531  C                 model, defaults to viscAh if unset ( m^2/s )  C                   model, defaults to viscAh if unset ( m^2/s )
532  C                 Not used if variable horiz. viscosity is used.  C                   Not used if variable horiz. viscosity is used.
533  C     viscA4    :: Biharmonic viscosity coeff. for mixing of  C     viscA4     :: Biharmonic viscosity coeff. for mixing of
534  C                 momentum laterally ( m^4/s )  C                   momentum laterally ( m^4/s )
535  C     viscA4W   :: Biharmonic viscosity coeff. for mixing of vertical  C     viscA4W    :: Biharmonic viscosity coeff. for mixing of vertical
536  C                 momentum laterally, no effect for hydrostatic  C                   momentum laterally, no effect for hydrostatic
537  C                 model, defaults to viscA4 if unset ( m^2/s )  C                   model, defaults to viscA4 if unset ( m^2/s )
538  C                 Not used if variable horiz. viscosity is used.  C                   Not used if variable horiz. viscosity is used.
539  C     viscAhD   :: Eddy viscosity coeff. for mixing of momentum laterally  C     viscAhD    :: Eddy viscosity coeff. for mixing of momentum laterally
540  C                  (act on Divergence part) ( m^2/s )  C                   (act on Divergence part) ( m^2/s )
541  C     viscAhZ   :: Eddy viscosity coeff. for mixing of momentum laterally  C     viscAhZ    :: Eddy viscosity coeff. for mixing of momentum laterally
542  C                  (act on Vorticity  part) ( m^2/s )  C                   (act on Vorticity  part) ( m^2/s )
543  C     viscA4D   :: Biharmonic viscosity coeff. for mixing of momentum laterally  C     viscA4D    :: Biharmonic viscosity coeff. for mixing of momentum laterally
544  C                  (act on Divergence part) ( m^4/s )  C                   (act on Divergence part) ( m^4/s )
545  C     viscA4Z   :: Biharmonic viscosity coeff. for mixing of momentum laterally  C     viscA4Z    :: Biharmonic viscosity coeff. for mixing of momentum laterally
546  C                  (act on Vorticity  part) ( m^4/s )  C                   (act on Vorticity  part) ( m^4/s )
547  C     viscC2leith  :: Leith non-dimensional viscosity factor (grad(vort))  C     viscC2leith  :: Leith non-dimensional viscosity factor (grad(vort))
548  C     viscC2leithD :: Modified Leith non-dimensional visc. factor (grad(div))  C     viscC2leithD :: Modified Leith non-dimensional visc. factor (grad(div))
549  C     viscC4leith  :: Leith non-dimensional viscosity factor (grad(vort))  C     viscC4leith  :: Leith non-dimensional viscosity factor (grad(vort))
# Line 640  C     salt_EvPrRn :: salinity of Rain & Line 652  C     salt_EvPrRn :: salinity of Rain &
652  C        (notes: a) tracer content of Rain/Evap only used if both  C        (notes: a) tracer content of Rain/Evap only used if both
653  C                     NonLin_FrSurf & useRealFreshWater are set.  C                     NonLin_FrSurf & useRealFreshWater are set.
654  C                b) use model surface (local) value if set to UNSET_RL)  C                b) use model surface (local) value if set to UNSET_RL)
655  C     hMixCrit    :: criteria for mixed-layer diagnostic  C     hMixCriteria:: criteria for mixed-layer diagnostic
656    C     dRhoSmall   :: parameter for mixed-layer diagnostic
657    C     hMixSmooth  :: Smoothing parameter for mixed-layer diag (default=0=no smoothing)
658  C     ivdc_kappa  :: implicit vertical diffusivity for convection [m^2/s]  C     ivdc_kappa  :: implicit vertical diffusivity for convection [m^2/s]
659  C     Ro_SeaLevel :: standard position of Sea-Level in "R" coordinate, used as  C     Ro_SeaLevel :: standard position of Sea-Level in "R" coordinate, used as
660  C                    starting value (k=1) for vertical coordinate (rf(1)=Ro_SeaLevel)  C                    starting value (k=1) for vertical coordinate (rf(1)=Ro_SeaLevel)
# Line 662  C     psiEuler      :: Euler angle, rota Line 676  C     psiEuler      :: Euler angle, rota
676       & delR, delRc, delX, delY,       & delR, delRc, delX, delY,
677       & deltaT, deltaTmom, dTtracerLev, deltaTfreesurf, deltaTClock,       & deltaT, deltaTmom, dTtracerLev, deltaTfreesurf, deltaTClock,
678       & abEps, alph_AB, beta_AB,       & abEps, alph_AB, beta_AB,
679       & phiMin, thetaMin, rSphere, recip_RSphere, f0, beta,       & xgOrigin, ygOrigin, rSphere, recip_RSphere, f0, beta,
680       & viscAh, viscAhW, viscAhMax,       & viscAh, viscAhW, viscAhMax,
681       & viscAhGrid, viscAhGridMax, viscAhGridMin,       & viscAhGrid, viscAhGridMax, viscAhGridMin,
682       & viscC2leith, viscC2leithD,       & viscC2leith, viscC2leithD,
# Line 671  C     psiEuler      :: Euler angle, rota Line 685  C     psiEuler      :: Euler angle, rota
685       & viscA4, viscA4W, viscA4Max,       & viscA4, viscA4W, viscA4Max,
686       & viscA4Grid, viscA4GridMax, viscA4GridMin,       & viscA4Grid, viscA4GridMax, viscA4GridMin,
687       & viscAhReMax, viscA4ReMax,       & viscAhReMax, viscA4ReMax,
688       & viscC4leith, viscC4leithD, viscAr,       & viscC4leith, viscC4leithD, viscArNr,
689       & diffKhT, diffK4T, diffKrNrT,       & diffKhT, diffK4T, diffKrNrT,
690       & diffKhS, diffK4S, diffKrNrS,       & diffKhS, diffK4S, diffKrNrS,
691       & diffKrBL79surf, diffKrBL79deep, diffKrBL79scl, diffKrBL79Ho,       & diffKrBL79surf, diffKrBL79deep, diffKrBL79scl, diffKrBL79Ho,
# Line 682  C     psiEuler      :: Euler angle, rota Line 696  C     psiEuler      :: Euler angle, rota
696       & gravity, recip_gravity, gBaro,       & gravity, recip_gravity, gBaro,
697       & rhonil, recip_rhonil, rhoConst, recip_rhoConst,       & rhonil, recip_rhonil, rhoConst, recip_rhoConst,
698       & rhoFacC, recip_rhoFacC, rhoFacF, recip_rhoFacF,       & rhoFacC, recip_rhoFacC, rhoFacF, recip_rhoFacF,
699       & rhoConstFresh, tRef, sRef, phiRef, dBdrRef,       & rhoConstFresh, rho1Ref, tRef, sRef, phiRef, dBdrRef,
700       & rVel2wUnit, wUnit2rVel, mass2rUnit, rUnit2mass,       & rVel2wUnit, wUnit2rVel, mass2rUnit, rUnit2mass,
701       & baseTime, startTime, endTime,       & baseTime, startTime, endTime,
702       & chkPtFreq, pChkPtFreq, dumpFreq, adjDumpFreq,       & chkPtFreq, pChkPtFreq, dumpFreq, adjDumpFreq,
# Line 693  C     psiEuler      :: Euler angle, rota Line 707  C     psiEuler      :: Euler angle, rota
707       & externForcingCycle, externForcingPeriod,       & externForcingCycle, externForcingPeriod,
708       & convertFW2Salt, temp_EvPrRn, salt_EvPrRn,       & convertFW2Salt, temp_EvPrRn, salt_EvPrRn,
709       & hFacMinDr, hFacMinDp,       & hFacMinDr, hFacMinDp,
710       & ivdc_kappa, hMixCriteria, Ro_SeaLevel,       & ivdc_kappa, hMixCriteria, dRhoSmall, hMixSmooth, Ro_SeaLevel,
711       & sideDragFactor, bottomDragLinear, bottomDragQuadratic, nh_Am2,       & sideDragFactor, bottomDragLinear, bottomDragQuadratic, nh_Am2,
712       & smoothAbsFuncRange,       & smoothAbsFuncRange,
713       & tCylIn, tCylOut,       & tCylIn, tCylOut,
# Line 713  C     psiEuler      :: Euler angle, rota Line 727  C     psiEuler      :: Euler angle, rota
727        _RL dTtracerLev(Nr)        _RL dTtracerLev(Nr)
728        _RL deltaTfreesurf        _RL deltaTfreesurf
729        _RL abEps, alph_AB, beta_AB        _RL abEps, alph_AB, beta_AB
730        _RL phiMin        _RL xgOrigin
731        _RL thetaMin        _RL ygOrigin
732        _RL rSphere        _RL rSphere
733        _RL recip_rSphere        _RL recip_rSphere
734        _RL f0        _RL f0
# Line 728  C     psiEuler      :: Euler angle, rota Line 742  C     psiEuler      :: Euler angle, rota
742        _RL hFacInf        _RL hFacInf
743        _RL hFacSup        _RL hFacSup
744        _RL beta        _RL beta
745        _RL viscAr        _RL viscArNr(Nr)
746        _RL viscAh        _RL viscAh
747        _RL viscAhW        _RL viscAhW
748        _RL viscAhD        _RL viscAhD
# Line 775  C     psiEuler      :: Euler angle, rota Line 789  C     psiEuler      :: Euler angle, rota
789        _RL rhoFacC(Nr),   recip_rhoFacC(Nr)        _RL rhoFacC(Nr),   recip_rhoFacC(Nr)
790        _RL rhoFacF(Nr+1), recip_rhoFacF(Nr+1)        _RL rhoFacF(Nr+1), recip_rhoFacF(Nr+1)
791        _RL rhoConstFresh        _RL rhoConstFresh
792          _RL rho1Ref(Nr)
793        _RL tRef(Nr)        _RL tRef(Nr)
794        _RL sRef(Nr)        _RL sRef(Nr)
795        _RL phiRef(2*Nr+1)        _RL phiRef(2*Nr+1)
# Line 813  C     psiEuler      :: Euler angle, rota Line 828  C     psiEuler      :: Euler angle, rota
828        _RL salt_EvPrRn        _RL salt_EvPrRn
829        _RL ivdc_kappa        _RL ivdc_kappa
830        _RL hMixCriteria        _RL hMixCriteria
831          _RL dRhoSmall
832          _RL hMixSmooth
833        _RL Ro_SeaLevel        _RL Ro_SeaLevel
834        _RL sideDragFactor        _RL sideDragFactor
835        _RL bottomDragLinear        _RL bottomDragLinear
# Line 885  C Logical flags for selecting packages Line 902  C Logical flags for selecting packages
902        LOGICAL useGridAlt        LOGICAL useGridAlt
903        LOGICAL useDiagnostics        LOGICAL useDiagnostics
904        LOGICAL useREGRID        LOGICAL useREGRID
905          LOGICAL useLayers
906        LOGICAL useMNC        LOGICAL useMNC
907        LOGICAL useRunClock        LOGICAL useRunClock
908        LOGICAL useEMBED_FILES        LOGICAL useEMBED_FILES
# Line 898  C Logical flags for selecting packages Line 916  C Logical flags for selecting packages
916       &        usePTRACERS, useGCHEM, useRBCS, useOffLine, useMATRIX,       &        usePTRACERS, useGCHEM, useRBCS, useOffLine, useMATRIX,
917       &        useSEAICE, useSALT_PLUME, useShelfIce, useThSIce,       &        useSEAICE, useSALT_PLUME, useShelfIce, useThSIce,
918       &        useATM2D, useAIM, useLand, useFizhi, useGridAlt,       &        useATM2D, useAIM, useLand, useFizhi, useGridAlt,
919       &        useDiagnostics, useREGRID, useMNC,       &        useDiagnostics, useREGRID, useLayers, useMNC,
920       &        useRunClock, useEMBED_FILES,       &        useRunClock, useEMBED_FILES,
921       &        useMYPACKAGE       &        useMYPACKAGE
922  CEH3 ;;; Local Variables: ***  CEH3 ;;; Local Variables: ***
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