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!                     version 3; Last Modified: May 7, 2008.
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!
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C

      subroutine abal(ppsi,pchi,pvort,ldhelm) 1,13
*
***s/r abal  - Adjoint of lbal.
*            - In:  Sensitivitiy of (Psi,Chi,T,q,ps)
*            - Out: Sensitivitiy of (Psi,Chiu,Tu,q,psu)
*
*Author  : Luc Fillion - CGD/NCAR - Jul 99
*Revision: Luc Fillion  - MSC- 29 Aug 2005 - Add diabatic forcing term
*
*     -------------------
**    Purpose: Used for LA-XD-Var analysis
*
*Arguments
*     none
*
      implicit none
      logical ldhelm
      real*8 ppsi(ni,nflev,nj)
      real*8 pchi(ni,nflev,nj)
      real*8 pvort(ni,nflev,nj)
*
#include "taglam4d.cdk"
#include "comdim.cdk"
#include "comcst.cdk"
#include "comct0.cdk"
#include "comcva.cdk"
#include "comsim.cdk"
#include "comgd0.cdk"
#include "comcorr.cdk"
#include "compdg.cdk"
#include "comfftla.cdk"
!
!
      logical llmass,llchib,lladiab,llconv,llcond
      logical llfplane
      integer ji,jj,jk,ipt,jpt,jla,ik,jband,jm,ila
      integer jk1,jk2
      integer jrow,jcol,nim,njm,nijkm
      integer idim
      real*8 zcoriolis,zscalt
      real*8 zgdpsi(ni,nflev,nj)
      real*8 zgdchib(ni,nflev,nj)
      real*8 zpsiomeg(ni,nflev,nj)
      real*8 zomega(ni,nflev,nj)
      real*8 ztt(ni,nflev,nj)
      real*8 zq(ni,nflev,nj)
      real*8 zp(ni,nflev,nj)
      real*8 zt0(ni,nflev,nj)
      real*8 zps0(ni,nj)
!
      real*8 zsppb(nla,2,nflev)
      real*8 zspt0(nla,2,nflev)
      real*8 zsps0(nla,2)
!
!!
      llmass=.true.
      llfplane=.true.
      llchib=.false.
      if(nflev.eq.1) llchib = .false.
!
      lladiab=.true.
      llconv=.false.
      llcond=.false.
!
      nijkm = ni*nflev*nj
      call zero(nijkm,zgdpsi)
      call zero(nijkm,zpsiomeg)
      call zero(nijkm,zgdchib)
      call zero(nijkm,zomega)
      call zero(nijkm,ztt)
      call zero(nijkm,zq)
      call zero(nijkm,zp)
!
      zcoriolis=2.*romega
!
      do jj=1,nj
        do ji=1,ni
          do jk=1,nflev
            zgdchib(ji,jk,jj)=pchi(ji,jk,jj)
          enddo
        enddo
      enddo
!
! Adjoint of Omega balance operator
!
      if(llchib) then
!ping        call achib(zomega,zgdchib)
!ping        call aomega_bal(zpsiomeg,ztt,zq,zomega,lladiab,llconv,llcond)
!
        do jk=1,nflev
          do ji=1,ni
            do jj=1,nj
              ppsi(ji,jk,jj)=ppsi(ji,jk,jj)+zpsiomeg(ji,jk,jj)
              tt0(ji,jk,jj)=tt0(ji,jk,jj)+ztt(ji,jk,jj)
              q0(ji,jk,jj)=q0(ji,jk,jj)+zq(ji,jk,jj)/qg(ji,jk,jj)
            enddo
          enddo
        enddo
      endif
!
! Adjoint of Tb operator
!
      zscalt = 0.1
      if(llmass) then
        if(lsw) then
          do jj=1,nj          ! Barotropic option
            do ji=1,ni
              zp(ji,mk,jj) = 0.0
              zp(ji,mk,jj) = zp(ji,mk,jj)+zscalt*tt0(ji,mk,jj)
            enddo
          enddo
        else
          if(cptot.eq.'GD') then
            do jj=1,nj          ! Baroclinic option
              do ji=1,ni
                do jk1=1,nflev
                  zp(ji,jk1,jj) = 0.0
                  do jk2=1,nflev
                    zp(ji,jk1,jj) = zp(ji,jk1,jj)+
     &                ptot(jk2,jk1,jj)*tt0(ji,jk2,jj)
                  enddo
                enddo
                do jk1=1,nflev
                    zp(ji,jk1,jj) = zp(ji,jk1,jj)+
     &              ptot(nflev+1,jk1,jj)*gps0(ji,1,jj)
                enddo
              enddo
            enddo
!
          else if(cptot.eq.'SP') then
!
            if(lsw) then
              do jj=1,nj          ! Barotropic option
                do ji=1,ni
                  zp(ji,mk,jj) = 0.0
                  zp(ji,mk,jj) = zp(ji,mk,jj)+zscalt*tt0(ji,mk,jj)
                enddo
              enddo
            else
              do jj=1,nj 
                do ji=1,ni
                  do jk=1,nflev
                    zt0(ji,jk,jj) = tt0(ji,jk,jj)
                  enddo
                  zps0(ji,jj) = gps0(ji,1,jj)
                enddo
              enddo
!
              call aviproj(zt0,zt0,nflev)
              call re2spla(zspt0,zt0,nflev)
              call re2spla(zsps0,zps0,1)
              zsppb(:,:,:) = 0.0
!
              do jband = 1, nband
                do jm = 1, mbandsp(jband)
                  ila=mila(jm,jband)
                  do jk1 = 1, nflev
                    zsppb(ila,1,jk1) = 0.0
                    do jk2 = 1, nflev
                      zsppb(ila,1,jk1) = zsppb(ila,1,jk1) +
     &                sptot(jk2,jk1,jband) * zspt0(ila,1,jk2)
                    enddo
                  enddo
                  do jk = 1, nflev
                    zsppb(ila,1,jk) = zsppb(ila,1,jk) +
     &                sptot(nflev+1,jk,jband)*zsps0(ila,1)
                  enddo
                enddo ! end loop on jm
              enddo ! end loop on jband
              call sp2rela(zp,zsppb,nflev)  ! Build spectral Pb
              call avproj(zp,zp,nflev)
            endif ! lsw
          endif ! cptot
        endif ! llmass
!
        if(ldhelm) then
          call alinbal_la(ppsi,zp,llfplane,.false.,'P')
        else
          do jk=1,nflev
            do jj=1,nj
              do ji=1,ni
                pvort(ji,jk,jj) = pvort(ji,jk,jj)+
     &                 zp(ji,jk,jj)
              enddo
            enddo
          enddo
        endif
      endif
!
      return
      end