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!                     version 3; Last Modified: May 7, 2008.
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***s/r hspng_drv_ad - ADJ of hspng_drv_tl 
*
#include "model_macros_f.h"
*

      subroutine hspng_drv_ad ( F_u   , F_v  ,  F_psd , F_tp , F_ip , 1,19
     %                          F_td  , F_t  ,  F_it  , F_plt, F_q  ,
     %                          F_pip , F_w  ,  F_qp  , F_mu , F_mul, F_s, 
     %                          F_pipm, F_qpm , F_xfis, DIST_DIM,Nk)
*
#include "impnone.cdk"
*
      integer DIST_DIM, Nk
      real     F_u(DIST_SHAPE,Nk), F_v (DIST_SHAPE,Nk),
     %       F_psd(DIST_SHAPE,Nk), F_tp(DIST_SHAPE,Nk),
     %        F_ip(DIST_SHAPE,Nk), F_td(DIST_SHAPE,Nk),
     %         F_t(DIST_SHAPE,Nk), F_it(DIST_SHAPE,Nk),
     %       F_plt(DIST_SHAPE,Nk), F_q (DIST_SHAPE,Nk),
     %       F_pip(DIST_SHAPE,Nk), F_w (DIST_SHAPE,Nk),
     %        F_qp(DIST_SHAPE,Nk), F_mu(DIST_SHAPE,Nk),
     %       F_mul(DIST_SHAPE,Nk), F_s(DIST_SHAPE), F_xfis(DIST_SHAPE)
*
      real  F_pipm(DIST_SHAPE,Nk), F_qpm(DIST_SHAPE,Nk)
*
*author
*     M.Tanguay
*
*revision
* v3_02 - Tanguay M.        - initial MPI version
* v3_03 - Tanguay M.        - Adjoint NoHyd configuration
* v3_20 - Tanguay M.        - Adjoint of variable higher order diffusion operator
* v3_31 - Tanguay M.        - add rwnd_L 
*
*object
*     see id section
*
*arguments
* 
*implicits
#include "glb_ld.cdk"
#include "dcst.cdk"
#include "cstv.cdk"
#include "schm.cdk"
#include "geomg.cdk"
#include "trp.cdk"
#include "hspng.cdk"
#include "hzd.cdk"
#include "ldnh.cdk"
#include "opr.cdk"
#include "ptopo.cdk"
#include "lun.cdk"
*
      integer i, j, k, dim
      real*8 HALF_8,TWO_8,ZERO_8,c_8,c1
      parameter( HALF_8  = 0.5 )
      parameter(  TWO_8  = 2.0 )
      parameter (ZERO_8  = 0.0)
*
      real work(LDIST_SHAPE,Nk), work_m(LDIST_SHAPE,Nk)
      real*8 wk1_8(LDIST_SIZ*Nk)
      real*8 g1_8(LYDIST_SIZ*(Trp_12dmax-Trp_12dmin+1)*(G_ni+Ptopo_npex))
      real*8 g2_8((Trp_12dmax-Trp_12dmin+1)*(Trp_22max-Trp_22min+1)*(G_nj+Ptopo_npey))
      real*8, dimension (Ldnh_maxy*G_ni) :: aix_8,bix_8,cix_8,dix_8
      real*8, dimension (Trp_22max*G_nj) :: aiy_8,biy_8,ciy_8
*
*     ______________________________________________________
*
      if (Lun_debug_L) write(Lun_out,1000)
*
*     Zero adjoint variables
*     ----------------------
      dim= LDIST_SIZ*Nk
      do i = 1,dim
      wk1_8(i)  = ZERO_8
      enddo
*
      do k=1,Nk
      do j=l_miny,l_maxy
      do i=l_minx,l_maxx
      work(i,j,k) = ZERO_8
      enddo
      enddo
      enddo
*
      if ( Cstv_phidf_8 .gt. 0.0) then
*
         c_8 = Cstv_phidf_8*Cstv_dt_8/(Dcst_rayt_8*Dcst_rayt_8)

         if (Hzd_difva_L) then
            call hspng_abc (aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
     $                     Geomg_cy2_8,Opr_opsxp0_8,Opr_opsxp2_8,Opr_opsyp0_8,
     $                     Hzd_yp2su_8,G_ni,G_nj,LYDIST_DIM,G_nj,l_nj)
         else
            call hspng_abc (aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
     $                     Geomg_cy2_8,Opr_opsxp0_8,Opr_opsxp2_8,Opr_opsyp0_8,
     $                     Opr_opsyp2_8,G_ni,G_nj,LYDIST_DIM,G_nj,l_nj)
         endif
*
         if (Hspng_uvwdt_L) goto 9988
*
*     TRAJECTORY
*     Save pi' for the diffusion of q'
*     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
         if ( (.not.Schm_hydro_L) .and. Schm_difqp_L ) then
            do k = 1, Nk
            do j = 1, l_nj
            do i = 1, l_ni
*
               work_m(i,j,k) = F_pipm(i,j,k)
*
            end do
            end do
            end do
         endif
*
*****************************
*  ADJ of                   *
*  3. Nonyhydrostatic model * 
*****************************
*
         if ( .not. Schm_hydro_L ) then
*
         if ( Schm_difqp_L ) then ! q' & related variables
*
*        ----------------
*        START TRAJECTORY
*        ----------------
*
*        Indirect diffusion of q'
*        ~~~~~~~~~~~~~~~~~~~~~~~~
         do k=1, Nk
         do j=1, l_nj
         do i=1, l_ni
*
            work_m(i,j,k) = ( Geomg_z_8(k) + dble(work_m(i,j,k)) )
     %                       *exp( dble(F_qpm(i,j,k)) )
*
         end do
         end do
         end do
*
         call hzd_del2  (work_m, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
*        --------------
*        END TRAJECTORY
*        --------------
*
*        START ADJOINT CALCULATIONS
*        --------------------------
         do k=1, Nk
         do j=1, l_nj
         do i=1, l_ni
*
            work  (i,j,k) = ( dble(F_qp(i,j,k)  )*( Geomg_z_8(k) + dble(F_pipm(i,j,k))) )
     %                     /( dble(work_m(i,j,k))*( Geomg_z_8(k) + dble(F_pipm(i,j,k))) ) + work  (i,j,k)
            F_pip (i,j,k) = (-dble(work_m(i,j,k))*(                dble(F_qp  (i,j,k))) )  
     %                     /( dble(work_m(i,j,k))*( Geomg_z_8(k) + dble(F_pipm(i,j,k))) ) + F_pip (i,j,k) 
            F_qp  (i,j,k) = ZERO_8
*
         end do
         end do
         end do
*
         call hzd_del2_ad  (work, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
*        Indirect diffusion of q'
*        ~~~~~~~~~~~~~~~~~~~~~~~~
         do k=1, Nk
         do j=1, l_nj
         do i=1, l_ni
*
            F_qp(i,j,k) = ( Geomg_z_8(k) + dble(work_m(i,j,k)) ) 
     %                       *exp( dble(F_qpm(i,j,k)) ) * dble(work(i,j,k)) + F_qp(i,j,k)
*
            work(i,j,k) = (                dble(work  (i,j,k)) )
     %                       *exp( dble(F_qpm(i,j,k)) )           
*
         end do
         end do
         end do
*
         call hzd_del2_ad  (F_mul, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
         call hzd_del2_ad  (F_mu, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
*        END ADJOINT CALCULATIONS
*        ------------------------
*
         endif
*
*     ADJ of
*     Vertical wind (physical)
*     ~~~~~~~~~~~~~~~~~~~~~~~~
         call hzd_del2_ad  (F_w, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
         endif
*
*     ADJ of
*     The hydrostatic pressure: pi'
*     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
         call hzd_del2_ad  (F_pip, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
*     ADJ of
*     Save pi' for the diffusion of q'
*     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
         if ( (.not.Schm_hydro_L) .and. Schm_difqp_L ) then
            do k = 1, Nk
            do j = 1, l_nj
            do i = 1, l_ni
*
               F_pip(i,j,k) = work(i,j,k) + F_pip(i,j,k)
                work(i,j,k) = ZERO_8
*
            end do
            end do
            end do
         endif
*
*     ADJ of
*     The temperature: T', T'lin & hence T
*     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*
         do k=1, Nk
         do j=1, l_nj
         do i=1, l_ni
            F_tp(i,j,k) = F_t(i,j,k) + F_tp(i,j,k)
            F_t (i,j,k) = ZERO_8
         end do
         end do
         end do
*
         call hzd_del2_ad (F_plt, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
         call hzd_del2_ad (F_tp, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
*     ADJ of
*     Mass related fields
*     ~~~~~~~~~~~~~~~~~~~
*
* ADJ of
* updating phi' at the top
*
         do j = 1, l_nj
         do i = 1, l_ni
            F_it(i,j,1) = F_ip(i,j,1) + F_it(i,j,1)
            F_ip(i,j,1) = ZERO_8
         end do
         end do
*
*
         do k = 2, Nk
         do j = 1, l_nj
         do i = 1, l_ni
            F_ip(i,j,k) = F_it(i,j,k) + F_ip(i,j,k)
            F_it(i,j,k) = ZERO_8
         end do
         end do
         end do
*
         call hzd_del2_ad (F_it, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
         call hzd_del2_ad (F_ip, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
 9988 continue
*
*        ADJ of
*        Total divergence
*        ~~~~~~~~~~~~~~~~
         call hzd_del2_ad (F_td, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
*        ADJ of
*        Vertical motion
*        ~~~~~~~~~~~~~~~
         call hzd_del2_ad (F_psd, wk1_8,
     $              Opr_opsxp0_8(G_ni+1), Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
      endif
*
*     ADJ of
*     Momentum
*     ~~~~~~~~
      if ( Cstv_uvdf_8 .gt. 0.0 ) then
*
         c_8 = Cstv_uvdf_8*Cstv_dt_8/(Dcst_rayt_8*Dcst_rayt_8)
         call hspng_abc ( aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
     $               Geomg_cyv2_8,Opr_opsxp0_8,Opr_opsxp2_8,Hzd_yp0_8,Hzd_yp2_8,
     $               G_ni,G_nj,LYDIST_DIM,G_njv,l_njv)
*
         call hzd_del2_ad (F_v, wk1_8, Opr_opsxp0_8(G_ni+1), Hzd_opsyp0_8,
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_njv)
*
         if (Hzd_difva_L) then
            call hspng_abc ( aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
     $               Geomg_cy2_8,Hzd_xp0_8,Hzd_xp2_8,Opr_opsyp0_8,Hzd_yp2su_8,
     $               G_ni,G_nj,LYDIST_DIM,G_nj,l_nj)
         else
            call hspng_abc ( aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,c_8,
     $               Geomg_cy2_8,Hzd_xp0_8,Hzd_xp2_8,Opr_opsyp0_8,Opr_opsyp2_8,
     $               G_ni,G_nj,LYDIST_DIM,G_nj,l_nj)
         endif
*
         call hzd_del2_ad (F_u, wk1_8, Hzd_opsxp0_8, Opr_opsyp0_8(G_nj+1),
     $              aix_8,bix_8,cix_8,dix_8,aiy_8,biy_8,ciy_8,g1_8,g2_8,
     $              LDIST_DIM,Nk, G_ni,G_nj, Ldnh_maxy,
     $              Trp_12dmax,Trp_12dn, Trp_22max ,Trp_22n ,G_nj)
*
      endif     
*
*     __________________________________________________________________
 1000 format(/,3X,
     + 'ADJ of PERFORM FACTORIZED DEL-2 HORIZONTAL DIFFUSION: (S/R HSPNG_DRV_AD)')
*
      return
      end