!-------------------------------------- LICENCE BEGIN ------------------------------------
!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
!This is free but copyrighted software; you can use/redistribute/modify it under the terms
!of the Environment Canada - Atmospheric Science and Technology License/Disclaimer
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!
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!without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
!See the above mentioned License/Disclaimer for more details.
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!-------------------------------------- LICENCE END --------------------------------------
***s/r sol_fft8_2_ad - ADJ of sol_fft8_2
*
#include "model_macros_f.h"
*
subroutine sol_fft8_2_ad( sol, Rhs, pri, 1
$ Minx, Maxx, Miny, Maxy, njl,
$ Minz, Maxz, Nk, Nkl, Gni, Gnj,
$ Minij, Maxij, L_nij,
$ minx1, maxx1, minx2, maxx2,nx3,
$ F_npex1, F_npey1, ai, bi, ci,
$ fdg2,fdwfft)
*
implicit none
*
*author
* M.Tanguay
*
*revision
* v2_10 - Tanguay M. - initial MPI version
* v2_21 - Tanguay M. - zero adjoint variables
* - verify if ci=0 or ai=0 or bi=1
* v3_11 - Tanguay M. - AIXport+Opti+OpenMP for TLM-ADJ
*
*object
* see id section
*
*arguments
* io - Sol - result
* io - Rhs - r.h.s. of elliptic equation
* i - Gni - number of points in x-direction
* i - Gnj - number of points in y-direction
*
*implicits
#include "ptopo.cdk"
*
*modules
external ffft8, rpn_comm_transpose
*
integer F_npex1, F_npey1
integer minx1, maxx1, minx2, maxx2,nx3
*
Real*8 ai(minx1:maxx1,minx2:maxx2,nx3),
$ bi(minx1:maxx1,minx2:maxx2,nx3),
$ ci(minx1:maxx1,minx2:maxx2,nx3)
*
integer Minx, Maxx, Miny, Maxy, njl
integer Minz, Maxz, Nk, Nkl
integer Gni, Gnj
integer Minij, Maxij, L_nij
real*8 Sol(Minx:Maxx,Miny:Maxy,Nk), Rhs(Minx:Maxx,Miny:Maxy,Nk)
real*8 pri
*
real*8 fdwfft(Miny:Maxy,Minz:Maxz,Gni+2+F_npex1)
real*8 fdg2(Minz:Maxz,Minij:Maxij,Gnj+F_npey1)
*
integer i, j, k, ki, jw, jr, err
integer kkii, ki0, kin, kitotal, kilon
real*8 ZERO_8,ONE_8
parameter( ZERO_8 = 0.0 )
parameter( ONE_8 = 1.0 )
*
!$omp parallel private(ki0,kin,kkii,jr)
!$omp% shared(kitotal,kilon,ai,bi,ci)
*
!$omp single
call rpn_comm_transpose( Sol, Minx, Maxx, Gni, (Maxy-Miny+1),
% Minz, Maxz, Nk, fdwfft, 1, 2 )
!$omp end single
*
* Zero adjoint variables
* ----------------------
!$omp do
do k= 1,Nk
do j= Miny,Maxy
do i= Minx,Maxx
sol(i,j,k) = ZERO_8
enddo
enddo
enddo
!$omp enddo
*
* ADJ of
* inverse projection ( r = x * w )
!$omp do
do k=1, Nkl
call ffft8( fdwfft(Miny,k,1), (Maxy-Miny+1) * (Maxz-Minz+1), 1,
% (Maxy-Miny+1), -1 )
enddo
!$omp enddo
*
C call ffft8( fdwfft, (Maxy-Miny+1) * (Maxz-Minz+1), 1,
C % (Maxy-Miny+1) * Nkl, -1 )
*
!$omp do
do k = Nkl,1,-1
do j = (Maxy-Miny+1),1,-1
fdwfft(j,k,Gni+2) = ZERO_8
fdwfft(j,k,2) = ZERO_8
fdwfft(j,k,2) = fdwfft(j,k,1) + fdwfft(j,k,2)
fdwfft(j,k,1) = ZERO_8
enddo
enddo
!$omp enddo
*
!$omp single
call rpn_comm_transpose
$ ( fdwfft(1,1,2), Miny, Maxy, Gnj, (Maxz-Minz+1),
$ Minij, Maxij, Gni, fdg2, 2, 2 )
!$omp end single
*
* Zero adjoint variables
* ----------------------
!$omp do
do k= 1,Gni+2+F_npex1
do j= Minz,Maxz
do i= Miny,Maxy
fdwfft(i,j,k) = ZERO_8
enddo
enddo
enddo
!$omp enddo
*
kitotal = (Maxz-Minz+1)*L_nij
kilon = (kitotal + Ptopo_npeOpenMP)/Ptopo_npeOpenMP
!$omp do
do kkii = Ptopo_npeOpenMP,1,-1
*
ki0 = 1 + kilon*(kkii-1)
kin = min(kitotal, kilon*kkii)
*
do j = 1,Gnj-1
jr = j + 1
C do ki= (Maxz-Minz+1)*L_nij,1,-1
do ki= kin, ki0,-1
fdg2(ki,1,jr)=- ci(ki,1,j) * fdg2(ki,1,j) + fdg2(ki,1,jr)
enddo
enddo
do j =Gnj,2,-1
jr = j - 1
C do ki= (Maxz-Minz+1)*L_nij,1,-1
do ki= kin, ki0,-1
fdg2(ki,1,jr) = - ai(ki,1,j)*fdg2(ki,1,j) + fdg2(ki,1,jr)
fdg2(ki,1,j) = bi(ki,1,j)*fdg2(ki,1,j)
enddo
enddo
*
j =1
C do ki= (Maxz-Minz+1) *L_nij,1,-1
do ki= kin, ki0,-1
fdg2(ki,1,j) = bi(ki,1,j)*fdg2(ki,1,j)
enddo
*
enddo
!$omp enddo
*
!$omp single
call rpn_comm_transpose
$ ( fdwfft(1,1,2), Miny, Maxy, Gnj, (Maxz-Minz+1),
$ Minij, Maxij, Gni, fdg2, -2, 2 )
!$omp end single
*
* Zero adjoint variables
* ----------------------
!$omp do
do k= 1,Gnj+F_npey1
do j= Minij,Maxij
do i= Minz,Maxz
fdg2(i,j,k) = ZERO_8
enddo
enddo
enddo
!$omp enddo
*
!$omp do
do k = Nkl,1,-1
do j = (Maxy-Miny+1),1,-1
fdwfft(j,k,1) = fdwfft(j,k,2) + fdwfft(j,k,1)
fdwfft(j,k,2) = ZERO_8
fdwfft(j,k,Gni+2) = ZERO_8
enddo
*
do i = (Gni)/2,0,-1
do jw = (Maxy-Miny+1),1,-1
fdwfft(jw,k,2*i+2) = pri * fdwfft(jw,k,2*i+2)
fdwfft(jw,k,2*i+1) = pri * fdwfft(jw,k,2*i+1)
enddo
enddo
enddo
!$omp enddo
*
* ADJ of
* projection ( wfft = x transposed * g )
* --------------------------------------
!$omp do
do k=1,Nkl
call ffft8(fdwfft(Miny,k,1),(Maxy-Miny+1)*(Maxz-Minz+1),
% 1, (Maxy-Miny+1), 1 )
enddo
!$omp enddo
C call ffft8(fdwfft, (Maxy-Miny+1)*(Maxz-Minz+1),
C % 1, (Maxy-Miny+1) * Nkl, 1 )
*
!$omp do
do i= Gni,1,-1
do k= Maxz,Nkl+1,-1
do j= Maxy,Miny,-1
fdwfft(j,k,i)=ZERO_8
enddo
enddo
*
do k= nkl,Minz,-1
do j= Maxy,njl+1,-1
fdwfft(j,k,i)=ZERO_8
enddo
enddo
enddo
!$omp enddo
*
!$omp single
call rpn_comm_transpose( Rhs, Minx, Maxx, Gni, (Maxy-Miny+1),
% Minz, Maxz, Nk, fdwfft, -1, 2 )
!$omp end single
*
* Zero adjoint variables
* ----------------------
!$omp do
do k= 1,Gni+2+F_npex1
do j= Minz,Maxz
do i= Miny,Maxy
fdwfft(i,j,k) = ZERO_8
enddo
enddo
enddo
!$omp enddo
!$omp end parallel
*
return
end