!-------------------------------------- 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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!
!This software is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
!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 - parallel direct solution of horizontal Helmholtz
* problem. With ffft8
*
#include "model_macros_f.h"
*
subroutine sol_fft8_2( sol, Rhs, pri, 1,10
$ 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)
#include "impnone.cdk"
#include "ptopo.cdk"
*
*
*
*author Abdessamad Qaddouri- JULY 1999
*
*revision
* v1_96 - alain patoine - rename sol_fft8, sol_fft8_2 (calling sequence changed)
* v3_10 - Corbeil & Desgagne & Lee - AIXport+Opti+OpenMP
*
*arguments
* o - Sol - result
* i - Rhs - r.h.s. of elliptic equation
* i - Gni - number of points in x-direction
* i - Gnj - number of points in y-direction
*
*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, one
parameter( zero = 0.0 )
parameter( one = 1.0 )
*
call tmg_start0
(45, 'TRP_1 ' )
call rpn_comm_transpose( Rhs, Minx, Maxx, Gni, (Maxy-Miny+1),
% Minz, Maxz, Nk, fdwfft, 1, 2 )
call tmg_stop0
(45)
* projection ( wfft = x transposed * g )
call tmg_start0
(46, 'SOL_4 ' )
!$omp parallel private(ki0,kin,kkii,jr)
!$omp% shared(kitotal,kilon,ai,bi,ci)
!$omp do
do i= 1,Gni
do k= Minz, nkl
do j= njl+1,Maxy
fdwfft(j,k,i)=zero
enddo
enddo
do k= Nkl+1,Maxz
do j= Miny,Maxy
fdwfft(j,k,i)=zero
enddo
enddo
enddo
!$omp enddo
*
!$omp do
do k=1,Nkl
call ffft8(fdwfft(Miny,k,1),(Maxy-Miny+1)*(Maxz-Minz+1),
% 1, (Maxy-Miny+1), -1 )
enddo
!$omp enddo
c call ffft8(fdwfft,(Maxy-Miny+1)*(Maxz-Minz+1),
c % 1, (Maxy-Miny+1) * Nkl, -1 )
!$omp do
do k = 1, Nkl
do i = 0, (Gni)/2
do jw = 1, (Maxy-Miny+1)
fdwfft(jw,k,2*i+1) = pri * fdwfft(jw,k,2*i+1)
fdwfft(jw,k,2*i+2) = pri * fdwfft(jw,k,2*i+2)
enddo
enddo
do j = 1, (Maxy-Miny+1)
fdwfft(j,k,Gni+2) = zero
fdwfft(j,k,2) = fdwfft(j,k,1)
enddo
enddo
!$omp enddo
*
!$omp single
call tmg_start0
(47, 'TRP_2 ' )
call rpn_comm_transpose
$ ( fdwfft(1,1,2), Miny, Maxy, Gnj, (Maxz-Minz+1),
$ Minij, Maxij, Gni, fdg2, 2, 2 )
call tmg_stop0
(47)
!$omp end single
*
kitotal = (Maxz-Minz+1)*L_nij
kilon = (kitotal + Ptopo_npeOpenMP)/Ptopo_npeOpenMP
!$omp do
do kkii = 1,Ptopo_npeOpenMP
j =1
ki0 = 1 + kilon*(kkii-1)
kin = min(kitotal, kilon*kkii)
do ki= ki0, kin
fdg2(ki,1,j) = bi(ki,1,j)*fdg2(ki,1,j)
enddo
do j =2, Gnj
jr = j - 1
do ki= ki0,kin
fdg2(ki,1,j) = bi(ki,1,j)*fdg2(ki,1,j) - ai(ki,1,j)
$ * fdg2(ki,1,jr)
enddo
enddo
do j = Gnj-1, 1, -1
jr = j + 1
do ki= ki0, kin
fdg2(ki,1,j) = fdg2(ki,1,j) - ci(ki,1,j) * fdg2(ki,1,jr)
enddo
enddo
enddo
!$omp enddo
*
!$omp single
call tmg_start0
(48, 'TRP_3 ' )
call rpn_comm_transpose
$ ( fdwfft(1,1,2), Miny, Maxy, Gnj, (Maxz-Minz+1),
$ Minij, Maxij, Gni, fdg2,- 2, 2 )
call tmg_stop0
(48)
!$omp end single
!$omp do
do k = 1, Nkl
do j = 1, (Maxy-Miny+1)
fdwfft(j,k,1) = fdwfft(j,k,2)
fdwfft(j,k,2) = zero
fdwfft(j,k,Gni+2) = zero
enddo
enddo
!$omp enddo
* inverse projection ( r = x * w )
!$omp do
do k=1, Nkl
call ffft8( fdwfft(Miny,k,1), (Maxy-Miny+1) * (Maxz-Minz+1), 1,
% (Maxy-Miny+1), +1 )
enddo
!$omp enddo
!$omp end parallel
call tmg_stop0
(46)
c call ffft8( fdwfft, (Maxy-Miny+1) * (Maxz-Minz+1), 1,
c % (Maxy-Miny+1) * Nkl, +1 )
*
call tmg_start0
(49, 'TRP_4 ' )
call rpn_comm_transpose( Sol, Minx, Maxx, Gni, (Maxy-Miny+1),
% Minz, Maxz, Nk, fdwfft, -1, 2 )
call tmg_stop0
(49)
*
return
end