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ESMF_GenerateCSGridDescription.F90
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ESMF_GenerateCSGridDescription.F90
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#define I_AM_MAIN
#define VERIFY_(A) if(MAPL_VRFY(A,Iam,__LINE__,RC))call MAPL_Abort
!#include "MAPL_Generic.h"
program ESMF_GenerateCSGridDescription
! ESMF Framework module
use NetCDF
use ESMF
use MAPL
use fv_grid_utils_mod, only: gnomonic_grids, cell_center2,get_area, direct_transform
use fv_grid_tools_mod, only: mirror_grid
use, intrinsic :: iso_fortran_env, only: REAL64,REAL32
implicit none
! Local variables to be used in the Regrid method calls.
! The code creating and filling these variables is not included in the
! example documentation because those interfaces are not specific to
! Regrid.
type(ESMF_Grid) :: dstgrid
integer :: rc
!EOC
real(REAL64), parameter :: PI = 3.14159265358979323846
character(len=ESMF_MAXSTR) :: IAm
integer :: npets, localPet
integer :: i, j, k
type(ESMF_VM) :: vm
real (ESMF_KIND_R8), dimension(2) :: mincoord
real (ESMF_KIND_R8) :: deltaX, deltaY
integer :: IM_World, JM_World, scrip_size
integer, parameter :: grid_type = 0
integer, parameter :: KM_WORLD=1
integer, parameter :: NX=1
integer, parameter :: NY=6
integer, parameter :: ntiles=6
integer, parameter :: ndims=2
integer :: N
integer :: info
integer :: start(2), cnt(2), hull_num, hull(4)
integer :: UNIT
real(ESMF_KIND_R8), allocatable :: grid_global(:,:,:,:)
real(ESMF_KIND_R8), allocatable :: SCRIP_CenterLat(:), SCRIP_CenterLon(:)
real(ESMF_KIND_R8), allocatable :: SCRIP_CornerLat(:,:), SCRIP_CornerLon(:,:)
real(ESMF_KIND_R8), allocatable :: SCRIP_Area(:)
real(ESMF_KIND_R8) :: alocs(2), node_xy(2,4), node_xy_tmp(2,4), lon_e, lon_w
integer :: cornerdim, gridsize, griddim, rankdim, mask
integer :: cornerlon, cornerlat, centerlon, centerlat,cellarea
integer, allocatable :: IMS(:), JMS(:), sendData(:), GlobalCounts(:), recvCounts(:), recvOffsets(:)
integer, allocatable :: grid_imask(:)
character(len=ESMF_MAXSTR) :: gridname, FMT, FMTIM, FMTJM, FMTPET, title
integer :: NPX, NPY
integer :: isg, ieg
integer :: jsg, jeg
integer :: is, ie
integer :: js, je
integer :: myTile
integer :: npts, tmp, mpiC, mpiC2
integer :: IG, JG
logical :: do_schmidt
real(ESMF_KIND_R8) :: target_lon, target_lat, stretch_fac
type(ESMF_Config) :: CF
integer :: status
#include "mpif.h"
Iam = "ESMF_GenerateCSGridDescription"
call ESMF_Initialize(logKindFlag=ESMF_LOGKIND_NONE,rc=status)
VERIFY_(status)
call ESMF_VMGetGlobal(vm, rc=status)
VERIFY_(status)
! Get number of PETs we are running with
! --------------------------------------
call ESMF_VMGet(vm, localPet=localPet, petCount=npets, mpiCommunicator=mpiC, rc=status)
VERIFY_(status)
call MPI_Comm_dup(mpic, mpic2, status)
VERIFY_(status)
! Duplicate the MPI communicator not to interfere with ESMF communications.
! The duplicate MPI communicator can be used in any MPI call in the user
! code. Here the MPI_Barrier() routine is called.
call MPI_Barrier(mpic2, status)
VERIFY_(status)
CF = ESMF_ConfigCreate(rc=status)
VERIFY_(STATUS)
call ESMF_ConfigLoadFile(CF,filename='GenScrip.rc',rc=status)
VERIFY_(STATUS)
call ESMF_ConfigGetAttribute(CF, IM_World, Label='CUBE_DIM:',rc=status)
VERIFY_(STATUS)
JM_WORLD = 6 * IM_WORLD
call ESMF_ConfigGetAttribute(CF, do_schmidt, Label='DO_SCHMIDT:',Default=.false.,rc=status)
VERIFY_(STATUS)
call ESMF_ConfigGetAttribute(CF, stretch_fac, Label='STRETCH_FAC:',rc=status)
if (status /=0) then
if (do_schmidt) then
write(*,*)"Asking for stretch grid without supplying stretch factor"
call MPI_Abort(mpiC,status)
end if
end if
call ESMF_ConfigGetAttribute(CF, target_lon, Label='TARGET_LON:',rc=status)
if (status /=0) then
if (do_schmidt) then
write(*,*)"Asking for stretch grid without supplying target lon"
call MPI_Abort(mpiC,status)
end if
end if
call ESMF_ConfigGetAttribute(CF, target_lat, Label='TARGET_LAT:',rc=status)
if (status /=0) then
if (do_schmidt) then
write(*,*)"Asking for stretch grid without supplying target lat"
call MPI_Abort(mpiC,status)
end if
end if
! Create destination Cubed-Sphere grid
! ------------------------------------
allocate( IMS(0:NX-1) )
allocate( JMS(0:NY-1) )
call DecomposeDim_ ( IM_WORLD , IMS , NX )
call DecomposeDim_ ( JM_WORLD/6, JMS(0:NY/6 -1) , NY/6 )
do n=2,6
JMS((n-1)*NY/6 : n*NY/6 -1) = JMS(0:NY/6 -1)
enddo
deltaX = 2.0*PI/IM_WORLD
deltaY = PI/(JM_WORLD )
minCoord(1) = 0.0
minCoord(2) = -PI/2
call GET_INT_FORMAT_(IM_WORLD, FMTIM)
call GET_INT_FORMAT_(JM_WORLD, FMTJM)
FMT = '(A,' // trim(FMTIM) //',A,' // trim(FMTJM) // ',A)'
write(gridname,trim(FMT)) 'PE',IM_WORLD,'x',JM_WORLD,'-CF'
dstgrid = ESMF_GridCreate( &
name=gridname, &
countsPerDEDim1=ims, &
countsPerDEDim2=jms, &
indexFlag = ESMF_INDEX_GLOBAL, &
coordDep1 = (/1,2/), &
coordDep2 = (/1,2/), &
rc=status)
VERIFY_(status)
! Allocate coords at default stagger location
! -------------------------------------------
call ESMF_GridAddCoord(dstgrid, rc=status)
VERIFY_(status)
call ESMF_AttributeSet(dstgrid, 'GridType', 'Cubed-Sphere', rc=status)
VERIFY_(status)
call ESMF_GRID_INTERIOR(dstgrid,isg,ieg,jsg,jeg)
! print*, 'ESMF_GRID_INTERIOR: ', isg, ieg, jsg, jeg
npx = IM_WORLD
npy = JM_WORLD
myTile = jsg/(npy/ntiles)
is = isg
ie = ieg
js = jsg - myTile*(npy/ntiles)
je = jeg - myTile*(npy/ntiles)
npts = (npy/ntiles)
if (npts /= npx) then
print*, 'Error npts /= npx', npts, npx
status=1
endif
VERIFY_(status)
print*, 'AppGridCreate: ', myTile, is, ie, js, je, npts
allocate( grid_global(npts+1,npts+1,ndims,ntiles) )
grid_global=Z'7FFC000000000000'
call gnomonic_grids(grid_type, npts, grid_global(:,:,1,1), grid_global(:,:,2,1))
! mirror_grid assumes that the tile=1 is centered on equator and greenwich meridian Lon[-pi,pi]
! ---------------------------------------------------------------------------------------------
call mirror_grid(grid_global, 0, npts+1, npts+1, 2, 6)
do n=1,ntiles
do j=1,npts+1
do i=1,npts+1
! Shift the corner away from Japan close to east coast of China
! -------------------------------------------------------------
if (.not. do_schmidt) grid_global(i,j,1,n) = grid_global(i,j,1,n) - pi/18.
if ( grid_global(i,j,1,n) < 0. ) &
grid_global(i,j,1,n) = grid_global(i,j,1,n) + 2.*pi
if (ABS(grid_global(i,j,1,n)) < 1.e-10) grid_global(i,j,1,n) = 0.0
if (ABS(grid_global(i,j,2,n)) < 1.e-10) grid_global(i,j,2,n) = 0.0
enddo
enddo
enddo
! Clean Up Corners
! ----------------
grid_global( 1,1:npts+1,:,2)=grid_global(npts+1,1:npts+1,:,1)
grid_global( 1,1:npts+1,:,3)=grid_global(npts+1:1:-1,npts+1,:,1)
grid_global(1:npts+1,npts+1,:,5)=grid_global(1,npts+1:1:-1,:,1)
grid_global(1:npts+1,npts+1,:,6)=grid_global(1:npts+1,1,:,1)
grid_global(1:npts+1, 1,:,3)=grid_global(1:npts+1,npts+1,:,2)
grid_global(1:npts+1, 1,:,4)=grid_global(npts+1,npts+1:1:-1,:,2)
grid_global(npts+1,1:npts+1,:,6)=grid_global(npts+1:1:-1,1,:,2)
grid_global( 1,1:npts+1,:,4)=grid_global(npts+1,1:npts+1,:,3)
grid_global( 1,1:npts+1,:,5)=grid_global(npts+1:1:-1,npts+1,:,3)
grid_global(npts+1,1:npts+1,:,3)=grid_global(1,1:npts+1,:,4)
grid_global(1:npts+1, 1,:,5)=grid_global(1:npts+1,npts+1,:,4)
grid_global(1:npts+1, 1,:,6)=grid_global(npts+1,npts+1:1:-1,:,4)
grid_global( 1,1:npts+1,:,6)=grid_global(npts+1,1:npts+1,:,5)
!------------------------
! Schmidt transformation:
!------------------------
if ( do_schmidt ) then
target_lon = target_lon*PI/180._8
target_lat = target_lat*PI/180._8
do n=1,ntiles
call direct_transform(stretch_fac, 1, npts+1, 1, npts+1, target_lon, target_lat, &
n, grid_global(1:npts+1,1:npts+1,1,n), grid_global(1:npts+1,1:npts+1,2,n))
enddo
endif
tmp = (ieg-isg+1)*(jeg-jsg+1)
allocate(SCRIP_CenterLat(tmp),stat=status)
VERIFY_(status)
SCRIP_CenterLat=Z'7FFC000000000000'
allocate(SCRIP_CenterLon(tmp),stat=status)
VERIFY_(status)
SCRIP_CenterLon=Z'7FFC000000000000'
allocate(SCRIP_CornerLat(4,tmp),stat=status)
VERIFY_(status)
SCRIP_CornerLat=Z'7FFC000000000000'
allocate(SCRIP_CornerLon(4,tmp),stat=status)
VERIFY_(status)
SCRIP_CornerLon=Z'7FFC000000000000'
allocate(SCRIP_Area(tmp),stat=status)
VERIFY_(status)
SCRIP_Area=Z'7FFC000000000000'
! write a separate GMT format multi-segment polygon file from each process
! can be used later to inspect the grid http://gmt.soest.hawaii.edu/
! ------------------------------------------------------------------------
call GET_INT_FORMAT_(localPet, FMTPET)
!FMT = '(A,'// trim(FMTIM) //',A,' // trim(FMTPET) //',A)'
!write(filename,trim(FMT)) 'c', IM_WORLD,'.',localPet,'.gmt'
!UNIT=28+localPet
!open(UNIT,file=trim(filename),form='formatted',status='new')
n=1
do jg=jsg,jeg
do ig=isg,ieg
i=ig
j=jg-myTile*npts
call cell_center2(grid_global(i ,j ,1:2,myTile+1), grid_global(i+1,j ,1:2,myTile+1), &
grid_global(i+1,j+1,1:2,myTile+1), grid_global(i ,j+1,1:2,myTile+1), &
alocs)
SCRIP_CenterLon(n) = alocs(1)*(180._8/PI)
SCRIP_CenterLat(n) = alocs(2)*(180._8/PI)
node_xy(1,1:4) = (/grid_global(i ,j,1,myTile+1),grid_global(i+1,j,1,myTile+1),grid_global(i+1,j+1,1,myTile+1),grid_global(i,j+1,1,myTile+1)/)
node_xy(2,1:4) = (/grid_global(i ,j,2,myTile+1),grid_global(i+1,j,2,myTile+1),grid_global(i+1,j+1,2,myTile+1),grid_global(i,j+1,2,myTile+1)/)
node_xy_tmp = node_xy
! Correct for the periodic boundary at 0/360
! ------------------------------------------
lon_w = min( grid_global(i ,j,1,myTile+1),grid_global(i+1,j,1,myTile+1),grid_global(i+1,j+1,1,myTile+1),grid_global(i,j+1,1,myTile+1) )
lon_e = max( grid_global(i ,j,1,myTile+1),grid_global(i+1,j,1,myTile+1),grid_global(i+1,j+1,1,myTile+1),grid_global(i,j+1,1,myTile+1) )
if ( abs(lon_e - lon_w) > 1.5_8*pi .and. (SCRIP_CenterLon(n) < pi) ) then
where(node_xy(1,:) > pi) node_xy_tmp(1,:) = node_xy(1,:) - 2._8*pi
elseif ( abs(lon_e - lon_w) > 1.5_8*pi .and. (SCRIP_CenterLon(n) > pi) ) then
where(node_xy(1,:) < pi) node_xy_tmp(1,:) = node_xy(1,:) + 2._8*pi
endif
call points_hull_2d(4, node_xy_tmp, hull_num, hull)
if(ANY(hull==0)) then
write(*,100)'Zero Hull ', grid_global(i ,j,1,myTile+1),grid_global(i+1,j,1,myTile+1),grid_global(i+1,j+1,1,myTile+1),grid_global(i,j+1,1,myTile+1)
write(*,100)'Zero Hull ', node_xy_tmp(1,:)
endif
!write(UNIT,103) '>'
do k=1,4
SCRIP_CornerLon(k,n) = node_xy(1,hull(k))*(180._8/PI)
SCRIP_CornerLat(k,n) = node_xy(2,hull(k))*(180._8/PI)
!write(UNIT,102) SCRIP_CornerLon(k,n), SCRIP_CornerLat(k,n)
enddo
!SCRIP_Area(n) = get_area(node_xy(:,hull(1)),node_xy(:,hull(2)),node_xy(:,hull(3)),node_xy(:,hull(4)),1.0d0)
SCRIP_Area(n) = get_area(grid_global(i ,j ,1:2,myTile+1), grid_global(i,j+1 ,1:2,myTile+1), &
grid_global(i+1,j,1:2,myTile+1), grid_global(i+1,j+1,1:2,myTile+1),1.0d0)
n=n+1
enddo
enddo
100 format(a,4f20.15)
101 format(a,f20.15)
102 format(2f20.15)
103 format(a)
deallocate( grid_global )
deallocate( IMS )
deallocate( JMS )
scrip_size = IM_World*JM_World
call MPI_Info_create(info, status)
VERIFY_(status)
call MPI_Info_set(info, "cb_buffer_size", "1048576", status)
VERIFY_(status)
status = nf90_create(trim(gridname)//'.nc4', IOR(NF90_MPIIO,IOR(NF90_CLOBBER,NF90_NETCDF4)),unit,comm=mpic2,info=info)
if(status /= nf90_noerr) then
print*,'Error creating file ',status
print*, NF90_STRERROR(status)
stop
endif
FMT = '(A,' // ',A,' //',A)'
write(title,trim(FMT)) 'GMAO ',trim(gridname),' Grid'
status = nf90_put_att(unit,NF90_GLOBAL, 'title', trim(title))
if(status /= nf90_noerr) then
print*,'Error setting title',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(unit,NF90_GLOBAL, 'GridDescriptionFormat','SCRIP')
if(status /= nf90_noerr) then
print*,'Error setting GridDescriptionFormat',status
print*, NF90_STRERROR(status)
stop
endif
if (do_Schmidt) then
status = nf90_put_att(unit,NF90_GLOBAL, 'TargetLon', target_lon*180._8/PI)
if(status /= nf90_noerr) then
print*,'Error setting TargetLon',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(unit,NF90_GLOBAL, 'TargetLat', target_lat*180._8/PI)
if(status /= nf90_noerr) then
print*,'Error setting TargetLat',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(unit,NF90_GLOBAL, 'StretchFactor', stretch_fac)
if(status /= nf90_noerr) then
print*,'Error setting StretchFactor',status
print*, NF90_STRERROR(status)
stop
endif
end if
status = NF90_def_dim(UNIT, 'grid_size', SCRIP_size, gridsize)
if(status /= nf90_noerr) then
print*,'Error defining grid_size',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_def_dim(unit,'grid_corners', 4, cornerdim)
if(status /= nf90_noerr) then
print*,'Error defining grid_corners',status
print*, NF90_STRERROR(status)
stop
endif
! Peggy Li suggested setting grid_rank=1 and grid_dims=1
! so that ESMF will treat the grid as unstructured
! ------------------------------------------------------
status = NF90_DEF_DIM(UNIT, 'grid_rank' , 1, rankdim)
if(status /= nf90_noerr) then
print*,'Error defining grid_rank',status
print*, NF90_STRERROR(status)
stop
endif
! Grid dimensions
! ---------------
status = nf90_def_var(UNIT, "grid_dims", NF90_INT, [rankdim], griddim)
if(status /= nf90_noerr) then
print*,'Error defining grid_dims',status
print*, NF90_STRERROR(status)
stop
endif
! Grid mask
! ---------
status = nf90_def_var(UNIT, "grid_imask", NF90_INT, [gridsize], mask)
if(status /= nf90_noerr) then
print*,'Error defining grid_imask',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(unit,mask,"units","unitless")
! cell center Longitude variable
! ------------------------------
status = nf90_def_var(UNIT, "grid_center_lon", NF90_DOUBLE, [gridsize], centerlon)
if(status /= nf90_noerr) then
print*,'Error defining cell center lons',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(UNIT, centerlon, "units" , "degrees")
! cell center Latitude variable
! -----------------------------
status = nf90_def_var(UNIT, "grid_center_lat", NF90_DOUBLE, [gridsize], centerlat)
if(status /= nf90_noerr) then
print*,'Error defining cell center lats',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(UNIT, centerlat, "units" , "degrees")
! cell corner Longitude variable
! ------------------------------
status = nf90_def_var(UNIT, "grid_corner_lon", NF90_DOUBLE, [cornerdim,gridsize], cornerlon)
if(status /= nf90_noerr) then
print*,'Error defining cell corner lons',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(UNIT, cornerlon, "units" , "degrees")
! cell corner Latitude variable
! -----------------------------
status = nf90_def_var(UNIT, "grid_corner_lat", NF90_DOUBLE, [cornerdim,gridsize], cornerlat)
if(status /= nf90_noerr) then
print*,'Error defining cell corner lats',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(UNIT, cornerlat, "units" ,"degrees")
status = nf90_def_var(UNIT, "grid_area", NF90_DOUBLE, [gridsize], cellarea)
if(status /= nf90_noerr) then
print*,'Error defining cell area',status
print*, NF90_STRERROR(status)
stop
endif
status = nf90_put_att(UNIT, cellarea, "units" , "radians^2")
status = nf90_enddef(UNIT)
if(status /= nf90_noerr) then
print*,'Error exitting define mode',status
print*, NF90_STRERROR(status)
stop
endif
rc = NF90_PUT_VAR(UNIT, griddim, 1)
if(rc /= nf90_noerr) then
print*,'Error writing griddim',rc
print*, NF90_STRERROR(rc)
stop
endif
allocate (sendData(1),GlobalCounts(npets), recvCounts(npets), recvOffsets(npets), stat=status)
VERIFY_(status)
sendData = tmp
recvCounts=1
recvOffsets=0
do i=2, npets
recvOffsets(i) = recvOffsets(i-1) + recvCounts(i-1)
enddo
call ESMF_VMGatherV(vm,sendData=sendData,sendCount=1,recvData=GlobalCounts,recvCounts=recvCounts,recvOffsets=recvOffsets,rootPet=0,rc=status)
VERIFY_(status)
call ESMF_VMBroadcast(vm,bcstData=GlobalCounts,count=npets,rootPet=0, rc=status)
VERIFY_(status)
if (localPet == 0) print*,GlobalCounts
start=1
do i=1,localPet
start(1) = start(1)+GlobalCounts(i)
enddo
cnt(1) = tmp; cnt(2)=1
status = NF90_PUT_VAR(UNIT, centerlon, SCRIP_CenterLon, start=start, count=cnt)
if(status /= nf90_noerr) then
print*,'Error writing CenterLons ',status
print*, NF90_STRERROR(status)
stop
endif
status = NF90_PUT_VAR(UNIT, centerlat, SCRIP_CenterLat, start=start, count=cnt)
if(status /= nf90_noerr) then
print*,'Error writing CenterLats ',status
print*, NF90_STRERROR(status)
stop
endif
status = NF90_PUT_VAR(UNIT, cellarea, SCRIP_Area, start=start, count=cnt)
if(status /= nf90_noerr) then
print*,'Error writing CenterLats ',status
print*, NF90_STRERROR(status)
stop
endif
! Grid mask
! ---------
allocate(grid_imask(tmp), stat=status)
VERIFY_(status)
grid_imask = 1
status = NF90_PUT_VAR(UNIT, mask, grid_imask, start=start, count=cnt)
if(status /= nf90_noerr) then
print*,'Error writing grid_imask',status
print*, NF90_STRERROR(status)
stop
endif
deallocate(grid_imask)
start(2)=start(1)
start(1)=1
cnt(1)=4
cnt(2)=tmp
status = NF90_PUT_VAR(UNIT, cornerlat, SCRIP_CornerLat, start=start, count=cnt)
if(status /= nf90_noerr) then
print*,'Error writing CornerLats ',status
print*, NF90_STRERROR(status)
stop
endif
status = NF90_PUT_VAR(UNIT, cornerlon, SCRIP_CornerLon, start=start, count=cnt)
if(status /= nf90_noerr) then
print*,'Error writing CornerLons ',status
print*, NF90_STRERROR(status)
stop
endif
status = NF90_CLOSE(UNIT)
if(status /= nf90_noerr) then
print*,'Error closing output file ', status
print*, NF90_STRERROR(status)
stop
endif
call ESMF_VMBarrier(vm, rc=status)
deallocate(SCRIP_CenterLat)
deallocate(SCRIP_CenterLon)
deallocate(SCRIP_CornerLat)
deallocate(SCRIP_CornerLon)
deallocate(sendData)
deallocate(GlobalCounts)
deallocate(recvCounts)
deallocate(recvOffsets)
call ESMF_Finalize(rc=status)
contains
subroutine GET_INT_FORMAT_(N, FMT)
integer :: N
character(len=*) :: FMT
IF(N < 10) THEN
FMT = 'I1'
ELSE IF (N< 100) THEN
FMT = 'I2'
ELSE IF (N< 1000) THEN
FMT = 'I3'
ELSE IF (N< 10000) THEN
FMT = 'I4'
else
FMT = 'I5'
end IF
end subroutine GET_INT_FORMAT_
subroutine DecomposeDim_( dim_world,dim,NDEs )
!
! From FMS/MPP
!
implicit none
integer dim_world, NDEs
integer dim(0:NDEs-1)
integer :: is,ie,isg,ieg
integer :: ndiv,ndivs,imax,ndmax,ndmirror,n
integer :: ibegin(0:NDEs-1)
integer :: iend(0:NDEs-1)
logical :: symmetrize
logical :: even, odd
even(n) = (mod(n,2).EQ.0)
odd (n) = (mod(n,2).EQ.1)
isg = 1
ieg = dim_world
ndivs = NDEs
is = isg
n = 0
do ndiv=0,ndivs-1
!modified for mirror-symmetry
!original line
! ie = is + CEILING( float(ieg-is+1)/(ndivs-ndiv) ) - 1
!problem of dividing nx points into n domains maintaining symmetry
!i.e nx=18 n=4 4554 and 5445 are solutions but 4455 is not.
!this will always work for nx even n even or odd
!this will always work for nx odd, n odd
!this will never work for nx odd, n even: for this case we supersede the mirror calculation
! symmetrize = .NOT. ( mod(ndivs,2).EQ.0 .AND. mod(ieg-isg+1,2).EQ.1 )
!nx even n odd fails if n>nx/2
symmetrize = ( even(ndivs) .AND. even(ieg-isg+1) ) .OR. &
( odd(ndivs) .AND. odd(ieg-isg+1) ) .OR. &
( odd(ndivs) .AND. even(ieg-isg+1) .AND. ndivs.LT.(ieg-isg+1)/2 )
!mirror domains are stored in the list and retrieved if required.
if( ndiv.EQ.0 )then
!initialize max points and max domains
imax = ieg
ndmax = ndivs
end if
!do bottom half of decomposition, going over the midpoint for odd ndivs
if( ndiv.LT.(ndivs-1)/2+1 )then
!domain is sized by dividing remaining points by remaining domains
ie = is + CEILING( REAL(imax-is+1)/(ndmax-ndiv) ) - 1
ndmirror = (ndivs-1) - ndiv !mirror domain
if( ndmirror.GT.ndiv .AND. symmetrize )then !only for domains over the midpoint
!mirror extents, the max(,) is to eliminate overlaps
ibegin(ndmirror) = max( isg+ieg-ie, ie+1 )
iend(ndmirror) = max( isg+ieg-is, ie+1 )
imax = ibegin(ndmirror) - 1
ndmax = ndmax - 1
end if
else
if( symmetrize )then
!do top half of decomposition by retrieving saved values
is = ibegin(ndiv)
ie = iend(ndiv)
else
ie = is + CEILING( REAL(imax-is+1)/(ndmax-ndiv) ) - 1
end if
end if
dim(ndiv) = ie-is+1
is = ie + 1
end do
end subroutine DecomposeDim_
!logical function MAPL_VRFY(A,iam,line,rc)
!integer, intent(IN ) :: A
!character*(*), intent(IN ) :: iam
!integer, intent(IN ) :: line
!integer, optional, intent(OUT) :: RC
!MAPL_VRFY = A/=ESMF_SUCCESS
!if(MAPL_VRFY)then
!if(present(RC)) then
!print'(A40,I10)',Iam,line
!RC=A
!endif
!endif
!end function MAPL_VRFY
!subroutine MAPL_Abort
!call ESMF_Finalize(endflag = ESMF_END_ABORT)
!end subroutine MAPL_Abort
!subroutine ESMF_GRID_INTERIOR(GRID,I1,IN,J1,JN)
!type (ESMF_Grid), intent(IN) :: grid
!integer, intent(OUT) :: I1, IN, J1, JN
!! local vars
!integer :: status
!character(len=ESMF_MAXSTR) :: IAm='ESMF_GridInterior'
!type (ESMF_DistGrid) :: distGrid
!type(ESMF_DELayout) :: LAYOUT
!integer, allocatable :: AL(:,:)
!integer, allocatable :: AU(:,:)
!integer :: nDEs
!integer :: deId
!integer :: gridRank
!integer :: deList(1)
!call ESMF_GridGet (GRID, dimCount=gridRank, distGrid=distGrid, rc=STATUS)
!call ESMF_DistGridGet(distGRID, delayout=layout, rc=STATUS)
!call ESMF_DELayoutGet(layout, deCount =nDEs, localDeList=deList, rc=status)
!deId = deList(1)
!allocate (AL(gridRank,0:nDEs-1), stat=status)
!allocate (AU(gridRank,0:nDEs-1), stat=status)
!call ESMF_DistGridGet(distgrid, &
!minIndexPDe=AL, maxIndexPDe=AU, rc=status)
!I1 = AL(1, deId)
!IN = AU(1, deId)
!! ASSERT_(gridRank > 1) !ALT: tilegrid is 1d (without RC this only for info)
!J1 = AL(2, deId)
!JN = AU(2, deId)
!deallocate(AU, AL)
!end subroutine ESMF_GRID_INTERIOR
!function angle_rad_2d ( p1, p2, p3 )
subroutine angle_rad_2d ( p1, p2, p3, res )
!*****************************************************************************80
!
!! ANGLE_RAD_2D returns the angle swept out between two rays in 2D.
!
! Discussion:
!
! Except for the zero angle case, it should be true that
!
! ANGLE_RAD_2D ( P1, P2, P3 ) + ANGLE_RAD_2D ( P3, P2, P1 ) = 2 * PI
!
! P1
! /
! /
! /
! /
! P2--------->P3
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 15 January 2005
!
! Author:
!
! John Burkardt
!
! Parameters:
!
! Input, real ( REAL64 ) P1(2), P2(2), P3(2), define the rays
! P1 - P2 and P3 - P2 which define the angle.
!
! Output, real ( REAL64 ) ANGLE_RAD_2D, the angle swept out by the rays,
! in radians. 0 <= ANGLE_RAD_2D < 2 * PI. If either ray has zero
! length, then ANGLE_RAD_2D is set to 0.
implicit none
integer, parameter :: dim_num = 2
real (REAL64), parameter :: pi = 3.141592653589793D+00
real (REAL64) p(dim_num)
real (REAL64) p1(dim_num)
real (REAL64) p2(dim_num)
real (REAL64) p3(dim_num)
real (REAL64) res
p(1) = ( p3(1) - p2(1) ) * ( p1(1) - p2(1) ) &
+ ( p3(2) - p2(2) ) * ( p1(2) - p2(2) )
p(2) = ( p3(1) - p2(1) ) * ( p1(2) - p2(2) ) &
- ( p3(2) - p2(2) ) * ( p1(1) - p2(1) )
if ( p(1) == 0.0D+00 .and. p(2) == 0.0D+00 ) then
res = 0.0D+00
return
end if
res = atan2 ( p(2), p(1) )
if ( res < 0.0D+00 ) then
res = res + 2.0D+00 * pi
end if
return
end
subroutine points_hull_2d ( node_num, node_xy, hull_num, hull )
!*****************************************************************************80
!
!! POINTS_HULL_2D computes the convex hull of 2D points.
!
! Discussion:
!
! The work involved is N*log(H), where N is the number of points, and H is
! the number of points that are on the hull.
!
! Licensing:
!
! This code is distributed under the GNU LGPL license.
!
! Modified:
!
! 12 June 2006
!
! Author:
!
! John Burkardt
!
! Parameters:
!
! Input, integer NODE_NUM, the number of nodes.
!
! Input, real ( REAL64 ) NODE_XY(2,NODE_NUM), the coordinates of the nodes.
!
! Output, integer HULL_NUM, the number of nodes that lie on
! the convex hull.
!
! Output, integer HULL(NODE_NUM). Entries 1 through HULL_NUM
! contain the indices of the nodes that form the convex hull, in order.
!
implicit none
integer node_num
real (REAL64) angle
real (REAL64) angle_max
real (REAL64) di
real (REAL64) dr
integer first
integer hull(node_num)
integer hull_num
integer i
real (REAL64) node_xy(2,node_num)
real (REAL64) p_xy(2)
integer q
real (REAL64) q_xy(2)
integer r
real (REAL64) r_xy(2)
if ( node_num < 1 ) then
hull_num = 0
return
end if
!
! If NODE_NUM = 1, the hull is the point.
!
if ( node_num == 1 ) then
hull_num = 1
hull(1) = 1
return
end if
!
! If NODE_NUM = 2, then the convex hull is either the two distinct points,
! or possibly a single (repeated) point.
!
if ( node_num == 2 ) then
if ( node_xy(1,1) /= node_xy(1,2) .or. node_xy(2,1) /= node_xy(2,2) ) then
hull_num = 2
hull(1) = 1
hull(2) = 2
else
hull_num = 1
hull(1) = 1
end if
return
end if
!
! Find the leftmost point and call it "Q".
! In case of ties, take the bottom-most.
!
q = 1
do i = 2, node_num
if ( node_xy(1,i) < node_xy(1,q) .or. &
( node_xy(1,i) == node_xy(1,q) .and. node_xy(2,i) < node_xy(2,q) ) ) then
q = i
end if
end do
q_xy(1:2) = node_xy(1:2,q)
!
! Remember the starting point, so we know when to stop!
!
first = q
hull_num = 1
hull(1) = q
!
! For the first point, make a dummy previous point, 1 unit south,
! and call it "P".
!
p_xy(1) = q_xy(1)
p_xy(2) = q_xy(2) - 1.0D+00
!
! Now, having old point P, and current point Q, find the new point R
! so the angle PQR is maximal.
!
! Watch out for the possibility that the two nodes are identical.
!
do
r = 0
angle_max = 0.0D+00
do i = 1, node_num
if ( i /= q .and. &
( node_xy(1,i) /= q_xy(1) .or. node_xy(2,i) /= q_xy(2) ) ) then
call angle_rad_2d(p_xy, q_xy, node_xy(1:2,i),angle)
!angle = angle_rad_2d ( p_xy, q_xy, node_xy(1:2,i) )
if ( r == 0 .or. angle_max < angle ) then
r = i
r_xy(1:2) = node_xy(1:2,r)
angle_max = angle
!
! In case of ties, choose the nearer point.
!
else if ( r /= 0 .and. angle == angle_max ) then
di = ( node_xy(1,i) - q_xy(1) )**2 + ( node_xy(2,i) - q_xy(2) )**2
dr = ( r_xy(1) - q_xy(1) )**2 + ( r_xy(2) - q_xy(2) )**2
if ( di < dr ) then
r = i
r_xy(1:2) = node_xy(1:2,r)
angle_max = angle
end if
end if
end if
end do
!
! We are done when we have returned to the first point on the convex hull.
!
if ( r == first ) then
exit
end if
hull_num = hull_num + 1
if ( node_num < hull_num ) then
write ( *, '(a)' ) ' '
write ( *, '(a)' ) 'POINTS_HULL_2D - Fatal error!'
write ( *, '(a)' ) ' The algorithm has failed.'
stop
end if
!
! Add point R to convex hull.
!
hull(hull_num) = r
!
! Set P := Q, Q := R, and prepare to search for next point R.
!
q = r
p_xy(1:2) = q_xy(1:2)
q_xy(1:2) = r_xy(1:2)
end do
return
end
end program ESMF_GenerateCSGridDescription