| 1 |
#include "EXF_OPTIONS.h" |
| 2 |
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
| 3 |
C Flux Coupler using C |
| 4 |
C Bilinear interpolation of forcing fields C |
| 5 |
C C |
| 6 |
C B. Cheng (12/2002) C |
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C C |
| 8 |
C added Bicubic (bnc 1/2003) C |
| 9 |
C C |
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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|
| 12 |
real*8 function lagran(i,x,a,sp) |
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|
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INTEGER i,k,sp |
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_RS x |
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real*8 a(4) |
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real*8 numer,denom |
| 18 |
|
| 19 |
numer = 1.D0 |
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denom = 1.D0 |
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|
| 22 |
do k=1,sp |
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if ( k .ne. i) then |
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denom = denom*(a(i) - a(k)) |
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numer = numer*(x - a(k)) |
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endif |
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enddo |
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|
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lagran = numer/denom |
| 30 |
|
| 31 |
return |
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end |
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|
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|
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SUBROUTINE exf_interp( |
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I infile, |
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I filePrec, |
| 38 |
O arrayout, |
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I irecord, xG, yG, |
| 40 |
I lon_0, lon_inc, |
| 41 |
I lat_0, lat_inc, |
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I nx_in, ny_in, method, mythid) |
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|
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implicit none |
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|
| 46 |
C infile = name of the input file (direct access binary) |
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C filePrec = file precicision (currently not used, assumes real*4) |
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C arrout = output arrays (different for each processor) |
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C irecord = record number in global file |
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C xG,yG = coordinates for output grid |
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C lon_0, lat_0 = lon and lat of sw corner of global input grid |
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C lon_inc = scalar x-grid increment |
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C lat_inc = vector y-grid increments |
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C nx_in, ny_in = input x-grid and y-grid size |
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C method = 1 for bilinear 2 for bicubic |
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C mythid = thread id |
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C |
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|
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#ifdef ALLOW_USE_MPI |
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# include "EESUPPORT.h" |
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#endif /* ALLOW_USE_MPI */ |
| 64 |
#include "PARAMS.h" |
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|
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C subroutine variables |
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character*(*) infile |
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integer filePrec, irecord, nx_in, ny_in |
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_RL arrayout(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS xG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS yG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL lon_0, lon_inc |
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_RL lat_0, lat_inc(ny_in-1) |
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integer method, mythid |
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|
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C Functions |
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integer MDS_RECLEN |
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|
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C local variables |
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integer ierr, length_of_rec |
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real*8 ne_fac,nw_fac,se_fac,sw_fac |
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integer e_ind(snx,sny),w_ind(snx,sny) |
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integer n_ind(snx,sny),s_ind(snx,sny) |
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real*8 px_ind(4), py_ind(4), ew_val(4) |
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external lagran |
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real*8 lagran |
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real*4 arrayin(-1:nx_in+2 , -1:ny_in+2) |
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real*8 x_in (-1:nx_in+2), y_in(-1:ny_in+2) |
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integer i, j, k, l, js, bi, bj, sp, interp_unit |
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real*4 global(nx_in,ny_in) |
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|
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_BEGIN_MASTER( myThid ) |
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|
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C check input arguments |
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if ( .NOT. (filePrec .EQ. 32) ) |
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& stop 'stop in exf_interp.F: value of filePrec not allowed' |
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|
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C read in input data |
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#ifdef ALLOW_USE_MPI |
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if (useSingleCPUIO) then |
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|
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C master thread of process 0, only, opens a global file |
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IF( mpiMyId .EQ. 0 ) THEN |
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call mdsfindunit( interp_unit, mythid) |
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length_of_rec=MDS_RECLEN( filePrec, nx_in*ny_in, mythid ) |
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open(interp_unit,file=infile,status='old',access='direct', |
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& recl=length_of_rec) |
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read(interp_unit,rec=irecord) |
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& ((global(i,j),i=1,nx_in),j=1,ny_in) |
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close(interp_unit) |
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ENDIF |
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|
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C broadcast to all processes |
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call MPI_BCAST(global,nx_in*ny_in,MPI_REAL, |
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& 0,MPI_COMM_MODEL,ierr) |
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do j=1,ny_in |
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do i=1,nx_in |
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arrayin(i,j)=global(i,j) |
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enddo |
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enddo |
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|
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else |
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#endif /* ALLOW_USE_MPI */ |
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|
| 125 |
call mdsfindunit( interp_unit, mythid) |
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length_of_rec=MDS_RECLEN( filePrec, nx_in*ny_in, mythid ) |
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open(interp_unit,file=infile,status='old',access='direct', |
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& recl=length_of_rec) |
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read(interp_unit,rec=irecord) |
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& ((arrayin(i,j),i=1,nx_in),j=1,ny_in) |
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close(interp_unit) |
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|
| 133 |
#ifdef ALLOW_USE_MPI |
| 134 |
endif |
| 135 |
#endif /* ALLOW_USE_MPI */ |
| 136 |
|
| 137 |
#ifdef _BYTESWAPIO |
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call MDS_BYTESWAPR4((nx_in+4)*(ny_in+4), arrayin ) |
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#endif /* _BYTESWAPIO */ |
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|
| 141 |
C setup input grid |
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do i=-1,nx_in+2 |
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x_in(i) = lon_0 + (i-1.)*lon_inc |
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enddo |
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y_in(0) = lat_0 - lat_inc(1) |
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y_in(-1)= lat_0 - 2.*lat_inc(1) |
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y_in(1) = lat_0 |
| 148 |
do j=2,ny_in |
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y_in(j) = y_in(j-1) + lat_inc(j-1) |
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enddo |
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y_in(ny_in+1) = y_in(ny_in) + lat_inc(ny_in-1) |
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y_in(ny_in+2) = y_in(ny_in) + 2.*lat_inc(ny_in-1) |
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|
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C enlarge boundary |
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do j=1,ny_in |
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arrayin(0,j) = arrayin(nx_in,j) |
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arrayin(-1,j) = arrayin(nx_in-1,j) |
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arrayin(nx_in+1,j) = arrayin(1,j) |
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arrayin(nx_in+2,j) = arrayin(2,j) |
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enddo |
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do i=-1,nx_in+2 |
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arrayin(i,0) = arrayin(i,1) |
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arrayin(i,-1) = arrayin(i,1) |
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arrayin(i,ny_in+1) = arrayin(i,ny_in) |
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arrayin(i,ny_in+2) = arrayin(i,ny_in) |
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enddo |
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|
| 168 |
_END_MASTER( myThid ) |
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|
| 170 |
do bj = mybylo(mythid), mybyhi(mythid) |
| 171 |
do bi = mybxlo(mythid), mybxhi(mythid) |
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|
| 173 |
C check validity of input/output coordinates |
| 174 |
#ifdef ALLOW_DEBUG |
| 175 |
if ( debugLevel .ge. debLevB ) then |
| 176 |
do i=1,snx |
| 177 |
do j=1,sny |
| 178 |
if ( xG(i,j,bi,bj) .lt. x_in(0) .or. |
| 179 |
& xG(i,j,bi,bj) .ge. x_in(nx_in+1) .or. |
| 180 |
& yG(i,j,bi,bj) .lt. y_in(0) .or. |
| 181 |
& yG(i,j,bi,bj) .ge. y_in(ny_in+1) ) then |
| 182 |
print*,'ERROR in S/R EXF_INTERP:' |
| 183 |
print*,' input grid must encompass output grid.' |
| 184 |
print*,'i,j,bi,bj' ,i,j,bi,bj |
| 185 |
print*,'xG,yG' ,xG(i,j,bi,bj),yG(i,j,bi,bj) |
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print*,'nx_in,ny_in' ,nx_in ,ny_in |
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print*,'x_in(0,nx_in+1)',x_in(0) ,x_in(nx_in+1) |
| 188 |
print*,'y_in(0,ny_in+1)',y_in(0) ,y_in(ny_in+1) |
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STOP ' ABNORMAL END: S/R EXF_INTERP' |
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endif |
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enddo |
| 192 |
enddo |
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endif |
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#endif /* ALLOW_DEBUG */ |
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|
| 196 |
C compute interpolation indices |
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do i=1,snx |
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do j=1,sny |
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if (xG(i,j,bi,bj)-x_in(1) .ge. 0.) then |
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w_ind(i,j) = int((xG(i,j,bi,bj)-x_in(1))/lon_inc) + 1 |
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else |
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w_ind(i,j) = int((xG(i,j,bi,bj)-x_in(1))/lon_inc) |
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endif |
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e_ind(i,j) = w_ind(i,j) + 1 |
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js = ny_in*.5 |
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do while (yG(i,j,bi,bj) .lt. y_in(js)) |
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js = (js - 1)*.5 |
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enddo |
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do while (yG(i,j,bi,bj) .ge. y_in(js+1)) |
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js = js + 1 |
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enddo |
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s_ind(i,j) = js |
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n_ind(i,j) = js + 1 |
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enddo |
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enddo |
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|
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if (method .eq. 1) then |
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|
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C bilinear interpolation |
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sp = 2 |
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do j=1,sny |
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do i=1,snx |
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arrayout(i,j,bi,bj) = 0. |
| 224 |
do l=0,1 |
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px_ind(l+1) = x_in(w_ind(i,j)+l) |
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py_ind(l+1) = y_in(s_ind(i,j)+l) |
| 227 |
enddo |
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do k=1,2 |
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ew_val(k) = arrayin(w_ind(i,j),s_ind(i,j)+k-1) |
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& *lagran(1,xG(i,j,bi,bj),px_ind,sp) |
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& +arrayin(e_ind(i,j),s_ind(i,j)+k-1) |
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& *lagran(2,xG(i,j,bi,bj),px_ind,sp) |
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arrayout(i,j,bi,bj)=arrayout(i,j,bi,bj) |
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& +ew_val(k)*lagran(k,yG(i,j,bi,bj),py_ind,sp) |
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enddo |
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enddo |
| 237 |
enddo |
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elseif (method .eq. 2) then |
| 239 |
|
| 240 |
C bicubic interpolation |
| 241 |
sp = 4 |
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do j=1,sny |
| 243 |
do i=1,snx |
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arrayout(i,j,bi,bj) = 0. |
| 245 |
do l=-1,2 |
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px_ind(l+2) = x_in(w_ind(i,j)+l) |
| 247 |
py_ind(l+2) = y_in(s_ind(i,j)+l) |
| 248 |
enddo |
| 249 |
do k=1,4 |
| 250 |
ew_val(k) = |
| 251 |
& arrayin(w_ind(i,j)-1,s_ind(i,j)+k-2) |
| 252 |
& *lagran(1,xG(i,j,bi,bj),px_ind,sp) |
| 253 |
& +arrayin(w_ind(i,j) ,s_ind(i,j)+k-2) |
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& *lagran(2,xG(i,j,bi,bj),px_ind,sp) |
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& +arrayin(e_ind(i,j) ,s_ind(i,j)+k-2) |
| 256 |
& *lagran(3,xG(i,j,bi,bj),px_ind,sp) |
| 257 |
& +arrayin(e_ind(i,j)+1,s_ind(i,j)+k-2) |
| 258 |
& *lagran(4,xG(i,j,bi,bj),px_ind,sp) |
| 259 |
arrayout(i,j,bi,bj)=arrayout(i,j,bi,bj) |
| 260 |
& +ew_val(k)*lagran(k,yG(i,j,bi,bj),py_ind,sp) |
| 261 |
enddo |
| 262 |
enddo |
| 263 |
enddo |
| 264 |
else |
| 265 |
stop 'stop in exf_interp.F: interpolation method not supported' |
| 266 |
endif |
| 267 |
enddo |
| 268 |
enddo |
| 269 |
|
| 270 |
END |
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