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#include "EXF_CPPOPTIONS.h" |
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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C Flux Coupler using C |
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C Bilinear interpolation of forcing fields C |
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C C |
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C B. Cheng (12/2002) C |
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C C |
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C added Bicubic (bnc 1/2003) C |
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C C |
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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|
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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 |
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|
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numer = 1.D0 |
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denom = 1.D0 |
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|
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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 |
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|
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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, |
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O arrayout, |
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I irecord, xG, yG, |
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I lon_0, lon_inc, |
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I lat_0, lat_inc, |
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I nx_in, ny_in, method, mythid) |
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|
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C |
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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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|
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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 local variables |
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integer ierr |
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real*8 ne_fac,nw_fac,se_fac,sw_fac |
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integer e_ind(snx),w_ind(snx) |
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integer n_ind(sny),s_ind(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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|
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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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call mdsfindunit( interp_unit, mythid) |
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open(interp_unit,file=infile,status='old',access='direct', |
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& recl=nx_in*ny_in*4) |
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read(interp_unit,rec=irecord) ((arrayin(i,j),i=1,nx_in),j=1,ny_in) |
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#ifdef _BYTESWAPIO |
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call MDS_BYTESWAPR4((nx_in+4)*(ny_in+4), arrayin ) |
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#endif |
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close(interp_unit) |
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|
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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 |
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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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|
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do bj = mybylo(mythid), mybyhi(mythid) |
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do bi = mybxlo(mythid), mybxhi(mythid) |
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|
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C check validity of input/output coordinates |
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if ( xG(1,1 ,bi,bj) .le. x_in(0) .or. |
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& xG(snx,1,bi,bj) .ge. x_in(nx_in+1) .or. |
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& yG(1,1 ,bi,bj) .lt. y_in(1) .or. |
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& yG(1,sny,bi,bj) .gt. y_in(ny_in) ) then |
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print*,'ERROR in S/R EXF_INTERP:' |
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print*,' input grid must encompass output grid.' |
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STOP ' ABNORMAL END: S/R EXF_INTERP' |
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endif |
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|
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C compute interpolation indices |
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do i=1,snx |
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if (xG(i,1,bi,bj)-x_in(1) .ge. 0.) then |
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w_ind(i) = int((xG(i,1,bi,bj)-x_in(1))/lon_inc) + 1 |
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else |
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w_ind(i) = int((xG(i,1,bi,bj)-x_in(1))/lon_inc) |
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endif |
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e_ind(i) = w_ind(i) + 1 |
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enddo |
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js = ny_in/2 |
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do j=1,sny |
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do while (yG(1,j,bi,bj) .lt. y_in(js)) |
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js = (js + 1)/2 |
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enddo |
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do while (yG(1,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(j) = js |
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n_ind(j) = js + 1 |
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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. |
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do l=0,1 |
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px_ind(l+1) = x_in(w_ind(i)+l) |
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py_ind(l+1) = y_in(s_ind(j)+l) |
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enddo |
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do k=1,2 |
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ew_val(k) = arrayin(w_ind(i),s_ind(j)+k-1) |
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& *lagran(1,xG(i,1,bi,bj),px_ind,sp) |
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& +arrayin(e_ind(i),s_ind(j)+k-1) |
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& *lagran(2,xG(i,1,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(1,j,bi,bj),py_ind,sp) |
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enddo |
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enddo |
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enddo |
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elseif (method .eq. 2) then |
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|
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C bicubic interpolation |
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sp = 4 |
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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. |
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do l=-1,2 |
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px_ind(l+2) = x_in(w_ind(i)+l) |
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py_ind(l+2) = y_in(s_ind(j)+l) |
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enddo |
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do k=1,4 |
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ew_val(k) = |
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& arrayin(w_ind(i)-1,s_ind(j)+k-2) |
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& *lagran(1,xG(i,1,bi,bj),px_ind,sp) |
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& +arrayin(w_ind(i) ,s_ind(j)+k-2) |
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& *lagran(2,xG(i,1,bi,bj),px_ind,sp) |
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& +arrayin(e_ind(i) ,s_ind(j)+k-2) |
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& *lagran(3,xG(i,1,bi,bj),px_ind,sp) |
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& +arrayin(e_ind(i)+1,s_ind(j)+k-2) |
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& *lagran(4,xG(i,1,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(1,j,bi,bj),py_ind,sp) |
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enddo |
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enddo |
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enddo |
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else |
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stop 'stop in exf_interp.F: interpolation method not supported' |
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endif |
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enddo |
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enddo |
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|
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END |
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