| 1 |
edhill |
1.3 |
#include "EXF_OPTIONS.h" |
| 2 |
dimitri |
1.1 |
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
| 3 |
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C Flux Coupler using C |
| 4 |
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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 |
| 10 |
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 12 |
dimitri |
1.2 |
real*8 function lagran(i,x,a,sp) |
| 13 |
dimitri |
1.1 |
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| 14 |
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INTEGER i,k,sp |
| 15 |
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_RS x |
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real*8 a(4) |
| 17 |
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real*8 numer,denom |
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| 19 |
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numer = 1.D0 |
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denom = 1.D0 |
| 21 |
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| 22 |
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do k=1,sp |
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if ( k .ne. i) then |
| 24 |
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denom = denom*(a(i) - a(k)) |
| 25 |
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numer = numer*(x - a(k)) |
| 26 |
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endif |
| 27 |
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enddo |
| 28 |
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| 29 |
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lagran = numer/denom |
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| 31 |
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return |
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end |
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SUBROUTINE exf_interp( |
| 36 |
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I infile, |
| 37 |
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I filePrec, |
| 38 |
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O arrayout, |
| 39 |
heimbach |
1.13 |
I irecord, xG_in, yG, |
| 40 |
dimitri |
1.2 |
I lon_0, lon_inc, |
| 41 |
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I lat_0, lat_inc, |
| 42 |
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I nx_in, ny_in, method, mythid) |
| 43 |
dimitri |
1.1 |
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| 44 |
dimitri |
1.4 |
implicit none |
| 45 |
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| 46 |
dimitri |
1.2 |
C infile = name of the input file (direct access binary) |
| 47 |
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C filePrec = file precicision (currently not used, assumes real*4) |
| 48 |
dimitri |
1.1 |
C arrout = output arrays (different for each processor) |
| 49 |
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C irecord = record number in global file |
| 50 |
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C xG,yG = coordinates for output grid |
| 51 |
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C lon_0, lat_0 = lon and lat of sw corner of global input grid |
| 52 |
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C lon_inc = scalar x-grid increment |
| 53 |
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C lat_inc = vector y-grid increments |
| 54 |
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C nx_in, ny_in = input x-grid and y-grid size |
| 55 |
dimitri |
1.15 |
C method = 1,11,21 for bilinear; 2,12,22 for bicubic |
| 56 |
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C 1,2 for tracer; 11,12 for U; 21,22 for V |
| 57 |
dimitri |
1.2 |
C mythid = thread id |
| 58 |
dimitri |
1.1 |
C |
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| 60 |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
| 62 |
adcroft |
1.7 |
#include "PARAMS.h" |
| 63 |
dimitri |
1.2 |
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| 64 |
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C subroutine variables |
| 65 |
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character*(*) infile |
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integer filePrec, irecord, nx_in, ny_in |
| 67 |
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_RL arrayout(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 68 |
heimbach |
1.12 |
_RS xG_in (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 69 |
dimitri |
1.2 |
_RS yG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 70 |
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_RL lon_0, lon_inc |
| 71 |
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_RL lat_0, lat_inc(ny_in-1) |
| 72 |
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integer method, mythid |
| 73 |
dimitri |
1.1 |
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| 74 |
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C local variables |
| 75 |
dimitri |
1.5 |
integer e_ind(snx,sny),w_ind(snx,sny) |
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integer n_ind(snx,sny),s_ind(snx,sny) |
| 77 |
dimitri |
1.2 |
real*8 px_ind(4), py_ind(4), ew_val(4) |
| 78 |
dimitri |
1.1 |
external lagran |
| 79 |
dimitri |
1.2 |
real*8 lagran |
| 80 |
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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) |
| 82 |
dimitri |
1.17 |
real*8 ninety |
| 83 |
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PARAMETER ( ninety = 90. ) |
| 84 |
dimitri |
1.5 |
integer i, j, k, l, js, bi, bj, sp, interp_unit |
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heimbach |
1.13 |
_RS xG(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 86 |
dimitri |
1.15 |
_RS threeSixtyRS, NorthValue |
| 87 |
heimbach |
1.13 |
PARAMETER ( threeSixtyRS = 360. ) |
| 88 |
heimbach |
1.12 |
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jmc |
1.14 |
C put xG in interval [ lon_0 , lon_0+360 [ |
| 90 |
heimbach |
1.12 |
do bj=myByLo(myThid),myByHi(myThid) |
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do bi=myBxLo(myThid),myBxHi(myThid) |
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do j=1-OLy,sNy+OLy |
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do i=1-OLx,sNx+OLx |
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jmc |
1.14 |
xG(i,j,bi,bj) = xG_in(i,j,bi,bj)-lon_0 |
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& + threeSixtyRS*2. |
| 96 |
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xG(i,j,bi,bj) = lon_0+mod(xG(i,j,bi,bj),threeSixtyRS) |
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heimbach |
1.12 |
enddo |
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enddo |
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enddo |
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enddo |
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heimbach |
1.9 |
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| 102 |
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call exf_interp_read( |
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dimitri |
1.15 |
I infile, filePrec, |
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heimbach |
1.9 |
O arrayin, |
| 105 |
dimitri |
1.15 |
I irecord, nx_in, ny_in, mythid) |
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cnh |
1.11 |
_BARRIER |
| 107 |
dimitri |
1.4 |
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cnh |
1.11 |
C _BEGIN_MASTER( myThid ) |
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dimitri |
1.2 |
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| 110 |
dimitri |
1.1 |
C setup input grid |
| 111 |
dimitri |
1.4 |
do i=-1,nx_in+2 |
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jmc |
1.14 |
x_in(i) = lon_0 + (i-1)*lon_inc |
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dimitri |
1.4 |
enddo |
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heimbach |
1.12 |
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dimitri |
1.4 |
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) |
| 120 |
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enddo |
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dimitri |
1.15 |
c y_in(ny_in+1) = y_in(ny_in) + lat_inc(ny_in-1) |
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c y_in(ny_in+2) = y_in(ny_in) + 2.*lat_inc(ny_in-1) |
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dimitri |
1.16 |
y_in(ny_in+1) = min( y_in(ny_in) + lat_inc(ny_in-1), ninety ) |
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y_in(ny_in+2) = min( y_in(ny_in) + 2.*lat_inc(ny_in-1), ninety ) |
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dimitri |
1.1 |
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C enlarge boundary |
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dimitri |
1.4 |
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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dimitri |
1.15 |
C For tracer (method=1,2) set to northernmost zonal-mean value |
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C at 90N to avoid sharp zonal gradients near the Pole. |
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C For U (method=11,12) set to zero at 90N to minimize velocity |
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C gradient at North Pole |
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C For V (method=11,12) set to northernmost zonal value at 90N, |
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C as is already done above in order to allow cross-PoleArctic flow |
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dimitri |
1.16 |
if (y_in(ny_in+1).eq.ninety) then |
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dimitri |
1.15 |
if (method.eq.1 .or. method.eq.2) then |
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NorthValue = 0 |
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do i=1,nx_in |
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NorthValue = NorthValue + arrayin(i,ny_in) |
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enddo |
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NorthValue = NorthValue / nx_in |
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do i=-1,nx_in+2 |
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arrayin(i,ny_in+1) = NorthValue |
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enddo |
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elseif (method.eq.11 .or. method.eq.12) then |
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do i=-1,nx_in+2 |
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arrayin(i,ny_in+1) = 0 |
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enddo |
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endif |
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endif |
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dimitri |
1.16 |
if (y_in(ny_in+2).eq.ninety) then |
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dimitri |
1.15 |
if (method.eq.1 .or. method.eq.2) then |
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NorthValue = 0 |
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do i=1,nx_in |
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NorthValue = NorthValue + arrayin(i,ny_in) |
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enddo |
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NorthValue = NorthValue / nx_in |
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do i=-1,nx_in+2 |
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arrayin(i,ny_in+2) = NorthValue |
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enddo |
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elseif (method.eq.11 .or. method.eq.12) then |
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do i=-1,nx_in+2 |
| 174 |
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arrayin(i,ny_in+2) = 0 |
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enddo |
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endif |
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endif |
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cnh |
1.11 |
C _END_MASTER( myThid ) |
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dimitri |
1.15 |
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| 181 |
dimitri |
1.2 |
do bj = mybylo(mythid), mybyhi(mythid) |
| 182 |
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do bi = mybxlo(mythid), mybxhi(mythid) |
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| 184 |
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C check validity of input/output coordinates |
| 185 |
dimitri |
1.6 |
#ifdef ALLOW_DEBUG |
| 186 |
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if ( debugLevel .ge. debLevB ) then |
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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) .lt. x_in(0) .or. |
| 190 |
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& xG(i,j,bi,bj) .ge. x_in(nx_in+1) .or. |
| 191 |
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& yG(i,j,bi,bj) .lt. y_in(0) .or. |
| 192 |
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& yG(i,j,bi,bj) .ge. y_in(ny_in+1) ) then |
| 193 |
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print*,'ERROR in S/R EXF_INTERP:' |
| 194 |
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print*,' input grid must encompass output grid.' |
| 195 |
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print*,'i,j,bi,bj' ,i,j,bi,bj |
| 196 |
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print*,'xG,yG' ,xG(i,j,bi,bj),yG(i,j,bi,bj) |
| 197 |
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print*,'nx_in,ny_in' ,nx_in ,ny_in |
| 198 |
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print*,'x_in(0,nx_in+1)',x_in(0) ,x_in(nx_in+1) |
| 199 |
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print*,'y_in(0,ny_in+1)',y_in(0) ,y_in(ny_in+1) |
| 200 |
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STOP ' ABNORMAL END: S/R EXF_INTERP' |
| 201 |
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endif |
| 202 |
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enddo |
| 203 |
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enddo |
| 204 |
dimitri |
1.2 |
endif |
| 205 |
dimitri |
1.6 |
#endif /* ALLOW_DEBUG */ |
| 206 |
dimitri |
1.1 |
|
| 207 |
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C compute interpolation indices |
| 208 |
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do i=1,snx |
| 209 |
dimitri |
1.5 |
do j=1,sny |
| 210 |
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if (xG(i,j,bi,bj)-x_in(1) .ge. 0.) then |
| 211 |
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w_ind(i,j) = int((xG(i,j,bi,bj)-x_in(1))/lon_inc) + 1 |
| 212 |
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else |
| 213 |
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w_ind(i,j) = int((xG(i,j,bi,bj)-x_in(1))/lon_inc) |
| 214 |
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endif |
| 215 |
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e_ind(i,j) = w_ind(i,j) + 1 |
| 216 |
dimitri |
1.6 |
js = ny_in*.5 |
| 217 |
dimitri |
1.5 |
do while (yG(i,j,bi,bj) .lt. y_in(js)) |
| 218 |
dimitri |
1.6 |
js = (js - 1)*.5 |
| 219 |
dimitri |
1.5 |
enddo |
| 220 |
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do while (yG(i,j,bi,bj) .ge. y_in(js+1)) |
| 221 |
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js = js + 1 |
| 222 |
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enddo |
| 223 |
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s_ind(i,j) = js |
| 224 |
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n_ind(i,j) = js + 1 |
| 225 |
dimitri |
1.2 |
enddo |
| 226 |
dimitri |
1.1 |
enddo |
| 227 |
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| 228 |
dimitri |
1.15 |
if (method.eq.1 .or. method.eq.11 .or. method.eq.21) then |
| 229 |
dimitri |
1.1 |
|
| 230 |
dimitri |
1.2 |
C bilinear interpolation |
| 231 |
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sp = 2 |
| 232 |
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do j=1,sny |
| 233 |
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do i=1,snx |
| 234 |
dimitri |
1.1 |
arrayout(i,j,bi,bj) = 0. |
| 235 |
dimitri |
1.2 |
do l=0,1 |
| 236 |
dimitri |
1.5 |
px_ind(l+1) = x_in(w_ind(i,j)+l) |
| 237 |
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py_ind(l+1) = y_in(s_ind(i,j)+l) |
| 238 |
dimitri |
1.1 |
enddo |
| 239 |
dimitri |
1.2 |
do k=1,2 |
| 240 |
dimitri |
1.5 |
ew_val(k) = arrayin(w_ind(i,j),s_ind(i,j)+k-1) |
| 241 |
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& *lagran(1,xG(i,j,bi,bj),px_ind,sp) |
| 242 |
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& +arrayin(e_ind(i,j),s_ind(i,j)+k-1) |
| 243 |
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& *lagran(2,xG(i,j,bi,bj),px_ind,sp) |
| 244 |
dimitri |
1.2 |
arrayout(i,j,bi,bj)=arrayout(i,j,bi,bj) |
| 245 |
dimitri |
1.5 |
& +ew_val(k)*lagran(k,yG(i,j,bi,bj),py_ind,sp) |
| 246 |
dimitri |
1.1 |
enddo |
| 247 |
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enddo |
| 248 |
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enddo |
| 249 |
dimitri |
1.15 |
elseif (method .eq. 2 .or. method.eq.12 .or. method.eq.22) then |
| 250 |
dimitri |
1.1 |
|
| 251 |
dimitri |
1.2 |
C bicubic interpolation |
| 252 |
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sp = 4 |
| 253 |
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do j=1,sny |
| 254 |
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do i=1,snx |
| 255 |
dimitri |
1.1 |
arrayout(i,j,bi,bj) = 0. |
| 256 |
dimitri |
1.2 |
do l=-1,2 |
| 257 |
dimitri |
1.5 |
px_ind(l+2) = x_in(w_ind(i,j)+l) |
| 258 |
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py_ind(l+2) = y_in(s_ind(i,j)+l) |
| 259 |
dimitri |
1.1 |
enddo |
| 260 |
dimitri |
1.2 |
do k=1,4 |
| 261 |
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ew_val(k) = |
| 262 |
dimitri |
1.5 |
& arrayin(w_ind(i,j)-1,s_ind(i,j)+k-2) |
| 263 |
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& *lagran(1,xG(i,j,bi,bj),px_ind,sp) |
| 264 |
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& +arrayin(w_ind(i,j) ,s_ind(i,j)+k-2) |
| 265 |
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& *lagran(2,xG(i,j,bi,bj),px_ind,sp) |
| 266 |
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& +arrayin(e_ind(i,j) ,s_ind(i,j)+k-2) |
| 267 |
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& *lagran(3,xG(i,j,bi,bj),px_ind,sp) |
| 268 |
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& +arrayin(e_ind(i,j)+1,s_ind(i,j)+k-2) |
| 269 |
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& *lagran(4,xG(i,j,bi,bj),px_ind,sp) |
| 270 |
dimitri |
1.2 |
arrayout(i,j,bi,bj)=arrayout(i,j,bi,bj) |
| 271 |
dimitri |
1.5 |
& +ew_val(k)*lagran(k,yG(i,j,bi,bj),py_ind,sp) |
| 272 |
dimitri |
1.1 |
enddo |
| 273 |
dimitri |
1.2 |
enddo |
| 274 |
dimitri |
1.1 |
enddo |
| 275 |
dimitri |
1.2 |
else |
| 276 |
|
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stop 'stop in exf_interp.F: interpolation method not supported' |
| 277 |
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endif |
| 278 |
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enddo |
| 279 |
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enddo |
| 280 |
dimitri |
1.1 |
|
| 281 |
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END |
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