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 |
5 |
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C C |
6 |
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C B. Cheng (12/2002) C |
7 |
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C C |
8 |
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C added Bicubic (bnc 1/2003) C |
9 |
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C C |
10 |
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CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
11 |
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12 |
dimitri |
1.2 |
real*8 function lagran(i,x,a,sp) |
13 |
dimitri |
1.1 |
|
14 |
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INTEGER i,k,sp |
15 |
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_RS x |
16 |
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real*8 a(4) |
17 |
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real*8 numer,denom |
18 |
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19 |
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numer = 1.D0 |
20 |
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denom = 1.D0 |
21 |
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22 |
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do k=1,sp |
23 |
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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 |
30 |
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31 |
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return |
32 |
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end |
33 |
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34 |
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35 |
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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 |
|
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 |
59 |
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60 |
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#include "SIZE.h" |
61 |
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#include "EEPARAMS.h" |
62 |
adcroft |
1.7 |
#include "PARAMS.h" |
63 |
dimitri |
1.2 |
|
64 |
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C subroutine variables |
65 |
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character*(*) infile |
66 |
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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 |
|
74 |
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C local variables |
75 |
dimitri |
1.5 |
integer e_ind(snx,sny),w_ind(snx,sny) |
76 |
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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) |
81 |
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real*8 x_in (-1:nx_in+2), y_in(-1:ny_in+2) |
82 |
dimitri |
1.5 |
integer i, j, k, l, js, bi, bj, sp, interp_unit |
83 |
heimbach |
1.13 |
_RS xG(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
84 |
dimitri |
1.15 |
_RS threeSixtyRS, NorthValue |
85 |
heimbach |
1.13 |
PARAMETER ( threeSixtyRS = 360. ) |
86 |
heimbach |
1.12 |
|
87 |
jmc |
1.14 |
C put xG in interval [ lon_0 , lon_0+360 [ |
88 |
heimbach |
1.12 |
do bj=myByLo(myThid),myByHi(myThid) |
89 |
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do bi=myBxLo(myThid),myBxHi(myThid) |
90 |
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do j=1-OLy,sNy+OLy |
91 |
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do i=1-OLx,sNx+OLx |
92 |
jmc |
1.14 |
xG(i,j,bi,bj) = xG_in(i,j,bi,bj)-lon_0 |
93 |
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& + threeSixtyRS*2. |
94 |
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xG(i,j,bi,bj) = lon_0+mod(xG(i,j,bi,bj),threeSixtyRS) |
95 |
heimbach |
1.12 |
enddo |
96 |
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enddo |
97 |
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enddo |
98 |
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enddo |
99 |
heimbach |
1.9 |
|
100 |
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call exf_interp_read( |
101 |
dimitri |
1.15 |
I infile, filePrec, |
102 |
heimbach |
1.9 |
O arrayin, |
103 |
dimitri |
1.15 |
I irecord, nx_in, ny_in, mythid) |
104 |
cnh |
1.11 |
_BARRIER |
105 |
dimitri |
1.4 |
|
106 |
cnh |
1.11 |
C _BEGIN_MASTER( myThid ) |
107 |
dimitri |
1.2 |
|
108 |
dimitri |
1.1 |
C setup input grid |
109 |
dimitri |
1.4 |
do i=-1,nx_in+2 |
110 |
jmc |
1.14 |
x_in(i) = lon_0 + (i-1)*lon_inc |
111 |
dimitri |
1.4 |
enddo |
112 |
heimbach |
1.12 |
|
113 |
dimitri |
1.4 |
y_in(0) = lat_0 - lat_inc(1) |
114 |
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y_in(-1)= lat_0 - 2.*lat_inc(1) |
115 |
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y_in(1) = lat_0 |
116 |
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do j=2,ny_in |
117 |
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y_in(j) = y_in(j-1) + lat_inc(j-1) |
118 |
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enddo |
119 |
dimitri |
1.15 |
c y_in(ny_in+1) = y_in(ny_in) + lat_inc(ny_in-1) |
120 |
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c y_in(ny_in+2) = y_in(ny_in) + 2.*lat_inc(ny_in-1) |
121 |
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y_in(ny_in+1) = min( y_in(ny_in) + lat_inc(ny_in-1), 90 ) |
122 |
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y_in(ny_in+2) = min( y_in(ny_in) + 2.*lat_inc(ny_in-1), 90) |
123 |
dimitri |
1.1 |
|
124 |
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C enlarge boundary |
125 |
dimitri |
1.4 |
do j=1,ny_in |
126 |
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arrayin(0,j) = arrayin(nx_in,j) |
127 |
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arrayin(-1,j) = arrayin(nx_in-1,j) |
128 |
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arrayin(nx_in+1,j) = arrayin(1,j) |
129 |
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arrayin(nx_in+2,j) = arrayin(2,j) |
130 |
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enddo |
131 |
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do i=-1,nx_in+2 |
132 |
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arrayin(i,0) = arrayin(i,1) |
133 |
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arrayin(i,-1) = arrayin(i,1) |
134 |
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arrayin(i,ny_in+1) = arrayin(i,ny_in) |
135 |
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arrayin(i,ny_in+2) = arrayin(i,ny_in) |
136 |
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enddo |
137 |
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138 |
dimitri |
1.15 |
C For tracer (method=1,2) set to northernmost zonal-mean value |
139 |
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C at 90N to avoid sharp zonal gradients near the Pole. |
140 |
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C For U (method=11,12) set to zero at 90N to minimize velocity |
141 |
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C gradient at North Pole |
142 |
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C For V (method=11,12) set to northernmost zonal value at 90N, |
143 |
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C as is already done above in order to allow cross-PoleArctic flow |
144 |
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if (y_in(ny_in+1).eq.90) then |
145 |
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if (method.eq.1 .or. method.eq.2) then |
146 |
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NorthValue = 0 |
147 |
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do i=1,nx_in |
148 |
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NorthValue = NorthValue + arrayin(i,ny_in) |
149 |
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enddo |
150 |
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NorthValue = NorthValue / nx_in |
151 |
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do i=-1,nx_in+2 |
152 |
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arrayin(i,ny_in+1) = NorthValue |
153 |
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enddo |
154 |
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elseif (method.eq.11 .or. method.eq.12) then |
155 |
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do i=-1,nx_in+2 |
156 |
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arrayin(i,ny_in+1) = 0 |
157 |
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enddo |
158 |
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endif |
159 |
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endif |
160 |
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if (y_in(ny_in+2).eq.90) then |
161 |
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if (method.eq.1 .or. method.eq.2) then |
162 |
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NorthValue = 0 |
163 |
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do i=1,nx_in |
164 |
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NorthValue = NorthValue + arrayin(i,ny_in) |
165 |
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enddo |
166 |
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NorthValue = NorthValue / nx_in |
167 |
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do i=-1,nx_in+2 |
168 |
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arrayin(i,ny_in+2) = NorthValue |
169 |
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enddo |
170 |
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elseif (method.eq.11 .or. method.eq.12) then |
171 |
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do i=-1,nx_in+2 |
172 |
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arrayin(i,ny_in+2) = 0 |
173 |
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enddo |
174 |
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endif |
175 |
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endif |
176 |
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177 |
cnh |
1.11 |
C _END_MASTER( myThid ) |
178 |
dimitri |
1.15 |
|
179 |
dimitri |
1.2 |
do bj = mybylo(mythid), mybyhi(mythid) |
180 |
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do bi = mybxlo(mythid), mybxhi(mythid) |
181 |
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182 |
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C check validity of input/output coordinates |
183 |
dimitri |
1.6 |
#ifdef ALLOW_DEBUG |
184 |
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if ( debugLevel .ge. debLevB ) then |
185 |
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do i=1,snx |
186 |
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do j=1,sny |
187 |
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if ( xG(i,j,bi,bj) .lt. x_in(0) .or. |
188 |
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& xG(i,j,bi,bj) .ge. x_in(nx_in+1) .or. |
189 |
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& yG(i,j,bi,bj) .lt. y_in(0) .or. |
190 |
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& yG(i,j,bi,bj) .ge. y_in(ny_in+1) ) then |
191 |
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print*,'ERROR in S/R EXF_INTERP:' |
192 |
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print*,' input grid must encompass output grid.' |
193 |
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print*,'i,j,bi,bj' ,i,j,bi,bj |
194 |
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print*,'xG,yG' ,xG(i,j,bi,bj),yG(i,j,bi,bj) |
195 |
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print*,'nx_in,ny_in' ,nx_in ,ny_in |
196 |
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print*,'x_in(0,nx_in+1)',x_in(0) ,x_in(nx_in+1) |
197 |
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print*,'y_in(0,ny_in+1)',y_in(0) ,y_in(ny_in+1) |
198 |
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STOP ' ABNORMAL END: S/R EXF_INTERP' |
199 |
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endif |
200 |
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enddo |
201 |
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enddo |
202 |
dimitri |
1.2 |
endif |
203 |
dimitri |
1.6 |
#endif /* ALLOW_DEBUG */ |
204 |
dimitri |
1.1 |
|
205 |
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C compute interpolation indices |
206 |
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do i=1,snx |
207 |
dimitri |
1.5 |
do j=1,sny |
208 |
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if (xG(i,j,bi,bj)-x_in(1) .ge. 0.) then |
209 |
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w_ind(i,j) = int((xG(i,j,bi,bj)-x_in(1))/lon_inc) + 1 |
210 |
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else |
211 |
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w_ind(i,j) = int((xG(i,j,bi,bj)-x_in(1))/lon_inc) |
212 |
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endif |
213 |
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e_ind(i,j) = w_ind(i,j) + 1 |
214 |
dimitri |
1.6 |
js = ny_in*.5 |
215 |
dimitri |
1.5 |
do while (yG(i,j,bi,bj) .lt. y_in(js)) |
216 |
dimitri |
1.6 |
js = (js - 1)*.5 |
217 |
dimitri |
1.5 |
enddo |
218 |
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do while (yG(i,j,bi,bj) .ge. y_in(js+1)) |
219 |
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js = js + 1 |
220 |
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enddo |
221 |
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s_ind(i,j) = js |
222 |
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n_ind(i,j) = js + 1 |
223 |
dimitri |
1.2 |
enddo |
224 |
dimitri |
1.1 |
enddo |
225 |
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|
226 |
dimitri |
1.15 |
if (method.eq.1 .or. method.eq.11 .or. method.eq.21) then |
227 |
dimitri |
1.1 |
|
228 |
dimitri |
1.2 |
C bilinear interpolation |
229 |
|
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sp = 2 |
230 |
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do j=1,sny |
231 |
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do i=1,snx |
232 |
dimitri |
1.1 |
arrayout(i,j,bi,bj) = 0. |
233 |
dimitri |
1.2 |
do l=0,1 |
234 |
dimitri |
1.5 |
px_ind(l+1) = x_in(w_ind(i,j)+l) |
235 |
|
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py_ind(l+1) = y_in(s_ind(i,j)+l) |
236 |
dimitri |
1.1 |
enddo |
237 |
dimitri |
1.2 |
do k=1,2 |
238 |
dimitri |
1.5 |
ew_val(k) = arrayin(w_ind(i,j),s_ind(i,j)+k-1) |
239 |
|
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& *lagran(1,xG(i,j,bi,bj),px_ind,sp) |
240 |
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& +arrayin(e_ind(i,j),s_ind(i,j)+k-1) |
241 |
|
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& *lagran(2,xG(i,j,bi,bj),px_ind,sp) |
242 |
dimitri |
1.2 |
arrayout(i,j,bi,bj)=arrayout(i,j,bi,bj) |
243 |
dimitri |
1.5 |
& +ew_val(k)*lagran(k,yG(i,j,bi,bj),py_ind,sp) |
244 |
dimitri |
1.1 |
enddo |
245 |
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enddo |
246 |
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enddo |
247 |
dimitri |
1.15 |
elseif (method .eq. 2 .or. method.eq.12 .or. method.eq.22) then |
248 |
dimitri |
1.1 |
|
249 |
dimitri |
1.2 |
C bicubic interpolation |
250 |
|
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sp = 4 |
251 |
|
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do j=1,sny |
252 |
|
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do i=1,snx |
253 |
dimitri |
1.1 |
arrayout(i,j,bi,bj) = 0. |
254 |
dimitri |
1.2 |
do l=-1,2 |
255 |
dimitri |
1.5 |
px_ind(l+2) = x_in(w_ind(i,j)+l) |
256 |
|
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py_ind(l+2) = y_in(s_ind(i,j)+l) |
257 |
dimitri |
1.1 |
enddo |
258 |
dimitri |
1.2 |
do k=1,4 |
259 |
|
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ew_val(k) = |
260 |
dimitri |
1.5 |
& arrayin(w_ind(i,j)-1,s_ind(i,j)+k-2) |
261 |
|
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& *lagran(1,xG(i,j,bi,bj),px_ind,sp) |
262 |
|
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& +arrayin(w_ind(i,j) ,s_ind(i,j)+k-2) |
263 |
|
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& *lagran(2,xG(i,j,bi,bj),px_ind,sp) |
264 |
|
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& +arrayin(e_ind(i,j) ,s_ind(i,j)+k-2) |
265 |
|
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& *lagran(3,xG(i,j,bi,bj),px_ind,sp) |
266 |
|
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& +arrayin(e_ind(i,j)+1,s_ind(i,j)+k-2) |
267 |
|
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& *lagran(4,xG(i,j,bi,bj),px_ind,sp) |
268 |
dimitri |
1.2 |
arrayout(i,j,bi,bj)=arrayout(i,j,bi,bj) |
269 |
dimitri |
1.5 |
& +ew_val(k)*lagran(k,yG(i,j,bi,bj),py_ind,sp) |
270 |
dimitri |
1.1 |
enddo |
271 |
dimitri |
1.2 |
enddo |
272 |
dimitri |
1.1 |
enddo |
273 |
dimitri |
1.2 |
else |
274 |
|
|
stop 'stop in exf_interp.F: interpolation method not supported' |
275 |
|
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endif |
276 |
|
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enddo |
277 |
|
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enddo |
278 |
dimitri |
1.1 |
|
279 |
|
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END |