| 1 |
subroutine applyH(mem,xy,iobsloc,currobs) |
| 2 |
implicit none |
| 3 |
#include "osse_parms.h" |
| 4 |
! Arguments |
| 5 |
integer, intent(in) :: iobsloc(mobs,5) |
| 6 |
integer, intent(in) :: currobs |
| 7 |
real*8, intent(in) :: mem(n) |
| 8 |
real*8, intent(out) :: xy(mobs) |
| 9 |
|
| 10 |
integer modelloc(mobs,5) |
| 11 |
real*8 ampin(currobs/2) |
| 12 |
real*8 ampout(currobs/2) |
| 13 |
real*8 amperr(currobs/2) |
| 14 |
real*8 correction |
| 15 |
integer i,indx |
| 16 |
integer method |
| 17 |
real theta |
| 18 |
|
| 19 |
method=2 |
| 20 |
c do i=1,n |
| 21 |
c write(*,*) mem(i) |
| 22 |
c enddo |
| 23 |
|
| 24 |
c write(*,*) 'in applyH' |
| 25 |
call getmodelloc(modelloc,iobsloc,currobs) |
| 26 |
c write(*,*) 'past getmodelloc' |
| 27 |
|
| 28 |
if (method==1) then |
| 29 |
|
| 30 |
do i=1,currobs |
| 31 |
indx=modelloc(i,1) |
| 32 |
xy(i)=mem(indx) |
| 33 |
c write(*,*) xy(i), modelloc(i,5),modelloc(i,4),modelloc(i,3), |
| 34 |
c & i |
| 35 |
enddo |
| 36 |
|
| 37 |
else if (method==2) then |
| 38 |
do i=1,currobs |
| 39 |
c write(*,*) mem(i) |
| 40 |
indx=modelloc(i,1) |
| 41 |
c theta=-atan2(real(iobsloc(i,5))-,real(iobsloc(i,5))); |
| 42 |
c theta=-atan2(real(iobsloc(i,5))-,real(iobsloc(i,5))); |
| 43 |
theta=-atan2(real(iobsloc(i,5))-xorigin, |
| 44 |
& real(iobsloc(i,4))-yorigin) |
| 45 |
c theta=theta+pi |
| 46 |
c if (modelloc(i,5)>nx .or. modelloc(i,4)>ny .or. |
| 47 |
c & modelloc(i,4)<9) then |
| 48 |
c write(*,*) i, modelloc(i,5),modelloc(i,4) |
| 49 |
c xy(i)=0.0 |
| 50 |
c elseif (iobsloc(i,2)==0) then ! azim |
| 51 |
c following imaged with imagesc(rot90(vect(:,:,5,2)));axis xy |
| 52 |
if (iobsloc(i,2)==0) then ! U |
| 53 |
c xy(i)=0 |
| 54 |
c xy(i)=cos(theta) ! azim component (data flipped) |
| 55 |
c xy(i)=-sin(theta) ! radial component (data flipped) |
| 56 |
c xy(i)=cos(theta)*mem(indx) |
| 57 |
c & -sin(theta)*mem(indx+nndata) |
| 58 |
c xy(i)=sin(theta) ! azim component (data unflipped) |
| 59 |
c xy(i)=cos(theta) ! radial component (data unflipped) |
| 60 |
c xy(i)=sin(theta)+cos(theta) ! (data unflipped) |
| 61 |
c xy(i)=sin(theta)*mem(indx) |
| 62 |
c & +cos(theta)*mem(indx+nn) ! (data unflipped) |
| 63 |
c xy(i)=sin(theta)*mem(indx) |
| 64 |
c & +cos(theta)*mem(modelloc(i+currobs/2,1)) ! (data unflipped) |
| 65 |
xy(i)=-cos(theta)*mem(indx) |
| 66 |
& -sin(theta)*mem(modelloc(i+currobs/2,1)) ! (hard way) |
| 67 |
elseif (iobsloc(i,2)==1) then ! radial |
| 68 |
c xy(i)=0 |
| 69 |
c xy(i)=-sin(theta) ! azim (data flipped) |
| 70 |
c xy(i)=-cos(theta) ! radial (data flipped) |
| 71 |
c xy(i)=mem(indx-nndata)*-sin(theta) + |
| 72 |
c & mem(indx)*-cos(theta) |
| 73 |
c xy(i)=cos(theta) ! azim (data unflipped) |
| 74 |
c xy(i)=-sin(theta) ! radial (data unflipped) |
| 75 |
c xy(i)=cos(theta)-sin(theta) ! (data unflipped) |
| 76 |
c xy(i)=cos(theta)*mem(modelloc(i-currobs/2,1)) - |
| 77 |
c & sin(theta)*mem(indx) ! (data unflipped) |
| 78 |
xy(i)=-sin(theta)*mem(modelloc(i-currobs/2,1)) |
| 79 |
& +cos(theta)*mem(indx) ! (hard way) |
| 80 |
else |
| 81 |
xy(i)=mem(indx) |
| 82 |
endif |
| 83 |
|
| 84 |
c write(*,*) xy(i) |
| 85 |
c if (xy(i)>100 .or. xy(i)<-100) then |
| 86 |
c write(*,*) modelloc(i,5), modelloc(i,4), modelloc(i,3), |
| 87 |
c & modelloc(i,2), xy(i), mem(indx+nndata), |
| 88 |
c & mem(indx),-sin(theta),-cos(theta),theta |
| 89 |
c stop |
| 90 |
c write(*,*) i |
| 91 |
c write(*,*) modelloc(i,5), modelloc(i,4), modelloc(i,3), |
| 92 |
c & modelloc(i,2), mem(modelloc(i,1)) |
| 93 |
c & modelloc(i,2), xy(i) |
| 94 |
c endif |
| 95 |
c write(*,*) iobsloc(i,5), iobsloc(i,4), iobsloc(i,3), |
| 96 |
c & iobsloc(i,2), xy(i) |
| 97 |
enddo |
| 98 |
do i=1,currobs/2 |
| 99 |
indx=modelloc(i,1) |
| 100 |
ampin(i)=sqrt(mem(indx)**2 + mem(indx+nn)**2) |
| 101 |
ampout(i)=sqrt(xy(i)**2 + xy(i+(currobs/2))**2) |
| 102 |
if (ampin(i)==0) then |
| 103 |
xy(i)=0 |
| 104 |
xy(i+(currobs/2))=0 |
| 105 |
else |
| 106 |
correction=ampout(i)/ampin(i) |
| 107 |
xy(i)=xy(i)/correction |
| 108 |
xy(i+(currobs/2))=xy(i+(currobs/2))/correction |
| 109 |
endif |
| 110 |
ampin(i)=sqrt(mem(indx)**2 + mem(indx+nn)**2) |
| 111 |
ampout(i)=sqrt(xy(i)**2 + xy(i+(currobs/2))**2) |
| 112 |
c write(*,*) i, ampin(i),ampout(i) |
| 113 |
enddo |
| 114 |
c amperr=ampout-ampin |
| 115 |
c write(*,*) maxval(ampin),maxval(ampout),maxval(amperr) |
| 116 |
|
| 117 |
|
| 118 |
else |
| 119 |
stop 'bad H method' |
| 120 |
endif |
| 121 |
c stop |
| 122 |
end subroutine applyH |
| 123 |
|
| 124 |
|
| 125 |
subroutine unH(mem,xy,iobsloc,currobs) |
| 126 |
implicit none |
| 127 |
#include "osse_parms.h" |
| 128 |
! Arguments |
| 129 |
integer, intent(in) :: iobsloc(mobs,5) |
| 130 |
integer, intent(in) :: currobs |
| 131 |
real*8, intent(in) :: mem(n) |
| 132 |
real*8, intent(out) :: xy(mobs) |
| 133 |
|
| 134 |
integer modelloc(mobs,5) |
| 135 |
real*8 ampin(currobs/2) |
| 136 |
real*8 ampout(currobs/2) |
| 137 |
real*8 amperr(currobs/2) |
| 138 |
real*8 correction |
| 139 |
integer i,indx |
| 140 |
integer method |
| 141 |
real theta |
| 142 |
|
| 143 |
method=2 |
| 144 |
c do i=1,n |
| 145 |
c write(*,*) mem(i) |
| 146 |
c enddo |
| 147 |
|
| 148 |
c write(*,*) 'in applyH' |
| 149 |
call getmodelloc(modelloc,iobsloc,currobs) |
| 150 |
c write(*,*) 'past getmodelloc' |
| 151 |
|
| 152 |
if (method==1) then |
| 153 |
|
| 154 |
do i=1,currobs |
| 155 |
indx=modelloc(i,1) |
| 156 |
xy(i)=mem(indx) |
| 157 |
c write(*,*) xy(i), modelloc(i,5),modelloc(i,4),modelloc(i,3), |
| 158 |
c & i |
| 159 |
enddo |
| 160 |
|
| 161 |
else if (method==2) then |
| 162 |
do i=1,currobs |
| 163 |
c write(*,*) mem(i) |
| 164 |
c indx=modelloc(i,1) |
| 165 |
c theta=-atan2(real(iobsloc(i,5))-,real(iobsloc(i,5))); |
| 166 |
c theta=-atan2(real(iobsloc(i,5))-,real(iobsloc(i,5))); |
| 167 |
theta=-atan2(real(iobsloc(i,5))-xorigin, |
| 168 |
& real(iobsloc(i,4))-yorigin) |
| 169 |
c theta=theta+pi |
| 170 |
c if (modelloc(i,5)>nx .or. modelloc(i,4)>ny .or. |
| 171 |
c & modelloc(i,4)<9) then |
| 172 |
c write(*,*) i, modelloc(i,5),modelloc(i,4) |
| 173 |
c xy(i)=0.0 |
| 174 |
c elseif (iobsloc(i,2)==0) then ! azim |
| 175 |
c following imaged with imagesc(rot90(vect(:,:,5,2)));axis xy |
| 176 |
if (iobsloc(i,2)==0) then ! azimuthal (model U) |
| 177 |
xy(i)=-cos(theta)*mem(i) |
| 178 |
& -sin(theta)*mem(i+currobs/2) ! (hard way) |
| 179 |
elseif (iobsloc(i,2)==1) then ! radial (model V) |
| 180 |
xy(i)=-sin(theta)*mem(i-currobs/2) |
| 181 |
& +cos(theta)*mem(i) ! (hard way) |
| 182 |
else |
| 183 |
xy(i)=mem(i) |
| 184 |
endif |
| 185 |
|
| 186 |
c write(*,*) xy(i) |
| 187 |
c if (xy(i)>100 .or. xy(i)<-100) then |
| 188 |
c write(*,*) modelloc(i,5), modelloc(i,4), modelloc(i,3), |
| 189 |
c & modelloc(i,2), xy(i), mem(indx+nndata), |
| 190 |
c & mem(indx),-sin(theta),-cos(theta),theta |
| 191 |
c stop |
| 192 |
c write(*,*) i |
| 193 |
c write(*,*) modelloc(i,5), modelloc(i,4), modelloc(i,3), |
| 194 |
c & modelloc(i,2), mem(modelloc(i,1)) |
| 195 |
c & modelloc(i,2), xy(i) |
| 196 |
c endif |
| 197 |
c write(*,*) iobsloc(i,5), iobsloc(i,4), iobsloc(i,3), |
| 198 |
c & iobsloc(i,2), xy(i) |
| 199 |
enddo |
| 200 |
if(0) then |
| 201 |
do i=1,currobs/2 |
| 202 |
indx=modelloc(i,1) |
| 203 |
ampin(i)=sqrt(mem(indx)**2 + mem(indx+nn)**2) |
| 204 |
ampout(i)=sqrt(xy(i)**2 + xy(i+(currobs/2))**2) |
| 205 |
if (ampin(i)==0) then |
| 206 |
xy(i)=0 |
| 207 |
xy(i+(currobs/2))=0 |
| 208 |
else |
| 209 |
correction=ampout(i)/ampin(i) |
| 210 |
xy(i)=xy(i)/correction |
| 211 |
xy(i+(currobs/2))=xy(i+(currobs/2))/correction |
| 212 |
endif |
| 213 |
ampin(i)=sqrt(mem(indx)**2 + mem(indx+nn)**2) |
| 214 |
ampout(i)=sqrt(xy(i)**2 + xy(i+(currobs/2))**2) |
| 215 |
c write(*,*) i, ampin(i),ampout(i) |
| 216 |
enddo |
| 217 |
endif |
| 218 |
c amperr=ampout-ampin |
| 219 |
c write(*,*) maxval(ampin),maxval(ampout),maxval(amperr) |
| 220 |
|
| 221 |
|
| 222 |
else |
| 223 |
stop 'bad H method' |
| 224 |
endif |
| 225 |
c stop |
| 226 |
end subroutine unH |
| 227 |
|
| 228 |
|
| 229 |
subroutine cyl2cart(mem,Hmem) |
| 230 |
implicit none |
| 231 |
#include "osse_parms.h" |
| 232 |
! Arguments |
| 233 |
real*8, intent(in) :: mem(n) |
| 234 |
real*8, intent(out) :: Hmem(n) |
| 235 |
|
| 236 |
real*8 correction |
| 237 |
integer i,v,z,y,x |
| 238 |
real theta |
| 239 |
|
| 240 |
do i=1,n |
| 241 |
|
| 242 |
v=(i-1)/nn |
| 243 |
z= 1+mod(i-1,nn)/(nx*ny) |
| 244 |
y= 1+((mod(i-1,nn)-nx*ny*(z-1))/nx) |
| 245 |
x=1+mod(i-1,nn)-(z-1)*ny*nx-(y-1)*nx |
| 246 |
|
| 247 |
theta=2.0*pi*(x-1)/nx |
| 248 |
|
| 249 |
if (v==0) then ! azimuthal (model U) |
| 250 |
Hmem(i)=-cos(theta)*mem(i) |
| 251 |
& -sin(theta)*mem(i+nn) |
| 252 |
elseif (v==1) then ! radial (model V) |
| 253 |
Hmem(i)=-sin(theta)*mem(i-nn) |
| 254 |
& +cos(theta)*mem(i) ! (hard way) |
| 255 |
else |
| 256 |
Hmem(i)=mem(i) |
| 257 |
endif |
| 258 |
|
| 259 |
enddo |
| 260 |
end subroutine cyl2cart |
| 261 |
|
| 262 |
|
| 263 |
|
| 264 |
subroutine cart2cyl(Hmem,mem) |
| 265 |
implicit none |
| 266 |
#include "osse_parms.h" |
| 267 |
! Arguments |
| 268 |
real*8, intent(in) :: Hmem(n) |
| 269 |
real*8, intent(out) :: mem(n) |
| 270 |
|
| 271 |
real*8 correction |
| 272 |
integer i,v,z,y,x |
| 273 |
real theta |
| 274 |
|
| 275 |
do i=1,n |
| 276 |
|
| 277 |
v=(i-1)/nn |
| 278 |
z= 1+mod(i-1,nn)/(nx*ny) |
| 279 |
y= 1+((mod(i-1,nn)-nx*ny*(z-1))/nx) |
| 280 |
x=1+mod(i-1,nn)-(z-1)*ny*nx-(y-1)*nx |
| 281 |
|
| 282 |
theta=2.0*pi*(x-1)/nx |
| 283 |
|
| 284 |
if (v==0) then ! azimuthal (model U) |
| 285 |
mem(i)=-cos(theta)*Hmem(i) |
| 286 |
& -sin(theta)*Hmem(i+nn) |
| 287 |
elseif (v==1) then ! radial (model V) |
| 288 |
mem(i)=-sin(theta)*Hmem(i-nn) |
| 289 |
& +cos(theta)*Hmem(i) ! (hard way) |
| 290 |
else |
| 291 |
mem(i)=Hmem(i) |
| 292 |
endif |
| 293 |
|
| 294 |
enddo |
| 295 |
end subroutine cart2cyl |
| 296 |
|
| 297 |
|
| 298 |
|
| 299 |
subroutine getmodelloc(modelloc,iobsloc,currobs) |
| 300 |
|
| 301 |
implicit none |
| 302 |
#include "osse_parms.h" |
| 303 |
! Arguments |
| 304 |
integer, intent(in) :: iobsloc(mobs,5) |
| 305 |
integer, intent(in) :: currobs |
| 306 |
integer, intent(out) :: modelloc(mobs,5) |
| 307 |
|
| 308 |
integer i,j,loc,k,method |
| 309 |
integer yob(mobs),xob(mobs),zob(mobs),vob(mobs) |
| 310 |
integer Xu(xdata),Xv(xdata),Xt(xdata) |
| 311 |
integer Yu(ydata),Yv(ydata),Yt(ydata) |
| 312 |
real Xufract(xdata),Xvfract(xdata) |
| 313 |
real Yufract(ydata),Yvfract(ydata) |
| 314 |
real theta(xdata,ydata),thetamod(xdata,ydata) |
| 315 |
real rho(xdata,ydata),rhomod(xdata,ydata) |
| 316 |
integer X,Y |
| 317 |
integer, external :: round |
| 318 |
|
| 319 |
c write(*,*) ' in applyH' |
| 320 |
method=2 ! nearest neighbor, same coordinates |
| 321 |
|
| 322 |
c get nearest neighbor locations in model space for all of observation space |
| 323 |
c tuned to value location on grid box -- u, v and t values |
| 324 |
c (this is for a C-grid) |
| 325 |
if (method==1) then |
| 326 |
|
| 327 |
|
| 328 |
c find fractional gridpoint coords in model space of observation locations |
| 329 |
do k=1,xdata |
| 330 |
Xufract(k)=(real(k-1)/real(xdata))*real(nx)+1.0 |
| 331 |
Xvfract(k)=((real(k)-0.5)/real(xdata))*real(nx) |
| 332 |
enddo |
| 333 |
|
| 334 |
do k=1,ydata |
| 335 |
Yufract(k)=((real(k)-0.5)/real(ydata))*real(ny) |
| 336 |
Yvfract(k)=(real((k-1))/real(ydata))*real(ny)+1.0 |
| 337 |
enddo |
| 338 |
|
| 339 |
c now find nearest model grid cell locations of observations |
| 340 |
do k=1,xdata |
| 341 |
Xu(k)=round(Xufract(k)) |
| 342 |
Xv(k)=ceiling(Xvfract(k)) |
| 343 |
enddo |
| 344 |
Xt=Xv |
| 345 |
do k=1,ydata |
| 346 |
Yu(k)=ceiling(Yufract(k)) |
| 347 |
Yv(k)=round(Yvfract(k)) |
| 348 |
c write(*,*) k, Yu(k), Yv(k) |
| 349 |
enddo |
| 350 |
Yt=Yu |
| 351 |
|
| 352 |
c for each obervation, get nearest neighbor value |
| 353 |
do k=1,currobs |
| 354 |
|
| 355 |
modelloc(k,2)=iobsloc(k,2) |
| 356 |
modelloc(k,3)=iobsloc(k,3) |
| 357 |
c vob accessed more than once to make reasoning clear, heh |
| 358 |
if (iobsloc(k,2)==0) then ! u location |
| 359 |
modelloc(k,1)=(iobsloc(k,2))*nn+(iobsloc(k,3)-1)*nx*ny+ |
| 360 |
& (Yu(iobsloc(k,4))-1)*nx+Xu(iobsloc(k,5)) |
| 361 |
modelloc(k,4)=Yu(iobsloc(k,4)) |
| 362 |
modelloc(k,5)=Xu(iobsloc(k,5)) |
| 363 |
elseif (iobsloc(k,2)==1) then ! v location |
| 364 |
modelloc(k,1)=(iobsloc(k,2))*nn+(iobsloc(k,3)-1)*nx*ny+ |
| 365 |
& (Yv(iobsloc(k,4))-1)*nx+Xv(iobsloc(k,5)) |
| 366 |
modelloc(k,4)=Yv(iobsloc(k,4)) |
| 367 |
modelloc(k,5)=Xv(iobsloc(k,5)) |
| 368 |
else ! vob > 1 |
| 369 |
modelloc(k,1)=(iobsloc(k,2))*nn+(iobsloc(k,3)-1)*nx*ny+ |
| 370 |
& (Yt(iobsloc(k,4))-1)*nx+Xt(iobsloc(k,5)) |
| 371 |
modelloc(k,4)=Yt(iobsloc(k,4)) |
| 372 |
modelloc(k,5)=Xt(iobsloc(k,5)) |
| 373 |
endif |
| 374 |
enddo |
| 375 |
|
| 376 |
|
| 377 |
elseif (method==2) then |
| 378 |
|
| 379 |
c the following get only the cell centered values since this is coming from |
| 380 |
c PIV |
| 381 |
do j=1,ydata |
| 382 |
do i=1,xdata |
| 383 |
theta(i,j)= |
| 384 |
& -atan2(real(i)-xorigin-0.5,real(j)-yorigin-0.5) |
| 385 |
c & -atan2(real(i)-xorigin-0.5,real(j)-yorigin-0.5)+pi |
| 386 |
thetamod(i,j)=1.0+((real(theta(i,j))+pi)/(2.0*pi)* |
| 387 |
& real(nx-1)) |
| 388 |
rho(i,j)=sqrt((real(i)-xorigin-0.5)**2 + |
| 389 |
& (real(j)-yorigin-0.5)**2) |
| 390 |
c rhomod(i,j)=1.0+rho(i,j)*(real(ny)-1)/(real(xdata)/2) |
| 391 |
c rhomod(i,j)=rho(i,j)*(44.0/(37/2)) |
| 392 |
c rhomod(i,j)=rho(i,j)*(30.0/(38.0/2.0)) |
| 393 |
rhomod(i,j)=rho(i,j)*radrat |
| 394 |
enddo |
| 395 |
enddo |
| 396 |
|
| 397 |
|
| 398 |
c for each obervation, get nearest neighbor value |
| 399 |
do k=1,currobs |
| 400 |
|
| 401 |
modelloc(k,2)=iobsloc(k,2) |
| 402 |
modelloc(k,3)=iobsloc(k,3) |
| 403 |
c vob accessed more than once to make reasoning clear, heh |
| 404 |
if (iobsloc(k,2)==0) then ! u location |
| 405 |
X=round(thetamod(iobsloc(k,5),iobsloc(k,4))) |
| 406 |
Y=ceiling(rhomod(iobsloc(k,5),iobsloc(k,4))) |
| 407 |
modelloc(k,1)=(iobsloc(k,2))*nn+(iobsloc(k,3)-1)*nx*ny+ |
| 408 |
& (Y-1)*nx+X |
| 409 |
modelloc(k,4)=Y |
| 410 |
modelloc(k,5)=X |
| 411 |
elseif (iobsloc(k,2)==1) then ! v location |
| 412 |
X=ceiling(thetamod(iobsloc(k,5),iobsloc(k,4))) |
| 413 |
Y=round(rhomod(iobsloc(k,5),iobsloc(k,4))) |
| 414 |
modelloc(k,1)=(iobsloc(k,2))*nn+(iobsloc(k,3)-1)*nx*ny+ |
| 415 |
& (Y-1)*nx+X |
| 416 |
modelloc(k,4)=Y |
| 417 |
modelloc(k,5)=X |
| 418 |
else ! vob > 1 |
| 419 |
X=ceiling(thetamod(iobsloc(k,5),iobsloc(k,4))) |
| 420 |
Y=ceiling(rhomod(iobsloc(k,5),iobsloc(k,4))) |
| 421 |
modelloc(k,1)=(iobsloc(k,2))*nn+(iobsloc(k,3)-1)*nx*ny+ |
| 422 |
& (Y-1)*nx+X |
| 423 |
modelloc(k,4)=Y |
| 424 |
modelloc(k,5)=X |
| 425 |
endif |
| 426 |
|
| 427 |
c write(*,*) modelloc(k,5), modelloc(k,4), modelloc(k,3), |
| 428 |
c & modelloc(k,1) |
| 429 |
|
| 430 |
enddo |
| 431 |
c stop |
| 432 |
else |
| 433 |
stop 'no valid applyH method specified' |
| 434 |
endif |
| 435 |
|
| 436 |
|
| 437 |
end subroutine getmodelloc |
| 438 |
|
| 439 |
function round(somereal) |
| 440 |
implicit none |
| 441 |
integer :: round |
| 442 |
real, intent(in) :: somereal |
| 443 |
|
| 444 |
if (modulo(somereal,1.0) .lt. 0.5) then |
| 445 |
round=floor(somereal) |
| 446 |
else |
| 447 |
round=ceiling(somereal) |
| 448 |
endif |
| 449 |
end function round |
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