| 54 |
c o Compare the gradients calculated by the adjoint model with |
c o Compare the gradients calculated by the adjoint model with |
| 55 |
c finite difference approximations. |
c finite difference approximations. |
| 56 |
c started: Christian Eckert eckert@mit.edu 24-Feb-2000 |
c started: Christian Eckert eckert@mit.edu 24-Feb-2000 |
| 57 |
c continued: heimbach@mit.edu: 13-Jun-2001 |
c continued&finished: heimbach@mit.edu: 13-Jun-2001 |
| 58 |
|
c changed: mlosch@ocean.mit.edu: 09-May-2002 |
| 59 |
|
c - added centered difference vs. 1-sided difference option |
| 60 |
|
c - improved output format for readability |
| 61 |
|
c - added control variable hFacC |
| 62 |
|
c heimbach@mit.edu 24-Feb-2003 |
| 63 |
|
c - added tangent linear gradient checks |
| 64 |
|
c - fixes for multiproc. gradient checks |
| 65 |
|
c - added more control variables |
| 66 |
|
c |
| 67 |
c ================================================================== |
c ================================================================== |
| 68 |
c SUBROUTINE grdchk_main |
c SUBROUTINE grdchk_main |
| 69 |
c ================================================================== |
c ================================================================== |
| 94 |
integer j, jmin, jmax |
integer j, jmin, jmax |
| 95 |
integer k |
integer k |
| 96 |
|
|
|
integer jprocs |
|
|
integer proc_grdchk |
|
| 97 |
integer icomp |
integer icomp |
| 98 |
integer ichknum |
integer ichknum |
| 99 |
integer icvrec |
integer icvrec |
| 100 |
integer jtile |
integer jtile |
| 101 |
integer itile |
integer itile |
| 102 |
integer layer |
integer layer |
| 103 |
|
integer obcspos |
| 104 |
integer itilepos |
integer itilepos |
| 105 |
integer jtilepos |
integer jtilepos |
| 106 |
integer itest |
integer itest |
| 108 |
integer ierr_grdchk |
integer ierr_grdchk |
| 109 |
_RL gfd |
_RL gfd |
| 110 |
_RL fcref |
_RL fcref |
| 111 |
_RL fcpert |
_RL fcpertplus, fcpertminus |
| 112 |
_RL ratio |
_RL ratio_ad |
| 113 |
|
_RL ratio_ftl |
| 114 |
_RL xxmemo_ref |
_RL xxmemo_ref |
| 115 |
_RL xxmemo_pert |
_RL xxmemo_pert |
| 116 |
_RL adxxmemo |
_RL adxxmemo |
| 117 |
|
_RL ftlxxmemo |
| 118 |
|
_RL localEps |
| 119 |
|
_RL grdchk_epsfac |
| 120 |
|
|
|
cph( |
|
| 121 |
_RL tmpplot1(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
_RL tmpplot1(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
| 122 |
_RL tmpplot2(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
_RL tmpplot2(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
| 123 |
cph) |
_RL tmpplot3(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
| 124 |
|
|
| 125 |
|
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 126 |
|
_RL g_fc |
| 127 |
|
common /g_cost_r/ g_fc |
| 128 |
|
#endif |
| 129 |
|
|
| 130 |
c == end of interface == |
c == end of interface == |
| 131 |
CEOP |
CEOP |
| 152 |
fcref = fc |
fcref = fc |
| 153 |
ierr_grdchk = 0 |
ierr_grdchk = 0 |
| 154 |
|
|
|
cph( |
|
| 155 |
do bj = jtlo, jthi |
do bj = jtlo, jthi |
| 156 |
do bi = itlo, ithi |
do bi = itlo, ithi |
| 157 |
do k = 1, nr |
do k = 1, nr |
| 159 |
do i = imin, imax |
do i = imin, imax |
| 160 |
tmpplot1(i,j,k,bi,bj) = 0. _d 0 |
tmpplot1(i,j,k,bi,bj) = 0. _d 0 |
| 161 |
tmpplot2(i,j,k,bi,bj) = 0. _d 0 |
tmpplot2(i,j,k,bi,bj) = 0. _d 0 |
| 162 |
|
tmpplot3(i,j,k,bi,bj) = 0. _d 0 |
| 163 |
end do |
end do |
| 164 |
end do |
end do |
| 165 |
end do |
end do |
| 166 |
end do |
end do |
| 167 |
end do |
end do |
| 168 |
cph) |
|
| 169 |
|
if ( useCentralDiff ) then |
| 170 |
|
grdchk_epsfac = 2. _d 0 |
| 171 |
|
else |
| 172 |
|
grdchk_epsfac = 1. _d 0 |
| 173 |
|
end if |
| 174 |
|
|
| 175 |
|
print *, 'ph-grd 3 -------------------------------' |
| 176 |
|
print ('(2a)'), |
| 177 |
|
& ' ph-grd 3 proc # i j k fc ref', |
| 178 |
|
& ' fc + eps fc - eps' |
| 179 |
|
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 180 |
|
print ('(2a)'), |
| 181 |
|
& ' ph-grd 3 proc # i j k tlm grad', |
| 182 |
|
& ' fd grad 1 - fd/tlm' |
| 183 |
|
#else |
| 184 |
|
print ('(2a)'), |
| 185 |
|
& ' ph-grd 3 proc # i j k adj grad', |
| 186 |
|
& ' fd grad 1 - fd/adj' |
| 187 |
|
#endif |
| 188 |
|
|
| 189 |
c-- Compute the finite difference approximations. |
c-- Compute the finite difference approximations. |
| 190 |
c-- Cycle through all processes doing NINT(nend-nbeg+1)/nstep |
c-- Cycle through all processes doing NINT(nend-nbeg+1)/nstep |
| 191 |
c-- gradient checks. |
c-- gradient checks. |
|
do jprocs = 1,numberOfProcs |
|
|
proc_grdchk = jprocs - 1 |
|
|
|
|
|
if ( myProcId .eq. proc_grdchk ) then |
|
| 192 |
|
|
| 193 |
do icomp = nbeg, nend, nstep |
do icomp = nbeg, nend, nstep |
| 194 |
|
|
| 195 |
ichknum = (icomp - nbeg)/nstep + 1 |
ichknum = (icomp - nbeg)/nstep + 1 |
| 196 |
|
|
| 197 |
if (ichknum .le. maxgrdchecks ) then |
if (ichknum .le. maxgrdchecks ) then |
| 198 |
|
|
| 199 |
c-- Determine the location of icomp on the grid. |
c-- Determine the location of icomp on the grid. |
| 200 |
call grdchk_loc( icomp, ichknum, |
if ( myProcId .EQ. grdchkwhichproc ) then |
| 201 |
& icvrec, itile, jtile, layer, |
call grdchk_loc( icomp, ichknum, |
| 202 |
& itilepos, jtilepos, itest, ierr, |
& icvrec, itile, jtile, layer, obcspos, |
| 203 |
& mythid ) |
& itilepos, jtilepos, itest, ierr, |
| 204 |
|
& mythid ) |
| 205 |
|
endif |
| 206 |
|
_BARRIER |
| 207 |
|
|
| 208 |
if ( ierr .eq. 0 ) then |
c****************************************************** |
| 209 |
|
c-- (A): get gradient component calculated via adjoint |
| 210 |
|
c****************************************************** |
| 211 |
|
|
| 212 |
|
c-- get gradient component calculated via adjoint |
| 213 |
|
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 214 |
|
& ierr .EQ. 0 ) then |
| 215 |
|
call grdchk_getadxx( icvrec, |
| 216 |
|
& itile, jtile, layer, |
| 217 |
|
& itilepos, jtilepos, |
| 218 |
|
& adxxmemo, mythid ) |
| 219 |
|
endif |
| 220 |
|
_BARRIER |
| 221 |
|
|
| 222 |
|
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 223 |
|
c****************************************************** |
| 224 |
|
c-- (B): Get gradient component g_fc from tangent linear run: |
| 225 |
|
c****************************************************** |
| 226 |
|
c-- |
| 227 |
|
c-- 1. perturb control vector component: xx(i)=1. |
| 228 |
|
|
| 229 |
|
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 230 |
|
& ierr .EQ. 0 ) then |
| 231 |
|
localEps = 1. _d 0 |
| 232 |
|
call grdchk_getxx( icvrec, TANGENT_SIMULATION, |
| 233 |
|
& itile, jtile, layer, |
| 234 |
|
& itilepos, jtilepos, |
| 235 |
|
& xxmemo_ref, xxmemo_pert, localEps, |
| 236 |
|
& mythid ) |
| 237 |
|
endif |
| 238 |
|
_BARRIER |
| 239 |
|
|
| 240 |
|
c-- |
| 241 |
|
c-- 2. perform tangent linear run |
| 242 |
|
mytime = starttime |
| 243 |
|
myiter = niter0 |
| 244 |
|
g_fc = 0. |
| 245 |
|
call g_the_main_loop( mytime, myiter, mythid ) |
| 246 |
|
ftlxxmemo = g_fc |
| 247 |
|
_BARRIER |
| 248 |
|
c-- |
| 249 |
|
c-- 3. reset control vector |
| 250 |
|
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 251 |
|
& ierr .EQ. 0 ) then |
| 252 |
|
call grdchk_setxx( icvrec, TANGENT_SIMULATION, |
| 253 |
|
& itile, jtile, layer, |
| 254 |
|
& itilepos, jtilepos, |
| 255 |
|
& xxmemo_ref, mythid ) |
| 256 |
|
endif |
| 257 |
|
_BARRIER |
| 258 |
|
|
| 259 |
|
#endif /* ALLOW_TANGENTLINEAR_RUN */ |
| 260 |
|
|
| 261 |
|
|
| 262 |
|
c****************************************************** |
| 263 |
|
c-- (C): Get gradient via finite difference perturbation |
| 264 |
|
c****************************************************** |
| 265 |
|
|
| 266 |
c-- get control vector component from file |
c-- get control vector component from file |
| 267 |
c-- perturb it and write back to file |
c-- perturb it and write back to file |
| 268 |
call grdchk_getxx( icvrec, |
c-- positive perturbation |
| 269 |
& itile, jtile, layer, |
localEps = abs(grdchk_eps) |
| 270 |
& itilepos, jtilepos, |
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 271 |
& xxmemo_ref, xxmemo_pert, mythid ) |
& ierr .EQ. 0 ) then |
| 272 |
_BARRIER |
call grdchk_getxx( icvrec, FORWARD_SIMULATION, |
| 273 |
|
& itile, jtile, layer, |
| 274 |
|
& itilepos, jtilepos, |
| 275 |
|
& xxmemo_ref, xxmemo_pert, localEps, |
| 276 |
|
& mythid ) |
| 277 |
|
endif |
| 278 |
|
_BARRIER |
| 279 |
|
|
|
c-- get gradient component calculated via adjoint |
|
|
call grdchk_getadxx( icvrec, |
|
|
& itile, jtile, layer, |
|
|
& itilepos, jtilepos, |
|
|
& adxxmemo, mythid ) |
|
|
_BARRIER |
|
|
|
|
| 280 |
c-- forward run with perturbed control vector |
c-- forward run with perturbed control vector |
| 281 |
mytime = starttime |
mytime = starttime |
| 282 |
myiter = niter0 |
myiter = niter0 |
| 283 |
call the_main_loop( mytime, myiter, mythid ) |
call the_main_loop( mytime, myiter, mythid ) |
| 284 |
fcpert = fc |
fcpertplus = fc |
| 285 |
|
_BARRIER |
| 286 |
|
|
| 287 |
if ( grdchk_eps .eq. 0. ) then |
c-- Reset control vector. |
| 288 |
gfd = (fcpert-fcref) |
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 289 |
else |
& ierr .EQ. 0 ) then |
| 290 |
gfd = (fcpert-fcref)/grdchk_eps |
call grdchk_setxx( icvrec, FORWARD_SIMULATION, |
| 291 |
endif |
& itile, jtile, layer, |
| 292 |
|
& itilepos, jtilepos, |
| 293 |
|
& xxmemo_ref, mythid ) |
| 294 |
|
endif |
| 295 |
|
_BARRIER |
| 296 |
|
|
| 297 |
|
fcpertminus = fcref |
| 298 |
|
|
| 299 |
|
if ( useCentralDiff ) then |
| 300 |
|
|
| 301 |
|
c-- get control vector component from file |
| 302 |
|
c-- perturb it and write back to file |
| 303 |
|
c-- repeat the proceedure for a negative perturbation |
| 304 |
|
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 305 |
|
& ierr .EQ. 0 ) then |
| 306 |
|
localEps = - abs(grdchk_eps) |
| 307 |
|
call grdchk_getxx( icvrec, FORWARD_SIMULATION, |
| 308 |
|
& itile, jtile, layer, |
| 309 |
|
& itilepos, jtilepos, |
| 310 |
|
& xxmemo_ref, xxmemo_pert, localEps, |
| 311 |
|
& mythid ) |
| 312 |
|
endif |
| 313 |
|
_BARRIER |
| 314 |
|
|
| 315 |
if ( gfd .eq. 0. ) then |
c-- forward run with perturbed control vector |
| 316 |
ratio = abs( adxxmemo - gfd ) |
mytime = starttime |
| 317 |
else |
myiter = niter0 |
| 318 |
ratio = 1. - adxxmemo/gfd |
call the_main_loop( mytime, myiter, mythid ) |
| 319 |
endif |
_BARRIER |
| 320 |
|
fcpertminus = fc |
| 321 |
|
|
| 322 |
c-- Reset control vector. |
c-- Reset control vector. |
| 323 |
call grdchk_setxx( icvrec, |
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 324 |
& itile, jtile, layer, |
& ierr .EQ. 0 ) then |
| 325 |
& itilepos, jtilepos, |
call grdchk_setxx( icvrec, FORWARD_SIMULATION, |
| 326 |
& xxmemo_ref, mythid ) |
& itile, jtile, layer, |
| 327 |
_BARRIER |
& itilepos, jtilepos, |
| 328 |
|
& xxmemo_ref, mythid ) |
| 329 |
cph( |
endif |
| 330 |
tmpplot1(itilepos,jtilepos,layer,itile,jtile) = |
_BARRIER |
| 331 |
& gfd |
|
| 332 |
tmpplot2(itilepos,jtilepos,layer,itile,jtile) = |
c-- end of if useCentralDiff ... |
| 333 |
& ratio |
end if |
| 334 |
cph) |
|
| 335 |
|
c****************************************************** |
| 336 |
|
c-- (D): calculate relative differences between gradients |
| 337 |
|
c****************************************************** |
| 338 |
|
|
| 339 |
|
if ( myProcId .EQ. grdchkwhichproc .AND. |
| 340 |
|
& ierr .EQ. 0 ) then |
| 341 |
|
|
| 342 |
|
if ( grdchk_eps .eq. 0. ) then |
| 343 |
|
gfd = (fcpertplus-fcpertminus) |
| 344 |
|
else |
| 345 |
|
gfd = (fcpertplus-fcpertminus) |
| 346 |
|
& /(grdchk_epsfac*grdchk_eps) |
| 347 |
|
endif |
| 348 |
|
|
| 349 |
fcpmem ( ichknum ) = fcpert |
if ( adxxmemo .eq. 0. ) then |
| 350 |
xxmemref ( ichknum ) = xxmemo_ref |
ratio_ad = abs( adxxmemo - gfd ) |
|
xxmempert ( ichknum ) = xxmemo_pert |
|
|
gfdmem ( ichknum ) = gfd |
|
|
adxxmem ( ichknum ) = adxxmemo |
|
|
ratiomem ( ichknum ) = ratio |
|
|
|
|
|
irecmem ( ichknum ) = icvrec |
|
|
bimem ( ichknum ) = itile |
|
|
bjmem ( ichknum ) = jtile |
|
|
ilocmem ( ichknum ) = itilepos |
|
|
jlocmem ( ichknum ) = jtilepos |
|
|
klocmem ( ichknum ) = layer |
|
|
icompmem ( ichknum ) = icomp |
|
|
ichkmem ( ichknum ) = ichknum |
|
|
itestmem ( ichknum ) = itest |
|
|
ierrmem ( ichknum ) = ierr |
|
|
|
|
|
cph( |
|
|
print *, 'ph-grd 3 -------------------------------' |
|
|
print *, 'ph-grd 3 ', |
|
|
& ichknum,itilepos,jtilepos,layer, |
|
|
& fcref, fcpert |
|
|
print *, 'ph-grd 3 ', |
|
|
& ichknum,ichkmem(ichknum), |
|
|
& icompmem(ichknum),itestmem(ichknum), |
|
|
& adxxmemo, gfd, ratio |
|
|
cph) |
|
|
else |
|
|
c |
|
|
endif |
|
| 351 |
else |
else |
| 352 |
ierr_grdchk = -1 |
ratio_ad = 1. - gfd/adxxmemo |
| 353 |
endif |
endif |
|
|
|
|
enddo |
|
|
endif |
|
| 354 |
|
|
| 355 |
c-- Everyone has to wait for the component to be reset. |
if ( ftlxxmemo .eq. 0. ) then |
| 356 |
_BARRIER |
ratio_ftl = abs( ftlxxmemo - gfd ) |
| 357 |
|
else |
| 358 |
|
ratio_ftl = 1. - gfd/ftlxxmemo |
| 359 |
|
endif |
| 360 |
|
|
| 361 |
|
tmpplot1(itilepos,jtilepos,layer,itile,jtile) |
| 362 |
|
& = gfd |
| 363 |
|
tmpplot2(itilepos,jtilepos,layer,itile,jtile) |
| 364 |
|
& = ratio_ad |
| 365 |
|
tmpplot3(itilepos,jtilepos,layer,itile,jtile) |
| 366 |
|
& = ratio_ftl |
| 367 |
|
|
| 368 |
|
fcrmem ( ichknum ) = fcref |
| 369 |
|
fcppmem ( ichknum ) = fcpertplus |
| 370 |
|
fcpmmem ( ichknum ) = fcpertminus |
| 371 |
|
xxmemref ( ichknum ) = xxmemo_ref |
| 372 |
|
xxmempert ( ichknum ) = xxmemo_pert |
| 373 |
|
gfdmem ( ichknum ) = gfd |
| 374 |
|
adxxmem ( ichknum ) = adxxmemo |
| 375 |
|
ftlxxmem ( ichknum ) = ftlxxmemo |
| 376 |
|
ratioadmem ( ichknum ) = ratio_ad |
| 377 |
|
ratioftlmem ( ichknum ) = ratio_ftl |
| 378 |
|
|
| 379 |
|
irecmem ( ichknum ) = icvrec |
| 380 |
|
bimem ( ichknum ) = itile |
| 381 |
|
bjmem ( ichknum ) = jtile |
| 382 |
|
ilocmem ( ichknum ) = itilepos |
| 383 |
|
jlocmem ( ichknum ) = jtilepos |
| 384 |
|
klocmem ( ichknum ) = layer |
| 385 |
|
iobcsmem ( ichknum ) = obcspos |
| 386 |
|
icompmem ( ichknum ) = icomp |
| 387 |
|
ichkmem ( ichknum ) = ichknum |
| 388 |
|
itestmem ( ichknum ) = itest |
| 389 |
|
ierrmem ( ichknum ) = ierr |
| 390 |
|
|
| 391 |
|
print *, 'ph-grd 3 -------------------------------' |
| 392 |
|
print '(a,5I5,2x,3(1x,E15.9))', ' ph-grd 3 ', |
| 393 |
|
& myprocid,ichknum,itilepos,jtilepos,layer, |
| 394 |
|
& fcref, fcpertplus, fcpertminus |
| 395 |
|
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 396 |
|
print '(a,5I5,2x,3(1x,E15.9))', ' ph-grd 3 ', |
| 397 |
|
& myprocid,ichknum,ichkmem(ichknum), |
| 398 |
|
& icompmem(ichknum),itestmem(ichknum), |
| 399 |
|
& ftlxxmemo, gfd, ratio_ftl |
| 400 |
|
#else |
| 401 |
|
print '(a,5I5,2x,3(1x,E15.9))', ' ph-grd 3 ', |
| 402 |
|
& myprocid,ichknum,ichkmem(ichknum), |
| 403 |
|
& icompmem(ichknum),itestmem(ichknum), |
| 404 |
|
& adxxmemo, gfd, ratio_ad |
| 405 |
|
#endif |
| 406 |
|
|
| 407 |
|
endif |
| 408 |
|
|
| 409 |
|
print *, 'ph-grd ierr ---------------------------' |
| 410 |
|
print *, 'ph-grd ierr = ', ierr, ', icomp = ', icomp, |
| 411 |
|
& ', ichknum = ', ichknum |
| 412 |
|
|
| 413 |
|
_BARRIER |
| 414 |
|
|
| 415 |
|
c-- else of if ( ichknum ... |
| 416 |
|
else |
| 417 |
|
ierr_grdchk = -1 |
| 418 |
|
|
| 419 |
|
c-- end of if ( ichknum ... |
| 420 |
|
endif |
| 421 |
|
|
| 422 |
|
c-- end of do icomp = ... |
| 423 |
enddo |
enddo |
| 424 |
|
|
| 425 |
cph( |
if ( myProcId .EQ. grdchkwhichproc ) then |
| 426 |
CALL WRITE_REC_XYZ_RL( 'grd_findiff' , tmpplot1, 1, 0, myThid) |
CALL WRITE_REC_XYZ_RL( |
| 427 |
CALL WRITE_REC_XYZ_RL( 'grd_ratio' , tmpplot2, 1, 0, myThid) |
& 'grd_findiff' , tmpplot1, 1, 0, myThid) |
| 428 |
cph) |
CALL WRITE_REC_XYZ_RL( |
| 429 |
|
& 'grd_ratio_ad' , tmpplot2, 1, 0, myThid) |
| 430 |
|
CALL WRITE_REC_XYZ_RL( |
| 431 |
|
& 'grd_ratio_ftl' , tmpplot3, 1, 0, myThid) |
| 432 |
|
endif |
| 433 |
|
|
| 434 |
|
c-- Everyone has to wait for the component to be reset. |
| 435 |
|
_BARRIER |
| 436 |
|
|
| 437 |
c-- Print the results of the gradient check. |
c-- Print the results of the gradient check. |
| 438 |
call grdchk_print( ichknum, ierr_grdchk, mythid ) |
call grdchk_print( ichknum, ierr_grdchk, mythid ) |
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