| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/grdchk/grdchk_main.F,v 1.5 2002/07/13 02:55:58 heimbach Exp $ |
| 2 |
|
| 3 |
#include "CPP_OPTIONS.h" |
| 4 |
|
| 5 |
CBOI |
| 6 |
C |
| 7 |
C !TITLE: GRADIENT CHECK |
| 8 |
C !AUTHORS: mitgcm developers ( support@mitgcm.org ) |
| 9 |
C !AFFILIATION: Massachussetts Institute of Technology |
| 10 |
C !DATE: |
| 11 |
C !INTRODUCTION: gradient check package |
| 12 |
c \bv |
| 13 |
c Compare the gradients calculated by the adjoint model with |
| 14 |
c finite difference approximations. |
| 15 |
c |
| 16 |
C !CALLING SEQUENCE: |
| 17 |
c |
| 18 |
c the_model_main |
| 19 |
c | |
| 20 |
c |-- ctrl_unpack |
| 21 |
c |-- adthe_main_loop - unperturbed cost function and |
| 22 |
c |-- ctrl_pack adjoint gradient are computed here |
| 23 |
c | |
| 24 |
c |-- grdchk_main |
| 25 |
c | |
| 26 |
c |-- grdchk_init |
| 27 |
c |-- do icomp=... - loop over control vector elements |
| 28 |
c | |
| 29 |
c |-- grdchk_loc - determine location of icomp on grid |
| 30 |
c | |
| 31 |
c |-- grdchk_getxx - get control vector component from file |
| 32 |
c | perturb it and write back to file |
| 33 |
c |-- grdchk_getadxx - get gradient component calculated |
| 34 |
c | via adjoint |
| 35 |
c |-- the_main_loop - forward run and cost evaluation |
| 36 |
c | with perturbed control vector element |
| 37 |
c |-- calculate ratio of adj. vs. finite difference gradient |
| 38 |
c | |
| 39 |
c |-- grdchk_setxx - Reset control vector element |
| 40 |
c | |
| 41 |
c |-- grdchk_print - print results |
| 42 |
c \ev |
| 43 |
CEOI |
| 44 |
|
| 45 |
CBOP |
| 46 |
C !ROUTINE: grdchk_main |
| 47 |
C !INTERFACE: |
| 48 |
subroutine grdchk_main( mythid ) |
| 49 |
|
| 50 |
C !DESCRIPTION: \bv |
| 51 |
c ================================================================== |
| 52 |
c SUBROUTINE grdchk_main |
| 53 |
c ================================================================== |
| 54 |
c o Compare the gradients calculated by the adjoint model with |
| 55 |
c finite difference approximations. |
| 56 |
c started: Christian Eckert eckert@mit.edu 24-Feb-2000 |
| 57 |
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 |
| 63 |
c ================================================================== |
| 64 |
c SUBROUTINE grdchk_main |
| 65 |
c ================================================================== |
| 66 |
C \ev |
| 67 |
|
| 68 |
C !USES: |
| 69 |
implicit none |
| 70 |
|
| 71 |
c == global variables == |
| 72 |
#include "SIZE.h" |
| 73 |
#include "EEPARAMS.h" |
| 74 |
#include "PARAMS.h" |
| 75 |
#include "grdchk.h" |
| 76 |
#include "cost.h" |
| 77 |
|
| 78 |
C !INPUT/OUTPUT PARAMETERS: |
| 79 |
c == routine arguments == |
| 80 |
integer mythid |
| 81 |
|
| 82 |
#ifdef ALLOW_GRADIENT_CHECK |
| 83 |
C !LOCAL VARIABLES: |
| 84 |
c == local variables == |
| 85 |
integer myiter |
| 86 |
_RL mytime |
| 87 |
integer bi, itlo, ithi |
| 88 |
integer bj, jtlo, jthi |
| 89 |
integer i, imin, imax |
| 90 |
integer j, jmin, jmax |
| 91 |
integer k |
| 92 |
|
| 93 |
integer jprocs |
| 94 |
integer proc_grdchk |
| 95 |
integer icomp |
| 96 |
integer ichknum |
| 97 |
integer icvrec |
| 98 |
integer jtile |
| 99 |
integer itile |
| 100 |
integer layer |
| 101 |
integer itilepos |
| 102 |
integer jtilepos |
| 103 |
integer itest |
| 104 |
integer ierr |
| 105 |
integer ierr_grdchk |
| 106 |
_RL gfd |
| 107 |
_RL fcref |
| 108 |
_RL fcpertplus, fcpertminus |
| 109 |
_RL ratio_ad |
| 110 |
_RL ratio_ftl |
| 111 |
_RL xxmemo_ref |
| 112 |
_RL xxmemo_pert |
| 113 |
_RL adxxmemo |
| 114 |
_RL ftlxxmemo |
| 115 |
_RL localEps |
| 116 |
_RL grdchk_epsfac |
| 117 |
|
| 118 |
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 119 |
_RL g_fc |
| 120 |
common /g_cost_r/ g_fc |
| 121 |
#endif |
| 122 |
|
| 123 |
_RL tmpplot1(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
| 124 |
_RL tmpplot2(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
| 125 |
_RL tmpplot3(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
| 126 |
|
| 127 |
c == end of interface == |
| 128 |
CEOP |
| 129 |
|
| 130 |
c-- Set the loop ranges. |
| 131 |
jtlo = mybylo(mythid) |
| 132 |
jthi = mybyhi(mythid) |
| 133 |
itlo = mybxlo(mythid) |
| 134 |
ithi = mybxhi(mythid) |
| 135 |
jmin = 1 |
| 136 |
jmax = sny |
| 137 |
imin = 1 |
| 138 |
imax = snx |
| 139 |
|
| 140 |
c-- initialise variables |
| 141 |
call grdchk_init( mythid ) |
| 142 |
|
| 143 |
c-- Compute the adjoint models' gradients. |
| 144 |
c-- Compute the unperturbed cost function. |
| 145 |
c-- Gradient via adjoint has already been computed, |
| 146 |
c-- and so has unperturbed cost function, |
| 147 |
c-- assuming all xx_ fields are initialised to zero. |
| 148 |
|
| 149 |
fcref = fc |
| 150 |
ierr_grdchk = 0 |
| 151 |
|
| 152 |
do bj = jtlo, jthi |
| 153 |
do bi = itlo, ithi |
| 154 |
do k = 1, nr |
| 155 |
do j = jmin, jmax |
| 156 |
do i = imin, imax |
| 157 |
tmpplot1(i,j,k,bi,bj) = 0. _d 0 |
| 158 |
tmpplot2(i,j,k,bi,bj) = 0. _d 0 |
| 159 |
tmpplot3(i,j,k,bi,bj) = 0. _d 0 |
| 160 |
end do |
| 161 |
end do |
| 162 |
end do |
| 163 |
end do |
| 164 |
end do |
| 165 |
|
| 166 |
if ( useCentralDiff ) then |
| 167 |
grdchk_epsfac = 2. _d 0 |
| 168 |
else |
| 169 |
grdchk_epsfac = 1. _d 0 |
| 170 |
end if |
| 171 |
|
| 172 |
c-- Compute the finite difference approximations. |
| 173 |
c-- Cycle through all processes doing NINT(nend-nbeg+1)/nstep |
| 174 |
c-- gradient checks. |
| 175 |
do jprocs = 1,numberOfProcs |
| 176 |
proc_grdchk = jprocs - 1 |
| 177 |
|
| 178 |
if ( myProcId .eq. proc_grdchk ) then |
| 179 |
|
| 180 |
do icomp = nbeg, nend, nstep |
| 181 |
|
| 182 |
ichknum = (icomp - nbeg)/nstep + 1 |
| 183 |
|
| 184 |
if (ichknum .le. maxgrdchecks ) then |
| 185 |
|
| 186 |
c-- Determine the location of icomp on the grid. |
| 187 |
call grdchk_loc( icomp, ichknum, |
| 188 |
& icvrec, itile, jtile, layer, |
| 189 |
& itilepos, jtilepos, itest, ierr, |
| 190 |
& mythid ) |
| 191 |
|
| 192 |
if ( ierr .eq. 0 ) then |
| 193 |
|
| 194 |
c****************************************************** |
| 195 |
c-- (A): get gradient component calculated via adjoint |
| 196 |
c****************************************************** |
| 197 |
call grdchk_getadxx( icvrec, |
| 198 |
& itile, jtile, layer, |
| 199 |
& itilepos, jtilepos, |
| 200 |
& adxxmemo, mythid ) |
| 201 |
_BARRIER |
| 202 |
|
| 203 |
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 204 |
c****************************************************** |
| 205 |
c-- (B): Get gradient component g_fc from tangent linear run: |
| 206 |
c****************************************************** |
| 207 |
c-- |
| 208 |
c-- 1. perturb control vector component: xx(i)=1. |
| 209 |
|
| 210 |
localEps = 1. |
| 211 |
call grdchk_getxx( icvrec, TANGENT_SIMULATION, |
| 212 |
& itile, jtile, layer, |
| 213 |
& itilepos, jtilepos, |
| 214 |
& xxmemo_ref, xxmemo_pert, localEps, |
| 215 |
& mythid ) |
| 216 |
_BARRIER |
| 217 |
|
| 218 |
c-- |
| 219 |
c-- 2. perform tangent linear run |
| 220 |
mytime = starttime |
| 221 |
myiter = niter0 |
| 222 |
g_fc = 0. |
| 223 |
call g_the_main_loop( mytime, myiter, mythid ) |
| 224 |
ftlxxmemo = g_fc |
| 225 |
c-- |
| 226 |
c-- 3. reset control vector |
| 227 |
call grdchk_setxx( icvrec, TANGENT_SIMULATION, |
| 228 |
& itile, jtile, layer, |
| 229 |
& itilepos, jtilepos, |
| 230 |
& xxmemo_ref, mythid ) |
| 231 |
_BARRIER |
| 232 |
#endif |
| 233 |
|
| 234 |
c****************************************************** |
| 235 |
c-- (C): Get gradient via finite difference perturbation |
| 236 |
c****************************************************** |
| 237 |
|
| 238 |
c-- get control vector component from file |
| 239 |
c-- perturb it and write back to file: |
| 240 |
c-- positive perturbation |
| 241 |
localEps = abs(grdchk_eps) |
| 242 |
call grdchk_getxx( icvrec, FORWARD_SIMULATION, |
| 243 |
& itile, jtile, layer, |
| 244 |
& itilepos, jtilepos, |
| 245 |
& xxmemo_ref, xxmemo_pert, localEps, |
| 246 |
& mythid ) |
| 247 |
_BARRIER |
| 248 |
|
| 249 |
c-- forward run with perturbed control vector |
| 250 |
mytime = starttime |
| 251 |
myiter = niter0 |
| 252 |
call the_main_loop( mytime, myiter, mythid ) |
| 253 |
fcpertplus = fc |
| 254 |
|
| 255 |
c-- Reset control vector. |
| 256 |
call grdchk_setxx( icvrec, FORWARD_SIMULATION, |
| 257 |
& itile, jtile, layer, |
| 258 |
& itilepos, jtilepos, |
| 259 |
& xxmemo_ref, mythid ) |
| 260 |
_BARRIER |
| 261 |
|
| 262 |
fcpertminus = fcref |
| 263 |
|
| 264 |
if ( useCentralDiff ) then |
| 265 |
|
| 266 |
c-- get control vector component from file |
| 267 |
c-- perturb it and write back to file: |
| 268 |
c-- repeat the proceedure for a negative perturbation |
| 269 |
localEps = - abs(grdchk_eps) |
| 270 |
call grdchk_getxx( icvrec, FORWARD_SIMULATION, |
| 271 |
& itile, jtile, layer, |
| 272 |
& itilepos, jtilepos, |
| 273 |
& xxmemo_ref, xxmemo_pert, localEps, |
| 274 |
& mythid ) |
| 275 |
_BARRIER |
| 276 |
|
| 277 |
c-- forward run with perturbed control vector |
| 278 |
mytime = starttime |
| 279 |
myiter = niter0 |
| 280 |
call the_main_loop( mytime, myiter, mythid ) |
| 281 |
fcpertminus = fc |
| 282 |
|
| 283 |
c-- Reset control vector. |
| 284 |
call grdchk_setxx( icvrec, FORWARD_SIMULATION, |
| 285 |
& itile, jtile, layer, |
| 286 |
& itilepos, jtilepos, |
| 287 |
& xxmemo_ref, mythid ) |
| 288 |
_BARRIER |
| 289 |
|
| 290 |
end if |
| 291 |
c-- |
| 292 |
c****************************************************** |
| 293 |
c-- (D): calculate relative differences between gradients |
| 294 |
c****************************************************** |
| 295 |
|
| 296 |
if ( grdchk_eps .eq. 0. ) then |
| 297 |
gfd = (fcpertplus-fcpertminus) |
| 298 |
else |
| 299 |
gfd = (fcpertplus-fcpertminus) |
| 300 |
& /(grdchk_epsfac*grdchk_eps) |
| 301 |
endif |
| 302 |
|
| 303 |
if ( adxxmemo .eq. 0. ) then |
| 304 |
ratio_ad = abs( adxxmemo - gfd ) |
| 305 |
else |
| 306 |
ratio_ad = 1. - gfd/adxxmemo |
| 307 |
endif |
| 308 |
|
| 309 |
if ( ftlxxmemo .eq. 0. ) then |
| 310 |
ratio_ftl = abs( ftlxxmemo - gfd ) |
| 311 |
else |
| 312 |
ratio_ftl = 1. - gfd/ftlxxmemo |
| 313 |
endif |
| 314 |
|
| 315 |
tmpplot1(itilepos,jtilepos,layer,itile,jtile) = |
| 316 |
& gfd |
| 317 |
tmpplot2(itilepos,jtilepos,layer,itile,jtile) = |
| 318 |
& ratio_ad |
| 319 |
tmpplot3(itilepos,jtilepos,layer,itile,jtile) = |
| 320 |
& ratio_ftl |
| 321 |
|
| 322 |
|
| 323 |
fcrmem ( ichknum ) = fcref |
| 324 |
fcppmem ( ichknum ) = fcpertplus |
| 325 |
fcpmmem ( ichknum ) = fcpertminus |
| 326 |
xxmemref ( ichknum ) = xxmemo_ref |
| 327 |
xxmempert ( ichknum ) = xxmemo_pert |
| 328 |
gfdmem ( ichknum ) = gfd |
| 329 |
adxxmem ( ichknum ) = adxxmemo |
| 330 |
ftlxxmem ( ichknum ) = ftlxxmemo |
| 331 |
ratioadmem ( ichknum ) = ratio_ad |
| 332 |
ratioftlmem ( ichknum ) = ratio_ftl |
| 333 |
|
| 334 |
irecmem ( ichknum ) = icvrec |
| 335 |
bimem ( ichknum ) = itile |
| 336 |
bjmem ( ichknum ) = jtile |
| 337 |
ilocmem ( ichknum ) = itilepos |
| 338 |
jlocmem ( ichknum ) = jtilepos |
| 339 |
klocmem ( ichknum ) = layer |
| 340 |
icompmem ( ichknum ) = icomp |
| 341 |
ichkmem ( ichknum ) = ichknum |
| 342 |
itestmem ( ichknum ) = itest |
| 343 |
ierrmem ( ichknum ) = ierr |
| 344 |
|
| 345 |
cph( |
| 346 |
print *, 'ph-grd 3 -------------------------------' |
| 347 |
print '(a,4I5,3(1x,E15.9))', 'ph-grd 3 ', |
| 348 |
& ichknum,itilepos,jtilepos,layer, |
| 349 |
& fcref, fcpertplus, fcpertminus |
| 350 |
print '(a,4I5,3(1x,E15.9))', 'ph-grd 3 ', |
| 351 |
& ichknum,ichkmem(ichknum), |
| 352 |
& icompmem(ichknum),itestmem(ichknum), |
| 353 |
& adxxmemo, gfd, ratio_ad |
| 354 |
print '(a,4I5,3(1x,E15.9))', 'ph-grd 3 ', |
| 355 |
& ichknum,ichkmem(ichknum), |
| 356 |
& icompmem(ichknum),itestmem(ichknum), |
| 357 |
& ftlxxmemo, gfd, ratio_ftl |
| 358 |
cph) |
| 359 |
else |
| 360 |
c |
| 361 |
print *, 'ph-grd 3 -------------------------------' |
| 362 |
print *, 'ph-grd 3 : ierr = ', ierr, |
| 363 |
& ', icomp = ', icomp |
| 364 |
endif |
| 365 |
else |
| 366 |
ierr_grdchk = -1 |
| 367 |
endif |
| 368 |
|
| 369 |
enddo |
| 370 |
endif |
| 371 |
|
| 372 |
c-- Everyone has to wait for the component to be reset. |
| 373 |
_BARRIER |
| 374 |
|
| 375 |
enddo |
| 376 |
|
| 377 |
CALL WRITE_REC_XYZ_RL( 'grd_findiff' , tmpplot1, 1, 0, myThid) |
| 378 |
CALL WRITE_REC_XYZ_RL( 'grd_ratio_ad' , tmpplot2, 1, 0, myThid) |
| 379 |
CALL WRITE_REC_XYZ_RL( 'grd_ratio_ftl' , tmpplot3, 1, 0, myThid) |
| 380 |
|
| 381 |
c-- Print the results of the gradient check. |
| 382 |
call grdchk_print( ichknum, ierr_grdchk, mythid ) |
| 383 |
|
| 384 |
#endif /* ALLOW_GRADIENT_CHECK */ |
| 385 |
|
| 386 |
end |
Parent Directory
| 
Revision Log
| 
Revision Graph