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C $Header: /u/gcmpack/MITgcm/pkg/ecco/cost_ssh_mean.F,v 1.11 2012/08/10 19:45:27 jmc Exp $ |
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C $Name: $ |
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|
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#include "ECCO_OPTIONS.h" |
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#define ORIGINAL_COST_SSH_MEAN |
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|
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subroutine cost_ssh_mean( |
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I psmean, offset |
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O , costmean |
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I , mythid |
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& ) |
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|
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c ================================================================== |
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c SUBROUTINE cost_ssh_mean |
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c ================================================================== |
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c |
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c o Evaluate cost function contribution of sea surface height. |
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c using of geoid error covariances requires regular model grid |
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c o TODO: interpolate model grid to regular grid |
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c check mask |
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c |
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c started: Detlef Stammer, Ralf Giering Jul-1996 |
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c changed: Ralf Giering Ralf.Giering@FastOpt.de 12-Jun-2001 |
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c - totally rewrite for parallel processing |
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c heimbach@mit.edu 13-Mar-2002 |
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c - several wrong i-loop boundaries (spotted by G. Gebbie) |
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c - nprocs need to be replaced by nPx*nPy |
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c - geoid error does not work as of now |
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c heimbach@mit.edu 05-May-2005 |
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c - debugged and restructuted |
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c |
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c ================================================================== |
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c SUBROUTINE cost_ssh_mean |
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c ================================================================== |
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|
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implicit none |
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|
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c == global variables == |
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|
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#include "EEPARAMS.h" |
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#include "SIZE.h" |
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#include "PARAMS.h" |
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|
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#include "ecco_cost.h" |
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#include "optim.h" |
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|
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#ifdef ALLOW_EGM96_ERROR_COV |
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# ifdef ALLOW_USE_MPI |
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# include "EESUPPORT.h" |
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# else |
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INTEGER nProcs |
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PARAMETER (nProcs=1) |
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# endif |
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# include "sphere.h" |
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#endif |
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|
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c == routine arguments == |
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|
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_RL psmean ( 1-olx:snx+olx, 1-oly:sny+oly, nsx, nsy ) |
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_RL offset |
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_RL costmean |
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integer mythid |
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|
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c == local variables == |
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|
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integer bi,bj |
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integer i,j |
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integer itlo,ithi |
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integer jtlo,jthi |
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integer jmin,jmax |
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integer imin,imax |
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|
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cph( |
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_RL diagnosfld(1-olx:snx+olx,1-oly:sny+oly,nsx,nsy) |
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cph) |
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|
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#ifdef ALLOW_EGM96_ERROR_COV |
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_RL cphi |
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_RL xmean |
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_RL shc( ncshc ) |
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_RL misfit ( 1-olx:snx+olx, 1-oly:sny+oly, nsx,nsy ) |
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_RL misfitgl( 1-olx:snx+olx, 1-oly:sny+oly, nsx,nsy, npx,npy ) |
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|
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_RL pwork ( (lshcmax+1)*(lshcmax+2)/2 ) |
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_RL diffearth ( lonshc, latshc ) |
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integer joffset |
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integer ipx, ipy |
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integer iglobe, jglobe |
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integer iproc |
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integer mpirc |
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integer mpicrd(2) |
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#endif |
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|
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_RL diff |
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_RL sumc |
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character*(max_len_mbuf) msgbuf |
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_RL sumC0, sumC1, sumC2 |
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|
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c == end of interface == |
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|
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c-- Initialise local variables. |
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jtlo = mybylo(mythid) |
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jthi = mybyhi(mythid) |
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itlo = mybxlo(mythid) |
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ithi = mybxhi(mythid) |
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|
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jmin = 1 |
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jmax = sny |
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imin = 1 |
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imax = snx |
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|
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costmean = 0. |
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|
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#ifdef ALLOW_EGM96_ERROR_COV |
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|
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c-- compute misfit on local domain |
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do bj = jtlo,jthi |
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do bi = itlo,ithi |
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do j = jmin,jmax |
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do i = imin,imax |
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if ( tpmeanmask(i,j,bi,bj) .gt. 0. ) then |
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misfit(i,j,bi,bj) = |
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& tpmean(i,j,bi,bj) - offset - psmean(i,j,bi,bj) |
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else |
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misfit(i,j,bi,bj) = 0. |
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endif |
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enddo |
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enddo |
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enddo |
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enddo |
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|
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c-- communicate to get misfit on full 2d model surface grid |
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#ifdef ALLOW_USE_MPI |
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call exch_all_2d_rl( misfit, misfitgl, mythid ) |
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#else |
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do bj = jtlo,jthi |
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do bi = itlo,ithi |
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do j = jmin,jmax |
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do i = imin,imax |
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misfitgl(i,j,bi,bj,1,1) = misfit(i,j,bi,bj) |
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enddo |
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enddo |
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enddo |
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enddo |
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#endif |
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|
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c-- set meridional index offset, |
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c-- it is non zero if the grid does no reach the poles |
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joffset = (latshc - ny)/2 |
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|
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write(msgbuf,'(a,I10)') |
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& 'cost_ssh_mean: grid starts at point ', joffset |
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call print_message( msgbuf, standardmessageunit, |
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& SQUEEZE_RIGHT , mythid) |
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|
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c-- preset field |
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c-- necessary if the grid does no reach the poles |
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do j = 1, latshc |
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do i = 1, lonshc |
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diffearth(i,j) = 0. |
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enddo |
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enddo |
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|
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c-- -interpolate- from model grid to regular grid |
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c-- so far we assume that the model grid is already regular |
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_BEGIN_MASTER( mythid ) |
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|
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do iproc = 1, nprocs |
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|
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#ifdef ALLOW_USE_MPI |
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c-- get coordinates of processor (iporc-1) |
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call MPI_Cart_coords( |
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I MPI_COMM_MODEL, iproc-1, 2, mpicrd |
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O , mpirc |
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& ) |
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ipx = 1 + mpicrd(1) |
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ipy = 1 + mpicrd(2) |
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#else |
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ipx = 1 |
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ipy = 1 |
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#endif |
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|
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do bj = jtlo,jthi |
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do bi = itlo,ithi |
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|
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do j = jmin,jmax |
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do i = imin,imax |
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jglobe = joffset+ j + sNy*(bj-1) + sNy*nSy*(ipy-1) |
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iglobe = i + sNx*(bi-1) + sNx*nSx*(ipx-1) |
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|
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diffearth(iglobe,jglobe) = misfitgl(i,j,bi,bj,ipx,ipy) |
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enddo |
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enddo |
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|
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enddo |
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enddo |
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|
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enddo |
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|
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c-- Project regular grid misfit onto sperical harmonics |
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call shc4grid( |
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I lshcmax |
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O , shc |
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I , latshc, lonshc |
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I , diffearth |
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W , pwork |
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& ) |
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|
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c-- Remove the C(0,0) component, i.e. the global mean. |
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shc(1) = 0. |
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|
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C-- Compute the cost function for the mean SSH. |
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call cost_geoid( |
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O costmean |
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I , shc |
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I , mythid |
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& ) |
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|
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_END_MASTER( mythid ) |
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|
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_BARRIER |
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|
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#else /* else ALLOW_EGM96_ERROR_COV */ |
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|
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c-- Compute cost function for SSH by using the diagonal |
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c-- of the error covariance only. |
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c-- |
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c-- Note: wp is assumed to include latitude dependence |
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c-- of error due to meridian convergence; |
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c-- --> no weighting by cosphi. |
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|
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#ifdef ORIGINAL_COST_SSH_MEAN |
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sumc = 0. |
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do bj = jtlo,jthi |
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do bi = itlo,ithi |
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do j = jmin,jmax |
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do i = imin,imax |
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diff = psmean(i,j,bi,bj) - tpmean(i,j,bi,bj) + offset |
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sumc = sumc + diff*diff |
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& * wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) |
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if ( wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) .ne. 0. ) |
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& num_hmean = num_hmean + 1. _d 0 |
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diagnosfld(i,j,bi,bj) = diff*diff |
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& * wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) |
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enddo |
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enddo |
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enddo |
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enddo |
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|
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c-- Do the global summation. |
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_GLOBAL_SUM_RL( sumc, mythid ) |
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_GLOBAL_SUM_RL( num_hmean, mythid ) |
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costmean = sumc |
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|
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#else /* ORIGINAL_COST_SSH_MEAN */ |
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C- Expand explicitly cost expression as quadratic function of "offset" |
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C to avoid problems with adjoint of global_sum function. |
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C Because of different truncation, expect also slight difference on 1 proc. |
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sumC0 = 0. |
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sumC1 = 0. |
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sumC2 = 0. |
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do bj = jtlo,jthi |
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do bi = itlo,ithi |
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do j = jmin,jmax |
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do i = imin,imax |
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diff = psmean(i,j,bi,bj) - tpmean(i,j,bi,bj) |
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sumC0 = sumC0 + wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) |
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sumC1 = sumC1 + diff |
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& * wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) |
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sumC2 = sumC2 + diff*diff |
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& * wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) |
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if ( wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) .ne. 0. ) |
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& num_hmean = num_hmean + 1. _d 0 |
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diagnosfld(i,j,bi,bj) = |
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& ( diff*diff + 2. _d 0*offset*diff + offset*offset ) |
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& * wp(i,j,bi,bj)*tpmeanmask(i,j,bi,bj) |
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enddo |
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enddo |
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enddo |
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enddo |
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|
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C-- Do the global summation. |
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_GLOBAL_SUM_RL( sumC0, mythid ) |
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_GLOBAL_SUM_RL( sumC1, mythid ) |
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_GLOBAL_SUM_RL( sumC2, mythid ) |
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_GLOBAL_SUM_RL( num_hmean, mythid ) |
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|
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costmean = sumC2 + 2. _d 0*offset*sumC1 + offset*offset*sumC0 |
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|
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#endif /* else ORIGINAL_COST_SSH_MEAN */ |
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|
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cph( |
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CALL WRITE_FLD_XY_RL( 'DiagnosSSHmean', ' ', diagnosfld, |
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& optimcycle, mythid ) |
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cph) |
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|
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#endif /* else ALLOW_EGM96_ERROR_COV */ |
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|
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return |
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end |
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