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C |
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C $Header: /u/u3/gcmpack/MITgcm/pkg/grdchk/grdchk_main.F,v 1.9 2003/10/02 21:30:22 heimbach Exp $ |
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C $Name: $ |
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|
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#include "AD_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
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|
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CBOI |
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C |
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C !TITLE: GRADIENT CHECK |
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C !AUTHORS: mitgcm developers ( support@mitgcm.org ) |
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C !AFFILIATION: Massachussetts Institute of Technology |
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C !DATE: |
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C !INTRODUCTION: gradient check package |
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c \bv |
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c Compare the gradients calculated by the adjoint model with |
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c finite difference approximations. |
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c |
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C !CALLING SEQUENCE: |
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c |
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c the_model_main |
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c | |
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c |-- ctrl_unpack |
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c |-- adthe_main_loop - unperturbed cost function and |
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c |-- ctrl_pack adjoint gradient are computed here |
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c | |
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c |-- grdchk_main |
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c | |
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c |-- grdchk_init |
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c |-- do icomp=... - loop over control vector elements |
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c | |
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c |-- grdchk_loc - determine location of icomp on grid |
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c | |
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c |-- grdchk_getxx - get control vector component from file |
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c | perturb it and write back to file |
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c |-- grdchk_getadxx - get gradient component calculated |
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c | via adjoint |
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c |-- the_main_loop - forward run and cost evaluation |
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c | with perturbed control vector element |
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c |-- calculate ratio of adj. vs. finite difference gradient |
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c | |
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c |-- grdchk_setxx - Reset control vector element |
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c | |
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c |-- grdchk_print - print results |
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c \ev |
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CEOI |
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|
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CBOP |
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C !ROUTINE: grdchk_main |
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C !INTERFACE: |
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subroutine grdchk_main( mythid ) |
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|
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C !DESCRIPTION: \bv |
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c ================================================================== |
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c SUBROUTINE grdchk_main |
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c ================================================================== |
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c o Compare the gradients calculated by the adjoint model with |
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c finite difference approximations. |
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c started: Christian Eckert eckert@mit.edu 24-Feb-2000 |
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c continued&finished: heimbach@mit.edu: 13-Jun-2001 |
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c changed: mlosch@ocean.mit.edu: 09-May-2002 |
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c - added centered difference vs. 1-sided difference option |
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c - improved output format for readability |
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c - added control variable hFacC |
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c heimbach@mit.edu 24-Feb-2003 |
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c - added tangent linear gradient checks |
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c - fixes for multiproc. gradient checks |
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c - added more control variables |
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c |
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c ================================================================== |
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c SUBROUTINE grdchk_main |
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c ================================================================== |
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C \ev |
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|
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C !USES: |
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implicit none |
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|
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c == global variables == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "grdchk.h" |
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#include "cost.h" |
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#ifdef ALLOW_TANGENTLINEAR_RUN |
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#include "g_cost.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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c == routine arguments == |
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integer mythid |
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|
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#ifdef ALLOW_GRADIENT_CHECK |
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C !LOCAL VARIABLES: |
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c == local variables == |
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integer myiter |
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_RL mytime |
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integer bi, itlo, ithi |
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integer bj, jtlo, jthi |
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integer i, imin, imax |
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integer j, jmin, jmax |
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integer k |
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|
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integer icomp |
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integer ichknum |
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integer icvrec |
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integer jtile |
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integer itile |
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integer layer |
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integer obcspos |
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integer itilepos |
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integer jtilepos |
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integer itest |
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integer ierr |
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integer ierr_grdchk |
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_RL gfd |
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_RL fcref |
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_RL fcpertplus, fcpertminus |
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_RL ratio_ad |
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_RL ratio_ftl |
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_RL xxmemo_ref |
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_RL xxmemo_pert |
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_RL adxxmemo |
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_RL ftlxxmemo |
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_RL localEps |
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_RL grdchk_epsfac |
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|
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_RL tmpplot1(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
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_RL tmpplot2(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
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_RL tmpplot3(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
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|
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c == end of interface == |
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CEOP |
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|
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c-- Set the loop ranges. |
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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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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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c-- initialise variables |
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call grdchk_init( mythid ) |
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|
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c-- Compute the adjoint models' gradients. |
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c-- Compute the unperturbed cost function. |
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cph Gradient via adjoint has already been computed, |
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cph and so has unperturbed cost function, |
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cph assuming all xx_ fields are initialised to zero. |
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|
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ierr_grdchk = 0 |
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cphadmtlm( |
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fcref = fc |
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cphadmtlm fcref = objf_state_final(45,4,1,1) |
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cphadmtlm) |
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|
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print *, 'ph-check fcref = ', fcref |
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|
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do bj = jtlo, jthi |
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do bi = itlo, ithi |
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do k = 1, nr |
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do j = jmin, jmax |
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do i = imin, imax |
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tmpplot1(i,j,k,bi,bj) = 0. _d 0 |
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tmpplot2(i,j,k,bi,bj) = 0. _d 0 |
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tmpplot3(i,j,k,bi,bj) = 0. _d 0 |
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end do |
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end do |
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end do |
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end do |
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end do |
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|
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if ( useCentralDiff ) then |
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grdchk_epsfac = 2. _d 0 |
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else |
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grdchk_epsfac = 1. _d 0 |
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end if |
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|
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print *, 'ph-grd 3 -------------------------------' |
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print ('(2a)'), |
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& ' ph-grd 3 proc # i j k fc ref', |
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& ' fc + eps fc - eps' |
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#ifdef ALLOW_TANGENTLINEAR_RUN |
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print ('(2a)'), |
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& ' ph-grd 3 proc # i j k tlm grad', |
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& ' fd grad 1 - fd/tlm' |
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#else |
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print ('(2a)'), |
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& ' ph-grd 3 proc # i j k adj grad', |
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& ' fd grad 1 - fd/adj' |
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#endif |
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|
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c-- Compute the finite difference approximations. |
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c-- Cycle through all processes doing NINT(nend-nbeg+1)/nstep |
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c-- gradient checks. |
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|
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do icomp = nbeg, nend, nstep |
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|
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ichknum = (icomp - nbeg)/nstep + 1 |
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|
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if (ichknum .le. maxgrdchecks ) then |
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|
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c-- Determine the location of icomp on the grid. |
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if ( myProcId .EQ. grdchkwhichproc ) then |
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call grdchk_loc( icomp, ichknum, |
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& icvrec, itile, jtile, layer, obcspos, |
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& itilepos, jtilepos, itest, ierr, |
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& mythid ) |
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endif |
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_BARRIER |
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|
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c****************************************************** |
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c-- (A): get gradient component calculated via adjoint |
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c****************************************************** |
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|
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c-- get gradient component calculated via adjoint |
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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call grdchk_getadxx( icvrec, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& adxxmemo, mythid ) |
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endif |
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_BARRIER |
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|
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#ifdef ALLOW_TANGENTLINEAR_RUN |
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c****************************************************** |
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c-- (B): Get gradient component g_fc from tangent linear run: |
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c****************************************************** |
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c-- |
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c-- 1. perturb control vector component: xx(i)=1. |
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|
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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localEps = 1. _d 0 |
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call grdchk_getxx( icvrec, TANGENT_SIMULATION, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, xxmemo_pert, localEps, |
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& mythid ) |
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endif |
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_BARRIER |
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|
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c-- |
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c-- 2. perform tangent linear run |
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mytime = starttime |
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myiter = niter0 |
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cphadmtlm( |
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g_fc = 0. |
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cphadmtlm do j=1,sny |
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cphadmtlm do i=1,snx |
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cphadmtlm g_objf_state_final(i,j,1,1) = 0. |
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cphadmtlm enddo |
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cphadmtlm enddo |
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cphadmtlm) |
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call g_the_main_loop( mytime, myiter, mythid ) |
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cphadmtlm( |
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ftlxxmemo = g_fc |
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cphadmtlm ftlxxmemo = g_objf_state_final(45,4,1,1) |
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cphadmtlm) |
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_BARRIER |
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c-- |
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c-- 3. reset control vector |
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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call grdchk_setxx( icvrec, TANGENT_SIMULATION, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, mythid ) |
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endif |
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_BARRIER |
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|
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#endif /* ALLOW_TANGENTLINEAR_RUN */ |
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|
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|
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c****************************************************** |
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c-- (C): Get gradient via finite difference perturbation |
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c****************************************************** |
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|
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c-- get control vector component from file |
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c-- perturb it and write back to file |
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c-- positive perturbation |
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localEps = abs(grdchk_eps) |
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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call grdchk_getxx( icvrec, FORWARD_SIMULATION, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, xxmemo_pert, localEps, |
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& mythid ) |
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endif |
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_BARRIER |
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|
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c-- forward run with perturbed control vector |
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mytime = starttime |
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myiter = niter0 |
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call the_main_loop( mytime, myiter, mythid ) |
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cphadmtlm( |
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fcpertplus = fc |
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cphadmtlm fcpertplus = objf_state_final(45,4,1,1) |
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cphadmtlm) |
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_BARRIER |
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|
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c-- Reset control vector. |
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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call grdchk_setxx( icvrec, FORWARD_SIMULATION, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, mythid ) |
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endif |
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_BARRIER |
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|
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fcpertminus = fcref |
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|
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if ( useCentralDiff ) then |
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|
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c-- get control vector component from file |
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c-- perturb it and write back to file |
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c-- repeat the proceedure for a negative perturbation |
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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localEps = - abs(grdchk_eps) |
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call grdchk_getxx( icvrec, FORWARD_SIMULATION, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, xxmemo_pert, localEps, |
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& mythid ) |
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endif |
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_BARRIER |
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|
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c-- forward run with perturbed control vector |
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mytime = starttime |
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myiter = niter0 |
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call the_main_loop( mytime, myiter, mythid ) |
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_BARRIER |
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fcpertminus = fc |
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|
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c-- Reset control vector. |
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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call grdchk_setxx( icvrec, FORWARD_SIMULATION, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, mythid ) |
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endif |
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_BARRIER |
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|
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c-- end of if useCentralDiff ... |
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end if |
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|
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c****************************************************** |
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c-- (D): calculate relative differences between gradients |
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c****************************************************** |
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|
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if ( myProcId .EQ. grdchkwhichproc .AND. |
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& ierr .EQ. 0 ) then |
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|
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if ( grdchk_eps .eq. 0. ) then |
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gfd = (fcpertplus-fcpertminus) |
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else |
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gfd = (fcpertplus-fcpertminus) |
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& /(grdchk_epsfac*grdchk_eps) |
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endif |
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|
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if ( adxxmemo .eq. 0. ) then |
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ratio_ad = abs( adxxmemo - gfd ) |
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else |
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ratio_ad = 1. - gfd/adxxmemo |
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endif |
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|
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if ( ftlxxmemo .eq. 0. ) then |
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ratio_ftl = abs( ftlxxmemo - gfd ) |
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else |
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ratio_ftl = 1. - gfd/ftlxxmemo |
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endif |
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|
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tmpplot1(itilepos,jtilepos,layer,itile,jtile) |
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& = gfd |
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tmpplot2(itilepos,jtilepos,layer,itile,jtile) |
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& = ratio_ad |
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tmpplot3(itilepos,jtilepos,layer,itile,jtile) |
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& = ratio_ftl |
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|
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fcrmem ( ichknum ) = fcref |
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fcppmem ( ichknum ) = fcpertplus |
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fcpmmem ( ichknum ) = fcpertminus |
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xxmemref ( ichknum ) = xxmemo_ref |
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xxmempert ( ichknum ) = xxmemo_pert |
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gfdmem ( ichknum ) = gfd |
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adxxmem ( ichknum ) = adxxmemo |
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ftlxxmem ( ichknum ) = ftlxxmemo |
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ratioadmem ( ichknum ) = ratio_ad |
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ratioftlmem ( ichknum ) = ratio_ftl |
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|
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irecmem ( ichknum ) = icvrec |
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bimem ( ichknum ) = itile |
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bjmem ( ichknum ) = jtile |
| 401 |
ilocmem ( ichknum ) = itilepos |
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jlocmem ( ichknum ) = jtilepos |
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klocmem ( ichknum ) = layer |
| 404 |
iobcsmem ( ichknum ) = obcspos |
| 405 |
icompmem ( ichknum ) = icomp |
| 406 |
ichkmem ( ichknum ) = ichknum |
| 407 |
itestmem ( ichknum ) = itest |
| 408 |
ierrmem ( ichknum ) = ierr |
| 409 |
|
| 410 |
print *, 'ph-grd 3 -------------------------------' |
| 411 |
print '(a,5I5,2x,3(1x,E15.9))', ' ph-grd 3 ', |
| 412 |
& myprocid,ichknum,itilepos,jtilepos,layer, |
| 413 |
& fcref, fcpertplus, fcpertminus |
| 414 |
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 415 |
print '(a,5I5,2x,3(1x,E15.9))', ' ph-grd 3 ', |
| 416 |
& myprocid,ichknum,ichkmem(ichknum), |
| 417 |
& icompmem(ichknum),itestmem(ichknum), |
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& ftlxxmemo, gfd, ratio_ftl |
| 419 |
#else |
| 420 |
print '(a,5I5,2x,3(1x,E15.9))', ' ph-grd 3 ', |
| 421 |
& myprocid,ichknum,ichkmem(ichknum), |
| 422 |
& icompmem(ichknum),itestmem(ichknum), |
| 423 |
& adxxmemo, gfd, ratio_ad |
| 424 |
#endif |
| 425 |
|
| 426 |
endif |
| 427 |
|
| 428 |
print *, 'ph-grd ierr ---------------------------' |
| 429 |
print *, 'ph-grd ierr = ', ierr, ', icomp = ', icomp, |
| 430 |
& ', ichknum = ', ichknum |
| 431 |
|
| 432 |
_BARRIER |
| 433 |
|
| 434 |
c-- else of if ( ichknum ... |
| 435 |
else |
| 436 |
ierr_grdchk = -1 |
| 437 |
|
| 438 |
c-- end of if ( ichknum ... |
| 439 |
endif |
| 440 |
|
| 441 |
c-- end of do icomp = ... |
| 442 |
enddo |
| 443 |
|
| 444 |
if ( myProcId .EQ. grdchkwhichproc ) then |
| 445 |
CALL WRITE_REC_XYZ_RL( |
| 446 |
& 'grd_findiff' , tmpplot1, 1, 0, myThid) |
| 447 |
CALL WRITE_REC_XYZ_RL( |
| 448 |
& 'grd_ratio_ad' , tmpplot2, 1, 0, myThid) |
| 449 |
CALL WRITE_REC_XYZ_RL( |
| 450 |
& 'grd_ratio_ftl' , tmpplot3, 1, 0, myThid) |
| 451 |
endif |
| 452 |
|
| 453 |
c-- Everyone has to wait for the component to be reset. |
| 454 |
_BARRIER |
| 455 |
|
| 456 |
c-- Print the results of the gradient check. |
| 457 |
call grdchk_print( ichknum, ierr_grdchk, mythid ) |
| 458 |
|
| 459 |
#endif /* ALLOW_GRADIENT_CHECK */ |
| 460 |
|
| 461 |
end |
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