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C $Header: /u/gcmpack/MITgcm/pkg/grdchk/grdchk_main.F,v 1.42 2012/08/25 14:18:51 jmc Exp $ |
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C $Name: $ |
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|
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#include "GRDCHK_OPTIONS.h" |
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#include "AD_CONFIG.h" |
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#ifdef ALLOW_COST |
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# include "COST_OPTIONS.h" |
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#endif |
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#ifdef ALLOW_CTRL |
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# include "CTRL_OPTIONS.h" |
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#endif |
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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_getadxx - get gradient component calculated |
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C | via adjoint |
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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 |-- 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 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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#include "ctrl.h" |
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#include "g_cost.h" |
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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_GRDCHK |
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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, bj |
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INTEGER i, j, k |
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INTEGER iMin, iMax, jMin, jMax |
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PARAMETER( iMin = 1 , iMax = sNx , jMin = 1 , jMax = sNy ) |
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INTEGER ioUnit |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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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 icglo |
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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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_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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C == end of interface == |
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CEOP |
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|
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ioUnit = standardMessageUnit |
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WRITE(msgBuf,'(A)') |
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&'// =======================================================' |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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WRITE(msgBuf,'(A)') '// Gradient-check starts (grdchk_main)' |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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WRITE(msgBuf,'(A)') |
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&'// =======================================================' |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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|
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#ifdef ALLOW_TANGENTLINEAR_RUN |
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C-- prevent writing output multiple times |
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C note: already called in AD run so that only needed for TLM run |
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CALL TURNOFF_MODEL_IO( 0, myThid ) |
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#endif |
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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 model 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 = 0 |
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ierr_grdchk = 0 |
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adxxmemo = 0. |
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ftlxxmemo = 0. |
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#if (defined (ALLOW_ADMTLM)) |
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fcref = objf_state_final(idep,jdep,1,1,1) |
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#elif (defined (ALLOW_OPENAD)) |
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fcref = fc%v |
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#else |
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fcref = fc |
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#endif |
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WRITE(msgBuf,'(A,1PE22.14)') |
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& 'grdchk reference fc: fcref =', fcref |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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|
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DO bj = myByLo(myThid), myByHi(myThid) |
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DO bi = myBxLo(myThid), myBxHi(myThid) |
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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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ENDDO |
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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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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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ENDIF |
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|
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WRITE(standardmessageunit,'(A)') |
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& 'grad-res -------------------------------' |
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WRITE(standardmessageunit,'(2a)') |
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& ' grad-res proc # i j k bi bj iobc', |
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& ' fc ref fc + eps fc - eps' |
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#ifdef ALLOW_TANGENTLINEAR_RUN |
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WRITE(standardmessageunit,'(2a)') |
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& ' grad-res proc # i j k bi bj iobc', |
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& ' tlm grad fd grad 1 - fd/tlm' |
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#else |
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WRITE(standardmessageunit,'(2a)') |
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& ' grad-res proc # i j k bi bj iobc', |
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& ' adj grad 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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IF ( nbeg .EQ. 0 ) CALL GRDCHK_GET_POSITION( myThid ) |
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|
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DO icomp = nbeg, nend, nstep |
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|
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adxxmemo = 0. |
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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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WRITE(msgBuf,'(A,I4,A)') |
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& '====== Starts gradient-check number', ichknum, |
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& ' (=ichknum) =======' |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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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, icglo, itest, ierr, |
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& myThid ) |
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ELSE |
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icvrec = 0 |
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itile = 0 |
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jtile = 0 |
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layer = 0 |
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obcspos = 0 |
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itilepos = 0 |
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jtilepos = 0 |
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icglo = 0 |
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itest = 0 |
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ENDIF |
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|
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C make sure that all procs have correct file records, so that useSingleCpuIO works |
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CALL GLOBAL_SUM_INT( icvrec , myThid ) |
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CALL GLOBAL_SUM_INT( layer , myThid ) |
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CALL GLOBAL_SUM_INT( ierr , myThid ) |
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|
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WRITE(msgBuf,'(A,3I5,A,2I4,A,I3,A,I4)') |
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& 'grdchk pos: i,j,k=', itilepos, jtilepos, layer, |
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& ' ; bi,bj=', itile, jtile, ' ; iobc=', obcspos, |
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& ' ; rec=', icvrec |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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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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CALL GRDCHK_GETADXX( icvrec, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& adxxmemo, ierr, myThid ) |
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C-- Add a global-sum call so that all proc will get the adjoint gradient |
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_GLOBAL_SUM_RL( adxxmemo, myThid ) |
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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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|
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C-- 1. perturb control vector component: xx(i)=1. |
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|
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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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& ierr, myThid ) |
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|
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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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#ifdef ALLOW_ADMTLM |
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DO k=1,4*Nr+1 |
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DO j=1,sNy |
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DO i=1,sNx |
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g_objf_state_final(i,j,1,1,k) = 0. |
292 |
ENDDO |
293 |
ENDDO |
294 |
ENDDO |
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#else |
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g_fc = 0. |
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#endif |
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|
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CALL G_THE_MAIN_LOOP( myTime, myIter, myThid ) |
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#ifdef ALLOW_ADMTLM |
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ftlxxmemo = g_objf_state_final(idep,jdep,1,1,1) |
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#else |
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ftlxxmemo = g_fc |
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#endif |
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|
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C-- 3. reset control vector |
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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, ierr, myThid ) |
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|
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#endif /* ALLOW_TANGENTLINEAR_RUN */ |
313 |
|
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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-- (C-1) positive perturbation: |
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localEps = ABS(grdchk_eps) |
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|
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C-- get control vector component from file |
322 |
C-- perturb it and write back to file |
323 |
CALL GRDCHK_GETXX( icvrec, FORWARD_SIMULATION, |
324 |
& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, xxmemo_pert, localEps, |
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& ierr, myThid ) |
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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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#ifdef ALLOW_OPENAD |
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CALL OpenAD_THE_MAIN_LOOP( myTime, myIter, myThid ) |
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#else |
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CALL THE_MAIN_LOOP( myTime, myIter, myThid ) |
336 |
#endif |
337 |
|
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#if (defined (ALLOW_ADMTLM)) |
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fcpertplus = objf_state_final(idep,jdep,1,1,1) |
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#elif (defined (ALLOW_OPENAD)) |
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fcpertplus = fc%v |
342 |
#else |
343 |
fcpertplus = fc |
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#endif |
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WRITE(msgBuf,'(A,1PE22.14)') |
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& 'grdchk perturb(+)fc: fcpertplus =', fcpertplus |
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CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
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|
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C-- Reset control vector. |
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CALL GRDCHK_SETXX( icvrec, FORWARD_SIMULATION, |
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& itile, jtile, layer, |
352 |
& itilepos, jtilepos, |
353 |
& xxmemo_ref, ierr, myThid ) |
354 |
|
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fcpertminus = fcref |
356 |
IF ( useCentralDiff ) THEN |
357 |
C-- (C-2) repeat the proceedure for a negative perturbation: |
358 |
localEps = - ABS(grdchk_eps) |
359 |
|
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C-- get control vector component from file |
361 |
C-- perturb it and write back to file |
362 |
CALL GRDCHK_GETXX( icvrec, FORWARD_SIMULATION, |
363 |
& itile, jtile, layer, |
364 |
& itilepos, jtilepos, |
365 |
& xxmemo_ref, xxmemo_pert, localEps, |
366 |
& ierr, myThid ) |
367 |
|
368 |
C-- forward run with perturbed control vector |
369 |
myTime = startTime |
370 |
myIter = nIter0 |
371 |
#ifdef ALLOW_OPENAD |
372 |
CALL OpenAD_THE_MAIN_LOOP( myTime, myIter, myThid ) |
373 |
#else |
374 |
CALL THE_MAIN_LOOP( myTime, myIter, myThid ) |
375 |
#endif |
376 |
|
377 |
#if (defined (ALLOW_ADMTLM)) |
378 |
fcpertminus = objf_state_final(idep,jdep,1,1,1) |
379 |
#elif (defined (ALLOW_OPENAD)) |
380 |
fcpertminus = fc%v |
381 |
#else |
382 |
fcpertminus = fc |
383 |
#endif |
384 |
WRITE(msgBuf,'(A,1PE22.14)') |
385 |
& 'grdchk perturb(-)fc: fcpertminus =', fcpertminus |
386 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
387 |
|
388 |
C-- Reset control vector. |
389 |
CALL GRDCHK_SETXX( icvrec, FORWARD_SIMULATION, |
390 |
& itile, jtile, layer, |
391 |
& itilepos, jtilepos, |
392 |
& xxmemo_ref, ierr, myThid ) |
393 |
|
394 |
C-- end of if useCentralDiff ... |
395 |
ENDIF |
396 |
|
397 |
C****************************************************** |
398 |
C-- (D): calculate relative differences between gradients |
399 |
C****************************************************** |
400 |
|
401 |
IF ( grdchk_eps .EQ. 0. ) THEN |
402 |
gfd = (fcpertplus-fcpertminus) |
403 |
ELSE |
404 |
gfd = (fcpertplus-fcpertminus) /(grdchk_epsfac*grdchk_eps) |
405 |
ENDIF |
406 |
|
407 |
IF ( adxxmemo .EQ. 0. ) THEN |
408 |
ratio_ad = ABS( adxxmemo - gfd ) |
409 |
ELSE |
410 |
ratio_ad = 1. - gfd/adxxmemo |
411 |
ENDIF |
412 |
|
413 |
IF ( ftlxxmemo .EQ. 0. ) THEN |
414 |
ratio_ftl = ABS( ftlxxmemo - gfd ) |
415 |
ELSE |
416 |
ratio_ftl = 1. - gfd/ftlxxmemo |
417 |
ENDIF |
418 |
|
419 |
IF ( myProcId .EQ. grdchkwhichproc .AND. ierr .EQ. 0 ) THEN |
420 |
tmpplot1(itilepos,jtilepos,layer,itile,jtile) = gfd |
421 |
tmpplot2(itilepos,jtilepos,layer,itile,jtile) = ratio_ad |
422 |
tmpplot3(itilepos,jtilepos,layer,itile,jtile) = ratio_ftl |
423 |
ENDIF |
424 |
|
425 |
IF ( ierr .EQ. 0 ) THEN |
426 |
fcrmem ( ichknum ) = fcref |
427 |
fcppmem ( ichknum ) = fcpertplus |
428 |
fcpmmem ( ichknum ) = fcpertminus |
429 |
xxmemref ( ichknum ) = xxmemo_ref |
430 |
xxmempert ( ichknum ) = xxmemo_pert |
431 |
gfdmem ( ichknum ) = gfd |
432 |
adxxmem ( ichknum ) = adxxmemo |
433 |
ftlxxmem ( ichknum ) = ftlxxmemo |
434 |
ratioadmem ( ichknum ) = ratio_ad |
435 |
ratioftlmem ( ichknum ) = ratio_ftl |
436 |
|
437 |
irecmem ( ichknum ) = icvrec |
438 |
bimem ( ichknum ) = itile |
439 |
bjmem ( ichknum ) = jtile |
440 |
ilocmem ( ichknum ) = itilepos |
441 |
jlocmem ( ichknum ) = jtilepos |
442 |
klocmem ( ichknum ) = layer |
443 |
iobcsmem ( ichknum ) = obcspos |
444 |
icompmem ( ichknum ) = icomp |
445 |
ichkmem ( ichknum ) = ichknum |
446 |
itestmem ( ichknum ) = itest |
447 |
ierrmem ( ichknum ) = ierr |
448 |
icglomem ( ichknum ) = icglo |
449 |
ENDIF |
450 |
|
451 |
IF ( myProcId .EQ. grdchkwhichproc .AND. ierr .EQ. 0 ) THEN |
452 |
WRITE(standardmessageunit,'(A)') |
453 |
& 'grad-res -------------------------------' |
454 |
WRITE(standardmessageunit,'(A,8I5,1x,1P3E19.11)') |
455 |
& ' grad-res ',myprocid,ichknum,itilepos,jtilepos, |
456 |
& layer,itile,jtile,obcspos, |
457 |
& fcref, fcpertplus, fcpertminus |
458 |
#ifdef ALLOW_TANGENTLINEAR_RUN |
459 |
WRITE(standardmessageunit,'(A,8I5,1x,1P3E19.11)') |
460 |
& ' grad-res ',myprocid,ichknum,ichkmem(ichknum), |
461 |
& icompmem(ichknum),itestmem(ichknum), |
462 |
& bimem(ichknum),bjmem(ichknum),iobcsmem(ichknum), |
463 |
& ftlxxmemo, gfd, ratio_ftl |
464 |
#else |
465 |
WRITE(standardmessageunit,'(A,8I5,1x,1P3E19.11)') |
466 |
& ' grad-res ',myprocid,ichknum,ichkmem(ichknum), |
467 |
& icompmem(ichknum),itestmem(ichknum), |
468 |
& bimem(ichknum),bjmem(ichknum),iobcsmem(ichknum), |
469 |
& adxxmemo, gfd, ratio_ad |
470 |
#endif |
471 |
ENDIF |
472 |
#ifdef ALLOW_TANGENTLINEAR_RUN |
473 |
WRITE(msgBuf,'(A30,1PE22.14)') |
474 |
& ' TLM ref_cost_function =', fcref |
475 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
476 |
WRITE(msgBuf,'(A30,1PE22.14)') |
477 |
& ' TLM tangent-lin_grad =', ftlxxmemo |
478 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
479 |
WRITE(msgBuf,'(A30,1PE22.14)') |
480 |
& ' TLM finite-diff_grad =', gfd |
481 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
482 |
#else |
483 |
WRITE(msgBuf,'(A30,1PE22.14)') |
484 |
& ' ADM ref_cost_function =', fcref |
485 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
486 |
WRITE(msgBuf,'(A30,1PE22.14)') |
487 |
& ' ADM adjoint_gradient =', adxxmemo |
488 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
489 |
WRITE(msgBuf,'(A30,1PE22.14)') |
490 |
& ' ADM finite-diff_grad =', gfd |
491 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
492 |
#endif |
493 |
|
494 |
WRITE(msgBuf,'(A,I4,A,I3,A)') |
495 |
& '====== End of gradient-check number', ichknum, |
496 |
& ' (ierr=', ierr, ') =======' |
497 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
498 |
|
499 |
C-- else of if ichknum < ... |
500 |
ELSE |
501 |
ierr_grdchk = -1 |
502 |
|
503 |
C-- end of if ichknum < ... |
504 |
ENDIF |
505 |
|
506 |
C-- end of do icomp = ... |
507 |
ENDDO |
508 |
|
509 |
IF (myProcId .EQ. grdchkwhichproc .AND. .NOT.useSingleCpuIO) THEN |
510 |
CALL WRITE_REC_XYZ_RL( |
511 |
& 'grd_findiff' , tmpplot1, 1, 0, myThid) |
512 |
CALL WRITE_REC_XYZ_RL( |
513 |
& 'grd_ratio_ad' , tmpplot2, 1, 0, myThid) |
514 |
CALL WRITE_REC_XYZ_RL( |
515 |
& 'grd_ratio_ftl' , tmpplot3, 1, 0, myThid) |
516 |
ENDIF |
517 |
|
518 |
C-- Print the results of the gradient check. |
519 |
CALL GRDCHK_PRINT( ichknum, ierr_grdchk, myThid ) |
520 |
|
521 |
#endif /* ALLOW_GRDCHK */ |
522 |
|
523 |
RETURN |
524 |
END |