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C $Header: /u/gcmpack/MITgcm/pkg/grdchk/grdchk_main.F,v 1.40 2012/08/22 19:34:51 heimbach 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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|
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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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#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_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_AUTODIFF_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. |
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ENDDO |
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ENDDO |
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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 */ |
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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-- (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 |
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C-- perturb it and write back to file |
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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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& 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_AUTODIFF_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 ) |
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#endif |
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|
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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_AUTODIFF_OPENAD)) |
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fcpertplus = fc%v |
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#else |
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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, |
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& itilepos, jtilepos, |
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& xxmemo_ref, ierr, myThid ) |
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|
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fcpertminus = fcref |
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IF ( useCentralDiff ) THEN |
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C-- (C-2) repeat the proceedure for a negative perturbation: |
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localEps = - ABS(grdchk_eps) |
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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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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, |
| 362 |
& ierr, myThid ) |
| 363 |
|
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C-- forward run with perturbed control vector |
| 365 |
myTime = startTime |
| 366 |
myIter = nIter0 |
| 367 |
#ifdef ALLOW_AUTODIFF_OPENAD |
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CALL OpenAD_THE_MAIN_LOOP( myTime, myIter, myThid ) |
| 369 |
#else |
| 370 |
CALL THE_MAIN_LOOP( myTime, myIter, myThid ) |
| 371 |
#endif |
| 372 |
|
| 373 |
#if (defined (ALLOW_ADMTLM)) |
| 374 |
fcpertminus = objf_state_final(idep,jdep,1,1,1) |
| 375 |
#elif (defined (ALLOW_AUTODIFF_OPENAD)) |
| 376 |
fcpertminus = fc%v |
| 377 |
#else |
| 378 |
fcpertminus = fc |
| 379 |
#endif |
| 380 |
WRITE(msgBuf,'(A,1PE22.14)') |
| 381 |
& 'grdchk perturb(-)fc: fcpertminus =', fcpertminus |
| 382 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 383 |
|
| 384 |
C-- Reset control vector. |
| 385 |
CALL GRDCHK_SETXX( icvrec, FORWARD_SIMULATION, |
| 386 |
& itile, jtile, layer, |
| 387 |
& itilepos, jtilepos, |
| 388 |
& xxmemo_ref, ierr, myThid ) |
| 389 |
|
| 390 |
C-- end of if useCentralDiff ... |
| 391 |
ENDIF |
| 392 |
|
| 393 |
C****************************************************** |
| 394 |
C-- (D): calculate relative differences between gradients |
| 395 |
C****************************************************** |
| 396 |
|
| 397 |
IF ( grdchk_eps .EQ. 0. ) THEN |
| 398 |
gfd = (fcpertplus-fcpertminus) |
| 399 |
ELSE |
| 400 |
gfd = (fcpertplus-fcpertminus) /(grdchk_epsfac*grdchk_eps) |
| 401 |
ENDIF |
| 402 |
|
| 403 |
IF ( adxxmemo .EQ. 0. ) THEN |
| 404 |
ratio_ad = ABS( adxxmemo - gfd ) |
| 405 |
ELSE |
| 406 |
ratio_ad = 1. - gfd/adxxmemo |
| 407 |
ENDIF |
| 408 |
|
| 409 |
IF ( ftlxxmemo .EQ. 0. ) THEN |
| 410 |
ratio_ftl = ABS( ftlxxmemo - gfd ) |
| 411 |
ELSE |
| 412 |
ratio_ftl = 1. - gfd/ftlxxmemo |
| 413 |
ENDIF |
| 414 |
|
| 415 |
IF ( myProcId .EQ. grdchkwhichproc .AND. ierr .EQ. 0 ) THEN |
| 416 |
tmpplot1(itilepos,jtilepos,layer,itile,jtile) = gfd |
| 417 |
tmpplot2(itilepos,jtilepos,layer,itile,jtile) = ratio_ad |
| 418 |
tmpplot3(itilepos,jtilepos,layer,itile,jtile) = ratio_ftl |
| 419 |
ENDIF |
| 420 |
|
| 421 |
IF ( ierr .EQ. 0 ) THEN |
| 422 |
fcrmem ( ichknum ) = fcref |
| 423 |
fcppmem ( ichknum ) = fcpertplus |
| 424 |
fcpmmem ( ichknum ) = fcpertminus |
| 425 |
xxmemref ( ichknum ) = xxmemo_ref |
| 426 |
xxmempert ( ichknum ) = xxmemo_pert |
| 427 |
gfdmem ( ichknum ) = gfd |
| 428 |
adxxmem ( ichknum ) = adxxmemo |
| 429 |
ftlxxmem ( ichknum ) = ftlxxmemo |
| 430 |
ratioadmem ( ichknum ) = ratio_ad |
| 431 |
ratioftlmem ( ichknum ) = ratio_ftl |
| 432 |
|
| 433 |
irecmem ( ichknum ) = icvrec |
| 434 |
bimem ( ichknum ) = itile |
| 435 |
bjmem ( ichknum ) = jtile |
| 436 |
ilocmem ( ichknum ) = itilepos |
| 437 |
jlocmem ( ichknum ) = jtilepos |
| 438 |
klocmem ( ichknum ) = layer |
| 439 |
iobcsmem ( ichknum ) = obcspos |
| 440 |
icompmem ( ichknum ) = icomp |
| 441 |
ichkmem ( ichknum ) = ichknum |
| 442 |
itestmem ( ichknum ) = itest |
| 443 |
ierrmem ( ichknum ) = ierr |
| 444 |
icglomem ( ichknum ) = icglo |
| 445 |
ENDIF |
| 446 |
|
| 447 |
IF ( myProcId .EQ. grdchkwhichproc .AND. ierr .EQ. 0 ) THEN |
| 448 |
WRITE(standardmessageunit,'(A)') |
| 449 |
& 'grad-res -------------------------------' |
| 450 |
WRITE(standardmessageunit,'(A,8I5,1x,1P3E19.11)') |
| 451 |
& ' grad-res ',myprocid,ichknum,itilepos,jtilepos, |
| 452 |
& layer,itile,jtile,obcspos, |
| 453 |
& fcref, fcpertplus, fcpertminus |
| 454 |
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 455 |
WRITE(standardmessageunit,'(A,8I5,1x,1P3E19.11)') |
| 456 |
& ' grad-res ',myprocid,ichknum,ichkmem(ichknum), |
| 457 |
& icompmem(ichknum),itestmem(ichknum), |
| 458 |
& bimem(ichknum),bjmem(ichknum),iobcsmem(ichknum), |
| 459 |
& ftlxxmemo, gfd, ratio_ftl |
| 460 |
#else |
| 461 |
WRITE(standardmessageunit,'(A,8I5,1x,1P3E19.11)') |
| 462 |
& ' grad-res ',myprocid,ichknum,ichkmem(ichknum), |
| 463 |
& icompmem(ichknum),itestmem(ichknum), |
| 464 |
& bimem(ichknum),bjmem(ichknum),iobcsmem(ichknum), |
| 465 |
& adxxmemo, gfd, ratio_ad |
| 466 |
#endif |
| 467 |
ENDIF |
| 468 |
#ifdef ALLOW_TANGENTLINEAR_RUN |
| 469 |
WRITE(msgBuf,'(A30,1PE22.14)') |
| 470 |
& ' TLM ref_cost_function =', fcref |
| 471 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 472 |
WRITE(msgBuf,'(A30,1PE22.14)') |
| 473 |
& ' TLM tangent-lin_grad =', ftlxxmemo |
| 474 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 475 |
WRITE(msgBuf,'(A30,1PE22.14)') |
| 476 |
& ' TLM finite-diff_grad =', gfd |
| 477 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 478 |
#else |
| 479 |
WRITE(msgBuf,'(A30,1PE22.14)') |
| 480 |
& ' ADM ref_cost_function =', fcref |
| 481 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 482 |
WRITE(msgBuf,'(A30,1PE22.14)') |
| 483 |
& ' ADM adjoint_gradient =', adxxmemo |
| 484 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 485 |
WRITE(msgBuf,'(A30,1PE22.14)') |
| 486 |
& ' ADM finite-diff_grad =', gfd |
| 487 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 488 |
#endif |
| 489 |
|
| 490 |
WRITE(msgBuf,'(A,I4,A,I3,A)') |
| 491 |
& '====== End of gradient-check number', ichknum, |
| 492 |
& ' (ierr=', ierr, ') =======' |
| 493 |
CALL PRINT_MESSAGE( msgBuf, ioUnit, SQUEEZE_RIGHT, myThid ) |
| 494 |
|
| 495 |
C-- else of if ichknum < ... |
| 496 |
ELSE |
| 497 |
ierr_grdchk = -1 |
| 498 |
|
| 499 |
C-- end of if ichknum < ... |
| 500 |
ENDIF |
| 501 |
|
| 502 |
C-- end of do icomp = ... |
| 503 |
ENDDO |
| 504 |
|
| 505 |
IF (myProcId .EQ. grdchkwhichproc .AND. .NOT.useSingleCpuIO) THEN |
| 506 |
CALL WRITE_REC_XYZ_RL( |
| 507 |
& 'grd_findiff' , tmpplot1, 1, 0, myThid) |
| 508 |
CALL WRITE_REC_XYZ_RL( |
| 509 |
& 'grd_ratio_ad' , tmpplot2, 1, 0, myThid) |
| 510 |
CALL WRITE_REC_XYZ_RL( |
| 511 |
& 'grd_ratio_ftl' , tmpplot3, 1, 0, myThid) |
| 512 |
ENDIF |
| 513 |
|
| 514 |
C-- Print the results of the gradient check. |
| 515 |
CALL GRDCHK_PRINT( ichknum, ierr_grdchk, myThid ) |
| 516 |
|
| 517 |
#endif /* ALLOW_GRDCHK */ |
| 518 |
|
| 519 |
RETURN |
| 520 |
END |
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