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C $Header: /u/gcmpack/MITgcm/pkg/exf/exf_interp.F,v 1.37 2017/03/10 00:16:11 jmc Exp $ |
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C $Name: $ |
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|
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#include "EXF_OPTIONS.h" |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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CBOP |
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C !ROUTINE: EXF_INTERP |
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C !INTERFACE: |
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SUBROUTINE EXF_INTERP( |
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I inFile, filePrec, |
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#ifdef EXF_INTERP_USE_DYNALLOC |
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O arrayout, |
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#else |
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O arrayout, arrayin, |
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#endif |
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I irecord, xG_in, yG, |
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I lon_0, lon_inc, lat_0, lat_inc, |
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I nxIn, nyIn, method, myIter, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE EXF_INTERP |
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C | o Load from file a regular lat-lon input field |
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C | and interpolate on to the model grid location |
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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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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 "EXF_INTERP_SIZE.h" |
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#ifdef ALLOW_DEBUG |
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# include "EXF_PARAM.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C inFile (string) :: name of the binary input file (direct access) |
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C filePrec (integer) :: number of bits per word in file (32 or 64) |
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C arrayout ( _RL ) :: output array |
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#ifndef EXF_INTERP_USE_DYNALLOC |
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C arrayin ( _RL ) :: input field array (loaded from file) |
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#endif |
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C irecord (integer) :: record number to read |
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C xG_in,yG :: coordinates for output grid to interpolate to |
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C lon_0, lat_0 :: lon and lat of sw corner of global input grid |
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C lon_inc :: scalar x-grid increment |
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C lat_inc :: vector y-grid increments |
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C nxIn,nyIn (integer) :: size in x & y direction of input file to read |
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C method :: 1,11,21 for bilinear; 2,12,22 for bicubic |
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C :: 1,2 for tracer; 11,12 for U; 21,22 for V |
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C myIter (integer) :: current iteration number |
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C myThid (integer) :: My Thread Id number |
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CHARACTER*(*) inFile |
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INTEGER filePrec, irecord, nxIn, nyIn |
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_RL arrayout(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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#ifndef EXF_INTERP_USE_DYNALLOC |
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_RL arrayin ( -1:nxIn+2, -1:nyIn+2 ) |
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#endif |
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_RS xG_in (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS yG (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RL lon_0, lon_inc |
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c _RL lat_0, lat_inc(nyIn-1) |
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_RL lat_0, lat_inc(*) |
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INTEGER method, myIter, myThid |
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|
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C !FUNCTIONS: |
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#ifdef ALLOW_DEBUG |
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INTEGER ILNBLNK |
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EXTERNAL ILNBLNK |
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#endif |
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|
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C !LOCAL VARIABLES: |
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C x_in :: longitude vector defining input field grid |
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C y_in :: latitude vector defining input field grid |
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C w_ind :: input field longitudinal index, on western side of model grid pt |
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C s_ind :: input field latitudinal index, on southern side of model grid pt |
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C bi, bj :: tile indices |
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C i, j, k, l :: loop indices |
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C msgBuf :: Informational/error message buffer |
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#ifdef EXF_INTERP_USE_DYNALLOC |
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C arrayin :: input field array (loaded from file) |
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_RL arrayin( -1:nxIn+2, -1:nyIn+2 ) |
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_RL x_in(-1:nxIn+2), y_in(-1:nyIn+2) |
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#else /* EXF_INTERP_USE_DYNALLOC */ |
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_RL x_in(-1:exf_max_nLon+2), y_in(-1:exf_max_nLat+2) |
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#endif /* EXF_INTERP_USE_DYNALLOC */ |
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INTEGER w_ind(sNx,sNy), s_ind(sNx,sNy) |
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INTEGER bi, bj |
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INTEGER i, j, k, l |
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INTEGER nLoop |
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_RL tmpVar |
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_RS xG(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS threeSixtyRS |
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_RL yPole, symSign, poleValue |
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_RL edgeFac, poleFac |
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PARAMETER ( threeSixtyRS = 360. ) |
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PARAMETER ( yPole = 90. ) |
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INTEGER nxd2 |
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LOGICAL xIsPeriodic, poleSymmetry |
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#ifdef ALLOW_DEBUG |
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LOGICAL debugFlag |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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_RS prtPole(-1:4) |
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#endif |
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CEOP |
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|
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#ifndef EXF_INTERP_USE_DYNALLOC |
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C-- Check size declaration: |
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IF ( nxIn.GT.exf_max_nLon ) THEN |
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STOP 'EXF_INTERP: exf_max_nLon too small' |
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ENDIF |
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IF ( nyIn.GT.exf_max_nLat ) THEN |
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STOP 'EXF_INTERP: exf_max_nLat too small' |
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ENDIF |
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IF ( (nxIn+4)*(nyIn+4).GT.exf_interp_bufferSize ) THEN |
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STOP 'EXF_INTERP: exf_interp_bufferSize too small' |
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ENDIF |
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#endif /* ndef EXF_INTERP_USE_DYNALLOC */ |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C--- Load inut field |
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|
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CALL EXF_INTERP_READ( |
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I inFile, filePrec, |
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O arrayin, |
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I irecord, nxIn, nyIn, myThid ) |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C--- Prepare input grid and input field |
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|
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C-- setup input longitude grid |
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DO i=-1,nxIn+2 |
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x_in(i) = lon_0 + (i-1)*lon_inc |
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ENDDO |
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xIsPeriodic = nxIn.EQ.NINT( threeSixtyRS / lon_inc ) |
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nxd2 = NINT( nxIn*0.5 ) |
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poleSymmetry = xIsPeriodic .AND. ( nxIn.EQ.2*nxd2 ) |
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#ifdef EXF_USE_OLD_INTERP_POLE |
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poleSymmetry = .FALSE. |
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#endif |
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|
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C-- setup input latitude grid |
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y_in(1) = lat_0 |
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DO j=1,nyIn+1 |
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i = MIN(j,nyIn-1) |
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y_in(j+1) = y_in(j) + lat_inc(i) |
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ENDDO |
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y_in(0) = y_in(1) - lat_inc(1) |
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y_in(-1)= y_in(0) - lat_inc(1) |
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#ifdef ALLOW_DEBUG |
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DO l=-1,4 |
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prtPole(l) = 0. |
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ENDDO |
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#endif |
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C-- For tracer (method=1,2) add 1 row @ the pole (if last row is not) |
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C and will fill it with the polarmost-row zonally averaged value. |
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C For vector component, cannot do much without the other component; |
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C averaging properly done if uvInterp=T in S/R EXF_INTERP_UV |
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#ifdef EXF_USE_OLD_INTERP_POLE |
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IF ( .TRUE. ) THEN |
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#else |
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IF ( method.LT.10 ) THEN |
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C- Add 2 row @ southern end; if one is beyond S.pole, put one @ S.pole |
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j = 0 |
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IF ( ABS(y_in(j+1)).LT.yPole .AND. ABS(y_in(j)).GT.yPole ) THEN |
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y_in(j) = -yPole |
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y_in(j-1) = -2.*yPole - y_in(j+1) |
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#ifdef ALLOW_DEBUG |
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prtPole(j) = 1. |
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prtPole(j-1) = 2. |
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#endif |
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ENDIF |
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j = -1 |
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IF ( ABS(y_in(j+1)).LT.yPole .AND. ABS(y_in(j)).GT.yPole ) THEN |
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y_in(j) = -yPole |
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#ifdef ALLOW_DEBUG |
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prtPole(j) = 1. |
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#endif |
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ENDIF |
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#endif /* EXF_USE_OLD_INTERP_POLE */ |
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C- Add 2 row @ northern end; if one is beyond N.pole, put one @ N.pole |
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j = nyIn+1 |
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IF ( ABS(y_in(j-1)).LT.yPole .AND. ABS(y_in(j)).GT.yPole ) THEN |
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y_in(j) = yPole |
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y_in(j+1) = 2.*yPole - y_in(j-1) |
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#ifdef ALLOW_DEBUG |
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prtPole(3) = 1. |
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prtPole(3+1) = 2. |
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#endif |
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ENDIF |
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j = nyIn+2 |
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IF ( ABS(y_in(j-1)).LT.yPole .AND. ABS(y_in(j)).GT.yPole ) THEN |
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y_in(j) = yPole |
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#ifdef ALLOW_DEBUG |
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prtPole(4) = 1. |
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#endif |
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ENDIF |
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ENDIF |
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|
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C-- Enlarge boundary |
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IF ( xIsPeriodic ) THEN |
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C- fill-in added column assuming periodicity |
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DO j=1,nyIn |
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arrayin( 0,j) = arrayin(nxIn ,j) |
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arrayin(-1,j) = arrayin(nxIn-1,j) |
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arrayin(nxIn+1,j) = arrayin(1,j) |
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arrayin(nxIn+2,j) = arrayin(2,j) |
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ENDDO |
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ELSE |
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C- fill-in added column from nearest column |
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DO j=1,nyIn |
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arrayin( 0,j) = arrayin(1,j) |
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arrayin(-1,j) = arrayin(1,j) |
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arrayin(nxIn+1,j) = arrayin(nxIn,j) |
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arrayin(nxIn+2,j) = arrayin(nxIn,j) |
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ENDDO |
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ENDIF |
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symSign = 1. _d 0 |
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IF ( method.GE.10 ) symSign = -1. _d 0 |
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DO l=-1,2 |
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j = l |
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IF ( l.GE.1 ) j = nyIn+l |
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k = MAX(1,MIN(j,nyIn)) |
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IF ( poleSymmetry .AND. ABS(y_in(j)).GT.yPole ) THEN |
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IF ( nyIn.GE.3 .AND. ABS(y_in(k)).EQ.yPole ) |
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& k = MAX(2,MIN(j,nyIn-1)) |
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C- fill-in added row assuming pole-symmetry |
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DO i=-1,nxd2 |
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arrayin(i,j) = symSign*arrayin(i+nxd2,k) |
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ENDDO |
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DO i=1,nxd2+2 |
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arrayin(i+nxd2,j) = symSign*arrayin(i,k) |
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ENDDO |
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#ifdef ALLOW_DEBUG |
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i = l + 2*( (l+1)/2 ) |
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prtPole(i) = prtPole(i) + 0.2 |
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#endif |
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ELSE |
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C- fill-in added row from nearest column values |
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DO i=-1,nxIn+2 |
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arrayin(i,j) = arrayin(i,k) |
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ENDDO |
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ENDIF |
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ENDDO |
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|
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C-- For tracer (method=1,2) set to northernmost zonal-mean value |
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C at 90N to avoid sharp zonal gradients near the Pole. |
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C For vector component, cannot do much without the other component; |
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C averaging properly done if uvInterp=T in S/R EXF_INTERP_UV |
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#ifdef EXF_USE_OLD_INTERP_POLE |
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IF ( .TRUE. ) THEN |
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DO l= 3,4 |
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#else |
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IF ( method.LT.10 ) THEN |
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DO l=-1,4 |
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#endif |
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j = l |
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IF ( l.GE.2 ) j = nyIn+l-2 |
| 264 |
IF ( ABS(y_in(j)).EQ.yPole ) THEN |
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IF (method.EQ.1 .OR. method.EQ.2) THEN |
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poleValue = 0. |
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DO i=1,nxIn |
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poleValue = poleValue + arrayin(i,j) |
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ENDDO |
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poleValue = poleValue / nxIn |
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DO i=-1,nxIn+2 |
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arrayin(i,j) = poleValue |
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ENDDO |
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#ifdef ALLOW_DEBUG |
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prtPole(l) = prtPole(l) + 0.1 |
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#endif |
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#ifdef EXF_USE_OLD_INTERP_POLE |
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ELSEIF (method.EQ.11 .OR. method.EQ.12) THEN |
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DO i=-1,nxIn+2 |
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arrayin(i,j) = 0. |
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ENDDO |
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#ifdef ALLOW_DEBUG |
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prtPole(l) = prtPole(l) + 0.9 |
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#endif |
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#endif /* EXF_USE_OLD_INTERP_POLE */ |
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ENDIF |
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ENDIF |
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ENDDO |
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ENDIF |
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#ifndef EXF_USE_OLD_INTERP_POLE |
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IF (method.EQ.1 .OR. method.EQ.2) THEN |
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C- change first additional row from simple copy to linear interpolation |
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C between nearest column values and pole value |
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DO l=0,1 |
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k = l*(nyIn+3) -1 |
| 296 |
IF ( ABS(y_in(k)).EQ.yPole ) THEN |
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j = l*(nyIn+1) |
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i = l*(nyIn-1) +1 |
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edgeFac = (y_in(j) - y_in(k)) / (y_in(i) - y_in(k)) |
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poleFac = (y_in(i) - y_in(j)) / (y_in(i) - y_in(k)) |
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DO i=-1,nxIn+2 |
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arrayin(i,j) = arrayin(i,j) * edgeFac |
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& + arrayin(i,k) * poleFac |
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ENDDO |
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#ifdef ALLOW_DEBUG |
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prtPole(3*l) = prtPole(3*l) + 0.3 |
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#endif |
| 308 |
ENDIF |
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ENDDO |
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ENDIF |
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#endif /* EXF_USE_OLD_INTERP_POLE */ |
| 312 |
|
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#ifdef ALLOW_DEBUG |
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debugFlag = ( exf_debugLev.GE.debLevC ) |
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& .OR. ( exf_debugLev.GE.debLevB .AND. myIter.LE.nIter0 ) |
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C prtPole(l)=0 : extended, =1 : changed to pole, =2 : changed to symetric |
| 317 |
IF ( debugFlag ) THEN |
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l = ILNBLNK(inFile) |
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_BEGIN_MASTER(myThid) |
| 320 |
WRITE(msgBuf,'(3A,I6,A,2L5)') |
| 321 |
& ' EXF_INTERP: file="',inFile(1:l),'", rec=', irecord, |
| 322 |
& ' , x-Per,P.Sym=', xIsPeriodic, poleSymmetry |
| 323 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 324 |
& SQUEEZE_RIGHT, myThid ) |
| 325 |
WRITE(msgBuf,'(2A,3F4.1,A,3F12.6)') ' S.edge (j=-1,0,1) :', |
| 326 |
& ' proc=', (prtPole(j),j=-1,1), ', yIn=', (y_in(j),j=-1,1) |
| 327 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 328 |
& SQUEEZE_RIGHT, myThid ) |
| 329 |
WRITE(msgBuf,'(2A,3F4.1,A,3F12.6)') ' N.edge (j=+0,+1,+2)', |
| 330 |
& ' proc=', (prtPole(j),j=2,4), ', yIn=',(y_in(j),j=nyIn,nyIn+2) |
| 331 |
CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
| 332 |
& SQUEEZE_RIGHT, myThid ) |
| 333 |
_END_MASTER(myThid) |
| 334 |
ENDIF |
| 335 |
#endif /* ALLOW_DEBUG */ |
| 336 |
|
| 337 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 338 |
C--- Prepare output grid and interpolate for each tile |
| 339 |
|
| 340 |
C-- put xG in interval [ lon_0 , lon_0+360 [ |
| 341 |
DO bj=myByLo(myThid),myByHi(myThid) |
| 342 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 343 |
DO j=1-OLy,sNy+OLy |
| 344 |
DO i=1-OLx,sNx+OLx |
| 345 |
xG(i,j,bi,bj) = xG_in(i,j,bi,bj)-lon_0 |
| 346 |
& + threeSixtyRS*2. |
| 347 |
xG(i,j,bi,bj) = lon_0+MOD(xG(i,j,bi,bj),threeSixtyRS) |
| 348 |
ENDDO |
| 349 |
ENDDO |
| 350 |
#ifdef ALLOW_DEBUG |
| 351 |
C-- Check validity of input/output coordinates |
| 352 |
IF ( debugFlag ) THEN |
| 353 |
DO j=1,sNy |
| 354 |
DO i=1,sNx |
| 355 |
IF ( xG(i,j,bi,bj) .LT. x_in(0) .OR. |
| 356 |
& xG(i,j,bi,bj) .GE. x_in(nxIn+1) .OR. |
| 357 |
& yG(i,j,bi,bj) .LT. y_in(0) .OR. |
| 358 |
& yG(i,j,bi,bj) .GE. y_in(nyIn+1) ) THEN |
| 359 |
l = ILNBLNK(inFile) |
| 360 |
WRITE(msgBuf,'(3A,I6)') |
| 361 |
& 'EXF_INTERP: file="', inFile(1:l), '", rec=', irecord |
| 362 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 363 |
WRITE(msgBuf,'(A)') |
| 364 |
& 'EXF_INTERP: input grid must encompass output grid.' |
| 365 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 366 |
WRITE(msgBuf,'(A,2I8,2I6,A,1P2E14.6)') 'i,j,bi,bj=', |
| 367 |
& i,j,bi,bj, ' , xG,yG=', xG(i,j,bi,bj), yG(i,j,bi,bj) |
| 368 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 369 |
WRITE(msgBuf,'(A,I9,A,1P2E14.6)') 'nxIn=', nxIn, |
| 370 |
& ' , x_in(0,nxIn+1)=', x_in(0) ,x_in(nxIn+1) |
| 371 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 372 |
WRITE(msgBuf,'(A,I9,A,1P2E14.6)') 'nyIn=', nyIn, |
| 373 |
& ' , y_in(0,nyIn+1)=', y_in(0) ,y_in(nyIn+1) |
| 374 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 375 |
STOP 'ABNORMAL END: S/R EXF_INTERP' |
| 376 |
ENDIF |
| 377 |
ENDDO |
| 378 |
ENDDO |
| 379 |
ENDIF |
| 380 |
#endif /* ALLOW_DEBUG */ |
| 381 |
ENDDO |
| 382 |
ENDDO |
| 383 |
|
| 384 |
DO bj = myByLo(myThid), myByHi(myThid) |
| 385 |
DO bi = myBxLo(myThid), myBxHi(myThid) |
| 386 |
|
| 387 |
C-- Compute interpolation lon & lat index mapping |
| 388 |
C-- latitude index |
| 389 |
DO j=1,sNy |
| 390 |
DO i=1,sNx |
| 391 |
s_ind(i,j) = 0 |
| 392 |
w_ind(i,j) = nyIn+1 |
| 393 |
ENDDO |
| 394 |
ENDDO |
| 395 |
C # of pts = nyIn+2 ; # of interval = nyIn+1 ; evaluate nLoop as |
| 396 |
C 1 + truncated log2(# interval -1); add epsil=1.e-3 for safey |
| 397 |
tmpVar = nyIn + 1. _d -3 |
| 398 |
nLoop = 1 + INT( LOG(tmpVar)/LOG(2. _d 0) ) |
| 399 |
DO l=1,nLoop |
| 400 |
DO j=1,sNy |
| 401 |
DO i=1,sNx |
| 402 |
IF ( w_ind(i,j).GT.s_ind(i,j)+1 ) THEN |
| 403 |
k = NINT( (s_ind(i,j)+w_ind(i,j))*0.5 ) |
| 404 |
IF ( yG(i,j,bi,bj) .LT. y_in(k) ) THEN |
| 405 |
w_ind(i,j) = k |
| 406 |
ELSE |
| 407 |
s_ind(i,j) = k |
| 408 |
ENDIF |
| 409 |
ENDIF |
| 410 |
ENDDO |
| 411 |
ENDDO |
| 412 |
ENDDO |
| 413 |
#ifdef ALLOW_DEBUG |
| 414 |
IF ( debugFlag ) THEN |
| 415 |
C- Check that we found the right lat. index |
| 416 |
DO j=1,sNy |
| 417 |
DO i=1,sNx |
| 418 |
IF ( w_ind(i,j).NE.s_ind(i,j)+1 ) THEN |
| 419 |
l = ILNBLNK(inFile) |
| 420 |
WRITE(msgBuf,'(3A,I4,A,I4)') |
| 421 |
& 'EXF_INTERP: file="', inFile(1:l), '", rec=', irecord, |
| 422 |
& ', nLoop=', nLoop |
| 423 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 424 |
WRITE(msgBuf,'(A)') |
| 425 |
& 'EXF_INTERP: did not find Latitude index for grid-pt:' |
| 426 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 427 |
WRITE(msgBuf,'(A,2I8,2I6,A,1PE16.8)') |
| 428 |
& 'EXF_INTERP: i,j,bi,bj=',i,j,bi,bj,' , yG=',yG(i,j,bi,bj) |
| 429 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 430 |
WRITE(msgBuf,'(A,I8,A,1PE16.8)') |
| 431 |
& 'EXF_INTERP: s_ind=',s_ind(i,j),', lat=',y_in(s_ind(i,j)) |
| 432 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 433 |
WRITE(msgBuf,'(A,I8,A,1PE16.8)') |
| 434 |
& 'EXF_INTERP: n_ind=',w_ind(i,j),', lat=',y_in(w_ind(i,j)) |
| 435 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 436 |
STOP 'ABNORMAL END: S/R EXF_INTERP' |
| 437 |
ENDIF |
| 438 |
ENDDO |
| 439 |
ENDDO |
| 440 |
ENDIF |
| 441 |
#endif /* ALLOW_DEBUG */ |
| 442 |
C-- longitude index |
| 443 |
DO j=1,sNy |
| 444 |
DO i=1,sNx |
| 445 |
w_ind(i,j) = INT((xG(i,j,bi,bj)-x_in(-1))/lon_inc) - 1 |
| 446 |
ENDDO |
| 447 |
ENDDO |
| 448 |
|
| 449 |
C-- Do interpolation using lon & lat index mapping |
| 450 |
CALL EXF_INTERPOLATE( |
| 451 |
I inFile, irecord, method, |
| 452 |
I nxIn, nyIn, x_in, y_in, |
| 453 |
I arrayin, |
| 454 |
O arrayout, |
| 455 |
I xG, yG, |
| 456 |
I w_ind, s_ind, |
| 457 |
I bi, bj, myThid ) |
| 458 |
|
| 459 |
ENDDO |
| 460 |
ENDDO |
| 461 |
|
| 462 |
RETURN |
| 463 |
END |
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