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C $Header: /u/gcmpack/MITgcm/pkg/exf/exf_interp.F,v 1.28 2012/01/01 15:25:23 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-- File exf_interp.F: Routines to interpolate input field on to model grid |
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C-- Contents |
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C-- o S/R EXF_INTERPOLATE |
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C-- o FCT LAGRAN |
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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: LAGRAN |
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C !INTERFACE: |
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_RL FUNCTION LAGRAN(i,x,a,sp) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | FUNCTION LAGRAN |
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C | o Provide linear (sp=2) and cubic (sp=4) interpolation |
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C | weight as lagrange polynomial coefficient. |
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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 !INPUT/OUTPUT PARAMETERS: |
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INTEGER i |
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_RS x |
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_RL a(4) |
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INTEGER sp |
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|
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C !LOCAL VARIABLES: |
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INTEGER k |
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_RL numer,denom |
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|
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numer = 1. _d 0 |
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denom = 1. _d 0 |
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|
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#ifdef TARGET_NEC_SX |
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!CDIR UNROLL=8 |
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#endif /* TARGET_NEC_SX */ |
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DO k=1,sp |
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IF ( k .NE. i) THEN |
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denom = denom*(a(i) - a(k)) |
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numer = numer*(x - a(k)) |
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ENDIF |
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ENDDO |
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|
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LAGRAN = numer/denom |
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|
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RETURN |
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END |
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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_INTERPOLATE |
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C !INTERFACE: |
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SUBROUTINE EXF_INTERPOLATE( |
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I inFile, irecord, method, |
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I nxIn, nyIn, x_in, y_in, |
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I arrayin, |
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O arrayout, |
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I xG, yG, |
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I w_ind, s_ind, |
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I bi, bj, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE EXF_INTERPOLATE |
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C | o Interpolate a regular lat-lon input field |
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C | 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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|
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C !INPUT/OUTPUT PARAMETERS: |
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C inFile :: name of the binary input file (direct access) |
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C irecord :: record number in input file |
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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 nxIn,nyIn :: size in x & y direction of input field |
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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 arrayin :: input field array (loaded from file) |
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C arrayout :: output array |
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C xG, yG :: coordinates for output grid to interpolate to |
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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 myThid :: My Thread Id number |
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|
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CHARACTER*(*) inFile |
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INTEGER irecord, method |
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INTEGER nxIn, nyIn |
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_RL x_in(-1:nxIn+2), y_in(-1:nyIn+2) |
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_RL arrayin( -1:nxIn+2, -1:nyIn+2 ) |
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_RL arrayout(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
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_RS xG (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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INTEGER w_ind(sNx,sNy), s_ind(sNx,sNy) |
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INTEGER bi, bj, myThid |
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|
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C !FUNCTIONS: |
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EXTERNAL LAGRAN |
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_RL LAGRAN |
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INTEGER ILNBLNK |
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EXTERNAL ILNBLNK |
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|
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C !LOCAL VARIABLES: |
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C px_ind :: local copy of longitude position around current model grid pt |
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C py_ind :: local copy of latitude position around current model grid pt |
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C ew_val :: intermediate field value after interpolation in East-West dir. |
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C sp :: number of input-field values used in 1.d interpolation |
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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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_RL px_ind(4), py_ind(4), ew_val(4) |
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INTEGER sp |
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INTEGER i, j, k, l |
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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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#ifdef TARGET_NEC_SX |
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_RL ew_val1, ew_val2, ew_val3, ew_val4 |
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#endif |
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CEOP |
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|
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IF (method.EQ.1 .OR. method.EQ.11 .OR. method.EQ.21) THEN |
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|
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C-- Bilinear interpolation |
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sp = 2 |
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DO j=1,sNy |
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DO i=1,sNx |
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arrayout(i,j,bi,bj) = 0. |
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DO l=0,1 |
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px_ind(l+1) = x_in(w_ind(i,j)+l) |
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py_ind(l+1) = y_in(s_ind(i,j)+l) |
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ENDDO |
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#ifndef TARGET_NEC_SX |
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DO k=1,2 |
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ew_val(k) = arrayin(w_ind(i,j) ,s_ind(i,j)+k-1) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j)+k-1) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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arrayout(i,j,bi,bj) = arrayout(i,j,bi,bj) |
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& + ew_val(k)*LAGRAN(k,yG(i,j,bi,bj),py_ind,sp) |
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ENDDO |
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#else |
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ew_val1 = arrayin(w_ind(i,j) ,s_ind(i,j) ) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j) ) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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ew_val2 = arrayin(w_ind(i,j) ,s_ind(i,j)+1) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j)+1) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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arrayout(i,j,bi,bj)= |
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& +ew_val1*LAGRAN(1,yG(i,j,bi,bj),py_ind,sp) |
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& +ew_val2*LAGRAN(2,yG(i,j,bi,bj),py_ind,sp) |
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#endif /* TARGET_NEC_SX defined */ |
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ENDDO |
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ENDDO |
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ELSEIF (method .EQ. 2 .OR. method.EQ.12 .OR. method.EQ.22) THEN |
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|
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C-- Bicubic interpolation |
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sp = 4 |
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DO j=1,sNy |
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DO i=1,sNx |
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arrayout(i,j,bi,bj) = 0. |
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DO l=-1,2 |
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px_ind(l+2) = x_in(w_ind(i,j)+l) |
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py_ind(l+2) = y_in(s_ind(i,j)+l) |
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ENDDO |
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#ifndef TARGET_NEC_SX |
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DO k=1,4 |
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ew_val(k) = arrayin(w_ind(i,j)-1,s_ind(i,j)+k-2) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j) ,s_ind(i,j)+k-2) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j)+k-2) |
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& *LAGRAN(3,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+2,s_ind(i,j)+k-2) |
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& *LAGRAN(4,xG(i,j,bi,bj),px_ind,sp) |
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arrayout(i,j,bi,bj) = arrayout(i,j,bi,bj) |
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& + ew_val(k)*LAGRAN(k,yG(i,j,bi,bj),py_ind,sp) |
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ENDDO |
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#else |
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ew_val1 = arrayin(w_ind(i,j)-1,s_ind(i,j)-1) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j) ,s_ind(i,j)-1) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j)-1) |
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& *LAGRAN(3,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+2,s_ind(i,j)-1) |
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& *LAGRAN(4,xG(i,j,bi,bj),px_ind,sp) |
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ew_val2 = arrayin(w_ind(i,j)-1,s_ind(i,j) ) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j) ,s_ind(i,j) ) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j) ) |
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& *LAGRAN(3,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+2,s_ind(i,j) ) |
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& *LAGRAN(4,xG(i,j,bi,bj),px_ind,sp) |
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ew_val3 = arrayin(w_ind(i,j)-1,s_ind(i,j)+1) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j) ,s_ind(i,j)+1) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j)+1) |
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& *LAGRAN(3,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+2,s_ind(i,j)+1) |
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& *LAGRAN(4,xG(i,j,bi,bj),px_ind,sp) |
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ew_val4 = arrayin(w_ind(i,j)-1,s_ind(i,j)+2) |
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& *LAGRAN(1,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j) ,s_ind(i,j)+2) |
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& *LAGRAN(2,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+1,s_ind(i,j)+2) |
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& *LAGRAN(3,xG(i,j,bi,bj),px_ind,sp) |
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& + arrayin(w_ind(i,j)+2,s_ind(i,j)+2) |
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& *LAGRAN(4,xG(i,j,bi,bj),px_ind,sp) |
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arrayout(i,j,bi,bj) = |
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& ew_val1*LAGRAN(1,yG(i,j,bi,bj),py_ind,sp) |
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& +ew_val2*LAGRAN(2,yG(i,j,bi,bj),py_ind,sp) |
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& +ew_val3*LAGRAN(3,yG(i,j,bi,bj),py_ind,sp) |
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& +ew_val4*LAGRAN(4,yG(i,j,bi,bj),py_ind,sp) |
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#endif /* TARGET_NEC_SX defined */ |
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ENDDO |
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ENDDO |
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ELSE |
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l = ILNBLNK(inFile) |
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WRITE(msgBuf,'(3A,I6)') |
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& 'EXF_INTERPOLATE: file="', inFile(1:l), '", rec=', irecord |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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WRITE(msgBuf,'(A,I8,A)') |
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& 'EXF_INTERPOLATE: method=', method,' not supported' |
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CALL PRINT_ERROR( msgBuf, myThid ) |
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STOP 'ABNORMAL END: S/R EXF_INTERPOLATE: invalid method' |
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ENDIF |
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|
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RETURN |
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END |
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