C----------------------------------------------------------------------- SUBROUTINE POLATEV0(IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,UI,VI, & NO,RLAT,RLON,CROT,SROT,IBO,LO,UO,VO,IRET) C$$$ SUBPROGRAM DOCUMENTATION BLOCK C C SUBPROGRAM: POLATEV0 INTERPOLATE VECTOR FIELDS (BILINEAR) C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10 C C ABSTRACT: THIS SUBPROGRAM PERFORMS BILINEAR INTERPOLATION C FROM ANY GRID TO ANY GRID FOR VECTOR FIELDS. C OPTIONS ALLOW VARYING THE MINIMUM PERCENTAGE FOR MASK, C I.E. PERCENT VALID INPUT DATA REQUIRED TO MAKE OUTPUT DATA, C (IPOPT(1)) WHICH DEFAULTS TO 50 (IF IPOPT(1)=-1). C ONLY HORIZONTAL INTERPOLATION IS PERFORMED. C THE GRIDS ARE DEFINED BY THEIR GRID DESCRIPTION SECTIONS C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63). C THE CURRENT CODE RECOGNIZES THE FOLLOWING PROJECTIONS: C (KGDS(1)=000) EQUIDISTANT CYLINDRICAL C (KGDS(1)=001) MERCATOR CYLINDRICAL C (KGDS(1)=003) LAMBERT CONFORMAL CONICAL C (KGDS(1)=004) GAUSSIAN CYLINDRICAL (SPECTRAL NATIVE) C (KGDS(1)=005) POLAR STEREOGRAPHIC AZIMUTHAL C (KGDS(1)=202) ROTATED EQUIDISTANT CYLINDRICAL (ETA NATIVE) C WHERE KGDS COULD BE EITHER INPUT KGDSI OR OUTPUT KGDSO. C THE INPUT AND OUTPUT VECTORS ARE ROTATED SO THAT THEY ARE C EITHER RESOLVED RELATIVE TO THE DEFINED GRID C IN THE DIRECTION OF INCREASING X AND Y COORDINATES C OR RESOLVED RELATIVE TO EASTERLY AND NORTHERLY DIRECTIONS, C AS DESIGNATED BY THEIR RESPECTIVE GRID DESCRIPTION SECTIONS. C AS AN ADDED BONUS THE NUMBER OF OUTPUT GRID POINTS C AND THEIR LATITUDES AND LONGITUDES ARE ALSO RETURNED C ALONG WITH THEIR VECTOR ROTATION PARAMETERS. C ON THE OTHER HAND, THE OUTPUT CAN BE A SET OF STATION POINTS C IF KGDSO(1)<0, IN WHICH CASE THE NUMBER OF POINTS C AND THEIR LATITUDES AND LONGITUDES MUST BE INPUT C ALONG WITH THEIR VECTOR ROTATION PARAMETERS. C INPUT BITMAPS WILL BE INTERPOLATED TO OUTPUT BITMAPS. C OUTPUT BITMAPS WILL ALSO BE CREATED WHEN THE OUTPUT GRID C EXTENDS OUTSIDE OF THE DOMAIN OF THE INPUT GRID. C THE OUTPUT FIELD IS SET TO 0 WHERE THE OUTPUT BITMAP IS OFF. C C PROGRAM HISTORY LOG: C 96-04-10 IREDELL C 1999-04-08 IREDELL SPLIT IJKGDS INTO TWO PIECES C 2001-06-18 IREDELL INCLUDE MINIMUM MASK PERCENTAGE OPTION C 2002-01-17 IREDELL SAVE DATA FROM LAST CALL FOR OPTIMIZATION C 2007-05-22 IREDELL EXTRAPOLATE UP TO HALF A GRID CELL C 2007-10-30 IREDELL SAVE WEIGHTS AND THREAD FOR PERFORMANCE C C USAGE: CALL POLATEV0(IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,UI,VI, C & NO,RLAT,RLON,CROT,SROT,IBO,LO,UO,VO,IRET) C C INPUT ARGUMENT LIST: C IPOPT - INTEGER (20) INTERPOLATION OPTIONS C IPOPT(1) IS MINIMUM PERCENTAGE FOR MASK C (DEFAULTS TO 50 IF IPOPT(1)=-1) C KGDSI - INTEGER (200) INPUT GDS PARAMETERS AS DECODED BY W3FI63 C KGDSO - INTEGER (200) OUTPUT GDS PARAMETERS C (KGDSO(1)<0 IMPLIES RANDOM STATION POINTS) C MI - INTEGER SKIP NUMBER BETWEEN INPUT GRID FIELDS IF KM>1 C OR DIMENSION OF INPUT GRID FIELDS IF KM=1 C MO - INTEGER SKIP NUMBER BETWEEN OUTPUT GRID FIELDS IF KM>1 C OR DIMENSION OF OUTPUT GRID FIELDS IF KM=1 C KM - INTEGER NUMBER OF FIELDS TO INTERPOLATE C IBI - INTEGER (KM) INPUT BITMAP FLAGS C LI - LOGICAL*1 (MI,KM) INPUT BITMAPS (IF SOME IBI(K)=1) C UI - REAL (MI,KM) INPUT U-COMPONENT FIELDS TO INTERPOLATE C VI - REAL (MI,KM) INPUT V-COMPONENT FIELDS TO INTERPOLATE C NO - INTEGER NUMBER OF OUTPUT POINTS (ONLY IF KGDSO(1)<0) C RLAT - REAL (NO) OUTPUT LATITUDES IN DEGREES (IF KGDSO(1)<0) C RLON - REAL (NO) OUTPUT LONGITUDES IN DEGREES (IF KGDSO(1)<0) C CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)<0) C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)<0) C (UGRID=CROT*UEARTH-SROT*VEARTH; C VGRID=SROT*UEARTH+CROT*VEARTH) C C OUTPUT ARGUMENT LIST: C NO - INTEGER NUMBER OF OUTPUT POINTS (ONLY IF KGDSO(1)>=0) C RLAT - REAL (MO) OUTPUT LATITUDES IN DEGREES (IF KGDSO(1)>=0) C RLON - REAL (MO) OUTPUT LONGITUDES IN DEGREES (IF KGDSO(1)>=0) C CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)>=0) C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)>=0) C (UGRID=CROT*UEARTH-SROT*VEARTH; C VGRID=SROT*UEARTH+CROT*VEARTH) C IBO - INTEGER (KM) OUTPUT BITMAP FLAGS C LO - LOGICAL*1 (MO,KM) OUTPUT BITMAPS (ALWAYS OUTPUT) C UO - REAL (MO,KM) OUTPUT U-COMPONENT FIELDS INTERPOLATED C VO - REAL (MO,KM) OUTPUT V-COMPONENT FIELDS INTERPOLATED C IRET - INTEGER RETURN CODE C 0 SUCCESSFUL INTERPOLATION C 2 UNRECOGNIZED INPUT GRID OR NO GRID OVERLAP C 3 UNRECOGNIZED OUTPUT GRID C C SUBPROGRAMS CALLED: C GDSWIZ GRID DESCRIPTION SECTION WIZARD C IJKGDS0 SET UP PARAMETERS FOR IJKGDS1 C (IJKGDS1) RETURN FIELD POSITION FOR A GIVEN GRID POINT C (MOVECT) MOVE A VECTOR ALONG A GREAT CIRCLE C POLFIXV MAKE MULTIPLE POLE VECTOR VALUES CONSISTENT C C ATTRIBUTES: C LANGUAGE: FORTRAN 77 C C$$$ IMPLICIT NONE INTEGER,INTENT(IN):: IPOPT(20),KGDSI(200),KGDSO(200),MI,MO,KM INTEGER,INTENT(IN):: IBI(KM) LOGICAL*1,INTENT(IN):: LI(MI,KM) REAL,INTENT(IN):: UI(MI,KM),VI(MI,KM) INTEGER,INTENT(INOUT):: NO REAL,INTENT(INOUT):: RLAT(MO),RLON(MO),CROT(MO),SROT(MO) INTEGER,INTENT(OUT):: IBO(KM) LOGICAL*1,INTENT(OUT):: LO(MO,KM) REAL,INTENT(OUT):: UO(MO,KM),VO(MO,KM) INTEGER,INTENT(OUT):: IRET REAL XPTS(MO),YPTS(MO) INTEGER IJX(2),IJY(2) REAL WX(2),WY(2) INTEGER IJKGDSA(20) REAL,PARAMETER:: FILL=-9999. INTEGER MP,N,I,J,K,NK,NV,IJKGDS1 REAL PMP,XIJ,YIJ,XF,YF,U,V,W,DUM REAL XPTI(MI),YPTI(MI),RLOI(MI),RLAI(MI),CROI(MI),SROI(MI) REAL CM,SM,UROT,VROT INTEGER,SAVE:: KGDSIX(200)=-1,KGDSOX(200)=-1,NOX=-1,IRETX=-1 INTEGER,ALLOCATABLE,SAVE:: NXY(:,:,:) REAL,ALLOCATABLE,SAVE:: RLATX(:),RLONX(:),CROTX(:),SROTX(:) REAL,ALLOCATABLE,SAVE:: WXY(:,:,:),CXY(:,:,:),SXY(:,:,:) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C SET PARAMETERS IRET=0 MP=IPOPT(1) IF(MP.EQ.-1.OR.MP.EQ.0) MP=50 IF(MP.LT.0.OR.MP.GT.100) IRET=32 PMP=MP*0.01 C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C SAVE OR SKIP WEIGHT COMPUTATION IF(IRET.EQ.0.AND.(KGDSO(1).LT.0.OR. & ANY(KGDSI.NE.KGDSIX).OR.ANY(KGDSO.NE.KGDSOX))) THEN C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C COMPUTE NUMBER OF OUTPUT POINTS AND THEIR LATITUDES AND LONGITUDES. IF(KGDSO(1).GE.0) THEN CALL GDSWIZ(KGDSO, 0,MO,FILL,XPTS,YPTS,RLON,RLAT,NO, & 1,CROT,SROT) IF(NO.EQ.0) IRET=3 ENDIF C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C LOCATE INPUT POINTS CALL GDSWIZ(KGDSI,-1,NO,FILL,XPTS,YPTS,RLON,RLAT,NV,0,DUM,DUM) IF(IRET.EQ.0.AND.NV.EQ.0) IRET=2 CALL GDSWIZ(KGDSI, 0,MI,FILL,XPTI,YPTI,RLOI,RLAI,NV,1,CROI,SROI) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C ALLOCATE AND SAVE GRID DATA KGDSIX=KGDSI KGDSOX=KGDSO IF(NOX.NE.NO) THEN IF(NOX.GE.0) DEALLOCATE(RLATX,RLONX,CROTX,SROTX, & NXY,WXY,CXY,SXY) ALLOCATE(RLATX(NO),RLONX(NO),CROTX(NO),SROTX(NO), & NXY(2,2,NO),WXY(2,2,NO),CXY(2,2,NO),SXY(2,2,NO)) NOX=NO ENDIF IRETX=IRET C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C COMPUTE WEIGHTS IF(IRET.EQ.0) THEN CALL IJKGDS0(KGDSI,IJKGDSA) C$OMP PARALLEL DO C$OMP&PRIVATE(N,XIJ,YIJ,IJX,IJY,XF,YF,J,I,WX,WY,CM,SM) DO N=1,NO RLONX(N)=RLON(N) RLATX(N)=RLAT(N) CROTX(N)=CROT(N) SROTX(N)=SROT(N) XIJ=XPTS(N) YIJ=YPTS(N) IF(XIJ.NE.FILL.AND.YIJ.NE.FILL) THEN IJX(1:2)=FLOOR(XIJ)+(/0,1/) IJY(1:2)=FLOOR(YIJ)+(/0,1/) XF=XIJ-IJX(1) YF=YIJ-IJY(1) WX(1)=(1-XF) WX(2)=XF WY(1)=(1-YF) WY(2)=YF DO J=1,2 DO I=1,2 NXY(I,J,N)=IJKGDS1(IJX(I),IJY(J),IJKGDSA) WXY(I,J,N)=WX(I)*WY(J) IF(NXY(I,J,N).GT.0) THEN CALL MOVECT(RLAI(NXY(I,J,N)),RLOI(NXY(I,J,N)), & RLAT(N),RLON(N),CM,SM) CXY(I,J,N)=CM*CROI(NXY(I,J,N))+SM*SROI(NXY(I,J,N)) SXY(I,J,N)=SM*CROI(NXY(I,J,N))-CM*SROI(NXY(I,J,N)) ENDIF ENDDO ENDDO ELSE NXY(:,:,N)=0 ENDIF ENDDO ENDIF ENDIF C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C INTERPOLATE OVER ALL FIELDS IF(IRET.EQ.0.AND.IRETX.EQ.0) THEN IF(KGDSO(1).GE.0) THEN NO=NOX DO N=1,NO RLON(N)=RLONX(N) RLAT(N)=RLATX(N) CROT(N)=CROTX(N) SROT(N)=SROTX(N) ENDDO ENDIF C$OMP PARALLEL DO C$OMP&PRIVATE(NK,K,N,U,V,W,UROT,VROT,J,I) DO NK=1,NO*KM K=(NK-1)/NO+1 N=NK-NO*(K-1) U=0 V=0 W=0 DO J=1,2 DO I=1,2 IF(NXY(I,J,N).GT.0) THEN IF (IBI(K).EQ.0.OR.LI(NXY(I,J,N),K)) THEN UROT=CXY(I,J,N)*UI(NXY(I,J,N),K)- & SXY(I,J,N)*VI(NXY(I,J,N),K) VROT=SXY(I,J,N)*UI(NXY(I,J,N),K)+ & CXY(I,J,N)*VI(NXY(I,J,N),K) U=U+WXY(I,J,N)*UROT V=V+WXY(I,J,N)*VROT W=W+WXY(I,J,N) ENDIF ENDIF ENDDO ENDDO LO(N,K)=W.GE.PMP IF(LO(N,K)) THEN UROT=CROT(N)*U-SROT(N)*V VROT=SROT(N)*U+CROT(N)*V UO(N,K)=UROT/W VO(N,K)=VROT/W ELSE UO(N,K)=0. VO(N,K)=0. ENDIF ENDDO DO K=1,KM IBO(K)=IBI(K) IF(.NOT.ALL(LO(1:NO,K))) IBO(K)=1 ENDDO IF(KGDSO(1).EQ.0) CALL POLFIXV(NO,MO,KM,RLAT,RLON,IBO,LO,UO,VO) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ELSE IF(IRET.EQ.0) IRET=IRETX IF(KGDSO(1).GE.0) NO=0 ENDIF C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - END