C----------------------------------------------------------------------- SUBROUTINE POLATEV6(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: POLATEV6 INTERPOLATE VECTOR FIELDS (BUDGET) C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10 C C ABSTRACT: THIS SUBPROGRAM PERFORMS BUDGET INTERPOLATION C FROM ANY GRID TO ANY GRID FOR VECTOR FIELDS. C IT REQUIRES A GRID FOR THE OUTPUT FIELDS (KGDSO(1)>=0). C THE ALGORITHM SIMPLY COMPUTES (WEIGHTED) AVERAGES C OF NEIGHBOR POINTS ARRANGED IN A SQUARE BOX C CENTERED AROUND EACH OUTPUT GRID POINT AND STRETCHING C NEARLY HALFWAY TO EACH OF THE NEIGHBORING GRID POINTS. C OPTIONS ALLOW CHOICES OF NUMBER OF POINTS IN EACH RADIUS C FROM THE CENTER POINT (IPOPT(1)) WHICH DEFAULTS TO 2 C (IF IPOPT(1)=-1) MEANING THAT 25 POINTS WILL BE AVERAGED; C FURTHER OPTIONS ARE THE RESPECTIVE WEIGHTS FOR THE RADIUS C POINTS STARTING AT THE CENTER POINT (IPOPT(2:2+IPOPT(1)) C WHICH DEFAULTS TO ALL 1 (IF IPOPT(1)=-1 OR IPOPT(2)=-1). C ANOTHER OPTION IS THE MINIMUM PERCENTAGE FOR MASK, C I.E. PERCENT VALID INPUT DATA REQUIRED TO MAKE OUTPUT DATA, C (IPOPT(3+IPOPT(1)) WHICH DEFAULTS TO 50 (IF -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 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 C USAGE: CALL POLATEV6(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 NUMBER OF RADIUS POINTS C (DEFAULTS TO 2 IF IPOPT(1)=-1); C IPOPT(2:2+IPOPT(1)) ARE RESPECTIVE WEIGHTS C (DEFAULTS TO ALL 1 IF IPOPT(1)=-1 OR IPOPT(2)=-1). C IPOPT(3+IPOPT(1)) IS MINIMUM PERCENTAGE FOR MASK C (DEFAULTS TO 50 IF IPOPT(3+IPOPT(1)=-1) C KGDSI - INTEGER (200) INPUT GDS PARAMETERS AS DECODED BY W3FI63 C KGDSO - INTEGER (200) OUTPUT GDS PARAMETERS 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 C OUTPUT ARGUMENT LIST: C NO - INTEGER NUMBER OF OUTPUT POINTS C RLAT - REAL (MO) OUTPUT LATITUDES IN DEGREES C RLON - REAL (MO) OUTPUT LONGITUDES IN DEGREES C CROT - REAL (NO) VECTOR ROTATION COSINES C SROT - REAL (NO) VECTOR ROTATION SINES 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 31 INVALID UNDEFINED OUTPUT GRID C 32 INVALID BUDGET METHOD PARAMETERS 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$$$ CFPP$ EXPAND(IJKGDS1,MOVECT) INTEGER IPOPT(20) INTEGER KGDSI(200),KGDSO(200) INTEGER IBI(KM),IBO(KM) LOGICAL*1 LI(MI,KM),LO(MO,KM) REAL UI(MI,KM),VI(MI,KM),UO(MO,KM),VO(MO,KM) REAL RLAT(MO),RLON(MO) REAL CROT(MO),SROT(MO) REAL XPTS(MO),YPTS(MO) REAL XPTB(MO),YPTB(MO),RLOB(MO),RLAB(MO) INTEGER N11(MO) REAL C11(MO),S11(MO) REAL WO(MO,KM) INTEGER IJKGDSA(20) PARAMETER(FILL=-9999.) INTEGER,SAVE:: MIX=-1,KGDSIX(200)=-1 REAL,ALLOCATABLE,SAVE:: XPTI(:),YPTI(:),RLOI(:),RLAI(:), & CROI(:),SROI(:) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C COMPUTE NUMBER OF OUTPUT POINTS AND THEIR LATITUDES AND LONGITUDES. IRET=0 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 ELSE IRET=31 ENDIF IF(ANY(KGDSI.NE.KGDSIX)) THEN IF(MIX.NE.MI) THEN IF(MIX.GE.0) DEALLOCATE(XPTI,YPTI,RLOI,RLAI,CROI,SROI) ALLOCATE(XPTI(MI),YPTI(MI),RLOI(MI),RLAI(MI), & CROI(MI),SROI(MI)) MIX=MI ENDIF CALL GDSWIZ(KGDSI, 0,MI,FILL,XPTI,YPTI,RLOI,RLAI,NV,1,CROI,SROI) KGDSIX=KGDSI ENDIF C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C SET PARAMETERS NB1=IPOPT(1) IF(NB1.EQ.-1) NB1=2 IF(IRET.EQ.0.AND.NB1.LT.0) IRET=32 LSW=1 IF(IPOPT(1).EQ.-1.OR.IPOPT(2).EQ.-1) LSW=0 IF(IRET.EQ.0.AND.LSW.EQ.1.AND.NB1.GT.15) IRET=32 MP=IPOPT(3+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 IF(IRET.EQ.0) THEN NB2=2*NB1+1 NB3=NB2*NB2 NB4=NB3 IF(LSW.EQ.1) THEN NB4=IPOPT(2) DO IB=1,NB1 NB4=NB4+8*IB*IPOPT(2+IB) ENDDO ENDIF ELSE NB2=0 NB3=0 NB4=0 ENDIF CMIC$ DO ALL AUTOSCOPE DO K=1,KM DO N=1,NO UO(N,K)=0 VO(N,K)=0 WO(N,K)=0. ENDDO ENDDO C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C LOOP OVER SAMPLE POINTS IN OUTPUT GRID BOX CALL IJKGDS0(KGDSI,IJKGDSA) DO NB=1,NB3 C LOCATE INPUT POINTS AND COMPUTE THEIR WEIGHTS AND ROTATIONS JB=(NB-1)/NB2-NB1 IB=NB-(JB+NB1)*NB2-NB1-1 LB=MAX(ABS(IB),ABS(JB)) WB=1 IF(LSW.EQ.1) WB=IPOPT(2+LB) IF(WB.NE.0) THEN DO N=1,NO XPTB(N)=XPTS(N)+IB/REAL(NB2) YPTB(N)=YPTS(N)+JB/REAL(NB2) ENDDO CALL GDSWIZ(KGDSO, 1,NO,FILL,XPTB,YPTB,RLOB,RLAB,NV,0,DUM,DUM) CALL GDSWIZ(KGDSI,-1,NO,FILL,XPTB,YPTB,RLOB,RLAB,NV,0,DUM,DUM) IF(IRET.EQ.0.AND.NV.EQ.0.AND.LB.EQ.0) IRET=2 DO N=1,NO XI=XPTB(N) YI=YPTB(N) IF(XI.NE.FILL.AND.YI.NE.FILL) THEN I1=NINT(XI) J1=NINT(YI) N11(N)=IJKGDS1(I1,J1,IJKGDSA) IF(N11(N).GT.0) THEN CALL MOVECT(RLAI(N11(N)),RLOI(N11(N)),RLAT(N),RLON(N), & CM11,SM11) C11(N)=CM11*CROI(N11(N))+SM11*SROI(N11(N)) S11(N)=SM11*CROI(N11(N))-CM11*SROI(N11(N)) ENDIF ELSE N11(N)=0 ENDIF ENDDO C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C INTERPOLATE WITH OR WITHOUT BITMAPS CMIC$ DO ALL AUTOSCOPE DO K=1,KM DO N=1,NO IF(N11(N).GT.0) THEN IF(IBI(K).EQ.0.OR.LI(N11(N),K)) THEN U11=C11(N)*UI(N11(N),K)-S11(N)*VI(N11(N),K) V11=S11(N)*UI(N11(N),K)+C11(N)*VI(N11(N),K) UO(N,K)=UO(N,K)+WB*U11 VO(N,K)=VO(N,K)+WB*V11 WO(N,K)=WO(N,K)+WB ENDIF ENDIF ENDDO ENDDO ENDIF ENDDO C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C COMPUTE OUTPUT BITMAPS AND FIELDS CMIC$ DO ALL AUTOSCOPE DO K=1,KM IBO(K)=IBI(K) DO N=1,NO LO(N,K)=WO(N,K).GE.PMP*NB4 IF(LO(N,K)) THEN UO(N,K)=UO(N,K)/WO(N,K) VO(N,K)=VO(N,K)/WO(N,K) UROT=CROT(N)*UO(N,K)-SROT(N)*VO(N,K) VROT=SROT(N)*UO(N,K)+CROT(N)*VO(N,K) UO(N,K)=UROT VO(N,K)=VROT ELSE IBO(K)=1 UO(N,K)=0. VO(N,K)=0. ENDIF ENDDO ENDDO IF(KGDSO(1).EQ.0) CALL POLFIXV(NO,MO,KM,RLAT,RLON,IBO,LO,UO,VO) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - END