C----------------------------------------------------------------------- SUBROUTINE POLATEV3(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: POLATEV3 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 BILINEARLY INTERPOLATED 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(2)=-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 C USAGE: CALL POLATEV3(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(2)=-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 (IJKGDS) 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(IJKGDS,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 XPTI(MI),YPTI(MI),RLOI(MI),RLAI(MI),CROI(MI),SROI(MI) REAL XPTB(MO),YPTB(MO),RLOB(MO),RLAB(MO) INTEGER N11(MO),N21(MO),N12(MO),N22(MO) REAL W11(MO),W21(MO),W12(MO),W22(MO) REAL C11(MO),C21(MO),C12(MO),C22(MO) REAL S11(MO),S21(MO),S12(MO),S22(MO) REAL WO(MO,KM) PARAMETER(FILL=-9999.) 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 CALL GDSWIZ(KGDSI, 0,MI,FILL,XPTI,YPTI,RLOI,RLAI,NV,1,CROI,SROI) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C SET PARAMETERS NB1=IPOPT(1) IF(NB1.EQ.-1) NB1=2 IF(IRET.EQ.0.AND.NB1.LT.0.) IRET=32 IF(IRET.EQ.0.AND.NB1.GE.20.AND.IPOPT(2).NE.-1) IRET=32 IF(IRET.EQ.0) THEN NB2=2*NB1+1 NB3=NB2*NB2 NB4=NB3 IF(IPOPT(2).NE.-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 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(IPOPT(2).NE.-1) WB=IPOPT(2+LB) 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=XI I2=I1+1 WI2=XI-I1 WI1=1-WI2 J1=YI J2=J1+1 WJ2=YI-J1 WJ1=1-WJ2 N11(N)=IJKGDS(I1,J1,KGDSI) N21(N)=IJKGDS(I2,J1,KGDSI) N12(N)=IJKGDS(I1,J2,KGDSI) N22(N)=IJKGDS(I2,J2,KGDSI) IF(MIN(N11(N),N21(N),N12(N),N22(N)).GT.0) THEN W11(N)=WI1*WJ1 W21(N)=WI2*WJ1 W12(N)=WI1*WJ2 W22(N)=WI2*WJ2 CALL MOVECT(RLAI(N11(N)),RLOI(N11(N)),RLAT(N),RLON(N), & CM11,SM11) CALL MOVECT(RLAI(N21(N)),RLOI(N21(N)),RLAT(N),RLON(N), & CM21,SM21) CALL MOVECT(RLAI(N12(N)),RLOI(N12(N)),RLAT(N),RLON(N), & CM12,SM12) CALL MOVECT(RLAI(N22(N)),RLOI(N22(N)),RLAT(N),RLON(N), & CM22,SM22) C11(N)=CM11*CROI(N11(N))+SM11*SROI(N11(N)) S11(N)=SM11*CROI(N11(N))-CM11*SROI(N11(N)) C21(N)=CM21*CROI(N21(N))+SM21*SROI(N21(N)) S21(N)=SM21*CROI(N21(N))-CM21*SROI(N21(N)) C12(N)=CM12*CROI(N12(N))+SM12*SROI(N12(N)) S12(N)=SM12*CROI(N12(N))-CM12*SROI(N12(N)) C22(N)=CM22*CROI(N22(N))+SM22*SROI(N22(N)) S22(N)=SM22*CROI(N22(N))-CM22*SROI(N22(N)) ELSE N11(N)=0 N21(N)=0 N12(N)=0 N22(N)=0 ENDIF ELSE N11(N)=0 N21(N)=0 N12(N)=0 N22(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) 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) U21=C21(N)*UI(N21(N),K)-S21(N)*VI(N21(N),K) V21=S21(N)*UI(N21(N),K)+C21(N)*VI(N21(N),K) U12=C12(N)*UI(N12(N),K)-S12(N)*VI(N12(N),K) V12=S12(N)*UI(N12(N),K)+C12(N)*VI(N12(N),K) U22=C22(N)*UI(N22(N),K)-S22(N)*VI(N22(N),K) V22=S22(N)*UI(N22(N),K)+C22(N)*VI(N22(N),K) UB=W11(N)*U11+W21(N)*U21+W12(N)*U12+W22(N)*U22 VB=W11(N)*V11+W21(N)*V21+W12(N)*V12+W22(N)*V22 UO(N,K)=UO(N,K)+WB*UB VO(N,K)=VO(N,K)+WB*VB WO(N,K)=WO(N,K)+WB ELSE IF(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*W11(N)*U11 VO(N,K)=VO(N,K)+WB*W11(N)*V11 WO(N,K)=WO(N,K)+WB*W11(N) ENDIF IF(LI(N21(N),K)) THEN U21=C21(N)*UI(N21(N),K)-S21(N)*VI(N21(N),K) V21=S21(N)*UI(N21(N),K)+C21(N)*VI(N21(N),K) UO(N,K)=UO(N,K)+WB*W21(N)*U21 VO(N,K)=VO(N,K)+WB*W21(N)*V21 WO(N,K)=WO(N,K)+WB*W21(N) ENDIF IF(LI(N12(N),K)) THEN U12=C12(N)*UI(N12(N),K)-S12(N)*VI(N12(N),K) V12=S12(N)*UI(N12(N),K)+C12(N)*VI(N12(N),K) UO(N,K)=UO(N,K)+WB*W12(N)*U12 VO(N,K)=VO(N,K)+WB*W12(N)*V12 WO(N,K)=WO(N,K)+WB*W12(N) ENDIF IF(LI(N22(N),K)) THEN U22=C22(N)*UI(N22(N),K)-S22(N)*VI(N22(N),K) V22=S22(N)*UI(N22(N),K)+C22(N)*VI(N22(N),K) UO(N,K)=UO(N,K)+WB*W22(N)*U22 VO(N,K)=VO(N,K)+WB*W22(N)*V22 WO(N,K)=WO(N,K)+WB*W22(N) ENDIF ENDIF ENDIF ENDDO ENDDO ENDDO C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - CMIC$ DO ALL AUTOSCOPE DO K=1,KM IBO(K)=IBI(K) DO N=1,NO LO(N,K)=WO(N,K).GE.0.5*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