C----------------------------------------------------------------------- SUBROUTINE POLATES5(IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,GI, & NO,RLAT,RLON,IBO,LO,GO,IRET) C$$$ SUBPROGRAM DOCUMENTATION BLOCK C C SUBPROGRAM: POLATES5 INTERPOLATE SCALAR FIELDS (FILTERED) C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10 C C ABSTRACT: THIS SUBPROGRAM PERFORMS FILTERED INTERPOLATION C FROM ANY GRID TO ANY GRID FOR SCALAR FIELDS. C IT REQUIRES THAT NO INPUT FIELDS HAVE BITMAPS (IBI=0). C OPTIONS ALLOW CHOICES BETWEEN STRAIGHT BICUBIC (IPOPT(1)=0) C AND CONSTRAINED BICUBIC (IPOPT(1)=1) WHERE THE VALUE IS C CONFINED WITHIN THE RANGE OF THE SURROUNDING 4 POINTS. C BILINEAR USED WITHIN ONE GRID LENGTH OF BOUNDARIES. 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 AS AN ADDED BONUS THE NUMBER OF OUTPUT GRID POINTS C AND THEIR LATITUDES AND LONGITUDES ARE ALSO RETURNED. 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 OUTPUT BITMAPS WILL ONLY 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 POLATES5(IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,GI, C & NO,RLAT,RLON,IBO,LO,GO,IRET) C C INPUT ARGUMENT LIST: C IPOPT - INTEGER (20) INTERPOLATION OPTIONS C IPOPT(1) IS FILTER TYPE. C IPOPT(1)=0 FOR BUTTERWORTH FILTER; C IPOPT(1)=1 FOR RATIONAL GAUSSIAN FILTER. C IPOPT(2) IS ORDER OF FILTER. C AS ORDER APPROACHES INFINITY, C BUTTERWORTH APPROACHES PURE SPECTRAL TRUNCATION AND C RATIONAL GAUSSIAN APPROACHES PURE GAUSSIAN.) C IPOPT(3) IS GEOMETRY TYPE. C IPOPT(3)=0 FOR SAME GEOMETRY AS INPUT GRID; C IPOPT(3)=1 FOR SPHERICAL; C (INPUT GRID MUST BE CYLINDRICAL) C IPOPT(3)=2 FOR SAME GEOMETRY AS OUTPUT GRID. C (INPUT GRID MUST BE CYLINDRICAL AND OUTPUT GRID C MUST BE MERCATOR, STEREOGRAPHIC OR LAMBERT) C IPOPT(4) IS CHARACTERISTIC FILTER SCALE IN METERS. C IPOPT(4)=0 FOR SAME SCALE AS OUTPUT GRID. C IPOPT(5) IS RESERVED FOR VECTOR INTERPOLATION OPTIONS. C IPOPT(6) IS INTERPOLATION TYPE. C IPOPT(6)=0 FOR BILINEAR; C IPOPT(6)=1 FOR BICUBIC. C IPOPT(7) IS MONOTONIC CONSTRAINT. C IPOPT(7)=0 FOR NO CONSTRAINT; C IPOPT(7)=1 FOR WITHIN RANGE OF SURROUNDING 4 POINTS; C IPOPT(7)=2 FOR WITHIN TOTAL RANGE OF INPUT FIELD. C KGDSI - INTEGER (22) INPUT GDS PARAMETERS AS DECODED BY W3FI63 C KGDSO - INTEGER (22) OUTPUT GDS PARAMETERS AS DECODED BY W3FI63 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 (MUST BE ALL 0) C LI - LOGICAL (MI,KM) INPUT BITMAPS (IF RESPECTIVE IBI(K)=1) C GI - REAL (MI,KM) INPUT 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 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 IBO - INTEGER (KM) OUTPUT BITMAP FLAGS C LO - LOGICAL (MO,KM) OUTPUT BITMAPS (ALWAYS OUTPUT) C GO - REAL (MO,KM) OUTPUT 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 51 INVALID GRIDS C 52 INVALID INTERPOLATION OPTIONS C C SUBPROGRAMS CALLED: C GDSWIZ GRID DESCRIPTION SECTION WIZARD C (IJKGDS) RETURN FIELD POSITION FOR A GIVEN GRID POINT C POLFIXS MAKE MULTIPLE POLE SCALAR VALUES CONSISTENT C C ATTRIBUTES: C LANGUAGE: FORTRAN 77 C C$$$ CFPP$ EXPAND(IJKGDS) INTEGER IPOPT(20) INTEGER KGDSI(22),KGDSO(22) INTEGER IBI(KM),IBO(KM) LOGICAL LI(MI,KM),LO(MO,KM) REAL GI(MI,KM),GO(MO,KM) REAL RLAT(MO),RLON(MO) REAL XPTS(MO),YPTS(MO) INTEGER N11(MO),N21(MO),N12(MO),N22(MO) REAL W11(MO),W21(MO),W12(MO),W22(MO) REAL XPTI(MI),YPTI(MI),RLAI(MI),RLOI(MI) REAL YF(MI),GF(MI,KM) PARAMETER(FILL=-9999.) PARAMETER(RERTH=6.3712E6) PARAMETER(PI=3.14159265358979,DPR=180./PI) 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,0,DUM,DUM) IF(NO.EQ.0) IRET=3 ENDIF DO K=1,KM IF(IBI(K).NE.0) IRET=51 ENDDO IDRTO=KGDSO(1) IDRTI=KGDSI(1) NX=KGDSI(2) NY=KGDSI(3) ISCAN=MOD(KGDSI(11)/128,2) JSCAN=MOD(KGDSI(11)/64,2) NSCAN=MOD(KGDSI(11)/32,2) IF(IDRTI.NE.0.AND.IDRTI.NE.1.AND.IDRTI.NE.3.AND.IDRTI.NE.4.AND. & IDRTI.NE.5) IRET=51 IF(NSCAN.EQ.1) IRET=51 C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - IF(IRET.EQ.0) THEN CALL GDSWIZ(KGDSI, 0,MI,FILL,XPTI,YPTI,RLOI,RLAI,NI,0,DUM,DUM) MODEX=0 IF(IJKGDS(-1,1,KGDSI).GT.0) MODEX=1 MODEE=0 IF(IPOPT(3).EQ.0) THEN MODEC1=0 MODEC2=0 MODEB1=0 MODEB2=0 MODEG=0 IF(IDRTI.EQ.0.OR.IDRTI.EQ.1.OR.IDRTI.EQ.4) THEN RLAT1=KGDSI(4)*1.E-3 RLON1=KGDSI(5)*1.E-3 RLAT2=KGDSI(7)*1.E-3 RLON2=KGDSI(8)*1.E-3 IF(ISCAN.EQ.0) THEN XB=ABS(MOD(RLON2-RLON1-1+3600,360.)+1)/DPR ELSE XB=ABS(MOD(RLON1-RLON2-1+3600,360.)+1)/DPR ENDIF YB1=RLAT1/DPR YB2=RLAT2/DPR ELSE DX=KGDSI(8) DY=KGDSI(9) XB=(NX-1)*DX/RERTH YB1=-(NY-1)*DY/RERTH/2 YB2=+(NY-1)*DY/RERTH/2 ENDIF ELSEIF(IPOPT(3).EQ.1) THEN IF(IDRTI.EQ.0.OR.IDRTI.EQ.1.OR.IDRTI.EQ.4) THEN RLAT1=KGDSI(4)*1.E-3 RLON1=KGDSI(5)*1.E-3 RLAT2=KGDSI(7)*1.E-3 RLON2=KGDSI(8)*1.E-3 MODEC1=1 MODEC2=1 MODEB1=0 IF(ABS(RLAT1).GE.89.9995) MODEB1=1 MODEB2=0 IF(ABS(RLAT2).GE.89.9995) MODEB2=1 MODEG=1 IF(ISCAN.EQ.0) THEN XB=ABS(MOD(RLON2-RLON1-1+3600,360.)+1)/DPR ELSE XB=ABS(MOD(RLON1-RLON2-1+3600,360.)+1)/DPR ENDIF YB1=RLAT1/DPR YB2=RLAT2/DPR IY=0 DO N=1,NI IF(XPTI(N).EQ.1) THEN IY=IY+1 YF(IY)=YPTI(NO)/DPR ENDIF ENDDO ELSE IRET=52 ENDIF ELSEIF(IPOPT(3).EQ.2) THEN IF((IDRTI.EQ.0.OR.IDRTI.EQ.1.OR.IDRTI.EQ.4).AND. & (IDRTO.EQ.1.OR.IDRTO.EQ.3.OR.IDRTO.EQ.5)) THEN RLAT1=KGDSI(4)*1.E-3 RLON1=KGDSI(5)*1.E-3 RLAT2=KGDSI(7)*1.E-3 RLON2=KGDSI(8)*1.E-3 MODEB1=0 IF(ABS(RLAT1).GE.89.9995) MODEB1=1 MODEB2=0 IF(ABS(RLAT2).GE.89.9995) MODEB2=1 MODEG=1 IF(ISCAN.EQ.0) THEN XB=ABS(MOD(RLON2-RLON1-1+3600,360.)+1)/DPR ELSE XB=ABS(MOD(RLON1-RLON2-1+3600,360.)+1)/DPR ENDIF YB1=RLAT1/DPR YB2=RLAT2/DPR IY=0 DO N=1,NI IF(XPTI(N).EQ.1) THEN IY=IY+1 YF(IY)=YPTI(NO)/DPR ENDIF ENDDO IF(IDRTO.EQ.1) THEN MODEC1=0 MODEC2=0 DO IY=1,NY IF(YF(IY).GE.89.9995/DPR) THEN YF(IY)=1.E20 ELSEIF(YF(IY).LE.-89.9995/DPR) THEN YF(IY)=-1.E20 ELSE YF(IY)=LOG(TAN(PI/4-YF(IY)/2)) ENDIF ENDDO ELSEIF(IDRTO.EQ.3) THEN IPROJ=MOD(KGDSO(10)/128,2) RLATI1=KGDSO(12)*1.E-3 RLATI2=KGDSO(13)*1.E-3 H=(-1.)**IPROJ IF(H*(RLAT1-RLAT2).GT.0) THEN MODEC1=1 MODEC2=0 ELSE MODEC1=0 MODEC2=1 ENDIF IF(RLATI1.EQ.RLATI2) THEN AN=SIN(H*RLATI1/DPR) ELSE AN=LOG(COS(RLATI1/DPR)/COS(RLATI2/DPR))/ & LOG(TAN((H*RLATI1+90)/2/DPR)/ & TAN((H*RLATI2+90)/2/DPR)) ENDIF DO IY=1,NY IF(YF(IY).GE.89.9995/DPR) THEN YF(IY)=1.E20*IPROJ ELSEIF(YF(IY).LE.-89.9995/DPR) THEN YF(IY)=1.E20*(1-IPROJ) ELSE YF(IY)=TAN(PI/4-H*YF(IY)/2)**AN ENDIF ENDDO ELSEIF(IDRTO.EQ.5) THEN IPROJ=MOD(KGDSO(10)/128,2) H=(-1.)**IPROJ IF(H*(RLAT1-RLAT2).GT.0) THEN MODEC1=1 MODEC2=0 ELSE MODEC1=0 MODEC2=1 ENDIF DO IY=1,NY IF(YF(IY).GE.89.9995/DPR) THEN YF(IY)=1.E20*IPROJ ELSEIF(YF(IY).LE.-89.9995/DPR) THEN YF(IY)=1.E20*(1-IPROJ) ELSE YF(IY)=TAN(PI/4-H*YF(IY)/2) ENDIF ENDDO ENDIF ELSE IRET=52 ENDIF ENDIF MODES=1 MODEF=IPOPT(1) MODEP=0 MODER=0 NDEG=IPOPT(2) NORDH=0 NYA=NY HWL=IPOPT(4)/RERTH IF(IPOPT(4).EQ.0) THEN IF(IDRTI.EQ.0.OR.IDRTI.EQ.1.OR.IDRTI.EQ.4) THEN HWL=RERTH*ABS(KGDSO(4)-KGDSO(7))*1.E-3/DPR/KGDSO(3) ELSE HWL=KGDSO(9) ENDIF ENDIF CALL QFPAR(MODEX,MODEE,MODEC1,MODEC2,MODEB1,MODEB2,MODEG,MODES, & MODEF,MODEP,MODER,NX,NY,NY,NDEG,NORDH,XB,YB1,YB2, & NQ,NQ3,NNNNQ,N,NW,NWAB,NJAB,NWORK,NB,NV) NTM1=MAX(NWORK,NB,NV) GF=GI CALL IPS51(MODEX,MODEE,MODEC1,MODEC2,MODEB1,MODEB2,MODEG,MODES, & MODEF,MODEP,MODER,NX,NY,NY,NDEG,NORDH,XB,YB1,YB2, & NQ,NQ3,NNNNQ,N,NW,NWAB,NJAB,NWORK,NB,NV, & NTM1,YF,HWL,MI,KM,GF) C INTERPOLATE GF TO GO HERE ENDIF END SUBROUTINE IPS51(MODEX,MODEE,MODEC1,MODEC2, & MODEB1,MODEB2,MODEG,MODES, & MODEF,MODEP,MODER,NX,NY,NYA,NDEG,NORDH, & XB,YB1,YB2, & NQ,NQ3,NNNNQ,N,NW,NWAB,NJAB,NWORK,NB,NV, & NTM1,Y,HWL,JM,KM,G) REAL Y(NY),G(JM,KM) REAL RTAU(NY),RTAUI(NY),FF(NNNNQ),W(NW),WAB(NWAB),TM1(NTM1) INTEGER NQC(NQ),JUMBLE(N),JAB(NJAB) CALL INFPAR(MODEX,MODEE,MODEC1,MODEC2,MODEB1,MODEB2,MODEG,MODES, & MODEF,MODEP,MODER,NX,NY,NYA,NDEG,NORDH,XB,YB1,YB2,Y, & HWL,RTAU,RTAUI,FF,NQC,NQ,NXU,NH,W,JUMBLE,WAB,JAB,TM1) DO K=1,KM CALL BRF(G,RTAU,RTAUI,FF, & NX,NXU,NH,NY,NQC,NQ,WAB,JAB,W,JUMBLE,TM1) ENDDO END