C----------------------------------------------------------------------- SUBROUTINE POLATES1(IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,GI, & NO,RLAT,RLON,IBO,LO,GO,IRET) C$$$ SUBPROGRAM DOCUMENTATION BLOCK C C SUBPROGRAM: POLATES1 INTERPOLATE SCALAR FIELDS (BICUBIC) C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10 C C ABSTRACT: THIS SUBPROGRAM PERFORMS BICUBIC INTERPOLATION C FROM ANY GRID TO ANY GRID FOR SCALAR FIELDS. C BITMAPS ARE NOW ALLOWED EVEN WHEN INVALID POINTS ARE WITHIN C THE BICUBIC TEMPLATE PROVIDED THE MINIMUM WEIGHT IS REACHED. 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 16 POINTS. C ANOTHER OPTION IS THE MINIMUM PERCENTAGE FOR MASK, C I.E. PERCENT VALID INPUT DATA REQUIRED TO MAKE OUTPUT DATA, C (IPOPT(2)) WHICH DEFAULTS TO 50 (IF IPOPT(2)=-1). 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 1999-04-08 IREDELL SPLIT IJKGDS INTO TWO PIECES C 2001-06-18 IREDELL INCLUDE MINIMUM MASK PERCENTAGE OPTION C 2007-05-22 IREDELL EXTRAPOLATE UP TO HALF A GRID CELL C 2007-10-30 IREDELL CORRECT NORTH POLE INDEXING PROBLEM, C UNIFY MASKED AND NON-MASKED ALGORITHMS, C AND SAVE WEIGHTS FOR PERFORMANCE. C C USAGE: CALL POLATES1(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)=0 FOR STRAIGHT BICUBIC; C IPOPT(1)=1 FOR CONSTRAINED BICUBIC WHERE VALUE IS C CONFINED WITHIN THE RANGE OF THE SURROUNDING 4 POINTS. C IPOPT(2) IS MINIMUM PERCENTAGE FOR MASK C (DEFAULTS TO 50 IF IPOPT(2)=-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 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*1 (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 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 POLFIXS MAKE MULTIPLE POLE SCALAR 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):: GI(MI,KM) INTEGER,INTENT(INOUT):: NO REAL,INTENT(INOUT):: RLAT(MO),RLON(MO) INTEGER,INTENT(OUT):: IBO(KM) LOGICAL*1,INTENT(OUT):: LO(MO,KM) REAL,INTENT(OUT):: GO(MO,KM) INTEGER,INTENT(OUT):: IRET REAL XPTS(MO),YPTS(MO) INTEGER IJX(4),IJY(4) REAL WX(4),WY(4) INTEGER IJKGDSA(20) REAL,PARAMETER:: FILL=-9999. INTEGER MCON,MP,N,I,J,K,NK,NV,IJKGDS1 REAL PMP,XIJ,YIJ,XF,YF,G,W,DUM,GMIN,GMAX INTEGER,SAVE:: KGDSIX(200)=-1,KGDSOX(200)=-1,NOX=-1,IRETX=-1 INTEGER,ALLOCATABLE,SAVE:: NXY(:,:,:),NC(:) REAL,ALLOCATABLE,SAVE:: RLATX(:),RLONX(:),WXY(:,:,:) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C SET PARAMETERS IRET=0 MCON=IPOPT(1) MP=IPOPT(2) 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,0,DUM,DUM) 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 C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - C ALLOCATE AND SAVE GRID DATA KGDSIX=KGDSI KGDSOX=KGDSO IF(NOX.NE.NO) THEN IF(NOX.GE.0) DEALLOCATE(RLATX,RLONX,NC,NXY,WXY) ALLOCATE(RLATX(NO),RLONX(NO),NC(NO),NXY(4,4,NO),WXY(4,4,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) DO N=1,NO RLONX(N)=RLON(N) RLATX(N)=RLAT(N) XIJ=XPTS(N) YIJ=YPTS(N) IF(XIJ.NE.FILL.AND.YIJ.NE.FILL) THEN IJX(1:4)=FLOOR(XIJ-1)+(/0,1,2,3/) IJY(1:4)=FLOOR(YIJ-1)+(/0,1,2,3/) XF=XIJ-IJX(2) YF=YIJ-IJY(2) DO J=1,4 DO I=1,4 NXY(I,J,N)=IJKGDS1(IJX(I),IJY(J),IJKGDSA) ENDDO ENDDO IF(MINVAL(NXY(1:4,1:4,N)).GT.0) THEN C BICUBIC WHERE 16-POINT STENCIL IS AVAILABLE NC(N)=1 WX(1)=XF*(1-XF)*(2-XF)/(-6.) WX(2)=(XF+1)*(1-XF)*(2-XF)/2. WX(3)=(XF+1)*XF*(2-XF)/2. WX(4)=(XF+1)*XF*(1-XF)/(-6.) WY(1)=YF*(1-YF)*(2-YF)/(-6.) WY(2)=(YF+1)*(1-YF)*(2-YF)/2. WY(3)=(YF+1)*YF*(2-YF)/2. WY(4)=(YF+1)*YF*(1-YF)/(-6.) ELSE C BILINEAR ELSEWHERE NEAR THE EDGE OF THE GRID NC(N)=2 WX(1)=0 WX(2)=(1-XF) WX(3)=XF WX(4)=0 WY(1)=0 WY(2)=(1-YF) WY(3)=YF WY(4)=0 ENDIF DO J=1,4 DO I=1,4 WXY(I,J,N)=WX(I)*WY(J) ENDDO ENDDO ELSE NC(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) ENDDO ENDIF C$OMP PARALLEL DO C$OMP&PRIVATE(NK,K,N,G,W,GMIN,GMAX,J,I) DO NK=1,NO*KM K=(NK-1)/NO+1 N=NK-NO*(K-1) IF(NC(N).GT.0) THEN G=0 W=0 IF(MCON.GT.0) GMIN=HUGE(GMIN) IF(MCON.GT.0) GMAX=-HUGE(GMAX) DO J=NC(N),5-NC(N) DO I=NC(N),5-NC(N) IF(NXY(I,J,N).GT.0) THEN IF (IBI(K).EQ.0.OR.LI(NXY(I,J,N),K)) THEN G=G+WXY(I,J,N)*GI(NXY(I,J,N),K) W=W+WXY(I,J,N) IF(MCON.GT.0) GMIN=MIN(GMIN,GI(NXY(I,J,N),K)) IF(MCON.GT.0) GMAX=MAX(GMAX,GI(NXY(I,J,N),K)) ENDIF ENDIF ENDDO ENDDO LO(N,K)=W.GE.PMP IF(LO(N,K)) THEN GO(N,K)=G/W IF(MCON.GT.0) GO(N,K)=MIN(MAX(GO(N,K),GMIN),GMAX) ELSE GO(N,K)=0. ENDIF ELSE LO(N,K)=.FALSE. GO(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 POLFIXS(NO,MO,KM,RLAT,RLON,IBO,LO,GO) C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ELSE IF(IRET.EQ.0) IRET=IRETX IF(KGDSO(1).GE.0) NO=0 ENDIF C - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - END