SUBROUTINE POLATEV4(IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,UI,VI, & NO,RLAT,RLON,CROT,SROT,IBO,LO,UO,VO,IRET) !$$$ SUBPROGRAM DOCUMENTATION BLOCK ! ! $Revision: 71314 $ ! ! SUBPROGRAM: POLATEV4 INTERPOLATE VECTOR FIELDS (SPECTRAL) ! PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10 ! ! ABSTRACT: THIS SUBPROGRAM PERFORMS SPECTRAL INTERPOLATION ! FROM ANY GRID TO ANY GRID FOR VECTOR FIELDS. ! IT REQUIRES THAT THE INPUT FIELDS BE UNIFORMLY GLOBAL. ! OPTIONS ALLOW CHOICES BETWEEN TRIANGULAR SHAPE (IPOPT(1)=0) ! AND RHOMBOIDAL SHAPE (IPOPT(1)=1) WHICH HAS NO DEFAULT; ! A SECOND OPTION IS THE TRUNCATION (IPOPT(2)) WHICH DEFAULTS ! TO A SENSIBLE TRUNCATION FOR THE INPUT GRID (IF OPT(2)=-1). ! NOTE THAT IF THE OUTPUT GRID IS NOT FOUND IN A SPECIAL LIST, ! THEN THE TRANSFORM BACK TO GRID IS NOT VERY FAST. ! THIS SPECIAL LIST CONTAINS GLOBAL CYLINDRICAL GRIDS, ! POLAR STEREOGRAPHIC GRIDS CENTERED AT THE POLE ! AND MERCATOR GRIDS. ! ONLY HORIZONTAL INTERPOLATION IS PERFORMED. ! THE GRIDS ARE DEFINED BY THEIR GRID DESCRIPTION SECTIONS ! (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63). ! THE CURRENT CODE RECOGNIZES THE FOLLOWING PROJECTIONS: ! (KGDS(1)=000) EQUIDISTANT CYLINDRICAL ! (KGDS(1)=001) MERCATOR CYLINDRICAL ! (KGDS(1)=003) LAMBERT CONFORMAL CONICAL ! (KGDS(1)=004) GAUSSIAN CYLINDRICAL (SPECTRAL NATIVE) ! (KGDS(1)=005) POLAR STEREOGRAPHIC AZIMUTHAL ! (KGDS(1)=203) ROTATED EQUIDISTANT CYLINDRICAL (E-STAGGER) ! (KGDS(1)=205) ROTATED EQUIDISTANT CYLINDRICAL (B-STAGGER) ! WHERE KGDS COULD BE EITHER INPUT KGDSI OR OUTPUT KGDSO. ! THE INPUT AND OUTPUT VECTORS ARE ROTATED SO THAT THEY ARE ! EITHER RESOLVED RELATIVE TO THE DEFINED GRID ! IN THE DIRECTION OF INCREASING X AND Y COORDINATES ! OR RESOLVED RELATIVE TO EASTERLY AND NORTHERLY DIRECTIONS, ! AS DESIGNATED BY THEIR RESPECTIVE GRID DESCRIPTION SECTIONS. ! AS AN ADDED BONUS THE NUMBER OF OUTPUT GRID POINTS ! AND THEIR LATITUDES AND LONGITUDES ARE ALSO RETURNED ! ALONG WITH THEIR VECTOR ROTATION PARAMETERS. ! ON THE OTHER HAND, THE OUTPUT CAN BE A SET OF STATION POINTS ! IF KGDSO(1)<0, IN WHICH CASE THE NUMBER OF POINTS ! AND THEIR LATITUDES AND LONGITUDES MUST BE INPUT ! ALONG WITH THEIR VECTOR ROTATION PARAMETERS. ! OUTPUT BITMAPS WILL ONLY BE CREATED WHEN THE OUTPUT GRID ! EXTENDS OUTSIDE OF THE DOMAIN OF THE INPUT GRID. ! THE OUTPUT FIELD IS SET TO 0 WHERE THE OUTPUT BITMAP IS OFF. ! ! PROGRAM HISTORY LOG: ! 96-04-10 IREDELL ! 2001-06-18 IREDELL IMPROVE DETECTION OF SPECIAL FAST TRANSFORM ! 2015-01-27 GAYNO REPLACE CALLS TO GDSWIZ WITH NEW MERGED ! ROUTINE GDSWZD. ! ! USAGE: CALL POLATEV4(IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,UI,VI, ! & NO,RLAT,RLON,CROT,SROT,IBO,LO,UO,VO,IRET) ! ! INPUT ARGUMENT LIST: ! IPOPT - INTEGER (20) INTERPOLATION OPTIONS ! IPOPT(1)=0 FOR TRIANGULAR, IPOPT(1)=1 FOR RHOMBOIDAL; ! IPOPT(2) IS TRUNCATION NUMBER ! (DEFAULTS TO SENSIBLE IF IPOPT(2)=-1). ! KGDSI - INTEGER (200) INPUT GDS PARAMETERS AS DECODED BY W3FI63 ! KGDSO - INTEGER (200) OUTPUT GDS PARAMETERS ! (KGDSO(1)<0 IMPLIES RANDOM STATION POINTS) ! MI - INTEGER SKIP NUMBER BETWEEN INPUT GRID FIELDS IF KM>1 ! OR DIMENSION OF INPUT GRID FIELDS IF KM=1 ! MO - INTEGER SKIP NUMBER BETWEEN OUTPUT GRID FIELDS IF KM>1 ! OR DIMENSION OF OUTPUT GRID FIELDS IF KM=1 ! KM - INTEGER NUMBER OF FIELDS TO INTERPOLATE ! IBI - INTEGER (KM) INPUT BITMAP FLAGS (MUST BE ALL 0) ! LI - LOGICAL*1 (MI,KM) INPUT BITMAPS (IF SOME IBI(K)=1) ! UI - REAL (MI,KM) INPUT U-COMPONENT FIELDS TO INTERPOLATE ! VI - REAL (MI,KM) INPUT V-COMPONENT FIELDS TO INTERPOLATE ! NO - INTEGER NUMBER OF OUTPUT POINTS (ONLY IF KGDSO(1)<0) ! RLAT - REAL (NO) OUTPUT LATITUDES IN DEGREES (IF KGDSO(1)<0) ! RLON - REAL (NO) OUTPUT LONGITUDES IN DEGREES (IF KGDSO(1)<0) ! CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)<0) ! SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)<0) ! (UGRID=CROT*UEARTH-SROT*VEARTH; ! VGRID=SROT*UEARTH+CROT*VEARTH) ! ! OUTPUT ARGUMENT LIST: ! NO - INTEGER NUMBER OF OUTPUT POINTS (ONLY IF KGDSO(1)>=0) ! RLAT - REAL (MO) OUTPUT LATITUDES IN DEGREES (IF KGDSO(1)>=0) ! RLON - REAL (MO) OUTPUT LONGITUDES IN DEGREES (IF KGDSO(1)>=0) ! CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)>=0) ! SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)>=0) ! (UGRID=CROT*UEARTH-SROT*VEARTH; ! VGRID=SROT*UEARTH+CROT*VEARTH) ! IBO - INTEGER (KM) OUTPUT BITMAP FLAGS ! LO - LOGICAL*1 (MO,KM) OUTPUT BITMAPS (ALWAYS OUTPUT) ! UO - REAL (MO,KM) OUTPUT U-COMPONENT FIELDS INTERPOLATED ! VO - REAL (MO,KM) OUTPUT V-COMPONENT FIELDS INTERPOLATED ! IRET - INTEGER RETURN CODE ! 0 SUCCESSFUL INTERPOLATION ! 2 UNRECOGNIZED INPUT GRID OR NO GRID OVERLAP ! 3 UNRECOGNIZED OUTPUT GRID ! 41 INVALID NONGLOBAL INPUT GRID ! 42 INVALID SPECTRAL METHOD PARAMETERS ! ! SUBPROGRAMS CALLED: ! GDSWZD GRID DESCRIPTION SECTION WIZARD ! SPTRUNV SPECTRALLY TRUNCATE GRIDDED VECTOR FIELDS ! SPTRUNSV SPECTRALLY INTERPOLATE VECTORS TO POLAR STEREO. ! SPTRUNMV SPECTRALLY INTERPOLATE VECTORS TO MERCATOR ! SPTRUNGV SPECTRALLY INTERPOLATE VECTORS TO STATIONS ! ! ATTRIBUTES: ! LANGUAGE: FORTRAN 90 ! !$$$ ! USE GDSWZD_MOD ! IMPLICIT NONE ! INTEGER, INTENT(IN ) :: IPOPT(20), IBI(KM) INTEGER, INTENT(IN ) :: KM, MI, MO INTEGER, INTENT( OUT) :: IRET, IBO(KM) INTEGER, INTENT(INOUT) :: KGDSI(200),KGDSO(200) ! LOGICAL*1, INTENT(IN ) :: LI(MI,KM) LOGICAL*1, INTENT( OUT) :: LO(MO,KM) ! REAL, INTENT(IN ) :: UI(MI,KM),VI(MI,KM) REAL, INTENT( OUT) :: UO(MO,KM),VO(MO,KM) REAL, INTENT(INOUT) :: RLAT(MO),RLON(MO) REAL, INTENT( OUT) :: CROT(MO),SROT(MO) ! REAL, PARAMETER :: FILL=-9999. REAL, PARAMETER :: RERTH=6.3712E6 REAL, PARAMETER :: PI=3.14159265358979 REAL, PARAMETER :: DPR=180./PI ! INTEGER :: IDRTO, IROMB, ISKIPI, ISPEC INTEGER :: IDRTI, IMAXI, JMAXI, IM, JM INTEGER :: IPRIME, IG, IMO, JMO, IGO, JGO INTEGER :: ISCAN, JSCAN, NSCAN INTEGER :: ISCANO, JSCANO, NSCANO INTEGER :: IP, IPROJ, JSKIPI, JG INTEGER :: K, MAXWV, N, NI, NJ, NO, NPS ! REAL :: DLAT, DLON, DLATO, DLONO, DE, DR, DY REAL :: DUM, H, HI, HJ REAL :: ORIENT REAL :: RLAT1, RLON1, RLAT2, RLON2, RLATI REAL :: UROT, VROT, UO2(MO,KM),VO2(MO,KM) REAL :: XMESH, X, XP, YP, XPTS(MO),YPTS(MO) ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ! COMPUTE NUMBER OF OUTPUT POINTS AND THEIR LATITUDES AND LONGITUDES. IRET=0 IF(KGDSO(1).GE.0) THEN CALL GDSWZD(KGDSO, 0,MO,FILL,XPTS,YPTS,RLON,RLAT,NO,CROT,SROT) IF(NO.EQ.0) IRET=3 ENDIF ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ! AFFIRM APPROPRIATE INPUT GRID ! LAT/LON OR GAUSSIAN ! NO BITMAPS ! FULL ZONAL COVERAGE ! FULL MERIDIONAL COVERAGE IDRTI=KGDSI(1) IM=KGDSI(2) JM=KGDSI(3) RLON1=KGDSI(5)*1.E-3 RLON2=KGDSI(8)*1.E-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.4) IRET=41 DO K=1,KM IF(IBI(K).NE.0) IRET=41 ENDDO IF(IRET.EQ.0) THEN IF(ISCAN.EQ.0) THEN DLON=(MOD(RLON2-RLON1-1+3600,360.)+1)/(IM-1) ELSE DLON=-(MOD(RLON1-RLON2-1+3600,360.)+1)/(IM-1) ENDIF IG=NINT(360/ABS(DLON)) IPRIME=1+MOD(-NINT(RLON1/DLON)+IG,IG) IMAXI=IG JMAXI=JM IF(MOD(IG,2).NE.0.OR.IM.LT.IG) IRET=41 ENDIF IF(IRET.EQ.0.AND.IDRTI.EQ.0) THEN RLAT1=KGDSI(4)*1.E-3 RLAT2=KGDSI(7)*1.E-3 DLAT=(RLAT2-RLAT1)/(JM-1) JG=NINT(180/ABS(DLAT)) IF(JM.EQ.JG) IDRTI=256 IF(JM.NE.JG.AND.JM.NE.JG+1) IRET=41 ELSEIF(IRET.EQ.0.AND.IDRTI.EQ.4) THEN JG=KGDSI(10)*2 IF(JM.NE.JG) IRET=41 ENDIF ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ! SET PARAMETERS IF(IRET.EQ.0) THEN IROMB=IPOPT(1) MAXWV=IPOPT(2) IF(MAXWV.EQ.-1) THEN IF(IROMB.EQ.0.AND.IDRTI.EQ.4) MAXWV=(JMAXI-1) IF(IROMB.EQ.1.AND.IDRTI.EQ.4) MAXWV=(JMAXI-1)/2 IF(IROMB.EQ.0.AND.IDRTI.EQ.0) MAXWV=(JMAXI-3)/2 IF(IROMB.EQ.1.AND.IDRTI.EQ.0) MAXWV=(JMAXI-3)/4 IF(IROMB.EQ.0.AND.IDRTI.EQ.256) MAXWV=(JMAXI-1)/2 IF(IROMB.EQ.1.AND.IDRTI.EQ.256) MAXWV=(JMAXI-1)/4 ENDIF IF((IROMB.NE.0.AND.IROMB.NE.1).OR.MAXWV.LT.0) IRET=42 ENDIF ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ! INTERPOLATE IF(IRET.EQ.0) THEN IF(NSCAN.EQ.0) THEN ISKIPI=1 JSKIPI=IM ELSE ISKIPI=JM JSKIPI=1 ENDIF IF(ISCAN.EQ.1) ISKIPI=-ISKIPI IF(JSCAN.EQ.0) JSKIPI=-JSKIPI ISPEC=0 ! SPECIAL CASE OF GLOBAL CYLINDRICAL GRID IF((KGDSO(1).EQ.0.OR.KGDSO(1).EQ.4).AND. & MOD(KGDSO(2),2).EQ.0.AND.KGDSO(5).EQ.0.AND. & KGDSO(11).EQ.0) THEN IDRTO=KGDSO(1) IMO=KGDSO(2) JMO=KGDSO(3) RLON2=KGDSO(8)*1.E-3 DLONO=(MOD(RLON2-1+3600,360.)+1)/(IMO-1) IGO=NINT(360/ABS(DLONO)) IF(IMO.EQ.IGO.AND.IDRTO.EQ.0) THEN RLAT1=KGDSO(4)*1.E-3 RLAT2=KGDSO(7)*1.E-3 DLAT=(RLAT2-RLAT1)/(JMO-1) JGO=NINT(180/ABS(DLAT)) IF(JMO.EQ.JGO) IDRTO=256 IF(JMO.EQ.JGO.OR.JMO.EQ.JGO+1) ISPEC=1 ELSEIF(IMO.EQ.IGO.AND.IDRTO.EQ.4) THEN JGO=KGDSO(10)*2 IF(JMO.EQ.JGO) ISPEC=1 ENDIF IF(ISPEC.EQ.1) THEN ! CALL SPTRUNV(IROMB,MAXWV,IDRTI,IMAXI,JMAXI,IDRTO,IMO,JMO, & ! KM,IPRIME,ISKIPI,JSKIPI,MI,0,0,MO,0,UI,VI, & ! .TRUE.,UO,VO,.FALSE.,DUM,DUM,.FALSE.,DUM,DUM) ENDIF ! SPECIAL CASE OF POLAR STEREOGRAPHIC GRID ELSEIF(KGDSO(1).EQ.5.AND. & KGDSO(2).EQ.KGDSO(3).AND.MOD(KGDSO(2),2).EQ.1.AND. & KGDSO(8).EQ.KGDSO(9).AND.KGDSO(11).EQ.64.AND. & MOD(KGDSO(6)/8,2).EQ.1) THEN NPS=KGDSO(2) RLAT1=KGDSO(4)*1.E-3 RLON1=KGDSO(5)*1.E-3 ORIENT=KGDSO(7)*1.E-3 XMESH=KGDSO(8) IPROJ=MOD(KGDSO(10)/128,2) IP=(NPS+1)/2 H=(-1.)**IPROJ DE=(1.+SIN(60./DPR))*RERTH DR=DE*COS(RLAT1/DPR)/(1+H*SIN(RLAT1/DPR)) XP=1-H*SIN((RLON1-ORIENT)/DPR)*DR/XMESH YP=1+COS((RLON1-ORIENT)/DPR)*DR/XMESH IF(NINT(XP).EQ.IP.AND.NINT(YP).EQ.IP) THEN IF(IPROJ.EQ.0) THEN ! CALL SPTRUNSV(IROMB,MAXWV,IDRTI,IMAXI,JMAXI,KM,NPS, & ! IPRIME,ISKIPI,JSKIPI,MI,MO,0,0,0, & ! 60.,XMESH,ORIENT,UI,VI,.TRUE.,UO,VO,UO2,VO2, & ! .FALSE.,DUM,DUM,DUM,DUM, & ! .FALSE.,DUM,DUM,DUM,DUM) ELSE ! CALL SPTRUNSV(IROMB,MAXWV,IDRTI,IMAXI,JMAXI,KM,NPS, & ! IPRIME,ISKIPI,JSKIPI,MI,MO,0,0,0, & ! 60.,XMESH,ORIENT,UI,VI,.TRUE.,UO2,VO2,UO,VO, & ! .FALSE.,DUM,DUM,DUM,DUM, & ! .FALSE.,DUM,DUM,DUM,DUM) ENDIF ISPEC=1 ENDIF ! SPECIAL CASE OF MERCATOR GRID ELSEIF(KGDSO(1).EQ.1) THEN NI=KGDSO(2) NJ=KGDSO(3) RLAT1=KGDSO(4)*1.E-3 RLON1=KGDSO(5)*1.E-3 RLON2=KGDSO(8)*1.E-3 RLATI=KGDSO(9)*1.E-3 ISCANO=MOD(KGDSO(11)/128,2) JSCANO=MOD(KGDSO(11)/64,2) NSCANO=MOD(KGDSO(11)/32,2) DY=KGDSO(13) HI=(-1.)**ISCANO HJ=(-1.)**(1-JSCANO) DLONO=HI*(MOD(HI*(RLON2-RLON1)-1+3600,360.)+1)/(NI-1) DLATO=HJ*DY/(RERTH*COS(RLATI/DPR))*DPR IF(NSCANO.EQ.0) THEN ! CALL SPTRUNMV(IROMB,MAXWV,IDRTI,IMAXI,JMAXI,KM,NI,NJ, & ! IPRIME,ISKIPI,JSKIPI,MI,MO,0,0,0, & ! RLAT1,RLON1,DLATO,DLONO,UI,VI, & ! .TRUE.,UO,VO,.FALSE.,DUM,DUM,.FALSE.,DUM,DUM) ISPEC=1 ENDIF ENDIF ! GENERAL SLOW CASE IF(ISPEC.EQ.0) THEN ! CALL SPTRUNGV(IROMB,MAXWV,IDRTI,IMAXI,JMAXI,KM,NO, & ! IPRIME,ISKIPI,JSKIPI,MI,MO,0,0,0,RLAT,RLON, & ! UI,VI,.TRUE.,UO,VO,.FALSE.,X,X,.FALSE.,X,X) DO K=1,KM IBO(K)=0 DO N=1,NO LO(N,K)=.TRUE. 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 ENDDO ENDDO ENDIF ELSE DO K=1,KM IBO(K)=1 DO N=1,NO LO(N,K)=.FALSE. UO(N,K)=0. VO(N,K)=0. ENDDO ENDDO ENDIF ! - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - END SUBROUTINE POLATEV4