SUBROUTINE W3FB11(ALAT,ELON,ALAT1,ELON1,DX,ELONV,ALATAN,XI,XJ) C$$$ SUBPROGRAM DOCUMENTATION BLOCK C C SUBPROGRAM: W3FB11 LAT/LON TO LAMBERT(I,J) FOR GRIB C PRGMMR: STACKPOLE ORG: NMC42 DATE:88-11-28 C C ABSTRACT: CONVERTS THE COORDINATES OF A LOCATION ON EARTH GIVEN IN C THE NATURAL COORDINATE SYSTEM OF LATITUDE/LONGITUDE TO A GRID C COORDINATE SYSTEM OVERLAID ON A LAMBERT CONFORMAL TANGENT CONE C PROJECTION TRUE AT A GIVEN N OR S LATITUDE. W3FB11 IS THE REVERSE C OF W3FB12. USES GRIB SPECIFICATION OF THE LOCATION OF THE GRID C C PROGRAM HISTORY LOG: C 88-11-25 ORIGINAL AUTHOR: STACKPOLE, W/NMC42 C 90-04-12 R.E.JONES CONVERT TO CFT77 FORTRAN C 94-04-28 R.E.JONES ADD SAVE STATEMENT C C USAGE: CALL W3FB11 (ALAT,ELON,ALAT1,ELON1,DX,ELONV,ALATAN,XI,XJ) C INPUT ARGUMENT LIST: C ALAT - LATITUDE IN DEGREES (NEGATIVE IN SOUTHERN HEMIS) C ELON - EAST LONGITUDE IN DEGREES, REAL*4 C ALAT1 - LATITUDE OF LOWER LEFT POINT OF GRID (POINT (1,1)) C ELON1 - LONGITUDE OF LOWER LEFT POINT OF GRID (POINT (1,1)) C ALL REAL*4 C DX - MESH LENGTH OF GRID IN METERS AT TANGENT LATITUDE C ELONV - THE ORIENTATION OF THE GRID. I.E., C THE EAST LONGITUDE VALUE OF THE VERTICAL MERIDIAN C WHICH IS PARALLEL TO THE Y-AXIS (OR COLUMNS OF C OF THE GRID) ALONG WHICH LATITUDE INCREASES AS C THE Y-COORDINATE INCREASES. REAL*4 C THIS IS ALSO THE MERIDIAN (ON THE BACK SIDE OF THE C TANGENT CONE) ALONG WHICH THE CUT IS MADE TO LAY C THE CONE FLAT. C ALATAN - THE LATITUDE AT WHICH THE LAMBERT CONE IS TANGENT TO C (TOUCHING) THE SPHERICAL EARTH. C SET NEGATIVE TO INDICATE A C SOUTHERN HEMISPHERE PROJECTION. C C OUTPUT ARGUMENT LIST: C XI - I COORDINATE OF THE POINT SPECIFIED BY ALAT, ELON C XJ - J COORDINATE OF THE POINT; BOTH REAL*4 C C REMARKS: FORMULAE AND NOTATION LOOSELY BASED ON HOKE, HAYES, C AND RENNINGER'S "MAP PROJECTIONS AND GRID SYSTEMS...", MARCH 1981 C AFGWC/TN-79/003 C C ATTRIBUTES: C LANGUAGE: CRAY CFT77 FORTRAN C MACHINE: CRAY C916-128, CRAY Y-MP8/864, CRAY Y-MP EL2/256 C C$$$ C SAVE C DATA RERTH /6.3712E+6/, PI/3.14159/ C C PRELIMINARY VARIABLES AND REDIFINITIONS C C H = 1 FOR NORTHERN HEMISPHERE; = -1 FOR SOUTHERN C IF (ALATAN.GT.0) THEN H = 1. ELSE H = -1. ENDIF C RADPD = PI / 180.0 REBYDX = RERTH / DX ALATN1 = ALATAN * RADPD AN = H * SIN(ALATN1) COSLTN = COS(ALATN1) C C MAKE SURE THAT INPUT LONGITUDES DO NOT PASS THROUGH C THE CUT ZONE (FORBIDDEN TERRITORY) OF THE FLAT MAP C AS MEASURED FROM THE VERTICAL (REFERENCE) LONGITUDE. C ELON1L = ELON1 IF ((ELON1 - ELONV).GT.180.) & ELON1L = ELON1 - 360. IF ((ELON1 - ELONV).LT.(-180.)) & ELON1L = ELON1 + 360. C ELONL = ELON IF ((ELON - ELONV).GT.180.) & ELONL = ELON - 360. IF ((ELON - ELONV).LT.(-180.)) & ELONL = ELON + 360. C ELONVR = ELONV * RADPD C C RADIUS TO LOWER LEFT HAND (LL) CORNER C ALA1 = ALAT1 * RADPD RMLL = REBYDX * (((COSLTN)**(1.-AN))*(1.+AN)**AN) * & (((COS(ALA1))/(1.+H*SIN(ALA1)))**AN)/AN C C USE LL POINT INFO TO LOCATE POLE POINT C ELO1 = ELON1L * RADPD ARG = AN * (ELO1-ELONVR) POLEI = 1. - H * RMLL * SIN(ARG) POLEJ = 1. + RMLL * COS(ARG) C C RADIUS TO DESIRED POINT AND THE I J TOO C ALA = ALAT * RADPD RM = REBYDX * ((COSLTN**(1.-AN))*(1.+AN)**AN) * & (((COS(ALA))/(1.+H*SIN(ALA)))**AN)/AN C ELO = ELONL * RADPD ARG = AN*(ELO-ELONVR) XI = POLEI + H * RM * SIN(ARG) XJ = POLEJ - RM * COS(ARG) C C IF COORDINATE LESS THAN 1 C COMPENSATE FOR ORIGIN AT (1,1) C IF (XI.LT.1.) XI = XI - 1. IF (XJ.LT.1.) XJ = XJ - 1. C RETURN END