Documentation of the general interpolation library iplib May 2, 1996
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I. Introduction
The general interpolation library iplib contains FORTRAN subprograms
to be used for interpolating between almost any grids used at NCEP.
The library has been optimized for the CRAY machines, taking full advantage
of both the vector and parallel capabilities. The library is particularly
efficient when interpolating many fields at one time. The library should be
transportable to other platforms with compilers allowing automatic arrays.
There are currently five interpolation methods available in the library.
They are respectively bilinear, bicubic, neighbor, budget and spectral
interpolation methods. Some of the methods have interpolation sub-options.
A few methods have restrictions on the type of input or output grids as well.
Also, several methods can perform interpolation on fields with bitmaps
(i.e. some points on the input grid may not have valid data). In this case,
the bitmap is interpolated to the output grid as well. Only valid input points
are used to interpolate to valid output points. An output bitmap will also be
created to locate invalid data where the output grid extends outside the domain
of the input grid. Thus an output bitmap must always be dimensioned.
Bilinear interpolation is chosen by setting IP=0. This method has no options.
This method also has no restrictions and can interpolate with bitmaps.
Bicubic interpolation is chosen by setting IP=1. This method has one option,
a monotonic constraint option IPOPT(1) which is 0 for straight bicubic or
is 1 for contraining the output value to be within the range of the four
surrounding input values. This method cannot interpolate with bitmaps.
Neighbor interpolation is chosen by setting IP=2. Neighbor interpolation
means that the output value is set to the nearest input value. It would be
appropriate for interpolating integer fields such as vegetation index.
This method has no options. This method also has no restrictions and can
interpolate with bitmaps.
Budget interpolation is chosen by setting IP=3. Budget interpolation
means a low-order interpolation method that quasi-conserves area averages.
It would be appropriate for interpolating budget fields such as precipitation.
This method assumes that the field really represents box averages where each
box extends halfway to its neighboring grid point in each direction.
The method actually averages bilinearly interpolated values in a square array
of points distributed within each output grid box. The first option of this
method IPOPT(1) is the number of points in the radius of the square array.
If IPOPT(1)=-1, then the number defaults to 2 meaning that 25 sample points
will be averaged for each output value. Note that if IPOPT(1)=0, then
this method degenerates to simple bilinear interpolation. Further options
(IPOPT(2:2+IPOPT(1)) are the respective averaging weights for the radius points
starting at the center point. If IPOPT(2)=-1, then all the weights default
to 1 giving an unweighted average. This method can interpolate with bitmaps.
The output grid must be a well-defined grid and not a set of stations.
Spectral interpolation is chosen by setting IP=4. This method has two options,
the spectral shape IPOPT(1) which is 0 for triangular or 1 for rhomboidal
and the spectral truncation IPOPT(2). The input grid must be a global
cylindrical grid (either Gaussian or equidistant). This method cannot
interpolate with bitmaps. Unless the output grid is a global cylindrical
grid, a polar stereographic grid centered at the pole or a Mercator grid,
this method can be quite expensive.
The library can handle two-dimensional vector fields as well as scalar fields.
The input and output vectors are rotated if necessary so that they are
either resolved relative to their defined grid in the direction of
increasing x and y coordinates or resolved relative to eastward and northward
directions on the earth. The rotation is determined by the grid definitions.
Vectors are generally interpolated (by all methods but spectral interpolation)
by moving the relevant input vectors along a great circle to the output point,
keeping their orientations with respect to the great circle constant, before
independently interpolating the respective components. This ensures that vector
interpolation will be consistent over the whole globe including the poles.
The input and output grids are defined by their respective GRIB grid description
sections (GDS) passed in integer form KGDS as decoded by subprogram w3fi63
in w3lib or by subprogram makgds in this library. That is, the interpolation
subprograms can readily interpolate from a GRIB field that is unpacked
by subprogram w3fi63; the interpolation subprograms can also readily
interpolate to an NCEP pre-defined grid that is expanded into KGDS form by
subprogram makgds (which in turn calls w3fi71). There are currently six grid
projections recognized in the library. The projections are respectively
equidistant cylindrical (KGDS(1)=000), Mercator cylindrical (KGDS(1)=001),
Lambert conformal conical (KGDS(1)=003), Gaussian cylindrical (KGDS(1)=004),
polar stereographic azimuthal (KGDS(1)=005), and filled rotated equidistant
cylindrical (KGDS(1)=202).
If the output data representation type is negative (KGDSO(1)<0), then the
output data may be just a set of station points. (This feature cannot be
used with the budget interpolation method.) In this case, the user must pass
the number of points to be output along with their latitudes and longitudes.
For vector interpolation, the vector rotations parameters must also be passed.
On the other hand, for non-negative output data representation types,
the number of output grid points and their latitudes and longitudes
(and the vector rotation parameters for vector interpolation) are all
returned by the interpolation subprograms.
If an output equidistant cylindrical grid contains multiple pole points, then
the pole points are forced to be self-consistent. That is, scalar fields
are obliged to be constant at the pole and vector components are obliged
to exhibit a wavenumber one variation at the pole.
Generally, only regular grids can be interpolated in this library. However,
the thinned WAFS grids and the staggered eta grids can be interpolated by using
transform subprograms (ipxwafs and ipxetas, respectively) in this library that
will either expand the irregular grid to a regular grid or contract a regular
grid to an irregular grid as necessary.
The return code issued by an interpolation subprogram determines whether
it ran successfully or how it failed. Check nonzero return codes
against the docblock of the respective subprogram.
Developers are encouraged to create additional interpolation methods or
to create additional map projection "wizards" for iplib.
This documentation is divided into 4 chapters. Chapter I is this introduction.
Chapter II is a list of all entry points. Chapter III is a set of examples.
Chapter IV is a recapitulation of all the docblocks. The chapters all start
on a line number that is 1 modulo 60 in order to facilitate laser printing.
II. Entry point list
Name Function
---- ------------------------------------------------------------------
Scalar field interpolation subprograms
IPOLATES IREDELL'S POLATE FOR SCALAR FIELDS
POLATES0 INTERPOLATE SCALAR FIELDS (BILINEAR)
POLATES1 INTERPOLATE SCALAR FIELDS (BICUBIC)
POLATES2 INTERPOLATE SCALAR FIELDS (NEIGHBOR)
POLATES3 INTERPOLATE SCALAR FIELDS (BUDGET)
POLATES4 INTERPOLATE SCALAR FIELDS (SPECTRAL)
POLFIXS MAKE MULTIPLE POLE SCALAR VALUES CONSISTENT
Vector field interpolation subprograms
IPOLATEV IREDELL'S POLATE FOR VECTOR FIELDS
POLATEV0 INTERPOLATE VECTOR FIELDS (BILINEAR)
POLATEV1 INTERPOLATE VECTOR FIELDS (BICUBIC)
POLATEV2 INTERPOLATE VECTOR FIELDS (NEIGHBOR)
POLATEV3 INTERPOLATE VECTOR FIELDS (BUDGET)
POLATEV4 INTERPOLATE VECTOR FIELDS (SPECTRAL)
MOVECT MOVE A VECTOR ALONG A GREAT CIRCLE
POLFIXV MAKE MULTIPLE POLE VECTOR VALUES CONSISTENT
Grid description section decoders
GDSWIZ GRID DESCRIPTION SECTION WIZARD
GDSWIZ00 GDS WIZARD FOR EQUIDISTANT CYLINDRICAL
GDSWIZ01 GDS WIZARD FOR MERCATOR CYLINDRICAL
GDSWIZ03 GDS WIZARD FOR LAMBERT CONFORMAL CONICAL
GDSWIZ04 GDS WIZARD FOR GAUSSIAN CYLINDRICAL
GAUSSLAT COMPUTE GAUSSIAN LATITUDES
GDSWIZ05 GDS WIZARD FOR POLAR STEREOGRAPHIC AZIMUTHAL
GDSWIZCA GDS WIZARD FOR ROTATED EQUIDISTANT CYLINDRICAL
IJKGDS RETURN FIELD POSITION FOR A GIVEN GRID POINT
MAKGDS MAKE OR BREAK A GRID DESCRIPTION SECTION
Transform subprograms for special irregular grids
IPXWAFS EXPAND OR CONTRACT WAFS GRIDS
IPXETAS EXPAND OR CONTRACT ETA GRIDS
III. Examples
Example 1. Interpolate from an arbitrary input grid (probably 1x1)
to NCEP grid 27 (65x65 northern polar stereographic).
Interpolate heights bilinearly and winds bicubically.
Interpolate soil moisture and precipitation using bitmaps
with the budget method. Encode the soil moisture bitmap in GRIB.
Subprograms GETGB and PUTGB from w3lib are referenced.
c example of using ipolate package.
c see documentation of ipolates and ipolatev
c for further possible options.
integer ipopt(20)
integer jpds(25),jgds(22),kpdsi(25),kgdsi(22),kpdso(25),kgdso(22)
parameter(ji=360*181,ig=27,jo=65*65,km=4)
real rlat(jo),rlon(jo),crot(jo),srot(jo)
integer ibi(km),ibo(km)
logical li(ji,km),lo(jo,km)
real hi(ji,km),ri(ji),ui(ji),vi(ji)
real ho(jo,km),ro(jo),uo(jo),vo(jo)
character gdso(42)
integer lev(km)
data lev/1000,500,250,100/
c define 65x65 grid
call makgds(ig,kgdso,gdso,lengds,iret)
if(iret.ne.0) call exit(iret)
kgdso(4)=-20826! fix w3fi71 error
print *,'kgdso=',kgdso
ipopt=0
c interpolate 4 levels of height to 65x65 bilinearly
do k=1,km
jpds=-1
jpds(5)=7
jpds(6)=100
jpds(7)=lev(k)
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li(1,k),hi(1,k),iret)
if(iret.ne.0) call exit(iret)
call putgb(50,ki,kpdsi,kgdsi,li(1,k),hi(1,k),iret)
if(iret.ne.0) call exit(iret)
ibi(k)=mod(kpdsi(4)/64,2)
print *,'ibi(k)=',ibi(k)
enddo
call ipolates(0,ipopt,kgdsi,kgdso,ji,jo,km,ibi,li,hi,
& ko,rlat,rlon,ibo,lo,ho,iret)
if(iret.ne.0) call exit(iret)
kpdso=kpdsi
kpdso(3)=ig
do k=1,km
kpdso(7)=lev(k)
call putgb(51,ko,kpdso,kgdso,lo(1,k),ho(1,k),iret)
if(iret.ne.0) call exit(iret)
enddo
c interpolate precipitation to 65x65 with budget method
c (zero rain is masked out)
jpds=-1
jpds(5)=61
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li,ri,iret)
if(iret.ne.0) call exit(iret)
call putgb(50,ki,kpdsi,kgdsi,li,ri,iret)
if(iret.ne.0) call exit(iret)
ipopt(1)=-1
ipopt(2)=-1
li(1:ki,1)=ri(1:ki).gt.0.
call ipolates(3,ipopt,kgdsi,kgdso,ji,jo,1,1,li,ri,
& ko,rlat,rlon,ibo,lo,ro,iret)
if(iret.ne.0) call exit(iret)
kpdso=kpdsi
kpdso(3)=ig
call putgb(51,ko,kpdso,kgdso,lo,ro,iret)
if(iret.ne.0) call exit(iret)
c interpolate soil moisture to 65x65 with budget method
jpds=-1
jpds(5)=144
jpds(6)=112
jpds(7)=10
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li,ri,iret)
if(iret.ne.0) call exit(iret)
call putgb(50,ki,kpdsi,kgdsi,li,ri,iret)
if(iret.ne.0) call exit(iret)
ibi(1)=mod(kpdsi(4)/64,2)
ipopt(1)=-1
ipopt(2)=-1
call ipolates(3,ipopt,kgdsi,kgdso,ji,jo,1,ibi,li,ri,
& ko,rlat,rlon,ibo,lo,ro,iret)
if(iret.ne.0) call exit(iret)
kpdso=kpdsi
kpdso(3)=ig
kpdso(4)=128+64*ibo(1)
call putgb(51,ko,kpdso,kgdso,lo,ro,iret)
if(iret.ne.0) call exit(iret)
c interpolate 200 mb winds to 65x65 bicubically
jpds=-1
jpds(5)=33
jpds(6)=100
jpds(7)=200
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li,ui,iret)
if(iret.ne.0) call exit(iret)
call putgb(50,ki,kpdsi,kgdsi,li,ui,iret)
if(iret.ne.0) call exit(iret)
jpds(5)=34
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li,vi,iret)
if(iret.ne.0) call exit(iret)
call putgb(50,ki,kpdsi,kgdsi,li,vi,iret)
if(iret.ne.0) call exit(iret)
ipopt(1)=0
call ipolatev(1,ipopt,kgdsi,kgdso,ji,jo,1,0,li,ui,vi,
& ko,rlat,rlon,crot,srot,ibo,lo,uo,vo,iret)
if(iret.ne.0) call exit(iret)
kpdso=kpdsi
kpdso(3)=ig
kpdso(5)=33
call putgb(51,ko,kpdso,kgdso,lo,uo,iret)
if(iret.ne.0) call exit(iret)
kpdso(5)=34
call putgb(51,ko,kpdso,kgdso,lo,vo,iret)
if(iret.ne.0) call exit(iret)
stop
end
Example 2. Interpolate winds from an arbitrary input grid (probably 1x1)
to 4 station points while truncating spectrally to R30.
c read and unpack the 500 mb winds, truncate to R30,
c and interpolate to 4 corners of a box
integer ipopt(20)
integer jpds(25),jgds(22),kpdsi(25),kgdsi(22),kgdso(22)
parameter(jf=360*181,kp=4)
real rlat(kp),rlon(kp),crot(kp),srot(kp)
logical lgi(jf),lgo(kp)
real ui(jf),vi(jf),uo(kp),vo(kp)
jpds=-1
jpds(5)=33
jpds(6)=100
jpds(7)=500
call getgb(11,31,jf,0,jpds,jgds,kf,kr,kpdsi,kgdsi,
& lgi,ui,iret)
jpds(5)=34
call getgb(11,31,jf,0,jpds,jgds,kf,kr,kpdsi,kgdsi,
& lgi,vi,iret)
kgdso=-1
rlat(1)=20.
rlat(2)=20.
rlat(3)=10.
rlat(4)=10.
rlon(1)=-50.
rlon(2)=-40.
rlon(3)=-50.
rlon(4)=-40.
crot=1.
srot=0.
ipopt(1)=1
ipopt(2)=30
uo=-999
vo=-999
call ipolatev(4,ipopt,kgdsi,kgdso,jf,kp,1,0,lgi,ui,vi,
& kp,rlat,rlon,crot,srot,ibo,lgo,uo,vo,iret)
print '(2(2x,2f8.2))',(uo(k),vo(k),k=1,kp)
end
Example 3. Interpolate winds from an arbitrary input grid (probably 1x1)
bilinearly to 3 station points.
c read and unpack 4 levels of heights and winds
c and interpolate to 3 sonde sites.
integer ipopt(20)
integer jpds(25),jgds(22),kpdsi(25),kgdsi(22),kgdso(22)
parameter(ji=360*181,km=4,jo=3)
real rlat(jo),rlon(jo),crot(jo),srot(jo)
integer ibi(km),ibo(km)
logical li(ji,km),lo(jo,km)
real hi(ji,km),ui(ji,km),vi(ji,km),ho(jo,km),uo(jo,km),vo(jo,km)
integer lev(km)
data lev/1000,500,250,100/
c define output locations
kgdso=-1
rlat(1)=22.2
rlat(2)=33.3
rlat(3)=44.4
rlon(1)=-50.
rlon(2)=-40.
rlon(3)=-30.
crot=1.
srot=0.
c heights
do k=1,km
jpds=-1
jpds(5)=7
jpds(6)=100
jpds(7)=lev(k)
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li(1,k),hi(1,k),iret)
if(iret.ne.0) call exit(iret)
ibi(k)=mod(kpdsi(4)/64,2)
enddo
call ipolates(0,ipopt,kgdsi,kgdso,ji,jo,km,ibi,li,hi,
& jo,rlat,rlon,ibo,lo,ho,iret)
if(iret.ne.0) call exit(iret)
c winds
do k=1,km
jpds=-1
jpds(5)=33
jpds(6)=100
jpds(7)=lev(k)
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li(1,k),ui(1,k),iret)
if(iret.ne.0) call exit(iret)
jpds=-1
jpds(5)=34
jpds(6)=100
jpds(7)=lev(k)
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li(1,k),vi(1,k),iret)
if(iret.ne.0) call exit(iret)
ibi(k)=mod(kpdsi(4)/64,2)
enddo
call ipolatev(0,ipopt,kgdsi,kgdso,ji,jo,km,ibi,li,ui,vi,
& jo,rlat,rlon,crot,srot,ibo,lo,uo,vo,iret)
if(iret.ne.0) call exit(iret)
print '((i8,3(2x,3f8.2)))',
& (lev(k),(ho(j,k),uo(j,k),vo(j,k),j=1,jo),k=1,km)
end
Example 4. Interpolate 850 mb height and winds from the staggered meso-eta
to a regional 0.25 degree grid.
integer ipopt(20)
integer jpds(25),jgds(22),kpdsi(25),kgdsi(22),kpdso(25),kgdso(22)
integer kgdsi2(22)
parameter(ji=361*271,ig=255,jo=121*81)
real rlat(jo),rlon(jo),crot(jo),srot(jo)
logical li(ji),lo(jo)
real fi(ji),fi2(ji),fo(jo)
real vi(ji),vi2(ji),vo(jo)
character gdso(400)
kgdso=0
kgdso(1)=0
kgdso(2)=121
kgdso(3)=81
kgdso(4)=30000
kgdso(5)=-90000
kgdso(6)=128
kgdso(7)=50000
kgdso(8)=-60000
kgdso(9)=250
kgdso(10)=250
kgdso(11)=64
kgdso(19)=0
kgdso(20)=255
if(iret.ne.0) call exit(iret)
ipopt=0
jpds=-1
jpds(6)=100
jpds(7)=850
jpds(5)=7
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li,fi,iret)
if(iret.ne.0) call exit(iret)
call ipxetas(1,ji,ji,1,kgdsi,fi,kgdsi2,fi2,iret)
if(iret.ne.0) call exit(iret)
call ipolates(0,ipopt,kgdsi2,kgdso,ji,jo,1,0,li,fi2,
& ko,rlat,rlon,ibo,lo,fo,iret)
if(iret.ne.0) call exit(iret)
kpdso=kpdsi
kpdso(3)=ig
kpdso(4)=128+64*ibo
kpdso(22)=1
call putgb(51,ko,kpdso,kgdso,lo,fo,iret)
if(iret.ne.0) call exit(iret)
jpds(5)=33
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li,fi,iret)
if(iret.ne.0) call exit(iret)
call ipxetas(2,ji,ji,1,kgdsi,fi,kgdsi2,fi2,iret)
if(iret.ne.0) call exit(iret)
jpds(5)=34
call getgb(11,31,ji,0,jpds,jgds,ki,kr,kpdsi,kgdsi,
& li,vi,iret)
if(iret.ne.0) call exit(iret)
call ipxetas(2,ji,ji,1,kgdsi,vi,kgdsi2,vi2,iret)
if(iret.ne.0) call exit(iret)
call ipolatev(0,ipopt,kgdsi2,kgdso,ji,jo,1,0,li,fi2,vi2,
& ko,rlat,rlon,crot,srot,ibo,lo,fo,vo,iret)
if(iret.ne.0) call exit(iret)
kpdso=kpdsi
kpdso(3)=ig
kpdso(4)=128+64*ibo
kpdso(22)=1
kpdso(5)=33
call putgb(51,ko,kpdso,kgdso,lo,fo,iret)
if(iret.ne.0) call exit(iret)
kpdso(5)=34
call putgb(51,ko,kpdso,kgdso,lo,vo,iret)
if(iret.ne.0) call exit(iret)
end
IV. Docblocks
The primary documentation of iplib is via the docblocks in its subprograms.
The following recapitulation of docblocks is current as of May, 1996.
Docblock for ipolates.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: IPOLATES IREDELL'S POLATE FOR SCALAR FIELDS
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM INTERPOLATES SCALAR FIELDS
C FROM ANY GRID TO ANY GRID (JOE IRWIN'S DREAM).
C ONLY HORIZONTAL INTERPOLATION IS PERFORMED.
C THE FOLLOWING INTERPOLATION METHODS ARE POSSIBLE:
C (IP=0) BILINEAR
C (IP=1) BICUBIC
C (IP=2) NEIGHBOR
C (IP=3) BUDGET
C (IP=4) SPECTRAL
C SOME OF THESE METHODS HAVE INTERPOLATION OPTIONS AND/OR
C RESTRICTIONS ON THE INPUT OR OUTPUT GRIDS, BOTH OF WHICH
C ARE DOCUMENTED MORE FULLY IN THEIR RESPECTIVE SUBPROGRAMS.
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 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 IPOLATES(IP,IPOPT,KGDSI,KGDSO,MI,MO,KM,IBI,LI,GI,
C & NO,RLAT,RLON,IBO,LO,GO,IRET)
C
C INPUT ARGUMENT LIST:
C IP - INTEGER INTERPOLATION METHOD
C (IP=0 FOR BILINEAR;
C IP=1 FOR BICUBIC;
C IP=2 FOR NEIGHBOR;
C IP=3 FOR BUDGET;
C IP=4 FOR SPECTRAL)
C IPOPT - INTEGER (20) INTERPOLATION OPTIONS
C (IP=0: (NO OPTIONS)
C IP=1: CONSTRAINT OPTION
C IP=2: (NO OPTIONS)
C IP=3: NUMBER IN RADIUS, RADIUS WEIGHTS ...
C IP=4: SPECTRAL SHAPE, SPECTRAL TRUNCATION)
C KGDSI - INTEGER (22) INPUT GDS PARAMETERS AS DECODED BY W3FI63
C KGDSO - INTEGER (22) OUTPUT GDS PARAMETERS AS DECODED BY W3FI63
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 (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 1 UNRECOGNIZED INTERPOLATION METHOD
C 2 UNRECOGNIZED INPUT GRID OR NO GRID OVERLAP
C 3 UNRECOGNIZED OUTPUT GRID
C 1X INVALID BICUBIC METHOD PARAMETERS
C 3X INVALID BUDGET METHOD PARAMETERS
C 4X INVALID SPECTRAL METHOD PARAMETERS
C
C SUBPROGRAMS CALLED:
C POLATES0 INTERPOLATE SCALAR FIELDS (BILINEAR)
C POLATES1 INTERPOLATE SCALAR FIELDS (BICUBIC)
C POLATES2 INTERPOLATE SCALAR FIELDS (NEIGHBOR)
C POLATES3 INTERPOLATE SCALAR FIELDS (BUDGET)
C POLATES4 INTERPOLATE SCALAR FIELDS (SPECTRAL)
C
C REMARKS: EXAMPLES DEMONSTRATING RELATIVE CPU COSTS.
C THIS EXAMPLE IS INTERPOLATING 12 LEVELS OF TEMPERATURES
C FROM THE 360 X 181 GLOBAL GRID (NCEP GRID 3)
C TO THE 93 X 68 HAWAIIAN MERCATOR GRID (NCEP GRID 204).
C THE EXAMPLE TIMES ARE FOR THE C90. AS A REFERENCE, THE CP TIME
C FOR UNPACKING THE GLOBAL 12 TEMPERATURE FIELDS IS 0.04 SECONDS.
C
C METHOD IP IPOPT CP SECONDS
C -------- -- ------------- ----------
C BILINEAR 0 0.03
C BICUBIC 1 0 0.07
C BICUBIC 1 1 0.07
C NEIGHBOR 2 0.01
C BUDGET 3 -1,-1 0.46
C SPECTRAL 4 0,40 0.23
C SPECTRAL 4 1,40 0.25
C SPECTRAL 4 0,-1 0.43
C
C THE SPECTRAL INTERPOLATION IS FAST FOR THE MERCATOR GRID.
C HOWEVER, FOR SOME GRIDS THE SPECTRAL INTERPOLATION IS SLOW.
C THE FOLLOWING EXAMPLE IS INTERPOLATING 12 LEVELS OF TEMPERATURES
C FROM THE 360 X 181 GLOBAL GRID (NCEP GRID 3)
C TO THE 93 X 65 CONUS LAMBERT CONFORMAL GRID (NCEP GRID 211).
C
C METHOD IP IPOPT CP SECONDS
C -------- -- ------------- ----------
C BILINEAR 0 0.02
C BICUBIC 1 0 0.06
C BICUBIC 1 1 0.06
C NEIGHBOR 2 0.01
C BUDGET 3 -1,-1 0.45
C SPECTRAL 4 0,40 4.10
C SPECTRAL 4 1,40 5.23
C SPECTRAL 4 0,-1 11.75
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for polates0.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATES0 INTERPOLATE SCALAR FIELDS (BILINEAR)
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM PERFORMS BILINEAR INTERPOLATION
C FROM ANY GRID TO ANY GRID FOR SCALAR FIELDS.
C NO OPTIONS ARE ALLOWED.
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 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 POLATES0(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 (NO OPTIONS)
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
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
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$$$
Docblock for polates1.
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 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 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 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 11 INVALID INPUT BITMAPS
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$$$
Docblock for polates2.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATES2 INTERPOLATE SCALAR FIELDS (NEIGHBOR)
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM PERFORMS NEIGHBOR INTERPOLATION
C FROM ANY GRID TO ANY GRID FOR SCALAR FIELDS.
C NO OPTIONS ARE ALLOWED.
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 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 POLATES2(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 (NO OPTIONS)
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
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
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$$$
Docblock for polates3.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATES3 INTERPOLATE SCALAR 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 SCALAR 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 AS AN ADDED BONUS THE NUMBER OF OUTPUT GRID POINTS
C AND THEIR LATITUDES AND LONGITUDES ARE ALSO RETURNED.
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 POLATES3(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 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 (22) INPUT GDS PARAMETERS AS DECODED BY W3FI63
C KGDSO - INTEGER (22) OUTPUT GDS PARAMETERS AS DECODED BY W3FI63
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 (MI,KM) INPUT BITMAPS (IF RESPECTIVE IBI(K)=1)
C GI - REAL (MI,KM) INPUT 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 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 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 POLFIXS MAKE MULTIPLE POLE SCALAR VALUES CONSISTENT
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for polates4.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATES4 INTERPOLATE SCALAR FIELDS (SPECTRAL)
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM PERFORMS SPECTRAL INTERPOLATION
C FROM ANY GRID TO ANY GRID FOR SCALAR FIELDS.
C IT REQUIRES THAT THE INPUT FIELDS BE UNIFORMLY GLOBAL.
C OPTIONS ALLOW CHOICES BETWEEN TRIANGULAR SHAPE (IPOPT(1)=0)
C AND RHOMBOIDAL SHAPE (IPOPT(1)=1) WHICH HAS NO DEFAULT;
C A SECOND OPTION IS THE TRUNCATION (IPOPT(2)) WHICH DEFAULTS
C TO A SENSIBLE TRUNCATION FOR THE INPUT GRID (IF OPT(2)=-1).
C NOTE THAT IF THE OUTPUT GRID IS NOT FOUND IN A SPECIAL LIST,
C THEN THE TRANSFORM BACK TO GRID IS NOT VERY FAST.
C THIS SPECIAL LIST CONTAINS GLOBAL CYLINDRICAL GRIDS,
C POLAR STEREOGRAPHIC GRIDS CENTERED AT THE POLE
C AND MERCATOR GRIDS.
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 NOT BE CREATED.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL POLATES4(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 TRIANGULAR, IPOPT(1)=1 FOR RHOMBOIDAL;
C IPOPT(2) IS TRUNCATION NUMBER
C (DEFAULTS TO SENSIBLE IF IPOPT(2)=-1).
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 41 INVALID NONGLOBAL INPUT GRID
C 42 INVALID SPECTRAL METHOD PARAMETERS
C
C SUBPROGRAMS CALLED:
C GDSWIZ GRID DESCRIPTION SECTION WIZARD
C SPTRUN SPECTRALLY TRUNCATE GRIDDED SCALAR FIELDS
C SPTRUNS SPECTRALLY INTERPOLATE SCALARS TO POLAR STEREO.
C SPTRUNM SPECTRALLY INTERPOLATE SCALARS TO MERCATOR
C SPTRUNG SPECTRALLY INTERPOLATE SCALARS TO STATIONS
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for polfixs.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLFIXS MAKE MULTIPLE POLE SCALAR VALUES CONSISTENT
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM AVERAGES MULTIPLE POLE SCALAR VALUES
C ON A LATITUDE/LONGITUDE GRID. BITMAPS MAY BE AVERAGED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL POLFIXS(NM,NX,KM,RLAT,RLON,IB,LO,GO)
C
C INPUT ARGUMENT LIST:
C NO - INTEGER NUMBER OF GRID POINTS
C NX - INTEGER LEADING DIMENSION OF FIELDS
C KM - INTEGER NUMBER OF FIELDS
C RLAT - REAL (NO) LATITUDES IN DEGREES
C RLON - REAL (NO) LONGITUDES IN DEGREES
C IB - INTEGER (KM) BITMAP FLAGS
C LO - LOGICAL (NX,KM) BITMAPS (IF RESPECTIVE IB(K)=1)
C GO - REAL (NX,KM) FIELDS
C
C OUTPUT ARGUMENT LIST:
C LO - LOGICAL (NX,KM) BITMAPS (IF RESPECTIVE IB(K)=1)
C GO - REAL (NX,KM) FIELDS
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for ipolatev.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: IPOLATEV IREDELL'S POLATE FOR VECTOR FIELDS
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM INTERPOLATES VECTOR FIELDS
C FROM ANY GRID TO ANY GRID (JOE IRWIN'S DREAM).
C ONLY HORIZONTAL INTERPOLATION IS PERFORMED.
C THE FOLLOWING INTERPOLATION METHODS ARE POSSIBLE:
C (IP=0) BILINEAR
C (IP=1) BICUBIC
C (IP=2) NEIGHBOR
C (IP=3) BUDGET
C (IP=4) SPECTRAL
C SOME OF THESE METHODS HAVE INTERPOLATION OPTIONS AND/OR
C RESTRICTIONS ON THE INPUT OR OUTPUT GRIDS, BOTH OF WHICH
C ARE DOCUMENTED MORE FULLY IN THEIR RESPECTIVE SUBPROGRAMS.
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 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 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 IPOLATEV(IP,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 IP - INTEGER INTERPOLATION METHOD
C (IP=0 FOR BILINEAR;
C IP=1 FOR BICUBIC;
C IP=2 FOR NEIGHBOR;
C IP=3 FOR BUDGET;
C IP=4 FOR SPECTRAL)
C IPOPT - INTEGER (20) INTERPOLATION OPTIONS
C (IP=0: (NO OPTIONS)
C IP=1: CONSTRAINT OPTION
C IP=2: (NO OPTIONS)
C IP=3: NUMBER IN RADIUS, RADIUS WEIGHTS ...
C IP=4: SPECTRAL SHAPE, SPECTRAL TRUNCATION)
C KGDSI - INTEGER (22) INPUT GDS PARAMETERS AS DECODED BY W3FI63
C KGDSO - INTEGER (22) OUTPUT GDS PARAMETERS AS DECODED BY W3FI63
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 (MI,KM) INPUT BITMAPS (IF RESPECTIVE 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 NO - INTEGER NUMBER OF OUTPUT POINTS (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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)<0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)<0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
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 CROT - REAL (MO) VECTOR ROTATION COSINES (IF KGDSO(1)>=0)
C SROT - REAL (MO) VECTOR ROTATION SINES (IF KGDSO(1)>=0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C IBO - INTEGER (KM) OUTPUT BITMAP FLAGS
C LO - LOGICAL (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 1 UNRECOGNIZED INTERPOLATION METHOD
C 2 UNRECOGNIZED INPUT GRID OR NO GRID OVERLAP
C 3 UNRECOGNIZED OUTPUT GRID
C 1X INVALID BICUBIC METHOD PARAMETERS
C 3X INVALID BUDGET METHOD PARAMETERS
C 4X INVALID SPECTRAL METHOD PARAMETERS
C
C SUBPROGRAMS CALLED:
C POLATEV0 INTERPOLATE VECTOR FIELDS (BILINEAR)
C POLATEV1 INTERPOLATE VECTOR FIELDS (BICUBIC)
C POLATEV2 INTERPOLATE VECTOR FIELDS (NEIGHBOR)
C POLATEV3 INTERPOLATE VECTOR FIELDS (BUDGET)
C POLATEV4 INTERPOLATE VECTOR FIELDS (SPECTRAL)
C
C REMARKS: EXAMPLE DEMONSTRATING RELATIVE CPU COSTS.
C THIS EXAMPLE IS INTERPOLATING 12 LEVELS OF WINDS
C FROM THE 360 X 181 GLOBAL GRID (NCEP GRID 3)
C TO THE 93 X 68 HAWAIIAN MERCATOR GRID (NCEP GRID 204).
C THE EXAMPLE TIMES ARE FOR THE C90. AS A REFERENCE, THE CP TIME
C FOR UNPACKING THE GLOBAL 12 PAIRS OF WIND FIELDS IS 0.07 SECONDS.
C
C METHOD IP IPOPT CP SECONDS
C -------- -- ------------- ----------
C BILINEAR 0 0.06
C BICUBIC 1 0 0.16
C BICUBIC 1 1 0.17
C NEIGHBOR 2 0.03
C BUDGET 3 -1,-1 0.92
C SPECTRAL 4 0,40 0.32
C SPECTRAL 4 1,40 0.34
C SPECTRAL 4 0,-1 0.59
C
C THE SPECTRAL INTERPOLATION IS FAST FOR THE MERCATOR GRID.
C HOWEVER, FOR SOME GRIDS THE SPECTRAL INTERPOLATION IS SLOW.
C THE FOLLOWING EXAMPLE IS INTERPOLATING 12 LEVELS OF WINDS
C FROM THE 360 X 181 GLOBAL GRID (NCEP GRID 3)
C TO THE 93 X 65 CONUS LAMBERT CONFORMAL GRID (NCEP GRID 211).
C
C METHOD IP IPOPT CP SECONDS
C -------- -- ------------- ----------
C BILINEAR 0 0.05
C BICUBIC 1 0 0.14
C BICUBIC 1 1 0.15
C NEIGHBOR 2 0.02
C BUDGET 3 -1,-1 0.88
C SPECTRAL 4 0,40 4.47
C SPECTRAL 4 1,40 5.62
C SPECTRAL 4 0,-1 12.59
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for polatev0.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATEV0 INTERPOLATE VECTOR FIELDS (BILINEAR)
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM PERFORMS BILINEAR INTERPOLATION
C FROM ANY GRID TO ANY GRID FOR VECTOR FIELDS.
C NO OPTIONS ARE ALLOWED.
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 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 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 POLATEV0(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 (NO OPTIONS)
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
C LI - LOGICAL (MI,KM) INPUT BITMAPS (IF RESPECTIVE 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 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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)<0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)<0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)>=0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)>=0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C IBO - INTEGER (KM) OUTPUT BITMAP FLAGS
C LO - LOGICAL (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
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$$$
Docblock for polatev1.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATEV1 INTERPOLATE VECTOR 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 VECTOR 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 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 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 ALONG WITH THEIR VECTOR ROTATION PARAMETERS.
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 POLATEV1(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)=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 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 UI - REAL (MI,KM) INPUT U-COMPONENT FIELDS TO INTERPOLATE
C VI - REAL (MI,KM) INPUT V-COMPONENT 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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)<0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)<0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)>=0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)>=0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C IBO - INTEGER (KM) OUTPUT BITMAP FLAGS
C LO - LOGICAL (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 11 INVALID INPUT BITMAPS
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$$$
Docblock for polatev2.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATEV2 INTERPOLATE VECTOR FIELDS (NEIGHBOR)
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM PERFORMS NEIGHBOR INTERPOLATION
C FROM ANY GRID TO ANY GRID FOR VECTOR FIELDS.
C NO OPTIONS ARE ALLOWED.
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 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 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 POLATEV2(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 (NO OPTIONS)
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
C LI - LOGICAL (MI,KM) INPUT BITMAPS (IF RESPECTIVE 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 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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)<0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)<0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)>=0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)>=0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C IBO - INTEGER (KM) OUTPUT BITMAP FLAGS
C LO - LOGICAL (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
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$$$
Docblock for polatev3.
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 (22) INPUT GDS PARAMETERS AS DECODED BY W3FI63
C KGDSO - INTEGER (22) OUTPUT GDS PARAMETERS AS DECODED BY W3FI63
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 (MI,KM) INPUT BITMAPS (IF RESPECTIVE 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 (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$$$
Docblock for polatev4.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLATEV4 INTERPOLATE VECTOR FIELDS (SPECTRAL)
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM PERFORMS SPECTRAL INTERPOLATION
C FROM ANY GRID TO ANY GRID FOR VECTOR FIELDS.
C IT REQUIRES THAT THE INPUT FIELDS BE UNIFORMLY GLOBAL.
C OPTIONS ALLOW CHOICES BETWEEN TRIANGULAR SHAPE (IPOPT(1)=0)
C AND RHOMBOIDAL SHAPE (IPOPT(1)=1) WHICH HAS NO DEFAULT;
C A SECOND OPTION IS THE TRUNCATION (IPOPT(2)) WHICH DEFAULTS
C TO A SENSIBLE TRUNCATION FOR THE INPUT GRID (IF OPT(2)=-1).
C NOTE THAT IF THE OUTPUT GRID IS NOT FOUND IN A SPECIAL LIST,
C THEN THE TRANSFORM BACK TO GRID IS NOT VERY FAST.
C THIS SPECIAL LIST CONTAINS GLOBAL CYLINDRICAL GRIDS,
C POLAR STEREOGRAPHIC GRIDS CENTERED AT THE POLE
C AND MERCATOR GRIDS.
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 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 ALONG WITH THEIR VECTOR ROTATION PARAMETERS.
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 POLATEV4(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)=0 FOR TRIANGULAR, IPOPT(1)=1 FOR RHOMBOIDAL;
C IPOPT(2) IS TRUNCATION NUMBER
C (DEFAULTS TO SENSIBLE IF IPOPT(2)=-1).
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 UI - REAL (MI,KM) INPUT U-COMPONENT FIELDS TO INTERPOLATE
C VI - REAL (MI,KM) INPUT V-COMPONENT 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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)<0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)<0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
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 CROT - REAL (NO) VECTOR ROTATION COSINES (IF KGDSO(1)>=0)
C SROT - REAL (NO) VECTOR ROTATION SINES (IF KGDSO(1)>=0)
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C IBO - INTEGER (KM) OUTPUT BITMAP FLAGS
C LO - LOGICAL (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 41 INVALID NONGLOBAL INPUT GRID
C 42 INVALID SPECTRAL METHOD PARAMETERS
C
C SUBPROGRAMS CALLED:
C GDSWIZ GRID DESCRIPTION SECTION WIZARD
C SPTRUNV SPECTRALLY TRUNCATE GRIDDED VECTOR FIELDS
C SPTRUNSV SPECTRALLY INTERPOLATE VECTORS TO POLAR STEREO.
C SPTRUNMV SPECTRALLY INTERPOLATE VECTORS TO MERCATOR
C SPTRUNGV SPECTRALLY INTERPOLATE VECTORS TO STATIONS
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for movect.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: MOVECT MOVE A VECTOR ALONG A GREAT CIRCLE
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM PROVIDES THE ROTATION PARAMETERS
C TO MOVE A VECTOR ALONG A GREAT CIRCLE FROM ONE
C POSITION TO ANOTHER WHILE CONSERVING ITS ORIENTATION
C WITH RESPECT TO THE GREAT CIRCLE. THESE ROTATION
C PARAMETERS ARE USEFUL FOR VECTOR INTERPOLATION.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL MOVECT(FLAT,FLON,TLAT,TLON,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C FLAT - REAL LATITUDE IN DEGREES FROM WHICH TO MOVE THE VECTOR
C FLON - REAL LONGITUDE IN DEGREES FROM WHICH TO MOVE THE VECTOR
C TLAT - REAL LATITUDE IN DEGREES TO WHICH TO MOVE THE VECTOR
C TLON - REAL LONGITUDE IN DEGREES TO WHICH TO MOVE THE VECTOR
C
C OUTPUT ARGUMENT LIST:
C CROT - REAL CLOCKWISE VECTOR ROTATION COSINE
C SROT - REAL CLOCKWISE VECTOR ROTATION SINE
C (UTO=CROT*UFROM-SROT*VFROM;
C VTO=SROT*UFROM+CROT*VFROM)
C
C REMARKS: THIS SUBPROGRAM IS CORRECT TO SEVEN DIGITS ON THE CRAYS.
C USE DOUBLE PRECISION IF BETTER PRECISION IS REQUIRED.
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for polfixv.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: POLFIXV MAKE MULTIPLE POLE VECTOR VALUES CONSISTENT
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM AVERAGES MULTIPLE POLE VECTOR VALUES
C ON A LATITUDE/LONGITUDE GRID. BITMAPS MAY BE AVERAGED TOO.
C VECTORS ARE ROTATED WITH RESPECT TO THEIR LONGITUDE.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL POLFIXV(NM,NX,KM,RLAT,RLON,IB,LO,UO,VO)
C
C INPUT ARGUMENT LIST:
C NO - INTEGER NUMBER OF GRID POINTS
C NX - INTEGER LEADING DIMENSION OF FIELDS
C KM - INTEGER NUMBER OF FIELDS
C RLAT - REAL (NO) LATITUDES IN DEGREES
C RLON - REAL (NO) LONGITUDES IN DEGREES
C IB - INTEGER (KM) BITMAP FLAGS
C LO - LOGICAL (NX,KM) BITMAPS (IF RESPECTIVE IB(K)=1)
C UO - REAL (NX,KM) U-WINDS
C VO - REAL (NX,KM) V-WINDS
C
C OUTPUT ARGUMENT LIST:
C LO - LOGICAL (NX,KM) BITMAPS (IF RESPECTIVE IB(K)=1)
C UO - REAL (NX,KM) U-WINDS
C VO - REAL (NX,KM) V-WINDS
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gdswiz.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GDSWIZ GRID DESCRIPTION SECTION WIZARD
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63)
C AND RETURNS ONE OF THE FOLLOWING:
C (IOPT= 0) GRID AND EARTH COORDINATES OF ALL GRID POINTS
C (IOPT=+1) EARTH COORDINATES OF SELECTED GRID COORDINATES
C (IOPT=-1) GRID COORDINATES OF SELECTED EARTH COORDINATES
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 IF THE SELECTED COORDINATES ARE MORE THAN ONE GRIDPOINT
C BEYOND THE THE EDGES OF THE GRID DOMAIN, THEN THE RELEVANT
C OUTPUT ELEMENTS ARE SET TO FILL VALUES. ALSO IF IOPT=0,
C IF THE NUMBER OF GRID POINTS EXCEEDS THE NUMBER ALLOTTED,
C THEN ALL THE OUTPUT ELEMENTS ARE SET TO FILL VALUES.
C THE ACTUAL NUMBER OF VALID POINTS COMPUTED IS RETURNED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL GDSWIZ(KGDS,IOPT,NPTS,FILL,XPTS,YPTS,RLON,RLAT,NRET,
C & LROT,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C IOPT - INTEGER OPTION FLAG
C ( 0 TO COMPUTE EARTH COORDS OF ALL THE GRID POINTS)
C (+1 TO COMPUTE EARTH COORDS OF SELECTED GRID COORDS)
C (-1 TO COMPUTE GRID COORDS OF SELECTED EARTH COORDS)
C NPTS - INTEGER MAXIMUM NUMBER OF COORDINATES
C FILL - REAL FILL VALUE TO SET INVALID OUTPUT DATA
C (MUST BE IMPOSSIBLE VALUE; SUGGESTED VALUE: -9999.)
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT>0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT>0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT<0
C (ACCEPTABLE RANGE: -360. TO 360.)
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT<0
C (ACCEPTABLE RANGE: -90. TO 90.)
C LROT - INTEGER FLAG TO RETURN VECTOR ROTATIONS IF 1
C
C OUTPUT ARGUMENT LIST:
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT<=0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT<=0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT>=0
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT>=0
C NRET - INTEGER NUMBER OF VALID POINTS COMPUTED
C (-1 IF PROJECTION UNRECOGNIZED)
C CROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION COSINES IF LROT=1
C SROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION SINES IF LROT=1
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C
C SUBPROGRAMS CALLED:
C GDSWIZ00 GDS WIZARD FOR EQUIDISTANT CYLINDRICAL
C GDSWIZ01 GDS WIZARD FOR MERCATOR CYLINDRICAL
C GDSWIZ03 GDS WIZARD FOR LAMBERT CONFORMAL CONICAL
C GDSWIZ04 GDS WIZARD FOR GAUSSIAN CYLINDRICAL
C GDSWIZ05 GDS WIZARD FOR POLAR STEREOGRAPHIC AZIMUTHAL
C GDSWIZCA GDS WIZARD FOR ROTATED EQUIDISTANT CYLINDRICAL
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gdswiz00.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GDSWIZ00 GDS WIZARD FOR EQUIDISTANT CYLINDRICAL
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63)
C AND RETURNS ONE OF THE FOLLOWING:
C (IOPT=+1) EARTH COORDINATES OF SELECTED GRID COORDINATES
C (IOPT=-1) GRID COORDINATES OF SELECTED EARTH COORDINATES
C FOR EQUIDISTANT CYLINDRICAL PROJECTIONS.
C IF THE SELECTED COORDINATES ARE MORE THAN ONE GRIDPOINT
C BEYOND THE THE EDGES OF THE GRID DOMAIN, THEN THE RELEVANT
C OUTPUT ELEMENTS ARE SET TO FILL VALUES.
C THE ACTUAL NUMBER OF VALID POINTS COMPUTED IS RETURNED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL GDSWIZ00(KGDS,IOPT,NPTS,FILL,XPTS,YPTS,RLON,RLAT,NRET,
C & LROT,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C IOPT - INTEGER OPTION FLAG
C (+1 TO COMPUTE EARTH COORDS OF SELECTED GRID COORDS)
C (-1 TO COMPUTE GRID COORDS OF SELECTED EARTH COORDS)
C NPTS - INTEGER MAXIMUM NUMBER OF COORDINATES
C FILL - REAL FILL VALUE TO SET INVALID OUTPUT DATA
C (MUST BE IMPOSSIBLE VALUE; SUGGESTED VALUE: -9999.)
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT>0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT>0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT<0
C (ACCEPTABLE RANGE: -360. TO 360.)
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT<0
C (ACCEPTABLE RANGE: -90. TO 90.)
C LROT - INTEGER FLAG TO RETURN VECTOR ROTATIONS IF 1
C
C OUTPUT ARGUMENT LIST:
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT<0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT<0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT>0
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT>0
C NRET - INTEGER NUMBER OF VALID POINTS COMPUTED
C CROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION COSINES IF LROT=1
C SROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION SINES IF LROT=1
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gdswiz01.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GDSWIZ01 GDS WIZARD FOR MERCATOR CYLINDRICAL
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63)
C AND RETURNS ONE OF THE FOLLOWING:
C (IOPT=+1) EARTH COORDINATES OF SELECTED GRID COORDINATES
C (IOPT=-1) GRID COORDINATES OF SELECTED EARTH COORDINATES
C FOR MERCATOR CYLINDRICAL PROJECTIONS.
C IF THE SELECTED COORDINATES ARE MORE THAN ONE GRIDPOINT
C BEYOND THE THE EDGES OF THE GRID DOMAIN, THEN THE RELEVANT
C OUTPUT ELEMENTS ARE SET TO FILL VALUES.
C THE ACTUAL NUMBER OF VALID POINTS COMPUTED IS RETURNED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL GDSWIZ01(KGDS,IOPT,NPTS,FILL,XPTS,YPTS,RLON,RLAT,NRET,
C & LROT,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C IOPT - INTEGER OPTION FLAG
C (+1 TO COMPUTE EARTH COORDS OF SELECTED GRID COORDS)
C (-1 TO COMPUTE GRID COORDS OF SELECTED EARTH COORDS)
C NPTS - INTEGER MAXIMUM NUMBER OF COORDINATES
C FILL - REAL FILL VALUE TO SET INVALID OUTPUT DATA
C (MUST BE IMPOSSIBLE VALUE; SUGGESTED VALUE: -9999.)
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT>0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT>0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT<0
C (ACCEPTABLE RANGE: -360. TO 360.)
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT<0
C (ACCEPTABLE RANGE: -90. TO 90.)
C LROT - INTEGER FLAG TO RETURN VECTOR ROTATIONS IF 1
C
C OUTPUT ARGUMENT LIST:
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT<0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT<0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT>0
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT>0
C NRET - INTEGER NUMBER OF VALID POINTS COMPUTED
C CROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION COSINES IF LROT=1
C SROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION SINES IF LROT=1
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gdswiz03.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GDSWIZ03 GDS WIZARD FOR LAMBERT CONFORMAL CONICAL
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63)
C AND RETURNS ONE OF THE FOLLOWING:
C (IOPT=+1) EARTH COORDINATES OF SELECTED GRID COORDINATES
C (IOPT=-1) GRID COORDINATES OF SELECTED EARTH COORDINATES
C FOR LAMBERT CONFORMAL CONICAL PROJECTIONS.
C IF THE SELECTED COORDINATES ARE MORE THAN ONE GRIDPOINT
C BEYOND THE THE EDGES OF THE GRID DOMAIN, THEN THE RELEVANT
C OUTPUT ELEMENTS ARE SET TO FILL VALUES.
C THE ACTUAL NUMBER OF VALID POINTS COMPUTED IS RETURNED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL GDSWIZ03(KGDS,IOPT,NPTS,FILL,XPTS,YPTS,RLON,RLAT,NRET,
C & LROT,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C IOPT - INTEGER OPTION FLAG
C (+1 TO COMPUTE EARTH COORDS OF SELECTED GRID COORDS)
C (-1 TO COMPUTE GRID COORDS OF SELECTED EARTH COORDS)
C NPTS - INTEGER MAXIMUM NUMBER OF COORDINATES
C FILL - REAL FILL VALUE TO SET INVALID OUTPUT DATA
C (MUST BE IMPOSSIBLE VALUE; SUGGESTED VALUE: -9999.)
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT>0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT>0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT<0
C (ACCEPTABLE RANGE: -360. TO 360.)
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT<0
C (ACCEPTABLE RANGE: -90. TO 90.)
C LROT - INTEGER FLAG TO RETURN VECTOR ROTATIONS IF 1
C
C OUTPUT ARGUMENT LIST:
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT<0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT<0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT>0
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT>0
C NRET - INTEGER NUMBER OF VALID POINTS COMPUTED
C CROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION COSINES IF LROT=1
C SROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION SINES IF LROT=1
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gdswiz04.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GDSWIZ04 GDS WIZARD FOR GAUSSIAN CYLINDRICAL
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63)
C AND RETURNS ONE OF THE FOLLOWING:
C (IOPT=+1) EARTH COORDINATES OF SELECTED GRID COORDINATES
C (IOPT=-1) GRID COORDINATES OF SELECTED EARTH COORDINATES
C FOR GAUSSIAN CYLINDRICAL PROJECTIONS.
C IF THE SELECTED COORDINATES ARE MORE THAN ONE GRIDPOINT
C BEYOND THE THE EDGES OF THE GRID DOMAIN, THEN THE RELEVANT
C OUTPUT ELEMENTS ARE SET TO FILL VALUES.
C THE ACTUAL NUMBER OF VALID POINTS COMPUTED IS RETURNED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL GDSWIZ04(KGDS,IOPT,NPTS,FILL,XPTS,YPTS,RLON,RLAT,NRET,
C & LROT,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C IOPT - INTEGER OPTION FLAG
C (+1 TO COMPUTE EARTH COORDS OF SELECTED GRID COORDS)
C (-1 TO COMPUTE GRID COORDS OF SELECTED EARTH COORDS)
C NPTS - INTEGER MAXIMUM NUMBER OF COORDINATES
C FILL - REAL FILL VALUE TO SET INVALID OUTPUT DATA
C (MUST BE IMPOSSIBLE VALUE; SUGGESTED VALUE: -9999.)
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT>0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT>0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT<0
C (ACCEPTABLE RANGE: -360. TO 360.)
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT<0
C (ACCEPTABLE RANGE: -90. TO 90.)
C LROT - INTEGER FLAG TO RETURN VECTOR ROTATIONS IF 1
C
C OUTPUT ARGUMENT LIST:
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT<0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT<0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT>0
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT>0
C NRET - INTEGER NUMBER OF VALID POINTS COMPUTED
C CROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION COSINES IF LROT=1
C SROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION SINES IF LROT=1
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C
C SUBPROGRAMS CALLED:
C GAUSSLAT COMPUTE GAUSSIAN LATITUDES
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gausslat.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GAUSSLAT COMPUTE GAUSSIAN LATITUDES
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 92-04-16
C
C ABSTRACT: COMPUTES COSINES OF COLATITUDE AND GAUSSIAN WEIGHTS
C ON THE GAUSSIAN LATITUDES. THE GAUSSIAN LATITUDES ARE AT
C THE ZEROES OF THE LEGENDRE POLYNOMIAL OF THE GIVEN ORDER.
C
C PROGRAM HISTORY LOG:
C 92-04-16 IREDELL
C
C USAGE: CALL GAUSSLAT(JMAX,SLAT,WLAT)
C
C INPUT ARGUMENT LIST:
C JMAX - INPUT NUMBER OF LATITUDES.
C
C OUTPUT ARGUMENT LIST:
C SLAT - REAL (K) COSINES OF COLATITUDE.
C WLAT - REAL (K) GAUSSIAN WEIGHTS.
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gdswiz05.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GDSWIZ05 GDS WIZARD FOR POLAR STEREOGRAPHIC AZIMUTHAL
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63)
C AND RETURNS ONE OF THE FOLLOWING:
C (IOPT=+1) EARTH COORDINATES OF SELECTED GRID COORDINATES
C (IOPT=-1) GRID COORDINATES OF SELECTED EARTH COORDINATES
C FOR POLAR STEREOGRAPHIC AZIMUTHAL PROJECTIONS.
C IF THE SELECTED COORDINATES ARE MORE THAN ONE GRIDPOINT
C BEYOND THE THE EDGES OF THE GRID DOMAIN, THEN THE RELEVANT
C OUTPUT ELEMENTS ARE SET TO FILL VALUES.
C THE ACTUAL NUMBER OF VALID POINTS COMPUTED IS RETURNED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL GDSWIZ05(KGDS,IOPT,NPTS,FILL,XPTS,YPTS,RLON,RLAT,NRET,
C & LROT,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C IOPT - INTEGER OPTION FLAG
C (+1 TO COMPUTE EARTH COORDS OF SELECTED GRID COORDS)
C (-1 TO COMPUTE GRID COORDS OF SELECTED EARTH COORDS)
C NPTS - INTEGER MAXIMUM NUMBER OF COORDINATES
C FILL - REAL FILL VALUE TO SET INVALID OUTPUT DATA
C (MUST BE IMPOSSIBLE VALUE; SUGGESTED VALUE: -9999.)
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT>0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT>0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT<0
C (ACCEPTABLE RANGE: -360. TO 360.)
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT<0
C (ACCEPTABLE RANGE: -90. TO 90.)
C LROT - INTEGER FLAG TO RETURN VECTOR ROTATIONS IF 1
C
C OUTPUT ARGUMENT LIST:
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT<0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT<0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT>0
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT>0
C NRET - INTEGER NUMBER OF VALID POINTS COMPUTED
C CROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION COSINES IF LROT=1
C SROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION SINES IF LROT=1
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for gdswizca.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: GDSWIZCA GDS WIZARD FOR ROTATED EQUIDISTANT CYLINDRICAL
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C (PASSED IN INTEGER FORM AS DECODED BY SUBPROGRAM W3FI63)
C AND RETURNS ONE OF THE FOLLOWING:
C (IOPT=+1) EARTH COORDINATES OF SELECTED GRID COORDINATES
C (IOPT=-1) GRID COORDINATES OF SELECTED EARTH COORDINATES
C FOR ROTATED EQUIDISTANT CYLINDRICAL PROJECTIONS.
C IF THE SELECTED COORDINATES ARE MORE THAN ONE GRIDPOINT
C BEYOND THE THE EDGES OF THE GRID DOMAIN, THEN THE RELEVANT
C OUTPUT ELEMENTS ARE SET TO FILL VALUES.
C THE ACTUAL NUMBER OF VALID POINTS COMPUTED IS RETURNED TOO.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL GDSWIZCA(KGDS,IOPT,NPTS,FILL,XPTS,YPTS,RLON,RLAT,NRET,
C & LROT,CROT,SROT)
C
C INPUT ARGUMENT LIST:
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C IOPT - INTEGER OPTION FLAG
C (+1 TO COMPUTE EARTH COORDS OF SELECTED GRID COORDS)
C (-1 TO COMPUTE GRID COORDS OF SELECTED EARTH COORDS)
C NPTS - INTEGER MAXIMUM NUMBER OF COORDINATES
C FILL - REAL FILL VALUE TO SET INVALID OUTPUT DATA
C (MUST BE IMPOSSIBLE VALUE; SUGGESTED VALUE: -9999.)
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT>0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT>0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT<0
C (ACCEPTABLE RANGE: -360. TO 360.)
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT<0
C (ACCEPTABLE RANGE: -90. TO 90.)
C LROT - INTEGER FLAG TO RETURN VECTOR ROTATIONS IF 1
C
C OUTPUT ARGUMENT LIST:
C XPTS - REAL (NPTS) GRID X POINT COORDINATES IF IOPT<0
C YPTS - REAL (NPTS) GRID Y POINT COORDINATES IF IOPT<0
C RLON - REAL (NPTS) EARTH LONGITUDES IN DEGREES E IF IOPT>0
C RLAT - REAL (NPTS) EARTH LATITUDES IN DEGREES N IF IOPT>0
C NRET - INTEGER NUMBER OF VALID POINTS COMPUTED
C CROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION COSINES IF LROT=1
C SROT - REAL (NPTS) CLOCKWISE VECTOR ROTATION SINES IF LROT=1
C (UGRID=CROT*UEARTH-SROT*VEARTH;
C VGRID=SROT*UEARTH+CROT*VEARTH)
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for ijkgds.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: IJKGDS RETURN FIELD POSITION FOR A GIVEN GRID POINT
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM DECODES THE GRIB GRID DESCRIPTION SECTION
C AND RETURNS THE FIELD POSITION FOR A GIVEN GRID POINT.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: ...IJKGDS(I,J,KGDS)
C
C INPUT ARGUMENT LIST:
C I - INTEGER X GRID POINT
C J - INTEGER Y GRID POINT
C KGDS - INTEGER (22) GDS PARAMETERS AS DECODED BY W3FI63
C
C OUTPUT ARGUMENT LIST:
C IJKGDS - INTEGER POSITION IN GRIB FIELD TO LOCATE GRID POINT
C (0 IF OUT OF BOUNDS)
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for makgds.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: MAKGDS MAKE OR BREAK A GRID DESCRIPTION SECTION
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM MAKES OR BREAKS A GRID DESCRIPTION SECTION.
C IT CAN DO ONE OF THE FOLLOWING:
C (IOPT=-1) UNPACK A GDS INTO W3FI63 KGDS INTEGER FORM
C (IOPT=255) PACK A GDS FROM W3FI63 KGDS INTEGER FORM
C (00)
C LENGDS - INTEGER LENGTH OF THE GDS (IF IOPT>0)
C IRET - INTEGER RETURN CODE
C 0 SUCCESSFUL
C 1 GRID REPRESENTATION TYPE NOT VALID
C 4 DATA REPRESENTATION TYPE NOT CURRENTLY ACCEPTABLE
C
C REMARKS: THE KGDS PARAMETERS ARE DESCRIBED BELOW
C AS COPIED FROM THE W3FI63 DOCBLOCK.
C (1) - DATA REPRESENTATION TYPE
C (19) - NUMBER OF VERTICAL COORDINATE PARAMETERS
C (20) - OCTET NUMBER OF THE LIST OF VERTICAL COORDINATE
C PARAMETERS
C OR
C OCTET NUMBER OF THE LIST OF NUMBERS OF POINTS
C IN EACH ROW
C OR
C 255 IF NEITHER ARE PRESENT
C (21) - FOR GRIDS WITH PL, NUMBER OF POINTS IN GRID
C (22) - NUMBER OF WORDS IN EACH ROW
C LATITUDE/LONGITUDE GRIDS
C (2) - N(I) NR POINTS ON LATITUDE CIRCLE
C (3) - N(J) NR POINTS ON LONGITUDE MERIDIAN
C (4) - LA(1) LATITUDE OF ORIGIN
C (5) - LO(1) LONGITUDE OF ORIGIN
C (6) - RESOLUTION FLAG (RIGHT ADJ COPY OF OCTET 17)
C (7) - LA(2) LATITUDE OF EXTREME POINT
C (8) - LO(2) LONGITUDE OF EXTREME POINT
C (9) - DI LATITUDINAL DIRECTION OF INCREMENT
C (10) - DJ LONGITUDINAL DIRECTION INCREMENT
C (11) - SCANNING MODE FLAG (RIGHT ADJ COPY OF OCTET 28)
C GAUSSIAN GRIDS
C (2) - N(I) NR POINTS ON LATITUDE CIRCLE
C (3) - N(J) NR POINTS ON LONGITUDE MERIDIAN
C (4) - LA(1) LATITUDE OF ORIGIN
C (5) - LO(1) LONGITUDE OF ORIGIN
C (6) - RESOLUTION FLAG (RIGHT ADJ COPY OF OCTET 17)
C (7) - LA(2) LATITUDE OF EXTREME POINT
C (8) - LO(2) LONGITUDE OF EXTREME POINT
C (9) - DI LATITUDINAL DIRECTION OF INCREMENT
C (10) - N - NR OF CIRCLES POLE TO EQUATOR
C (11) - SCANNING MODE FLAG (RIGHT ADJ COPY OF OCTET 28)
C (12) - NV - NR OF VERT COORD PARAMETERS
C (13) - PV - OCTET NR OF LIST OF VERT COORD PARAMETERS
C OR
C PL - LOCATION OF THE LIST OF NUMBERS OF POINTS IN
C EACH ROW (IF NO VERT COORD PARAMETERS
C ARE PRESENT
C OR
C 255 IF NEITHER ARE PRESENT
C POLAR STEREOGRAPHIC GRIDS
C (2) - N(I) NR POINTS ALONG LAT CIRCLE
C (3) - N(J) NR POINTS ALONG LON CIRCLE
C (4) - LA(1) LATITUDE OF ORIGIN
C (5) - LO(1) LONGITUDE OF ORIGIN
C (6) - RESOLUTION FLAG (RIGHT ADJ COPY OF OCTET 17)
C (7) - LOV GRID ORIENTATION
C (8) - DX - X DIRECTION INCREMENT
C (9) - DY - Y DIRECTION INCREMENT
C (10) - PROJECTION CENTER FLAG
C (11) - SCANNING MODE (RIGHT ADJ COPY OF OCTET 28)
C SPHERICAL HARMONIC COEFFICIENTS
C (2) - J PENTAGONAL RESOLUTION PARAMETER
C (3) - K " " "
C (4) - M " " "
C (5) - REPRESENTATION TYPE
C (6) - COEFFICIENT STORAGE MODE
C MERCATOR GRIDS
C (2) - N(I) NR POINTS ON LATITUDE CIRCLE
C (3) - N(J) NR POINTS ON LONGITUDE MERIDIAN
C (4) - LA(1) LATITUDE OF ORIGIN
C (5) - LO(1) LONGITUDE OF ORIGIN
C (6) - RESOLUTION FLAG (RIGHT ADJ COPY OF OCTET 17)
C (7) - LA(2) LATITUDE OF LAST GRID POINT
C (8) - LO(2) LONGITUDE OF LAST GRID POINT
C (9) - LATIT - LATITUDE OF PROJECTION INTERSECTION
C (10) - RESERVED
C (11) - SCANNING MODE FLAG (RIGHT ADJ COPY OF OCTET 28)
C (12) - LONGITUDINAL DIR GRID LENGTH
C (13) - LATITUDINAL DIR GRID LENGTH
C LAMBERT CONFORMAL GRIDS
C (2) - NX NR POINTS ALONG X-AXIS
C (3) - NY NR POINTS ALONG Y-AXIS
C (4) - LA1 LAT OF ORIGIN (LOWER LEFT)
C (5) - LO1 LON OF ORIGIN (LOWER LEFT)
C (6) - RESOLUTION (RIGHT ADJ COPY OF OCTET 17)
C (7) - LOV - ORIENTATION OF GRID
C (8) - DX - X-DIR INCREMENT
C (9) - DY - Y-DIR INCREMENT
C (10) - PROJECTION CENTER FLAG
C (11) - SCANNING MODE FLAG (RIGHT ADJ COPY OF OCTET 28)
C (12) - LATIN 1 - FIRST LAT FROM POLE OF SECANT CONE INTER
C (13) - LATIN 2 - SECOND LAT FROM POLE OF SECANT CONE INTER
C
C SUBPROGRAMS CALLED:
C FI633 EXTRACT INFO FROM GRIB-GDS
C R63W72 CONVERT W3FI63 PARMS TO W3FI72 PARMS
C W3FI71 MAKE ARRAY USED BY GRIB PACKER FOR GDS
C W3FI74 CONSTRUCT GRID DEFINITION SECTION (GDS)
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for ipxwafs.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: IPXWAFS EXPAND OR CONTRACT WAFS GRIDS
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM TRANSFORMS BETWEEN THE THINNED WAFS GRIDS
C AS USED FOR TRANSMITTING TO THE AVIATION COMMUNITY
C AND THEIR FULL EXPANSION AS USED FOR GENERAL INTERPOLATION
C AND GRAPHICS. THE WAFS GRIDS ARE LATITUDE-LONGITUDE GRIDS
C THINNED ONLY IN THE ZONAL DIRECTION AS INDICATED
C BY THE PL PARAMETERS IN THE GRIB GRID DESCRIPTION SECTION.
C THE PL PARAMETERS MUST BE SUPPLIED FOR CONTRACTION
C (STARTING AT KGDS1(22)). OTHERWISE (IF KGDS1(22)<=0)
C GRID CONTRACTION IS PERFORMED SPECIFICALLY FOR
C THE 1.25 DEGREE NCEP WAFS GRID IDENTIFICATIONS 37-44.
C THE EXPANSION AND CONTRACTION OF THE FIELDS ARE DONE
C BY LINEAR INTERPOLATION, SO THAT THEY ARE NOT REVERSIBLE.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL IPXWAFS(IDIR,M1,M2,KM,KGDS1,F1,KGDS2,F2,IRET)
C
C INPUT ARGUMENT LIST:
C IDIR - INTEGER TRANSFORM OPTION
C (+1 TO EXPAND THINNED FIELDS TO FULL FIELDS)
C (-1 TO CONTRACT FULL FIELDS TO THINNED FIELDS)
C M1 - INTEGER SKIP NUMBER BETWEEN THINNED GRID FIELDS
C M2 - INTEGER SKIP NUMBER BETWEEN FULL GRID FIELDS
C KM - INTEGER NUMBER OF FIELDS TO TRANSFORM
C KGDS1 - INTEGER (200) GDS PARMS OF THINNED GRID IF IDIR>0
C (IF IDIR<0, THEN EITHER THE PL PARAMETERS STARTING AT
C KGDS1(22) MUST BE SUPPLIED OR IF KGDS1(22)<=0,
C THEN THE PL PARAMETERS DEFAULT TO THOSE FOR
C SPECIFIC NCEP WAFS GRIDS 37-44).
C F1 - REAL (M1,KM) THINNED GRID FIELDS IF IDIR>0
C KGDS2 - INTEGER (22) GDS PARMS OF FULL GRID IF IDIR<0
C F2 - REAL (M2,KM) FULL GRID FIELDS IF IDIR<0
C
C OUTPUT ARGUMENT LIST:
C KGDS1 - INTEGER (200) GDS PARMS OF THINNED GRID IF IDIR<0
C F1 - REAL (M1,KM) THINNED GRID FIELDS IF IDIR<0
C KGDS2 - INTEGER (22) GDS PARMS OF FULL GRID IF IDIR>0
C F2 - REAL (M2,KM) FULL GRID FIELDS IF IDIR>0
C IRET - INTEGER RETURN CODE
C 0 SUCCESSFUL TRANSFORMATION
C 1 IMPROPER GRID SPECIFICATION
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$
Docblock for ipxetas.
C$$$ SUBPROGRAM DOCUMENTATION BLOCK
C
C SUBPROGRAM: IPXETAS EXPAND OR CONTRACT ETA GRIDS
C PRGMMR: IREDELL ORG: W/NMC23 DATE: 96-04-10
C
C ABSTRACT: THIS SUBPROGRAM TRANSFORMS BETWEEN THE STAGGERED ETA GRIDS
C AS USED IN THE ETA MODEL AND FOR NATIVE GRID TRANSMISSION
C AND THEIR FULL EXPANSION AS USED FOR GENERAL INTERPOLATION
C AND GRAPHICS. THE ETA GRIDS ARE ROTATED LATITUDE-LONGITUDE
C GRIDS STAGGERED AS DEFINED BY THE ARAKAWA E-GRID, THAT IS
C WITH MASS DATA POINTS ALTERNATING WITH WIND DATA POINTS.
C THE EXPANSION OF THE FIELDS IS DONE BY 4-POINT AVERAGING.
C
C PROGRAM HISTORY LOG:
C 96-04-10 IREDELL
C
C USAGE: CALL IPXETAS(IDIR,M1,M2,KM,KGDS1,F1,KGDS2,F2,IRET)
C
C INPUT ARGUMENT LIST:
C IDIR - INTEGER TRANSFORM OPTION
C (+1 TO EXPAND STAGGERED MASS FIELDS TO FULL FIELDS)
C (+2 TO EXPAND STAGGERED WIND FIELDS TO FULL FIELDS)
C (-1 TO CONTRACT FULL MASS FIELDS TO STAGGERED FIELDS)
C (-2 TO CONTRACT FULL WIND FIELDS TO STAGGERED FIELDS)
C M1 - INTEGER SKIP NUMBER BETWEEN STAGGERED GRID FIELDS
C M2 - INTEGER SKIP NUMBER BETWEEN FULL GRID FIELDS
C KM - INTEGER NUMBER OF FIELDS TO TRANSFORM
C KGDS1 - INTEGER (22) GDS PARMS OF STAGGERED GRID IF IDIR>0
C F1 - REAL (M1,KM) STAGGERED GRID FIELDS IF IDIR>0
C KGDS2 - INTEGER (22) GDS PARMS OF FULL GRID IF IDIR<0
C F2 - REAL (M2,KM) FULL GRID FIELDS IF IDIR<0
C
C OUTPUT ARGUMENT LIST:
C KGDS1 - INTEGER (22) GDS PARMS OF STAGGERED GRID IF IDIR<0
C F1 - REAL (M1,KM) STAGGERED GRID FIELDS IF IDIR<0
C KGDS2 - INTEGER (22) GDS PARMS OF FULL GRID IF IDIR>0
C F2 - REAL (M2,KM) FULL GRID FIELDS IF IDIR>0
C IRET - INTEGER RETURN CODE
C 0 SUCCESSFUL TRANSFORMATION
C 1 IMPROPER GRID SPECIFICATION
C
C ATTRIBUTES:
C LANGUAGE: FORTRAN 77
C
C$$$