Compute the latitude and longitude coordinates used in Gauss-Legendre quadrature grids.
call GLQGridCoord (latglq
, longlq
, lmax
, nlat
, nlong
, extend
, exitstatus
)
latglq
: output, real(dp), dimension (lmax
+1)
: The latitude coordinates of a Gauss-Legendred quadrature grid in degrees.
longlq
: output, real(dp), dimension (nlong)
: The longitude coordinates of a Gauss-Legendre quadrature grid in degrees, dimensioned as (2*lmax
+1) when extend
is 0 or (2*lmax
+2) when extend
is 1.
lmax
: input, integer(int32)
: The maximum spherical harmonic degree that will be integrated exactly by Gauss-Legendre quadrature.
nlat
: output, integer(int32)
: The number of samples in latitude.
nlong
: output, integer(int32)
: The number of samples in longitude.
extend
: input, optional, integer(int32), default = 0
: If 1, include 360 E longitude.
exitstatus
: output, optional, integer(int32)
: If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.
GLQGridCoord
will compute the latitude and longitude coordinates that are used in Gauss-Legendre quadrature grids for performing spherical harmonic transforms and reconstructions. The latitudinal nodes correspond to the zeros of the Legendre polynomial of degree lmax+1
, and the longitudinal nodes are equally spaced with an interval of 360/(2*lmax+1)
degrees.
shglq, shexpandglq, makegridglq, shexpandglqc, makegridglqc, preglq