Evaluate a real function expressed in real spherical harmonics at a single point.
value = MakeGridPoint (cilm, lmax, lat, lon, norm, csphase, dealloc)
value : output, real(dp)
: Value of the function at (lat, lon).
cilm : input, real(dp), dimension (2, lmax+1, lmax+1)
: The real spherical harmonic coefficients of the function. The coefficients C1lm and C2lm refer to the cosine (Clm) and sine (Slm) coefficients, respectively, with Clm=cilm(1,l+1,m+1) and Slm=cilm(2,l+1,m+1).
lmax : input, integer
: The maximum spherical harmonic degree used in evaluating the function.
lat : input, real(dp)
: The latitude of the point in DEGREES.
lon : input, real(dp)
: The longitude of the point in DEGREES.
norm : input, optional, integer, default = 1
: 1 (default) = Geodesy 4-pi normalized harmonics; 2 = Schmidt semi-normalized harmonics; 3 = unnormalized harmonics; 4 = orthonormal harmonics.
csphase : input, optional, integer, default = 1
: 1 (default) = do not apply the Condon-Shortley phase factor to the associated Legendre functions; -1 = append the Condon-Shortley phase factor of (-1)^m to the associated Legendre functions.
dealloc : input, optional, integer, default = 0
: 0 (default) = Save variables used in the external Legendre function calls. (1) Deallocate this memory at the end of the funcion call.
MakeGridPoint will expand a function expressed in spherical harmonics at a single point. The input latitude and longitude are in degrees. The employed spherical harmonic normalization and Condon-Shortley phase convention can be set by the optional arguments norm and csphase; if not set, the default is to use geodesy 4-pi normalized harmonics that exclude the Condon-Shortley phase of (-1)^m.
makegridpointc, makegriddh, makegriddhc, makegridglq, makegridglqc