Evaluate a complex function expressed in complex spherical harmonics at a single point.
value
= MakeGridPointC (cilm
, lmax
, lat
, lon
, norm
, csphase
, dealloc
)
value
: output, complex*16
: Value of the function at (lat
, lon
).
cilm
: input, complex*16, dimension (2, lmax
+1, lmax
+1)
: The complex spherical harmonic coefficients of the function. The coefficients C1lm
and C2lm
refer to the postive and negative angular orders, respectively, with Clm=cilm(1,l+1,m+1)
and Cl-m=cilm(2,l+1,m+1)
.
lmax
: input, integer
: The maximum spherical harmonic degree used in evaluating the function.
lat
: input, real*8
: The latitude of the point in DEGREES.
lon
: input, real*8
: 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.
MakeGridPointC
will expand a complex function expressed in complex 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.
makegridpoint, makegriddh, makegriddhc, makegridglq, makegridglqc