Compute the cross-power spectrum of two complex functions.
call SHCrossPowerSpectrumC (cilm1, cilm2, lmax, cspectrum)
cilm1 : input, complex*16, dimension (2, lmaxin1+1, lmaxin1+1)
: The complex spherical harmonics of the first complex function.
cilm2 : input, complex*16, dimension (2, lmaxin2+1, lmaxin2+1)
: The complex spherical harmonics of the second complex function.
lmax : input, integer
: The maximum spherical harmonic degree of the cross power spectrum. This must be less than or equal to the minimum of lmaxin1 and lmaxin2.
cspectrum : output, complex*16, dimension (lmax+1)
: The cross-power spectrum of the two complex functions.
SHCrossPowerSpectrumC will calculate the cross-power spectrum of two complex functions expressed in complex spherical harmonics. For a given spherical harmonic degree l, this is calculated as:
cspectrum(l) = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * conjg[cilm2(i, l+1, m+1)].
shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumdensityc