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shcrosspowerl.1
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shcrosspowerl.1
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.\" Automatically generated by Pandoc 2.7.3
.\"
.TH "shcrosspowerl" "1" "2019-09-17" "Fortran 95" "SHTOOLS 4.5"
.hy
.SH SHCrossPowerL
.PP
Compute the cross-power of two real functions for a single spherical
harmonic degree.
.SH Usage
.PP
\f[C]cpower\f[R] = SHCrossPowerL (\f[C]cilm1\f[R], \f[C]cilm2\f[R],
\f[C]l\f[R])
.SH Parameters
.TP
.B \f[C]cpower\f[R] : output, real(dp)
The cross power of the two functions for spherical harmonic degree
\f[C]l\f[R].
.TP
.B \f[C]cilm1\f[R] : input, real(dp), dimension (2, \f[C]lmaxin1\f[R]+1, \f[C]lmaxin1\f[R]+1)
The spherical harmonic coefficients of the first function.
.TP
.B \f[C]cilm2\f[R] : input, real(dp), dimension (2, \f[C]lmaxin2\f[R]+1, \f[C]lmaxin2\f[R]+1)
The spherical harmonic coefficients of the second function.
.TP
.B \f[C]l\f[R] : input, integer
The spherical harmonic degree.
This must be less than or equal to the minimum of \f[C]lmaxin1\f[R] and
\f[C]lmaxin2\f[R].
.SH Description
.PP
\f[C]SHCrossPowerL\f[R] will calculate the cross-power of two functions
expressed in 4-pi normalized spherical harmonics for a single spherical
harmonic degree \f[C]l\f[R].
This is explicitly calculated as:
.PP
\f[C]cpower = Sum_{i=1}\[ha]2 Sum_{m=0}\[ha]l cilm1(i, l+1, m+1) * cilm2(i, l+1, m+1)\f[R].
.SH See also
.PP
shpowerl, shpowerdensityl, shcrosspowerdensityl, shpowerspectrum,
shpowerspectrumdensity, shcrosspowerspectrum,
shcrosspowerspectrumdensity, shadmitcorr