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shcrosspowerl.3
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shcrosspowerl.3
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.\" Automatically generated by Pandoc 3.1.3
.\"
.\" Define V font for inline verbatim, using C font in formats
.\" that render this, and otherwise B font.
.ie "\f[CB]x\f[]"x" \{\
. ftr V B
. ftr VI BI
. ftr VB B
. ftr VBI BI
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.el \{\
. ftr V CR
. ftr VI CI
. ftr VB CB
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.\}
.TH "shcrosspowerl" "1" "2021-02-15" "Fortran 95" "SHTOOLS 4.11"
.hy
.SH SHCrossPowerL
.PP
Compute the cross-power of two real functions for a single spherical
harmonic degree.
.SH Usage
.PP
\f[V]cpower\f[R] = SHCrossPowerL (\f[V]cilm1\f[R], \f[V]cilm2\f[R],
\f[V]l\f[R])
.SH Parameters
.TP
\f[V]cpower\f[R] : output, real(dp)
The cross power of the two functions for spherical harmonic degree
\f[V]l\f[R].
.TP
\f[V]cilm1\f[R] : input, real(dp), dimension (2, \f[V]lmaxin1\f[R]+1, \f[V]lmaxin1\f[R]+1)
The spherical harmonic coefficients of the first function.
.TP
\f[V]cilm2\f[R] : input, real(dp), dimension (2, \f[V]lmaxin2\f[R]+1, \f[V]lmaxin2\f[R]+1)
The spherical harmonic coefficients of the second function.
.TP
\f[V]l\f[R] : input, integer(int32)
The spherical harmonic degree.
This must be less than or equal to the minimum of \f[V]lmaxin1\f[R] and
\f[V]lmaxin2\f[R].
.SH Description
.PP
\f[V]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[V]l\f[R].
This is explicitly calculated as:
.PP
\f[V]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