double sph_legendre(unsigned l, unsigned m, double theta); float sph_legendref(unsigned l, unsigned m, float theta); long double sph_legendrel(unsigned l, unsigned m, long double theta);
Effects: These functions compute the spherical associated Legendre functions of their respective arguments l, m, and theta (theta measured in radians).
Returns:
Ymℓ(θ,0)
where
Ymℓ(θ,ϕ)=(−1)m[(2ℓ+1)4π(ℓ−m)!(ℓ+m)!]1/2Pmℓ(cosθ)eimϕ,for |m|≤ℓ
and l is l, m is m, and θ is theta.
Remarks: The effect of calling each of these functions is implementation-defined if l >= 128.
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