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#### Spherical associated Legendre functions <a id="sf.cmath.sph.legendre">[[sf.cmath.sph.legendre]]</a>
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``` cpp
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double sph_legendre(unsigned l, unsigned m, double theta);
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float sph_legendref(unsigned l, unsigned m, float theta);
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long double sph_legendrel(unsigned l, unsigned m, long double theta);
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```
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*Effects:* These functions compute the spherical associated Legendre
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functions of their respective arguments `l`, `m`, and `theta` (`theta`
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measured in radians).
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*Returns:* $$\mathsf{Y}_\ell^m(\theta, 0)$$ where
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$$\mathsf{Y}_\ell^m(\theta, \phi) =
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(-1)^m \left[\frac{(2 \ell + 1)}{4 \pi} \frac{(\ell - m)!}{(\ell + m)!}\right]^{1/2}
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\mathsf{P}_\ell^m (\cos\theta) e^{i m \phi}
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\text{ ,\quad for $|m| \le \ell$,}$$ and l is `l`, m is `m`, and θ
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is `theta`.
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*Remarks:* The effect of calling each of these functions is
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*implementation-defined* if `l >= 128`.
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See also [[sf.cmath.assoc.legendre]].
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