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#### Legendre polynomials <a id="sf.cmath.legendre">[[sf.cmath.legendre]]</a>
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``` cpp
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double legendre(unsigned l, double x);
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float legendref(unsigned l, float x);
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long double legendrel(unsigned l, long double x);
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```
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*Effects:* These functions compute the Legendre polynomials of their
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respective arguments `l` and `x`.
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*Returns:* $$%
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\mathsf{P}_\ell(x) =
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\frac{1}
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{2^\ell \, \ell!}
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\frac{ \mathsf{d} ^ \ell}
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{ \mathsf{d}x ^ \ell} \, (x^2 - 1) ^ \ell,
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\quad \mbox{for $|x| \le 1$}$$ where l is `l` and x is `x`.
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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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