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#### Complete elliptic integral of the first kind <a id="sf.cmath.comp.ellint.1">[[sf.cmath.comp.ellint.1]]</a>
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``` cpp
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double comp_ellint_1(double k);
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float comp_ellint_1f(float k);
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long double comp_ellint_1l(long double k);
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```
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*Effects:* These functions compute the complete elliptic integral of the
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first kind of their respective arguments `k`.
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*Returns:*
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$$\mathsf{K}(k) = \mathsf{F}(k, \pi / 2) \text{ ,\quad for $|k| \le 1$,}$$
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where k is `k`.
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See also [[sf.cmath.ellint.1]].
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