cppdraft_translate/cppdraft/sf/cmath/comp/ellint/1.md

[sf.cmath.comp.ellint.1]

29 Numerics library [numerics]

29.7 Mathematical functions for floating-point types [c.math]

29.7.6 Mathematical special functions [sf.cmath]

29.7.6.5 Complete elliptic integral of the first kind [sf.cmath.comp.ellint.1]

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floating-point-type comp_ellint_1(floating-point-type k); float comp_ellint_1f(float k); long double comp_ellint_1l(long double k);

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Effects: These functions compute the complete elliptic integral of the first kind of their respective argumentsk.

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Returns: K(k), where K is given by Formula 29.25 andk is k.

K(k)=F(k,π/2) , for |k|≤1(29.25)

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See also [sf.cmath.ellint.1].