29 Numerics library [numerics]

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

29.9.5 Mathematical special functions [sf.cmath]

29.9.5.12 Incomplete elliptic integral of the second kind [sf.cmath.ellint_2]

double ellint_2(double k, double phi); float ellint_2f(float k, float phi); long double ellint_2l(long double k, long double phi);

1
#

Effects: These functions compute the incomplete elliptic integral of the second kind of their respective arguments k and phi (phi measured in radians).

2
#

Returns:

E(k,ϕ)=∫ϕ0√1−k2sin2θdθ,for |k|≤1

where k is k and φ is phi.