1.1 KiB
1.1 KiB
[sf.cmath.ellint.1]
29 Numerics library [numerics]
29.7 Mathematical functions for floating-point types [c.math]
29.7.6 Mathematical special functions [sf.cmath]
29.7.6.12 Incomplete elliptic integral of the first kind [sf.cmath.ellint.1]
floating-point-type ellint_1(floating-point-type k, floating-point-type phi); float ellint_1f(float k, float phi); long double ellint_1l(long double k, long double phi);
Effects: These functions compute the incomplete elliptic integral of the first kind of their respective argumentsk and phi (phi measured in radians).
Returns: F(k, Ï), where F is given by Formula 29.32,k is k, andÏ is phi.
F(k,Ï)=â«Ï0dθâ1âk2sin2θ , for |k|â¤1(29.32)