Celli1 Celli2 Celli3 Elli1 Elli2 Elli3 Jzeta Rc Rd Rf Rg Rj

Celli1() Function Celli1 ( K As  Double, Optional Info As  Long  ) Complete elliptic integral of the first kind K(k) Purpose This routine computes the Legendre form of complete elliptic integral of the first kind K(k). K(k) = F(π/2, k) where F(φ, k) is the incomplete elliptic integral of the first kind defined as follows. F(φ, k) = ∫ 1/sqrt(1 - k^2(sin(t))^2) dt [0, φ] Returns Double Complete elliptic integral of the first kind K(k). Parameters [in] K Argument k. (-1 < K < 1) [out] Info (Optional) = 0: Successful exit. = -1: The argument K had an illegal value. (K <= -1 or K >= 1) = 1: Floating point range error. Reference boost/math/special_functions