airyai airyaid airybi airybid cairy cbiry

cbiry() void cbiry ( doublecomplex  z, int  id, int  kode, doublecomplex *  bi, int *  info  ) Computes the Airy function Bi(z) or its derivative Bi'(z) (complex argument) Purpose cbiry computes the Airy function Bi(z) or its derivative Bi'(z). Bi(z) = (1/π) * ∫ (sin((1/3)t^3 + zt) + exp(-(1/3)t^3 + zt)) dt [0, ∞] A scaling option is available to help avoid overflow. Parameters [in] z Argument z. [in] id Order of derivative. = 0: Bi(z) is computed. = 1: Bi'(z) is computed. [in] kode A parameter to indicate the scaling option. = 1: No scaling. = 2: Returns exponentially scaled value. [out] bi Airy function Bi(z) or its derivative Bi'(z). If kode = 2, bi is scaled by exp(-|re((2/3)*z^(3/2))|). If info < 0, returns bi = 0. [out] info = 0: Successful exit. = -2: The argument id had an illegal value. (id != 0 and id != 1) = -3: The argument kode had an illegal value. (kode != 1 and kode != 2) = 2: Precision warning. (Half precision or less) = 3: Precision error. (No precision) = 4: Overflow re(z) too large on kode = 1. Reference SLATEC