function [ n_data, x, fx ] = airy_hi_values ( n_data ) %% AIRY_HI_VALUES returns some values of the Airy Hi function. % % Discussion: % % The function is defined by: % % AIRY_HI(x) = Integral ( 0 <= t < infinity ) exp(x*t-t^3/3) dt / pi % % The data was reported by McLeod. % % Modified: % % 15 September 2004 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % Allan McLeod, % Algorithm 757, MISCFUN: A software package to compute uncommon % special functions, % ACM Transactions on Mathematical Software, % Volume 22, Number 3, September 1996, pages 288-301. % % Parameters: % % Input/output, integer N_DATA. The user sets N_DATA to 0 before the % first call. On each call, the routine increments N_DATA by 1, and % returns the corresponding data; when there is no more data, the % output value of N_DATA will be 0 again. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 20; fx_vec = [ ... 0.40936798278458884024E+00, ... 0.37495291608048868619E+00, ... 0.22066960679295989454E+00, ... 0.77565356679703713590E-01, ... 0.39638826473124717315E-01, ... 0.38450072575004151871E-01, ... 0.35273216868317898556E-01, ... 0.31768535282502272742E-01, ... 0.28894408288051391369E-01, ... 0.24463284011678541180E-01, ... 0.41053540139998941517E+00, ... 0.44993502381204990817E+00, ... 0.97220515514243332184E+00, ... 0.83764237105104371193E+02, ... 0.80327744952044756016E+05, ... 0.15514138847749108298E+06, ... 0.11995859641733262114E+07, ... 0.21472868855967642259E+08, ... 0.45564115351632913590E+09, ... 0.32980722582904761929E+12 ]; x_vec = [ ... -0.0019531250E+00, ... -0.1250000000E+00, ... -1.0000000000E+00, ... -4.0000000000E+00, ... -8.0000000000E+00, ... -8.2500000000E+00, ... -9.0000000000E+00, ... -10.0000000000E+00, ... -11.0000000000E+00, ... -13.0000000000E+00, ... 0.0019531250E+00, ... 0.1250000000E+00, ... 1.0000000000E+00, ... 4.0000000000E+00, ... 7.0000000000E+00, ... 7.2500000000E+00, ... 8.0000000000E+00, ... 9.0000000000E+00, ... 10.0000000000E+00, ... 12.0000000000E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; x = 0.0; fx = 0.0; else x = x_vec(n_data); fx = fx_vec(n_data); end