function [ n_data, x, fx ] = airy_gi_values ( n_data ) %*****************************************************************************80 % %% AIRY_GI_VALUES returns some values of the Airy Gi function. % % Discussion: % % The function is defined by: % % AIRY_GI(x) = Integral ( 0 <= t < infinity ) sin ( x*t+t^3/3) dt / pi % % The data was reported by McLeod. % % Licensing: % % This code is distributed under the GNU LGPL license. % % 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 = [ ... 0.20468308070040542435E+00, ... 0.18374662832557904078E+00, ... -0.11667221729601528265E+00, ... 0.31466934902729557596E+00, ... -0.37089040722426257729E+00, ... -0.25293059772424019694E+00, ... 0.28967410658692701936E+00, ... -0.34644836492634090590E+00, ... 0.28076035913873049496E+00, ... 0.21814994508094865815E+00, ... 0.20526679000810503329E+00, ... 0.22123695363784773258E+00, ... 0.23521843981043793760E+00, ... 0.82834303363768729338E-01, ... 0.45757385490989281893E-01, ... 0.44150012014605159922E-01, ... 0.39951133719508907541E-01, ... 0.35467706833949671483E-01, ... 0.31896005100679587981E-01, ... 0.26556892713512410405E-01 ]; 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 return end