function [ n_data, x, fx ] = airy_bi_int_values ( n_data ) %*****************************************************************************80 % %% AIRY_BI_INT_VALUES returns some values of the integral of the Airy function. % % Discussion: % % The function is defined by: % % AIRY_BI_INT(x) = Integral ( 0 <= t <= x ) Bi(t) dt % % 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 = [ ... 0.17660819031554631869E-01, ... -0.15040424806140020451E-01, ... 0.14756446293227661920E-01, ... -0.11847304264848446271E+00, ... -0.64916741266165856037E-01, ... 0.97260832464381044540E-01, ... 0.50760058495287539119E-01, ... -0.37300500963429492179E+00, ... -0.13962988442666578531E+00, ... -0.12001735266723296160E-02, ... 0.12018836117890354598E-02, ... 0.36533846550952011043E+00, ... 0.87276911673800812196E+00, ... 0.48219475263803429675E+02, ... 0.44006525804904178439E+06, ... 0.17608153976228301458E+07, ... 0.73779211705220007228E+07, ... 0.14780980310740671617E+09, ... 0.97037614223613433849E+11, ... 0.11632737638809878460E+15 ]; x_vec = [ ... -12.0000000000E+00, ... -10.0000000000E+00, ... -8.0000000000E+00, ... -7.5000000000E+00, ... -7.0000000000E+00, ... -6.5000000000E+00, ... -4.0000000000E+00, ... -1.0000000000E+00, ... -0.2500000000E+00, ... -0.0019531250E+00, ... 0.0019531250E+00, ... 0.5000000000E+00, ... 1.0000000000E+00, ... 4.0000000000E+00, ... 8.0000000000E+00, ... 8.5000000000E+00, ... 9.0000000000E+00, ... 10.0000000000E+00, ... 12.0000000000E+00, ... 14.0000000000E+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