function [ n_data, a, b, c, x, fx ] = hypergeometric_cdf_values ( n_data ) %% HYPER_2F1_CDF_VALUES returns some values of the hypergeometric 2F1 function. % % Discussion: % % In Mathematica, the function can be evaluated by: % % fx = Hypergeometric2F1 [ a, b, c, x ] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 09 September 2007 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz, Irene Stegun, % Handbook of Mathematical Functions, % National Bureau of Standards, 1964, % ISBN: 0-486-61272-4, % LC: QA47.A34. % % Shanjie Zhang, Jianming Jin, % Computation of Special Functions, % Wiley, 1996, % ISBN: 0-471-11963-6, % LC: QA351.C45 % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Cambridge University Press, 1999, % ISBN: 0-521-64314-7, % LC: QA76.95.W65. % % Daniel Zwillinger, editor, % CRC Standard Mathematical Tables and Formulae, % 30th Edition, % CRC Press, 1996, % ISBN: 0-8493-2479-3, % LC: QA47.M315. % % 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 A, B, C, X, the parameters. % % Output, real FX, the value of the function. % n_max = 24; a_vec = [ ... -2.5, ... -0.5, ... 0.5, ... 2.5, ... -2.5, ... -0.5, ... 0.5, ... 2.5, ... -2.5, ... -0.5, ... 0.5, ... 2.5, ... 3.3, ... 1.1, ... 1.1, ... 3.3, ... 3.3, ... 1.1, ... 1.1, ... 3.3, ... 3.3, ... 1.1, ... 1.1, ... 3.3 ]; b_vec = [ ... 3.3, ... 1.1, ... 1.1, ... 3.3, ... 3.3, ... 1.1, ... 1.1, ... 3.3, ... 3.3, ... 1.1, ... 1.1, ... 3.3, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7 ]; c_vec = [ ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... 6.7, ... -5.5, ... -0.5, ... 0.5, ... 4.5, ... -5.5, ... -0.5, ... 0.5, ... 4.5, ... -5.5, ... -0.5, ... 0.5, ... 4.5 ]; fx_vec = [ ... 0.72356129348997784913, ... 0.97911109345277961340, ... 1.0216578140088564160, ... 1.4051563200112126405, ... 0.46961431639821611095, ... 0.95296194977446325454, ... 1.0512814213947987916, ... 2.3999062904777858999, ... 0.29106095928414718320, ... 0.92536967910373175753, ... 1.0865504094806997287, ... 5.7381565526189046578, ... 15090.669748704606754, ... -104.31170067364349677, ... 21.175050707768812938, ... 4.1946915819031922850, ... 1.0170777974048815592E+10, ... -24708.635322489155868, ... 1372.2304548384989560, ... 58.092728706394652211, ... 5.8682087615124176162E+18, ... -4.4635010147295996680E+08, ... 5.3835057561295731310E+06, ... 20396.913776019659426 ]; x_vec = [ ... 0.25, ... 0.25, ... 0.25, ... 0.25, ... 0.55, ... 0.55, ... 0.55, ... 0.55, ... 0.85, ... 0.85, ... 0.85, ... 0.85, ... 0.25, ... 0.25, ... 0.25, ... 0.25, ... 0.55, ... 0.55, ... 0.55, ... 0.55, ... 0.85, ... 0.85, ... 0.85, ... 0.85 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; a = 0.0; b = 0.0; c = 0.0; x = 0.0; fx = 0.0; else a = a_vec(n_data); b = b_vec(n_data); c = c_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end return end