function [ n_data, x, fx ] = arctan_int_values ( n_data ) %*****************************************************************************80 % %% ARCTAN_INT_VALUES returns some values of the inverse tangent integral. % % Discussion: % % The function is defined by: % % ARCTAN_INT(x) = Integral ( 0 <= t <= x ) arctan ( t ) / 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: % % 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 = [ ... 0.19531241721588483191E-02, ... -0.39062433772980711281E-02, ... 0.78124470192576499535E-02, ... 0.15624576181996527280E-01, ... -0.31246610349485401551E-01, ... 0.62472911335014397321E-01, ... 0.12478419717389654039E+00, ... -0.24830175098230686908E+00, ... 0.48722235829452235711E+00, ... 0.91596559417721901505E+00, ... 0.12749694484943800618E+01, ... -0.15760154034463234224E+01, ... 0.24258878412859089996E+01, ... 0.33911633326292997361E+01, ... 0.44176450919422186583E+01, ... -0.47556713749547247774E+01, ... 0.50961912150934111303E+01, ... 0.53759175735714876256E+01, ... -0.61649904785027487422E+01, ... 0.72437843013083534973E+01 ]; x_vec = [ ... 0.0019531250E+00, ... -0.0039062500E+00, ... 0.0078125000E+00, ... 0.0156250000E+00, ... -0.0312500000E+00, ... 0.0625000000E+00, ... 0.1250000000E+00, ... -0.2500000000E+00, ... 0.5000000000E+00, ... 1.0000000000E+00, ... 1.5000000000E+00, ... -2.0000000000E+00, ... 4.0000000000E+00, ... 8.0000000000E+00, ... 16.0000000000E+00, ... -20.0000000000E+00, ... 25.0000000000E+00, ... 30.0000000000E+00, ... -50.0000000000E+00, ... 100.0000000000E+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