function [ n_data, x, fx ] = goodwin_values ( n_data ) %*****************************************************************************80 % %% GOODWIN_VALUES returns some values of the Goodwin and Staton function. % % Discussion: % % The function is defined by: % % GOODWIN(x) = Integral ( 0 <= t < infinity ) exp ( -t^2 ) / ( t + x ) dt % % The data was reported by McLeod. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 16 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 = [ ... 0.59531540040441651584E+01, ... 0.45769601268624494109E+01, ... 0.32288921331902217638E+01, ... 0.19746110873568719362E+01, ... 0.96356046208697728563E+00, ... 0.60513365250334458174E+00, ... 0.51305506459532198016E+00, ... 0.44598602820946133091E+00, ... 0.37344458206879749357E+00, ... 0.35433592884953063055E+00, ... 0.33712156518881920994E+00, ... 0.29436170729362979176E+00, ... 0.25193499644897222840E+00, ... 0.22028778222123939276E+00, ... 0.19575258237698917033E+00, ... 0.17616303166670699424E+00, ... 0.16015469479664778673E+00, ... 0.14096116876193391066E+00, ... 0.13554987191049066274E+00, ... 0.11751605060085098084E+00 ]; x_vec = [ ... 0.0019531250E+00, ... 0.0078125000E+00, ... 0.0312500000E+00, ... 0.1250000000E+00, ... 0.5000000000E+00, ... 1.0000000000E+00, ... 1.2500000000E+00, ... 1.5000000000E+00, ... 1.8750000000E+00, ... 2.0000000000E+00, ... 2.1250000000E+00, ... 2.5000000000E+00, ... 3.0000000000E+00, ... 3.5000000000E+00, ... 4.0000000000E+00, ... 4.5000000000E+00, ... 5.0000000000E+00, ... 5.7500000000E+00, ... 6.0000000000E+00, ... 7.0000000000E+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