function [ n_data, x, fx ] = exp3_int_values ( n_data ) %*****************************************************************************80 % %% EXP3_INT_VALUES returns some values of the EXP3 integral function. % % Discussion: % % The function is defined by: % % EXP3_INT(x) = Integral ( 0 <= t <= x ) exp ( -t^3 ) 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 = [ ... 0.19531249963620212007E-02, ... 0.78124990686775522671E-02, ... 0.31249761583499728667E-01, ... 0.12493899888803079984E+00, ... 0.48491714311363971332E+00, ... 0.80751118213967145286E+00, ... 0.86889265412623270696E+00, ... 0.88861722235357162648E+00, ... 0.89286018500218176869E+00, ... 0.89295351429387631138E+00, ... 0.89297479112737843939E+00, ... 0.89297880579798112220E+00, ... 0.89297950317496621294E+00, ... 0.89297951152951902903E+00, ... 0.89297951156918122102E+00, ... 0.89297951156924734716E+00, ... 0.89297951156924917298E+00, ... 0.89297951156924921121E+00, ... 0.89297951156924921122E+00, ... 0.89297951156924921122E+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, ... 2.2500000000E+00, ... 2.5000000000E+00, ... 2.7500000000E+00, ... 3.0000000000E+00, ... 3.1250000000E+00, ... 3.2500000000E+00, ... 3.5000000000E+00, ... 3.7500000000E+00, ... 4.0000000000E+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