function [ n_data, x, fx ] = abram0_values ( n_data ) %*****************************************************************************80 % %% ABRAM0_VALUES returns some values of the Abramowitz0 function. % % Discussion: % % The function is defined by: % % ABRAM0(X) = integral ( 0 <= T < infinity ) exp ( -T * T - X / 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 = [ ... 0.87377726306985360531E+00, ... 0.84721859650456925922E+00, ... 0.77288934483988301615E+00, ... 0.59684345853450151603E+00, ... 0.29871735283675888392E+00, ... 0.15004596450516388138E+00, ... 0.11114662419157955096E+00, ... 0.83909567153151897766E-01, ... 0.56552321717943417515E-01, ... 0.49876496603033790206E-01, ... 0.44100889219762791328E-01, ... 0.19738535180254062496E-01, ... 0.86193088287161479900E-02, ... 0.40224788162540127227E-02, ... 0.19718658458164884826E-02, ... 0.10045868340133538505E-02, ... 0.15726917263304498649E-03, ... 0.10352666912350263437E-04, ... 0.91229759190956745069E-06, ... 0.25628287737952698742E-09 ]; 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, ... 3.0000000000E+00, ... 4.0000000000E+00, ... 5.0000000000E+00, ... 6.0000000000E+00, ... 7.0000000000E+00, ... 10.0000000000E+00, ... 15.0000000000E+00, ... 20.0000000000E+00, ... 40.0000000000E+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