function [ n_data, n, x, fx ] = euler_poly_values ( n_data ) %*****************************************************************************80 % %% EULER_POLY_VALUES returns some values of the Euler polynomials. % % Discussion: % % In Mathematica, the function can be evaluated by: % % EulerE[n,x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 16 September 2004 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Wolfram Media / Cambridge University Press, 1999. % % 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, integer N, the order of the Euler polynomial. % % Output, real X, the argument of the Euler polynomial. % % Output, real FX, the value of the Euler polynomial. % n_max = 27; fx_vec = [ ... 0.100000000000E+01, ... -0.300000000000E+00, ... -0.160000000000E+00, ... 0.198000000000E+00, ... 0.185600000000E+00, ... -0.403680000000E+00, ... -0.560896000000E+00, ... 0.171878880000E+01, ... 0.318043136000E+01, ... -0.125394670080E+02, ... -0.289999384576E+02, ... -0.625000000000E-01, ... -0.174240000000E+00, ... -0.297680000000E+00, ... -0.404320000000E+00, ... -0.475260000000E+00, ... -0.500000000000E+00, ... -0.475240000000E+00, ... -0.403680000000E+00, ... -0.292820000000E+00, ... -0.153760000000E+00, ... 0.000000000000E+00, ... 0.153760000000E+00, ... 0.292820000000E+00, ... 0.403680000000E+00, ... 0.475240000000E+00, ... 0.500000000000E+00 ]; n_vec = [ ... 0, ... 1, ... 2, ... 3, ... 4, ... 5, ... 6, ... 7, ... 8, ... 9, ... 10, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5, ... 5 ]; x_vec = [ ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... 0.2E+00, ... -0.5E+00, ... -0.4E+00, ... -0.3E+00, ... -0.2E+00, ... -0.1E+00, ... 0.0E+00, ... 0.1E+00, ... 0.2E+00, ... 0.3E+00, ... 0.4E+00, ... 0.5E+00, ... 0.6E+00, ... 0.7E+00, ... 0.8E+00, ... 0.9E+00, ... 1.0E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; n = 0; x = 0.0; fx = 0.0; else n = n_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end return end