function [ n_data, x, fx ] = exp_values ( n_data ) %*****************************************************************************80 % %% EXP_VALUES returns some values of the exponential function. % % Discussion: % % In Mathematica, the function can be evaluated by: % % Exp[x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 11 March 2008 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz, Irene Stegun, % Handbook of Mathematical Functions, % National Bureau of Standards, 1964, % ISBN: 0-486-61272-4, % LC: QA47.A34. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Cambridge University Press, 1999, % ISBN: 0-521-64314-7, % LC: QA76.95.W65. % % 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 = 24; fx_vec = [ ... 0.000045399929762484851536E+00, ... 0.0067379469990854670966E+00, ... 0.36787944117144232160E+00, ... 1.0000000000000000000E+00, ... 1.0000000100000000500E+00, ... 1.0001000050001666708E+00, ... 1.0010005001667083417E+00, ... 1.0100501670841680575E+00, ... 1.1051709180756476248E+00, ... 1.2214027581601698339E+00, ... 1.3498588075760031040E+00, ... 1.4918246976412703178E+00, ... 1.6487212707001281468E+00, ... 1.8221188003905089749E+00, ... 2.0137527074704765216E+00, ... 2.2255409284924676046E+00, ... 2.4596031111569496638E+00, ... 2.7182818284590452354E+00, ... 7.3890560989306502272E+00, ... 23.140692632779269006E+00, ... 148.41315910257660342E+00, ... 22026.465794806716517E+00, ... 4.8516519540979027797E+08, ... 2.3538526683701998541E+17 ]; x_vec = [ ... -10.0E+00, ... -5.0E+00, ... -1.0E+00, ... 0.0E+00, ... 0.00000001E+00, ... 0.0001E+00, ... 0.001E+00, ... 0.01E+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, ... 2.0E+00, ... 3.1415926535897932385E+00, ... 5.0E+00, ... 10.0E+00, ... 20.0E+00, ... 40.0E+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