function [ n_data, x, fx ] = erf_values ( n_data ) %*****************************************************************************80 % %% ERF_VALUES returns some values of the ERF or "error" function. % % Discussion: % % The error function is defined by: % % ERF(X) = ( 2 / sqrt ( PI ) * integral ( 0 <= T <= X ) exp ( - T^2 ) dT % % In Mathematica, the function can be evaluated by: % % Erf[x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 16 September 2004 % % 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 = 21; fx_vec = [ ... 0.0000000000000000E+00, ... 0.1124629160182849E+00, ... 0.2227025892104785E+00, ... 0.3286267594591274E+00, ... 0.4283923550466685E+00, ... 0.5204998778130465E+00, ... 0.6038560908479259E+00, ... 0.6778011938374185E+00, ... 0.7421009647076605E+00, ... 0.7969082124228321E+00, ... 0.8427007929497149E+00, ... 0.8802050695740817E+00, ... 0.9103139782296354E+00, ... 0.9340079449406524E+00, ... 0.9522851197626488E+00, ... 0.9661051464753107E+00, ... 0.9763483833446440E+00, ... 0.9837904585907746E+00, ... 0.9890905016357307E+00, ... 0.9927904292352575E+00, ... 0.9953222650189527E+00 ]; x_vec = [ ... 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, ... 1.1E+00, ... 1.2E+00, ... 1.3E+00, ... 1.4E+00, ... 1.5E+00, ... 1.6E+00, ... 1.7E+00, ... 1.8E+00, ... 1.9E+00, ... 2.0E+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