function [ n_data, x, fx ] = erfc_values ( n_data ) %*****************************************************************************80 % %% ERFC_VALUES returns some values of the ERFC or "complementary error" function. % % Discussion: % % The complementary error function is defined by: % % ERFC(X) = 1 - ( 2 / sqrt ( PI ) * integral ( 0 <= T <= X ) exp ( - T^2 ) dT % % In Mathematica, the function can be evaluated by: % % Erfc[x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 20 May 2007 % % 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 = [ ... 1.000000000000000E+00, ... 0.7772974107895215E+00, ... 0.5716076449533315E+00, ... 0.3961439091520741E+00, ... 0.2578990352923395E+00, ... 0.1572992070502851E+00, ... 0.08968602177036462E+00, ... 0.04771488023735119E+00, ... 0.02365161665535599E+00, ... 0.01090949836426929E+00, ... 0.004677734981047266E+00, ... 0.001862846297981891E+00, ... 0.0006885138966450786E+00, ... 0.0002360344165293492E+00, ... 0.00007501319466545902E+00, ... 0.00002209049699858544E+00, ... 6.025761151762095E-06, ... 1.521993362862285E-06, ... 3.558629930076853E-07, ... 7.700392745696413E-08, ... 1.541725790028002E-08 ]; x_vec = [ ... 0.0E+00, ... 0.2E+00, ... 0.4E+00, ... 0.6E+00, ... 0.8E+00, ... 1.0E+00, ... 1.2E+00, ... 1.4E+00, ... 1.6E+00, ... 1.8E+00, ... 2.0E+00, ... 2.2E+00, ... 2.4E+00, ... 2.6E+00, ... 2.8E+00, ... 3.0E+00, ... 3.2E+00, ... 3.4E+00, ... 3.6E+00, ... 3.8E+00, ... 4.0E+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