function [ n_data, x, fx ] = dawson_values ( n_data ) %*****************************************************************************80 % %% DAWSON_VALUES returns some values of Dawson's integral. % % Discussion: % % The definition of Dawson's integral is % % D(X) = exp ( -X * X ) * Integral ( 0 <= Y <= X ) exp ( Y * Y ) dY % % Dawson's integral has a maximum at roughly % % X = 0.9241388730 % % In Mathematica, the function can be evaluated by: % % Sqrt[Pi] * Exp[-x^2] * I * Erf[I*x] / 2 % % 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. % % Eric Weisstein, % CRC Concise Encyclopedia of Mathematics, % CRC Press, 1998. % % 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, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 21; fx_vec = [ ... 0.0000000000000000E+00, ... 0.9933599239785286E-01, ... 0.1947510333680280E+00, ... 0.2826316650213119E+00, ... 0.3599434819348881E+00, ... 0.4244363835020223E+00, ... 0.4747632036629779E+00, ... 0.5105040575592318E+00, ... 0.5321017070563654E+00, ... 0.5407243187262987E+00, ... 0.5380795069127684E+00, ... 0.5262066799705525E+00, ... 0.5072734964077396E+00, ... 0.4833975173848241E+00, ... 0.4565072375268973E+00, ... 0.4282490710853986E+00, ... 0.3999398943230814E+00, ... 0.3725593489740788E+00, ... 0.3467727691148722E+00, ... 0.3229743193228178E+00, ... 0.3013403889237920E+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