function [ n_data, x, fx ] = ber0_values ( n_data ) %*****************************************************************************80 % %% BER0_VALUES returns some values of the Kelvin BER function of order NU = 0. % % Discussion: % % The function is defined by: % % BER(NU,X) + i * BEI(NU,X) = exp(NU*Pi*I) * J(NU,X*exp(-PI*I/4)) % % where J(NU,X) is the J Bessel function. % % In Mathematica, BER(NU,X) can be defined by: % % Re [ Exp [ NU * Pi * I ] * BesselJ [ NU, X * Exp[ -Pi * I / 4 ] ] ] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 27 June 2006 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz, Irene Stegun, % Handbook of Mathematical Functions, % National Bureau of Standards, 1964, % LC: QA47.A34, % ISBN: 0-486-61272-4. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Cambridge University Press, 1999, % LC: QA76.95.W65, % ISBN: 0-521-64314-7. % % 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 = 11; fx_vec = [ ... 1.0000000000000000, ... 0.9990234639908383, ... 0.9843817812130869, ... 0.9210721835462558, ... 0.7517341827138082, ... 0.3999684171295313, ... -0.2213802495986939, ... -1.193598179589928, ... -2.563416557258580, ... -4.299086551599756, ... -6.230082478666358 ]; x_vec = [; 0.0, ... 0.5, ... 1.0, ... 1.5, ... 2.0, ... 2.5, ... 3.0, ... 3.5, ... 4.0, ... 4.5, ... 5.0 ]; 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