function [ n_data, nu, x, fx ] = bessel_jx_values ( n_data ) %*****************************************************************************80 % %% BESSEL_JX_VALUES returns some values of the Jx Bessel function. % % Discussion: % % This set of data considers the less common case in which the % index of the Bessel function Jn is actually not an integer. % We may suggest this case by occasionally replacing the symbol % "Jn" by "Jx". % % In Mathematica, the function can be evaluated by: % % BesselJ[n,x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 01 April 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 NU, the order of the function. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 28; fx_vec = [ ... 0.3544507442114011E+00, ... 0.6713967071418031E+00 ... 0.5130161365618278E+00 ... 0.3020049060623657E+00, ... 0.06500818287737578E+00, ... -0.3421679847981618E+00, ... -0.1372637357550505E+00, ... 0.1628807638550299E+00, ... 0.2402978391234270E+00, ... 0.4912937786871623E+00, ... -0.1696513061447408E+00, ... 0.1979824927558931E+00, ... -0.1094768729883180E+00, ... 0.04949681022847794E+00, ... 0.2239245314689158E+00, ... 0.2403772011113174E+00, ... 0.1966584835818184E+00, ... 0.02303721950962553E+00, ... 0.3314145508558904E+00, ... 0.5461734240402840E+00, ... -0.2616584152094124E+00, ... 0.1296035513791289E+00, ... -0.1117432171933552E+00, ... 0.03142623570527935E+00, ... 0.1717922192746527E+00, ... 0.3126634069544786E+00, ... 0.1340289119304364E+00, ... 0.06235967135106445E+00 ]; nu_vec = [ ... 0.50E+00, ... 0.50E+00, ... 0.50E+00, ... 0.50E+00, ... 0.50E+00, ... 0.50E+00, ... 0.50E+00, ... 0.50E+00, ... 1.50E+00, ... 1.50E+00, ... 1.50E+00, ... 1.50E+00, ... 1.50E+00, ... 2.50E+00, ... 2.50E+00, ... 2.50E+00, ... 2.50E+00, ... 2.50E+00, ... 1.25E+00, ... 1.25E+00, ... 1.25E+00, ... 1.25E+00, ... 1.25E+00, ... 2.75E+00, ... 2.75E+00, ... 2.75E+00, ... 2.75E+00, ... 2.75E+00 ]; x_vec = [ ... 0.2E+00, ... 1.0E+00, ... 2.0E+00, ... 2.5E+00, ... 3.0E+00, ... 5.0E+00, ... 10.0E+00, ... 20.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; nu = 0.0; x = 0.0; fx = 0.0; else nu = nu_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end return end