function [ n_data, nu, x, fx ] = bessel_yx_values ( n_data ) %% BESSEL_YX_VALUES returns some values of the Yx Bessel function. % % Discussion: % % This set of data considers the less common case in which the % index of the Bessel function Yn is actually not an integer. % We may suggest this case by occasionally replacing the symbol % "Yn" by "Yx". % % In Mathematica, the function can be evaluated by: % % BesselY[n,x] % % 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 = [ ... -1.748560416961876E+00, ... -0.4310988680183761E+00, ... 0.2347857104062485E+00, ... 0.4042783022390569E+00, ... 0.4560488207946332E+00, ... -0.1012177091851084E+00, ... 0.2117088663313982E+00, ... -0.07280690478506185E+00, ... -1.102495575160179E+00, ... -0.3956232813587035E+00, ... 0.3219244429611401E+00, ... 0.1584346223881903E+00, ... 0.02742813676191382E+00, ... -2.876387857462161E+00, ... -0.8282206324443037E+00, ... 0.2943723749617925E+00, ... -0.1641784796149411E+00, ... 0.1105304445562544E+00, ... -0.9319659251969881E+00, ... -0.2609445010948933E+00, ... 0.2492796362185881E+00, ... 0.2174410301416733E+00, ... -0.01578576650557229E+00, ... -4.023453301501028E+00, ... -0.9588998694752389E+00, ... 0.2264260361047367E+00, ... -0.2193617736566760E+00, ... 0.09413988344515077E+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