function [ n_data, x, fx ] = bessel_k0_int_values ( n_data ) %*****************************************************************************80 % %% BESSEL_K0_INT_VALUES returns some values of the Bessel K0 integral. % % Discussion: % % The function is defined by: % % K0_INT(x) = Integral ( 0 <= t <= x ) K0(t) dt % % The data was reported by McLeod. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 29 August 2004 % % Author: % % John Burkardt % % Reference: % % Allan McLeod, % Algorithm 757, MISCFUN: A software package to compute uncommon % special functions, % ACM Transactions on Mathematical Software, % Volume 22, Number 3, September 1996, pages 288-301. % % 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 = 20; fx_vec = [ ... 0.78587929563466784589E-02, ... 0.26019991617330578111E-01, ... 0.24311842237541167904E+00, ... 0.39999633750480508861E+00, ... 0.92710252093114907345E+00, ... 0.12425098486237782662E+01, ... 0.14736757343168286825E+01, ... 0.15606495706051741364E+01, ... 0.15673873907283660493E+01, ... 0.15696345532693743714E+01, ... 0.15701153443250786355E+01, ... 0.15706574852894436220E+01, ... 0.15707793116159788598E+01, ... 0.15707942066465767196E+01, ... 0.15707962315469192247E+01, ... 0.15707963262340149876E+01, ... 0.15707963267948756308E+01, ... 0.15707963267948966192E+01, ... 0.15707963267948966192E+01, ... 0.15707963267948966192E+01 ]; x_vec = [ ... 0.0009765625E+00, ... 0.0039062500E+00, ... 0.0625000000E+00, ... 0.1250000000E+00, ... 0.5000000000E+00, ... 1.0000000000E+00, ... 2.0000000000E+00, ... 4.0000000000E+00, ... 5.0000000000E+00, ... 6.0000000000E+00, ... 6.5000000000E+00, ... 8.0000000000E+00, ... 10.0000000000E+00, ... 12.0000000000E+00, ... 15.0000000000E+00, ... 20.0000000000E+00, ... 30.0000000000E+00, ... 50.0000000000E+00, ... 80.0000000000E+00, ... 100.0000000000E+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