function [ n_data, x, fx ] = bessel_j0_int_values ( n_data ) %*****************************************************************************80 % %% BESSEL_J0_INT_VALUES returns some values of the Bessel J0 integral. % % Discussion: % % The function is defined by: % % J0_INT(x) = Integral ( 0 <= t <= x ) J0(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 = [ ... 0.97656242238978822427E-03, ... 0.39062450329491108875E-02, ... -0.62479657927917933620E-01, ... 0.12483733492120479139E+00, ... -0.48968050664604505505E+00, ... 0.91973041008976023931E+00, ... -0.14257702931970265690E+01, ... 0.10247341594606064818E+01, ... -0.12107468348304501655E+01, ... 0.11008652032736190799E+01, ... -0.10060334829904124192E+01, ... 0.81330572662485953519E+00, ... -0.10583788214211277585E+01, ... 0.87101492116545875169E+00, ... -0.88424908882547488420E+00, ... 0.11257761503599914603E+01, ... -0.90141212258183461184E+00, ... 0.91441344369647797803E+00, ... -0.94482281938334394886E+00, ... 0.92266255696016607257E+00 ]; 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, ... -8.0000000000E+00, ... 16.0000000000E+00, ... -16.5000000000E+00, ... 18.0000000000E+00, ... -20.0000000000E+00, ... 25.0000000000E+00, ... -30.0000000000E+00, ... 40.0000000000E+00, ... -50.0000000000E+00, ... 75.0000000000E+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