function [ n_data, x, fx ] = debye2_values ( n_data ) %*****************************************************************************80 % %% DEBYE2_VALUES returns some values of Debye's function of order 2. % % Discussion: % % The function is defined by: % % DEBYE2(x) = 2 / x^2 * Integral ( 0 <= t <= x ) t^2 / ( exp ( t ) - 1 ) dt % % The data was reported by McLeod. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 16 September 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 = [ ... 0.99934911727904599738E+00, ... 0.98962402299599181205E+00, ... 0.95898426200345986743E+00, ... 0.84372119334725358934E+00, ... 0.70787847562782928288E+00, ... 0.59149637225671282917E+00, ... 0.49308264399053185014E+00, ... 0.41079413579749669069E+00, ... 0.34261396060786351671E+00, ... 0.24055368752127897660E+00, ... 0.22082770061202308232E+00, ... 0.17232915939014138975E+00, ... 0.14724346738730182894E+00, ... 0.12666919046715789982E+00, ... 0.74268805954862854626E-01, ... 0.47971498020121871622E-01, ... 0.21369201683658373846E-01, ... 0.12020564476446432799E-01, ... 0.53424751249537071952E-02, ... 0.19232910450553508562E-02 ]; x_vec = [ ... 0.0019531250E+00, ... 0.0312500000E+00, ... 0.1250000000E+00, ... 0.5000000000E+00, ... 1.0000000000E+00, ... 1.5000000000E+00, ... 2.0000000000E+00, ... 2.5000000000E+00, ... 3.0000000000E+00, ... 4.0000000000E+00, ... 4.2500000000E+00, ... 5.0000000000E+00, ... 5.5000000000E+00, ... 6.0000000000E+00, ... 8.0000000000E+00, ... 10.0000000000E+00, ... 15.0000000000E+00, ... 20.0000000000E+00, ... 30.0000000000E+00, ... 50.0000000000E+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