function [ n_data, x, fx ] = debye3_values ( n_data ) %% DEBYE3_VALUES returns some values of Debye's function of order 3. % % Discussion: % % The function is defined by: % % DEBYE3(x) = 3 / x^3 * Integral ( 0 <= t <= x ) t^3 / ( exp ( t ) - 1 ) dt % % The data was reported by McLeod. % % 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 = [ ... 0.99926776885985461940E+00, ... 0.98833007755734698212E+00, ... 0.95390610472023510237E+00, ... 0.82496296897623372315E+00, ... 0.67441556407781468010E+00, ... 0.54710665141286285468E+00, ... 0.44112847372762418113E+00, ... 0.35413603481042394211E+00, ... 0.28357982814342246206E+00, ... 0.18173691382177474795E+00, ... 0.16277924385112436877E+00, ... 0.11759741179993396450E+00, ... 0.95240802723158889887E-01, ... 0.77581324733763020269E-01, ... 0.36560295673194845002E-01, ... 0.19295765690345489563E-01, ... 0.57712632276188798621E-02, ... 0.24352200674805479827E-02, ... 0.72154882216335666096E-03, ... 0.15585454565440389896E-03 ]; 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