function [ n_data, x, fx ] = tran06_values ( n_data ) %*****************************************************************************80 % %% TRAN06_VALUES returns some values of the order 6 transportation function. % % Discussion: % % The function is defined by: % % TRAN06(x) = Integral ( 0 <= t <= x ) t^6 * exp(t) / ( exp(t) - 1 )^2 dt % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 19 September 2004 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % 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. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Wolfram Media / Cambridge University Press, 1999. % % 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 = [ ... 0.56843405953641209574E-14, ... 0.59601180165247401484E-08, ... 0.60978424397580572815E-05, ... 0.61578909866319494394E-02, ... 0.18854360275680840514E+00, ... 0.13319251347921659134E+01, ... 0.50857202271697616755E+01, ... 0.13729222365466557122E+02, ... 0.29579592481641441292E+02, ... 0.88600835706899853768E+02, ... 0.10916037113373004909E+03, ... 0.18224323749575359518E+03, ... 0.23765383125586756031E+03, ... 0.29543246745959381136E+03, ... 0.50681244381280455592E+03, ... 0.63878231134946125623E+03, ... 0.72699203556994876111E+03, ... 0.73230331643146851717E+03, ... 0.73248692015882096369E+03, ... 0.73248700462879996604E+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 return end