function [ n_data, a, x, fx ] = gamma_inc_tricomi_values ( n_data ) %*****************************************************************************80 % %% GAMMA_INC_TRICOMI_VALUES: values of Tricomi's incomplete Gamma function. % % Discussion: % % Tricomi's incomplete Gamma function is defined as: % % 1/Gamma(A) * 1/X^A * Integral ( 0 <= T <= X ) T^(A-1) * exp(-T) dT. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 11 April 2010 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % 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 A, the parameter of the function. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 20; a_vec = [ ... 0.10E+00, ... 0.10E+00, ... 0.10E+00, ... 0.50E+00, ... 0.50E+00, ... 0.50E+00, ... 0.10E+01, ... 0.10E+01, ... 0.10E+01, ... 0.11E+01, ... 0.11E+01, ... 0.11E+01, ... 0.20E+01, ... 0.20E+01, ... 0.20E+01, ... 0.60E+01, ... 0.60E+01, ... 0.11E+02, ... 0.26E+02, ... 0.41E+02 ]; fx_vec = [ ... 1.048292641463504E+00, ... 1.024577737369574E+00, ... 0.9493712443185374E+00, ... 1.100793230316492E+00, ... 0.8998911979655218E+00, ... 0.5301656062431039E+00, ... 0.9516258196404043E+00, ... 0.6321205588285577E+00, ... 0.1986524106001829E+00, ... 0.9071784510537487E+00, ... 0.5891809618706485E+00, ... 0.1688269752193589E+00, ... 0.4527034271637121E+00, ... 0.1965220442795224E+00, ... 0.02025928457705232E+00, ... 0.0001721181724479739E+00, ... 3.280858070850586E-07, ... 5.244396471821590E-14, ... 2.013462926183376E-37, ... 1.230623887499875E-68 ]; x_vec = [ ... 0.30E-01, ... 0.30E+00, ... 0.15E+01, ... 0.75E-01, ... 0.75E+00, ... 0.35E+01, ... 0.10E+00, ... 0.10E+01, ... 0.50E+01, ... 0.10E+00, ... 0.10E+01, ... 0.50E+01, ... 0.15E+00, ... 0.15E+01, ... 0.70E+01, ... 0.25E+01, ... 0.12E+02, ... 0.16E+02, ... 0.25E+02, ... 0.45E+02 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; a = 0.0; x = 0.0; fx = 0.0; else a = a_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end return end