function [ n_data, sigma, x, fx ] = rayleigh_cdf_values ( n_data ) %*****************************************************************************80 % %% RAYLEIGH_CDF_VALUES returns some values of the Rayleigh CDF. % % Discussion: % % In Mathematica, the function can be evaluated by: % % Needs["Statistics`ContinuousDistributions`"] % dist = RayleighDistribution [ sigma ] % CDF [ dist, x ] % % 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. % % 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 SIGMA, the shape parameter of the distribution. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 9; fx_vec = [ ... 0.8646647167633873E+00, ... 0.9996645373720975E+00, ... 0.9999999847700203E+00, ... 0.999999999999987E+00, ... 0.8646647167633873E+00, ... 0.3934693402873666E+00, ... 0.1992625970831920E+00, ... 0.1175030974154046E+00, ... 0.7688365361336422E-01 ]; sigma_vec = [ ... 0.5000000000000000E+00, ... 0.5000000000000000E+00, ... 0.5000000000000000E+00, ... 0.5000000000000000E+00, ... 0.1000000000000000E+01, ... 0.2000000000000000E+01, ... 0.3000000000000000E+01, ... 0.4000000000000000E+01, ... 0.5000000000000000E+01 ]; x_vec = [ ... 0.1000000000000000E+01, ... 0.2000000000000000E+01, ... 0.3000000000000000E+01, ... 0.4000000000000000E+01, ... 0.2000000000000000E+01, ... 0.2000000000000000E+01, ... 0.2000000000000000E+01, ... 0.2000000000000000E+01, ... 0.2000000000000000E+01 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; sigma = 0.0; x = 0.0; fx = 0.0; else sigma = sigma_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end return end