function [ n_data, x, fx ] = ci_values ( n_data ) %% CI_VALUES returns some values of the cosine integral function. % % Discussion: % % The cosine integral is defined by % % CI(X) = - integral ( X <= T < Infinity ) ( cos ( T ) ) / T dT % % In Mathematica, the function can be evaluated by: % % CosIntegral[x] % % Modified: % % 16 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 X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 16; fx_vec = [ ... -0.1777840788066129E+00, ... -0.2227070695927976E-01, ... 0.1005147070088978E+00, ... 0.1982786159524672E+00, ... 0.2760678304677729E+00, ... 0.3374039229009681E+00, ... 0.4204591828942405E+00, ... 0.4620065850946773E+00, ... 0.4717325169318778E+00, ... 0.4568111294183369E+00, ... 0.4229808287748650E+00, ... 0.2858711963653835E+00, ... 0.1196297860080003E+00, ... -0.3212854851248112E-01, ... -0.1409816978869304E+00, ... -0.1934911221017388E+00 ]; x_vec = [ ... 0.5E+00, ... 0.6E+00, ... 0.7E+00, ... 0.8E+00, ... 0.9E+00, ... 1.0E+00, ... 1.2E+00, ... 1.4E+00, ... 1.6E+00, ... 1.8E+00, ... 2.0E+00, ... 2.5E+00, ... 3.0E+00, ... 3.5E+00, ... 4.0E+00, ... 4.5E+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