function [ n_data, x, fx ] = cosh_values ( n_data ) %*****************************************************************************80 % %% COSH_VALUES returns some values of the hyperbolic cosine function. % % Discussion: % % In Mathematica, the function can be evaluated by: % % Cosh[x] % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 23 June 2007 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz, Irene Stegun, % Handbook of Mathematical Functions, % National Bureau of Standards, 1964, % ISBN: 0-486-61272-4, % LC: QA47.A34. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Cambridge University Press, 1999, % ISBN: 0-521-64314-7, % LC: QA76.95.W65. % % 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 = 18; fx_vec = [ ... 74.209948524787844444, ... 1.5430806348152437785, ... 1.0000000000000000000, ... 1.0050041680558035990, ... 1.0200667556190758463, ... 1.0453385141288604850, ... 1.0810723718384548093, ... 1.1276259652063807852, ... 1.1854652182422677038, ... 1.2551690056309430182, ... 1.3374349463048445980, ... 1.4330863854487743878, ... 1.5430806348152437785, ... 3.7621956910836314596, ... 10.067661995777765842, ... 27.308232836016486629, ... 74.209948524787844444, ... 11013.232920103323140 ]; x_vec = [ ... -5.0, ... -1.0, ... 0.0, ... 0.1, ... 0.2, ... 0.3, ... 0.4, ... 0.5, ... 0.6, ... 0.7, ... 0.8, ... 0.9, ... 1.0, ... 2.0, ... 3.0, ... 4.0, ... 5.0, ... 10.0 ]; 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