function [ n_data, x, fx ] = sinh_values ( n_data )

%*****************************************************************************80
%
%% SINH_VALUES returns some values of the hyperbolic sine function.
%
%  Discussion:
%
%    In Mathematica, the function can be evaluated by:
%
%      Sinh[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 = [ ...
      -74.203210577788758977, ...
       -1.1752011936438014569, ...
        0.00000000000000000000, ...
        0.10016675001984402582, ...
        0.20133600254109398763, ...
        0.30452029344714261896, ...
        0.41075232580281550854, ...
        0.52109530549374736162, ...
        0.63665358214824127112, ...
        0.75858370183953350346, ...
        0.88810598218762300657, ...
        1.0265167257081752760, ...
        1.1752011936438014569, ...
        3.6268604078470187677, ...
       10.017874927409901899, ...
       27.289917197127752449, ...
       74.203210577788758977, ...
    11013.232874703393377 ];

  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
