function value = r8_factorial_log ( n )
%*****************************************************************************80
%
%% R8_FACTORIAL_LOG computes the natural logarithm of the factorial N!
%
% Discussion:
%
% LOG ( FACTORIAL ( N ) )
% = LOG ( product ( 1 <= I <= N ) I )
% = sum ( ( 1 <= I <= N ) LOG ( I ) )
%
% Since
%
% FACTORIAL ( N ) = GAMMA ( N + 1 ),
%
% and since MATLAB supplies in GAMMLN the logarithm of the Gamma
% function, we may replace the calculation by a call to GAMMLN.
%
% Thanks to Michael Baudin for suggesting this improvement,
% which is faster and more accurate and vectorizes, 09 February 2010.
%
% Licensing:
%
% This code is distributed under the MIT license.
%
% Modified:
%
% 13 February 2010
%
% Author:
%
% John Burkardt
%
% Input:
%
% integer N, the argument of the factorial function.
% If N is less than 1, VALUE is returned as 0.
%
% Output:
%
% real VALUE, the logarithm of the factorial of N.
%
value = gammaln ( n + 1 );
return
end