/*
    Copyright (C) 2011 Fredrik Johansson

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 2.1 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include <math.h>
#include "arith.h"

double arith_euler_number_size(ulong n)
{
    double x;

    x = n + 2;
    x += ((n + 1) * log(n + 1) - n) * 1.44269504088897;  /* 1/log(2) */
    x -= 1.6514961294723*(n+1);  /* log2(pi) */

    return x + 2;
}