/*=============================================================================

    This file is part of FLINT.

    FLINT is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License,or
    (at your option) any later version.

    FLINT is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with FLINT; if not,write to the Free Software
    Foundation,Inc.,51 Franklin St,Fifth Floor,Boston,MA  02110-1301 USA

=============================================================================*/
/******************************************************************************

    Copyright (C) 2009 William Hart
    Copyright (C) 2010 Fredrik Johansson

******************************************************************************/

#include <gmp.h>
#include "flint.h"
#include "ulong_extras.h"


void n_prime_pi_bounds(ulong *lo, ulong *hi, mp_limb_t n)
{
    int lg2 = FLINT_BIT_COUNT(n);

    *lo = (ulong)(((double)n)/((double)lg2*0.6931472));
    *hi = (ulong)(((double)n)/((double)(lg2-1)*0.5522821));
}