86 lines
2.1 KiB
C
86 lines
2.1 KiB
C
|
/*=============================================================================
|
||
|
|
||
|
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) 2011 Sebastian Pancratz
|
||
|
Copyright (C) 2011 Fredrik Johansson
|
||
|
|
||
|
******************************************************************************/
|
||
|
|
||
|
#include <math.h>
|
||
|
#include <gmp.h>
|
||
|
#include "flint.h"
|
||
|
#include "fmpz.h"
|
||
|
#include "ulong_extras.h"
|
||
|
|
||
|
slong
|
||
|
fmpz_flog_ui(const fmpz_t n, ulong b)
|
||
|
{
|
||
|
fmpz_t t;
|
||
|
int sign;
|
||
|
slong r;
|
||
|
|
||
|
if (fmpz_is_one(n))
|
||
|
return 0;
|
||
|
|
||
|
if (b == 2)
|
||
|
return fmpz_bits(n) - 1;
|
||
|
|
||
|
if (!COEFF_IS_MPZ(*n))
|
||
|
return n_flog(*n, b);
|
||
|
|
||
|
sign = fmpz_cmp_ui(n, b);
|
||
|
if (sign <= 0)
|
||
|
return (sign == 0) ? 1 : 0;
|
||
|
|
||
|
r = fmpz_dlog(n) / log(b);
|
||
|
|
||
|
fmpz_init(t);
|
||
|
fmpz_set_ui(t, b);
|
||
|
fmpz_pow_ui(t, t, r);
|
||
|
sign = fmpz_cmp(t, n);
|
||
|
|
||
|
/* Adjust down */
|
||
|
if (sign > 0)
|
||
|
{
|
||
|
while (sign > 0)
|
||
|
{
|
||
|
fmpz_divexact_ui(t, t, b);
|
||
|
sign = fmpz_cmp(t, n);
|
||
|
r--;
|
||
|
}
|
||
|
}
|
||
|
/* Adjust up */
|
||
|
else if (sign < 0)
|
||
|
{
|
||
|
while (1)
|
||
|
{
|
||
|
fmpz_mul_ui(t, t, b);
|
||
|
if (fmpz_cmp(t, n) <= 0)
|
||
|
r++;
|
||
|
else
|
||
|
break;
|
||
|
}
|
||
|
}
|
||
|
|
||
|
fmpz_clear(t);
|
||
|
return r;
|
||
|
}
|