1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
|
/* mpfr_ui_pow_ui -- compute the power beetween two machine integer
Copyright (C) 1999-2002 Free Software Foundation, Inc.
This file is part of the MPFR Library.
The MPFR Library is free software; you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation; either version 2.1 of the License, or (at your
option) any later version.
The MPFR Library 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the MPFR Library; see the file COPYING.LIB. If not, write to
the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
MA 02111-1307, USA. */
#include "gmp.h"
#include "mpfr.h"
#include "mpfr-impl.h"
int
mpfr_ui_pow_ui (mpfr_ptr x, unsigned long int y, unsigned long int n,
mp_rnd_t rnd)
{
long int err;
unsigned long m;
mpfr_t res;
mp_prec_t prec;
int inexact;
MPFR_CLEAR_FLAGS(x);
if (n == 0) /* y^0 = 1 for any y */
return mpfr_set_ui (x, 1, rnd);
if (y == 0) /* 0^n = 0 for any n > 0 */
return mpfr_set_ui (x, 0, rnd);
mpfr_save_emin_emax ();
mpfr_init (res);
prec = MPFR_PREC(x);
do
{
int i;
prec += 3;
for (i = 0, m = n; m; i++, m >>= 1)
prec++;
mpfr_set_prec (res, prec);
inexact = mpfr_set_ui (res, y, GMP_RNDU);
err = 1;
/* now 2^(i-1) <= n < 2^i */
for (i-=2; i>=0; i--)
{
if (mpfr_mul (res, res, res, GMP_RNDU))
inexact = 1;
err++;
if (n & (1 << i))
if (mpfr_mul_ui (res, res, y, GMP_RNDU))
inexact = 1;
}
err = prec - err;
if (err < 0)
err = 0;
}
while (inexact && (mpfr_can_round (res, err,
MPFR_SIGN(res) > 0 ? GMP_RNDU : GMP_RNDD, rnd, MPFR_PREC(x)) == 0));
if (mpfr_set (x, res, rnd))
inexact = 1;
mpfr_clear (res);
MPFR_RESTORE_RET(inexact, x, rnd);
}
|
