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
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
|
/* mpfr_get_ld -- convert a multiple precision floating-point number
to a machine long double
Copyright 2002, 2003 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 <stdio.h>
#include <float.h>
#include "gmp.h"
#include "gmp-impl.h"
#include "mpfr.h"
#include "mpfr-impl.h"
long double
mpfr_get_ld (mpfr_srcptr x, mp_rnd_t rnd_mode)
{
if (!mpfr_number_p (x)) /* NaN or Inf: check before 0.0 */
{
return (long double) mpfr_get_d (x, rnd_mode);
}
else if (MPFR_IS_ZERO(x))
{
return MPFR_SIGN(x) < 0 ? -0.0 : 0.0;
}
else /* now x is a normal non-zero number */
{
long double r; /* result */
long double m;
double s; /* part of result */
mp_exp_t e; /* exponent of x */
mp_exp_t sh; /* exponent shift, so that x/2^sh is in the double range */
mpfr_t y, z;
/* first round x to the target long double precision, so that
all subsequent operations are exact (this avoids double rounding
problems) */
mpfr_init2 (y, MPFR_LDBL_MANT_DIG);
mpfr_set (y, x, rnd_mode);
e = MPFR_GET_EXP (y);
if (e > 1023)
{
sh = e - 1023;
MPFR_SET_EXP (y, 1023);
}
else if (e < -1021)
{
sh = e + 1021;
MPFR_SET_EXP (y, -1021);
}
else
{
sh = 0;
}
/* now -1021 <= e - sh = EXP(y) <= 1023 */
r = 0.0;
mpfr_init2 (z, IEEE_DBL_MANT_DIG);
do
{
s = mpfr_get_d (y, GMP_RNDN); /* high part of y */
r += (long double) s;
mpfr_set_d (z, s, rnd_mode); /* exact */
mpfr_sub (y, y, z, rnd_mode); /* exact */
}
while (MPFR_NOTZERO(y));
/* we now have to multiply back by 2^sh */
if (sh != 0)
{
if (sh > 0)
m = 2.0;
else
{
m = 0.5;
sh = -sh;
}
e = 1; /* invariant: m = 2^e */
for (;;)
{
if (sh % 2)
r = r * m;
sh >>= 1;
if (sh == 0)
break;
m = m * m;
e = e + e;
}
}
mpfr_clear (z);
mpfr_clear (y);
return r;
}
}
|
