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
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
|
/* Round to long int long double floating-point values.
IBM extended format long double version.
Copyright (C) 2006-2014 Free Software Foundation, Inc.
This file is part of the GNU C Library.
The GNU C 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 GNU C 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 GNU C Library; if not, see
<http://www.gnu.org/licenses/>. */
#include <math.h>
#include <fenv.h>
#include <math_ldbl_opt.h>
#include <float.h>
#include <ieee754.h>
long
__lrintl (long double x)
{
double xh, xl;
long res, hi, lo;
int save_round;
ldbl_unpack (x, &xh, &xl);
/* Limit the range of values handled by the conversion to long.
We do this because we aren't sure whether that conversion properly
raises FE_INVALID. */
if (
#if __LONG_MAX__ == 2147483647
__builtin_expect
((__builtin_fabs (xh) <= (double) __LONG_MAX__ + 2), 1)
#else
__builtin_expect
((__builtin_fabs (xh) <= -(double) (-__LONG_MAX__ - 1)), 1)
#endif
#if !defined (FE_INVALID)
|| 1
#endif
)
{
save_round = fegetround ();
#if __LONG_MAX__ == 2147483647
long long llhi = (long long) xh;
if (llhi != (long) llhi)
hi = llhi < 0 ? -__LONG_MAX__ - 1 : __LONG_MAX__;
else
hi = llhi;
xh -= hi;
#else
if (__glibc_unlikely ((xh == -(double) (-__LONG_MAX__ - 1))))
{
/* When XH is 9223372036854775808.0, converting to long long will
overflow, resulting in an invalid operation. However, XL might
be negative and of sufficient magnitude that the overall long
double is in fact in range. Avoid raising an exception. In any
case we need to convert this value specially, because
the converted value is not exactly represented as a double
thus subtracting HI from XH suffers rounding error. */
hi = __LONG_MAX__;
xh = 1.0;
}
else
{
hi = (long) xh;
xh -= hi;
}
#endif
ldbl_canonicalize (&xh, &xl);
lo = (long) xh;
/* Peg at max/min values, assuming that the above conversions do so.
Strictly speaking, we can return anything for values that overflow,
but this is more useful. */
res = hi + lo;
/* This is just sign(hi) == sign(lo) && sign(res) != sign(hi). */
if (__glibc_unlikely (((~(hi ^ lo) & (res ^ hi)) < 0)))
goto overflow;
xh -= lo;
ldbl_canonicalize (&xh, &xl);
hi = res;
switch (save_round)
{
case FE_TONEAREST:
if (fabs (xh) < 0.5
|| (fabs (xh) == 0.5
&& ((xh > 0.0 && xl < 0.0)
|| (xh < 0.0 && xl > 0.0)
|| (xl == 0.0 && (res & 1) == 0))))
return res;
if (xh < 0.0)
res -= 1;
else
res += 1;
break;
case FE_TOWARDZERO:
if (res > 0 && (xh < 0.0 || (xh == 0.0 && xl < 0.0)))
res -= 1;
else if (res < 0 && (xh > 0.0 || (xh == 0.0 && xl > 0.0)))
res += 1;
return res;
break;
case FE_UPWARD:
if (xh > 0.0 || (xh == 0.0 && xl > 0.0))
res += 1;
break;
case FE_DOWNWARD:
if (xh < 0.0 || (xh == 0.0 && xl < 0.0))
res -= 1;
break;
}
if (__glibc_unlikely (((~(hi ^ (res - hi)) & (res ^ hi)) < 0)))
goto overflow;
return res;
}
else
{
if (xh > 0.0)
hi = __LONG_MAX__;
else if (xh < 0.0)
hi = -__LONG_MAX__ - 1;
else
/* Nan */
hi = 0;
}
overflow:
#ifdef FE_INVALID
feraiseexcept (FE_INVALID);
#endif
return hi;
}
long_double_symbol (libm, __lrintl, lrintl);
|