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63551311 1/* Round double to integer away from zero.
d4697bc9 2 Copyright (C) 1997-2014 Free Software Foundation, Inc.
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3 This file is part of the GNU C Library.
4 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
5
6 The GNU C Library is free software; you can redistribute it and/or
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7 modify it under the terms of the GNU Lesser General Public
8 License as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
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10
11 The GNU C Library is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
41bdb6e2 14 Lesser General Public License for more details.
63551311 15
41bdb6e2 16 You should have received a copy of the GNU Lesser General Public
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17 License along with the GNU C Library; if not, see
18 <http://www.gnu.org/licenses/>. */
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19
20#include <math.h>
21
1ed0291c 22#include <math_private.h>
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23
24
25static const double huge = 1.0e300;
26
27
28double
29__round (double x)
30{
31 int32_t i0, j0;
32 u_int32_t i1;
33
34 EXTRACT_WORDS (i0, i1, x);
35 j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
36 if (j0 < 20)
37 {
38 if (j0 < 0)
39 {
80479147 40 math_force_eval (huge + x);
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41
42 i0 &= 0x80000000;
43 if (j0 == -1)
44 i0 |= 0x3ff00000;
45 i1 = 0;
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46 }
47 else
48 {
49 u_int32_t i = 0x000fffff >> j0;
50 if (((i0 & i) | i1) == 0)
51 /* X is integral. */
52 return x;
80479147 53 math_force_eval (huge + x);
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54
55 /* Raise inexact if x != 0. */
56 i0 += 0x00080000 >> j0;
57 i0 &= ~i;
58 i1 = 0;
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59 }
60 }
61 else if (j0 > 51)
62 {
63 if (j0 == 0x400)
64 /* Inf or NaN. */
65 return x + x;
66 else
67 return x;
68 }
69 else
70 {
71 u_int32_t i = 0xffffffff >> (j0 - 20);
72 if ((i1 & i) == 0)
73 /* X is integral. */
74 return x;
75
80479147 76 math_force_eval (huge + x);
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77
78 /* Raise inexact if x != 0. */
79 u_int32_t j = i1 + (1 << (51 - j0));
80 if (j < i1)
81 i0 += 1;
82 i1 = j;
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83 i1 &= ~i;
84 }
85
86 INSERT_WORDS (x, i0, i1);
87 return x;
88}
89weak_alias (__round, round)
90#ifdef NO_LONG_DOUBLE
91strong_alias (__round, __roundl)
92weak_alias (__round, roundl)
93#endif