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1/* Round argument to nearest integral value according to current rounding
2 direction.
04277e02 3 Copyright (C) 1997-2019 Free Software Foundation, Inc.
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4 This file is part of the GNU C Library.
5 Contributed by Ulrich Drepper <drepper@cygnus.com>, 1997.
6
7 The GNU C Library is free software; you can redistribute it and/or
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8 modify it under the terms of the GNU Lesser General Public
9 License as published by the Free Software Foundation; either
10 version 2.1 of the License, or (at your option) any later version.
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11
12 The GNU C Library is distributed in the hope that it will be useful,
13 but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
41bdb6e2 15 Lesser General Public License for more details.
c131718c 16
41bdb6e2 17 You should have received a copy of the GNU Lesser General Public
59ba27a6 18 License along with the GNU C Library; if not, see
5a82c748 19 <https://www.gnu.org/licenses/>. */
c131718c 20
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21#include <fenv.h>
22#include <limits.h>
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23#include <math.h>
24
aaee3cd8 25#include <math-narrow-eval.h>
1ed0291c 26#include <math_private.h>
1e2bffd0 27#include <libm-alias-double.h>
06d97e5e 28#include <fix-fp-int-convert-overflow.h>
c131718c 29
dfd2257a 30static const double two52[2] =
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31{
32 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
33 -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
34};
35
36
37long int
dfd2257a 38__lrint (double x)
c131718c 39{
dfd2257a 40 int32_t j0;
24ab7723 41 uint32_t i0, i1;
54142c44 42 double w;
dfd2257a 43 double t;
c131718c 44 long int result;
dfd2257a 45 int sx;
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46
47 EXTRACT_WORDS (i0, i1, x);
c131718c 48 j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
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49 sx = i0 >> 31;
50 i0 &= 0xfffff;
51 i0 |= 0x100000;
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52
53 if (j0 < 20)
54 {
54142c44 55 w = math_narrow_eval (two52[sx] + x);
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56 t = w - two52[sx];
57 EXTRACT_WORDS (i0, i1, t);
58 j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
59 i0 &= 0xfffff;
60 i0 |= 0x100000;
dfd2257a 61
6624dbc0 62 result = (j0 < 0 ? 0 : i0 >> (20 - j0));
c131718c 63 }
cc3fa755 64 else if (j0 < (int32_t) (8 * sizeof (long int)) - 1)
c131718c 65 {
dfd2257a 66 if (j0 >= 52)
0e069029 67 result = ((long int) i0 << (j0 - 20)) | ((long int) i1 << (j0 - 52));
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68 else
69 {
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70#if defined FE_INVALID || defined FE_INEXACT
71 /* X < LONG_MAX + 1 implied by J0 < 31. */
72 if (sizeof (long int) == 4
73 && x > (double) LONG_MAX)
74 {
75 /* In the event of overflow we must raise the "invalid"
76 exception, but not "inexact". */
77 t = __nearbyint (x);
78 feraiseexcept (t == LONG_MAX ? FE_INEXACT : FE_INVALID);
79 }
80 else
81#endif
82 {
83 w = math_narrow_eval (two52[sx] + x);
84 t = w - two52[sx];
85 }
dfd2257a 86 EXTRACT_WORDS (i0, i1, t);
dfd2257a 87 j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
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88 i0 &= 0xfffff;
89 i0 |= 0x100000;
dfd2257a 90
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91 if (j0 == 20)
92 result = (long int) i0;
93 else
94 result = ((long int) i0 << (j0 - 20)) | (i1 >> (52 - j0));
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95 }
96 }
dfd2257a 97 else
c131718c 98 {
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99 /* The number is too large. Unless it rounds to LONG_MIN,
100 FE_INVALID must be raised and the return value is
101 unspecified. */
102#if defined FE_INVALID || defined FE_INEXACT
103 if (sizeof (long int) == 4
104 && x < (double) LONG_MIN
105 && x > (double) LONG_MIN - 1.0)
106 {
107 /* If truncation produces LONG_MIN, the cast will not raise
108 the exception, but may raise "inexact". */
109 t = __nearbyint (x);
110 feraiseexcept (t == LONG_MIN ? FE_INEXACT : FE_INVALID);
111 return LONG_MIN;
112 }
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113 else if (FIX_DBL_LONG_CONVERT_OVERFLOW && x != (double) LONG_MIN)
114 {
115 feraiseexcept (FE_INVALID);
116 return sx == 0 ? LONG_MAX : LONG_MIN;
117 }
d0d286d3 118#endif
dfd2257a 119 return (long int) x;
c131718c 120 }
c131718c 121
dfd2257a 122 return sx ? -result : result;
c131718c 123}
c131718c 124
1e2bffd0 125libm_alias_double (__lrint, lrint)