1 /* Round to integer type.  dbl-64 version.
2    Copyright (C) 2016-2022 Free Software Foundation, Inc.
3    This file is part of the GNU C Library.
4 
5    The GNU C Library is free software; you can redistribute it and/or
6    modify it under the terms of the GNU Lesser General Public
7    License as published by the Free Software Foundation; either
8    version 2.1 of the License, or (at your option) any later version.
9 
10    The GNU C Library is distributed in the hope that it will be useful,
11    but WITHOUT ANY WARRANTY; without even the implied warranty of
12    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
13    Lesser General Public License for more details.
14 
15    You should have received a copy of the GNU Lesser General Public
16    License along with the GNU C Library; if not, see
17    <https://www.gnu.org/licenses/>.  */
18 
19 #include <errno.h>
20 #include <fenv.h>
21 #include <math.h>
22 #include <math_private.h>
23 #include <libm-alias-double.h>
24 #include <stdbool.h>
25 #include <stdint.h>
26 
27 #define BIAS 0x3ff
28 #define MANT_DIG 53
29 
30 #if UNSIGNED
31 # define RET_TYPE uintmax_t
32 #else
33 # define RET_TYPE intmax_t
34 #endif
35 
36 #include <fromfp.h>
37 
38 RET_TYPE
FUNC(double x,int round,unsigned int width)39 FUNC (double x, int round, unsigned int width)
40 {
41   if (width > INTMAX_WIDTH)
42     width = INTMAX_WIDTH;
43   uint64_t ix;
44   EXTRACT_WORDS64 (ix, x);
45   bool negative = (ix & 0x8000000000000000ULL) != 0;
46   if (width == 0)
47     return fromfp_domain_error (negative, width);
48   ix &= 0x7fffffffffffffffULL;
49   if (ix == 0)
50     return 0;
51   int exponent = ix >> (MANT_DIG - 1);
52   exponent -= BIAS;
53   int max_exponent = fromfp_max_exponent (negative, width);
54   if (exponent > max_exponent)
55     return fromfp_domain_error (negative, width);
56 
57   ix &= ((1ULL << (MANT_DIG - 1)) - 1);
58   ix |= 1ULL << (MANT_DIG - 1);
59   uintmax_t uret;
60   bool half_bit, more_bits;
61   if (exponent >= MANT_DIG - 1)
62     {
63       uret = ix;
64       uret <<= exponent - (MANT_DIG - 1);
65       half_bit = false;
66       more_bits = false;
67     }
68   else if (exponent >= -1)
69     {
70       uint64_t h = 1ULL << (MANT_DIG - 2 - exponent);
71       half_bit = (ix & h) != 0;
72       more_bits = (ix & (h - 1)) != 0;
73       uret = ix >> (MANT_DIG - 1 - exponent);
74     }
75   else
76     {
77       uret = 0;
78       half_bit = false;
79       more_bits = true;
80     }
81   return fromfp_round_and_return (negative, uret, half_bit, more_bits, round,
82 				  exponent, max_exponent, width);
83 }
84