floattixf.c
2.53 KB
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
//===-- floattixf.c - Implement __floattixf -------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
//
// This file implements __floattixf for the compiler_rt library.
//
//===----------------------------------------------------------------------===//
#include "int_lib.h"
#ifdef CRT_HAS_128BIT
// Returns: convert a to a long double, rounding toward even.
// Assumption: long double is a IEEE 80 bit floating point type padded to 128
// bits ti_int is a 128 bit integral type
// gggg gggg gggg gggg gggg gggg gggg gggg | gggg gggg gggg gggg seee eeee eeee
// eeee | 1mmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm
// mmmm mmmm mmmm
COMPILER_RT_ABI long double __floattixf(ti_int a) {
if (a == 0)
return 0.0;
const unsigned N = sizeof(ti_int) * CHAR_BIT;
const ti_int s = a >> (N - 1);
a = (a ^ s) - s;
int sd = N - __clzti2(a); // number of significant digits
int e = sd - 1; // exponent
if (sd > LDBL_MANT_DIG) {
// start: 0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
// finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
// 12345678901234567890123456
// 1 = msb 1 bit
// P = bit LDBL_MANT_DIG-1 bits to the right of 1
// Q = bit LDBL_MANT_DIG bits to the right of 1
// R = "or" of all bits to the right of Q
switch (sd) {
case LDBL_MANT_DIG + 1:
a <<= 1;
break;
case LDBL_MANT_DIG + 2:
break;
default:
a = ((tu_int)a >> (sd - (LDBL_MANT_DIG + 2))) |
((a & ((tu_int)(-1) >> ((N + LDBL_MANT_DIG + 2) - sd))) != 0);
};
// finish:
a |= (a & 4) != 0; // Or P into R
++a; // round - this step may add a significant bit
a >>= 2; // dump Q and R
// a is now rounded to LDBL_MANT_DIG or LDBL_MANT_DIG+1 bits
if (a & ((tu_int)1 << LDBL_MANT_DIG)) {
a >>= 1;
++e;
}
// a is now rounded to LDBL_MANT_DIG bits
} else {
a <<= (LDBL_MANT_DIG - sd);
// a is now rounded to LDBL_MANT_DIG bits
}
long_double_bits fb;
fb.u.high.s.low = ((su_int)s & 0x8000) | // sign
(e + 16383); // exponent
fb.u.low.all = (du_int)a; // mantissa
return fb.f;
}
#endif // CRT_HAS_128BIT