1 /* ===-- floattixf.c - Implement __floattixf -------------------------------===
2 *
3 * The LLVM Compiler Infrastructure
4 *
5 * This file is dual licensed under the MIT and the University of Illinois Open
6 * Source Licenses. See LICENSE.TXT for details.
7 *
8 * ===----------------------------------------------------------------------===
9 *
10 * This file implements __floattixf for the compiler_rt library.
11 *
12 * ===----------------------------------------------------------------------===
13 */
14
15 #include "int_lib.h"
16
17 #ifdef CRT_HAS_128BIT
18
19 /* Returns: convert a to a long double, rounding toward even. */
20
21 /* Assumption: long double is a IEEE 80 bit floating point type padded to 128 bits
22 * ti_int is a 128 bit integral type
23 */
24
25 /* gggg gggg gggg gggg gggg gggg gggg gggg | gggg gggg gggg gggg seee eeee eeee eeee |
26 * 1mmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm
27 */
28
29 COMPILER_RT_ABI long double
__floattixf(ti_int a)30 __floattixf(ti_int a)
31 {
32 if (a == 0)
33 return 0.0;
34 const unsigned N = sizeof(ti_int) * CHAR_BIT;
35 const ti_int s = a >> (N-1);
36 a = (a ^ s) - s;
37 int sd = N - __clzti2(a); /* number of significant digits */
38 int e = sd - 1; /* exponent */
39 if (sd > LDBL_MANT_DIG)
40 {
41 /* start: 0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
42 * finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
43 * 12345678901234567890123456
44 * 1 = msb 1 bit
45 * P = bit LDBL_MANT_DIG-1 bits to the right of 1
46 * Q = bit LDBL_MANT_DIG bits to the right of 1
47 * R = "or" of all bits to the right of Q
48 */
49 switch (sd)
50 {
51 case LDBL_MANT_DIG + 1:
52 a <<= 1;
53 break;
54 case LDBL_MANT_DIG + 2:
55 break;
56 default:
57 a = ((tu_int)a >> (sd - (LDBL_MANT_DIG+2))) |
58 ((a & ((tu_int)(-1) >> ((N + LDBL_MANT_DIG+2) - sd))) != 0);
59 };
60 /* finish: */
61 a |= (a & 4) != 0; /* Or P into R */
62 ++a; /* round - this step may add a significant bit */
63 a >>= 2; /* dump Q and R */
64 /* a is now rounded to LDBL_MANT_DIG or LDBL_MANT_DIG+1 bits */
65 if (a & ((tu_int)1 << LDBL_MANT_DIG))
66 {
67 a >>= 1;
68 ++e;
69 }
70 /* a is now rounded to LDBL_MANT_DIG bits */
71 }
72 else
73 {
74 a <<= (LDBL_MANT_DIG - sd);
75 /* a is now rounded to LDBL_MANT_DIG bits */
76 }
77 long_double_bits fb;
78 fb.u.high.s.low = ((su_int)s & 0x8000) | /* sign */
79 (e + 16383); /* exponent */
80 fb.u.low.all = (du_int)a; /* mantissa */
81 return fb.f;
82 }
83
84 #endif /* CRT_HAS_128BIT */
85