1 //===-- floattisf.c - Implement __floattisf -------------------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 //
9 // This file implements __floattisf for the compiler_rt library.
10 //
11 //===----------------------------------------------------------------------===//
12 
13 #include "int_lib.h"
14 
15 #ifdef CRT_HAS_128BIT
16 
17 // Returns: convert a to a float, rounding toward even.
18 
19 // Assumption: float is a IEEE 32 bit floating point type
20 //             ti_int is a 128 bit integral type
21 
22 // seee eeee emmm mmmm mmmm mmmm mmmm mmmm
23 
__floattisf(ti_int a)24 COMPILER_RT_ABI float __floattisf(ti_int a) {
25   if (a == 0)
26     return 0.0F;
27   const unsigned N = sizeof(ti_int) * CHAR_BIT;
28   const ti_int s = a >> (N - 1);
29   a = (a ^ s) - s;
30   int sd = N - __clzti2(a); // number of significant digits
31   int e = sd - 1;           // exponent
32   if (sd > FLT_MANT_DIG) {
33     //  start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
34     // finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
35     //                                                12345678901234567890123456
36     //  1 = msb 1 bit
37     //  P = bit FLT_MANT_DIG-1 bits to the right of 1
38     //  Q = bit FLT_MANT_DIG bits to the right of 1
39     //  R = "or" of all bits to the right of Q
40     switch (sd) {
41     case FLT_MANT_DIG + 1:
42       a <<= 1;
43       break;
44     case FLT_MANT_DIG + 2:
45       break;
46     default:
47       a = ((tu_int)a >> (sd - (FLT_MANT_DIG + 2))) |
48           ((a & ((tu_int)(-1) >> ((N + FLT_MANT_DIG + 2) - sd))) != 0);
49     };
50     // finish:
51     a |= (a & 4) != 0; // Or P into R
52     ++a;               // round - this step may add a significant bit
53     a >>= 2;           // dump Q and R
54     // a is now rounded to FLT_MANT_DIG or FLT_MANT_DIG+1 bits
55     if (a & ((tu_int)1 << FLT_MANT_DIG)) {
56       a >>= 1;
57       ++e;
58     }
59     // a is now rounded to FLT_MANT_DIG bits
60   } else {
61     a <<= (FLT_MANT_DIG - sd);
62     // a is now rounded to FLT_MANT_DIG bits
63   }
64   float_bits fb;
65   fb.u = ((su_int)s & 0x80000000) | // sign
66          ((e + 127) << 23) |        // exponent
67          ((su_int)a & 0x007FFFFF);  // mantissa
68   return fb.f;
69 }
70 
71 #endif // CRT_HAS_128BIT
72