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1 /* ===-- floatundidf.c - Implement __floatundidf ---------------------------===
2  *
3  *                     The LLVM Compiler Infrastructure
4  *
5  * This file is distributed under the University of Illinois Open Source
6  * License. See LICENSE.TXT for details.
7  *
8  * ===----------------------------------------------------------------------===
9  *
10  * This file implements __floatundidf for the compiler_rt library.
11  *
12  * ===----------------------------------------------------------------------===
13  */
14 
15 #include "int_lib.h"
16 #include <float.h>
17 
18 /* Returns: convert a to a double, rounding toward even. */
19 
20 /* Assumption: double is a IEEE 64 bit floating point type
21  *             du_int is a 64 bit integral type
22  */
23 
24 /* seee eeee eeee mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm */
25 
26 #ifndef __SOFT_FP__
27 /* Support for systems that have hardware floating-point; we'll set the inexact flag
28  * as a side-effect of this computation.
29  */
30 
31 #include <stdint.h>
32 
33 double
__floatundidf(du_int a)34 __floatundidf(du_int a)
35 {
36 	static const double twop52 = 0x1.0p52;
37 	static const double twop84 = 0x1.0p84;
38 	static const double twop84_plus_twop52 = 0x1.00000001p84;
39 
40 	union { uint64_t x; double d; } high = { .d = twop84 };
41 	union { uint64_t x; double d; } low = { .d = twop52 };
42 
43 	high.x |= a >> 32;
44 	low.x |= a & UINT64_C(0x00000000ffffffff);
45 
46 	const double result = (high.d - twop84_plus_twop52) + low.d;
47 	return result;
48 }
49 
50 #else
51 /* Support for systems that don't have hardware floating-point; there are no flags to
52  * set, and we don't want to code-gen to an unknown soft-float implementation.
53  */
54 
55 double
__floatundidf(du_int a)56 __floatundidf(du_int a)
57 {
58     if (a == 0)
59         return 0.0;
60     const unsigned N = sizeof(du_int) * CHAR_BIT;
61     int sd = N - __builtin_clzll(a);  /* number of significant digits */
62     int e = sd - 1;             /* exponent */
63     if (sd > DBL_MANT_DIG)
64     {
65         /*  start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
66          *  finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
67          *                                                12345678901234567890123456
68          *  1 = msb 1 bit
69          *  P = bit DBL_MANT_DIG-1 bits to the right of 1
70          *  Q = bit DBL_MANT_DIG bits to the right of 1
71          *  R = "or" of all bits to the right of Q
72          */
73         switch (sd)
74         {
75         case DBL_MANT_DIG + 1:
76             a <<= 1;
77             break;
78         case DBL_MANT_DIG + 2:
79             break;
80         default:
81             a = (a >> (sd - (DBL_MANT_DIG+2))) |
82                 ((a & ((du_int)(-1) >> ((N + DBL_MANT_DIG+2) - sd))) != 0);
83         };
84         /* finish: */
85         a |= (a & 4) != 0;  /* Or P into R */
86         ++a;  /* round - this step may add a significant bit */
87         a >>= 2;  /* dump Q and R */
88         /* a is now rounded to DBL_MANT_DIG or DBL_MANT_DIG+1 bits */
89         if (a & ((du_int)1 << DBL_MANT_DIG))
90         {
91             a >>= 1;
92             ++e;
93         }
94         /* a is now rounded to DBL_MANT_DIG bits */
95     }
96     else
97     {
98         a <<= (DBL_MANT_DIG - sd);
99         /* a is now rounded to DBL_MANT_DIG bits */
100     }
101     double_bits fb;
102     fb.u.high = ((e + 1023) << 20)      |        /* exponent */
103                 ((su_int)(a >> 32) & 0x000FFFFF); /* mantissa-high */
104     fb.u.low = (su_int)a;                         /* mantissa-low  */
105     return fb.f;
106 }
107 #endif
108