xref: /minix3/sys/external/bsd/compiler_rt/dist/lib/builtins/floattixf.c (revision 0a6a1f1d05b60e214de2f05a7310ddd1f0e590e7)
1*0a6a1f1dSLionel Sambuc /* ===-- floattixf.c - Implement __floattixf -------------------------------===
2*0a6a1f1dSLionel Sambuc  *
3*0a6a1f1dSLionel Sambuc  *      	       The LLVM Compiler Infrastructure
4*0a6a1f1dSLionel Sambuc  *
5*0a6a1f1dSLionel Sambuc  * This file is dual licensed under the MIT and the University of Illinois Open
6*0a6a1f1dSLionel Sambuc  * Source Licenses. See LICENSE.TXT for details.
7*0a6a1f1dSLionel Sambuc  *
8*0a6a1f1dSLionel Sambuc  * ===----------------------------------------------------------------------===
9*0a6a1f1dSLionel Sambuc  *
10*0a6a1f1dSLionel Sambuc  * This file implements __floattixf for the compiler_rt library.
11*0a6a1f1dSLionel Sambuc  *
12*0a6a1f1dSLionel Sambuc  * ===----------------------------------------------------------------------===
13*0a6a1f1dSLionel Sambuc  */
14*0a6a1f1dSLionel Sambuc 
15*0a6a1f1dSLionel Sambuc #include "int_lib.h"
16*0a6a1f1dSLionel Sambuc 
17*0a6a1f1dSLionel Sambuc #ifdef CRT_HAS_128BIT
18*0a6a1f1dSLionel Sambuc 
19*0a6a1f1dSLionel Sambuc /* Returns: convert a to a long double, rounding toward even. */
20*0a6a1f1dSLionel Sambuc 
21*0a6a1f1dSLionel Sambuc /* Assumption: long double is a IEEE 80 bit floating point type padded to 128 bits
22*0a6a1f1dSLionel Sambuc  *             ti_int is a 128 bit integral type
23*0a6a1f1dSLionel Sambuc  */
24*0a6a1f1dSLionel Sambuc 
25*0a6a1f1dSLionel Sambuc /* gggg gggg gggg gggg gggg gggg gggg gggg | gggg gggg gggg gggg seee eeee eeee eeee |
26*0a6a1f1dSLionel Sambuc  * 1mmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm
27*0a6a1f1dSLionel Sambuc  */
28*0a6a1f1dSLionel Sambuc 
29*0a6a1f1dSLionel Sambuc COMPILER_RT_ABI long double
__floattixf(ti_int a)30*0a6a1f1dSLionel Sambuc __floattixf(ti_int a)
31*0a6a1f1dSLionel Sambuc {
32*0a6a1f1dSLionel Sambuc     if (a == 0)
33*0a6a1f1dSLionel Sambuc         return 0.0;
34*0a6a1f1dSLionel Sambuc     const unsigned N = sizeof(ti_int) * CHAR_BIT;
35*0a6a1f1dSLionel Sambuc     const ti_int s = a >> (N-1);
36*0a6a1f1dSLionel Sambuc     a = (a ^ s) - s;
37*0a6a1f1dSLionel Sambuc     int sd = N - __clzti2(a);  /* number of significant digits */
38*0a6a1f1dSLionel Sambuc     int e = sd - 1;             /* exponent */
39*0a6a1f1dSLionel Sambuc     if (sd > LDBL_MANT_DIG)
40*0a6a1f1dSLionel Sambuc     {
41*0a6a1f1dSLionel Sambuc         /*  start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
42*0a6a1f1dSLionel Sambuc          *  finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
43*0a6a1f1dSLionel Sambuc          *                                                12345678901234567890123456
44*0a6a1f1dSLionel Sambuc          *  1 = msb 1 bit
45*0a6a1f1dSLionel Sambuc          *  P = bit LDBL_MANT_DIG-1 bits to the right of 1
46*0a6a1f1dSLionel Sambuc          *  Q = bit LDBL_MANT_DIG bits to the right of 1
47*0a6a1f1dSLionel Sambuc          *  R = "or" of all bits to the right of Q
48*0a6a1f1dSLionel Sambuc          */
49*0a6a1f1dSLionel Sambuc         switch (sd)
50*0a6a1f1dSLionel Sambuc         {
51*0a6a1f1dSLionel Sambuc         case LDBL_MANT_DIG + 1:
52*0a6a1f1dSLionel Sambuc             a <<= 1;
53*0a6a1f1dSLionel Sambuc             break;
54*0a6a1f1dSLionel Sambuc         case LDBL_MANT_DIG + 2:
55*0a6a1f1dSLionel Sambuc             break;
56*0a6a1f1dSLionel Sambuc         default:
57*0a6a1f1dSLionel Sambuc             a = ((tu_int)a >> (sd - (LDBL_MANT_DIG+2))) |
58*0a6a1f1dSLionel Sambuc                 ((a & ((tu_int)(-1) >> ((N + LDBL_MANT_DIG+2) - sd))) != 0);
59*0a6a1f1dSLionel Sambuc         };
60*0a6a1f1dSLionel Sambuc         /* finish: */
61*0a6a1f1dSLionel Sambuc         a |= (a & 4) != 0;  /* Or P into R */
62*0a6a1f1dSLionel Sambuc         ++a;  /* round - this step may add a significant bit */
63*0a6a1f1dSLionel Sambuc         a >>= 2;  /* dump Q and R */
64*0a6a1f1dSLionel Sambuc         /* a is now rounded to LDBL_MANT_DIG or LDBL_MANT_DIG+1 bits */
65*0a6a1f1dSLionel Sambuc         if (a & ((tu_int)1 << LDBL_MANT_DIG))
66*0a6a1f1dSLionel Sambuc         {
67*0a6a1f1dSLionel Sambuc             a >>= 1;
68*0a6a1f1dSLionel Sambuc             ++e;
69*0a6a1f1dSLionel Sambuc         }
70*0a6a1f1dSLionel Sambuc         /* a is now rounded to LDBL_MANT_DIG bits */
71*0a6a1f1dSLionel Sambuc     }
72*0a6a1f1dSLionel Sambuc     else
73*0a6a1f1dSLionel Sambuc     {
74*0a6a1f1dSLionel Sambuc         a <<= (LDBL_MANT_DIG - sd);
75*0a6a1f1dSLionel Sambuc         /* a is now rounded to LDBL_MANT_DIG bits */
76*0a6a1f1dSLionel Sambuc     }
77*0a6a1f1dSLionel Sambuc     long_double_bits fb;
78*0a6a1f1dSLionel Sambuc     fb.u.high.s.low = ((su_int)s & 0x8000) |        /* sign */
79*0a6a1f1dSLionel Sambuc                     (e + 16383);                  /* exponent */
80*0a6a1f1dSLionel Sambuc     fb.u.low.all = (du_int)a;                     /* mantissa */
81*0a6a1f1dSLionel Sambuc     return fb.f;
82*0a6a1f1dSLionel Sambuc }
83*0a6a1f1dSLionel Sambuc 
84*0a6a1f1dSLionel Sambuc #endif /* CRT_HAS_128BIT */
85