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      1 /* ===-- floattidf.c - Implement __floattidf -------------------------------===
      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 __floattidf 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 double, rounding toward even.*/
     20 
     21 /* Assumption: double is a IEEE 64 bit floating point type
     22  *            ti_int is a 128 bit integral type
     23  */
     24 
     25 /* seee eeee eeee mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm */
     26 
     27 COMPILER_RT_ABI double
     28 __floattidf(ti_int a)
     29 {
     30     if (a == 0)
     31         return 0.0;
     32     const unsigned N = sizeof(ti_int) * CHAR_BIT;
     33     const ti_int s = a >> (N-1);
     34     a = (a ^ s) - s;
     35     int sd = N - __clzti2(a);  /* number of significant digits */
     36     int e = sd - 1;             /* exponent */
     37     if (sd > DBL_MANT_DIG)
     38     {
     39         /* start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
     40          *  finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
     41          *                                               12345678901234567890123456
     42          * 1 = msb 1 bit
     43          * P = bit DBL_MANT_DIG-1 bits to the right of 1
     44          * Q = bit DBL_MANT_DIG bits to the right of 1
     45          * R = "or" of all bits to the right of Q
     46          */
     47         switch (sd)
     48         {
     49         case DBL_MANT_DIG + 1:
     50             a <<= 1;
     51             break;
     52         case DBL_MANT_DIG + 2:
     53             break;
     54         default:
     55             a = ((tu_int)a >> (sd - (DBL_MANT_DIG+2))) |
     56                 ((a & ((tu_int)(-1) >> ((N + DBL_MANT_DIG+2) - sd))) != 0);
     57         };
     58         /* finish: */
     59         a |= (a & 4) != 0;  /* Or P into R */
     60         ++a;  /* round - this step may add a significant bit */
     61         a >>= 2;  /* dump Q and R */
     62         /* a is now rounded to DBL_MANT_DIG or DBL_MANT_DIG+1 bits */
     63         if (a & ((tu_int)1 << DBL_MANT_DIG))
     64         {
     65             a >>= 1;
     66             ++e;
     67         }
     68         /* a is now rounded to DBL_MANT_DIG bits */
     69     }
     70     else
     71     {
     72         a <<= (DBL_MANT_DIG - sd);
     73         /* a is now rounded to DBL_MANT_DIG bits */
     74     }
     75     double_bits fb;
     76     fb.u.s.high = ((su_int)s & 0x80000000) |        /* sign */
     77                 ((e + 1023) << 20)      |        /* exponent */
     78                 ((su_int)(a >> 32) & 0x000FFFFF); /* mantissa-high */
     79     fb.u.s.low = (su_int)a;                         /* mantissa-low */
     80     return fb.f;
     81 }
     82 
     83 #endif /* CRT_HAS_128BIT */
     84