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      1 /*===-- floatdisf.c - Implement __floatdisf -------------------------------===
      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 __floatdisf 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 float, rounding toward even.*/
     19 
     20 /* Assumption: float is a IEEE 32 bit floating point type
     21  *             di_int is a 64 bit integral type
     22  */
     23 
     24 /* seee eeee emmm mmmm mmmm mmmm mmmm mmmm */
     25 
     26 float
     27 __floatdisf(di_int a)
     28 {
     29     if (a == 0)
     30         return 0.0F;
     31     const unsigned N = sizeof(di_int) * CHAR_BIT;
     32     const di_int s = a >> (N-1);
     33     a = (a ^ s) - s;
     34     int sd = N - __builtin_clzll(a);  /* number of significant digits */
     35     int e = sd - 1;             /* exponent */
     36     if (sd > FLT_MANT_DIG)
     37     {
     38         /*  start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
     39          *  finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
     40          *                                                12345678901234567890123456
     41          *  1 = msb 1 bit
     42          *  P = bit FLT_MANT_DIG-1 bits to the right of 1
     43          *  Q = bit FLT_MANT_DIG bits to the right of 1
     44          *  R = "or" of all bits to the right of Q
     45          */
     46         switch (sd)
     47         {
     48         case FLT_MANT_DIG + 1:
     49             a <<= 1;
     50             break;
     51         case FLT_MANT_DIG + 2:
     52             break;
     53         default:
     54             a = ((du_int)a >> (sd - (FLT_MANT_DIG+2))) |
     55                 ((a & ((du_int)(-1) >> ((N + FLT_MANT_DIG+2) - sd))) != 0);
     56         };
     57         /* finish: */
     58         a |= (a & 4) != 0;  /* Or P into R */
     59         ++a;  /* round - this step may add a significant bit */
     60         a >>= 2;  /* dump Q and R */
     61         /* a is now rounded to FLT_MANT_DIG or FLT_MANT_DIG+1 bits */
     62         if (a & ((du_int)1 << FLT_MANT_DIG))
     63         {
     64             a >>= 1;
     65             ++e;
     66         }
     67         /* a is now rounded to FLT_MANT_DIG bits */
     68     }
     69     else
     70     {
     71         a <<= (FLT_MANT_DIG - sd);
     72         /* a is now rounded to FLT_MANT_DIG bits */
     73     }
     74     float_bits fb;
     75     fb.u = ((su_int)s & 0x80000000) |  /* sign */
     76            ((e + 127) << 23)       |  /* exponent */
     77            ((su_int)a & 0x007FFFFF);   /* mantissa */
     78     return fb.f;
     79 }
     80