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      1 /* ===-- floattixf.c - Implement __floattixf -------------------------------===
      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 __floattixf for the compiler_rt library.
     11  *
     12  * ===----------------------------------------------------------------------===
     13  */
     14 
     15 #include "int_lib.h"
     16 
     17 #if __x86_64
     18 
     19 /* Returns: convert a to a long double, rounding toward even. */
     20 
     21 /* Assumption: long double is a IEEE 80 bit floating point type padded to 128 bits
     22  *             ti_int is a 128 bit integral type
     23  */
     24 
     25 /* gggg gggg gggg gggg gggg gggg gggg gggg | gggg gggg gggg gggg seee eeee eeee eeee |
     26  * 1mmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm
     27  */
     28 
     29 si_int __clzti2(ti_int a);
     30 
     31 long double
     32 __floattixf(ti_int a)
     33 {
     34     if (a == 0)
     35         return 0.0;
     36     const unsigned N = sizeof(ti_int) * CHAR_BIT;
     37     const ti_int s = a >> (N-1);
     38     a = (a ^ s) - s;
     39     int sd = N - __clzti2(a);  /* number of significant digits */
     40     int e = sd - 1;             /* exponent */
     41     if (sd > LDBL_MANT_DIG)
     42     {
     43         /*  start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
     44          *  finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
     45          *                                                12345678901234567890123456
     46          *  1 = msb 1 bit
     47          *  P = bit LDBL_MANT_DIG-1 bits to the right of 1
     48          *  Q = bit LDBL_MANT_DIG bits to the right of 1
     49          *  R = "or" of all bits to the right of Q
     50 	      */
     51         switch (sd)
     52         {
     53         case LDBL_MANT_DIG + 1:
     54             a <<= 1;
     55             break;
     56         case LDBL_MANT_DIG + 2:
     57             break;
     58         default:
     59             a = ((tu_int)a >> (sd - (LDBL_MANT_DIG+2))) |
     60                 ((a & ((tu_int)(-1) >> ((N + LDBL_MANT_DIG+2) - sd))) != 0);
     61         };
     62         /* finish: */
     63         a |= (a & 4) != 0;  /* Or P into R */
     64         ++a;  /* round - this step may add a significant bit */
     65         a >>= 2;  /* dump Q and R */
     66         /* a is now rounded to LDBL_MANT_DIG or LDBL_MANT_DIG+1 bits */
     67         if (a & ((tu_int)1 << LDBL_MANT_DIG))
     68         {
     69             a >>= 1;
     70             ++e;
     71         }
     72         /* a is now rounded to LDBL_MANT_DIG bits */
     73     }
     74     else
     75     {
     76         a <<= (LDBL_MANT_DIG - sd);
     77         /* a is now rounded to LDBL_MANT_DIG bits */
     78     }
     79     long_double_bits fb;
     80     fb.u.high.s.low = ((su_int)s & 0x8000) |        /* sign */
     81                     (e + 16383);                  /* exponent */
     82     fb.u.low.all = (du_int)a;                     /* mantissa */
     83     return fb.f;
     84 }
     85 
     86 #endif
     87