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