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      1 /* ===-- floatundidf.c - Implement __floatundidf ---------------------------===
      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 __floatundidf 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 double, rounding toward even. */
     19 
     20 /* Assumption: double is a IEEE 64 bit floating point type
     21  *             du_int is a 64 bit integral type
     22  */
     23 
     24 /* seee eeee eeee mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm */
     25 
     26 #ifndef __SOFT_FP__
     27 /* Support for systems that have hardware floating-point; we'll set the inexact flag
     28  * as a side-effect of this computation.
     29  */
     30 
     31 #include <stdint.h>
     32 
     33 double
     34 __floatundidf(du_int a)
     35 {
     36 	static const double twop52 = 0x1.0p52;
     37 	static const double twop84 = 0x1.0p84;
     38 	static const double twop84_plus_twop52 = 0x1.00000001p84;
     39 
     40 	union { uint64_t x; double d; } high = { .d = twop84 };
     41 	union { uint64_t x; double d; } low = { .d = twop52 };
     42 
     43 	high.x |= a >> 32;
     44 	low.x |= a & UINT64_C(0x00000000ffffffff);
     45 
     46 	const double result = (high.d - twop84_plus_twop52) + low.d;
     47 	return result;
     48 }
     49 
     50 #else
     51 /* Support for systems that don't have hardware floating-point; there are no flags to
     52  * set, and we don't want to code-gen to an unknown soft-float implementation.
     53  */
     54 
     55 double
     56 __floatundidf(du_int a)
     57 {
     58     if (a == 0)
     59         return 0.0;
     60     const unsigned N = sizeof(du_int) * CHAR_BIT;
     61     int sd = N - __builtin_clzll(a);  /* number of significant digits */
     62     int e = sd - 1;             /* exponent */
     63     if (sd > DBL_MANT_DIG)
     64     {
     65         /*  start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
     66          *  finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
     67          *                                                12345678901234567890123456
     68          *  1 = msb 1 bit
     69          *  P = bit DBL_MANT_DIG-1 bits to the right of 1
     70          *  Q = bit DBL_MANT_DIG bits to the right of 1
     71          *  R = "or" of all bits to the right of Q
     72          */
     73         switch (sd)
     74         {
     75         case DBL_MANT_DIG + 1:
     76             a <<= 1;
     77             break;
     78         case DBL_MANT_DIG + 2:
     79             break;
     80         default:
     81             a = (a >> (sd - (DBL_MANT_DIG+2))) |
     82                 ((a & ((du_int)(-1) >> ((N + DBL_MANT_DIG+2) - sd))) != 0);
     83         };
     84         /* finish: */
     85         a |= (a & 4) != 0;  /* Or P into R */
     86         ++a;  /* round - this step may add a significant bit */
     87         a >>= 2;  /* dump Q and R */
     88         /* a is now rounded to DBL_MANT_DIG or DBL_MANT_DIG+1 bits */
     89         if (a & ((du_int)1 << DBL_MANT_DIG))
     90         {
     91             a >>= 1;
     92             ++e;
     93         }
     94         /* a is now rounded to DBL_MANT_DIG bits */
     95     }
     96     else
     97     {
     98         a <<= (DBL_MANT_DIG - sd);
     99         /* a is now rounded to DBL_MANT_DIG bits */
    100     }
    101     double_bits fb;
    102     fb.u.high = ((e + 1023) << 20)      |        /* exponent */
    103                 ((su_int)(a >> 32) & 0x000FFFFF); /* mantissa-high */
    104     fb.u.low = (su_int)a;                         /* mantissa-low  */
    105     return fb.f;
    106 }
    107 #endif
    108