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      1 /* ===-- floatundidf.c - Implement __floatundidf ---------------------------===
      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 __floatundidf for the compiler_rt library.
     11  *
     12  * ===----------------------------------------------------------------------===
     13  */
     14 
     15 /* Returns: convert a to a double, rounding toward even. */
     16 
     17 /* Assumption: double is a IEEE 64 bit floating point type
     18  *             du_int is a 64 bit integral type
     19  */
     20 
     21 /* seee eeee eeee mmmm mmmm mmmm mmmm mmmm | mmmm mmmm mmmm mmmm mmmm mmmm mmmm mmmm */
     22 
     23 #include "int_lib.h"
     24 
     25 ARM_EABI_FNALIAS(ul2d, floatundidf)
     26 
     27 #ifndef __SOFT_FP__
     28 /* Support for systems that have hardware floating-point; we'll set the inexact flag
     29  * as a side-effect of this computation.
     30  */
     31 
     32 COMPILER_RT_ABI double
     33 __floatundidf(du_int a)
     34 {
     35     static const double twop52 = 4503599627370496.0; // 0x1.0p52
     36     static const double twop84 = 19342813113834066795298816.0; // 0x1.0p84
     37     static const double twop84_plus_twop52 = 19342813118337666422669312.0; // 0x1.00000001p84
     38 
     39     union { uint64_t x; double d; } high = { .d = twop84 };
     40     union { uint64_t x; double d; } low = { .d = twop52 };
     41 
     42     high.x |= a >> 32;
     43     low.x |= a & UINT64_C(0x00000000ffffffff);
     44 
     45     const double result = (high.d - twop84_plus_twop52) + low.d;
     46     return result;
     47 }
     48 
     49 #else
     50 /* Support for systems that don't have hardware floating-point; there are no flags to
     51  * set, and we don't want to code-gen to an unknown soft-float implementation.
     52  */
     53 
     54 COMPILER_RT_ABI double
     55 __floatundidf(du_int a)
     56 {
     57     if (a == 0)
     58         return 0.0;
     59     const unsigned N = sizeof(du_int) * CHAR_BIT;
     60     int sd = N - __builtin_clzll(a);  /* number of significant digits */
     61     int e = sd - 1;             /* exponent */
     62     if (sd > DBL_MANT_DIG)
     63     {
     64         /*  start:  0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
     65          *  finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
     66          *                                                12345678901234567890123456
     67          *  1 = msb 1 bit
     68          *  P = bit DBL_MANT_DIG-1 bits to the right of 1
     69          *  Q = bit DBL_MANT_DIG bits to the right of 1
     70          *  R = "or" of all bits to the right of Q
     71          */
     72         switch (sd)
     73         {
     74         case DBL_MANT_DIG + 1:
     75             a <<= 1;
     76             break;
     77         case DBL_MANT_DIG + 2:
     78             break;
     79         default:
     80             a = (a >> (sd - (DBL_MANT_DIG+2))) |
     81                 ((a & ((du_int)(-1) >> ((N + DBL_MANT_DIG+2) - sd))) != 0);
     82         };
     83         /* finish: */
     84         a |= (a & 4) != 0;  /* Or P into R */
     85         ++a;  /* round - this step may add a significant bit */
     86         a >>= 2;  /* dump Q and R */
     87         /* a is now rounded to DBL_MANT_DIG or DBL_MANT_DIG+1 bits */
     88         if (a & ((du_int)1 << DBL_MANT_DIG))
     89         {
     90             a >>= 1;
     91             ++e;
     92         }
     93         /* a is now rounded to DBL_MANT_DIG bits */
     94     }
     95     else
     96     {
     97         a <<= (DBL_MANT_DIG - sd);
     98         /* a is now rounded to DBL_MANT_DIG bits */
     99     }
    100     double_bits fb;
    101     fb.u.s.high = ((e + 1023) << 20)       |        /* exponent */
    102                   ((su_int)(a >> 32) & 0x000FFFFF); /* mantissa-high */
    103     fb.u.s.low = (su_int)a;                         /* mantissa-low  */
    104     return fb.f;
    105 }
    106 #endif
    107