gcc/libhsail-rt/rt/fp16.c

/* Half-float conversion routines.  Code mostly borrowed from the ARM's
   builtin function.

   Copyright (C) 2008-2020 Free Software Foundation, Inc.
   Contributed by CodeSourcery.

   This file is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 3, or (at your option) any
   later version.

   This file is distributed in the hope that it will be useful, but
   WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   General Public License for more details.

   Under Section 7 of GPL version 3, you are granted additional
   permissions described in the GCC Runtime Library Exception, version
   3.1, as published by the Free Software Foundation.

   You should have received a copy of the GNU General Public License and
   a copy of the GCC Runtime Library Exception along with this program;
   see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
   <http://www.gnu.org/licenses/>.  */

static inline unsigned short
__gnu_f2h_internal (unsigned int a, int ieee)
{
  unsigned short sign = (a >> 16) & 0x8000;
  int aexp = (a >> 23) & 0xff;
  unsigned int mantissa = a & 0x007fffff;
  unsigned int mask;
  unsigned int increment;

  if (aexp == 0xff)
    {
      if (!ieee)
	return sign;
      if (mantissa == 0)
	return sign | 0x7c00; /* Infinity.  */
      /* Remaining cases are NaNs.  Convert SNaN to QNaN.  */
      return sign | 0x7e00 | (mantissa >> 13);
    }

  if (aexp == 0 && mantissa == 0)
    return sign;

  aexp -= 127;

  /* Decimal point between bits 22 and 23.  */
  mantissa |= 0x00800000;
  if (aexp < -14)
    {
      mask = 0x00ffffff;
      if (aexp >= -25)
	mask >>= 25 + aexp;
    }
  else
    mask = 0x00001fff;

  /* Round.  */
  if (mantissa & mask)
    {
      increment = (mask + 1) >> 1;
      if ((mantissa & mask) == increment)
	increment = mantissa & (increment << 1);
      mantissa += increment;
      if (mantissa >= 0x01000000)
	{
	  mantissa >>= 1;
	  aexp++;
	}
    }

  if (ieee)
    {
      if (aexp > 15)
	return sign | 0x7c00;
    }
  else
    {
      if (aexp > 16)
	return sign | 0x7fff;
    }

  if (aexp < -24)
    return sign;

  if (aexp < -14)
    {
      mantissa >>= -14 - aexp;
      aexp = -14;
    }

  /* We leave the leading 1 in the mantissa, and subtract one
     from the exponent bias to compensate.  */
  return sign | (((aexp + 14) << 10) + (mantissa >> 13));
}

static unsigned int
__gnu_h2f_internal (unsigned short a, int ieee)
{
  unsigned int sign = (unsigned int) (a & 0x8000) << 16;
  int aexp = (a >> 10) & 0x1f;
  unsigned int mantissa = a & 0x3ff;

  if (aexp == 0x1f && ieee)
    return sign | 0x7f800000 | (mantissa << 13);

  if (aexp == 0)
    {
      int shift;

      if (mantissa == 0)
	return sign;

      shift = __builtin_clz (mantissa) - 21;
      mantissa <<= shift;
      aexp = -shift;
    }

  return sign | (((aexp + 0x70) << 23) + (mantissa << 13));
}

unsigned short
__hsail_f32_to_f16 (unsigned int a)
{
  return __gnu_f2h_internal (a, 1);
}

unsigned int
__hsail_f16_to_f32 (unsigned short a)
{
  return __gnu_h2f_internal (a, 1);
}