cregit-Linux how code gets into the kernel

Release 4.12 include/math-emu/op-common.h

Directory: include/math-emu
/* Software floating-point emulation. Common operations.
   Copyright (C) 1997,1998,1999 Free Software Foundation, Inc.
   This file is part of the GNU C Library.
   Contributed by Richard Henderson (rth@cygnus.com),
                  Jakub Jelinek (jj@ultra.linux.cz),
                  David S. Miller (davem@redhat.com) and
                  Peter Maydell (pmaydell@chiark.greenend.org.uk).

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Library General Public License as
   published by the Free Software Foundation; either version 2 of the
   License, or (at your option) any later version.

   The GNU C Library 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
   Library General Public License for more details.

   You should have received a copy of the GNU Library General Public
   License along with the GNU C Library; see the file COPYING.LIB.  If
   not, write to the Free Software Foundation, Inc.,
   59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.  */

#ifndef __MATH_EMU_OP_COMMON_H__

#define __MATH_EMU_OP_COMMON_H__


#define _FP_DECL(wc, X)			\
  _FP_I_TYPE X##_c=0, X##_s=0, X##_e=0;   \
  _FP_FRAC_DECL_##wc(X)

/*
 * Finish truly unpacking a native fp value by classifying the kind
 * of fp value and normalizing both the exponent and the fraction.
 */


#define _FP_UNPACK_CANONICAL(fs, wc, X)					\
do {                                                                    \
  switch (X##_e)                                                        \
  {                                                                     \
  default:                                                              \
    _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs;                      \
    _FP_FRAC_SLL_##wc(X, _FP_WORKBITS);                                 \
    X##_e -= _FP_EXPBIAS_##fs;                                          \
    X##_c = FP_CLS_NORMAL;                                              \
    break;                                                              \
                                                                        \
  case 0:                                                               \
    if (_FP_FRAC_ZEROP_##wc(X))                                         \
      X##_c = FP_CLS_ZERO;                                              \
    else                                                                \
      {                                                                 \
	/* a denormalized number */					\
        _FP_I_TYPE _shift;                                              \
        _FP_FRAC_CLZ_##wc(_shift, X);                                   \
        _shift -= _FP_FRACXBITS_##fs;                                   \
        _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS));                    \
        X##_e -= _FP_EXPBIAS_##fs - 1 + _shift;                         \
        X##_c = FP_CLS_NORMAL;                                          \
        FP_SET_EXCEPTION(FP_EX_DENORM);                                 \
        if (FP_DENORM_ZERO)                                             \
          {                                                             \
            FP_SET_EXCEPTION(FP_EX_INEXACT);                            \
            X##_c = FP_CLS_ZERO;                                        \
          }                                                             \
      }                                                                 \
    break;                                                              \
                                                                        \
  case _FP_EXPMAX_##fs:                                                 \
    if (_FP_FRAC_ZEROP_##wc(X))                                         \
      X##_c = FP_CLS_INF;                                               \
    else                                                                \
      {                                                                 \
        X##_c = FP_CLS_NAN;                                             \
	/* Check for signaling NaN */					\
        if (!(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs))            \
          FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_SNAN);         \
      }                                                                 \
    break;                                                              \
  }                                                                     \
} while (0)

/*
 * Before packing the bits back into the native fp result, take care
 * of such mundane things as rounding and overflow.  Also, for some
 * kinds of fp values, the original parts may not have been fully
 * extracted -- but that is ok, we can regenerate them now.
 */


#define _FP_PACK_CANONICAL(fs, wc, X)				\
do {                                                            \
  switch (X##_c)                                                \
  {                                                             \
  case FP_CLS_NORMAL:                                           \
    X##_e += _FP_EXPBIAS_##fs;                                  \
    if (X##_e > 0)                                              \
      {                                                         \
        _FP_ROUND(wc, X);                                       \
        if (_FP_FRAC_OVERP_##wc(fs, X))                         \
          {                                                     \
            _FP_FRAC_CLEAR_OVERP_##wc(fs, X);                   \
            X##_e++;                                            \
          }                                                     \
        _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);                     \
        if (X##_e >= _FP_EXPMAX_##fs)                           \
          {                                                     \
	    /* overflow */					\
            switch (FP_ROUNDMODE)                               \
              {                                                 \
              case FP_RND_NEAREST:                              \
                X##_c = FP_CLS_INF;                             \
                break;                                          \
              case FP_RND_PINF:                                 \
                if (!X##_s) X##_c = FP_CLS_INF;                 \
                break;                                          \
              case FP_RND_MINF:                                 \
                if (X##_s) X##_c = FP_CLS_INF;                  \
                break;                                          \
              }                                                 \
            if (X##_c == FP_CLS_INF)                            \
              {                                                 \
		/* Overflow to infinity */			\
                X##_e = _FP_EXPMAX_##fs;                        \
                _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);        \
              }                                                 \
            else                                                \
              {                                                 \
		/* Overflow to maximum normal */		\
                X##_e = _FP_EXPMAX_##fs - 1;                    \
                _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc);         \
              }                                                 \
            FP_SET_EXCEPTION(FP_EX_OVERFLOW);                   \
            FP_SET_EXCEPTION(FP_EX_INEXACT);                    \
          }                                                     \
      }                                                         \
    else                                                        \
      {                                                         \
	/* we've got a denormalized number */			\
        X##_e = -X##_e + 1;                                     \
        if (X##_e <= _FP_WFRACBITS_##fs)                        \
          {                                                     \
            _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs);    \
            if (_FP_FRAC_HIGH_##fs(X)                           \
                & (_FP_OVERFLOW_##fs >> 1))                     \
              {                                                 \
                X##_e = 1;                                      \
                _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);        \
              }                                                 \
            else                                                \
              {                                                 \
                _FP_ROUND(wc, X);                               \
                if (_FP_FRAC_HIGH_##fs(X)                       \
                   & (_FP_OVERFLOW_##fs >> 1))                  \
                  {                                             \
                    X##_e = 1;                                  \
                    _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);    \
                    FP_SET_EXCEPTION(FP_EX_INEXACT);            \
                  }                                             \
                else                                            \
                  {                                             \
                    X##_e = 0;                                  \
                    _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);         \
                  }                                             \
              }                                                 \
            if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) ||          \
                (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW))     \
                FP_SET_EXCEPTION(FP_EX_UNDERFLOW);              \
          }                                                     \
        else                                                    \
          {                                                     \
	    /* underflow to zero */				\
            X##_e = 0;                                          \
            if (!_FP_FRAC_ZEROP_##wc(X))                        \
              {                                                 \
                _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);         \
                _FP_ROUND(wc, X);                               \
                _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS);        \
              }                                                 \
            FP_SET_EXCEPTION(FP_EX_UNDERFLOW);                  \
          }                                                     \
      }                                                         \
    break;                                                      \
                                                                \
  case FP_CLS_ZERO:                                             \
    X##_e = 0;                                                  \
    _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
    break;                                                      \
                                                                \
  case FP_CLS_INF:                                              \
    X##_e = _FP_EXPMAX_##fs;                                    \
    _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
    break;                                                      \
                                                                \
  case FP_CLS_NAN:                                              \
    X##_e = _FP_EXPMAX_##fs;                                    \
    if (!_FP_KEEPNANFRACP)                                      \
      {                                                         \
        _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs);                 \
        X##_s = _FP_NANSIGN_##fs;                               \
      }                                                         \
    else                                                        \
      _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs;            \
    break;                                                      \
  }                                                             \
} while (0)

/* This one accepts raw argument and not cooked,  returns
 * 1 if X is a signaling NaN.
 */

#define _FP_ISSIGNAN(fs, wc, X)					\
({                                                              \
  int __ret = 0;                                                \
  if (X##_e == _FP_EXPMAX_##fs)                                 \
    {                                                           \
      if (!_FP_FRAC_ZEROP_##wc(X)                               \
          && !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs))   \
        __ret = 1;                                              \
    }                                                           \
  __ret;                                                        \
})





/*
 * Main addition routine.  The input values should be cooked.
 */


#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP)				     \
do {                                                                         \
  switch (_FP_CLS_COMBINE(X##_c, Y##_c))                                     \
  {                                                                          \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):                         \
    {                                                                        \
      /* shift the smaller number so that its exponent matches the larger */ \
      _FP_I_TYPE diff = X##_e - Y##_e;                                       \
                                                                             \
      if (diff < 0)                                                          \
        {                                                                    \
          diff = -diff;                                                      \
          if (diff <= _FP_WFRACBITS_##fs)                                    \
            _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs);                  \
          else if (!_FP_FRAC_ZEROP_##wc(X))                                  \
            _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);                          \
          R##_e = Y##_e;                                                     \
        }                                                                    \
      else                                                                   \
        {                                                                    \
          if (diff > 0)                                                      \
            {                                                                \
              if (diff <= _FP_WFRACBITS_##fs)                                \
                _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs);              \
              else if (!_FP_FRAC_ZEROP_##wc(Y))                              \
                _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc);                      \
            }                                                                \
          R##_e = X##_e;                                                     \
        }                                                                    \
                                                                             \
      R##_c = FP_CLS_NORMAL;                                                 \
                                                                             \
      if (X##_s == Y##_s)                                                    \
        {                                                                    \
          R##_s = X##_s;                                                     \
          _FP_FRAC_ADD_##wc(R, X, Y);                                        \
          if (_FP_FRAC_OVERP_##wc(fs, R))                                    \
            {                                                                \
              _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);                   \
              R##_e++;                                                       \
            }                                                                \
        }                                                                    \
      else                                                                   \
        {                                                                    \
          R##_s = X##_s;                                                     \
          _FP_FRAC_SUB_##wc(R, X, Y);                                        \
          if (_FP_FRAC_ZEROP_##wc(R))                                        \
            {                                                                \
	      /* return an exact zero */				     \
              if (FP_ROUNDMODE == FP_RND_MINF)                               \
                R##_s |= Y##_s;                                              \
              else                                                           \
                R##_s &= Y##_s;                                              \
              R##_c = FP_CLS_ZERO;                                           \
            }                                                                \
          else                                                               \
            {                                                                \
              if (_FP_FRAC_NEGP_##wc(R))                                     \
                {                                                            \
                  _FP_FRAC_SUB_##wc(R, Y, X);                                \
                  R##_s = Y##_s;                                             \
                }                                                            \
                                                                             \
	      /* renormalize after subtraction */			     \
              _FP_FRAC_CLZ_##wc(diff, R);                                    \
              diff -= _FP_WFRACXBITS_##fs;                                   \
              if (diff)                                                      \
                {                                                            \
                  R##_e -= diff;                                             \
                  _FP_FRAC_SLL_##wc(R, diff);                                \
                }                                                            \
            }                                                                \
        }                                                                    \
      break;                                                                 \
    }                                                                        \
                                                                             \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):                               \
    _FP_CHOOSENAN(fs, wc, R, X, Y, OP);                                      \
    break;                                                                   \
                                                                             \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):                           \
    R##_e = X##_e;                                                           \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):                            \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):                               \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):                              \
    _FP_FRAC_COPY_##wc(R, X);                                                \
    R##_s = X##_s;                                                           \
    R##_c = X##_c;                                                           \
    break;                                                                   \
                                                                             \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):                           \
    R##_e = Y##_e;                                                           \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):                            \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):                               \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):                              \
    _FP_FRAC_COPY_##wc(R, Y);                                                \
    R##_s = Y##_s;                                                           \
    R##_c = Y##_c;                                                           \
    break;                                                                   \
                                                                             \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):                               \
    if (X##_s != Y##_s)                                                      \
      {                                                                      \
	/* +INF + -INF => NAN */					     \
        _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                              \
        R##_s = _FP_NANSIGN_##fs;                                            \
        R##_c = FP_CLS_NAN;                                                  \
        FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_ISI);                 \
        break;                                                               \
      }                                                                      \
    /* FALLTHRU */							     \
                                                                             \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):                            \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):                              \
    R##_s = X##_s;                                                           \
    R##_c = FP_CLS_INF;                                                      \
    break;                                                                   \
                                                                             \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):                            \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):                              \
    R##_s = Y##_s;                                                           \
    R##_c = FP_CLS_INF;                                                      \
    break;                                                                   \
                                                                             \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):                             \
    /* make sure the sign is correct */					     \
    if (FP_ROUNDMODE == FP_RND_MINF)                                         \
      R##_s = X##_s | Y##_s;                                                 \
    else                                                                     \
      R##_s = X##_s & Y##_s;                                                 \
    R##_c = FP_CLS_ZERO;                                                     \
    break;                                                                   \
                                                                             \
  default:                                                                   \
    abort();                                                                 \
  }                                                                          \
} while (0)


#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+')

#define _FP_SUB(fs, wc, R, X, Y)					     \
  do {                                                                         \
    if (Y##_c != FP_CLS_NAN) Y##_s ^= 1;                                     \
    _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-');                                  \
  } while (0)


/*
 * Main negation routine.  FIXME -- when we care about setting exception
 * bits reliably, this will not do.  We should examine all of the fp classes.
 */


#define _FP_NEG(fs, wc, R, X)		\
  do {                                    \
    _FP_FRAC_COPY_##wc(R, X);           \
    R##_c = X##_c;                      \
    R##_e = X##_e;                      \
    R##_s = 1 ^ X##_s;                  \
  } while (0)


/*
 * Main multiplication routine.  The input values should be cooked.
 */


#define _FP_MUL(fs, wc, R, X, Y)			\
do {                                                    \
  R##_s = X##_s ^ Y##_s;                                \
  switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
  {                                                     \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
    R##_c = FP_CLS_NORMAL;                              \
    R##_e = X##_e + Y##_e + 1;                          \
                                                        \
    _FP_MUL_MEAT_##fs(R,X,Y);                           \
                                                        \
    if (_FP_FRAC_OVERP_##wc(fs, R))                     \
      _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);      \
    else                                                \
      R##_e--;                                          \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
    _FP_CHOOSENAN(fs, wc, R, X, Y, '*');                \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
    R##_s = X##_s;                                      \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
    _FP_FRAC_COPY_##wc(R, X);                           \
    R##_c = X##_c;                                      \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
    R##_s = Y##_s;                                      \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
    _FP_FRAC_COPY_##wc(R, Y);                           \
    R##_c = Y##_c;                                      \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
    R##_s = _FP_NANSIGN_##fs;                           \
    R##_c = FP_CLS_NAN;                                 \
    _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
    FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_IMZ);\
    break;                                              \
                                                        \
  default:                                              \
    abort();                                            \
  }                                                     \
} while (0)


/*
 * Main division routine.  The input values should be cooked.
 */


#define _FP_DIV(fs, wc, R, X, Y)			\
do {                                                    \
  R##_s = X##_s ^ Y##_s;                                \
  switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
  {                                                     \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
    R##_c = FP_CLS_NORMAL;                              \
    R##_e = X##_e - Y##_e;                              \
                                                        \
    _FP_DIV_MEAT_##fs(R,X,Y);                           \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
    _FP_CHOOSENAN(fs, wc, R, X, Y, '/');                \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
  case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
    R##_s = X##_s;                                      \
    _FP_FRAC_COPY_##wc(R, X);                           \
    R##_c = X##_c;                                      \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
    R##_s = Y##_s;                                      \
    _FP_FRAC_COPY_##wc(R, Y);                           \
    R##_c = Y##_c;                                      \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
    R##_c = FP_CLS_ZERO;                                \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
    FP_SET_EXCEPTION(FP_EX_DIVZERO);                    \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
    R##_c = FP_CLS_INF;                                 \
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
    R##_s = _FP_NANSIGN_##fs;                           \
    R##_c = FP_CLS_NAN;                                 \
    _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
    FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_IDI);\
    break;                                              \
                                                        \
  case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
    R##_s = _FP_NANSIGN_##fs;                           \
    R##_c = FP_CLS_NAN;                                 \
    _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
    FP_SET_EXCEPTION(FP_EX_INVALID | FP_EX_INVALID_ZDZ);\
    break;                                              \
                                                        \
  default:                                              \
    abort();                                            \
  }                                                     \
} while (0)


/*
 * Main differential comparison routine.  The inputs should be raw not
 * cooked.  The return is -1,0,1 for normal values, 2 otherwise.
 */


#define _FP_CMP(fs, wc, ret, X, Y, un)					\
  do {                                                                    \
    /* NANs are unordered */						\
    if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))           \
        || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))       \
      {                                                                 \
        ret = un;                                                       \
      }                                                                 \
    else                                                                \
      {                                                                 \
        int __is_zero_x;                                                \
        int __is_zero_y;                                                \
                                                                        \
        __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0;       \
        __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0;       \
                                                                        \
        if (__is_zero_x && __is_zero_y)                                 \
                ret = 0;                                                \
        else if (__is_zero_x)                                           \
                ret = Y##_s ? 1 : -1;                                   \
        else if (__is_zero_y)                                           \
                ret = X##_s ? -1 : 1;                                   \
        else if (X##_s != Y##_s)                                        \
          ret = X##_s ? -1 : 1;                                         \
        else if (X##_e > Y##_e)                                         \
          ret = X##_s ? -1 : 1;                                         \
        else if (X##_e < Y##_e)                                         \
          ret = X##_s ? 1 : -1;                                         \
        else if (_FP_FRAC_GT_##wc(X, Y))                                \
          ret = X##_s ? -1 : 1;                                         \
        else if (_FP_FRAC_GT_##wc(Y, X))                                \
          ret = X##_s ? 1 : -1;                                         \
        else                                                            \
          ret = 0;                                                      \
      }                                                                 \
  } while (0)


/* Simplification for strict equality.  */


#define _FP_CMP_EQ(fs, wc, ret, X, Y)					  \
  do {                                                                      \
    /* NANs are unordered */						  \
    if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))             \
        || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))         \
      {                                                                   \
        ret = 1;                                                          \
      }                                                                   \
    else                                                                  \
      {                                                                   \
        ret = !(X##_e == Y##_e                                            \
                && _FP_FRAC_EQ_##wc(X, Y)                                 \
                && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \
      }                                                                   \
  } while (0)

/*
 * Main square root routine.  The input value should be cooked.
 */


#define _FP_SQRT(fs, wc, R, X)						\
do {                                                                    \
    _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S);                       \
    _FP_W_TYPE q;                                                       \
    switch (X##_c)                                                      \
    {                                                                   \
    case FP_CLS_NAN:                                                    \
        _FP_FRAC_COPY_##wc(R, X);                                       \
        R##_s = X##_s;                                                  \
        R##_c = FP_CLS_NAN;                                             \
        break;                                                          \
    case FP_CLS_INF:                                                    \
        if (X##_s)                                                      \
          {                                                             \
            R##_s = _FP_NANSIGN_##fs;                                   \
            R##_c = FP_CLS_NAN; /* NAN */				\
            _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                     \
            FP_SET_EXCEPTION(FP_EX_INVALID);                            \
          }                                                             \
        else                                                            \
          {                                                             \
            R##_s = 0;                                                  \
            R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */			\
          }                                                             \
        break;                                                          \
    case FP_CLS_ZERO:                                                   \
        R##_s = X##_s;                                                  \
        R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */			\
        break;                                                          \
    case FP_CLS_NORMAL:                                                 \
        R##_s = 0;                                                      \
        if (X##_s)                                                      \
          {                                                             \
            R##_c = FP_CLS_NAN; /* sNAN */				\
            R##_s = _FP_NANSIGN_##fs;                                   \
            _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                     \
            FP_SET_EXCEPTION(FP_EX_INVALID);                            \
            break;                                                      \
          }                                                             \
        R##_c = FP_CLS_NORMAL;                                          \
        if (X##_e & 1)                                                  \
          _FP_FRAC_SLL_##wc(X, 1);                                      \
        R##_e = X##_e >> 1;                                             \
        _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc);                        \
        _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc);                        \
        q = _FP_OVERFLOW_##fs >> 1;                                     \
        _FP_SQRT_MEAT_##wc(R, S, T, X, q);                              \
    }                                                                   \
  } while (0)

/*
 * Convert from FP to integer
 */

/* RSIGNED can have following values:
 * 0:  the number is required to be 0..(2^rsize)-1, if not, NV is set plus
 *     the result is either 0 or (2^rsize)-1 depending on the sign in such case.
 * 1:  the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
 *     set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
 *     on the sign in such case.
 * 2:  the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
 *     set plus the result is truncated to fit into destination.
 * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is
 *     set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
 *     on the sign in such case.
 */

#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned)				\
  do {                                                                            \
    switch (X##_c)                                                              \
      {                                                                         \
      case FP_CLS_NORMAL:                                                       \
        if (X##_e < 0)                                                          \
          {                                                                     \
            FP_SET_EXCEPTION(FP_EX_INEXACT);                                    \
          case FP_CLS_ZERO:                                                     \
            r = 0;                                                              \
          }                                                                     \
        else if (X##_e >= rsize - (rsigned > 0 || X##_s)                        \
                 || (!rsigned && X##_s))                                        \
          {	/* overflow */							\
          case FP_CLS_NAN:                                                      \
          case FP_CLS_INF:                                                      \
            if (rsigned == 2)                                                   \
              {                                                                 \
                if (X##_c != FP_CLS_NORMAL                                      \
                    || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs)                 \
                  r = 0;                                                        \
                else                                                            \
                  {                                                             \
                    _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1));     \
                    _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
                  }                                                             \
              }                                                                 \
            else if (rsigned)                                                   \
              {                                                                 \
                r = 1;                                                          \
                r <<= rsize - 1;                                                \
                r -= 1 - X##_s;                                                 \
              }                                                                 \
            else                                                                \
              {                                                                 \
                r = 0;                                                          \
                if (!X##_s)                                                     \
                  r = ~r;                                                       \
              }                                                                 \
            FP_SET_EXCEPTION(FP_EX_INVALID);                                    \
          }                                                                     \
        else                                                                    \
          {                                                                     \
            if (_FP_W_TYPE_SIZE*wc < rsize)                                     \
              {                                                                 \
                _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                            \
                r <<= X##_e - _FP_WFRACBITS_##fs;                               \
              }                                                                 \
            else                                                                \
              {                                                                 \
                if (X##_e >= _FP_WFRACBITS_##fs)                                \
                  _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1));       \
                else if (X##_e < _FP_WFRACBITS_##fs - 1)                        \
                  {                                                             \
                    _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2),      \
                                      _FP_WFRACBITS_##fs);                      \
                    if (_FP_FRAC_LOW_##wc(X) & 1)                               \
                      FP_SET_EXCEPTION(FP_EX_INEXACT);                          \
                    _FP_FRAC_SRL_##wc(X, 1);                                    \
                  }                                                             \
                _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                            \
              }                                                                 \
            if (rsigned && X##_s)                                               \
              r = -r;                                                           \
          }                                                                     \
        break;                                                                  \
      }                                                                         \
  } while (0)


#define _FP_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned)				\
  do {                                                                            \
    r = 0;                                                                      \
    switch (X##_c)                                                              \
      {                                                                         \
      case FP_CLS_NORMAL:                                                       \
        if (X##_e >= _FP_FRACBITS_##fs - 1)                                     \
          {                                                                     \
            if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs)                         \
              {                                                                 \
                if (X##_e >= _FP_WFRACBITS_##fs - 1)                            \
                  {                                                             \
                    _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
                    r <<= X##_e - _FP_WFRACBITS_##fs + 1;                       \
                  }                                                             \
                else                                                            \
                  {                                                             \
                    _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e                   \
                                      + _FP_FRACBITS_##fs - 1);                 \
                    _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
                  }                                                             \
              }                                                                 \
          }                                                                     \
        else                                                                    \
          {                                                                     \
            int _lz0, _lz1;                                                     \
            if (X##_e <= -_FP_WORKBITS - 1)                                     \
              _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);                           \
            else                                                                \
              _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e,               \
                                _FP_WFRACBITS_##fs);                            \
            _FP_FRAC_CLZ_##wc(_lz0, X);                                         \
            _FP_ROUND(wc, X);                                                   \
            _FP_FRAC_CLZ_##wc(_lz1, X);                                         \
            if (_lz1 < _lz0)                                                    \
              X##_e++; /* For overflow detection.  */				\
            _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);                                 \
            _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                                \
          }                                                                     \
        if (rsigned && X##_s)                                                   \
          r = -r;                                                               \
        if (X##_e >= rsize - (rsigned > 0 || X##_s)                             \
            || (!rsigned && X##_s))                                             \
          {	/* overflow */							\
          case FP_CLS_NAN:                                                      \
          case FP_CLS_INF:                                                      \
            if (!rsigned)                                                       \
              {                                                                 \
                r = 0;                                                          \
                if (!X##_s)                                                     \
                  r = ~r;                                                       \
              }                                                                 \
            else if (rsigned != 2)                                              \
              {                                                                 \
                r = 1;                                                          \
                r <<= rsize - 1;                                                \
                r -= 1 - X##_s;                                                 \
              }                                                                 \
            FP_SET_EXCEPTION(FP_EX_INVALID);                                    \
          }                                                                     \
        break;                                                                  \
      case FP_CLS_ZERO:                                                         \
        break;                                                                  \
      }                                                                         \
  } while (0)


#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype)			\
  do {                                                                    \
    if (r)                                                              \
      {                                                                 \
        unsigned rtype ur_;                                             \
        X##_c = FP_CLS_NORMAL;                                          \
                                                                        \
        if ((X##_s = (r < 0)))                                          \
          ur_ = (unsigned rtype) -r;                                    \
        else                                                            \
          ur_ = (unsigned rtype) r;                                     \
        if (rsize <= _FP_W_TYPE_SIZE)                                   \
          __FP_CLZ(X##_e, ur_);                                         \
        else                                                            \
          __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE),       \
                     (_FP_W_TYPE)ur_);                                  \
        if (rsize < _FP_W_TYPE_SIZE)                                    \
                X##_e -= (_FP_W_TYPE_SIZE - rsize);                     \
        X##_e = rsize - X##_e - 1;                                      \
                                                                        \
        if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs <= X##_e)   \
          __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\
        _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize);                       \
        if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0)                       \
          _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1));       \
      }                                                                 \
    else                                                                \
      {                                                                 \
        X##_c = FP_CLS_ZERO, X##_s = 0;                                 \
      }                                                                 \
  } while (0)



#define FP_CONV(dfs,sfs,dwc,swc,D,S)			\
  do {                                                    \
    _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S);        \
    D##_e = S##_e;                                      \
    D##_c = S##_c;                                      \
    D##_s = S##_s;                                      \
  } while (0)

/*
 * Helper primitives.
 */

/* Count leading zeros in a word.  */

#ifndef __FP_CLZ
#if _FP_W_TYPE_SIZE < 64
/* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */

#define __FP_CLZ(r, x)				\
  do {                                            \
    _FP_W_TYPE _t = (x);                        \
    r = _FP_W_TYPE_SIZE - 1;                    \
    if (_t > 0xffff) r -= 16;                   \
    if (_t > 0xffff) _t >>= 16;                 \
    if (_t > 0xff) r -= 8;                      \
    if (_t > 0xff) _t >>= 8;                    \
    if (_t & 0xf0) r -= 4;                      \
    if (_t & 0xf0) _t >>= 4;                    \
    if (_t & 0xc) r -= 2;                       \
    if (_t & 0xc) _t >>= 2;                     \
    if (_t & 0x2) r -= 1;                       \
  } while (0)
#else /* not _FP_W_TYPE_SIZE < 64 */

#define __FP_CLZ(r, x)				\
  do {                                            \
    _FP_W_TYPE _t = (x);                        \
    r = _FP_W_TYPE_SIZE - 1;                    \
    if (_t > 0xffffffff) r -= 32;               \
    if (_t > 0xffffffff) _t >>= 32;             \
    if (_t > 0xffff) r -= 16;                   \
    if (_t > 0xffff) _t >>= 16;                 \
    if (_t > 0xff) r -= 8;                      \
    if (_t > 0xff) _t >>= 8;                    \
    if (_t & 0xf0) r -= 4;                      \
    if (_t & 0xf0) _t >>= 4;                    \
    if (_t & 0xc) r -= 2;                       \
    if (_t & 0xc) _t >>= 2;                     \
    if (_t & 0x2) r -= 1;                       \
  } while (0)
#endif /* not _FP_W_TYPE_SIZE < 64 */
#endif /* ndef __FP_CLZ */


#define _FP_DIV_HELP_imm(q, r, n, d)		\
  do {                                            \
    q = n / d, r = n % d;                       \
  } while (0)

#endif /* __MATH_EMU_OP_COMMON_H__ */

Overall Contributors

PersonTokensPropCommitsCommitProp
Linus Torvalds (pre-git)35893.96%637.50%
Linus Torvalds92.36%16.25%
Joseph S. Myers51.31%212.50%
Kumar Gala41.05%212.50%
David S. Miller30.79%318.75%
Mikael Pettersson10.26%16.25%
Adam Buchbinder10.26%16.25%
Total381100.00%16100.00%
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