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📄 op-common.h

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  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);			\    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):		\  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);			\    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									\	  {									\	    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_ROUND(wc, X);							\	    _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)								\      {									\	X##_c = FP_CLS_NORMAL;						\									\	if ((X##_s = (r < 0)))						\	  r = -r;							\									\	if (rsize <= _FP_W_TYPE_SIZE)					\	  __FP_CLZ(X##_e, r);						\	else								\	  __FP_CLZ_2(X##_e, (_FP_W_TYPE)(r >> _FP_W_TYPE_SIZE), 	\		     (_FP_W_TYPE)r);					\	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(r, (X##_e - _FP_WFRACBITS_##fs), rsize);	\	r &= ~((rtype)1 << X##_e);					\	_FP_FRAC_DISASSEMBLE_##wc(X, ((unsigned rtype)r), rsize);	\	_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__ */

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