arch/i386/math-emu/reg_add_sub.c

/*---------------------------------------------------------------------------+
 |  reg_add_sub.c                                                            |
 |                                                                           |
 | Functions to add or subtract two registers and put the result in a third. |
 |                                                                           |
 | Copyright (C) 1992,1993,1997                                              |
 |                  W. Metzenthen, 22 Parker St, Ormond, Vic 3163, Australia |
 |                  E-mail   billm@suburbia.net                              |
 |                                                                           |
 |                                                                           |
 +---------------------------------------------------------------------------*/

/*---------------------------------------------------------------------------+
 |  For each function, the destination may be any FPU_REG, including one of  |
 | the source FPU_REGs.                                                      |
 |  Each function returns 0 if the answer is o.k., otherwise a non-zero      |
 | value is returned, indicating either an exception condition or an         |
 | internal error.                                                           |
 +---------------------------------------------------------------------------*/

#include "exception.h"
#include "reg_constant.h"
#include "fpu_emu.h"
#include "control_w.h"
#include "fpu_system.h"

static
int add_sub_specials(FPU_REG const *a, u_char taga, u_char signa,
		     FPU_REG const *b, u_char tagb, u_char signb,
		     FPU_REG *dest, int deststnr, int control_w);

/*
  Operates on st(0) and st(n), or on st(0) and temporary data.
  The destination must be one of the source st(x).
  */
int FPU_add(FPU_REG const *b, u_char tagb, int deststnr, int control_w)
{
  FPU_REG *a = &st(0);
  FPU_REG *dest = &st(deststnr);
  u_char signb = getsign(b);
  u_char taga = FPU_gettag0();
  u_char signa = getsign(a);
  u_char saved_sign = getsign(dest);
  int diff, tag, expa, expb;
  
  if ( !(taga | tagb) )
    {
      expa = exponent(a);
      expb = exponent(b);

    valid_add:
      /* Both registers are valid */
      if (!(signa ^ signb))
	{
	  /* signs are the same */
	  tag = FPU_u_add(a, b, dest, control_w, signa, expa, expb);
	}
      else
	{
	  /* The signs are different, so do a subtraction */
	  diff = expa - expb;
	  if (!diff)
	    {
	      diff = a->sigh - b->sigh;  /* This works only if the ms bits
					    are identical. */
	      if (!diff)
		{
		  diff = a->sigl > b->sigl;
		  if (!diff)
		    diff = -(a->sigl < b->sigl);
		}
	    }
      
	  if (diff > 0)
	    {
	      tag = FPU_u_sub(a, b, dest, control_w, signa, expa, expb);
	    }
	  else if ( diff < 0 )
	    {
	      tag = FPU_u_sub(b, a, dest, control_w, signb, expb, expa);
	    }
	  else
	    {
	      FPU_copy_to_regi(&CONST_Z, TAG_Zero, deststnr);
	      /* sign depends upon rounding mode */
	      setsign(dest, ((control_w & CW_RC) != RC_DOWN)
		      ? SIGN_POS : SIGN_NEG);
	      return TAG_Zero;
	    }
	}

      if ( tag < 0 )
	{
	  setsign(dest, saved_sign);
	  return tag;
	}
      FPU_settagi(deststnr, tag);
      return tag;
    }

  if ( taga == TAG_Special )
    taga = FPU_Special(a);
  if ( tagb == TAG_Special )
    tagb = FPU_Special(b);

  if ( ((taga == TAG_Valid) && (tagb == TW_Denormal))
	    || ((taga == TW_Denormal) && (tagb == TAG_Valid))
	    || ((taga == TW_Denormal) && (tagb == TW_Denormal)) )
    {
      FPU_REG x, y;

      if ( denormal_operand() < 0 )
	return FPU_Exception;

      FPU_to_exp16(a, &x);
      FPU_to_exp16(b, &y);
      a = &x;
      b = &y;
      expa = exponent16(a);
      expb = exponent16(b);
      goto valid_add;
    }

  if ( (taga == TW_NaN) || (tagb == TW_NaN) )
    {
      if ( deststnr == 0 )
	return real_2op_NaN(b, tagb, deststnr, a);
      else
	return real_2op_NaN(a, taga, deststnr, a);
    }

  return add_sub_specials(a, taga, signa, b, tagb, signb,
			  dest, deststnr, control_w);
}


/* Subtract b from a.  (a-b) -> dest */
int FPU_sub(int flags, int rm, int control_w)
{
  FPU_REG const *a, *b;
  FPU_REG *dest;
  u_char taga, tagb, signa, signb, saved_sign, sign;
  int diff, tag = 0, expa, expb, deststnr;

  a = &st(0);
  taga = FPU_gettag0();

  deststnr = 0;
  if ( flags & LOADED )
    {
      b = (FPU_REG *)rm;
      tagb = flags & 0x0f;
    }
  else
    {
      b = &st(rm);
      tagb = FPU_gettagi(rm);

      if ( flags & DEST_RM )
	deststnr = rm;
    }

  signa = getsign(a);
  signb = getsign(b);

  if ( flags & REV )
    {
      signa ^= SIGN_NEG;
      signb ^= SIGN_NEG;
    }

  dest = &st(deststnr);
  saved_sign = getsign(dest);

  if ( !(taga | tagb) )
    {
      expa = exponent(a);
      expb = exponent(b);

    valid_subtract:
      /* Both registers are valid */

      diff = expa - expb;

      if (!diff)
	{
	  diff = a->sigh - b->sigh;  /* Works only if ms bits are identical */
	  if (!diff)
	    {
	      diff = a->sigl > b->sigl;
	      if (!diff)
		diff = -(a->sigl < b->sigl);
	    }
	}

      switch ( (((int)signa)*2 + signb) / SIGN_NEG )
	{
	case 0: /* P - P */
	case 3: /* N - N */
	  if (diff > 0)
	    {
	      /* |a| > |b| */
	      tag = FPU_u_sub(a, b, dest, control_w, signa, expa, expb);
	    }
	  else if ( diff == 0 )
	    {
	      FPU_copy_to_regi(&CONST_Z, TAG_Zero, deststnr);

	      /* sign depends upon rounding mode */
	      setsign(dest, ((control_w & CW_RC) != RC_DOWN)
		? SIGN_POS : SIGN_NEG);
	      return TAG_Zero;
	    }
	  else
	    {
	      sign = signa ^ SIGN_NEG;
	      tag = FPU_u_sub(b, a, dest, control_w, sign, expb, expa);
	    }
	  break;
	case 1: /* P - N */
	  tag = FPU_u_add(a, b, dest, control_w, SIGN_POS, expa, expb);
	  break;
	case 2: /* N - P */
	  tag = FPU_u_add(a, b, dest, control_w, SIGN_NEG, expa, expb);
	  break;
#ifdef PARANOID
	default:
	  EXCEPTION(EX_INTERNAL|0x111);
	  return -1;
#endif
	}
      if ( tag < 0 )
	{
	  setsign(dest, saved_sign);
	  return tag;
	}
      FPU_settagi(deststnr, tag);
      return tag;
    }

  if ( taga == TAG_Special )
    taga = FPU_Special(a);
  if ( tagb == TAG_Special )
    tagb = FPU_Special(b);

  if ( ((taga == TAG_Valid) && (tagb == TW_Denormal))
	    || ((taga == TW_Denormal) && (tagb == TAG_Valid))
	    || ((taga == TW_Denormal) && (tagb == TW_Denormal)) )
    {
      FPU_REG x, y;

      if ( denormal_operand() < 0 )
	return FPU_Exception;

      FPU_to_exp16(a, &x);
      FPU_to_exp16(b, &y);
      a = &x;
      b = &y;
      expa = exponent16(a);
      expb = exponent16(b);

      goto valid_subtract;
    }

  if ( (taga == TW_NaN) || (tagb == TW_NaN) )
    {
      FPU_REG const *d1, *d2;
      if ( flags & REV )
	{
	  d1 = b;
	  d2 = a;
	}
      else
	{
	  d1 = a;
	  d2 = b;
	}
      if ( flags & LOADED )
	return real_2op_NaN(b, tagb, deststnr, d1);
      if ( flags & DEST_RM )
	return real_2op_NaN(a, taga, deststnr, d2);
      else
	return real_2op_NaN(b, tagb, deststnr, d2);
    }

    return add_sub_specials(a, taga, signa, b, tagb, signb ^ SIGN_NEG,
			    dest, deststnr, control_w);
}


static
int add_sub_specials(FPU_REG const *a, u_char taga, u_char signa,
		     FPU_REG const *b, u_char tagb, u_char signb,
		     FPU_REG *dest, int deststnr, int control_w)
{
  if ( ((taga == TW_Denormal) || (tagb == TW_Denormal))
       && (denormal_operand() < 0) )
    return FPU_Exception;

  if (taga == TAG_Zero)
    {
      if (tagb == TAG_Zero)
	{
	  /* Both are zero, result will be zero. */
	  u_char different_signs = signa ^ signb;

	  FPU_copy_to_regi(a, TAG_Zero, deststnr);
	  if ( different_signs )
	    {
	      /* Signs are different. */
	      /* Sign of answer depends upon rounding mode. */
	      setsign(dest, ((control_w & CW_RC) != RC_DOWN)
		      ? SIGN_POS : SIGN_NEG);
	    }
	  else
	    setsign(dest, signa);  /* signa may differ from the sign of a. */
	  return TAG_Zero;
	}
      else
	{
	  reg_copy(b, dest);
	  if ( (tagb == TW_Denormal) && (b->sigh & 0x80000000) )
	    {
	      /* A pseudoDenormal, convert it. */
	      addexponent(dest, 1);
	      tagb = TAG_Valid;
	    }
	  else if ( tagb > TAG_Empty )
	    tagb = TAG_Special;
	  setsign(dest, signb);  /* signb may differ from the sign of b. */
	  FPU_settagi(deststnr, tagb);
	  return tagb;
	}
    }
  else if (tagb == TAG_Zero)
    {
      reg_copy(a, dest);
      if ( (taga == TW_Denormal) && (a->sigh & 0x80000000) )
	{
	  /* A pseudoDenormal */
	  addexponent(dest, 1);
	  taga = TAG_Valid;
	}
      else if ( taga > TAG_Empty )
	taga = TAG_Special;
      setsign(dest, signa);  /* signa may differ from the sign of a. */
      FPU_settagi(deststnr, taga);
      return taga;
    }
  else if (taga == TW_Infinity)
    {
      if ( (tagb != TW_Infinity) || (signa == signb) )
	{
	  FPU_copy_to_regi(a, TAG_Special, deststnr);
	  setsign(dest, signa);  /* signa may differ from the sign of a. */
	  return taga;
	}
      /* Infinity-Infinity is undefined. */
      return arith_invalid(deststnr);
    }
  else if (tagb == TW_Infinity)
    {
      FPU_copy_to_regi(b, TAG_Special, deststnr);
      setsign(dest, signb);  /* signb may differ from the sign of b. */
      return tagb;
    }

#ifdef PARANOID
  EXCEPTION(EX_INTERNAL|0x101);
#endif

  return FPU_Exception;
}