Пример #1
0
/*--- poly_l2p1() -----------------------------------------------------------+
 |   Base 2 logarithm by a polynomial approximation.                         |
 |   log2(x+1)                                                               |
 +---------------------------------------------------------------------------*/
int	poly_l2p1(u_char sign0, u_char sign1,
		  FPU_REG *st0_ptr, FPU_REG *st1_ptr, FPU_REG *dest)
{
  u_char       	tag;
  s32        	exponent;
  Xsig         	accumulator, yaccum;

  if ( exponent16(st0_ptr) < 0 )
    {
      log2_kernel(st0_ptr, sign0, &accumulator, &exponent);

      yaccum.lsw = 0;
      XSIG_LL(yaccum) = significand(st1_ptr);
      mul_Xsig_Xsig(&accumulator, &yaccum);

      exponent += round_Xsig(&accumulator);

      exponent += exponent16(st1_ptr) + 1;
      if ( exponent < EXP_WAY_UNDER ) exponent = EXP_WAY_UNDER;

      significand(dest) = XSIG_LL(accumulator);
      setexponent16(dest, exponent);

      tag = FPU_round(dest, 1, 0, FULL_PRECISION, sign0 ^ sign1);
      FPU_settagi(1, tag);

      if ( tag == TAG_Valid )
	set_precision_flag_up();   /* 80486 appears to always do this */
    }
  else
    {
      /* The magnitude of st0_ptr is far too large. */

      if ( sign0 != SIGN_POS )
	{
	  /* Trying to get the log of a negative number. */
#ifdef PECULIAR_486   /* Stupid 80486 doesn't worry about log(negative). */
	  changesign(st1_ptr);
#else
	  if ( arith_invalid(1) < 0 )
	    return 1;
#endif /* PECULIAR_486 */
	}

      /* 80486 appears to do this */
      if ( sign0 == SIGN_NEG )
	set_precision_flag_down();
      else
	set_precision_flag_up();
    }

  if ( exponent(dest) <= EXP_UNDER )
    EXCEPTION(EX_Underflow);

  return 0;

}
Пример #2
0
static void fptan(FPU_REG *st0_ptr, u_char st0_tag)
{
	FPU_REG *st_new_ptr;
	int q;
	u_char arg_sign = getsign(st0_ptr);

	
	if (st0_tag == TAG_Empty) {
		FPU_stack_underflow();	
		if (control_word & CW_Invalid) {
			st_new_ptr = &st(-1);
			push();
			FPU_stack_underflow();	
		}
		return;
	}

	if (STACK_OVERFLOW) {
		FPU_stack_overflow();
		return;
	}

	if (st0_tag == TAG_Valid) {
		if (exponent(st0_ptr) > -40) {
			if ((q = trig_arg(st0_ptr, 0)) == -1) {
				
				return;
			}

			poly_tan(st0_ptr);
			setsign(st0_ptr, (q & 1) ^ (arg_sign != 0));
			set_precision_flag_up();	
		} else {
			
			

		      denormal_arg:

			FPU_to_exp16(st0_ptr, st0_ptr);

			st0_tag =
			    FPU_round(st0_ptr, 1, 0, FULL_PRECISION, arg_sign);
			FPU_settag0(st0_tag);
		}
		push();
		FPU_copy_to_reg0(&CONST_1, TAG_Valid);
		return;
	}

	if (st0_tag == TAG_Zero) {
		push();
		FPU_copy_to_reg0(&CONST_1, TAG_Valid);
		setcc(0);
		return;
	}

	if (st0_tag == TAG_Special)
		st0_tag = FPU_Special(st0_ptr);

	if (st0_tag == TW_Denormal) {
		if (denormal_operand() < 0)
			return;

		goto denormal_arg;
	}

	if (st0_tag == TW_Infinity) {
		
		if (arith_invalid(0) >= 0) {
			st_new_ptr = &st(-1);
			push();
			arith_invalid(0);
		}
		return;
	}

	single_arg_2_error(st0_ptr, st0_tag);
}
Пример #3
0
/*--- poly_atan() -----------------------------------------------------------+
 |                                                                           |
 +---------------------------------------------------------------------------*/
void	poly_atan(FPU_REG *st0_ptr, u_char st0_tag,
		  FPU_REG *st1_ptr, u_char st1_tag)
{
  u_char	transformed, inverted,
                sign1, sign2;
  int           exponent;
  long int   	dummy_exp;
  Xsig          accumulator, Numer, Denom, accumulatore, argSignif,
                argSq, argSqSq;
  u_char        tag;
  
  sign1 = getsign(st0_ptr);
  sign2 = getsign(st1_ptr);
  if ( st0_tag == TAG_Valid )
    {
      exponent = exponent(st0_ptr);
    }
  else
    {
      /* This gives non-compatible stack contents... */
      FPU_to_exp16(st0_ptr, st0_ptr);
      exponent = exponent16(st0_ptr);
    }
  if ( st1_tag == TAG_Valid )
    {
      exponent -= exponent(st1_ptr);
    }
  else
    {
      /* This gives non-compatible stack contents... */
      FPU_to_exp16(st1_ptr, st1_ptr);
      exponent -= exponent16(st1_ptr);
    }

  if ( (exponent < 0) || ((exponent == 0) &&
			  ((st0_ptr->sigh < st1_ptr->sigh) ||
			   ((st0_ptr->sigh == st1_ptr->sigh) &&
			    (st0_ptr->sigl < st1_ptr->sigl))) ) )
    {
      inverted = 1;
      Numer.lsw = Denom.lsw = 0;
      XSIG_LL(Numer) = significand(st0_ptr);
      XSIG_LL(Denom) = significand(st1_ptr);
    }
  else
    {
      inverted = 0;
      exponent = -exponent;
      Numer.lsw = Denom.lsw = 0;
      XSIG_LL(Numer) = significand(st1_ptr);
      XSIG_LL(Denom) = significand(st0_ptr);
     }
  div_Xsig(&Numer, &Denom, &argSignif);
  exponent += norm_Xsig(&argSignif);

  if ( (exponent >= -1)
      || ((exponent == -2) && (argSignif.msw > 0xd413ccd0)) )
    {
      /* The argument is greater than sqrt(2)-1 (=0.414213562...) */
      /* Convert the argument by an identity for atan */
      transformed = 1;

      if ( exponent >= 0 )
	{
#ifdef PARANOID
	  if ( !( (exponent == 0) && 
		 (argSignif.lsw == 0) && (argSignif.midw == 0) &&
		 (argSignif.msw == 0x80000000) ) )
	    {
	      EXCEPTION(EX_INTERNAL|0x104);  /* There must be a logic error */
	      return;
	    }
#endif /* PARANOID */
	  argSignif.msw = 0;   /* Make the transformed arg -> 0.0 */
	}
      else
	{
	  Numer.lsw = Denom.lsw = argSignif.lsw;
	  XSIG_LL(Numer) = XSIG_LL(Denom) = XSIG_LL(argSignif);

	  if ( exponent < -1 )
	    shr_Xsig(&Numer, -1-exponent);
	  negate_Xsig(&Numer);
      
	  shr_Xsig(&Denom, -exponent);
	  Denom.msw |= 0x80000000;
      
	  div_Xsig(&Numer, &Denom, &argSignif);

	  exponent = -1 + norm_Xsig(&argSignif);
	}
    }
  else
    {
      transformed = 0;
    }

  argSq.lsw = argSignif.lsw; argSq.midw = argSignif.midw;
  argSq.msw = argSignif.msw;
  mul_Xsig_Xsig(&argSq, &argSq);
  
  argSqSq.lsw = argSq.lsw; argSqSq.midw = argSq.midw; argSqSq.msw = argSq.msw;
  mul_Xsig_Xsig(&argSqSq, &argSqSq);

  accumulatore.lsw = argSq.lsw;
  XSIG_LL(accumulatore) = XSIG_LL(argSq);

  shr_Xsig(&argSq, 2*(-1-exponent-1));
  shr_Xsig(&argSqSq, 4*(-1-exponent-1));

  /* Now have argSq etc with binary point at the left
     .1xxxxxxxx */

  /* Do the basic fixed point polynomial evaluation */
  accumulator.msw = accumulator.midw = accumulator.lsw = 0;
  polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq),
		   oddplterms, HIPOWERop-1);
  mul64_Xsig(&accumulator, &XSIG_LL(argSq));
  negate_Xsig(&accumulator);
  polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq), oddnegterms, HIPOWERon-1);
  negate_Xsig(&accumulator);
  add_two_Xsig(&accumulator, &fixedpterm, &dummy_exp);

  mul64_Xsig(&accumulatore, &denomterm);
  shr_Xsig(&accumulatore, 1 + 2*(-1-exponent));
  accumulatore.msw |= 0x80000000;

  div_Xsig(&accumulator, &accumulatore, &accumulator);

  mul_Xsig_Xsig(&accumulator, &argSignif);
  mul_Xsig_Xsig(&accumulator, &argSq);

  shr_Xsig(&accumulator, 3);
  negate_Xsig(&accumulator);
  add_Xsig_Xsig(&accumulator, &argSignif);

  if ( transformed )
    {
      /* compute pi/4 - accumulator */
      shr_Xsig(&accumulator, -1-exponent);
      negate_Xsig(&accumulator);
      add_Xsig_Xsig(&accumulator, &pi_signif);
      exponent = -1;
    }

  if ( inverted )
    {
      /* compute pi/2 - accumulator */
      shr_Xsig(&accumulator, -exponent);
      negate_Xsig(&accumulator);
      add_Xsig_Xsig(&accumulator, &pi_signif);
      exponent = 0;
    }

  if ( sign1 )
    {
      /* compute pi - accumulator */
      shr_Xsig(&accumulator, 1 - exponent);
      negate_Xsig(&accumulator);
      add_Xsig_Xsig(&accumulator, &pi_signif);
      exponent = 1;
    }

  exponent += round_Xsig(&accumulator);

  significand(st1_ptr) = XSIG_LL(accumulator);
  setexponent16(st1_ptr, exponent);

  tag = FPU_round(st1_ptr, 1, 0, FULL_PRECISION, sign2);
  FPU_settagi(1, tag);

  set_precision_flag_up();  /* We do not really know if up or down,
			       use this as the default. */

}
Пример #4
0
/*--- poly_2xm1() -----------------------------------------------------------+
 | Requires st(0) which is TAG_Valid and < 1.                                |
 +---------------------------------------------------------------------------*/
int	poly_2xm1(u_char sign, FPU_REG *arg, FPU_REG *result)
{
  s32       exponent, shift;
  u64       Xll;
  Xsig      accumulator, Denom, argSignif;
  u_char    tag;

  exponent = exponent16(arg);

#ifdef PARANOID
  if ( exponent >= 0 )    	/* Don't want a |number| >= 1.0 */
    {
      /* Number negative, too large, or not Valid. */
      EXCEPTION(EX_INTERNAL|0x127);
      return 1;
    }
#endif /* PARANOID */

  argSignif.lsw = 0;
  XSIG_LL(argSignif) = Xll = significand(arg);

  if ( exponent == -1 )
    {
      shift = (argSignif.msw & 0x40000000) ? 3 : 2;
      /* subtract 0.5 or 0.75 */
      exponent -= 2;
      XSIG_LL(argSignif) <<= 2;
      Xll <<= 2;
    }
  else if ( exponent == -2 )
    {
      shift = 1;
      /* subtract 0.25 */
      exponent--;
      XSIG_LL(argSignif) <<= 1;
      Xll <<= 1;
    }
  else
    shift = 0;

  if ( exponent < -2 )
    {
      /* Shift the argument right by the required places. */
      if ( FPU_shrx(&Xll, -2-exponent) >= 0x80000000U )
	Xll++;	/* round up */
    }

  accumulator.lsw = accumulator.midw = accumulator.msw = 0;
  polynomial_Xsig(&accumulator, &Xll, lterms, HIPOWER-1);
  mul_Xsig_Xsig(&accumulator, &argSignif);
  shr_Xsig(&accumulator, 3);

  mul_Xsig_Xsig(&argSignif, &hiterm);   /* The leading term */
  add_two_Xsig(&accumulator, &argSignif, &exponent);

  if ( shift )
    {
      /* The argument is large, use the identity:
	 f(x+a) = f(a) * (f(x) + 1) - 1;
	 */
      shr_Xsig(&accumulator, - exponent);
      accumulator.msw |= 0x80000000;      /* add 1.0 */
      mul_Xsig_Xsig(&accumulator, shiftterm[shift]);
      accumulator.msw &= 0x3fffffff;      /* subtract 1.0 */
      exponent = 1;
    }

  if ( sign != SIGN_POS )
    {
      /* The argument is negative, use the identity:
	     f(-x) = -f(x) / (1 + f(x))
	 */
      Denom.lsw = accumulator.lsw;
      XSIG_LL(Denom) = XSIG_LL(accumulator);
      if ( exponent < 0 )
	shr_Xsig(&Denom, - exponent);
      else if ( exponent > 0 )
	{
	  /* exponent must be 1 here */
	  XSIG_LL(Denom) <<= 1;
	  if ( Denom.lsw & 0x80000000 )
	    XSIG_LL(Denom) |= 1;
	  (Denom.lsw) <<= 1;
	}
      Denom.msw |= 0x80000000;      /* add 1.0 */
      div_Xsig(&accumulator, &Denom, &accumulator);
    }

  /* Convert to 64 bit signed-compatible */
  exponent += round_Xsig(&accumulator);

  result = &st(0);
  significand(result) = XSIG_LL(accumulator);
  setexponent16(result, exponent);

  tag = FPU_round(result, 1, 0, FULL_PRECISION, sign);

  setsign(result, sign);
  FPU_settag0(tag);

  return 0;

}
Пример #5
0
static void fptan(FPU_REG *st0_ptr, u_char st0_tag)
{
	FPU_REG *st_new_ptr;
	int q;
	u_char arg_sign = getsign(st0_ptr);

	/* Stack underflow has higher priority */
	if (st0_tag == TAG_Empty) {
		FPU_stack_underflow();	/* Puts a QNaN in st(0) */
		if (control_word & CW_Invalid) {
			st_new_ptr = &st(-1);
			push();
			FPU_stack_underflow();	/* Puts a QNaN in the new st(0) */
		}
		return;
	}

	if (STACK_OVERFLOW) {
		FPU_stack_overflow();
		return;
	}

	if (st0_tag == TAG_Valid) {
		if (exponent(st0_ptr) > -40) {
			if ((q = trig_arg(st0_ptr, 0)) == -1) {
				/* Operand is out of range */
				return;
			}

			poly_tan(st0_ptr);
			setsign(st0_ptr, (q & 1) ^ (arg_sign != 0));
			set_precision_flag_up();	/* We do not really know if up or down */
		} else {
			/* For a small arg, the result == the argument */
			/* Underflow may happen */

		      denormal_arg:

			FPU_to_exp16(st0_ptr, st0_ptr);

			st0_tag =
			    FPU_round(st0_ptr, 1, 0, FULL_PRECISION, arg_sign);
			FPU_settag0(st0_tag);
		}
		push();
		FPU_copy_to_reg0(&CONST_1, TAG_Valid);
		return;
	}

	if (st0_tag == TAG_Zero) {
		push();
		FPU_copy_to_reg0(&CONST_1, TAG_Valid);
		setcc(0);
		return;
	}

	if (st0_tag == TAG_Special)
		st0_tag = FPU_Special(st0_ptr);

	if (st0_tag == TW_Denormal) {
		if (denormal_operand() < 0)
			return;

		goto denormal_arg;
	}

	if (st0_tag == TW_Infinity) {
		/* The 80486 treats infinity as an invalid operand */
		if (arith_invalid(0) >= 0) {
			st_new_ptr = &st(-1);
			push();
			arith_invalid(0);
		}
		return;
	}

	single_arg_2_error(st0_ptr, st0_tag);
}
Пример #6
0
int FPU_u_mul(const FPU_REG *a, const FPU_REG *b, FPU_REG *c, u16 cw,
	      u_char sign, int expon)
{
  u64 mu, ml, mi;
  u32 lh, ll, th, tl;

#ifdef PARANOID
  if ( ! (a->sigh & 0x80000000) || ! (b->sigh & 0x80000000) )
    {
      EXCEPTION(EX_INTERNAL|0x205);
    }
#endif

  ml = a->sigl;
  ml *= b->sigl;
  ll = ml;
  lh = ml >> 32;

  mu = a->sigh;
  mu *= b->sigh;

  mi = a->sigh;
  mi *= b->sigl;
  tl = mi;
  th = mi >> 32;
  lh += tl;
  if ( tl > lh )
    mu ++;
  mu += th;

  mi = a->sigl;
  mi *= b->sigh;
  tl = mi;
  th = mi >> 32;
  lh += tl;
  if ( tl > lh )
    mu ++;
  mu += th;

  ml = lh;
  ml <<= 32;
  ml += ll;

  expon -= EXP_BIAS-1;
  if ( expon <= EXP_WAY_UNDER )
    expon = EXP_WAY_UNDER;

  c->exp = expon;

  if ( ! (mu & BX_CONST64(0x8000000000000000)) )
    {
      mu <<= 1;
      if ( ml & BX_CONST64(0x8000000000000000) )
	mu |= 1;
      ml <<= 1;
      c->exp --;
    }

  ll = ml;
  lh = ml >> 32;

  if ( ll )
    lh |= 1;

  c->sigl = mu;
  c->sigh = mu >> 32;

  return FPU_round(c, lh, 0, cw, sign);
  
}
void poly_atan(FPU_REG *st0_ptr, u_char st0_tag,
	       FPU_REG *st1_ptr, u_char st1_tag)
{
	u_char transformed, inverted, sign1, sign2;
	int exponent;
	long int dummy_exp;
	Xsig accumulator, Numer, Denom, accumulatore, argSignif, argSq, argSqSq;
	u_char tag;

	sign1 = getsign(st0_ptr);
	sign2 = getsign(st1_ptr);
	if (st0_tag == TAG_Valid) {
		exponent = exponent(st0_ptr);
	} else {
		
		FPU_to_exp16(st0_ptr, st0_ptr);
		exponent = exponent16(st0_ptr);
	}
	if (st1_tag == TAG_Valid) {
		exponent -= exponent(st1_ptr);
	} else {
		
		FPU_to_exp16(st1_ptr, st1_ptr);
		exponent -= exponent16(st1_ptr);
	}

	if ((exponent < 0) || ((exponent == 0) &&
			       ((st0_ptr->sigh < st1_ptr->sigh) ||
				((st0_ptr->sigh == st1_ptr->sigh) &&
				 (st0_ptr->sigl < st1_ptr->sigl))))) {
		inverted = 1;
		Numer.lsw = Denom.lsw = 0;
		XSIG_LL(Numer) = significand(st0_ptr);
		XSIG_LL(Denom) = significand(st1_ptr);
	} else {
		inverted = 0;
		exponent = -exponent;
		Numer.lsw = Denom.lsw = 0;
		XSIG_LL(Numer) = significand(st1_ptr);
		XSIG_LL(Denom) = significand(st0_ptr);
	}
	div_Xsig(&Numer, &Denom, &argSignif);
	exponent += norm_Xsig(&argSignif);

	if ((exponent >= -1)
	    || ((exponent == -2) && (argSignif.msw > 0xd413ccd0))) {
		
		
		transformed = 1;

		if (exponent >= 0) {
#ifdef PARANOID
			if (!((exponent == 0) &&
			      (argSignif.lsw == 0) && (argSignif.midw == 0) &&
			      (argSignif.msw == 0x80000000))) {
				EXCEPTION(EX_INTERNAL | 0x104);	
				return;
			}
#endif 
			argSignif.msw = 0;	
		} else {
			Numer.lsw = Denom.lsw = argSignif.lsw;
			XSIG_LL(Numer) = XSIG_LL(Denom) = XSIG_LL(argSignif);

			if (exponent < -1)
				shr_Xsig(&Numer, -1 - exponent);
			negate_Xsig(&Numer);

			shr_Xsig(&Denom, -exponent);
			Denom.msw |= 0x80000000;

			div_Xsig(&Numer, &Denom, &argSignif);

			exponent = -1 + norm_Xsig(&argSignif);
		}
	} else {
		transformed = 0;
	}

	argSq.lsw = argSignif.lsw;
	argSq.midw = argSignif.midw;
	argSq.msw = argSignif.msw;
	mul_Xsig_Xsig(&argSq, &argSq);

	argSqSq.lsw = argSq.lsw;
	argSqSq.midw = argSq.midw;
	argSqSq.msw = argSq.msw;
	mul_Xsig_Xsig(&argSqSq, &argSqSq);

	accumulatore.lsw = argSq.lsw;
	XSIG_LL(accumulatore) = XSIG_LL(argSq);

	shr_Xsig(&argSq, 2 * (-1 - exponent - 1));
	shr_Xsig(&argSqSq, 4 * (-1 - exponent - 1));


	
	accumulator.msw = accumulator.midw = accumulator.lsw = 0;
	polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq),
			oddplterms, HIPOWERop - 1);
	mul64_Xsig(&accumulator, &XSIG_LL(argSq));
	negate_Xsig(&accumulator);
	polynomial_Xsig(&accumulator, &XSIG_LL(argSqSq), oddnegterms,
			HIPOWERon - 1);
	negate_Xsig(&accumulator);
	add_two_Xsig(&accumulator, &fixedpterm, &dummy_exp);

	mul64_Xsig(&accumulatore, &denomterm);
	shr_Xsig(&accumulatore, 1 + 2 * (-1 - exponent));
	accumulatore.msw |= 0x80000000;

	div_Xsig(&accumulator, &accumulatore, &accumulator);

	mul_Xsig_Xsig(&accumulator, &argSignif);
	mul_Xsig_Xsig(&accumulator, &argSq);

	shr_Xsig(&accumulator, 3);
	negate_Xsig(&accumulator);
	add_Xsig_Xsig(&accumulator, &argSignif);

	if (transformed) {
		
		shr_Xsig(&accumulator, -1 - exponent);
		negate_Xsig(&accumulator);
		add_Xsig_Xsig(&accumulator, &pi_signif);
		exponent = -1;
	}

	if (inverted) {
		
		shr_Xsig(&accumulator, -exponent);
		negate_Xsig(&accumulator);
		add_Xsig_Xsig(&accumulator, &pi_signif);
		exponent = 0;
	}

	if (sign1) {
		
		shr_Xsig(&accumulator, 1 - exponent);
		negate_Xsig(&accumulator);
		add_Xsig_Xsig(&accumulator, &pi_signif);
		exponent = 1;
	}

	exponent += round_Xsig(&accumulator);

	significand(st1_ptr) = XSIG_LL(accumulator);
	setexponent16(st1_ptr, exponent);

	tag = FPU_round(st1_ptr, 1, 0, FULL_PRECISION, sign2);
	FPU_settagi(1, tag);

	set_precision_flag_up();	

}
Пример #8
0
int poly_2xm1(u_char sign, FPU_REG *arg, FPU_REG *result)
{
	long int exponent, shift;
	unsigned long long Xll;
	Xsig accumulator, Denom, argSignif;
	u_char tag;

	exponent = exponent16(arg);

#ifdef PARANOID
	if (exponent >= 0) {	/*                              */
		/*                                           */
		EXCEPTION(EX_INTERNAL | 0x127);
		return 1;
	}
#endif /*          */

	argSignif.lsw = 0;
	XSIG_LL(argSignif) = Xll = significand(arg);

	if (exponent == -1) {
		shift = (argSignif.msw & 0x40000000) ? 3 : 2;
		/*                      */
		exponent -= 2;
		XSIG_LL(argSignif) <<= 2;
		Xll <<= 2;
	} else if (exponent == -2) {
		shift = 1;
		/*               */
		exponent--;
		XSIG_LL(argSignif) <<= 1;
		Xll <<= 1;
	} else
		shift = 0;

	if (exponent < -2) {
		/*                                                  */
		if (FPU_shrx(&Xll, -2 - exponent) >= 0x80000000U)
			Xll++;	/*          */
	}

	accumulator.lsw = accumulator.midw = accumulator.msw = 0;
	polynomial_Xsig(&accumulator, &Xll, lterms, HIPOWER - 1);
	mul_Xsig_Xsig(&accumulator, &argSignif);
	shr_Xsig(&accumulator, 3);

	mul_Xsig_Xsig(&argSignif, &hiterm);	/*                  */
	add_two_Xsig(&accumulator, &argSignif, &exponent);

	if (shift) {
		/*                                         
                                    
   */
		shr_Xsig(&accumulator, -exponent);
		accumulator.msw |= 0x80000000;	/*         */
		mul_Xsig_Xsig(&accumulator, shiftterm[shift]);
		accumulator.msw &= 0x3fffffff;	/*              */
		exponent = 1;
	}

	if (sign != SIGN_POS) {
		/*                                            
                               
   */
		Denom.lsw = accumulator.lsw;
		XSIG_LL(Denom) = XSIG_LL(accumulator);
		if (exponent < 0)
			shr_Xsig(&Denom, -exponent);
		else if (exponent > 0) {
			/*                         */
			XSIG_LL(Denom) <<= 1;
			if (Denom.lsw & 0x80000000)
				XSIG_LL(Denom) |= 1;
			(Denom.lsw) <<= 1;
		}
		Denom.msw |= 0x80000000;	/*         */
		div_Xsig(&accumulator, &Denom, &accumulator);
	}

	/*                                     */
	exponent += round_Xsig(&accumulator);

	result = &st(0);
	significand(result) = XSIG_LL(accumulator);
	setexponent16(result, exponent);

	tag = FPU_round(result, 1, 0, FULL_PRECISION, sign);

	setsign(result, sign);
	FPU_settag0(tag);

	return 0;

}
Пример #9
0
/*--- poly_l2() -------------------------------------------------------------+
 |   Base 2 logarithm by a polynomial approximation.                         |
 +---------------------------------------------------------------------------*/
void poly_l2(FPU_REG *st0_ptr, FPU_REG *st1_ptr, u_char st1_sign)
{
	long int exponent, expon, expon_expon;
	Xsig accumulator, expon_accum, yaccum;
	u_char sign, argsign;
	FPU_REG x;
	int tag;

	exponent = exponent16(st0_ptr);

	/* From st0_ptr, make a number > sqrt(2)/2 and < sqrt(2) */
	if (st0_ptr->sigh > (unsigned)0xb504f334) {
		/* Treat as  sqrt(2)/2 < st0_ptr < 1 */
		significand(&x) = -significand(st0_ptr);
		setexponent16(&x, -1);
		exponent++;
		argsign = SIGN_NEG;
	} else {
		/* Treat as  1 <= st0_ptr < sqrt(2) */
		x.sigh = st0_ptr->sigh - 0x80000000;
		x.sigl = st0_ptr->sigl;
		setexponent16(&x, 0);
		argsign = SIGN_POS;
	}
	tag = FPU_normalize_nuo(&x);

	if (tag == TAG_Zero) {
		expon = 0;
		accumulator.msw = accumulator.midw = accumulator.lsw = 0;
	} else {
		log2_kernel(&x, argsign, &accumulator, &expon);
	}

	if (exponent < 0) {
		sign = SIGN_NEG;
		exponent = -exponent;
	} else
		sign = SIGN_POS;
	expon_accum.msw = exponent;
	expon_accum.midw = expon_accum.lsw = 0;
	if (exponent) {
		expon_expon = 31 + norm_Xsig(&expon_accum);
		shr_Xsig(&accumulator, expon_expon - expon);

		if (sign ^ argsign)
			negate_Xsig(&accumulator);
		add_Xsig_Xsig(&accumulator, &expon_accum);
	} else {
		expon_expon = expon;
		sign = argsign;
	}

	yaccum.lsw = 0;
	XSIG_LL(yaccum) = significand(st1_ptr);
	mul_Xsig_Xsig(&accumulator, &yaccum);

	expon_expon += round_Xsig(&accumulator);

	if (accumulator.msw == 0) {
		FPU_copy_to_reg1(&CONST_Z, TAG_Zero);
		return;
	}

	significand(st1_ptr) = XSIG_LL(accumulator);
	setexponent16(st1_ptr, expon_expon + exponent16(st1_ptr) + 1);

	tag = FPU_round(st1_ptr, 1, 0, FULL_PRECISION, sign ^ st1_sign);
	FPU_settagi(1, tag);

	set_precision_flag_up();	/* 80486 appears to always do this */

	return;

}