/*
* Double_add: add two double precision values.
*/
dbl_fadd(
dbl_floating_point *leftptr,
dbl_floating_point *rightptr,
dbl_floating_point *dstptr,
unsigned int *status)
{
register unsigned int signless_upper_left, signless_upper_right, save;
register unsigned int leftp1, leftp2, rightp1, rightp2, extent;
register unsigned int resultp1 = 0, resultp2 = 0;
register int result_exponent, right_exponent, diff_exponent;
register int sign_save, jumpsize;
register boolean inexact = FALSE;
register boolean underflowtrap;
/* Create local copies of the numbers */
Dbl_copyfromptr(leftptr,leftp1,leftp2);
Dbl_copyfromptr(rightptr,rightp1,rightp2);
/* A zero "save" helps discover equal operands (for later), *
* and is used in swapping operands (if needed). */
Dbl_xortointp1(leftp1,rightp1,/*to*/save);
/*
* check first operand for NaN's or infinity
*/
if ((result_exponent = Dbl_exponent(leftp1)) == DBL_INFINITY_EXPONENT)
{
if (Dbl_iszero_mantissa(leftp1,leftp2))
{
if (Dbl_isnotnan(rightp1,rightp2))
{
if (Dbl_isinfinity(rightp1,rightp2) && save!=0)
{
/*
* invalid since operands are opposite signed infinity's
*/
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* return infinity
*/
Dbl_copytoptr(leftp1,leftp2,dstptr);
return(NOEXCEPTION);
}
}
else
{
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(leftp1))
{
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(leftp1);
}
/*
* is second operand a signaling NaN?
*/
else if (Dbl_is_signalingnan(rightp1))
{
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(rightp1);
Dbl_copytoptr(rightp1,rightp2,dstptr);
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(leftp1,leftp2,dstptr);
return(NOEXCEPTION);
}
} /* End left NaN or Infinity processing */
/*
* check second operand for NaN's or infinity
*/
if (Dbl_isinfinity_exponent(rightp1))
{
if (Dbl_iszero_mantissa(rightp1,rightp2))
{
/* return infinity */
Dbl_copytoptr(rightp1,rightp2,dstptr);
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(rightp1))
{
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(rightp1);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(rightp1,rightp2,dstptr);
return(NOEXCEPTION);
} /* End right NaN or Infinity processing */
/* Invariant: Must be dealing with finite numbers */
/* Compare operands by removing the sign */
Dbl_copytoint_exponentmantissap1(leftp1,signless_upper_left);
Dbl_copytoint_exponentmantissap1(rightp1,signless_upper_right);
/* sign difference selects add or sub operation. */
if(Dbl_ismagnitudeless(leftp2,rightp2,signless_upper_left,signless_upper_right))
{
/* Set the left operand to the larger one by XOR swap *
* First finish the first word using "save" */
Dbl_xorfromintp1(save,rightp1,/*to*/rightp1);
Dbl_xorfromintp1(save,leftp1,/*to*/leftp1);
Dbl_swap_lower(leftp2,rightp2);
result_exponent = Dbl_exponent(leftp1);
}
/* Invariant: left is not smaller than right. */
if((right_exponent = Dbl_exponent(rightp1)) == 0)
{
/* Denormalized operands. First look for zeroes */
if(Dbl_iszero_mantissa(rightp1,rightp2))
{
/* right is zero */
if(Dbl_iszero_exponentmantissa(leftp1,leftp2))
{
/* Both operands are zeros */
if(Is_rounding_mode(ROUNDMINUS))
{
Dbl_or_signs(leftp1,/*with*/rightp1);
}
else
{
Dbl_and_signs(leftp1,/*with*/rightp1);
}
}
else
{
/* Left is not a zero and must be the result. Trapped
* underflows are signaled if left is denormalized. Result
* is always exact. */
if( (result_exponent == 0) && Is_underflowtrap_enabled() )
{
/* need to normalize results mantissa */
sign_save = Dbl_signextendedsign(leftp1);
Dbl_leftshiftby1(leftp1,leftp2);
Dbl_normalize(leftp1,leftp2,result_exponent);
Dbl_set_sign(leftp1,/*using*/sign_save);
Dbl_setwrapped_exponent(leftp1,result_exponent,unfl);
Dbl_copytoptr(leftp1,leftp2,dstptr);
/* inexact = FALSE */
return(UNDERFLOWEXCEPTION);
}
}
Dbl_copytoptr(leftp1,leftp2,dstptr);
return(NOEXCEPTION);
}
/* Neither are zeroes */
Dbl_clear_sign(rightp1); /* Exponent is already cleared */
if(result_exponent == 0 )
{
/* Both operands are denormalized. The result must be exact
* and is simply calculated. A sum could become normalized and a
* difference could cancel to a true zero. */
if( (/*signed*/int) save < 0 )
{
Dbl_subtract(leftp1,leftp2,/*minus*/rightp1,rightp2,
/*into*/resultp1,resultp2);
if(Dbl_iszero_mantissa(resultp1,resultp2))
{
if(Is_rounding_mode(ROUNDMINUS))
{
Dbl_setone_sign(resultp1);
}
else
{
Dbl_setzero_sign(resultp1);
}
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else
{
Dbl_addition(leftp1,leftp2,rightp1,rightp2,
/*into*/resultp1,resultp2);
if(Dbl_isone_hidden(resultp1))
{
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
if(Is_underflowtrap_enabled())
{
/* need to normalize result */
sign_save = Dbl_signextendedsign(resultp1);
Dbl_leftshiftby1(resultp1,resultp2);
Dbl_normalize(resultp1,resultp2,result_exponent);
Dbl_set_sign(resultp1,/*using*/sign_save);
Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
/* inexact = FALSE */
return(UNDERFLOWEXCEPTION);
}
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
right_exponent = 1; /* Set exponent to reflect different bias
* with denomalized numbers. */
}
else
{
Dbl_clear_signexponent_set_hidden(rightp1);
}
Dbl_clear_exponent_set_hidden(leftp1);
diff_exponent = result_exponent - right_exponent;
/*
* Special case alignment of operands that would force alignment
* beyond the extent of the extension. A further optimization
* could special case this but only reduces the path length for this
* infrequent case.
*/
if(diff_exponent > DBL_THRESHOLD)
{
diff_exponent = DBL_THRESHOLD;
}
/* Align right operand by shifting to right */
Dbl_right_align(/*operand*/rightp1,rightp2,/*shifted by*/diff_exponent,
/*and lower to*/extent);
/* Treat sum and difference of the operands separately. */
if( (/*signed*/int) save < 0 )
{
/*
* Difference of the two operands. Their can be no overflow. A
* borrow can occur out of the hidden bit and force a post
* normalization phase.
*/
Dbl_subtract_withextension(leftp1,leftp2,/*minus*/rightp1,rightp2,
/*with*/extent,/*into*/resultp1,resultp2);
if(Dbl_iszero_hidden(resultp1))
{
/* Handle normalization */
/* A straight forward algorithm would now shift the result
* and extension left until the hidden bit becomes one. Not
* all of the extension bits need participate in the shift.
* Only the two most significant bits (round and guard) are
* needed. If only a single shift is needed then the guard
* bit becomes a significant low order bit and the extension
* must participate in the rounding. If more than a single
* shift is needed, then all bits to the right of the guard
* bit are zeros, and the guard bit may or may not be zero. */
sign_save = Dbl_signextendedsign(resultp1);
Dbl_leftshiftby1_withextent(resultp1,resultp2,extent,resultp1,resultp2);
/* Need to check for a zero result. The sign and exponent
* fields have already been zeroed. The more efficient test
* of the full object can be used.
*/
if(Dbl_iszero(resultp1,resultp2))
/* Must have been "x-x" or "x+(-x)". */
{
if(Is_rounding_mode(ROUNDMINUS)) Dbl_setone_sign(resultp1);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
result_exponent--;
/* Look to see if normalization is finished. */
if(Dbl_isone_hidden(resultp1))
{
if(result_exponent==0)
{
/* Denormalized, exponent should be zero. Left operand *
* was normalized, so extent (guard, round) was zero */
goto underflow;
}
else
{
/* No further normalization is needed. */
Dbl_set_sign(resultp1,/*using*/sign_save);
Ext_leftshiftby1(extent);
goto round;
}
}
/* Check for denormalized, exponent should be zero. Left *
* operand was normalized, so extent (guard, round) was zero */
if(!(underflowtrap = Is_underflowtrap_enabled()) &&
result_exponent==0) goto underflow;
/* Shift extension to complete one bit of normalization and
* update exponent. */
Ext_leftshiftby1(extent);
/* Discover first one bit to determine shift amount. Use a
* modified binary search. We have already shifted the result
* one position right and still not found a one so the remainder
* of the extension must be zero and simplifies rounding. */
/* Scan bytes */
while(Dbl_iszero_hiddenhigh7mantissa(resultp1))
{
Dbl_leftshiftby8(resultp1,resultp2);
if((result_exponent -= 8) <= 0 && !underflowtrap)
goto underflow;
}
/* Now narrow it down to the nibble */
if(Dbl_iszero_hiddenhigh3mantissa(resultp1))
{
/* The lower nibble contains the normalizing one */
Dbl_leftshiftby4(resultp1,resultp2);
if((result_exponent -= 4) <= 0 && !underflowtrap)
goto underflow;
}
/* Select case were first bit is set (already normalized)
* otherwise select the proper shift. */
if((jumpsize = Dbl_hiddenhigh3mantissa(resultp1)) > 7)
{
/* Already normalized */
if(result_exponent <= 0) goto underflow;
Dbl_set_sign(resultp1,/*using*/sign_save);
Dbl_set_exponent(resultp1,/*using*/result_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
Dbl_sethigh4bits(resultp1,/*using*/sign_save);
switch(jumpsize)
{
case 1:
{
Dbl_leftshiftby3(resultp1,resultp2);
result_exponent -= 3;
break;
}
case 2:
case 3:
{
Dbl_leftshiftby2(resultp1,resultp2);
result_exponent -= 2;
break;
}
case 4:
case 5:
case 6:
case 7:
{
Dbl_leftshiftby1(resultp1,resultp2);
result_exponent -= 1;
break;
}
}
if(result_exponent > 0)
{
Dbl_set_exponent(resultp1,/*using*/result_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION); /* Sign bit is already set */
}
/* Fixup potential underflows */
underflow:
if(Is_underflowtrap_enabled())
{
Dbl_set_sign(resultp1,sign_save);
Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
/* inexact = FALSE */
return(UNDERFLOWEXCEPTION);
}
/*
* Since we cannot get an inexact denormalized result,
* we can now return.
*/
Dbl_fix_overshift(resultp1,resultp2,(1-result_exponent),extent);
Dbl_clear_signexponent(resultp1);
Dbl_set_sign(resultp1,sign_save);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
} /* end if(hidden...)... */
/* Fall through and round */
} /* end if(save < 0)... */
else
{
/* Add magnitudes */
Dbl_addition(leftp1,leftp2,rightp1,rightp2,/*to*/resultp1,resultp2);
if(Dbl_isone_hiddenoverflow(resultp1))
{
/* Prenormalization required. */
Dbl_rightshiftby1_withextent(resultp2,extent,extent);
Dbl_arithrightshiftby1(resultp1,resultp2);
result_exponent++;
} /* end if hiddenoverflow... */
} /* end else ...add magnitudes... */
/* Round the result. If the extension is all zeros,then the result is
* exact. Otherwise round in the correct direction. No underflow is
* possible. If a postnormalization is necessary, then the mantissa is
* all zeros so no shift is needed. */
round:
if(Ext_isnotzero(extent))
{
inexact = TRUE;
switch(Rounding_mode())
{
case ROUNDNEAREST: /* The default. */
if(Ext_isone_sign(extent))
{
/* at least 1/2 ulp */
if(Ext_isnotzero_lower(extent) ||
Dbl_isone_lowmantissap2(resultp2))
{
/* either exactly half way and odd or more than 1/2ulp */
Dbl_increment(resultp1,resultp2);
}
}
break;
case ROUNDPLUS:
if(Dbl_iszero_sign(resultp1))
{
/* Round up positive results */
Dbl_increment(resultp1,resultp2);
}
break;
case ROUNDMINUS:
if(Dbl_isone_sign(resultp1))
{
/* Round down negative results */
Dbl_increment(resultp1,resultp2);
}
case ROUNDZERO:;
/* truncate is simple */
} /* end switch... */
if(Dbl_isone_hiddenoverflow(resultp1)) result_exponent++;
}
if(result_exponent == DBL_INFINITY_EXPONENT)
{
/* Overflow */
if(Is_overflowtrap_enabled())
{
Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return(OVERFLOWEXCEPTION);
}
else
{
inexact = TRUE;
Set_overflowflag();
Dbl_setoverflow(resultp1,resultp2);
}
}
else Dbl_set_exponent(resultp1,result_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if(inexact)
if(Is_inexacttrap_enabled())
return(INEXACTEXCEPTION);
else Set_inexactflag();
return(NOEXCEPTION);
}
/*
* Double Precision Floating-point Remainder
*/
int
dbl_frem(dbl_floating_point *srcptr1, dbl_floating_point *srcptr2,
dbl_floating_point *dstptr, unsigned int *status)
{
register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
register unsigned int resultp1, resultp2;
register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
register int roundup = false;
Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
/*
* check first operand for NaN's or infinity
*/
if ((opnd1_exponent = Dbl_exponent(opnd1p1)) == DBL_INFINITY_EXPONENT) {
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
/* invalid since first operand is infinity */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else {
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd1p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd1p1);
}
/*
* is second operand a signaling NaN?
*/
else if (Dbl_is_signalingnan(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
}
/*
* check second operand for NaN's or infinity
*/
if ((opnd2_exponent = Dbl_exponent(opnd2p1)) == DBL_INFINITY_EXPONENT) {
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
/*
* return first operand
*/
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* check second operand for zero
*/
if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
/* invalid since second operand is zero */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* get sign of result
*/
resultp1 = opnd1p1;
/*
* check for denormalized operands
*/
if (opnd1_exponent == 0) {
/* check for zero */
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
/* normalize, then continue */
opnd1_exponent = 1;
Dbl_normalize(opnd1p1,opnd1p2,opnd1_exponent);
}
else {
Dbl_clear_signexponent_set_hidden(opnd1p1);
}
if (opnd2_exponent == 0) {
/* normalize, then continue */
opnd2_exponent = 1;
Dbl_normalize(opnd2p1,opnd2p2,opnd2_exponent);
}
else {
Dbl_clear_signexponent_set_hidden(opnd2p1);
}
/* find result exponent and divide step loop count */
dest_exponent = opnd2_exponent - 1;
stepcount = opnd1_exponent - opnd2_exponent;
/*
* check for opnd1/opnd2 < 1
*/
if (stepcount < 0) {
/*
* check for opnd1/opnd2 > 1/2
*
* In this case n will round to 1, so
* r = opnd1 - opnd2
*/
if (stepcount == -1 &&
Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
/* set sign */
Dbl_allp1(resultp1) = ~Dbl_allp1(resultp1);
/* align opnd2 with opnd1 */
Dbl_leftshiftby1(opnd2p1,opnd2p2);
Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,
opnd2p1,opnd2p2);
/* now normalize */
while (Dbl_iszero_hidden(opnd2p1)) {
Dbl_leftshiftby1(opnd2p1,opnd2p2);
dest_exponent--;
}
Dbl_set_exponentmantissa(resultp1,resultp2,opnd2p1,opnd2p2);
goto testforunderflow;
}
/*
* opnd1/opnd2 <= 1/2
*
* In this case n will round to zero, so
* r = opnd1
*/
Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);
dest_exponent = opnd1_exponent;
goto testforunderflow;
}
/*
* Generate result
*
* Do iterative subtract until remainder is less than operand 2.
*/
while (stepcount-- > 0 && (Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2))) {
if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
}
Dbl_leftshiftby1(opnd1p1,opnd1p2);
}
/*
* Do last subtract, then determine which way to round if remainder
* is exactly 1/2 of opnd2
*/
if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
roundup = true;
}
if (stepcount > 0 || Dbl_iszero(opnd1p1,opnd1p2)) {
/* division is exact, remainder is zero */
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* Check for cases where opnd1/opnd2 < n
*
* In this case the result's sign will be opposite that of
* opnd1. The mantissa also needs some correction.
*/
Dbl_leftshiftby1(opnd1p1,opnd1p2);
if (Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
Dbl_invert_sign(resultp1);
Dbl_leftshiftby1(opnd2p1,opnd2p2);
Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,opnd1p1,opnd1p2);
}
/* check for remainder being exactly 1/2 of opnd2 */
else if (Dbl_isequal(opnd1p1,opnd1p2,opnd2p1,opnd2p2) && roundup) {
Dbl_invert_sign(resultp1);
}
/* normalize result's mantissa */
while (Dbl_iszero_hidden(opnd1p1)) {
dest_exponent--;
Dbl_leftshiftby1(opnd1p1,opnd1p2);
}
Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);
/*
* Test for underflow
*/
testforunderflow:
if (dest_exponent <= 0) {
/* trap if UNDERFLOWTRAP enabled */
if (Is_underflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
/* frem is always exact */
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(UNDERFLOWEXCEPTION);
}
/*
* denormalize result or set to signed zero
*/
if (dest_exponent >= (1 - DBL_P)) {
Dbl_rightshift_exponentmantissa(resultp1,resultp2,
1-dest_exponent);
}
else {
Dbl_setzero_exponentmantissa(resultp1,resultp2);
}
}
else Dbl_set_exponent(resultp1,dest_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*ARGSUSED*/
int
dbl_fsqrt(dbl_floating_point *srcptr, dbl_floating_point *dstptr,
unsigned int *status)
{
register unsigned int srcp1, srcp2, resultp1, resultp2;
register unsigned int newbitp1, newbitp2, sump1, sump2;
register int src_exponent;
register int guardbit = false, even_exponent;
Dbl_copyfromptr(srcptr,srcp1,srcp2);
/*
* check source operand for NaN or infinity
*/
if ((src_exponent = Dbl_exponent(srcp1)) == DBL_INFINITY_EXPONENT) {
/*
* is signaling NaN?
*/
if (Dbl_isone_signaling(srcp1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(srcp1);
}
/*
* Return quiet NaN or positive infinity.
* Fall thru to negative test if negative infinity.
*/
if (Dbl_iszero_sign(srcp1) ||
Dbl_isnotzero_mantissa(srcp1,srcp2)) {
Dbl_copytoptr(srcp1,srcp2,dstptr);
return(NOEXCEPTION);
}
}
/*
* check for zero source operand
*/
if (Dbl_iszero_exponentmantissa(srcp1,srcp2)) {
Dbl_copytoptr(srcp1,srcp2,dstptr);
return(NOEXCEPTION);
}
/*
* check for negative source operand
*/
if (Dbl_isone_sign(srcp1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_makequietnan(srcp1,srcp2);
Dbl_copytoptr(srcp1,srcp2,dstptr);
return(NOEXCEPTION);
}
/*
* Generate result
*/
if (src_exponent > 0) {
even_exponent = Dbl_hidden(srcp1);
Dbl_clear_signexponent_set_hidden(srcp1);
}
else {
/* normalize operand */
Dbl_clear_signexponent(srcp1);
src_exponent++;
Dbl_normalize(srcp1,srcp2,src_exponent);
even_exponent = src_exponent & 1;
}
if (even_exponent) {
/* exponent is even */
/* Add comment here. Explain why odd exponent needs correction */
Dbl_leftshiftby1(srcp1,srcp2);
}
/*
* Add comment here. Explain following algorithm.
*
* Trust me, it works.
*
*/
Dbl_setzero(resultp1,resultp2);
Dbl_allp1(newbitp1) = 1 << (DBL_P - 32);
Dbl_setzero_mantissap2(newbitp2);
while (Dbl_isnotzero(newbitp1,newbitp2) && Dbl_isnotzero(srcp1,srcp2)) {
Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,sump1,sump2);
if(Dbl_isnotgreaterthan(sump1,sump2,srcp1,srcp2)) {
Dbl_leftshiftby1(newbitp1,newbitp2);
/* update result */
Dbl_addition(resultp1,resultp2,newbitp1,newbitp2,
resultp1,resultp2);
Dbl_subtract(srcp1,srcp2,sump1,sump2,srcp1,srcp2);
Dbl_rightshiftby2(newbitp1,newbitp2);
}
else {
Dbl_rightshiftby1(newbitp1,newbitp2);
}
Dbl_leftshiftby1(srcp1,srcp2);
}
/* correct exponent for pre-shift */
if (even_exponent) {
Dbl_rightshiftby1(resultp1,resultp2);
}
/* check for inexact */
if (Dbl_isnotzero(srcp1,srcp2)) {
if (!even_exponent && Dbl_islessthan(resultp1,resultp2,srcp1,srcp2)) {
Dbl_increment(resultp1,resultp2);
}
guardbit = Dbl_lowmantissap2(resultp2);
Dbl_rightshiftby1(resultp1,resultp2);
/* now round result */
switch (Rounding_mode()) {
case ROUNDPLUS:
Dbl_increment(resultp1,resultp2);
break;
case ROUNDNEAREST:
/* stickybit is always true, so guardbit
* is enough to determine rounding */
if (guardbit) {
Dbl_increment(resultp1,resultp2);
}
break;
}
/* increment result exponent by 1 if mantissa overflowed */
if (Dbl_isone_hiddenoverflow(resultp1)) src_exponent+=2;
if (Is_inexacttrap_enabled()) {
Dbl_set_exponent(resultp1,
((src_exponent-DBL_BIAS)>>1)+DBL_BIAS);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(INEXACTEXCEPTION);
}
else Set_inexactflag();
}
/*
* dbl_cmp: compare two values
*/
int
dbl_fcmp (dbl_floating_point * leftptr, dbl_floating_point * rightptr,
unsigned int cond, unsigned int *status)
/* The predicate to be tested */
{
register unsigned int leftp1, leftp2, rightp1, rightp2;
register int xorresult;
/* Create local copies of the numbers */
Dbl_copyfromptr(leftptr,leftp1,leftp2);
Dbl_copyfromptr(rightptr,rightp1,rightp2);
/*
* Test for NaN
*/
if( (Dbl_exponent(leftp1) == DBL_INFINITY_EXPONENT)
|| (Dbl_exponent(rightp1) == DBL_INFINITY_EXPONENT) )
{
/* Check if a NaN is involved. Signal an invalid exception when
* comparing a signaling NaN or when comparing quiet NaNs and the
* low bit of the condition is set */
if( ((Dbl_exponent(leftp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(leftp1,leftp2)
&& (Exception(cond) || Dbl_isone_signaling(leftp1)))
||
((Dbl_exponent(rightp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(rightp1,rightp2)
&& (Exception(cond) || Dbl_isone_signaling(rightp1))) )
{
if( Is_invalidtrap_enabled() ) {
Set_status_cbit(Unordered(cond));
return(INVALIDEXCEPTION);
}
else Set_invalidflag();
Set_status_cbit(Unordered(cond));
return(NOEXCEPTION);
}
/* All the exceptional conditions are handled, now special case
NaN compares */
else if( ((Dbl_exponent(leftp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(leftp1,leftp2))
||
((Dbl_exponent(rightp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(rightp1,rightp2)) )
{
/* NaNs always compare unordered. */
Set_status_cbit(Unordered(cond));
return(NOEXCEPTION);
}
/* infinities will drop down to the normal compare mechanisms */
}
/* First compare for unequal signs => less or greater or
* special equal case */
Dbl_xortointp1(leftp1,rightp1,xorresult);
if( xorresult < 0 )
{
/* left negative => less, left positive => greater.
* equal is possible if both operands are zeros. */
if( Dbl_iszero_exponentmantissa(leftp1,leftp2)
&& Dbl_iszero_exponentmantissa(rightp1,rightp2) )
{
Set_status_cbit(Equal(cond));
}
else if( Dbl_isone_sign(leftp1) )
{
Set_status_cbit(Lessthan(cond));
}
else
{
Set_status_cbit(Greaterthan(cond));
}
}
/* Signs are the same. Treat negative numbers separately
* from the positives because of the reversed sense. */
else if(Dbl_isequal(leftp1,leftp2,rightp1,rightp2))
{
Set_status_cbit(Equal(cond));
}
else if( Dbl_iszero_sign(leftp1) )
{
/* Positive compare */
if( Dbl_allp1(leftp1) < Dbl_allp1(rightp1) )
{
Set_status_cbit(Lessthan(cond));
}
else if( Dbl_allp1(leftp1) > Dbl_allp1(rightp1) )
{
Set_status_cbit(Greaterthan(cond));
}
else
{
/* Equal first parts. Now we must use unsigned compares to
* resolve the two possibilities. */
if( Dbl_allp2(leftp2) < Dbl_allp2(rightp2) )
{
Set_status_cbit(Lessthan(cond));
}
else
{
Set_status_cbit(Greaterthan(cond));
}
}
}
else
{
/* Negative compare. Signed or unsigned compares
* both work the same. That distinction is only
* important when the sign bits differ. */
if( Dbl_allp1(leftp1) > Dbl_allp1(rightp1) )
{
Set_status_cbit(Lessthan(cond));
}
else if( Dbl_allp1(leftp1) < Dbl_allp1(rightp1) )
{
Set_status_cbit(Greaterthan(cond));
}
else
{
/* Equal first parts. Now we must use unsigned compares to
* resolve the two possibilities. */
if( Dbl_allp2(leftp2) > Dbl_allp2(rightp2) )
{
Set_status_cbit(Lessthan(cond));
}
else
{
Set_status_cbit(Greaterthan(cond));
}
}
}
return(NOEXCEPTION);
}
int
dbl_fdiv (dbl_floating_point * srcptr1, dbl_floating_point * srcptr2,
dbl_floating_point * dstptr, unsigned int *status)
{
register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
register unsigned int opnd3p1, opnd3p2, resultp1, resultp2;
register int dest_exponent, count;
register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
boolean is_tiny;
Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
/*
* set sign bit of result
*/
if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
Dbl_setnegativezerop1(resultp1);
else Dbl_setzerop1(resultp1);
/*
* check first operand for NaN's or infinity
*/
if (Dbl_isinfinity_exponent(opnd1p1)) {
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
if (Dbl_isinfinity(opnd2p1,opnd2p2)) {
/*
* invalid since both operands
* are infinity
*/
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* return infinity
*/
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else {
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd1p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd1p1);
}
/*
* is second operand a signaling NaN?
*/
else if (Dbl_is_signalingnan(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
}
/*
* check second operand for NaN's or infinity
*/
if (Dbl_isinfinity_exponent(opnd2p1)) {
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
/*
* return zero
*/
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* check for division by zero
*/
if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
/* invalid since both operands are zero */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
if (Is_divisionbyzerotrap_enabled())
return(DIVISIONBYZEROEXCEPTION);
Set_divisionbyzeroflag();
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* Generate exponent
*/
dest_exponent = Dbl_exponent(opnd1p1) - Dbl_exponent(opnd2p1) + DBL_BIAS;
/*
* Generate mantissa
*/
if (Dbl_isnotzero_exponent(opnd1p1)) {
/* set hidden bit */
Dbl_clear_signexponent_set_hidden(opnd1p1);
}
else {
/* check for zero */
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/* is denormalized, want to normalize */
Dbl_clear_signexponent(opnd1p1);
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_normalize(opnd1p1,opnd1p2,dest_exponent);
}
/* opnd2 needs to have hidden bit set with msb in hidden bit */
if (Dbl_isnotzero_exponent(opnd2p1)) {
Dbl_clear_signexponent_set_hidden(opnd2p1);
}
else {
/* is denormalized; want to normalize */
Dbl_clear_signexponent(opnd2p1);
Dbl_leftshiftby1(opnd2p1,opnd2p2);
while (Dbl_iszero_hiddenhigh7mantissa(opnd2p1)) {
dest_exponent+=8;
Dbl_leftshiftby8(opnd2p1,opnd2p2);
}
if (Dbl_iszero_hiddenhigh3mantissa(opnd2p1)) {
dest_exponent+=4;
Dbl_leftshiftby4(opnd2p1,opnd2p2);
}
while (Dbl_iszero_hidden(opnd2p1)) {
dest_exponent++;
Dbl_leftshiftby1(opnd2p1,opnd2p2);
}
}
/* Divide the source mantissas */
/*
* A non-restoring divide algorithm is used.
*/
Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
Dbl_setzero(opnd3p1,opnd3p2);
for (count=1; count <= DBL_P && (opnd1p1 || opnd1p2); count++) {
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_leftshiftby1(opnd3p1,opnd3p2);
if (Dbl_iszero_sign(opnd1p1)) {
Dbl_setone_lowmantissap2(opnd3p2);
Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
}
else {
Twoword_add(opnd1p1, opnd1p2, opnd2p1, opnd2p2);
}
}
if (count <= DBL_P) {
Dbl_leftshiftby1(opnd3p1,opnd3p2);
Dbl_setone_lowmantissap2(opnd3p2);
Dbl_leftshift(opnd3p1,opnd3p2,(DBL_P-count));
if (Dbl_iszero_hidden(opnd3p1)) {
Dbl_leftshiftby1(opnd3p1,opnd3p2);
dest_exponent--;
}
}
else {
if (Dbl_iszero_hidden(opnd3p1)) {
/* need to get one more bit of result */
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_leftshiftby1(opnd3p1,opnd3p2);
if (Dbl_iszero_sign(opnd1p1)) {
Dbl_setone_lowmantissap2(opnd3p2);
Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
}
else {
Twoword_add(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
}
dest_exponent--;
}
if (Dbl_iszero_sign(opnd1p1)) guardbit = TRUE;
stickybit = Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2);
}
inexact = guardbit | stickybit;
/*
* round result
*/
if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
Dbl_clear_signexponent(opnd3p1);
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1))
Dbl_increment(opnd3p1,opnd3p2);
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1))
Dbl_increment(opnd3p1,opnd3p2);
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
}
}
if (Dbl_isone_hidden(opnd3p1)) dest_exponent++;
}
Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2);
/*
* Test for overflow
*/
if (dest_exponent >= DBL_INFINITY_EXPONENT) {
/* trap if OVERFLOWTRAP enabled */
if (Is_overflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return(OVERFLOWEXCEPTION);
}
Set_overflowflag();
/* set result to infinity or largest number */
Dbl_setoverflow(resultp1,resultp2);
inexact = TRUE;
}
/*
* Test for underflow
*/
else if (dest_exponent <= 0) {
/* trap if UNDERFLOWTRAP enabled */
if (Is_underflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return(UNDERFLOWEXCEPTION);
}
/* Determine if should set underflow flag */
is_tiny = TRUE;
if (dest_exponent == 0 && inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
}
}
/*
* denormalize result or set to signed zero
*/
stickybit = inexact;
Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit,
stickybit,inexact);
/* return rounded number */
if (inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
}
if (is_tiny) Set_underflowflag();
}
Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2);
}
else Dbl_set_exponent(resultp1,dest_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
/* check for inexact */
if (inexact) {
if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
else Set_inexactflag();
}
return(NOEXCEPTION);
}
int
dbl_fmpy(
dbl_floating_point *srcptr1,
dbl_floating_point *srcptr2,
dbl_floating_point *dstptr,
unsigned int *status)
{
register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
register unsigned int opnd3p1, opnd3p2, resultp1, resultp2;
register int dest_exponent, count;
register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
boolean is_tiny;
Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
/*
* set sign bit of result
*/
if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
Dbl_setnegativezerop1(resultp1);
else Dbl_setzerop1(resultp1);
/*
* check first operand for NaN's or infinity
*/
if (Dbl_isinfinity_exponent(opnd1p1)) {
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
/*
* invalid since operands are infinity
* and zero
*/
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* return infinity
*/
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else {
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd1p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd1p1);
}
/*
* is second operand a signaling NaN?
*/
else if (Dbl_is_signalingnan(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
}
/*
* check second operand for NaN's or infinity
*/
if (Dbl_isinfinity_exponent(opnd2p1)) {
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
/* invalid since operands are zero & infinity */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(opnd2p1,opnd2p2);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* return infinity
*/
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* Generate exponent
*/
dest_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) -DBL_BIAS;
/*
* Generate mantissa
*/
if (Dbl_isnotzero_exponent(opnd1p1)) {
/* set hidden bit */
Dbl_clear_signexponent_set_hidden(opnd1p1);
}
else {
/* check for zero */
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/* is denormalized, adjust exponent */
Dbl_clear_signexponent(opnd1p1);
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_normalize(opnd1p1,opnd1p2,dest_exponent);
}
/* opnd2 needs to have hidden bit set with msb in hidden bit */
if (Dbl_isnotzero_exponent(opnd2p1)) {
Dbl_clear_signexponent_set_hidden(opnd2p1);
}
else {
/* check for zero */
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/* is denormalized; want to normalize */
Dbl_clear_signexponent(opnd2p1);
Dbl_leftshiftby1(opnd2p1,opnd2p2);
Dbl_normalize(opnd2p1,opnd2p2,dest_exponent);
}
/* Multiply two source mantissas together */
/* make room for guard bits */
Dbl_leftshiftby7(opnd2p1,opnd2p2);
Dbl_setzero(opnd3p1,opnd3p2);
/*
* Four bits at a time are inspected in each loop, and a
* simple shift and add multiply algorithm is used.
*/
for (count=1;count<=DBL_P;count+=4) {
stickybit |= Dlow4p2(opnd3p2);
Dbl_rightshiftby4(opnd3p1,opnd3p2);
if (Dbit28p2(opnd1p2)) {
/* Twoword_add should be an ADDC followed by an ADD. */
Twoword_add(opnd3p1, opnd3p2, opnd2p1<<3 | opnd2p2>>29,
opnd2p2<<3);
}
if (Dbit29p2(opnd1p2)) {
Twoword_add(opnd3p1, opnd3p2, opnd2p1<<2 | opnd2p2>>30,
opnd2p2<<2);
}
if (Dbit30p2(opnd1p2)) {
Twoword_add(opnd3p1, opnd3p2, opnd2p1<<1 | opnd2p2>>31,
opnd2p2<<1);
}
if (Dbit31p2(opnd1p2)) {
Twoword_add(opnd3p1, opnd3p2, opnd2p1, opnd2p2);
}
Dbl_rightshiftby4(opnd1p1,opnd1p2);
}
if (Dbit3p1(opnd3p1)==0) {
Dbl_leftshiftby1(opnd3p1,opnd3p2);
}
else {
/* result mantissa >= 2. */
dest_exponent++;
}
/* check for denormalized result */
while (Dbit3p1(opnd3p1)==0) {
Dbl_leftshiftby1(opnd3p1,opnd3p2);
dest_exponent--;
}
/*
* check for guard, sticky and inexact bits
*/
stickybit |= Dallp2(opnd3p2) << 25;
guardbit = (Dallp2(opnd3p2) << 24) >> 31;
inexact = guardbit | stickybit;
/* align result mantissa */
Dbl_rightshiftby8(opnd3p1,opnd3p2);
/*
* round result
*/
if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) {
Dbl_clear_signexponent(opnd3p1);
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1))
Dbl_increment(opnd3p1,opnd3p2);
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1))
Dbl_increment(opnd3p1,opnd3p2);
break;
case ROUNDNEAREST:
if (guardbit) {
if (stickybit || Dbl_isone_lowmantissap2(opnd3p2))
Dbl_increment(opnd3p1,opnd3p2);
}
}
if (Dbl_isone_hidden(opnd3p1)) dest_exponent++;
}
Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2);
/*
* Test for overflow
*/
if (dest_exponent >= DBL_INFINITY_EXPONENT) {
/* trap if OVERFLOWTRAP enabled */
if (Is_overflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return (OVERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return (OVERFLOWEXCEPTION);
}
inexact = TRUE;
Set_overflowflag();
/* set result to infinity or largest number */
Dbl_setoverflow(resultp1,resultp2);
}
/*
* Test for underflow
*/
else if (dest_exponent <= 0) {
/* trap if UNDERFLOWTRAP enabled */
if (Is_underflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return (UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return (UNDERFLOWEXCEPTION);
}
/* Determine if should set underflow flag */
is_tiny = TRUE;
if (dest_exponent == 0 && inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
}
}
/*
* denormalize result or set to signed zero
*/
stickybit = inexact;
Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit,
stickybit,inexact);
/* return zero or smallest number */
if (inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
}
if (is_tiny) Set_underflowflag();
}
Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2);
}
else Dbl_set_exponent(resultp1,dest_exponent);
/* check for inexact */
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact) {
if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
else Set_inexactflag();
}
return(NOEXCEPTION);
}
int
dbl_fdiv (dbl_floating_point * srcptr1, dbl_floating_point * srcptr2,
dbl_floating_point * dstptr, unsigned int *status)
{
register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
register unsigned int opnd3p1, opnd3p2, resultp1, resultp2;
register int dest_exponent, count;
register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
boolean is_tiny;
Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
/*
*/
if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
Dbl_setnegativezerop1(resultp1);
else Dbl_setzerop1(resultp1);
/*
*/
if (Dbl_isinfinity_exponent(opnd1p1)) {
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
if (Dbl_isinfinity(opnd2p1,opnd2p2)) {
/*
*/
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
*/
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else {
/*
*/
if (Dbl_isone_signaling(opnd1p1)) {
/* */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* */
Set_invalidflag();
Dbl_set_quiet(opnd1p1);
}
/*
*/
else if (Dbl_is_signalingnan(opnd2p1)) {
/* */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
*/
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
}
/*
*/
if (Dbl_isinfinity_exponent(opnd2p1)) {
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
/*
*/
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
*/
if (Dbl_isone_signaling(opnd2p1)) {
/* */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
}
/*
*/
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
*/
if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
/* */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
if (Is_divisionbyzerotrap_enabled())
return(DIVISIONBYZEROEXCEPTION);
Set_divisionbyzeroflag();
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
*/
dest_exponent = Dbl_exponent(opnd1p1) - Dbl_exponent(opnd2p1) + DBL_BIAS;
/*
*/
if (Dbl_isnotzero_exponent(opnd1p1)) {
/* */
Dbl_clear_signexponent_set_hidden(opnd1p1);
}
else {
/* */
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/* */
Dbl_clear_signexponent(opnd1p1);
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_normalize(opnd1p1,opnd1p2,dest_exponent);
}
/* */
if (Dbl_isnotzero_exponent(opnd2p1)) {
Dbl_clear_signexponent_set_hidden(opnd2p1);
}
else {
/* */
Dbl_clear_signexponent(opnd2p1);
Dbl_leftshiftby1(opnd2p1,opnd2p2);
while (Dbl_iszero_hiddenhigh7mantissa(opnd2p1)) {
dest_exponent+=8;
Dbl_leftshiftby8(opnd2p1,opnd2p2);
}
if (Dbl_iszero_hiddenhigh3mantissa(opnd2p1)) {
dest_exponent+=4;
Dbl_leftshiftby4(opnd2p1,opnd2p2);
}
while (Dbl_iszero_hidden(opnd2p1)) {
dest_exponent++;
Dbl_leftshiftby1(opnd2p1,opnd2p2);
}
}
/* */
/*
*/
Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
Dbl_setzero(opnd3p1,opnd3p2);
for (count=1; count <= DBL_P && (opnd1p1 || opnd1p2); count++) {
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_leftshiftby1(opnd3p1,opnd3p2);
if (Dbl_iszero_sign(opnd1p1)) {
Dbl_setone_lowmantissap2(opnd3p2);
Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
}
else {
Twoword_add(opnd1p1, opnd1p2, opnd2p1, opnd2p2);
}
}
if (count <= DBL_P) {
Dbl_leftshiftby1(opnd3p1,opnd3p2);
Dbl_setone_lowmantissap2(opnd3p2);
Dbl_leftshift(opnd3p1,opnd3p2,(DBL_P-count));
if (Dbl_iszero_hidden(opnd3p1)) {
Dbl_leftshiftby1(opnd3p1,opnd3p2);
dest_exponent--;
}
}
else {
if (Dbl_iszero_hidden(opnd3p1)) {
/* */
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_leftshiftby1(opnd3p1,opnd3p2);
if (Dbl_iszero_sign(opnd1p1)) {
Dbl_setone_lowmantissap2(opnd3p2);
Twoword_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
}
else {
Twoword_add(opnd1p1,opnd1p2,opnd2p1,opnd2p2);
}
dest_exponent--;
}
if (Dbl_iszero_sign(opnd1p1)) guardbit = TRUE;
stickybit = Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2);
}
inexact = guardbit | stickybit;
/*
*/
if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
Dbl_clear_signexponent(opnd3p1);
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1))
Dbl_increment(opnd3p1,opnd3p2);
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1))
Dbl_increment(opnd3p1,opnd3p2);
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
}
}
if (Dbl_isone_hidden(opnd3p1)) dest_exponent++;
}
Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2);
/*
*/
if (dest_exponent >= DBL_INFINITY_EXPONENT) {
/* */
if (Is_overflowtrap_enabled()) {
/*
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return(OVERFLOWEXCEPTION);
}
Set_overflowflag();
/* */
Dbl_setoverflow(resultp1,resultp2);
inexact = TRUE;
}
/*
*/
else if (dest_exponent <= 0) {
/* */
if (Is_underflowtrap_enabled()) {
/*
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return(UNDERFLOWEXCEPTION);
}
/* */
is_tiny = TRUE;
if (dest_exponent == 0 && inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
if (Dbl_isone_hiddenoverflow(opnd3p1))
is_tiny = FALSE;
Dbl_decrement(opnd3p1,opnd3p2);
}
break;
}
}
/*
*/
stickybit = inexact;
Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit,
stickybit,inexact);
/* */
if (inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1)) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Dbl_isone_lowmantissap2(opnd3p2))) {
Dbl_increment(opnd3p1,opnd3p2);
}
break;
}
if (is_tiny) Set_underflowflag();
}
Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2);
}
else Dbl_set_exponent(resultp1,dest_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
/* */
if (inexact) {
if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
else Set_inexactflag();
}
return(NOEXCEPTION);
}
/*
* Double_add: add two double precision values.
*/
dbl_fadd(
dbl_floating_point *leftptr,
dbl_floating_point *rightptr,
dbl_floating_point *dstptr,
unsigned int *status)
{
register unsigned int signless_upper_left, signless_upper_right, save;
register unsigned int leftp1, leftp2, rightp1, rightp2, extent;
register unsigned int resultp1 = 0, resultp2 = 0;
register int result_exponent, right_exponent, diff_exponent;
register int sign_save, jumpsize;
register boolean inexact = FALSE;
register boolean underflowtrap;
/* Create local copies of the numbers */
Dbl_copyfromptr(leftptr,leftp1,leftp2);
Dbl_copyfromptr(rightptr,rightp1,rightp2);
/* A zero "save" helps discover equal operands (for later), *
* and is used in swapping operands (if needed). */
Dbl_xortointp1(leftp1,rightp1,/*to*/save);
/*
* check first operand for NaN's or infinity
*/
if ((result_exponent = Dbl_exponent(leftp1)) == DBL_INFINITY_EXPONENT)
{
if (Dbl_iszero_mantissa(leftp1,leftp2))
{
if (Dbl_isnotnan(rightp1,rightp2))
{
if (Dbl_isinfinity(rightp1,rightp2) && save!=0)
{
/*
* invalid since operands are opposite signed infinity's
*/
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* return infinity
*/
Dbl_copytoptr(leftp1,leftp2,dstptr);
return(NOEXCEPTION);
}
}
else
{
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(leftp1))
{
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(leftp1);
}
/*
* is second operand a signaling NaN?
*/
else if (Dbl_is_signalingnan(rightp1))
{
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(rightp1);
Dbl_copytoptr(rightp1,rightp2,dstptr);
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(leftp1,leftp2,dstptr);
return(NOEXCEPTION);
}
} /* End left NaN or Infinity processing */
/*
* check second operand for NaN's or infinity
*/
if (Dbl_isinfinity_exponent(rightp1))
{
if (Dbl_iszero_mantissa(rightp1,rightp2))
{
/* return infinity */
Dbl_copytoptr(rightp1,rightp2,dstptr);
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(rightp1))
{
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(rightp1);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(rightp1,rightp2,dstptr);
return(NOEXCEPTION);
} /* End right NaN or Infinity processing */
/* Invariant: Must be dealing with finite numbers */
/* Compare operands by removing the sign */
Dbl_copytoint_exponentmantissap1(leftp1,signless_upper_left);
Dbl_copytoint_exponentmantissap1(rightp1,signless_upper_right);
/* sign difference selects add or sub operation. */
if(Dbl_ismagnitudeless(leftp2,rightp2,signless_upper_left,signless_upper_right))
{
/* Set the left operand to the larger one by XOR swap *
* First finish the first word using "save" */
Dbl_xorfromintp1(save,rightp1,/*to*/rightp1);
Dbl_xorfromintp1(save,leftp1,/*to*/leftp1);
Dbl_swap_lower(leftp2,rightp2);
result_exponent = Dbl_exponent(leftp1);
}
/* Invariant: left is not smaller than right. */
if((right_exponent = Dbl_exponent(rightp1)) == 0)
{
/* Denormalized operands. First look for zeroes */
if(Dbl_iszero_mantissa(rightp1,rightp2))
{
/* right is zero */
if(Dbl_iszero_exponentmantissa(leftp1,leftp2))
{
/* Both operands are zeros */
if(Is_rounding_mode(ROUNDMINUS))
{
Dbl_or_signs(leftp1,/*with*/rightp1);
}
else
{
Dbl_and_signs(leftp1,/*with*/rightp1);
}
}
else
{
/* Left is not a zero and must be the result. Trapped
* underflows are signaled if left is denormalized. Result
* is always exact. */
if( (result_exponent == 0) && Is_underflowtrap_enabled() )
{
/* need to normalize results mantissa */
sign_save = Dbl_signextendedsign(leftp1);
Dbl_leftshiftby1(leftp1,leftp2);
Dbl_normalize(leftp1,leftp2,result_exponent);
Dbl_set_sign(leftp1,/*using*/sign_save);
Dbl_setwrapped_exponent(leftp1,result_exponent,unfl);
Dbl_copytoptr(leftp1,leftp2,dstptr);
/* inexact = FALSE */
return(UNDERFLOWEXCEPTION);
}
}
Dbl_copytoptr(leftp1,leftp2,dstptr);
return(NOEXCEPTION);
}
/* Neither are zeroes */
Dbl_clear_sign(rightp1); /* Exponent is already cleared */
if(result_exponent == 0 )
{
/* Both operands are denormalized. The result must be exact
* and is simply calculated. A sum could become normalized and a
* difference could cancel to a true zero. */
if( (/*signed*/int) save < 0 )
{
Dbl_subtract(leftp1,leftp2,/*minus*/rightp1,rightp2,
/*into*/resultp1,resultp2);
if(Dbl_iszero_mantissa(resultp1,resultp2))
{
if(Is_rounding_mode(ROUNDMINUS))
{
Dbl_setone_sign(resultp1);
}
else
{
Dbl_setzero_sign(resultp1);
}
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else
{
Dbl_addition(leftp1,leftp2,rightp1,rightp2,
/*into*/resultp1,resultp2);
if(Dbl_isone_hidden(resultp1))
{
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
if(Is_underflowtrap_enabled())
{
/* need to normalize result */
sign_save = Dbl_signextendedsign(resultp1);
Dbl_leftshiftby1(resultp1,resultp2);
Dbl_normalize(resultp1,resultp2,result_exponent);
Dbl_set_sign(resultp1,/*using*/sign_save);
Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
/* inexact = FALSE */
return(UNDERFLOWEXCEPTION);
}
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
right_exponent = 1; /* Set exponent to reflect different bias
* with denomalized numbers. */
}
else
{
Dbl_clear_signexponent_set_hidden(rightp1);
}
int
dbl_fmpyfadd(
dbl_floating_point *src1ptr,
dbl_floating_point *src2ptr,
dbl_floating_point *src3ptr,
unsigned int *status,
dbl_floating_point *dstptr)
{
unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2, opnd3p1, opnd3p2;
register unsigned int tmpresp1, tmpresp2, tmpresp3, tmpresp4;
unsigned int rightp1, rightp2, rightp3, rightp4;
unsigned int resultp1, resultp2 = 0, resultp3 = 0, resultp4 = 0;
register int mpy_exponent, add_exponent, count;
boolean inexact = FALSE, is_tiny = FALSE;
unsigned int signlessleft1, signlessright1, save;
register int result_exponent, diff_exponent;
int sign_save, jumpsize;
Dbl_copyfromptr(src1ptr,opnd1p1,opnd1p2);
Dbl_copyfromptr(src2ptr,opnd2p1,opnd2p2);
Dbl_copyfromptr(src3ptr,opnd3p1,opnd3p2);
if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
Dbl_setnegativezerop1(resultp1);
else Dbl_setzerop1(resultp1);
mpy_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) - DBL_BIAS;
if (Dbl_isinfinity_exponent(opnd1p1)) {
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
if (Dbl_isnotnan(opnd2p1,opnd2p2) &&
Dbl_isnotnan(opnd3p1,opnd3p2)) {
if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
(Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else {
if (Dbl_isone_signaling(opnd1p1)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_set_quiet(opnd1p1);
}
else if (Dbl_is_signalingnan(opnd2p1)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
else if (Dbl_is_signalingnan(opnd3p1)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_set_quiet(opnd3p1);
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(NOEXCEPTION);
}
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
}
if (Dbl_isinfinity_exponent(opnd2p1)) {
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
if (Dbl_isnotnan(opnd3p1,opnd3p2)) {
if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(opnd2p1,opnd2p2);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
(Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else {
if (Dbl_isone_signaling(opnd2p1)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
}
else if (Dbl_is_signalingnan(opnd3p1)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_set_quiet(opnd3p1);
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(NOEXCEPTION);
}
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
}
if (Dbl_isinfinity_exponent(opnd3p1)) {
if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(NOEXCEPTION);
} else {
if (Dbl_isone_signaling(opnd3p1)) {
if (Is_invalidtrap_enabled())
return(OPC_2E_INVALIDEXCEPTION);
Set_invalidflag();
Dbl_set_quiet(opnd3p1);
}
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(NOEXCEPTION);
}
}
if (Dbl_isnotzero_exponent(opnd1p1)) {
Dbl_clear_signexponent_set_hidden(opnd1p1);
}
else {
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
if (Is_rounding_mode(ROUNDMINUS)) {
Dbl_or_signs(opnd3p1,resultp1);
} else {
Dbl_and_signs(opnd3p1,resultp1);
}
}
else if (Dbl_iszero_exponent(opnd3p1) &&
Is_underflowtrap_enabled()) {
sign_save = Dbl_signextendedsign(opnd3p1);
result_exponent = 0;
Dbl_leftshiftby1(opnd3p1,opnd3p2);
Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
Dbl_set_sign(opnd3p1,sign_save);
Dbl_setwrapped_exponent(opnd3p1,result_exponent,
unfl);
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(OPC_2E_UNDERFLOWEXCEPTION);
}
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(NOEXCEPTION);
}
Dbl_clear_signexponent(opnd1p1);
Dbl_leftshiftby1(opnd1p1,opnd1p2);
Dbl_normalize(opnd1p1,opnd1p2,mpy_exponent);
}
if (Dbl_isnotzero_exponent(opnd2p1)) {
Dbl_clear_signexponent_set_hidden(opnd2p1);
}
else {
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
if (Is_rounding_mode(ROUNDMINUS)) {
Dbl_or_signs(opnd3p1,resultp1);
} else {
Dbl_and_signs(opnd3p1,resultp1);
}
}
else if (Dbl_iszero_exponent(opnd3p1) &&
Is_underflowtrap_enabled()) {
sign_save = Dbl_signextendedsign(opnd3p1);
result_exponent = 0;
Dbl_leftshiftby1(opnd3p1,opnd3p2);
Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
Dbl_set_sign(opnd3p1,sign_save);
Dbl_setwrapped_exponent(opnd3p1,result_exponent,
unfl);
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(OPC_2E_UNDERFLOWEXCEPTION);
}
Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
return(NOEXCEPTION);
}
Dbl_clear_signexponent(opnd2p1);
Dbl_leftshiftby1(opnd2p1,opnd2p2);
Dbl_normalize(opnd2p1,opnd2p2,mpy_exponent);
}
Dblext_setzero(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
for (count = DBL_P-1; count >= 0; count -= 4) {
Dblext_rightshiftby4(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
if (Dbit28p2(opnd1p2)) {
Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
opnd2p1<<3 | opnd2p2>>29, opnd2p2<<3, 0, 0);
}
if (Dbit29p2(opnd1p2)) {
Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
opnd2p1<<2 | opnd2p2>>30, opnd2p2<<2, 0, 0);
}
if (Dbit30p2(opnd1p2)) {
Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
opnd2p1<<1 | opnd2p2>>31, opnd2p2<<1, 0, 0);
}
if (Dbit31p2(opnd1p2)) {
Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
opnd2p1, opnd2p2, 0, 0);
}
Dbl_rightshiftby4(opnd1p1,opnd1p2);
}
if (Is_dexthiddenoverflow(tmpresp1)) {
mpy_exponent++;
Dblext_rightshiftby1(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
}
Dblext_set_sign(tmpresp1,Dbl_sign(resultp1));
add_exponent = Dbl_exponent(opnd3p1);
if (add_exponent == 0) {
if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
result_exponent = mpy_exponent;
Dblext_copy(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
resultp1,resultp2,resultp3,resultp4);
sign_save = Dbl_signextendedsign(resultp1);
goto round;
}
sign_save = Dbl_signextendedsign(opnd3p1);
Dbl_clear_signexponent(opnd3p1);
Dbl_leftshiftby1(opnd3p1,opnd3p2);
Dbl_normalize(opnd3p1,opnd3p2,add_exponent);
Dbl_set_sign(opnd3p1,sign_save);
} else {
Dbl_clear_exponent_set_hidden(opnd3p1);
}
Dbl_copyto_dblext(opnd3p1,opnd3p2,rightp1,rightp2,rightp3,rightp4);
Dblext_xortointp1(tmpresp1,rightp1,save);
Dblext_copytoint_exponentmantissap1(tmpresp1,signlessleft1);
Dblext_copytoint_exponentmantissap1(rightp1,signlessright1);
if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
Dblext_ismagnitudeless(tmpresp2,rightp2,signlessleft1,signlessright1)){
Dblext_xorfromintp1(save,rightp1,rightp1);
Dblext_xorfromintp1(save,tmpresp1,tmpresp1);
Dblext_swap_lower(tmpresp2,tmpresp3,tmpresp4,
rightp2,rightp3,rightp4);
diff_exponent = add_exponent - mpy_exponent;
result_exponent = add_exponent;
} else {
diff_exponent = mpy_exponent - add_exponent;
result_exponent = mpy_exponent;
}
if (diff_exponent > DBLEXT_THRESHOLD) {
diff_exponent = DBLEXT_THRESHOLD;
}
Dblext_clear_sign(rightp1);
Dblext_right_align(rightp1,rightp2,rightp3,rightp4,
diff_exponent);
if ((int)save < 0) {
Dblext_subtract(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
rightp1,rightp2,rightp3,rightp4,
resultp1,resultp2,resultp3,resultp4);
sign_save = Dbl_signextendedsign(resultp1);
if (Dbl_iszero_hidden(resultp1)) {
Dblext_leftshiftby1(resultp1,resultp2,resultp3,
resultp4);
if(Dblext_iszero(resultp1,resultp2,resultp3,resultp4)){
if (Is_rounding_mode(ROUNDMINUS))
Dbl_setone_sign(resultp1);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
result_exponent--;
if (Dbl_isone_hidden(resultp1)) {
goto round;
}
while (Dbl_iszero_hiddenhigh7mantissa(resultp1)) {
Dblext_leftshiftby8(resultp1,resultp2,resultp3,resultp4);
result_exponent -= 8;
}
if (Dbl_iszero_hiddenhigh3mantissa(resultp1)) {
Dblext_leftshiftby4(resultp1,resultp2,resultp3,resultp4);
result_exponent -= 4;
}
jumpsize = Dbl_hiddenhigh3mantissa(resultp1);
if (jumpsize <= 7) switch(jumpsize) {
case 1:
Dblext_leftshiftby3(resultp1,resultp2,resultp3,
resultp4);
result_exponent -= 3;
break;
case 2:
case 3:
Dblext_leftshiftby2(resultp1,resultp2,resultp3,
resultp4);
result_exponent -= 2;
break;
case 4:
case 5:
case 6:
case 7:
Dblext_leftshiftby1(resultp1,resultp2,resultp3,
resultp4);
result_exponent -= 1;
break;
}
}
}
else {
Dblext_addition(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
rightp1,rightp2,rightp3,rightp4,
resultp1,resultp2,resultp3,resultp4);
sign_save = Dbl_signextendedsign(resultp1);
if (Dbl_isone_hiddenoverflow(resultp1)) {
Dblext_arithrightshiftby1(resultp1,resultp2,resultp3,
resultp4);
result_exponent++;
}
}
round:
if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
Dblext_denormalize(resultp1,resultp2,resultp3,resultp4,
result_exponent,is_tiny);
}
Dbl_set_sign(resultp1,sign_save);
if (Dblext_isnotzero_mantissap3(resultp3) ||
Dblext_isnotzero_mantissap4(resultp4)) {
inexact = TRUE;
switch(Rounding_mode()) {
case ROUNDNEAREST:
if (Dblext_isone_highp3(resultp3)) {
if (Dblext_isnotzero_low31p3(resultp3) ||
Dblext_isnotzero_mantissap4(resultp4) ||
Dblext_isone_lowp2(resultp2)) {
Dbl_increment(resultp1,resultp2);
}
}
break;
case ROUNDPLUS:
if (Dbl_iszero_sign(resultp1)) {
Dbl_increment(resultp1,resultp2);
}
break;
case ROUNDMINUS:
if (Dbl_isone_sign(resultp1)) {
Dbl_increment(resultp1,resultp2);
}
case ROUNDZERO:;
}
if (Dbl_isone_hiddenoverflow(resultp1)) result_exponent++;
}
if (result_exponent >= DBL_INFINITY_EXPONENT) {
if (Is_overflowtrap_enabled()) {
Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return (OPC_2E_OVERFLOWEXCEPTION |
OPC_2E_INEXACTEXCEPTION);
else Set_inexactflag();
return (OPC_2E_OVERFLOWEXCEPTION);
}
inexact = TRUE;
Set_overflowflag();
Dbl_setoverflow(resultp1,resultp2);
} else if (result_exponent <= 0) {
if (Is_underflowtrap_enabled()) {
Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled())
return (OPC_2E_UNDERFLOWEXCEPTION |
OPC_2E_INEXACTEXCEPTION);
else Set_inexactflag();
return(OPC_2E_UNDERFLOWEXCEPTION);
}
else if (inexact && is_tiny) Set_underflowflag();
}
else Dbl_set_exponent(resultp1,result_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
if (inexact)
if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
else Set_inexactflag();
return(NOEXCEPTION);
}
int
dbl_fcmp (dbl_floating_point * leftptr, dbl_floating_point * rightptr,
unsigned int cond, unsigned int *status)
/* */
{
register unsigned int leftp1, leftp2, rightp1, rightp2;
register int xorresult;
/* */
Dbl_copyfromptr(leftptr,leftp1,leftp2);
Dbl_copyfromptr(rightptr,rightp1,rightp2);
/*
*/
if( (Dbl_exponent(leftp1) == DBL_INFINITY_EXPONENT)
|| (Dbl_exponent(rightp1) == DBL_INFINITY_EXPONENT) )
{
/*
*/
if( ((Dbl_exponent(leftp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(leftp1,leftp2)
&& (Exception(cond) || Dbl_isone_signaling(leftp1)))
||
((Dbl_exponent(rightp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(rightp1,rightp2)
&& (Exception(cond) || Dbl_isone_signaling(rightp1))) )
{
if( Is_invalidtrap_enabled() ) {
Set_status_cbit(Unordered(cond));
return(INVALIDEXCEPTION);
}
else Set_invalidflag();
Set_status_cbit(Unordered(cond));
return(NOEXCEPTION);
}
/*
*/
else if( ((Dbl_exponent(leftp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(leftp1,leftp2))
||
((Dbl_exponent(rightp1) == DBL_INFINITY_EXPONENT)
&& Dbl_isnotzero_mantissa(rightp1,rightp2)) )
{
/* */
Set_status_cbit(Unordered(cond));
return(NOEXCEPTION);
}
/* */
}
/*
*/
Dbl_xortointp1(leftp1,rightp1,xorresult);
if( xorresult < 0 )
{
/*
*/
if( Dbl_iszero_exponentmantissa(leftp1,leftp2)
&& Dbl_iszero_exponentmantissa(rightp1,rightp2) )
{
Set_status_cbit(Equal(cond));
}
else if( Dbl_isone_sign(leftp1) )
{
Set_status_cbit(Lessthan(cond));
}
else
{
Set_status_cbit(Greaterthan(cond));
}
}
/*
*/
else if(Dbl_isequal(leftp1,leftp2,rightp1,rightp2))
{
Set_status_cbit(Equal(cond));
}
else if( Dbl_iszero_sign(leftp1) )
{
/* */
if( Dbl_allp1(leftp1) < Dbl_allp1(rightp1) )
{
Set_status_cbit(Lessthan(cond));
}
else if( Dbl_allp1(leftp1) > Dbl_allp1(rightp1) )
{
Set_status_cbit(Greaterthan(cond));
}
else
{
/*
*/
if( Dbl_allp2(leftp2) < Dbl_allp2(rightp2) )
{
Set_status_cbit(Lessthan(cond));
}
else
{
Set_status_cbit(Greaterthan(cond));
}
}
}
else
{
/*
*/
if( Dbl_allp1(leftp1) > Dbl_allp1(rightp1) )
{
Set_status_cbit(Lessthan(cond));
}
else if( Dbl_allp1(leftp1) < Dbl_allp1(rightp1) )
{
Set_status_cbit(Greaterthan(cond));
}
else
{
/*
*/
if( Dbl_allp2(leftp2) > Dbl_allp2(rightp2) )
{
Set_status_cbit(Lessthan(cond));
}
else
{
Set_status_cbit(Greaterthan(cond));
}
}
}
return(NOEXCEPTION);
}