int
sgl_fmpy(
sgl_floating_point *srcptr1,
sgl_floating_point *srcptr2,
sgl_floating_point *dstptr,
unsigned int *status)
{
register unsigned int opnd1, opnd2, opnd3, result;
register int dest_exponent, count;
register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
boolean is_tiny;
opnd1 = *srcptr1;
opnd2 = *srcptr2;
/*
* set sign bit of result
*/
if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result);
else Sgl_setzero(result);
/*
* check first operand for NaN's or infinity
*/
if (Sgl_isinfinity_exponent(opnd1)) {
if (Sgl_iszero_mantissa(opnd1)) {
if (Sgl_isnotnan(opnd2)) {
if (Sgl_iszero_exponentmantissa(opnd2)) {
/*
* invalid since operands are infinity
* and zero
*/
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(result);
*dstptr = result;
return(NOEXCEPTION);
}
/*
* return infinity
*/
Sgl_setinfinity_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
}
else {
/*
* is NaN; signaling or quiet?
*/
if (Sgl_isone_signaling(opnd1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd1);
}
/*
* is second operand a signaling NaN?
*/
else if (Sgl_is_signalingnan(opnd2)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd2);
*dstptr = opnd2;
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
*dstptr = opnd1;
return(NOEXCEPTION);
}
}
/*
* check second operand for NaN's or infinity
*/
if (Sgl_isinfinity_exponent(opnd2)) {
if (Sgl_iszero_mantissa(opnd2)) {
if (Sgl_iszero_exponentmantissa(opnd1)) {
/* invalid since operands are zero & infinity */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(opnd2);
*dstptr = opnd2;
return(NOEXCEPTION);
}
/*
* return infinity
*/
Sgl_setinfinity_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Sgl_isone_signaling(opnd2)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd2);
}
/*
* return quiet NaN
*/
*dstptr = opnd2;
return(NOEXCEPTION);
}
/*
* Generate exponent
*/
dest_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS;
/*
* Generate mantissa
*/
if (Sgl_isnotzero_exponent(opnd1)) {
/* set hidden bit */
Sgl_clear_signexponent_set_hidden(opnd1);
}
else {
/* check for zero */
if (Sgl_iszero_mantissa(opnd1)) {
Sgl_setzero_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
/* is denormalized, adjust exponent */
Sgl_clear_signexponent(opnd1);
Sgl_leftshiftby1(opnd1);
Sgl_normalize(opnd1,dest_exponent);
}
/* opnd2 needs to have hidden bit set with msb in hidden bit */
if (Sgl_isnotzero_exponent(opnd2)) {
Sgl_clear_signexponent_set_hidden(opnd2);
}
else {
/* check for zero */
if (Sgl_iszero_mantissa(opnd2)) {
Sgl_setzero_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
/* is denormalized; want to normalize */
Sgl_clear_signexponent(opnd2);
Sgl_leftshiftby1(opnd2);
Sgl_normalize(opnd2,dest_exponent);
}
/* Multiply two source mantissas together */
Sgl_leftshiftby4(opnd2); /* make room for guard bits */
Sgl_setzero(opnd3);
/*
* Four bits at a time are inspected in each loop, and a
* simple shift and add multiply algorithm is used.
*/
for (count=1; count<SGL_P; count+=4) {
stickybit |= Slow4(opnd3);
Sgl_rightshiftby4(opnd3);
if (Sbit28(opnd1)) Sall(opnd3) += (Sall(opnd2) << 3);
if (Sbit29(opnd1)) Sall(opnd3) += (Sall(opnd2) << 2);
if (Sbit30(opnd1)) Sall(opnd3) += (Sall(opnd2) << 1);
if (Sbit31(opnd1)) Sall(opnd3) += Sall(opnd2);
Sgl_rightshiftby4(opnd1);
}
/* make sure result is left-justified */
if (Sgl_iszero_sign(opnd3)) {
Sgl_leftshiftby1(opnd3);
}
else {
/* result mantissa >= 2. */
dest_exponent++;
}
/* check for denormalized result */
while (Sgl_iszero_sign(opnd3)) {
Sgl_leftshiftby1(opnd3);
dest_exponent--;
}
/*
* check for guard, sticky and inexact bits
*/
stickybit |= Sgl_all(opnd3) << (SGL_BITLENGTH - SGL_EXP_LENGTH + 1);
guardbit = Sbit24(opnd3);
inexact = guardbit | stickybit;
/* re-align mantissa */
Sgl_rightshiftby8(opnd3);
/*
* round result
*/
if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) {
Sgl_clear_signexponent(opnd3);
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Sgl_iszero_sign(result))
Sgl_increment(opnd3);
break;
case ROUNDMINUS:
if (Sgl_isone_sign(result))
Sgl_increment(opnd3);
break;
case ROUNDNEAREST:
if (guardbit) {
if (stickybit || Sgl_isone_lowmantissa(opnd3))
Sgl_increment(opnd3);
}
}
if (Sgl_isone_hidden(opnd3)) dest_exponent++;
}
Sgl_set_mantissa(result,opnd3);
/*
* Test for overflow
*/
if (dest_exponent >= SGL_INFINITY_EXPONENT) {
/* trap if OVERFLOWTRAP enabled */
if (Is_overflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Sgl_setwrapped_exponent(result,dest_exponent,ovfl);
*dstptr = result;
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 */
Sgl_setoverflow(result);
}
/*
* Test for underflow
*/
else if (dest_exponent <= 0) {
/* trap if UNDERFLOWTRAP enabled */
if (Is_underflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Sgl_setwrapped_exponent(result,dest_exponent,unfl);
*dstptr = result;
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 (Sgl_iszero_sign(result)) {
Sgl_increment(opnd3);
if (Sgl_isone_hiddenoverflow(opnd3))
is_tiny = FALSE;
Sgl_decrement(opnd3);
}
break;
case ROUNDMINUS:
if (Sgl_isone_sign(result)) {
Sgl_increment(opnd3);
if (Sgl_isone_hiddenoverflow(opnd3))
is_tiny = FALSE;
Sgl_decrement(opnd3);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Sgl_isone_lowmantissa(opnd3))) {
Sgl_increment(opnd3);
if (Sgl_isone_hiddenoverflow(opnd3))
is_tiny = FALSE;
Sgl_decrement(opnd3);
}
break;
}
}
/*
* denormalize result or set to signed zero
*/
stickybit = inexact;
Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact);
/* return zero or smallest number */
if (inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Sgl_iszero_sign(result)) {
Sgl_increment(opnd3);
}
break;
case ROUNDMINUS:
if (Sgl_isone_sign(result)) {
Sgl_increment(opnd3);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Sgl_isone_lowmantissa(opnd3))) {
Sgl_increment(opnd3);
}
break;
}
if (is_tiny) Set_underflowflag();
}
Sgl_set_exponentmantissa(result,opnd3);
}
else Sgl_set_exponent(result,dest_exponent);
*dstptr = result;
/* check for inexact */
if (inexact) {
if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
else Set_inexactflag();
}
return(NOEXCEPTION);
}
int
sgl_frem (sgl_floating_point * srcptr1, sgl_floating_point * srcptr2,
sgl_floating_point * dstptr, unsigned int *status)
{
register unsigned int opnd1, opnd2, result;
register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
register boolean roundup = FALSE;
opnd1 = *srcptr1;
opnd2 = *srcptr2;
/*
* check first operand for NaN's or infinity
*/
if ((opnd1_exponent = Sgl_exponent(opnd1)) == SGL_INFINITY_EXPONENT) {
if (Sgl_iszero_mantissa(opnd1)) {
if (Sgl_isnotnan(opnd2)) {
/* invalid since first operand is infinity */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(result);
*dstptr = result;
return(NOEXCEPTION);
}
}
else {
/*
* is NaN; signaling or quiet?
*/
if (Sgl_isone_signaling(opnd1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd1);
}
/*
* is second operand a signaling NaN?
*/
else if (Sgl_is_signalingnan(opnd2)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd2);
*dstptr = opnd2;
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
*dstptr = opnd1;
return(NOEXCEPTION);
}
}
/*
* check second operand for NaN's or infinity
*/
if ((opnd2_exponent = Sgl_exponent(opnd2)) == SGL_INFINITY_EXPONENT) {
if (Sgl_iszero_mantissa(opnd2)) {
/*
* return first operand
*/
*dstptr = opnd1;
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Sgl_isone_signaling(opnd2)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd2);
}
/*
* return quiet NaN
*/
*dstptr = opnd2;
return(NOEXCEPTION);
}
/*
* check second operand for zero
*/
if (Sgl_iszero_exponentmantissa(opnd2)) {
/* invalid since second operand is zero */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(result);
*dstptr = result;
return(NOEXCEPTION);
}
/*
* get sign of result
*/
result = opnd1;
/*
* check for denormalized operands
*/
if (opnd1_exponent == 0) {
/* check for zero */
if (Sgl_iszero_mantissa(opnd1)) {
*dstptr = opnd1;
return(NOEXCEPTION);
}
/* normalize, then continue */
opnd1_exponent = 1;
Sgl_normalize(opnd1,opnd1_exponent);
}
else {
Sgl_clear_signexponent_set_hidden(opnd1);
}
if (opnd2_exponent == 0) {
/* normalize, then continue */
opnd2_exponent = 1;
Sgl_normalize(opnd2,opnd2_exponent);
}
else {
Sgl_clear_signexponent_set_hidden(opnd2);
}
/* 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 && Sgl_isgreaterthan(opnd1,opnd2)) {
Sgl_all(result) = ~Sgl_all(result); /* set sign */
/* align opnd2 with opnd1 */
Sgl_leftshiftby1(opnd2);
Sgl_subtract(opnd2,opnd1,opnd2);
/* now normalize */
while (Sgl_iszero_hidden(opnd2)) {
Sgl_leftshiftby1(opnd2);
dest_exponent--;
}
Sgl_set_exponentmantissa(result,opnd2);
goto testforunderflow;
}
/*
* opnd1/opnd2 <= 1/2
*
* In this case n will round to zero, so
* r = opnd1
*/
Sgl_set_exponentmantissa(result,opnd1);
dest_exponent = opnd1_exponent;
goto testforunderflow;
}
/*
* Generate result
*
* Do iterative subtract until remainder is less than operand 2.
*/
while (stepcount-- > 0 && Sgl_all(opnd1)) {
if (Sgl_isnotlessthan(opnd1,opnd2))
Sgl_subtract(opnd1,opnd2,opnd1);
Sgl_leftshiftby1(opnd1);
}
/*
* Do last subtract, then determine which way to round if remainder
* is exactly 1/2 of opnd2
*/
if (Sgl_isnotlessthan(opnd1,opnd2)) {
Sgl_subtract(opnd1,opnd2,opnd1);
roundup = TRUE;
}
if (stepcount > 0 || Sgl_iszero(opnd1)) {
/* division is exact, remainder is zero */
Sgl_setzero_exponentmantissa(result);
*dstptr = result;
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.
*/
Sgl_leftshiftby1(opnd1);
if (Sgl_isgreaterthan(opnd1,opnd2)) {
Sgl_invert_sign(result);
Sgl_subtract((opnd2<<1),opnd1,opnd1);
}
/* check for remainder being exactly 1/2 of opnd2 */
else if (Sgl_isequal(opnd1,opnd2) && roundup) {
Sgl_invert_sign(result);
}
/* normalize result's mantissa */
while (Sgl_iszero_hidden(opnd1)) {
dest_exponent--;
Sgl_leftshiftby1(opnd1);
}
Sgl_set_exponentmantissa(result,opnd1);
/*
* Test for underflow
*/
testforunderflow:
if (dest_exponent <= 0) {
/* trap if UNDERFLOWTRAP enabled */
if (Is_underflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Sgl_setwrapped_exponent(result,dest_exponent,unfl);
*dstptr = result;
/* frem is always exact */
return(UNDERFLOWEXCEPTION);
}
/*
* denormalize result or set to signed zero
*/
if (dest_exponent >= (1 - SGL_P)) {
Sgl_rightshift_exponentmantissa(result,1-dest_exponent);
}
else {
Sgl_setzero_exponentmantissa(result);
}
}
else Sgl_set_exponent(result,dest_exponent);
*dstptr = result;
return(NOEXCEPTION);
}
* Single Floating-point to Double Floating-point
*/
/*ARGSUSED*/
int
sgl_to_dbl_fcnvff(
sgl_floating_point *srcptr,
unsigned int *nullptr,
dbl_floating_point *dstptr,
unsigned int *status)
{
register unsigned int src, resultp1, resultp2;
register int src_exponent;
src = *srcptr;
src_exponent = Sgl_exponent(src);
Dbl_allp1(resultp1) = Sgl_all(src); /* set sign of result */
/*
* Test for NaN or infinity
*/
if (src_exponent == SGL_INFINITY_EXPONENT) {
/*
* determine if NaN or infinity
*/
if (Sgl_iszero_mantissa(src)) {
/*
* is infinity; want to return double infinity
*/
Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* sgl_cmp: compare two values
*/
int
sgl_fcmp (sgl_floating_point * leftptr, sgl_floating_point * rightptr,
unsigned int cond, unsigned int *status)
/* The predicate to be tested */
{
register unsigned int left, right;
register int xorresult;
/* Create local copies of the numbers */
left = *leftptr;
right = *rightptr;
/*
* Test for NaN
*/
if( (Sgl_exponent(left) == SGL_INFINITY_EXPONENT)
|| (Sgl_exponent(right) == SGL_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( ( (Sgl_exponent(left) == SGL_INFINITY_EXPONENT)
&& Sgl_isnotzero_mantissa(left)
&& (Exception(cond) || Sgl_isone_signaling(left)))
||
( (Sgl_exponent(right) == SGL_INFINITY_EXPONENT)
&& Sgl_isnotzero_mantissa(right)
&& (Exception(cond) || Sgl_isone_signaling(right)) ) )
{
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( ((Sgl_exponent(left) == SGL_INFINITY_EXPONENT)
&& Sgl_isnotzero_mantissa(left))
||
((Sgl_exponent(right) == SGL_INFINITY_EXPONENT)
&& Sgl_isnotzero_mantissa(right)) )
{
/* 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 */
Sgl_xortointp1(left,right,xorresult);
if( xorresult < 0 )
{
/* left negative => less, left positive => greater.
* equal is possible if both operands are zeros. */
if( Sgl_iszero_exponentmantissa(left)
&& Sgl_iszero_exponentmantissa(right) )
{
Set_status_cbit(Equal(cond));
}
else if( Sgl_isone_sign(left) )
{
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( Sgl_all(left) == Sgl_all(right) )
{
Set_status_cbit(Equal(cond));
}
else if( Sgl_iszero_sign(left) )
{
/* Positive compare */
if( Sgl_all(left) < Sgl_all(right) )
{
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( Sgl_all(left) > Sgl_all(right) )
{
Set_status_cbit(Lessthan(cond));
}
else
{
Set_status_cbit(Greaterthan(cond));
}
}
return(NOEXCEPTION);
}
int
sgl_frem (sgl_floating_point * srcptr1, sgl_floating_point * srcptr2,
sgl_floating_point * dstptr, unsigned int *status)
{
register unsigned int opnd1, opnd2, result;
register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
register boolean roundup = FALSE;
opnd1 = *srcptr1;
opnd2 = *srcptr2;
if ((opnd1_exponent = Sgl_exponent(opnd1)) == SGL_INFINITY_EXPONENT) {
if (Sgl_iszero_mantissa(opnd1)) {
if (Sgl_isnotnan(opnd2)) {
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(result);
*dstptr = result;
return(NOEXCEPTION);
}
}
else {
if (Sgl_isone_signaling(opnd1)) {
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_set_quiet(opnd1);
}
else if (Sgl_is_signalingnan(opnd2)) {
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_set_quiet(opnd2);
*dstptr = opnd2;
return(NOEXCEPTION);
}
*dstptr = opnd1;
return(NOEXCEPTION);
}
}
if ((opnd2_exponent = Sgl_exponent(opnd2)) == SGL_INFINITY_EXPONENT) {
if (Sgl_iszero_mantissa(opnd2)) {
*dstptr = opnd1;
return(NOEXCEPTION);
}
if (Sgl_isone_signaling(opnd2)) {
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_set_quiet(opnd2);
}
*dstptr = opnd2;
return(NOEXCEPTION);
}
if (Sgl_iszero_exponentmantissa(opnd2)) {
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(result);
*dstptr = result;
return(NOEXCEPTION);
}
result = opnd1;
if (opnd1_exponent == 0) {
if (Sgl_iszero_mantissa(opnd1)) {
*dstptr = opnd1;
return(NOEXCEPTION);
}
opnd1_exponent = 1;
Sgl_normalize(opnd1,opnd1_exponent);
}
else {
Sgl_clear_signexponent_set_hidden(opnd1);
}
if (opnd2_exponent == 0) {
opnd2_exponent = 1;
Sgl_normalize(opnd2,opnd2_exponent);
}
else {
Sgl_clear_signexponent_set_hidden(opnd2);
}
dest_exponent = opnd2_exponent - 1;
stepcount = opnd1_exponent - opnd2_exponent;
if (stepcount < 0) {
if (stepcount == -1 && Sgl_isgreaterthan(opnd1,opnd2)) {
Sgl_all(result) = ~Sgl_all(result);
Sgl_leftshiftby1(opnd2);
Sgl_subtract(opnd2,opnd1,opnd2);
while (Sgl_iszero_hidden(opnd2)) {
Sgl_leftshiftby1(opnd2);
dest_exponent--;
}
Sgl_set_exponentmantissa(result,opnd2);
goto testforunderflow;
}
Sgl_set_exponentmantissa(result,opnd1);
dest_exponent = opnd1_exponent;
goto testforunderflow;
}
while (stepcount-- > 0 && Sgl_all(opnd1)) {
if (Sgl_isnotlessthan(opnd1,opnd2))
Sgl_subtract(opnd1,opnd2,opnd1);
Sgl_leftshiftby1(opnd1);
}
if (Sgl_isnotlessthan(opnd1,opnd2)) {
Sgl_subtract(opnd1,opnd2,opnd1);
roundup = TRUE;
}
if (stepcount > 0 || Sgl_iszero(opnd1)) {
Sgl_setzero_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
Sgl_leftshiftby1(opnd1);
if (Sgl_isgreaterthan(opnd1,opnd2)) {
Sgl_invert_sign(result);
Sgl_subtract((opnd2<<1),opnd1,opnd1);
}
else if (Sgl_isequal(opnd1,opnd2) && roundup) {
Sgl_invert_sign(result);
}
while (Sgl_iszero_hidden(opnd1)) {
dest_exponent--;
Sgl_leftshiftby1(opnd1);
}
Sgl_set_exponentmantissa(result,opnd1);
testforunderflow:
if (dest_exponent <= 0) {
if (Is_underflowtrap_enabled()) {
Sgl_setwrapped_exponent(result,dest_exponent,unfl);
*dstptr = result;
return(UNDERFLOWEXCEPTION);
}
if (dest_exponent >= (1 - SGL_P)) {
Sgl_rightshift_exponentmantissa(result,1-dest_exponent);
}
else {
Sgl_setzero_exponentmantissa(result);
}
}
else Sgl_set_exponent(result,dest_exponent);
*dstptr = result;
return(NOEXCEPTION);
}
int
sgl_fdiv (sgl_floating_point * srcptr1, sgl_floating_point * srcptr2,
sgl_floating_point * dstptr, unsigned int *status)
{
register unsigned int opnd1, opnd2, opnd3, result;
register int dest_exponent, count;
register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE;
boolean is_tiny;
opnd1 = *srcptr1;
opnd2 = *srcptr2;
/*
* set sign bit of result
*/
if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result);
else Sgl_setzero(result);
/*
* check first operand for NaN's or infinity
*/
if (Sgl_isinfinity_exponent(opnd1)) {
if (Sgl_iszero_mantissa(opnd1)) {
if (Sgl_isnotnan(opnd2)) {
if (Sgl_isinfinity(opnd2)) {
/*
* invalid since both operands
* are infinity
*/
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(result);
*dstptr = result;
return(NOEXCEPTION);
}
/*
* return infinity
*/
Sgl_setinfinity_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
}
else {
/*
* is NaN; signaling or quiet?
*/
if (Sgl_isone_signaling(opnd1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd1);
}
/*
* is second operand a signaling NaN?
*/
else if (Sgl_is_signalingnan(opnd2)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd2);
*dstptr = opnd2;
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
*dstptr = opnd1;
return(NOEXCEPTION);
}
}
/*
* check second operand for NaN's or infinity
*/
if (Sgl_isinfinity_exponent(opnd2)) {
if (Sgl_iszero_mantissa(opnd2)) {
/*
* return zero
*/
Sgl_setzero_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Sgl_isone_signaling(opnd2)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(opnd2);
}
/*
* return quiet NaN
*/
*dstptr = opnd2;
return(NOEXCEPTION);
}
/*
* check for division by zero
*/
if (Sgl_iszero_exponentmantissa(opnd2)) {
if (Sgl_iszero_exponentmantissa(opnd1)) {
/* invalid since both operands are zero */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Sgl_makequietnan(result);
*dstptr = result;
return(NOEXCEPTION);
}
if (Is_divisionbyzerotrap_enabled())
return(DIVISIONBYZEROEXCEPTION);
Set_divisionbyzeroflag();
Sgl_setinfinity_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
/*
* Generate exponent
*/
dest_exponent = Sgl_exponent(opnd1) - Sgl_exponent(opnd2) + SGL_BIAS;
/*
* Generate mantissa
*/
if (Sgl_isnotzero_exponent(opnd1)) {
/* set hidden bit */
Sgl_clear_signexponent_set_hidden(opnd1);
}
else {
/* check for zero */
if (Sgl_iszero_mantissa(opnd1)) {
Sgl_setzero_exponentmantissa(result);
*dstptr = result;
return(NOEXCEPTION);
}
/* is denormalized; want to normalize */
Sgl_clear_signexponent(opnd1);
Sgl_leftshiftby1(opnd1);
Sgl_normalize(opnd1,dest_exponent);
}
/* opnd2 needs to have hidden bit set with msb in hidden bit */
if (Sgl_isnotzero_exponent(opnd2)) {
Sgl_clear_signexponent_set_hidden(opnd2);
}
else {
/* is denormalized; want to normalize */
Sgl_clear_signexponent(opnd2);
Sgl_leftshiftby1(opnd2);
while(Sgl_iszero_hiddenhigh7mantissa(opnd2)) {
Sgl_leftshiftby8(opnd2);
dest_exponent += 8;
}
if(Sgl_iszero_hiddenhigh3mantissa(opnd2)) {
Sgl_leftshiftby4(opnd2);
dest_exponent += 4;
}
while(Sgl_iszero_hidden(opnd2)) {
Sgl_leftshiftby1(opnd2);
dest_exponent += 1;
}
}
/* Divide the source mantissas */
/*
* A non_restoring divide algorithm is used.
*/
Sgl_subtract(opnd1,opnd2,opnd1);
Sgl_setzero(opnd3);
for (count=1;count<=SGL_P && Sgl_all(opnd1);count++) {
Sgl_leftshiftby1(opnd1);
Sgl_leftshiftby1(opnd3);
if (Sgl_iszero_sign(opnd1)) {
Sgl_setone_lowmantissa(opnd3);
Sgl_subtract(opnd1,opnd2,opnd1);
}
else Sgl_addition(opnd1,opnd2,opnd1);
}
if (count <= SGL_P) {
Sgl_leftshiftby1(opnd3);
Sgl_setone_lowmantissa(opnd3);
Sgl_leftshift(opnd3,SGL_P-count);
if (Sgl_iszero_hidden(opnd3)) {
Sgl_leftshiftby1(opnd3);
dest_exponent--;
}
}
else {
if (Sgl_iszero_hidden(opnd3)) {
/* need to get one more bit of result */
Sgl_leftshiftby1(opnd1);
Sgl_leftshiftby1(opnd3);
if (Sgl_iszero_sign(opnd1)) {
Sgl_setone_lowmantissa(opnd3);
Sgl_subtract(opnd1,opnd2,opnd1);
}
else Sgl_addition(opnd1,opnd2,opnd1);
dest_exponent--;
}
if (Sgl_iszero_sign(opnd1)) guardbit = TRUE;
stickybit = Sgl_all(opnd1);
}
inexact = guardbit | stickybit;
/*
* round result
*/
if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) {
Sgl_clear_signexponent(opnd3);
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Sgl_iszero_sign(result))
Sgl_increment_mantissa(opnd3);
break;
case ROUNDMINUS:
if (Sgl_isone_sign(result))
Sgl_increment_mantissa(opnd3);
break;
case ROUNDNEAREST:
if (guardbit) {
if (stickybit || Sgl_isone_lowmantissa(opnd3))
Sgl_increment_mantissa(opnd3);
}
}
if (Sgl_isone_hidden(opnd3)) dest_exponent++;
}
Sgl_set_mantissa(result,opnd3);
/*
* Test for overflow
*/
if (dest_exponent >= SGL_INFINITY_EXPONENT) {
/* trap if OVERFLOWTRAP enabled */
if (Is_overflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Sgl_setwrapped_exponent(result,dest_exponent,ovfl);
*dstptr = result;
if (inexact)
if (Is_inexacttrap_enabled())
return(OVERFLOWEXCEPTION | INEXACTEXCEPTION);
else Set_inexactflag();
return(OVERFLOWEXCEPTION);
}
Set_overflowflag();
/* set result to infinity or largest number */
Sgl_setoverflow(result);
inexact = TRUE;
}
/*
* Test for underflow
*/
else if (dest_exponent <= 0) {
/* trap if UNDERFLOWTRAP enabled */
if (Is_underflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Sgl_setwrapped_exponent(result,dest_exponent,unfl);
*dstptr = result;
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 (Sgl_iszero_sign(result)) {
Sgl_increment(opnd3);
if (Sgl_isone_hiddenoverflow(opnd3))
is_tiny = FALSE;
Sgl_decrement(opnd3);
}
break;
case ROUNDMINUS:
if (Sgl_isone_sign(result)) {
Sgl_increment(opnd3);
if (Sgl_isone_hiddenoverflow(opnd3))
is_tiny = FALSE;
Sgl_decrement(opnd3);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Sgl_isone_lowmantissa(opnd3))) {
Sgl_increment(opnd3);
if (Sgl_isone_hiddenoverflow(opnd3))
is_tiny = FALSE;
Sgl_decrement(opnd3);
}
break;
}
}
/*
* denormalize result or set to signed zero
*/
stickybit = inexact;
Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact);
/* return rounded number */
if (inexact) {
switch (Rounding_mode()) {
case ROUNDPLUS:
if (Sgl_iszero_sign(result)) {
Sgl_increment(opnd3);
}
break;
case ROUNDMINUS:
if (Sgl_isone_sign(result)) {
Sgl_increment(opnd3);
}
break;
case ROUNDNEAREST:
if (guardbit && (stickybit ||
Sgl_isone_lowmantissa(opnd3))) {
Sgl_increment(opnd3);
}
break;
}
if (is_tiny) Set_underflowflag();
}
Sgl_set_exponentmantissa(result,opnd3);
}
else Sgl_set_exponent(result,dest_exponent);
*dstptr = result;
/* check for inexact */
if (inexact) {
if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION);
else Set_inexactflag();
}
return(NOEXCEPTION);
}
/*ARGSUSED*/
int
sgl_fsqrt(sgl_floating_point *srcptr, sgl_floating_point *dstptr,
unsigned int *status)
{
register unsigned int src, result;
register int src_exponent, newbit, sum;
register int guardbit = false, even_exponent;
src = *srcptr;
/*
* check source operand for NaN or infinity
*/
if ((src_exponent = Sgl_exponent(src)) == SGL_INFINITY_EXPONENT) {
/*
* is signaling NaN?
*/
if (Sgl_isone_signaling(src)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_set_quiet(src);
}
/*
* Return quiet NaN or positive infinity.
* Fall thru to negative test if negative infinity.
*/
if (Sgl_iszero_sign(src) || Sgl_isnotzero_mantissa(src)) {
*dstptr = src;
return(NOEXCEPTION);
}
}
/*
* check for zero source operand
*/
if (Sgl_iszero_exponentmantissa(src)) {
*dstptr = src;
return(NOEXCEPTION);
}
/*
* check for negative source operand
*/
if (Sgl_isone_sign(src)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Sgl_makequietnan(src);
*dstptr = src;
return(NOEXCEPTION);
}
/*
* Generate result
*/
if (src_exponent > 0) {
even_exponent = Sgl_hidden(src);
Sgl_clear_signexponent_set_hidden(src);
}
else {
/* normalize operand */
Sgl_clear_signexponent(src);
src_exponent++;
Sgl_normalize(src,src_exponent);
even_exponent = src_exponent & 1;
}
if (even_exponent) {
/* exponent is even */
/* Add comment here. Explain why odd exponent needs correction */
Sgl_leftshiftby1(src);
}
/*
* Add comment here. Explain following algorithm.
*
* Trust me, it works.
*
*/
Sgl_setzero(result);
newbit = 1 << SGL_P;
while (newbit && Sgl_isnotzero(src)) {
Sgl_addition(result,newbit,sum);
if(sum <= Sgl_all(src)) {
/* update result */
Sgl_addition(result,(newbit<<1),result);
Sgl_subtract(src,sum,src);
}
Sgl_rightshiftby1(newbit);
Sgl_leftshiftby1(src);
}
/* correct exponent for pre-shift */
if (even_exponent) {
Sgl_rightshiftby1(result);
}
/* check for inexact */
if (Sgl_isnotzero(src)) {
if (!even_exponent & Sgl_islessthan(result,src))
Sgl_increment(result);
guardbit = Sgl_lowmantissa(result);
Sgl_rightshiftby1(result);
/* now round result */
switch (Rounding_mode()) {
case ROUNDPLUS:
Sgl_increment(result);
break;
case ROUNDNEAREST:
/* stickybit is always true, so guardbit
* is enough to determine rounding */
if (guardbit) {
Sgl_increment(result);
}
break;
}
/* increment result exponent by 1 if mantissa overflowed */
if (Sgl_isone_hiddenoverflow(result)) src_exponent+=2;
if (Is_inexacttrap_enabled()) {
Sgl_set_exponent(result,
((src_exponent-SGL_BIAS)>>1)+SGL_BIAS);
*dstptr = result;
return(INEXACTEXCEPTION);
}
else Set_inexactflag();
}