382 lines
11 KiB
C
382 lines
11 KiB
C
|
// SPDX-License-Identifier: GPL-2.0-or-later
|
||
|
/*
|
||
|
* Linux/PA-RISC Project (http://www.parisc-linux.org/)
|
||
|
*
|
||
|
* Floating-point emulation code
|
||
|
* Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org>
|
||
|
*/
|
||
|
/*
|
||
|
* BEGIN_DESC
|
||
|
*
|
||
|
* File:
|
||
|
* @(#) pa/spmath/dfmpy.c $Revision: 1.1 $
|
||
|
*
|
||
|
* Purpose:
|
||
|
* Double Precision Floating-point Multiply
|
||
|
*
|
||
|
* External Interfaces:
|
||
|
* dbl_fmpy(srcptr1,srcptr2,dstptr,status)
|
||
|
*
|
||
|
* Internal Interfaces:
|
||
|
*
|
||
|
* Theory:
|
||
|
* <<please update with a overview of the operation of this file>>
|
||
|
*
|
||
|
* END_DESC
|
||
|
*/
|
||
|
|
||
|
|
||
|
#include "float.h"
|
||
|
#include "dbl_float.h"
|
||
|
|
||
|
/*
|
||
|
* Double Precision Floating-point Multiply
|
||
|
*/
|
||
|
|
||
|
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);
|
||
|
}
|