2005-04-17 05:20:36 +07:00
|
|
|
/* IEEE754 floating point arithmetic
|
|
|
|
* double precision: common utilities
|
|
|
|
*/
|
|
|
|
/*
|
|
|
|
* MIPS floating point support
|
|
|
|
* Copyright (C) 1994-2000 Algorithmics Ltd.
|
|
|
|
*
|
|
|
|
* This program is free software; you can distribute it and/or modify it
|
|
|
|
* under the terms of the GNU General Public License (Version 2) as
|
|
|
|
* published by the Free Software Foundation.
|
|
|
|
*
|
|
|
|
* This program is distributed in the hope it will be useful, but WITHOUT
|
|
|
|
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
|
|
|
|
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
|
|
|
|
* for more details.
|
|
|
|
*
|
|
|
|
* You should have received a copy of the GNU General Public License along
|
|
|
|
* with this program; if not, write to the Free Software Foundation, Inc.,
|
2014-04-26 06:49:14 +07:00
|
|
|
* 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
|
2005-04-17 05:20:36 +07:00
|
|
|
*/
|
|
|
|
|
|
|
|
#include "ieee754dp.h"
|
|
|
|
|
2014-04-16 06:31:11 +07:00
|
|
|
union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y)
|
2005-04-17 05:20:36 +07:00
|
|
|
{
|
2014-04-26 06:49:14 +07:00
|
|
|
u64 rm;
|
|
|
|
int re;
|
|
|
|
u64 bm;
|
|
|
|
|
2005-04-17 05:20:36 +07:00
|
|
|
COMPXDP;
|
|
|
|
COMPYDP;
|
|
|
|
|
|
|
|
EXPLODEXDP;
|
|
|
|
EXPLODEYDP;
|
|
|
|
|
2014-04-19 05:36:32 +07:00
|
|
|
ieee754_clearcx();
|
2005-04-17 05:20:36 +07:00
|
|
|
|
|
|
|
FLUSHXDP;
|
|
|
|
FLUSHYDP;
|
|
|
|
|
|
|
|
switch (CLPAIR(xc, yc)) {
|
|
|
|
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
|
|
|
|
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
|
|
|
|
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
|
|
|
|
case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
|
2014-04-19 05:36:32 +07:00
|
|
|
ieee754_setcx(IEEE754_INVALID_OPERATION);
|
2014-04-25 08:19:57 +07:00
|
|
|
return ieee754dp_nanxcpt(ieee754dp_indef());
|
2005-04-17 05:20:36 +07:00
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
|
|
|
|
return y;
|
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
|
|
|
|
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
|
|
|
|
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
|
|
|
|
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
|
|
|
|
case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
|
|
|
|
return x;
|
|
|
|
|
|
|
|
|
2014-04-26 06:49:14 +07:00
|
|
|
/*
|
|
|
|
* Infinity handling
|
|
|
|
*/
|
2005-04-17 05:20:36 +07:00
|
|
|
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
|
2014-04-19 05:36:32 +07:00
|
|
|
ieee754_setcx(IEEE754_INVALID_OPERATION);
|
2014-04-25 08:19:57 +07:00
|
|
|
return ieee754dp_indef();
|
2005-04-17 05:20:36 +07:00
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
|
|
|
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
|
|
|
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
|
|
|
|
return ieee754dp_zero(xs ^ ys);
|
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
|
|
|
|
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
|
|
|
|
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
|
|
|
|
return ieee754dp_inf(xs ^ ys);
|
|
|
|
|
2014-04-26 06:49:14 +07:00
|
|
|
/*
|
|
|
|
* Zero handling
|
|
|
|
*/
|
2005-04-17 05:20:36 +07:00
|
|
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
|
2014-04-19 05:36:32 +07:00
|
|
|
ieee754_setcx(IEEE754_INVALID_OPERATION);
|
2014-04-25 08:19:57 +07:00
|
|
|
return ieee754dp_indef();
|
2005-04-17 05:20:36 +07:00
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
|
|
|
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
|
2014-04-19 05:36:32 +07:00
|
|
|
ieee754_setcx(IEEE754_ZERO_DIVIDE);
|
2014-04-25 08:19:57 +07:00
|
|
|
return ieee754dp_inf(xs ^ ys);
|
2005-04-17 05:20:36 +07:00
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
|
|
|
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
|
|
|
|
return ieee754dp_zero(xs == ys ? 0 : 1);
|
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
|
|
|
|
DPDNORMX;
|
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
|
|
|
|
DPDNORMY;
|
|
|
|
break;
|
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
|
|
|
|
DPDNORMX;
|
|
|
|
break;
|
|
|
|
|
|
|
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
|
|
|
|
break;
|
|
|
|
}
|
|
|
|
assert(xm & DP_HIDDEN_BIT);
|
|
|
|
assert(ym & DP_HIDDEN_BIT);
|
|
|
|
|
|
|
|
/* provide rounding space */
|
|
|
|
xm <<= 3;
|
|
|
|
ym <<= 3;
|
|
|
|
|
2014-04-26 06:49:14 +07:00
|
|
|
/* now the dirty work */
|
2005-04-17 05:20:36 +07:00
|
|
|
|
2014-04-26 06:49:14 +07:00
|
|
|
rm = 0;
|
|
|
|
re = xe - ye;
|
2005-04-17 05:20:36 +07:00
|
|
|
|
2014-04-26 06:49:14 +07:00
|
|
|
for (bm = DP_MBIT(DP_FBITS + 2); bm; bm >>= 1) {
|
|
|
|
if (xm >= ym) {
|
|
|
|
xm -= ym;
|
|
|
|
rm |= bm;
|
|
|
|
if (xm == 0)
|
|
|
|
break;
|
2005-04-17 05:20:36 +07:00
|
|
|
}
|
2014-04-26 06:49:14 +07:00
|
|
|
xm <<= 1;
|
|
|
|
}
|
|
|
|
|
|
|
|
rm <<= 1;
|
|
|
|
if (xm)
|
|
|
|
rm |= 1; /* have remainder, set sticky */
|
2005-04-17 05:20:36 +07:00
|
|
|
|
2014-04-26 06:49:14 +07:00
|
|
|
assert(rm);
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Normalise rm to rounding precision ?
|
|
|
|
*/
|
|
|
|
while ((rm >> (DP_FBITS + 3)) == 0) {
|
|
|
|
rm <<= 1;
|
|
|
|
re--;
|
2005-04-17 05:20:36 +07:00
|
|
|
}
|
2014-04-26 06:49:14 +07:00
|
|
|
|
|
|
|
return ieee754dp_format(xs == ys ? 0 : 1, re, rm);
|
2005-04-17 05:20:36 +07:00
|
|
|
}
|