178 lines
4.5 KiB
C
178 lines
4.5 KiB
C
|
/* IEEE754 floating point arithmetic
|
||
|
* single precision
|
||
|
*/
|
||
|
/*
|
||
|
* MIPS floating point support
|
||
|
* Copyright (C) 1994-2000 Algorithmics Ltd.
|
||
|
* http://www.algor.co.uk
|
||
|
*
|
||
|
* ########################################################################
|
||
|
*
|
||
|
* 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.,
|
||
|
* 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
|
||
|
*
|
||
|
* ########################################################################
|
||
|
*/
|
||
|
|
||
|
|
||
|
#include "ieee754sp.h"
|
||
|
|
||
|
ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y)
|
||
|
{
|
||
|
COMPXSP;
|
||
|
COMPYSP;
|
||
|
|
||
|
EXPLODEXSP;
|
||
|
EXPLODEYSP;
|
||
|
|
||
|
CLEARCX;
|
||
|
|
||
|
FLUSHXSP;
|
||
|
FLUSHYSP;
|
||
|
|
||
|
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):
|
||
|
SETCX(IEEE754_INVALID_OPERATION);
|
||
|
return ieee754sp_nanxcpt(ieee754sp_indef(), "add", x, y);
|
||
|
|
||
|
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;
|
||
|
|
||
|
|
||
|
/* Infinity handling
|
||
|
*/
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
|
||
|
if (xs == ys)
|
||
|
return x;
|
||
|
SETCX(IEEE754_INVALID_OPERATION);
|
||
|
return ieee754sp_xcpt(ieee754sp_indef(), "add", x, y);
|
||
|
|
||
|
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 y;
|
||
|
|
||
|
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 x;
|
||
|
|
||
|
/* Zero handling
|
||
|
*/
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
|
||
|
if (xs == ys)
|
||
|
return x;
|
||
|
else
|
||
|
return ieee754sp_zero(ieee754_csr.rm ==
|
||
|
IEEE754_RD);
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
|
||
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
|
||
|
return x;
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
|
||
|
case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
|
||
|
return y;
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
|
||
|
SPDNORMX;
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
|
||
|
SPDNORMY;
|
||
|
break;
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
|
||
|
SPDNORMX;
|
||
|
break;
|
||
|
|
||
|
case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
|
||
|
break;
|
||
|
}
|
||
|
assert(xm & SP_HIDDEN_BIT);
|
||
|
assert(ym & SP_HIDDEN_BIT);
|
||
|
|
||
|
/* provide guard,round and stick bit space */
|
||
|
xm <<= 3;
|
||
|
ym <<= 3;
|
||
|
|
||
|
if (xe > ye) {
|
||
|
/* have to shift y fraction right to align
|
||
|
*/
|
||
|
int s = xe - ye;
|
||
|
SPXSRSYn(s);
|
||
|
} else if (ye > xe) {
|
||
|
/* have to shift x fraction right to align
|
||
|
*/
|
||
|
int s = ye - xe;
|
||
|
SPXSRSXn(s);
|
||
|
}
|
||
|
assert(xe == ye);
|
||
|
assert(xe <= SP_EMAX);
|
||
|
|
||
|
if (xs == ys) {
|
||
|
/* generate 28 bit result of adding two 27 bit numbers
|
||
|
* leaving result in xm,xs,xe
|
||
|
*/
|
||
|
xm = xm + ym;
|
||
|
xe = xe;
|
||
|
xs = xs;
|
||
|
|
||
|
if (xm >> (SP_MBITS + 1 + 3)) { /* carry out */
|
||
|
SPXSRSX1();
|
||
|
}
|
||
|
} else {
|
||
|
if (xm >= ym) {
|
||
|
xm = xm - ym;
|
||
|
xe = xe;
|
||
|
xs = xs;
|
||
|
} else {
|
||
|
xm = ym - xm;
|
||
|
xe = xe;
|
||
|
xs = ys;
|
||
|
}
|
||
|
if (xm == 0)
|
||
|
return ieee754sp_zero(ieee754_csr.rm ==
|
||
|
IEEE754_RD);
|
||
|
|
||
|
/* normalize in extended single precision */
|
||
|
while ((xm >> (SP_MBITS + 3)) == 0) {
|
||
|
xm <<= 1;
|
||
|
xe--;
|
||
|
}
|
||
|
|
||
|
}
|
||
|
SPNORMRET2(xs, xe, xm, "add", x, y);
|
||
|
}
|