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/* IEEE754 floating point arithmetic
* single precision
*/
/*
* 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 . ,
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* 51 Franklin St , Fifth Floor , Boston , MA 02110 - 1301 USA .
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*/
# include "ieee754sp.h"
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union ieee754sp ieee754sp_div ( union ieee754sp x , union ieee754sp y )
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{
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unsigned rm ;
int re ;
unsigned bm ;
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COMPXSP ;
COMPYSP ;
EXPLODEXSP ;
EXPLODEYSP ;
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ieee754_clearcx ( ) ;
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FLUSHXSP ;
FLUSHYSP ;
switch ( CLPAIR ( xc , yc ) ) {
case CLPAIR ( IEEE754_CLASS_QNAN , 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 ) :
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return ieee754sp_nanxcpt ( y ) ;
case CLPAIR ( IEEE754_CLASS_SNAN , IEEE754_CLASS_SNAN ) :
case CLPAIR ( IEEE754_CLASS_SNAN , IEEE754_CLASS_QNAN ) :
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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 ) :
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return ieee754sp_nanxcpt ( x ) ;
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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 ;
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/*
* Infinity handling
*/
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case CLPAIR ( IEEE754_CLASS_INF , IEEE754_CLASS_INF ) :
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ieee754_setcx ( IEEE754_INVALID_OPERATION ) ;
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return ieee754sp_indef ( ) ;
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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 ieee754sp_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 ieee754sp_inf ( xs ^ ys ) ;
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/*
* Zero handling
*/
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case CLPAIR ( IEEE754_CLASS_ZERO , IEEE754_CLASS_ZERO ) :
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ieee754_setcx ( IEEE754_INVALID_OPERATION ) ;
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return ieee754sp_indef ( ) ;
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case CLPAIR ( IEEE754_CLASS_NORM , IEEE754_CLASS_ZERO ) :
case CLPAIR ( IEEE754_CLASS_DNORM , IEEE754_CLASS_ZERO ) :
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ieee754_setcx ( IEEE754_ZERO_DIVIDE ) ;
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return ieee754sp_inf ( xs ^ ys ) ;
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case CLPAIR ( IEEE754_CLASS_ZERO , IEEE754_CLASS_NORM ) :
case CLPAIR ( IEEE754_CLASS_ZERO , IEEE754_CLASS_DNORM ) :
return ieee754sp_zero ( xs = = ys ? 0 : 1 ) ;
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 rounding space */
xm < < = 3 ;
ym < < = 3 ;
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/* now the dirty work */
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rm = 0 ;
re = xe - ye ;
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for ( bm = SP_MBIT ( SP_FBITS + 2 ) ; bm ; bm > > = 1 ) {
if ( xm > = ym ) {
xm - = ym ;
rm | = bm ;
if ( xm = = 0 )
break ;
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}
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xm < < = 1 ;
}
rm < < = 1 ;
if ( xm )
rm | = 1 ; /* have remainder, set sticky */
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assert ( rm ) ;
/* normalise rm to rounding precision ?
*/
while ( ( rm > > ( SP_FBITS + 3 ) ) = = 0 ) {
rm < < = 1 ;
re - - ;
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}
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return ieee754sp_format ( xs = = ys ? 0 : 1 , re , rm ) ;
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}