1 /* IEEE754 floating point arithmetic
2 * double precision: common utilities
5 * MIPS floating point support
6 * Copyright (C) 1994-2000 Algorithmics Ltd.
8 * This program is free software; you can distribute it and/or modify it
9 * under the terms of the GNU General Public License (Version 2) as
10 * published by the Free Software Foundation.
12 * This program is distributed in the hope it will be useful, but WITHOUT
13 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
14 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
17 * You should have received a copy of the GNU General Public License along
18 * with this program; if not, write to the Free Software Foundation, Inc.,
19 * 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
22 #include "ieee754dp.h"
24 union ieee754dp
ieee754dp_div(union ieee754dp x
, union ieee754dp y
)
41 switch (CLPAIR(xc
, yc
)) {
42 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_SNAN
):
43 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_SNAN
):
44 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_SNAN
):
45 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_SNAN
):
46 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_SNAN
):
47 return ieee754dp_nanxcpt(y
);
49 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_SNAN
):
50 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_QNAN
):
51 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_ZERO
):
52 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_NORM
):
53 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_DNORM
):
54 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_INF
):
55 return ieee754dp_nanxcpt(x
);
57 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_QNAN
):
58 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_QNAN
):
59 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_QNAN
):
60 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_QNAN
):
63 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_QNAN
):
64 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_ZERO
):
65 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_NORM
):
66 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_DNORM
):
67 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_INF
):
74 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_INF
):
75 ieee754_setcx(IEEE754_INVALID_OPERATION
);
76 return ieee754dp_indef();
78 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_INF
):
79 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_INF
):
80 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_INF
):
81 return ieee754dp_zero(xs
^ ys
);
83 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_ZERO
):
84 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_NORM
):
85 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_DNORM
):
86 return ieee754dp_inf(xs
^ ys
);
91 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_ZERO
):
92 ieee754_setcx(IEEE754_INVALID_OPERATION
);
93 return ieee754dp_indef();
95 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_ZERO
):
96 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_ZERO
):
97 ieee754_setcx(IEEE754_ZERO_DIVIDE
);
98 return ieee754dp_inf(xs
^ ys
);
100 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_NORM
):
101 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_DNORM
):
102 return ieee754dp_zero(xs
== ys
? 0 : 1);
104 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_DNORM
):
108 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_DNORM
):
112 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_NORM
):
116 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_NORM
):
119 assert(xm
& DP_HIDDEN_BIT
);
120 assert(ym
& DP_HIDDEN_BIT
);
122 /* provide rounding space */
126 /* now the dirty work */
131 for (bm
= DP_MBIT(DP_FBITS
+ 2); bm
; bm
>>= 1) {
143 rm
|= 1; /* have remainder, set sticky */
148 * Normalise rm to rounding precision ?
150 while ((rm
>> (DP_FBITS
+ 3)) == 0) {
155 return ieee754dp_format(xs
== ys
? 0 : 1, re
, rm
);