1 /* IEEE754 floating point arithmetic
2 * double precision: common utilities
5 * MIPS floating point support
6 * Copyright (C) 1994-2000 Algorithmics Ltd.
8 * ########################################################################
10 * This program is free software; you can distribute it and/or modify it
11 * under the terms of the GNU General Public License (Version 2) as
12 * published by the Free Software Foundation.
14 * This program is distributed in the hope it will be useful, but WITHOUT
15 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
16 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
19 * You should have received a copy of the GNU General Public License along
20 * with this program; if not, write to the Free Software Foundation, Inc.,
21 * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
23 * ########################################################################
28 #include "ieee754dp.h"
30 ieee754dp
ieee754dp_add(ieee754dp x
, ieee754dp y
)
43 switch (CLPAIR(xc
, yc
)) {
44 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_QNAN
):
45 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_SNAN
):
46 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_SNAN
):
47 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_SNAN
):
48 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_SNAN
):
49 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_SNAN
):
50 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_SNAN
):
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 SETCX(IEEE754_INVALID_OPERATION
);
56 return ieee754dp_nanxcpt(ieee754dp_indef(), "add", x
, y
);
58 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_QNAN
):
59 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_QNAN
):
60 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_QNAN
):
61 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_QNAN
):
64 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_QNAN
):
65 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_ZERO
):
66 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_NORM
):
67 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_DNORM
):
68 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_INF
):
75 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_INF
):
78 SETCX(IEEE754_INVALID_OPERATION
);
79 return ieee754dp_xcpt(ieee754dp_indef(), "add", x
, y
);
81 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_INF
):
82 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_INF
):
83 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_INF
):
86 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_ZERO
):
87 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_NORM
):
88 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_DNORM
):
94 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_ZERO
):
98 return ieee754dp_zero(ieee754_csr
.rm
==
101 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_ZERO
):
102 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_ZERO
):
105 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_NORM
):
106 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_DNORM
):
109 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_DNORM
):
114 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_DNORM
):
118 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_NORM
):
122 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_NORM
):
125 assert(xm
& DP_HIDDEN_BIT
);
126 assert(ym
& DP_HIDDEN_BIT
);
128 /* provide guard,round and stick bit space */
133 /* have to shift y fraction right to align
138 } else if (ye
> xe
) {
139 /* have to shift x fraction right to align
146 assert(xe
<= DP_EMAX
);
149 /* generate 28 bit result of adding two 27 bit numbers
150 * leaving result in xm,xs,xe
156 if (xm
>> (DP_MBITS
+ 1 + 3)) { /* carry out */
171 return ieee754dp_zero(ieee754_csr
.rm
==
174 /* normalize to rounding precision */
175 while ((xm
>> (DP_MBITS
+ 3)) == 0) {
181 DPNORMRET2(xs
, xe
, xm
, "add", x
, y
);