1 /* IEEE754 floating point arithmetic
2 * double precision: common utilities
5 * MIPS floating point support
6 * Copyright (C) 1994-2000 Algorithmics Ltd.
7 * http://www.algor.co.uk
9 * ########################################################################
11 * This program is free software; you can distribute it and/or modify it
12 * under the terms of the GNU General Public License (Version 2) as
13 * published by the Free Software Foundation.
15 * This program is distributed in the hope it will be useful, but WITHOUT
16 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
17 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
20 * You should have received a copy of the GNU General Public License along
21 * with this program; if not, write to the Free Software Foundation, Inc.,
22 * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
24 * ########################################################################
29 #include "ieee754dp.h"
31 ieee754dp
ieee754dp_add(ieee754dp x
, ieee754dp y
)
44 switch (CLPAIR(xc
, yc
)) {
45 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_QNAN
):
46 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_SNAN
):
47 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_SNAN
):
48 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_SNAN
):
49 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_SNAN
):
50 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_SNAN
):
51 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_SNAN
):
52 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_ZERO
):
53 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_NORM
):
54 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_DNORM
):
55 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_INF
):
56 SETCX(IEEE754_INVALID_OPERATION
);
57 return ieee754dp_nanxcpt(ieee754dp_indef(), "add", x
, y
);
59 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_QNAN
):
60 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_QNAN
):
61 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_QNAN
):
62 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_QNAN
):
65 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_QNAN
):
66 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_ZERO
):
67 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_NORM
):
68 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_DNORM
):
69 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_INF
):
76 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_INF
):
79 SETCX(IEEE754_INVALID_OPERATION
);
80 return ieee754dp_xcpt(ieee754dp_indef(), "add", x
, y
);
82 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_INF
):
83 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_INF
):
84 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_INF
):
87 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_ZERO
):
88 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_NORM
):
89 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_DNORM
):
95 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_ZERO
):
99 return ieee754dp_zero(ieee754_csr
.rm
==
102 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_ZERO
):
103 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_ZERO
):
106 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_NORM
):
107 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_DNORM
):
110 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_DNORM
):
115 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_DNORM
):
119 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_NORM
):
123 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_NORM
):
126 assert(xm
& DP_HIDDEN_BIT
);
127 assert(ym
& DP_HIDDEN_BIT
);
129 /* provide guard,round and stick bit space */
134 /* have to shift y fraction right to align
139 } else if (ye
> xe
) {
140 /* have to shift x fraction right to align
147 assert(xe
<= DP_EMAX
);
150 /* generate 28 bit result of adding two 27 bit numbers
151 * leaving result in xm,xs,xe
157 if (xm
>> (DP_MBITS
+ 1 + 3)) { /* carry out */
172 return ieee754dp_zero(ieee754_csr
.rm
==
175 /* normalize to rounding precision */
176 while ((xm
>> (DP_MBITS
+ 3)) == 0) {
182 DPNORMRET2(xs
, xe
, xm
, "add", x
, y
);