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);