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_mul(union ieee754dp x, union ieee754dp y)
49 switch (CLPAIR(xc, yc)) {
50 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
51 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
52 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
53 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
54 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
55 return ieee754dp_nanxcpt(y);
57 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
58 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
59 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
60 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
61 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
62 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
63 return ieee754dp_nanxcpt(x);
65 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
66 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
67 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
68 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
71 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
72 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
73 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
74 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
75 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
82 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
83 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
84 ieee754_setcx(IEEE754_INVALID_OPERATION);
85 return ieee754dp_indef();
87 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
88 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
89 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
90 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
91 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
92 return ieee754dp_inf(xs ^ ys);
94 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
95 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
96 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
97 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
98 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
99 return ieee754dp_zero(xs ^ ys);
102 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
105 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
109 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
113 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
116 /* rm = xm * ym, re = xe+ye basically */
117 assert(xm & DP_HIDDEN_BIT);
118 assert(ym & DP_HIDDEN_BIT);
123 /* shunt to top of word */
124 xm <<= 64 - (DP_FBITS + 1);
125 ym <<= 64 - (DP_FBITS + 1);
128 * Multiply 64 bits xm, ym to give high 64 bits rm with stickness.
132 #define DPXMULT(x, y) ((u64)(x) * (u64)y)
139 lrm = DPXMULT(lxm, lym);
140 hrm = DPXMULT(hxm, hym);
142 t = DPXMULT(lxm, hym);
144 at = lrm + (t << 32);
148 hrm = hrm + (t >> 32);
150 t = DPXMULT(hxm, lym);
152 at = lrm + (t << 32);
156 hrm = hrm + (t >> 32);
158 rm = hrm | (lrm != 0);
161 * Sticky shift down to normal rounding precision.
164 rm = (rm >> (64 - (DP_FBITS + 1 + 3))) |
165 ((rm << (DP_FBITS + 1 + 3)) != 0);
168 rm = (rm >> (64 - (DP_FBITS + 1 + 3 + 1))) |
169 ((rm << (DP_FBITS + 1 + 3 + 1)) != 0);
171 assert(rm & (DP_HIDDEN_BIT << 3));
173 return ieee754dp_format(rs, re, rm);