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 * ########################################################################
28 #include "ieee754dp.h"
30 ieee754dp ieee754dp_mul(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(), "mul", 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):
72 /* Infinity handling */
74 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
75 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
76 SETCX(IEEE754_INVALID_OPERATION);
77 return ieee754dp_xcpt(ieee754dp_indef(), "mul", x, y);
79 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
80 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
81 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
82 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
83 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
84 return ieee754dp_inf(xs ^ ys);
86 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
87 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
88 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
89 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
90 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
91 return ieee754dp_zero(xs ^ ys);
94 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
97 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
101 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
105 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
108 /* rm = xm * ym, re = xe+ye basicly */
109 assert(xm & DP_HIDDEN_BIT);
110 assert(ym & DP_HIDDEN_BIT);
116 /* shunt to top of word */
117 xm <<= 64 - (DP_MBITS + 1);
118 ym <<= 64 - (DP_MBITS + 1);
120 /* multiply 32bits xm,ym to give high 32bits rm with stickness
124 #define DPXMULT(x, y) ((u64)(x) * (u64)y)
128 unsigned hxm = xm >> 32;
130 unsigned hym = ym >> 32;
134 lrm = DPXMULT(lxm, lym);
135 hrm = DPXMULT(hxm, hym);
138 u64 t = DPXMULT(lxm, hym);
145 hrm = hrm + (t >> 32);
149 u64 t = DPXMULT(hxm, lym);
156 hrm = hrm + (t >> 32);
158 rm = hrm | (lrm != 0);
162 * sticky shift down to normal rounding precision
166 (rm >> (64 - (DP_MBITS + 1 + 3))) |
167 ((rm << (DP_MBITS + 1 + 3)) != 0);
171 (rm >> (64 - (DP_MBITS + 1 + 3 + 1))) |
172 ((rm << (DP_MBITS + 1 + 3 + 1)) != 0);
174 assert(rm & (DP_HIDDEN_BIT << 3));
175 DPNORMRET2(rs, re, rm, "mul", x, y);