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Linus Torvalds1da177e2005-04-16 15:20:36 -07001/* IEEE754 floating point arithmetic
2 * double precision: common utilities
3 */
4/*
5 * MIPS floating point support
6 * Copyright (C) 1994-2000 Algorithmics Ltd.
Linus Torvalds1da177e2005-04-16 15:20:36 -07007 *
Linus Torvalds1da177e2005-04-16 15:20:36 -07008 * 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.
11 *
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
15 * for more details.
16 *
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.,
Ralf Baechle3f7cac42014-04-26 01:49:14 +020019 * 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
Linus Torvalds1da177e2005-04-16 15:20:36 -070020 */
21
Linus Torvalds1da177e2005-04-16 15:20:36 -070022#include "ieee754dp.h"
23
Ralf Baechle2209bcb2014-04-16 01:31:11 +020024union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -070025{
Ralf Baechle3f7cac42014-04-26 01:49:14 +020026 u64 rm;
27 int re;
28 u64 bm;
29
Linus Torvalds1da177e2005-04-16 15:20:36 -070030 COMPXDP;
31 COMPYDP;
32
33 EXPLODEXDP;
34 EXPLODEYDP;
35
Ralf Baechle9e8bad12014-04-19 00:36:32 +020036 ieee754_clearcx();
Linus Torvalds1da177e2005-04-16 15:20:36 -070037
38 FLUSHXDP;
39 FLUSHYDP;
40
41 switch (CLPAIR(xc, yc)) {
Linus Torvalds1da177e2005-04-16 15:20:36 -070042 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
Linus Torvalds1da177e2005-04-16 15:20:36 -070043 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
44 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
45 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
46 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
Maciej W. Rozyckid5afa7e2015-04-03 23:25:34 +010047 return ieee754dp_nanxcpt(y);
48
49 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
50 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
Linus Torvalds1da177e2005-04-16 15:20:36 -070051 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):
Maciej W. Rozyckid5afa7e2015-04-03 23:25:34 +010055 return ieee754dp_nanxcpt(x);
Linus Torvalds1da177e2005-04-16 15:20:36 -070056
57 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
58 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
59 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
60 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
61 return y;
62
63 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
64 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
65 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
66 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
67 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
68 return x;
69
70
Ralf Baechle3f7cac42014-04-26 01:49:14 +020071 /*
72 * Infinity handling
73 */
Linus Torvalds1da177e2005-04-16 15:20:36 -070074 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
Ralf Baechle9e8bad12014-04-19 00:36:32 +020075 ieee754_setcx(IEEE754_INVALID_OPERATION);
Ralf Baechle90efba32014-04-25 03:19:57 +020076 return ieee754dp_indef();
Linus Torvalds1da177e2005-04-16 15:20:36 -070077
78 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
79 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
80 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
81 return ieee754dp_zero(xs ^ ys);
82
83 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
84 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
85 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
86 return ieee754dp_inf(xs ^ ys);
87
Ralf Baechle3f7cac42014-04-26 01:49:14 +020088 /*
89 * Zero handling
90 */
Linus Torvalds1da177e2005-04-16 15:20:36 -070091 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
Ralf Baechle9e8bad12014-04-19 00:36:32 +020092 ieee754_setcx(IEEE754_INVALID_OPERATION);
Ralf Baechle90efba32014-04-25 03:19:57 +020093 return ieee754dp_indef();
Linus Torvalds1da177e2005-04-16 15:20:36 -070094
95 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
96 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
Ralf Baechle9e8bad12014-04-19 00:36:32 +020097 ieee754_setcx(IEEE754_ZERO_DIVIDE);
Ralf Baechle90efba32014-04-25 03:19:57 +020098 return ieee754dp_inf(xs ^ ys);
Linus Torvalds1da177e2005-04-16 15:20:36 -070099
100 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
101 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
102 return ieee754dp_zero(xs == ys ? 0 : 1);
103
104 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
105 DPDNORMX;
106
107 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
108 DPDNORMY;
109 break;
110
111 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
112 DPDNORMX;
113 break;
114
115 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
116 break;
117 }
118 assert(xm & DP_HIDDEN_BIT);
119 assert(ym & DP_HIDDEN_BIT);
120
121 /* provide rounding space */
122 xm <<= 3;
123 ym <<= 3;
124
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200125 /* now the dirty work */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700126
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200127 rm = 0;
128 re = xe - ye;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700129
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200130 for (bm = DP_MBIT(DP_FBITS + 2); bm; bm >>= 1) {
131 if (xm >= ym) {
132 xm -= ym;
133 rm |= bm;
134 if (xm == 0)
135 break;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700136 }
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200137 xm <<= 1;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700138 }
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200139
140 rm <<= 1;
141 if (xm)
142 rm |= 1; /* have remainder, set sticky */
143
144 assert(rm);
145
146 /*
147 * Normalise rm to rounding precision ?
148 */
149 while ((rm >> (DP_FBITS + 3)) == 0) {
150 rm <<= 1;
151 re--;
152 }
153
154 return ieee754dp_format(xs == ys ? 0 : 1, re, rm);
Linus Torvalds1da177e2005-04-16 15:20:36 -0700155}