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Linus Torvalds1da177e2005-04-16 15:20:36 -07001/* IEEE754 floating point arithmetic
2 * single precision
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 "ieee754sp.h"
23
Ralf Baechle2209bcb2014-04-16 01:31:11 +020024union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -070025{
Ralf Baechle3f7cac42014-04-26 01:49:14 +020026 int s;
27
Linus Torvalds1da177e2005-04-16 15:20:36 -070028 COMPXSP;
29 COMPYSP;
30
31 EXPLODEXSP;
32 EXPLODEYSP;
33
Ralf Baechle9e8bad12014-04-19 00:36:32 +020034 ieee754_clearcx();
Linus Torvalds1da177e2005-04-16 15:20:36 -070035
36 FLUSHXSP;
37 FLUSHYSP;
38
39 switch (CLPAIR(xc, yc)) {
Linus Torvalds1da177e2005-04-16 15:20:36 -070040 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
Linus Torvalds1da177e2005-04-16 15:20:36 -070041 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
42 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
43 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
44 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
Maciej W. Rozyckid5afa7e2015-04-03 23:25:34 +010045 return ieee754sp_nanxcpt(y);
46
47 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
48 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
Linus Torvalds1da177e2005-04-16 15:20:36 -070049 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
50 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
51 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
52 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
Maciej W. Rozyckid5afa7e2015-04-03 23:25:34 +010053 return ieee754sp_nanxcpt(x);
Linus Torvalds1da177e2005-04-16 15:20:36 -070054
55 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
56 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
57 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
58 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
59 return y;
60
61 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
62 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
63 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
64 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
65 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
66 return x;
67
68
Ralf Baechle3f7cac42014-04-26 01:49:14 +020069 /*
70 * Infinity handling
71 */
Linus Torvalds1da177e2005-04-16 15:20:36 -070072 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
73 if (xs == ys)
74 return x;
Ralf Baechle9e8bad12014-04-19 00:36:32 +020075 ieee754_setcx(IEEE754_INVALID_OPERATION);
Ralf Baechle90efba32014-04-25 03:19:57 +020076 return ieee754sp_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 y;
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 x;
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):
92 if (xs == ys)
93 return x;
94 else
Ralf Baechle56a64732014-04-30 11:21:55 +020095 return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
Linus Torvalds1da177e2005-04-16 15:20:36 -070096
97 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
98 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
99 return x;
100
101 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
102 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
103 return y;
104
105 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
106 SPDNORMX;
107
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200108 /* FALL THROUGH */
109
Linus Torvalds1da177e2005-04-16 15:20:36 -0700110 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
111 SPDNORMY;
112 break;
113
114 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
115 SPDNORMX;
116 break;
117
118 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
119 break;
120 }
121 assert(xm & SP_HIDDEN_BIT);
122 assert(ym & SP_HIDDEN_BIT);
123
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200124 /*
125 * Provide guard, round and stick bit space.
126 */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700127 xm <<= 3;
128 ym <<= 3;
129
130 if (xe > ye) {
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200131 /*
132 * Have to shift y fraction right to align.
Linus Torvalds1da177e2005-04-16 15:20:36 -0700133 */
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200134 s = xe - ye;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700135 SPXSRSYn(s);
136 } else if (ye > xe) {
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200137 /*
138 * Have to shift x fraction right to align.
Linus Torvalds1da177e2005-04-16 15:20:36 -0700139 */
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200140 s = ye - xe;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700141 SPXSRSXn(s);
142 }
143 assert(xe == ye);
144 assert(xe <= SP_EMAX);
145
146 if (xs == ys) {
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200147 /*
148 * Generate 28 bit result of adding two 27 bit numbers
149 * leaving result in xm, xs and xe.
Linus Torvalds1da177e2005-04-16 15:20:36 -0700150 */
151 xm = xm + ym;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700152
Ralf Baechlead8fb552014-04-22 15:51:55 +0200153 if (xm >> (SP_FBITS + 1 + 3)) { /* carry out */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700154 SPXSRSX1();
155 }
156 } else {
157 if (xm >= ym) {
158 xm = xm - ym;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700159 } else {
160 xm = ym - xm;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700161 xs = ys;
162 }
163 if (xm == 0)
Ralf Baechle56a64732014-04-30 11:21:55 +0200164 return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
Linus Torvalds1da177e2005-04-16 15:20:36 -0700165
Ralf Baechle3f7cac42014-04-26 01:49:14 +0200166 /*
167 * Normalize in extended single precision
168 */
Ralf Baechlead8fb552014-04-22 15:51:55 +0200169 while ((xm >> (SP_FBITS + 3)) == 0) {
Linus Torvalds1da177e2005-04-16 15:20:36 -0700170 xm <<= 1;
171 xe--;
172 }
Linus Torvalds1da177e2005-04-16 15:20:36 -0700173 }
Ralf Baechle90efba32014-04-25 03:19:57 +0200174
175 return ieee754sp_format(xs, xe, xm);
Linus Torvalds1da177e2005-04-16 15:20:36 -0700176}