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1/* IEEE754 floating point arithmetic
2 * single precision
3 */
4/*
5 * MIPS floating point support
6 * Copyright (C) 1994-2000 Algorithmics Ltd.
7 *
8 * ########################################################################
9 *
10 * This program is free software; you can distribute it and/or modify it
11 * under the terms of the GNU General Public License (Version 2) as
12 * published by the Free Software Foundation.
13 *
14 * This program is distributed in the hope it will be useful, but WITHOUT
15 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
16 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
17 * for more details.
18 *
19 * You should have received a copy of the GNU General Public License along
20 * with this program; if not, write to the Free Software Foundation, Inc.,
21 * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
22 *
23 * ########################################################################
24 */
25
26
27#include "ieee754sp.h"
28
29ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y)
30{
31 COMPXSP;
32 COMPYSP;
33
34 EXPLODEXSP;
35 EXPLODEYSP;
36
37 CLEARCX;
38
39 FLUSHXSP;
40 FLUSHYSP;
41
42 switch (CLPAIR(xc, yc)) {
43 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
44 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
45 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
46 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
47 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
48 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
49 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
50 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
51 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
52 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
53 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
54 SETCX(IEEE754_INVALID_OPERATION);
55 return ieee754sp_nanxcpt(ieee754sp_indef(), "sub", x, y);
56
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
71 /* Infinity handling
72 */
73
74 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
75 if (xs != ys)
76 return x;
77 SETCX(IEEE754_INVALID_OPERATION);
78 return ieee754sp_xcpt(ieee754sp_indef(), "sub", x, y);
79
80 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
81 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
82 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
83 return ieee754sp_inf(ys ^ 1);
84
85 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
86 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
87 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
88 return x;
89
90 /* Zero handling
91 */
92
93 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
94 if (xs != ys)
95 return x;
96 else
97 return ieee754sp_zero(ieee754_csr.rm ==
98 IEEE754_RD);
99
100 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
101 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
102 return x;
103
104 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
105 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
106 /* quick fix up */
107 DPSIGN(y) ^= 1;
108 return y;
109
110 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
111 SPDNORMX;
112
113 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
114 SPDNORMY;
115 break;
116
117 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
118 SPDNORMX;
119 break;
120
121 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
122 break;
123 }
124 /* flip sign of y and handle as add */
125 ys ^= 1;
126
127 assert(xm & SP_HIDDEN_BIT);
128 assert(ym & SP_HIDDEN_BIT);
129
130
131 /* provide guard,round and stick bit space */
132 xm <<= 3;
133 ym <<= 3;
134
135 if (xe > ye) {
136 /* have to shift y fraction right to align
137 */
138 int s = xe - ye;
139 SPXSRSYn(s);
140 } else if (ye > xe) {
141 /* have to shift x fraction right to align
142 */
143 int s = ye - xe;
144 SPXSRSXn(s);
145 }
146 assert(xe == ye);
147 assert(xe <= SP_EMAX);
148
149 if (xs == ys) {
150 /* generate 28 bit result of adding two 27 bit numbers
151 */
152 xm = xm + ym;
153 xe = xe;
154 xs = xs;
155
156 if (xm >> (SP_MBITS + 1 + 3)) { /* carry out */
157 SPXSRSX1(); /* shift preserving sticky */
158 }
159 } else {
160 if (xm >= ym) {
161 xm = xm - ym;
162 xe = xe;
163 xs = xs;
164 } else {
165 xm = ym - xm;
166 xe = xe;
167 xs = ys;
168 }
169 if (xm == 0) {
170 if (ieee754_csr.rm == IEEE754_RD)
171 return ieee754sp_zero(1); /* round negative inf. => sign = -1 */
172 else
173 return ieee754sp_zero(0); /* other round modes => sign = 1 */
174 }
175 /* normalize to rounding precision
176 */
177 while ((xm >> (SP_MBITS + 3)) == 0) {
178 xm <<= 1;
179 xe--;
180 }
181 }
182 SPNORMRET2(xs, xe, xm, "sub", x, y);
183}
1// SPDX-License-Identifier: GPL-2.0-only
2/* IEEE754 floating point arithmetic
3 * single precision
4 */
5/*
6 * MIPS floating point support
7 * Copyright (C) 1994-2000 Algorithmics Ltd.
8 */
9
10#include "ieee754sp.h"
11
12union ieee754sp ieee754sp_sub(union ieee754sp x, union ieee754sp y)
13{
14 int s;
15
16 COMPXSP;
17 COMPYSP;
18
19 EXPLODEXSP;
20 EXPLODEYSP;
21
22 ieee754_clearcx();
23
24 FLUSHXSP;
25 FLUSHYSP;
26
27 switch (CLPAIR(xc, yc)) {
28 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
29 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
30 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
31 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
32 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
33 return ieee754sp_nanxcpt(y);
34
35 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
36 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
37 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
38 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
39 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
40 case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
41 return ieee754sp_nanxcpt(x);
42
43 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
44 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
45 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
46 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
47 return y;
48
49 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
50 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
51 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
52 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
53 case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
54 return x;
55
56
57 /*
58 * Infinity handling
59 */
60 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
61 if (xs != ys)
62 return x;
63 ieee754_setcx(IEEE754_INVALID_OPERATION);
64 return ieee754sp_indef();
65
66 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF):
67 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF):
68 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF):
69 return ieee754sp_inf(ys ^ 1);
70
71 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO):
72 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM):
73 case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM):
74 return x;
75
76 /*
77 * Zero handling
78 */
79 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
80 if (xs != ys)
81 return x;
82 else
83 return ieee754sp_zero(ieee754_csr.rm == FPU_CSR_RD);
84
85 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
86 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
87 return x;
88
89 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
90 case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
91 /* quick fix up */
92 SPSIGN(y) ^= 1;
93 return y;
94
95 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
96 SPDNORMX;
97 fallthrough;
98 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
99 SPDNORMY;
100 break;
101
102 case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
103 SPDNORMX;
104 break;
105
106 case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
107 break;
108 }
109 /* flip sign of y and handle as add */
110 ys ^= 1;
111
112 assert(xm & SP_HIDDEN_BIT);
113 assert(ym & SP_HIDDEN_BIT);
114
115
116 /* provide guard,round and stick bit space */
117 xm <<= 3;
118 ym <<= 3;
119
120 if (xe > ye) {
121 /*
122 * have to shift y fraction right to align
123 */
124 s = xe - ye;
125 ym = XSPSRS(ym, s);
126 ye += s;
127 } else if (ye > xe) {
128 /*
129 * have to shift x fraction right to align
130 */
131 s = ye - xe;
132 xm = XSPSRS(xm, s);
133 xe += s;
134 }
135 assert(xe == ye);
136 assert(xe <= SP_EMAX);
137
138 if (xs == ys) {
139 /* generate 28 bit result of adding two 27 bit numbers
140 */
141 xm = xm + ym;
142
143 if (xm >> (SP_FBITS + 1 + 3)) { /* carry out */
144 SPXSRSX1(); /* shift preserving sticky */
145 }
146 } else {
147 if (xm >= ym) {
148 xm = xm - ym;
149 } else {
150 xm = ym - xm;
151 xs = ys;
152 }
153 if (xm == 0) {
154 if (ieee754_csr.rm == FPU_CSR_RD)
155 return ieee754sp_zero(1); /* round negative inf. => sign = -1 */
156 else
157 return ieee754sp_zero(0); /* other round modes => sign = 1 */
158 }
159 /* normalize to rounding precision
160 */
161 while ((xm >> (SP_FBITS + 3)) == 0) {
162 xm <<= 1;
163 xe--;
164 }
165 }
166
167 return ieee754sp_format(xs, xe, xm);
168}