Commit | Line | Data |
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1da177e4 LT |
1 | /* IEEE754 floating point arithmetic |
2 | * double precision: common utilities | |
3 | */ | |
4 | /* | |
5 | * MIPS floating point support | |
6 | * Copyright (C) 1994-2000 Algorithmics Ltd. | |
1da177e4 | 7 | * |
1da177e4 LT |
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. | |
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., | |
3f7cac41 | 19 | * 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. |
1da177e4 LT |
20 | */ |
21 | ||
cae55066 | 22 | #include <linux/compiler.h> |
1da177e4 LT |
23 | |
24 | #include "ieee754dp.h" | |
25 | ||
2209bcb1 | 26 | int ieee754dp_class(union ieee754dp x) |
1da177e4 LT |
27 | { |
28 | COMPXDP; | |
29 | EXPLODEXDP; | |
30 | return xc; | |
31 | } | |
32 | ||
e06b530b | 33 | static inline int ieee754dp_isnan(union ieee754dp x) |
1da177e4 | 34 | { |
c9a10845 | 35 | return ieee754_class_nan(ieee754dp_class(x)); |
1da177e4 LT |
36 | } |
37 | ||
f71baa11 | 38 | static inline int ieee754dp_issnan(union ieee754dp x) |
1da177e4 LT |
39 | { |
40 | assert(ieee754dp_isnan(x)); | |
635c9907 | 41 | return (DPMANT(x) & DP_MBIT(DP_FBITS - 1)) == DP_MBIT(DP_FBITS - 1); |
1da177e4 LT |
42 | } |
43 | ||
44 | ||
d5afa7e9 MR |
45 | /* |
46 | * Raise the Invalid Operation IEEE 754 exception | |
47 | * and convert the signaling NaN supplied to a quiet NaN. | |
48 | */ | |
90efba36 | 49 | union ieee754dp __cold ieee754dp_nanxcpt(union ieee754dp r) |
1da177e4 | 50 | { |
d5afa7e9 | 51 | assert(ieee754dp_issnan(r)); |
1da177e4 | 52 | |
d5afa7e9 MR |
53 | ieee754_setcx(IEEE754_INVALID_OPERATION); |
54 | return ieee754dp_indef(); | |
1da177e4 LT |
55 | } |
56 | ||
de2fc342 | 57 | static u64 ieee754dp_get_rounding(int sn, u64 xm) |
1da177e4 LT |
58 | { |
59 | /* inexact must round of 3 bits | |
60 | */ | |
61 | if (xm & (DP_MBIT(3) - 1)) { | |
62 | switch (ieee754_csr.rm) { | |
56a64733 | 63 | case FPU_CSR_RZ: |
1da177e4 | 64 | break; |
56a64733 | 65 | case FPU_CSR_RN: |
1da177e4 LT |
66 | xm += 0x3 + ((xm >> 3) & 1); |
67 | /* xm += (xm&0x8)?0x4:0x3 */ | |
68 | break; | |
56a64733 | 69 | case FPU_CSR_RU: /* toward +Infinity */ |
1da177e4 LT |
70 | if (!sn) /* ?? */ |
71 | xm += 0x8; | |
72 | break; | |
56a64733 | 73 | case FPU_CSR_RD: /* toward -Infinity */ |
70342287 | 74 | if (sn) /* ?? */ |
1da177e4 LT |
75 | xm += 0x8; |
76 | break; | |
77 | } | |
78 | } | |
79 | return xm; | |
80 | } | |
81 | ||
82 | ||
83 | /* generate a normal/denormal number with over,under handling | |
84 | * sn is sign | |
85 | * xe is an unbiased exponent | |
86 | * xm is 3bit extended precision value. | |
87 | */ | |
2209bcb1 | 88 | union ieee754dp ieee754dp_format(int sn, int xe, u64 xm) |
1da177e4 LT |
89 | { |
90 | assert(xm); /* we don't gen exact zeros (probably should) */ | |
91 | ||
ad8fb553 | 92 | assert((xm >> (DP_FBITS + 1 + 3)) == 0); /* no execess */ |
1da177e4 LT |
93 | assert(xm & (DP_HIDDEN_BIT << 3)); |
94 | ||
95 | if (xe < DP_EMIN) { | |
96 | /* strip lower bits */ | |
97 | int es = DP_EMIN - xe; | |
98 | ||
99 | if (ieee754_csr.nod) { | |
9e8bad1f RB |
100 | ieee754_setcx(IEEE754_UNDERFLOW); |
101 | ieee754_setcx(IEEE754_INEXACT); | |
1da177e4 LT |
102 | |
103 | switch(ieee754_csr.rm) { | |
56a64733 RB |
104 | case FPU_CSR_RN: |
105 | case FPU_CSR_RZ: | |
1da177e4 | 106 | return ieee754dp_zero(sn); |
56a64733 | 107 | case FPU_CSR_RU: /* toward +Infinity */ |
47fa0c02 | 108 | if (sn == 0) |
1da177e4 LT |
109 | return ieee754dp_min(0); |
110 | else | |
111 | return ieee754dp_zero(1); | |
56a64733 | 112 | case FPU_CSR_RD: /* toward -Infinity */ |
47fa0c02 | 113 | if (sn == 0) |
1da177e4 LT |
114 | return ieee754dp_zero(0); |
115 | else | |
116 | return ieee754dp_min(1); | |
117 | } | |
118 | } | |
119 | ||
de2fc342 RB |
120 | if (xe == DP_EMIN - 1 && |
121 | ieee754dp_get_rounding(sn, xm) >> (DP_FBITS + 1 + 3)) | |
1da177e4 LT |
122 | { |
123 | /* Not tiny after rounding */ | |
9e8bad1f | 124 | ieee754_setcx(IEEE754_INEXACT); |
de2fc342 | 125 | xm = ieee754dp_get_rounding(sn, xm); |
1da177e4 LT |
126 | xm >>= 1; |
127 | /* Clear grs bits */ | |
128 | xm &= ~(DP_MBIT(3) - 1); | |
129 | xe++; | |
130 | } | |
131 | else { | |
132 | /* sticky right shift es bits | |
133 | */ | |
134 | xm = XDPSRS(xm, es); | |
135 | xe += es; | |
136 | assert((xm & (DP_HIDDEN_BIT << 3)) == 0); | |
137 | assert(xe == DP_EMIN); | |
138 | } | |
139 | } | |
140 | if (xm & (DP_MBIT(3) - 1)) { | |
9e8bad1f | 141 | ieee754_setcx(IEEE754_INEXACT); |
1da177e4 | 142 | if ((xm & (DP_HIDDEN_BIT << 3)) == 0) { |
9e8bad1f | 143 | ieee754_setcx(IEEE754_UNDERFLOW); |
1da177e4 LT |
144 | } |
145 | ||
146 | /* inexact must round of 3 bits | |
147 | */ | |
de2fc342 | 148 | xm = ieee754dp_get_rounding(sn, xm); |
1da177e4 LT |
149 | /* adjust exponent for rounding add overflowing |
150 | */ | |
ad8fb553 | 151 | if (xm >> (DP_FBITS + 3 + 1)) { |
1da177e4 LT |
152 | /* add causes mantissa overflow */ |
153 | xm >>= 1; | |
154 | xe++; | |
155 | } | |
156 | } | |
157 | /* strip grs bits */ | |
158 | xm >>= 3; | |
159 | ||
ad8fb553 | 160 | assert((xm >> (DP_FBITS + 1)) == 0); /* no execess */ |
1da177e4 LT |
161 | assert(xe >= DP_EMIN); |
162 | ||
163 | if (xe > DP_EMAX) { | |
9e8bad1f RB |
164 | ieee754_setcx(IEEE754_OVERFLOW); |
165 | ieee754_setcx(IEEE754_INEXACT); | |
1da177e4 LT |
166 | /* -O can be table indexed by (rm,sn) */ |
167 | switch (ieee754_csr.rm) { | |
56a64733 | 168 | case FPU_CSR_RN: |
1da177e4 | 169 | return ieee754dp_inf(sn); |
56a64733 | 170 | case FPU_CSR_RZ: |
1da177e4 | 171 | return ieee754dp_max(sn); |
56a64733 | 172 | case FPU_CSR_RU: /* toward +Infinity */ |
1da177e4 LT |
173 | if (sn == 0) |
174 | return ieee754dp_inf(0); | |
175 | else | |
176 | return ieee754dp_max(1); | |
56a64733 | 177 | case FPU_CSR_RD: /* toward -Infinity */ |
1da177e4 LT |
178 | if (sn == 0) |
179 | return ieee754dp_max(0); | |
180 | else | |
181 | return ieee754dp_inf(1); | |
182 | } | |
183 | } | |
184 | /* gen norm/denorm/zero */ | |
185 | ||
186 | if ((xm & DP_HIDDEN_BIT) == 0) { | |
187 | /* we underflow (tiny/zero) */ | |
188 | assert(xe == DP_EMIN); | |
189 | if (ieee754_csr.mx & IEEE754_UNDERFLOW) | |
9e8bad1f | 190 | ieee754_setcx(IEEE754_UNDERFLOW); |
1da177e4 LT |
191 | return builddp(sn, DP_EMIN - 1 + DP_EBIAS, xm); |
192 | } else { | |
ad8fb553 | 193 | assert((xm >> (DP_FBITS + 1)) == 0); /* no execess */ |
1da177e4 LT |
194 | assert(xm & DP_HIDDEN_BIT); |
195 | ||
196 | return builddp(sn, xe + DP_EBIAS, xm & ~DP_HIDDEN_BIT); | |
197 | } | |
198 | } |