Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 1 | /* IEEE754 floating point arithmetic |
| 2 | * single precision |
| 3 | */ |
| 4 | /* |
| 5 | * MIPS floating point support |
| 6 | * Copyright (C) 1994-2000 Algorithmics Ltd. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 7 | * |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 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., |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 19 | * 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 20 | */ |
| 21 | |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 22 | #include "ieee754sp.h" |
| 23 | |
Ralf Baechle | 2209bcb | 2014-04-16 01:31:11 +0200 | [diff] [blame] | 24 | union ieee754sp ieee754sp_div(union ieee754sp x, union ieee754sp y) |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 25 | { |
Aleksandar Markovic | a58f85b | 2017-11-02 12:13:59 +0100 | [diff] [blame] | 26 | unsigned int rm; |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 27 | int re; |
Aleksandar Markovic | a58f85b | 2017-11-02 12:13:59 +0100 | [diff] [blame] | 28 | unsigned int bm; |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 29 | |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 30 | COMPXSP; |
| 31 | COMPYSP; |
| 32 | |
| 33 | EXPLODEXSP; |
| 34 | EXPLODEYSP; |
| 35 | |
Ralf Baechle | 9e8bad1 | 2014-04-19 00:36:32 +0200 | [diff] [blame] | 36 | ieee754_clearcx(); |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 37 | |
| 38 | FLUSHXSP; |
| 39 | FLUSHYSP; |
| 40 | |
| 41 | switch (CLPAIR(xc, yc)) { |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 42 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 43 | 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. Rozycki | d5afa7e | 2015-04-03 23:25:34 +0100 | [diff] [blame] | 47 | return ieee754sp_nanxcpt(y); |
| 48 | |
| 49 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): |
| 50 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 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): |
Maciej W. Rozycki | d5afa7e | 2015-04-03 23:25:34 +0100 | [diff] [blame] | 55 | return ieee754sp_nanxcpt(x); |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 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 | |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 71 | /* |
| 72 | * Infinity handling |
| 73 | */ |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 74 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): |
Ralf Baechle | 9e8bad1 | 2014-04-19 00:36:32 +0200 | [diff] [blame] | 75 | ieee754_setcx(IEEE754_INVALID_OPERATION); |
Ralf Baechle | 90efba3 | 2014-04-25 03:19:57 +0200 | [diff] [blame] | 76 | return ieee754sp_indef(); |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 77 | |
| 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 ieee754sp_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 ieee754sp_inf(xs ^ ys); |
| 87 | |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 88 | /* |
| 89 | * Zero handling |
| 90 | */ |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 91 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): |
Ralf Baechle | 9e8bad1 | 2014-04-19 00:36:32 +0200 | [diff] [blame] | 92 | ieee754_setcx(IEEE754_INVALID_OPERATION); |
Ralf Baechle | 90efba3 | 2014-04-25 03:19:57 +0200 | [diff] [blame] | 93 | return ieee754sp_indef(); |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 94 | |
| 95 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): |
| 96 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): |
Ralf Baechle | 9e8bad1 | 2014-04-19 00:36:32 +0200 | [diff] [blame] | 97 | ieee754_setcx(IEEE754_ZERO_DIVIDE); |
Ralf Baechle | 90efba3 | 2014-04-25 03:19:57 +0200 | [diff] [blame] | 98 | return ieee754sp_inf(xs ^ ys); |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 99 | |
| 100 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): |
| 101 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): |
| 102 | return ieee754sp_zero(xs == ys ? 0 : 1); |
| 103 | |
| 104 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): |
| 105 | SPDNORMX; |
| 106 | |
| 107 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): |
| 108 | SPDNORMY; |
| 109 | break; |
| 110 | |
| 111 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): |
| 112 | SPDNORMX; |
| 113 | break; |
| 114 | |
| 115 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): |
| 116 | break; |
| 117 | } |
| 118 | assert(xm & SP_HIDDEN_BIT); |
| 119 | assert(ym & SP_HIDDEN_BIT); |
| 120 | |
| 121 | /* provide rounding space */ |
| 122 | xm <<= 3; |
| 123 | ym <<= 3; |
| 124 | |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 125 | /* now the dirty work */ |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 126 | |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 127 | rm = 0; |
| 128 | re = xe - ye; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 129 | |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 130 | for (bm = SP_MBIT(SP_FBITS + 2); bm; bm >>= 1) { |
| 131 | if (xm >= ym) { |
| 132 | xm -= ym; |
| 133 | rm |= bm; |
| 134 | if (xm == 0) |
| 135 | break; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 136 | } |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 137 | xm <<= 1; |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 138 | } |
Ralf Baechle | 3f7cac4 | 2014-04-26 01:49:14 +0200 | [diff] [blame] | 139 | |
| 140 | rm <<= 1; |
| 141 | if (xm) |
| 142 | rm |= 1; /* have remainder, set sticky */ |
| 143 | |
| 144 | assert(rm); |
| 145 | |
| 146 | /* normalise rm to rounding precision ? |
| 147 | */ |
| 148 | while ((rm >> (SP_FBITS + 3)) == 0) { |
| 149 | rm <<= 1; |
| 150 | re--; |
| 151 | } |
| 152 | |
| 153 | return ieee754sp_format(xs == ys ? 0 : 1, re, rm); |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 154 | } |