Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 1 | /* IEEE754 floating point arithmetic |
| 2 | * double precision: common utilities |
| 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 | * |
| 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 "ieee754dp.h" |
| 28 | |
| 29 | ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y) |
| 30 | { |
| 31 | COMPXDP; |
| 32 | COMPYDP; |
| 33 | |
| 34 | EXPLODEXDP; |
| 35 | EXPLODEYDP; |
| 36 | |
| 37 | CLEARCX; |
| 38 | |
| 39 | FLUSHXDP; |
| 40 | FLUSHYDP; |
| 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 ieee754dp_nanxcpt(ieee754dp_indef(), "div", 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 | SETCX(IEEE754_INVALID_OPERATION); |
| 76 | return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y); |
| 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 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 | |
| 88 | /* Zero handling |
| 89 | */ |
| 90 | |
| 91 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): |
| 92 | SETCX(IEEE754_INVALID_OPERATION); |
| 93 | return ieee754dp_xcpt(ieee754dp_indef(), "div", x, y); |
| 94 | |
| 95 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): |
| 96 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): |
| 97 | SETCX(IEEE754_ZERO_DIVIDE); |
| 98 | return ieee754dp_xcpt(ieee754dp_inf(xs ^ ys), "div", x, y); |
| 99 | |
| 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 | |
| 125 | { |
| 126 | /* now the dirty work */ |
| 127 | |
| 128 | u64 rm = 0; |
| 129 | int re = xe - ye; |
| 130 | u64 bm; |
| 131 | |
| 132 | for (bm = DP_MBIT(DP_MBITS + 2); bm; bm >>= 1) { |
| 133 | if (xm >= ym) { |
| 134 | xm -= ym; |
| 135 | rm |= bm; |
| 136 | if (xm == 0) |
| 137 | break; |
| 138 | } |
| 139 | xm <<= 1; |
| 140 | } |
| 141 | rm <<= 1; |
| 142 | if (xm) |
| 143 | rm |= 1; /* have remainder, set sticky */ |
| 144 | |
| 145 | assert(rm); |
| 146 | |
| 147 | /* normalise rm to rounding precision ? |
| 148 | */ |
| 149 | while ((rm >> (DP_MBITS + 3)) == 0) { |
| 150 | rm <<= 1; |
| 151 | re--; |
| 152 | } |
| 153 | |
| 154 | DPNORMRET2(xs == ys ? 0 : 1, re, rm, "div", x, y); |
| 155 | } |
| 156 | } |