| 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_mul(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(), "mul", 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 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): | 
|  | 74 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): | 
|  | 75 | SETCX(IEEE754_INVALID_OPERATION); | 
|  | 76 | return ieee754dp_xcpt(ieee754dp_indef(), "mul", x, y); | 
|  | 77 |  | 
|  | 78 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): | 
|  | 79 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): | 
|  | 80 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): | 
|  | 81 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): | 
|  | 82 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): | 
|  | 83 | return ieee754dp_inf(xs ^ ys); | 
|  | 84 |  | 
|  | 85 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): | 
|  | 86 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): | 
|  | 87 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): | 
|  | 88 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): | 
|  | 89 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): | 
|  | 90 | return ieee754dp_zero(xs ^ ys); | 
|  | 91 |  | 
|  | 92 |  | 
|  | 93 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): | 
|  | 94 | DPDNORMX; | 
|  | 95 |  | 
|  | 96 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): | 
|  | 97 | DPDNORMY; | 
|  | 98 | break; | 
|  | 99 |  | 
|  | 100 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): | 
|  | 101 | DPDNORMX; | 
|  | 102 | break; | 
|  | 103 |  | 
|  | 104 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): | 
|  | 105 | break; | 
|  | 106 | } | 
| Lucas De Marchi | 25985ed | 2011-03-30 22:57:33 -0300 | [diff] [blame] | 107 | /* rm = xm * ym, re = xe+ye basically */ | 
| Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 108 | assert(xm & DP_HIDDEN_BIT); | 
|  | 109 | assert(ym & DP_HIDDEN_BIT); | 
|  | 110 | { | 
|  | 111 | int re = xe + ye; | 
|  | 112 | int rs = xs ^ ys; | 
|  | 113 | u64 rm; | 
|  | 114 |  | 
|  | 115 | /* shunt to top of word */ | 
|  | 116 | xm <<= 64 - (DP_MBITS + 1); | 
|  | 117 | ym <<= 64 - (DP_MBITS + 1); | 
|  | 118 |  | 
|  | 119 | /* multiply 32bits xm,ym to give high 32bits rm with stickness | 
|  | 120 | */ | 
|  | 121 |  | 
|  | 122 | /* 32 * 32 => 64 */ | 
| Ralf Baechle | 21a151d | 2007-10-11 23:46:15 +0100 | [diff] [blame] | 123 | #define DPXMULT(x, y)	((u64)(x) * (u64)y) | 
| Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 124 |  | 
|  | 125 | { | 
|  | 126 | unsigned lxm = xm; | 
|  | 127 | unsigned hxm = xm >> 32; | 
|  | 128 | unsigned lym = ym; | 
|  | 129 | unsigned hym = ym >> 32; | 
|  | 130 | u64 lrm; | 
|  | 131 | u64 hrm; | 
|  | 132 |  | 
|  | 133 | lrm = DPXMULT(lxm, lym); | 
|  | 134 | hrm = DPXMULT(hxm, hym); | 
|  | 135 |  | 
|  | 136 | { | 
|  | 137 | u64 t = DPXMULT(lxm, hym); | 
|  | 138 | { | 
|  | 139 | u64 at = | 
|  | 140 | lrm + (t << 32); | 
|  | 141 | hrm += at < lrm; | 
|  | 142 | lrm = at; | 
|  | 143 | } | 
|  | 144 | hrm = hrm + (t >> 32); | 
|  | 145 | } | 
|  | 146 |  | 
|  | 147 | { | 
|  | 148 | u64 t = DPXMULT(hxm, lym); | 
|  | 149 | { | 
|  | 150 | u64 at = | 
|  | 151 | lrm + (t << 32); | 
|  | 152 | hrm += at < lrm; | 
|  | 153 | lrm = at; | 
|  | 154 | } | 
|  | 155 | hrm = hrm + (t >> 32); | 
|  | 156 | } | 
|  | 157 | rm = hrm | (lrm != 0); | 
|  | 158 | } | 
|  | 159 |  | 
|  | 160 | /* | 
|  | 161 | * sticky shift down to normal rounding precision | 
|  | 162 | */ | 
|  | 163 | if ((s64) rm < 0) { | 
|  | 164 | rm = | 
|  | 165 | (rm >> (64 - (DP_MBITS + 1 + 3))) | | 
|  | 166 | ((rm << (DP_MBITS + 1 + 3)) != 0); | 
|  | 167 | re++; | 
|  | 168 | } else { | 
|  | 169 | rm = | 
|  | 170 | (rm >> (64 - (DP_MBITS + 1 + 3 + 1))) | | 
|  | 171 | ((rm << (DP_MBITS + 1 + 3 + 1)) != 0); | 
|  | 172 | } | 
|  | 173 | assert(rm & (DP_HIDDEN_BIT << 3)); | 
|  | 174 | DPNORMRET2(rs, re, rm, "mul", x, y); | 
|  | 175 | } | 
|  | 176 | } |