| 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. | 
|  | 7 | * http://www.algor.co.uk | 
|  | 8 | * | 
|  | 9 | * ######################################################################## | 
|  | 10 | * | 
|  | 11 | *  This program is free software; you can distribute it and/or modify it | 
|  | 12 | *  under the terms of the GNU General Public License (Version 2) as | 
|  | 13 | *  published by the Free Software Foundation. | 
|  | 14 | * | 
|  | 15 | *  This program is distributed in the hope it will be useful, but WITHOUT | 
|  | 16 | *  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | 
|  | 17 | *  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License | 
|  | 18 | *  for more details. | 
|  | 19 | * | 
|  | 20 | *  You should have received a copy of the GNU General Public License along | 
|  | 21 | *  with this program; if not, write to the Free Software Foundation, Inc., | 
|  | 22 | *  59 Temple Place - Suite 330, Boston MA 02111-1307, USA. | 
|  | 23 | * | 
|  | 24 | * ######################################################################## | 
|  | 25 | */ | 
|  | 26 |  | 
|  | 27 |  | 
|  | 28 | #include "ieee754sp.h" | 
|  | 29 |  | 
|  | 30 | ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y) | 
|  | 31 | { | 
|  | 32 | COMPXSP; | 
|  | 33 | COMPYSP; | 
|  | 34 |  | 
|  | 35 | EXPLODEXSP; | 
|  | 36 | EXPLODEYSP; | 
|  | 37 |  | 
|  | 38 | CLEARCX; | 
|  | 39 |  | 
|  | 40 | FLUSHXSP; | 
|  | 41 | FLUSHYSP; | 
|  | 42 |  | 
|  | 43 | switch (CLPAIR(xc, yc)) { | 
|  | 44 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): | 
|  | 45 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): | 
|  | 46 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): | 
|  | 47 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN): | 
|  | 48 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN): | 
|  | 49 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN): | 
|  | 50 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN): | 
|  | 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): | 
|  | 55 | SETCX(IEEE754_INVALID_OPERATION); | 
|  | 56 | return ieee754sp_nanxcpt(ieee754sp_indef(), "mul", x, y); | 
|  | 57 |  | 
|  | 58 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN): | 
|  | 59 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN): | 
|  | 60 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN): | 
|  | 61 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN): | 
|  | 62 | return y; | 
|  | 63 |  | 
|  | 64 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN): | 
|  | 65 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO): | 
|  | 66 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM): | 
|  | 67 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM): | 
|  | 68 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF): | 
|  | 69 | return x; | 
|  | 70 |  | 
|  | 71 |  | 
|  | 72 | /* Infinity handling */ | 
|  | 73 |  | 
|  | 74 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): | 
|  | 75 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): | 
|  | 76 | SETCX(IEEE754_INVALID_OPERATION); | 
|  | 77 | return ieee754sp_xcpt(ieee754sp_indef(), "mul", x, y); | 
|  | 78 |  | 
|  | 79 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): | 
|  | 80 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): | 
|  | 81 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): | 
|  | 82 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): | 
|  | 83 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): | 
|  | 84 | return ieee754sp_inf(xs ^ ys); | 
|  | 85 |  | 
|  | 86 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): | 
|  | 87 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): | 
|  | 88 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): | 
|  | 89 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): | 
|  | 90 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): | 
|  | 91 | return ieee754sp_zero(xs ^ ys); | 
|  | 92 |  | 
|  | 93 |  | 
|  | 94 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): | 
|  | 95 | SPDNORMX; | 
|  | 96 |  | 
|  | 97 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): | 
|  | 98 | SPDNORMY; | 
|  | 99 | break; | 
|  | 100 |  | 
|  | 101 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): | 
|  | 102 | SPDNORMX; | 
|  | 103 | break; | 
|  | 104 |  | 
|  | 105 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): | 
|  | 106 | break; | 
|  | 107 | } | 
|  | 108 | /* rm = xm * ym, re = xe+ye basicly */ | 
|  | 109 | assert(xm & SP_HIDDEN_BIT); | 
|  | 110 | assert(ym & SP_HIDDEN_BIT); | 
|  | 111 |  | 
|  | 112 | { | 
|  | 113 | int re = xe + ye; | 
|  | 114 | int rs = xs ^ ys; | 
|  | 115 | unsigned rm; | 
|  | 116 |  | 
|  | 117 | /* shunt to top of word */ | 
|  | 118 | xm <<= 32 - (SP_MBITS + 1); | 
|  | 119 | ym <<= 32 - (SP_MBITS + 1); | 
|  | 120 |  | 
|  | 121 | /* multiply 32bits xm,ym to give high 32bits rm with stickness | 
|  | 122 | */ | 
|  | 123 | { | 
|  | 124 | unsigned short lxm = xm & 0xffff; | 
|  | 125 | unsigned short hxm = xm >> 16; | 
|  | 126 | unsigned short lym = ym & 0xffff; | 
|  | 127 | unsigned short hym = ym >> 16; | 
|  | 128 | unsigned lrm; | 
|  | 129 | unsigned hrm; | 
|  | 130 |  | 
|  | 131 | lrm = lxm * lym;	/* 16 * 16 => 32 */ | 
|  | 132 | hrm = hxm * hym;	/* 16 * 16 => 32 */ | 
|  | 133 |  | 
|  | 134 | { | 
|  | 135 | unsigned t = lxm * hym;	/* 16 * 16 => 32 */ | 
|  | 136 | { | 
|  | 137 | unsigned at = lrm + (t << 16); | 
|  | 138 | hrm += at < lrm; | 
|  | 139 | lrm = at; | 
|  | 140 | } | 
|  | 141 | hrm = hrm + (t >> 16); | 
|  | 142 | } | 
|  | 143 |  | 
|  | 144 | { | 
|  | 145 | unsigned t = hxm * lym;	/* 16 * 16 => 32 */ | 
|  | 146 | { | 
|  | 147 | unsigned at = lrm + (t << 16); | 
|  | 148 | hrm += at < lrm; | 
|  | 149 | lrm = at; | 
|  | 150 | } | 
|  | 151 | hrm = hrm + (t >> 16); | 
|  | 152 | } | 
|  | 153 | rm = hrm | (lrm != 0); | 
|  | 154 | } | 
|  | 155 |  | 
|  | 156 | /* | 
|  | 157 | * sticky shift down to normal rounding precision | 
|  | 158 | */ | 
|  | 159 | if ((int) rm < 0) { | 
|  | 160 | rm = (rm >> (32 - (SP_MBITS + 1 + 3))) | | 
|  | 161 | ((rm << (SP_MBITS + 1 + 3)) != 0); | 
|  | 162 | re++; | 
|  | 163 | } else { | 
|  | 164 | rm = (rm >> (32 - (SP_MBITS + 1 + 3 + 1))) | | 
|  | 165 | ((rm << (SP_MBITS + 1 + 3 + 1)) != 0); | 
|  | 166 | } | 
|  | 167 | assert(rm & (SP_HIDDEN_BIT << 3)); | 
|  | 168 |  | 
|  | 169 | SPNORMRET2(rs, re, rm, "mul", x, y); | 
|  | 170 | } | 
|  | 171 | } |