| 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. | 
|  | 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 |  | 
|  | 29 | #include "ieee754dp.h" | 
|  | 30 |  | 
|  | 31 | ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y) | 
|  | 32 | { | 
|  | 33 | COMPXDP; | 
|  | 34 | COMPYDP; | 
|  | 35 |  | 
|  | 36 | EXPLODEXDP; | 
|  | 37 | EXPLODEYDP; | 
|  | 38 |  | 
|  | 39 | CLEARCX; | 
|  | 40 |  | 
|  | 41 | FLUSHXDP; | 
|  | 42 | FLUSHYDP; | 
|  | 43 |  | 
|  | 44 | switch (CLPAIR(xc, yc)) { | 
|  | 45 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): | 
|  | 46 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): | 
|  | 47 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): | 
|  | 48 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN): | 
|  | 49 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN): | 
|  | 50 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN): | 
|  | 51 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN): | 
|  | 52 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO): | 
|  | 53 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM): | 
|  | 54 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM): | 
|  | 55 | case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF): | 
|  | 56 | SETCX(IEEE754_INVALID_OPERATION); | 
|  | 57 | return ieee754dp_nanxcpt(ieee754dp_indef(), "add", x, y); | 
|  | 58 |  | 
|  | 59 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN): | 
|  | 60 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN): | 
|  | 61 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN): | 
|  | 62 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN): | 
|  | 63 | return y; | 
|  | 64 |  | 
|  | 65 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN): | 
|  | 66 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO): | 
|  | 67 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM): | 
|  | 68 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM): | 
|  | 69 | case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF): | 
|  | 70 | return x; | 
|  | 71 |  | 
|  | 72 |  | 
|  | 73 | /* Infinity handling | 
|  | 74 | */ | 
|  | 75 |  | 
|  | 76 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): | 
|  | 77 | if (xs == ys) | 
|  | 78 | return x; | 
|  | 79 | SETCX(IEEE754_INVALID_OPERATION); | 
|  | 80 | return ieee754dp_xcpt(ieee754dp_indef(), "add", x, y); | 
|  | 81 |  | 
|  | 82 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): | 
|  | 83 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): | 
|  | 84 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): | 
|  | 85 | return y; | 
|  | 86 |  | 
|  | 87 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): | 
|  | 88 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): | 
|  | 89 | case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): | 
|  | 90 | return x; | 
|  | 91 |  | 
|  | 92 | /* Zero handling | 
|  | 93 | */ | 
|  | 94 |  | 
|  | 95 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): | 
|  | 96 | if (xs == ys) | 
|  | 97 | return x; | 
|  | 98 | else | 
|  | 99 | return ieee754dp_zero(ieee754_csr.rm == | 
|  | 100 | IEEE754_RD); | 
|  | 101 |  | 
|  | 102 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): | 
|  | 103 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): | 
|  | 104 | return x; | 
|  | 105 |  | 
|  | 106 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): | 
|  | 107 | case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): | 
|  | 108 | return y; | 
|  | 109 |  | 
|  | 110 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): | 
|  | 111 | DPDNORMX; | 
|  | 112 |  | 
|  | 113 | /* FALL THROUGH */ | 
|  | 114 |  | 
|  | 115 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): | 
|  | 116 | DPDNORMY; | 
|  | 117 | break; | 
|  | 118 |  | 
|  | 119 | case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): | 
|  | 120 | DPDNORMX; | 
|  | 121 | break; | 
|  | 122 |  | 
|  | 123 | case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): | 
|  | 124 | break; | 
|  | 125 | } | 
|  | 126 | assert(xm & DP_HIDDEN_BIT); | 
|  | 127 | assert(ym & DP_HIDDEN_BIT); | 
|  | 128 |  | 
|  | 129 | /* provide guard,round and stick bit space */ | 
|  | 130 | xm <<= 3; | 
|  | 131 | ym <<= 3; | 
|  | 132 |  | 
|  | 133 | if (xe > ye) { | 
|  | 134 | /* have to shift y fraction right to align | 
|  | 135 | */ | 
|  | 136 | int s = xe - ye; | 
|  | 137 | ym = XDPSRS(ym, s); | 
|  | 138 | ye += s; | 
|  | 139 | } else if (ye > xe) { | 
|  | 140 | /* have to shift x fraction right to align | 
|  | 141 | */ | 
|  | 142 | int s = ye - xe; | 
|  | 143 | xm = XDPSRS(xm, s); | 
|  | 144 | xe += s; | 
|  | 145 | } | 
|  | 146 | assert(xe == ye); | 
|  | 147 | assert(xe <= DP_EMAX); | 
|  | 148 |  | 
|  | 149 | if (xs == ys) { | 
|  | 150 | /* generate 28 bit result of adding two 27 bit numbers | 
|  | 151 | * leaving result in xm,xs,xe | 
|  | 152 | */ | 
|  | 153 | xm = xm + ym; | 
|  | 154 | xe = xe; | 
|  | 155 | xs = xs; | 
|  | 156 |  | 
|  | 157 | if (xm >> (DP_MBITS + 1 + 3)) {	/* carry out */ | 
|  | 158 | xm = XDPSRS1(xm); | 
|  | 159 | xe++; | 
|  | 160 | } | 
|  | 161 | } else { | 
|  | 162 | if (xm >= ym) { | 
|  | 163 | xm = xm - ym; | 
|  | 164 | xe = xe; | 
|  | 165 | xs = xs; | 
|  | 166 | } else { | 
|  | 167 | xm = ym - xm; | 
|  | 168 | xe = xe; | 
|  | 169 | xs = ys; | 
|  | 170 | } | 
|  | 171 | if (xm == 0) | 
|  | 172 | return ieee754dp_zero(ieee754_csr.rm == | 
|  | 173 | IEEE754_RD); | 
|  | 174 |  | 
|  | 175 | /* normalize to rounding precision */ | 
|  | 176 | while ((xm >> (DP_MBITS + 3)) == 0) { | 
|  | 177 | xm <<= 1; | 
|  | 178 | xe--; | 
|  | 179 | } | 
|  | 180 |  | 
|  | 181 | } | 
|  | 182 | DPNORMRET2(xs, xe, xm, "add", x, y); | 
|  | 183 | } |