mips/math-emu/dp_add.c

   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  *
   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.,
  19  *  51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA.
  20  */
  21
  22 #include "ieee754dp.h"
  23
  24 union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y)
  25 {
  26         int s;
  27
  28         COMPXDP;
  29         COMPYDP;
  30
  31         EXPLODEXDP;
  32         EXPLODEYDP;
  33
  34         ieee754_clearcx();
  35
  36         FLUSHXDP;
  37         FLUSHYDP;
  38
  39         switch (CLPAIR(xc, yc)) {
  40         case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN):
  41         case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN):
  42         case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN):
  43         case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN):
  44         case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN):
  45                 return ieee754dp_nanxcpt(y);
  46
  47         case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN):
  48         case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN):
  49         case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO):
  50         case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM):
  51         case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM):
  52         case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF):
  53                 return ieee754dp_nanxcpt(x);
  54
  55         case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN):
  56         case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN):
  57         case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN):
  58         case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN):
  59                 return y;
  60
  61         case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN):
  62         case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO):
  63         case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM):
  64         case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM):
  65         case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF):
  66                 return x;
  67
  68
  69         /*
  70          * Infinity handling
  71          */
  72         case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF):
  73                 if (xs == ys)
  74                         return x;
  75                 ieee754_setcx(IEEE754_INVALID_OPERATION);
  76                 return ieee754dp_indef();
  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 y;
  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 x;
  87
  88         /*
  89          * Zero handling
  90          */
  91         case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO):
  92                 if (xs == ys)
  93                         return x;
  94                 else
  95                         return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD);
  96
  97         case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO):
  98         case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO):
  99                 return x;
 100
 101         case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM):
 102         case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM):
 103                 return y;
 104
 105         case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM):
 106                 DPDNORMX;
 107
 108                 /* FALL THROUGH */
 109
 110         case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM):
 111                 DPDNORMY;
 112                 break;
 113
 114         case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM):
 115                 DPDNORMX;
 116                 break;
 117
 118         case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM):
 119                 break;
 120         }
 121         assert(xm & DP_HIDDEN_BIT);
 122         assert(ym & DP_HIDDEN_BIT);
 123
 124         /*
 125          * Provide guard,round and stick bit space.
 126          */
 127         xm <<= 3;
 128         ym <<= 3;
 129
 130         if (xe > ye) {
 131                 /*
 132                  * Have to shift y fraction right to align.
 133                  */
 134                 s = xe - ye;
 135                 ym = XDPSRS(ym, s);
 136                 ye += s;
 137         } else if (ye > xe) {
 138                 /*
 139                  * Have to shift x fraction right to align.
 140                  */
 141                 s = ye - xe;
 142                 xm = XDPSRS(xm, s);
 143                 xe += s;
 144         }
 145         assert(xe == ye);
 146         assert(xe <= DP_EMAX);
 147
 148         if (xs == ys) {
 149                 /*
 150                  * Generate 28 bit result of adding two 27 bit numbers
 151                  * leaving result in xm, xs and xe.
 152                  */
 153                 xm = xm + ym;
 154
 155                 if (xm >> (DP_FBITS + 1 + 3)) { /* carry out */
 156                         xm = XDPSRS1(xm);
 157                         xe++;
 158                 }
 159         } else {
 160                 if (xm >= ym) {
 161                         xm = xm - ym;
 162                 } else {
 163                         xm = ym - xm;
 164                         xs = ys;
 165                 }
 166                 if (xm == 0)
 167                         return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD);
 168
 169                 /*
 170                  * Normalize to rounding precision.
 171                  */
 172                 while ((xm >> (DP_FBITS + 3)) == 0) {
 173                         xm <<= 1;
 174                         xe--;
 175                 }
 176         }
 177
 178         return ieee754dp_format(xs, xe, xm);
 179 }