arch/mips/math-emu/ieee754dp.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 <linux/compiler.h>
  23
  24 #include "ieee754dp.h"
  25
  26 int ieee754dp_class(union ieee754dp x)
  27 {
  28         COMPXDP;
  29         EXPLODEXDP;
  30         return xc;
  31 }
  32
  33 static inline int ieee754dp_isnan(union ieee754dp x)
  34 {
  35         return ieee754_class_nan(ieee754dp_class(x));
  36 }
  37
  38 static inline int ieee754dp_issnan(union ieee754dp x)
  39 {
  40         int qbit;
  41
  42         assert(ieee754dp_isnan(x));
  43         qbit = (DPMANT(x) & DP_MBIT(DP_FBITS - 1)) == DP_MBIT(DP_FBITS - 1);
  44         return ieee754_csr.nan2008 ^ qbit;
  45 }
  46
  47
  48 /*
  49  * Raise the Invalid Operation IEEE 754 exception
  50  * and convert the signaling NaN supplied to a quiet NaN.
  51  */
  52 union ieee754dp __cold ieee754dp_nanxcpt(union ieee754dp r)
  53 {
  54         assert(ieee754dp_issnan(r));
  55
  56         ieee754_setcx(IEEE754_INVALID_OPERATION);
  57         if (ieee754_csr.nan2008)
  58                 DPMANT(r) |= DP_MBIT(DP_FBITS - 1);
  59         else
  60                 r = ieee754dp_indef();
  61
  62         return r;
  63 }
  64
  65 static u64 ieee754dp_get_rounding(int sn, u64 xm)
  66 {
  67         /* inexact must round of 3 bits
  68          */
  69         if (xm & (DP_MBIT(3) - 1)) {
  70                 switch (ieee754_csr.rm) {
  71                 case FPU_CSR_RZ:
  72                         break;
  73                 case FPU_CSR_RN:
  74                         xm += 0x3 + ((xm >> 3) & 1);
  75                         /* xm += (xm&0x8)?0x4:0x3 */
  76                         break;
  77                 case FPU_CSR_RU:        /* toward +Infinity */
  78                         if (!sn)        /* ?? */
  79                                 xm += 0x8;
  80                         break;
  81                 case FPU_CSR_RD:        /* toward -Infinity */
  82                         if (sn) /* ?? */
  83                                 xm += 0x8;
  84                         break;
  85                 }
  86         }
  87         return xm;
  88 }
  89
  90
  91 /* generate a normal/denormal number with over,under handling
  92  * sn is sign
  93  * xe is an unbiased exponent
  94  * xm is 3bit extended precision value.
  95  */
  96 union ieee754dp ieee754dp_format(int sn, int xe, u64 xm)
  97 {
  98         assert(xm);             /* we don't gen exact zeros (probably should) */
  99
 100         assert((xm >> (DP_FBITS + 1 + 3)) == 0);        /* no excess */
 101         assert(xm & (DP_HIDDEN_BIT << 3));
 102
 103         if (xe < DP_EMIN) {
 104                 /* strip lower bits */
 105                 int es = DP_EMIN - xe;
 106
 107                 if (ieee754_csr.nod) {
 108                         ieee754_setcx(IEEE754_UNDERFLOW);
 109                         ieee754_setcx(IEEE754_INEXACT);
 110
 111                         switch(ieee754_csr.rm) {
 112                         case FPU_CSR_RN:
 113                         case FPU_CSR_RZ:
 114                                 return ieee754dp_zero(sn);
 115                         case FPU_CSR_RU:    /* toward +Infinity */
 116                                 if (sn == 0)
 117                                         return ieee754dp_min(0);
 118                                 else
 119                                         return ieee754dp_zero(1);
 120                         case FPU_CSR_RD:    /* toward -Infinity */
 121                                 if (sn == 0)
 122                                         return ieee754dp_zero(0);
 123                                 else
 124                                         return ieee754dp_min(1);
 125                         }
 126                 }
 127
 128                 if (xe == DP_EMIN - 1 &&
 129                     ieee754dp_get_rounding(sn, xm) >> (DP_FBITS + 1 + 3))
 130                 {
 131                         /* Not tiny after rounding */
 132                         ieee754_setcx(IEEE754_INEXACT);
 133                         xm = ieee754dp_get_rounding(sn, xm);
 134                         xm >>= 1;
 135                         /* Clear grs bits */
 136                         xm &= ~(DP_MBIT(3) - 1);
 137                         xe++;
 138                 }
 139                 else {
 140                         /* sticky right shift es bits
 141                          */
 142                         xm = XDPSRS(xm, es);
 143                         xe += es;
 144                         assert((xm & (DP_HIDDEN_BIT << 3)) == 0);
 145                         assert(xe == DP_EMIN);
 146                 }
 147         }
 148         if (xm & (DP_MBIT(3) - 1)) {
 149                 ieee754_setcx(IEEE754_INEXACT);
 150                 if ((xm & (DP_HIDDEN_BIT << 3)) == 0) {
 151                         ieee754_setcx(IEEE754_UNDERFLOW);
 152                 }
 153
 154                 /* inexact must round of 3 bits
 155                  */
 156                 xm = ieee754dp_get_rounding(sn, xm);
 157                 /* adjust exponent for rounding add overflowing
 158                  */
 159                 if (xm >> (DP_FBITS + 3 + 1)) {
 160                         /* add causes mantissa overflow */
 161                         xm >>= 1;
 162                         xe++;
 163                 }
 164         }
 165         /* strip grs bits */
 166         xm >>= 3;
 167
 168         assert((xm >> (DP_FBITS + 1)) == 0);    /* no excess */
 169         assert(xe >= DP_EMIN);
 170
 171         if (xe > DP_EMAX) {
 172                 ieee754_setcx(IEEE754_OVERFLOW);
 173                 ieee754_setcx(IEEE754_INEXACT);
 174                 /* -O can be table indexed by (rm,sn) */
 175                 switch (ieee754_csr.rm) {
 176                 case FPU_CSR_RN:
 177                         return ieee754dp_inf(sn);
 178                 case FPU_CSR_RZ:
 179                         return ieee754dp_max(sn);
 180                 case FPU_CSR_RU:        /* toward +Infinity */
 181                         if (sn == 0)
 182                                 return ieee754dp_inf(0);
 183                         else
 184                                 return ieee754dp_max(1);
 185                 case FPU_CSR_RD:        /* toward -Infinity */
 186                         if (sn == 0)
 187                                 return ieee754dp_max(0);
 188                         else
 189                                 return ieee754dp_inf(1);
 190                 }
 191         }
 192         /* gen norm/denorm/zero */
 193
 194         if ((xm & DP_HIDDEN_BIT) == 0) {
 195                 /* we underflow (tiny/zero) */
 196                 assert(xe == DP_EMIN);
 197                 if (ieee754_csr.mx & IEEE754_UNDERFLOW)
 198                         ieee754_setcx(IEEE754_UNDERFLOW);
 199                 return builddp(sn, DP_EMIN - 1 + DP_EBIAS, xm);
 200         } else {
 201                 assert((xm >> (DP_FBITS + 1)) == 0);    /* no excess */
 202                 assert(xm & DP_HIDDEN_BIT);
 203
 204                 return builddp(sn, xe + DP_EBIAS, xm & ~DP_HIDDEN_BIT);
 205         }
 206 }