arch/mips/math-emu/ieee754sp.c

   1 /* IEEE754 floating point arithmetic
   2  * single precision
   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 "ieee754sp.h"
  25
  26 int ieee754sp_class(union ieee754sp x)
  27 {
  28         COMPXSP;
  29         EXPLODEXSP;
  30         return xc;
  31 }
  32
  33 static inline int ieee754sp_isnan(union ieee754sp x)
  34 {
  35         return ieee754_class_nan(ieee754sp_class(x));
  36 }
  37
  38 static inline int ieee754sp_issnan(union ieee754sp x)
  39 {
  40         int qbit;
  41
  42         assert(ieee754sp_isnan(x));
  43         qbit = (SPMANT(x) & SP_MBIT(SP_FBITS - 1)) == SP_MBIT(SP_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 ieee754sp __cold ieee754sp_nanxcpt(union ieee754sp r)
  53 {
  54         assert(ieee754sp_issnan(r));
  55
  56         ieee754_setcx(IEEE754_INVALID_OPERATION);
  57         if (ieee754_csr.nan2008) {
  58                 SPMANT(r) |= SP_MBIT(SP_FBITS - 1);
  59         } else {
  60                 SPMANT(r) &= ~SP_MBIT(SP_FBITS - 1);
  61                 if (!ieee754sp_isnan(r))
  62                         SPMANT(r) |= SP_MBIT(SP_FBITS - 2);
  63         }
  64
  65         return r;
  66 }
  67
  68 static unsigned ieee754sp_get_rounding(int sn, unsigned xm)
  69 {
  70         /* inexact must round of 3 bits
  71          */
  72         if (xm & (SP_MBIT(3) - 1)) {
  73                 switch (ieee754_csr.rm) {
  74                 case FPU_CSR_RZ:
  75                         break;
  76                 case FPU_CSR_RN:
  77                         xm += 0x3 + ((xm >> 3) & 1);
  78                         /* xm += (xm&0x8)?0x4:0x3 */
  79                         break;
  80                 case FPU_CSR_RU:        /* toward +Infinity */
  81                         if (!sn)        /* ?? */
  82                                 xm += 0x8;
  83                         break;
  84                 case FPU_CSR_RD:        /* toward -Infinity */
  85                         if (sn) /* ?? */
  86                                 xm += 0x8;
  87                         break;
  88                 }
  89         }
  90         return xm;
  91 }
  92
  93
  94 /* generate a normal/denormal number with over,under handling
  95  * sn is sign
  96  * xe is an unbiased exponent
  97  * xm is 3bit extended precision value.
  98  */
  99 union ieee754sp ieee754sp_format(int sn, int xe, unsigned xm)
 100 {
 101         assert(xm);             /* we don't gen exact zeros (probably should) */
 102
 103         assert((xm >> (SP_FBITS + 1 + 3)) == 0);        /* no excess */
 104         assert(xm & (SP_HIDDEN_BIT << 3));
 105
 106         if (xe < SP_EMIN) {
 107                 /* strip lower bits */
 108                 int es = SP_EMIN - xe;
 109
 110                 if (ieee754_csr.nod) {
 111                         ieee754_setcx(IEEE754_UNDERFLOW);
 112                         ieee754_setcx(IEEE754_INEXACT);
 113
 114                         switch(ieee754_csr.rm) {
 115                         case FPU_CSR_RN:
 116                         case FPU_CSR_RZ:
 117                                 return ieee754sp_zero(sn);
 118                         case FPU_CSR_RU:      /* toward +Infinity */
 119                                 if (sn == 0)
 120                                         return ieee754sp_min(0);
 121                                 else
 122                                         return ieee754sp_zero(1);
 123                         case FPU_CSR_RD:      /* toward -Infinity */
 124                                 if (sn == 0)
 125                                         return ieee754sp_zero(0);
 126                                 else
 127                                         return ieee754sp_min(1);
 128                         }
 129                 }
 130
 131                 if (xe == SP_EMIN - 1 &&
 132                     ieee754sp_get_rounding(sn, xm) >> (SP_FBITS + 1 + 3))
 133                 {
 134                         /* Not tiny after rounding */
 135                         ieee754_setcx(IEEE754_INEXACT);
 136                         xm = ieee754sp_get_rounding(sn, xm);
 137                         xm >>= 1;
 138                         /* Clear grs bits */
 139                         xm &= ~(SP_MBIT(3) - 1);
 140                         xe++;
 141                 } else {
 142                         /* sticky right shift es bits
 143                          */
 144                         xm = XSPSRS(xm, es);
 145                         xe += es;
 146                         assert((xm & (SP_HIDDEN_BIT << 3)) == 0);
 147                         assert(xe == SP_EMIN);
 148                 }
 149         }
 150         if (xm & (SP_MBIT(3) - 1)) {
 151                 ieee754_setcx(IEEE754_INEXACT);
 152                 if ((xm & (SP_HIDDEN_BIT << 3)) == 0) {
 153                         ieee754_setcx(IEEE754_UNDERFLOW);
 154                 }
 155
 156                 /* inexact must round of 3 bits
 157                  */
 158                 xm = ieee754sp_get_rounding(sn, xm);
 159                 /* adjust exponent for rounding add overflowing
 160                  */
 161                 if (xm >> (SP_FBITS + 1 + 3)) {
 162                         /* add causes mantissa overflow */
 163                         xm >>= 1;
 164                         xe++;
 165                 }
 166         }
 167         /* strip grs bits */
 168         xm >>= 3;
 169
 170         assert((xm >> (SP_FBITS + 1)) == 0);    /* no excess */
 171         assert(xe >= SP_EMIN);
 172
 173         if (xe > SP_EMAX) {
 174                 ieee754_setcx(IEEE754_OVERFLOW);
 175                 ieee754_setcx(IEEE754_INEXACT);
 176                 /* -O can be table indexed by (rm,sn) */
 177                 switch (ieee754_csr.rm) {
 178                 case FPU_CSR_RN:
 179                         return ieee754sp_inf(sn);
 180                 case FPU_CSR_RZ:
 181                         return ieee754sp_max(sn);
 182                 case FPU_CSR_RU:        /* toward +Infinity */
 183                         if (sn == 0)
 184                                 return ieee754sp_inf(0);
 185                         else
 186                                 return ieee754sp_max(1);
 187                 case FPU_CSR_RD:        /* toward -Infinity */
 188                         if (sn == 0)
 189                                 return ieee754sp_max(0);
 190                         else
 191                                 return ieee754sp_inf(1);
 192                 }
 193         }
 194         /* gen norm/denorm/zero */
 195
 196         if ((xm & SP_HIDDEN_BIT) == 0) {
 197                 /* we underflow (tiny/zero) */
 198                 assert(xe == SP_EMIN);
 199                 if (ieee754_csr.mx & IEEE754_UNDERFLOW)
 200                         ieee754_setcx(IEEE754_UNDERFLOW);
 201                 return buildsp(sn, SP_EMIN - 1 + SP_EBIAS, xm);
 202         } else {
 203                 assert((xm >> (SP_FBITS + 1)) == 0);    /* no excess */
 204                 assert(xm & SP_HIDDEN_BIT);
 205
 206                 return buildsp(sn, xe + SP_EBIAS, xm & ~SP_HIDDEN_BIT);
 207         }
 208 }