arch/ppc/math-emu/op-common.h

   1 #define _FP_DECL(wc, X)                 \
   2   _FP_I_TYPE X##_c, X##_s, X##_e;       \
   3   _FP_FRAC_DECL_##wc(X)
   4
   5 /*
   6  * Finish truely unpacking a native fp value by classifying the kind
   7  * of fp value and normalizing both the exponent and the fraction.
   8  */
   9
  10 #define _FP_UNPACK_CANONICAL(fs, wc, X)                                 \
  11 do {                                                                    \
  12   switch (X##_e)                                                        \
  13   {                                                                     \
  14   default:                                                              \
  15     _FP_FRAC_HIGH_##wc(X) |= _FP_IMPLBIT_##fs;                          \
  16     _FP_FRAC_SLL_##wc(X, _FP_WORKBITS);                                 \
  17     X##_e -= _FP_EXPBIAS_##fs;                                          \
  18     X##_c = FP_CLS_NORMAL;                                              \
  19     break;                                                              \
  20                                                                         \
  21   case 0:                                                               \
  22     if (_FP_FRAC_ZEROP_##wc(X))                                         \
  23       X##_c = FP_CLS_ZERO;                                              \
  24     else                                                                \
  25       {                                                                 \
  26         /* a denormalized number */                                     \
  27         _FP_I_TYPE _shift;                                              \
  28         _FP_FRAC_CLZ_##wc(_shift, X);                                   \
  29         _shift -= _FP_FRACXBITS_##fs;                                   \
  30         _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS));                    \
  31         X##_e -= _FP_EXPBIAS_##fs - 1 + _shift;                         \
  32         X##_c = FP_CLS_NORMAL;                                          \
  33       }                                                                 \
  34     break;                                                              \
  35                                                                         \
  36   case _FP_EXPMAX_##fs:                                                 \
  37     if (_FP_FRAC_ZEROP_##wc(X))                                         \
  38       X##_c = FP_CLS_INF;                                               \
  39     else                                                                \
  40       /* we don't differentiate between signaling and quiet nans */     \
  41       X##_c = FP_CLS_NAN;                                               \
  42     break;                                                              \
  43   }                                                                     \
  44 } while (0)
  45
  46
  47 /*
  48  * Before packing the bits back into the native fp result, take care
  49  * of such mundane things as rounding and overflow.  Also, for some
  50  * kinds of fp values, the original parts may not have been fully
  51  * extracted -- but that is ok, we can regenerate them now.
  52  */
  53
  54 #define _FP_PACK_CANONICAL(fs, wc, X)                           \
  55 ({int __ret = 0;                                                \
  56   switch (X##_c)                                                \
  57   {                                                             \
  58   case FP_CLS_NORMAL:                                           \
  59     X##_e += _FP_EXPBIAS_##fs;                                  \
  60     if (X##_e > 0)                                              \
  61       {                                                         \
  62         __ret |= _FP_ROUND(wc, X);                              \
  63         if (_FP_FRAC_OVERP_##wc(fs, X))                         \
  64           {                                                     \
  65             _FP_FRAC_SRL_##wc(X, (_FP_WORKBITS+1));             \
  66             X##_e++;                                            \
  67           }                                                     \
  68         else                                                    \
  69           _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);                   \
  70         if (X##_e >= _FP_EXPMAX_##fs)                           \
  71           {                                                     \
  72             /* overflow to infinity */                          \
  73             X##_e = _FP_EXPMAX_##fs;                            \
  74             _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);            \
  75             __ret |= EFLAG_OVERFLOW;                            \
  76           }                                                     \
  77       }                                                         \
  78     else                                                        \
  79       {                                                         \
  80         /* we've got a denormalized number */                   \
  81         X##_e = -X##_e + 1;                                     \
  82         if (X##_e <= _FP_WFRACBITS_##fs)                        \
  83           {                                                     \
  84             _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs);    \
  85             __ret |= _FP_ROUND(wc, X);                          \
  86             _FP_FRAC_SLL_##wc(X, 1);                            \
  87             if (_FP_FRAC_OVERP_##wc(fs, X))                     \
  88               {                                                 \
  89                 X##_e = 1;                                      \
  90                 _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);        \
  91               }                                                 \
  92             else                                                \
  93               {                                                 \
  94                 X##_e = 0;                                      \
  95                 _FP_FRAC_SRL_##wc(X, _FP_WORKBITS+1);           \
  96                 __ret |= EFLAG_UNDERFLOW;                       \
  97               }                                                 \
  98           }                                                     \
  99         else                                                    \
 100           {                                                     \
 101             /* underflow to zero */                             \
 102             X##_e = 0;                                          \
 103             _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);            \
 104             __ret |= EFLAG_UNDERFLOW;                           \
 105           }                                                     \
 106       }                                                         \
 107     break;                                                      \
 108                                                                 \
 109   case FP_CLS_ZERO:                                             \
 110     X##_e = 0;                                                  \
 111     _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
 112     break;                                                      \
 113                                                                 \
 114   case FP_CLS_INF:                                              \
 115     X##_e = _FP_EXPMAX_##fs;                                    \
 116     _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
 117     break;                                                      \
 118                                                                 \
 119   case FP_CLS_NAN:                                              \
 120     X##_e = _FP_EXPMAX_##fs;                                    \
 121     if (!_FP_KEEPNANFRACP)                                      \
 122       {                                                         \
 123         _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs);                 \
 124         X##_s = 0;                                              \
 125       }                                                         \
 126     else                                                        \
 127       _FP_FRAC_HIGH_##wc(X) |= _FP_QNANBIT_##fs;                \
 128     break;                                                      \
 129   }                                                             \
 130   __ret;                                                        \
 131 })
 132
 133
 134 /*
 135  * Main addition routine.  The input values should be cooked.
 136  */
 137
 138 #define _FP_ADD(fs, wc, R, X, Y)                                             \
 139 do {                                                                         \
 140   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                                     \
 141   {                                                                          \
 142   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):                         \
 143     {                                                                        \
 144       /* shift the smaller number so that its exponent matches the larger */ \
 145       _FP_I_TYPE diff = X##_e - Y##_e;                                       \
 146                                                                              \
 147       if (diff < 0)                                                          \
 148         {                                                                    \
 149           diff = -diff;                                                      \
 150           if (diff <= _FP_WFRACBITS_##fs)                                    \
 151             _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs);                  \
 152           else if (!_FP_FRAC_ZEROP_##wc(X))                                  \
 153             _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);                          \
 154           else                                                               \
 155             _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                         \
 156           R##_e = Y##_e;                                                     \
 157         }                                                                    \
 158       else                                                                   \
 159         {                                                                    \
 160           if (diff > 0)                                                      \
 161             {                                                                \
 162               if (diff <= _FP_WFRACBITS_##fs)                                \
 163                 _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs);              \
 164               else if (!_FP_FRAC_ZEROP_##wc(Y))                              \
 165                 _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc);                      \
 166               else                                                           \
 167                 _FP_FRAC_SET_##wc(Y, _FP_ZEROFRAC_##wc);                     \
 168             }                                                                \
 169           R##_e = X##_e;                                                     \
 170         }                                                                    \
 171                                                                              \
 172       R##_c = FP_CLS_NORMAL;                                                 \
 173                                                                              \
 174       if (X##_s == Y##_s)                                                    \
 175         {                                                                    \
 176           R##_s = X##_s;                                                     \
 177           _FP_FRAC_ADD_##wc(R, X, Y);                                        \
 178           if (_FP_FRAC_OVERP_##wc(fs, R))                                    \
 179             {                                                                \
 180               _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);                   \
 181               R##_e++;                                                       \
 182             }                                                                \
 183         }                                                                    \
 184       else                                                                   \
 185         {                                                                    \
 186           R##_s = X##_s;                                                     \
 187           _FP_FRAC_SUB_##wc(R, X, Y);                                        \
 188           if (_FP_FRAC_ZEROP_##wc(R))                                        \
 189             {                                                                \
 190               /* return an exact zero */                                     \
 191               if (FP_ROUNDMODE == FP_RND_MINF)                               \
 192                 R##_s |= Y##_s;                                              \
 193               else                                                           \
 194                 R##_s &= Y##_s;                                              \
 195               R##_c = FP_CLS_ZERO;                                           \
 196             }                                                                \
 197           else                                                               \
 198             {                                                                \
 199               if (_FP_FRAC_NEGP_##wc(R))                                     \
 200                 {                                                            \
 201                   _FP_FRAC_SUB_##wc(R, Y, X);                                \
 202                   R##_s = Y##_s;                                             \
 203                 }                                                            \
 204                                                                              \
 205               /* renormalize after subtraction */                            \
 206               _FP_FRAC_CLZ_##wc(diff, R);                                    \
 207               diff -= _FP_WFRACXBITS_##fs;                                   \
 208               if (diff)                                                      \
 209                 {                                                            \
 210                   R##_e -= diff;                                             \
 211                   _FP_FRAC_SLL_##wc(R, diff);                                \
 212                 }                                                            \
 213             }                                                                \
 214         }                                                                    \
 215       break;                                                                 \
 216     }                                                                        \
 217                                                                              \
 218   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):                               \
 219     _FP_CHOOSENAN(fs, wc, R, X, Y);                                          \
 220     break;                                                                   \
 221                                                                              \
 222   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):                           \
 223     R##_e = X##_e;                                                           \
 224   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):                            \
 225   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):                               \
 226   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):                              \
 227     _FP_FRAC_COPY_##wc(R, X);                                                \
 228     R##_s = X##_s;                                                           \
 229     R##_c = X##_c;                                                           \
 230     break;                                                                   \
 231                                                                              \
 232   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):                           \
 233     R##_e = Y##_e;                                                           \
 234   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):                            \
 235   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):                               \
 236   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):                              \
 237     _FP_FRAC_COPY_##wc(R, Y);                                                \
 238     R##_s = Y##_s;                                                           \
 239     R##_c = Y##_c;                                                           \
 240     break;                                                                   \
 241                                                                              \
 242   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):                               \
 243     if (X##_s != Y##_s)                                                      \
 244       {                                                                      \
 245         /* +INF + -INF => NAN */                                             \
 246         _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                              \
 247         R##_s = X##_s ^ Y##_s;                                               \
 248         R##_c = FP_CLS_NAN;                                                  \
 249         break;                                                               \
 250       }                                                                      \
 251     /* FALLTHRU */                                                           \
 252                                                                              \
 253   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):                            \
 254   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):                              \
 255     R##_s = X##_s;                                                           \
 256     R##_c = FP_CLS_INF;                                                      \
 257     break;                                                                   \
 258                                                                              \
 259   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):                            \
 260   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):                              \
 261     R##_s = Y##_s;                                                           \
 262     R##_c = FP_CLS_INF;                                                      \
 263     break;                                                                   \
 264                                                                              \
 265   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):                             \
 266     /* make sure the sign is correct */                                      \
 267     if (FP_ROUNDMODE == FP_RND_MINF)                                         \
 268       R##_s = X##_s | Y##_s;                                                 \
 269     else                                                                     \
 270       R##_s = X##_s & Y##_s;                                                 \
 271     R##_c = FP_CLS_ZERO;                                                     \
 272     break;                                                                   \
 273                                                                              \
 274   default:                                                                   \
 275     abort();                                                                 \
 276   }                                                                          \
 277 } while (0)
 278
 279
 280 /*
 281  * Main negation routine.  FIXME -- when we care about setting exception
 282  * bits reliably, this will not do.  We should examine all of the fp classes.
 283  */
 284
 285 #define _FP_NEG(fs, wc, R, X)           \
 286   do {                                  \
 287     _FP_FRAC_COPY_##wc(R, X);           \
 288     R##_c = X##_c;                      \
 289     R##_e = X##_e;                      \
 290     R##_s = 1 ^ X##_s;                  \
 291   } while (0)
 292
 293
 294 /*
 295  * Main multiplication routine.  The input values should be cooked.
 296  */
 297
 298 #define _FP_MUL(fs, wc, R, X, Y)                        \
 299 do {                                                    \
 300   R##_s = X##_s ^ Y##_s;                                \
 301   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
 302   {                                                     \
 303   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
 304     R##_c = FP_CLS_NORMAL;                              \
 305     R##_e = X##_e + Y##_e + 1;                          \
 306                                                         \
 307     _FP_MUL_MEAT_##fs(R,X,Y);                           \
 308                                                         \
 309     if (_FP_FRAC_OVERP_##wc(fs, R))                     \
 310       _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);      \
 311     else                                                \
 312       R##_e--;                                          \
 313     break;                                              \
 314                                                         \
 315   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
 316     _FP_CHOOSENAN(fs, wc, R, X, Y);                     \
 317     break;                                              \
 318                                                         \
 319   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
 320   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
 321   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
 322     R##_s = X##_s;                                      \
 323                                                         \
 324   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
 325   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
 326   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
 327   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
 328     _FP_FRAC_COPY_##wc(R, X);                           \
 329     R##_c = X##_c;                                      \
 330     break;                                              \
 331                                                         \
 332   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
 333   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
 334   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
 335     R##_s = Y##_s;                                      \
 336                                                         \
 337   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
 338   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
 339     _FP_FRAC_COPY_##wc(R, Y);                           \
 340     R##_c = Y##_c;                                      \
 341     break;                                              \
 342                                                         \
 343   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
 344   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
 345     R##_c = FP_CLS_NAN;                                 \
 346     _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
 347     break;                                              \
 348                                                         \
 349   default:                                              \
 350     abort();                                            \
 351   }                                                     \
 352 } while (0)
 353
 354
 355 /*
 356  * Main division routine.  The input values should be cooked.
 357  */
 358
 359 #define _FP_DIV(fs, wc, R, X, Y)                        \
 360 do {                                                    \
 361   R##_s = X##_s ^ Y##_s;                                \
 362   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
 363   {                                                     \
 364   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
 365     R##_c = FP_CLS_NORMAL;                              \
 366     R##_e = X##_e - Y##_e;                              \
 367                                                         \
 368     _FP_DIV_MEAT_##fs(R,X,Y);                           \
 369     break;                                              \
 370                                                         \
 371   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
 372     _FP_CHOOSENAN(fs, wc, R, X, Y);                     \
 373     break;                                              \
 374                                                         \
 375   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
 376   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
 377   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
 378     R##_s = X##_s;                                      \
 379     _FP_FRAC_COPY_##wc(R, X);                           \
 380     R##_c = X##_c;                                      \
 381     break;                                              \
 382                                                         \
 383   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
 384   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
 385   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
 386     R##_s = Y##_s;                                      \
 387     _FP_FRAC_COPY_##wc(R, Y);                           \
 388     R##_c = Y##_c;                                      \
 389     break;                                              \
 390                                                         \
 391   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
 392   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
 393   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
 394     R##_c = FP_CLS_ZERO;                                \
 395     break;                                              \
 396                                                         \
 397   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
 398   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
 399   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
 400     R##_c = FP_CLS_INF;                                 \
 401     break;                                              \
 402                                                         \
 403   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
 404   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
 405     R##_c = FP_CLS_NAN;                                 \
 406     _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
 407     break;                                              \
 408                                                         \
 409   default:                                              \
 410     abort();                                            \
 411   }                                                     \
 412 } while (0)
 413
 414
 415 /*
 416  * Main differential comparison routine.  The inputs should be raw not
 417  * cooked.  The return is -1,0,1 for normal values, 2 otherwise.
 418  */
 419
 420 #define _FP_CMP(fs, wc, ret, X, Y, un)                                  \
 421   do {                                                                  \
 422     /* NANs are unordered */                                            \
 423     if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))           \
 424         || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))       \
 425       {                                                                 \
 426         ret = un;                                                       \
 427       }                                                                 \
 428     else                                                                \
 429       {                                                                 \
 430         int __x_zero = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0;      \
 431         int __y_zero = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0;      \
 432                                                                         \
 433         if (__x_zero && __y_zero)                                       \
 434           ret = 0;                                                      \
 435         else if (__x_zero)                                              \
 436           ret = Y##_s ? 1 : -1;                                         \
 437         else if (__y_zero)                                              \
 438           ret = X##_s ? -1 : 1;                                         \
 439         else if (X##_s != Y##_s)                                        \
 440           ret = X##_s ? -1 : 1;                                         \
 441         else if (X##_e > Y##_e)                                         \
 442           ret = X##_s ? -1 : 1;                                         \
 443         else if (X##_e < Y##_e)                                         \
 444           ret = X##_s ? 1 : -1;                                         \
 445         else if (_FP_FRAC_GT_##wc(X, Y))                                \
 446           ret = X##_s ? -1 : 1;                                         \
 447         else if (_FP_FRAC_GT_##wc(Y, X))                                \
 448           ret = X##_s ? 1 : -1;                                         \
 449         else                                                            \
 450           ret = 0;                                                      \
 451       }                                                                 \
 452   } while (0)
 453
 454
 455 /* Simplification for strict equality.  */
 456
 457 #define _FP_CMP_EQ(fs, wc, ret, X, Y)                                     \
 458   do {                                                                    \
 459     /* NANs are unordered */                                              \
 460     if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))             \
 461         || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))         \
 462       {                                                                   \
 463         ret = 1;                                                          \
 464       }                                                                   \
 465     else                                                                  \
 466       {                                                                   \
 467         ret = !(X##_e == Y##_e                                            \
 468                 && _FP_FRAC_EQ_##wc(X, Y)                                 \
 469                 && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \
 470       }                                                                   \
 471   } while (0)
 472
 473 /*
 474  * Main square root routine.  The input value should be cooked.
 475  */
 476
 477 #define _FP_SQRT(fs, wc, R, X)                                          \
 478 do {                                                                    \
 479     _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S);                       \
 480     _FP_W_TYPE q;                                                       \
 481     switch (X##_c)                                                      \
 482     {                                                                   \
 483     case FP_CLS_NAN:                                                    \
 484         R##_s = 0;                                                      \
 485         R##_c = FP_CLS_NAN;                                             \
 486         _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                        \
 487         break;                                                          \
 488     case FP_CLS_INF:                                                    \
 489         if (X##_s)                                                      \
 490           {                                                             \
 491             R##_s = 0;                                                  \
 492             R##_c = FP_CLS_NAN; /* sNAN */                              \
 493           }                                                             \
 494         else                                                            \
 495           {                                                             \
 496             R##_s = 0;                                                  \
 497             R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */                 \
 498           }                                                             \
 499         break;                                                          \
 500     case FP_CLS_ZERO:                                                   \
 501         R##_s = X##_s;                                                  \
 502         R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */                      \
 503         break;                                                          \
 504     case FP_CLS_NORMAL:                                                 \
 505         R##_s = 0;                                                      \
 506         if (X##_s)                                                      \
 507           {                                                             \
 508             R##_c = FP_CLS_NAN; /* sNAN */                              \
 509             break;                                                      \
 510           }                                                             \
 511         R##_c = FP_CLS_NORMAL;                                          \
 512         if (X##_e & 1)                                                  \
 513           _FP_FRAC_SLL_##wc(X, 1);                                      \
 514         R##_e = X##_e >> 1;                                             \
 515         _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc);                        \
 516         _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc);                        \
 517         q = _FP_OVERFLOW_##fs;                                          \
 518         _FP_FRAC_SLL_##wc(X, 1);                                        \
 519         _FP_SQRT_MEAT_##wc(R, S, T, X, q);                              \
 520         _FP_FRAC_SRL_##wc(R, 1);                                        \
 521     }                                                                   \
 522   } while (0)
 523
 524 /*
 525  * Convert from FP to integer
 526  */
 527
 528 /* "When a NaN, infinity, large positive argument >= 2147483648.0, or
 529  * large negative argument <= -2147483649.0 is converted to an integer,
 530  * the invalid_current bit...should be set and fp_exception_IEEE_754 should
 531  * be raised. If the floating point invalid trap is disabled, no trap occurs
 532  * and a numerical result is generated: if the sign bit of the operand
 533  * is 0, the result is 2147483647; if the sign bit of the operand is 1,
 534  * the result is -2147483648."
 535  * Similarly for conversion to extended ints, except that the boundaries
 536  * are >= 2^63, <= -(2^63 + 1), and the results are 2^63 + 1 for s=0 and
 537  * -2^63 for s=1.
 538  * -- SPARC Architecture Manual V9, Appendix B, which specifies how
 539  * SPARCs resolve implementation dependencies in the IEEE-754 spec.
 540  * I don't believe that the code below follows this. I'm not even sure
 541  * it's right!
 542  * It doesn't cope with needing to convert to an n bit integer when there
 543  * is no n bit integer type. Fortunately gcc provides long long so this
 544  * isn't a problem for sparc32.
 545  * I have, however, fixed its NaN handling to conform as above.
 546  *         -- PMM 02/1998
 547  * NB: rsigned is not 'is r declared signed?' but 'should the value stored
 548  * in r be signed or unsigned?'. r is always(?) declared unsigned.
 549  * Comments below are mine, BTW -- PMM
 550  */
 551 #define _FP_TO_INT(fs, wc, r, X, rsize, rsigned)                        \
 552   do {                                                                  \
 553     switch (X##_c)                                                      \
 554       {                                                                 \
 555       case FP_CLS_NORMAL:                                               \
 556         if (X##_e < 0)                                                  \
 557           {                                                             \
 558           /* case FP_CLS_NAN: see above! */                             \
 559           case FP_CLS_ZERO:                                             \
 560             r = 0;                                                      \
 561           }                                                             \
 562         else if (X##_e >= rsize - (rsigned != 0))                       \
 563           {     /* overflow */                                          \
 564           case FP_CLS_NAN:                                              \
 565           case FP_CLS_INF:                                              \
 566             if (rsigned)                                                \
 567               {                                                         \
 568                 r = 1;                                                  \
 569                 r <<= rsize - 1;                                        \
 570                 r -= 1 - X##_s;                                         \
 571               }                                                         \
 572             else                                                        \
 573               {                                                         \
 574                 r = 0;                                                  \
 575                 if (!X##_s)                                             \
 576                   r = ~r;                                               \
 577               }                                                         \
 578           }                                                             \
 579         else                                                            \
 580           {                                                             \
 581             if (_FP_W_TYPE_SIZE*wc < rsize)                             \
 582               {                                                         \
 583                 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                    \
 584                 r <<= X##_e - _FP_WFRACBITS_##fs;                       \
 585               }                                                         \
 586             else                                                        \
 587               {                                                         \
 588                 if (X##_e >= _FP_WFRACBITS_##fs)                        \
 589                   _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1));\
 590                 else                                                    \
 591                   _FP_FRAC_SRL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1));\
 592                 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                    \
 593               }                                                         \
 594             if (rsigned && X##_s)                                       \
 595               r = -r;                                                   \
 596           }                                                             \
 597         break;                                                          \
 598       }                                                                 \
 599   } while (0)
 600
 601 #define _FP_FROM_INT(fs, wc, X, r, rsize, rtype)                        \
 602   do {                                                                  \
 603     if (r)                                                              \
 604       {                                                                 \
 605         X##_c = FP_CLS_NORMAL;                                          \
 606                                                                         \
 607         if ((X##_s = (r < 0)))                                          \
 608           r = -r;                                                       \
 609         /* Note that `r' is now considered unsigned, so we don't have   \
 610            to worry about the single signed overflow case.  */          \
 611                                                                         \
 612         if (rsize <= _FP_W_TYPE_SIZE)                                   \
 613           __FP_CLZ(X##_e, r);                                           \
 614         else                                                            \
 615           __FP_CLZ_2(X##_e, (_FP_W_TYPE)(r >> _FP_W_TYPE_SIZE),         \
 616                      (_FP_W_TYPE)r);                                    \
 617         if (rsize < _FP_W_TYPE_SIZE)                                    \
 618                 X##_e -= (_FP_W_TYPE_SIZE - rsize);                     \
 619         X##_e = rsize - X##_e - 1;                                      \
 620                                                                         \
 621         if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e)    \
 622           __FP_FRAC_SRS_1(r, (X##_e - _FP_WFRACBITS_##fs), rsize);      \
 623         r &= ~((_FP_W_TYPE)1 << X##_e);                                 \
 624         _FP_FRAC_DISASSEMBLE_##wc(X, ((unsigned rtype)r), rsize);       \
 625         _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1));         \
 626       }                                                                 \
 627     else                                                                \
 628       {                                                                 \
 629         X##_c = FP_CLS_ZERO, X##_s = 0;                                 \
 630       }                                                                 \
 631   } while (0)
 632
 633
 634 #define FP_CONV(dfs,sfs,dwc,swc,D,S)                    \
 635   do {                                                  \
 636     _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S);        \
 637     D##_e = S##_e;                                      \
 638     D##_c = S##_c;                                      \
 639     D##_s = S##_s;                                      \
 640   } while (0)
 641
 642 /*
 643  * Helper primitives.
 644  */
 645
 646 /* Count leading zeros in a word.  */
 647
 648 #ifndef __FP_CLZ
 649 #if _FP_W_TYPE_SIZE < 64
 650 /* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */
 651 #define __FP_CLZ(r, x)                          \
 652   do {                                          \
 653     _FP_W_TYPE _t = (x);                        \
 654     r = _FP_W_TYPE_SIZE - 1;                    \
 655     if (_t > 0xffff) r -= 16;                   \
 656     if (_t > 0xffff) _t >>= 16;                 \
 657     if (_t > 0xff) r -= 8;                      \
 658     if (_t > 0xff) _t >>= 8;                    \
 659     if (_t & 0xf0) r -= 4;                      \
 660     if (_t & 0xf0) _t >>= 4;                    \
 661     if (_t & 0xc) r -= 2;                       \
 662     if (_t & 0xc) _t >>= 2;                     \
 663     if (_t & 0x2) r -= 1;                       \
 664   } while (0)
 665 #else /* not _FP_W_TYPE_SIZE < 64 */
 666 #define __FP_CLZ(r, x)                          \
 667   do {                                          \
 668     _FP_W_TYPE _t = (x);                        \
 669     r = _FP_W_TYPE_SIZE - 1;                    \
 670     if (_t > 0xffffffff) r -= 32;               \
 671     if (_t > 0xffffffff) _t >>= 32;             \
 672     if (_t > 0xffff) r -= 16;                   \
 673     if (_t > 0xffff) _t >>= 16;                 \
 674     if (_t > 0xff) r -= 8;                      \
 675     if (_t > 0xff) _t >>= 8;                    \
 676     if (_t & 0xf0) r -= 4;                      \
 677     if (_t & 0xf0) _t >>= 4;                    \
 678     if (_t & 0xc) r -= 2;                       \
 679     if (_t & 0xc) _t >>= 2;                     \
 680     if (_t & 0x2) r -= 1;                       \
 681   } while (0)
 682 #endif /* not _FP_W_TYPE_SIZE < 64 */
 683 #endif /* ndef __FP_CLZ */
 684
 685 #define _FP_DIV_HELP_imm(q, r, n, d)            \
 686   do {                                          \
 687     q = n / d, r = n % d;                       \
 688   } while (0)
 689