l4/pkg/linux-26-headers/include/math-emu/op-common.h

   1 /* Software floating-point emulation. Common operations.
   2    Copyright (C) 1997,1998,1999 Free Software Foundation, Inc.
   3    This file is part of the GNU C Library.
   4    Contributed by Richard Henderson (rth@cygnus.com),
   5                   Jakub Jelinek (jj@ultra.linux.cz),
   6                   David S. Miller (davem@redhat.com) and
   7                   Peter Maydell (pmaydell@chiark.greenend.org.uk).
   8
   9    The GNU C Library is free software; you can redistribute it and/or
  10    modify it under the terms of the GNU Library General Public License as
  11    published by the Free Software Foundation; either version 2 of the
  12    License, or (at your option) any later version.
  13
  14    The GNU C Library is distributed in the hope that it will be useful,
  15    but WITHOUT ANY WARRANTY; without even the implied warranty of
  16    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  17    Library General Public License for more details.
  18
  19    You should have received a copy of the GNU Library General Public
  20    License along with the GNU C Library; see the file COPYING.LIB.  If
  21    not, write to the Free Software Foundation, Inc.,
  22    59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.  */
  23
  24 #ifndef __MATH_EMU_OP_COMMON_H__
  25 #define __MATH_EMU_OP_COMMON_H__
  26
  27 #define _FP_DECL(wc, X)                 \
  28   _FP_I_TYPE X##_c=0, X##_s=0, X##_e=0; \
  29   _FP_FRAC_DECL_##wc(X)
  30
  31 /*
  32  * Finish truely unpacking a native fp value by classifying the kind
  33  * of fp value and normalizing both the exponent and the fraction.
  34  */
  35
  36 #define _FP_UNPACK_CANONICAL(fs, wc, X)                                 \
  37 do {                                                                    \
  38   switch (X##_e)                                                        \
  39   {                                                                     \
  40   default:                                                              \
  41     _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_IMPLBIT_##fs;                      \
  42     _FP_FRAC_SLL_##wc(X, _FP_WORKBITS);                                 \
  43     X##_e -= _FP_EXPBIAS_##fs;                                          \
  44     X##_c = FP_CLS_NORMAL;                                              \
  45     break;                                                              \
  46                                                                         \
  47   case 0:                                                               \
  48     if (_FP_FRAC_ZEROP_##wc(X))                                         \
  49       X##_c = FP_CLS_ZERO;                                              \
  50     else                                                                \
  51       {                                                                 \
  52         /* a denormalized number */                                     \
  53         _FP_I_TYPE _shift;                                              \
  54         _FP_FRAC_CLZ_##wc(_shift, X);                                   \
  55         _shift -= _FP_FRACXBITS_##fs;                                   \
  56         _FP_FRAC_SLL_##wc(X, (_shift+_FP_WORKBITS));                    \
  57         X##_e -= _FP_EXPBIAS_##fs - 1 + _shift;                         \
  58         X##_c = FP_CLS_NORMAL;                                          \
  59         FP_SET_EXCEPTION(FP_EX_DENORM);                                 \
  60         if (FP_DENORM_ZERO)                                             \
  61           {                                                             \
  62             FP_SET_EXCEPTION(FP_EX_INEXACT);                            \
  63             X##_c = FP_CLS_ZERO;                                        \
  64           }                                                             \
  65       }                                                                 \
  66     break;                                                              \
  67                                                                         \
  68   case _FP_EXPMAX_##fs:                                                 \
  69     if (_FP_FRAC_ZEROP_##wc(X))                                         \
  70       X##_c = FP_CLS_INF;                                               \
  71     else                                                                \
  72       {                                                                 \
  73         X##_c = FP_CLS_NAN;                                             \
  74         /* Check for signaling NaN */                                   \
  75         if (!(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs))            \
  76           FP_SET_EXCEPTION(FP_EX_INVALID);                              \
  77       }                                                                 \
  78     break;                                                              \
  79   }                                                                     \
  80 } while (0)
  81
  82 /*
  83  * Before packing the bits back into the native fp result, take care
  84  * of such mundane things as rounding and overflow.  Also, for some
  85  * kinds of fp values, the original parts may not have been fully
  86  * extracted -- but that is ok, we can regenerate them now.
  87  */
  88
  89 #define _FP_PACK_CANONICAL(fs, wc, X)                           \
  90 do {                                                            \
  91   switch (X##_c)                                                \
  92   {                                                             \
  93   case FP_CLS_NORMAL:                                           \
  94     X##_e += _FP_EXPBIAS_##fs;                                  \
  95     if (X##_e > 0)                                              \
  96       {                                                         \
  97         _FP_ROUND(wc, X);                                       \
  98         if (_FP_FRAC_OVERP_##wc(fs, X))                         \
  99           {                                                     \
 100             _FP_FRAC_CLEAR_OVERP_##wc(fs, X);                   \
 101             X##_e++;                                            \
 102           }                                                     \
 103         _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);                     \
 104         if (X##_e >= _FP_EXPMAX_##fs)                           \
 105           {                                                     \
 106             /* overflow */                                      \
 107             switch (FP_ROUNDMODE)                               \
 108               {                                                 \
 109               case FP_RND_NEAREST:                              \
 110                 X##_c = FP_CLS_INF;                             \
 111                 break;                                          \
 112               case FP_RND_PINF:                                 \
 113                 if (!X##_s) X##_c = FP_CLS_INF;                 \
 114                 break;                                          \
 115               case FP_RND_MINF:                                 \
 116                 if (X##_s) X##_c = FP_CLS_INF;                  \
 117                 break;                                          \
 118               }                                                 \
 119             if (X##_c == FP_CLS_INF)                            \
 120               {                                                 \
 121                 /* Overflow to infinity */                      \
 122                 X##_e = _FP_EXPMAX_##fs;                        \
 123                 _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);        \
 124               }                                                 \
 125             else                                                \
 126               {                                                 \
 127                 /* Overflow to maximum normal */                \
 128                 X##_e = _FP_EXPMAX_##fs - 1;                    \
 129                 _FP_FRAC_SET_##wc(X, _FP_MAXFRAC_##wc);         \
 130               }                                                 \
 131             FP_SET_EXCEPTION(FP_EX_OVERFLOW);                   \
 132             FP_SET_EXCEPTION(FP_EX_INEXACT);                    \
 133           }                                                     \
 134       }                                                         \
 135     else                                                        \
 136       {                                                         \
 137         /* we've got a denormalized number */                   \
 138         X##_e = -X##_e + 1;                                     \
 139         if (X##_e <= _FP_WFRACBITS_##fs)                        \
 140           {                                                     \
 141             _FP_FRAC_SRS_##wc(X, X##_e, _FP_WFRACBITS_##fs);    \
 142             if (_FP_FRAC_HIGH_##fs(X)                           \
 143                 & (_FP_OVERFLOW_##fs >> 1))                     \
 144               {                                                 \
 145                 X##_e = 1;                                      \
 146                 _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);        \
 147               }                                                 \
 148             else                                                \
 149               {                                                 \
 150                 _FP_ROUND(wc, X);                               \
 151                 if (_FP_FRAC_HIGH_##fs(X)                       \
 152                    & (_FP_OVERFLOW_##fs >> 1))                  \
 153                   {                                             \
 154                     X##_e = 1;                                  \
 155                     _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);    \
 156                     FP_SET_EXCEPTION(FP_EX_INEXACT);            \
 157                   }                                             \
 158                 else                                            \
 159                   {                                             \
 160                     X##_e = 0;                                  \
 161                     _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);         \
 162                   }                                             \
 163               }                                                 \
 164             if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) ||          \
 165                 (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW))     \
 166                 FP_SET_EXCEPTION(FP_EX_UNDERFLOW);              \
 167           }                                                     \
 168         else                                                    \
 169           {                                                     \
 170             /* underflow to zero */                             \
 171             X##_e = 0;                                          \
 172             if (!_FP_FRAC_ZEROP_##wc(X))                        \
 173               {                                                 \
 174                 _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);         \
 175                 _FP_ROUND(wc, X);                               \
 176                 _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS);        \
 177               }                                                 \
 178             FP_SET_EXCEPTION(FP_EX_UNDERFLOW);                  \
 179           }                                                     \
 180       }                                                         \
 181     break;                                                      \
 182                                                                 \
 183   case FP_CLS_ZERO:                                             \
 184     X##_e = 0;                                                  \
 185     _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
 186     break;                                                      \
 187                                                                 \
 188   case FP_CLS_INF:                                              \
 189     X##_e = _FP_EXPMAX_##fs;                                    \
 190     _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
 191     break;                                                      \
 192                                                                 \
 193   case FP_CLS_NAN:                                              \
 194     X##_e = _FP_EXPMAX_##fs;                                    \
 195     if (!_FP_KEEPNANFRACP)                                      \
 196       {                                                         \
 197         _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs);                 \
 198         X##_s = _FP_NANSIGN_##fs;                               \
 199       }                                                         \
 200     else                                                        \
 201       _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs;            \
 202     break;                                                      \
 203   }                                                             \
 204 } while (0)
 205
 206 /* This one accepts raw argument and not cooked,  returns
 207  * 1 if X is a signaling NaN.
 208  */
 209 #define _FP_ISSIGNAN(fs, wc, X)                                 \
 210 ({                                                              \
 211   int __ret = 0;                                                \
 212   if (X##_e == _FP_EXPMAX_##fs)                                 \
 213     {                                                           \
 214       if (!_FP_FRAC_ZEROP_##wc(X)                               \
 215           && !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs))   \
 216         __ret = 1;                                              \
 217     }                                                           \
 218   __ret;                                                        \
 219 })
 220
 221
 222
 223
 224
 225 /*
 226  * Main addition routine.  The input values should be cooked.
 227  */
 228
 229 #define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP)                                \
 230 do {                                                                         \
 231   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                                     \
 232   {                                                                          \
 233   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):                         \
 234     {                                                                        \
 235       /* shift the smaller number so that its exponent matches the larger */ \
 236       _FP_I_TYPE diff = X##_e - Y##_e;                                       \
 237                                                                              \
 238       if (diff < 0)                                                          \
 239         {                                                                    \
 240           diff = -diff;                                                      \
 241           if (diff <= _FP_WFRACBITS_##fs)                                    \
 242             _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs);                  \
 243           else if (!_FP_FRAC_ZEROP_##wc(X))                                  \
 244             _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);                          \
 245           R##_e = Y##_e;                                                     \
 246         }                                                                    \
 247       else                                                                   \
 248         {                                                                    \
 249           if (diff > 0)                                                      \
 250             {                                                                \
 251               if (diff <= _FP_WFRACBITS_##fs)                                \
 252                 _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs);              \
 253               else if (!_FP_FRAC_ZEROP_##wc(Y))                              \
 254                 _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc);                      \
 255             }                                                                \
 256           R##_e = X##_e;                                                     \
 257         }                                                                    \
 258                                                                              \
 259       R##_c = FP_CLS_NORMAL;                                                 \
 260                                                                              \
 261       if (X##_s == Y##_s)                                                    \
 262         {                                                                    \
 263           R##_s = X##_s;                                                     \
 264           _FP_FRAC_ADD_##wc(R, X, Y);                                        \
 265           if (_FP_FRAC_OVERP_##wc(fs, R))                                    \
 266             {                                                                \
 267               _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);                   \
 268               R##_e++;                                                       \
 269             }                                                                \
 270         }                                                                    \
 271       else                                                                   \
 272         {                                                                    \
 273           R##_s = X##_s;                                                     \
 274           _FP_FRAC_SUB_##wc(R, X, Y);                                        \
 275           if (_FP_FRAC_ZEROP_##wc(R))                                        \
 276             {                                                                \
 277               /* return an exact zero */                                     \
 278               if (FP_ROUNDMODE == FP_RND_MINF)                               \
 279                 R##_s |= Y##_s;                                              \
 280               else                                                           \
 281                 R##_s &= Y##_s;                                              \
 282               R##_c = FP_CLS_ZERO;                                           \
 283             }                                                                \
 284           else                                                               \
 285             {                                                                \
 286               if (_FP_FRAC_NEGP_##wc(R))                                     \
 287                 {                                                            \
 288                   _FP_FRAC_SUB_##wc(R, Y, X);                                \
 289                   R##_s = Y##_s;                                             \
 290                 }                                                            \
 291                                                                              \
 292               /* renormalize after subtraction */                            \
 293               _FP_FRAC_CLZ_##wc(diff, R);                                    \
 294               diff -= _FP_WFRACXBITS_##fs;                                   \
 295               if (diff)                                                      \
 296                 {                                                            \
 297                   R##_e -= diff;                                             \
 298                   _FP_FRAC_SLL_##wc(R, diff);                                \
 299                 }                                                            \
 300             }                                                                \
 301         }                                                                    \
 302       break;                                                                 \
 303     }                                                                        \
 304                                                                              \
 305   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):                               \
 306     _FP_CHOOSENAN(fs, wc, R, X, Y, OP);                                      \
 307     break;                                                                   \
 308                                                                              \
 309   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):                           \
 310     R##_e = X##_e;                                                           \
 311   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):                            \
 312   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):                               \
 313   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):                              \
 314     _FP_FRAC_COPY_##wc(R, X);                                                \
 315     R##_s = X##_s;                                                           \
 316     R##_c = X##_c;                                                           \
 317     break;                                                                   \
 318                                                                              \
 319   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):                           \
 320     R##_e = Y##_e;                                                           \
 321   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):                            \
 322   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):                               \
 323   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):                              \
 324     _FP_FRAC_COPY_##wc(R, Y);                                                \
 325     R##_s = Y##_s;                                                           \
 326     R##_c = Y##_c;                                                           \
 327     break;                                                                   \
 328                                                                              \
 329   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):                               \
 330     if (X##_s != Y##_s)                                                      \
 331       {                                                                      \
 332         /* +INF + -INF => NAN */                                             \
 333         _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                              \
 334         R##_s = _FP_NANSIGN_##fs;                                            \
 335         R##_c = FP_CLS_NAN;                                                  \
 336         FP_SET_EXCEPTION(FP_EX_INVALID);                                     \
 337         break;                                                               \
 338       }                                                                      \
 339     /* FALLTHRU */                                                           \
 340                                                                              \
 341   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):                            \
 342   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):                              \
 343     R##_s = X##_s;                                                           \
 344     R##_c = FP_CLS_INF;                                                      \
 345     break;                                                                   \
 346                                                                              \
 347   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):                            \
 348   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):                              \
 349     R##_s = Y##_s;                                                           \
 350     R##_c = FP_CLS_INF;                                                      \
 351     break;                                                                   \
 352                                                                              \
 353   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):                             \
 354     /* make sure the sign is correct */                                      \
 355     if (FP_ROUNDMODE == FP_RND_MINF)                                         \
 356       R##_s = X##_s | Y##_s;                                                 \
 357     else                                                                     \
 358       R##_s = X##_s & Y##_s;                                                 \
 359     R##_c = FP_CLS_ZERO;                                                     \
 360     break;                                                                   \
 361                                                                              \
 362   default:                                                                   \
 363     abort();                                                                 \
 364   }                                                                          \
 365 } while (0)
 366
 367 #define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+')
 368 #define _FP_SUB(fs, wc, R, X, Y)                                             \
 369   do {                                                                       \
 370     if (Y##_c != FP_CLS_NAN) Y##_s ^= 1;                                     \
 371     _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-');                                  \
 372   } while (0)
 373
 374
 375 /*
 376  * Main negation routine.  FIXME -- when we care about setting exception
 377  * bits reliably, this will not do.  We should examine all of the fp classes.
 378  */
 379
 380 #define _FP_NEG(fs, wc, R, X)           \
 381   do {                                  \
 382     _FP_FRAC_COPY_##wc(R, X);           \
 383     R##_c = X##_c;                      \
 384     R##_e = X##_e;                      \
 385     R##_s = 1 ^ X##_s;                  \
 386   } while (0)
 387
 388
 389 /*
 390  * Main multiplication routine.  The input values should be cooked.
 391  */
 392
 393 #define _FP_MUL(fs, wc, R, X, Y)                        \
 394 do {                                                    \
 395   R##_s = X##_s ^ Y##_s;                                \
 396   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
 397   {                                                     \
 398   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
 399     R##_c = FP_CLS_NORMAL;                              \
 400     R##_e = X##_e + Y##_e + 1;                          \
 401                                                         \
 402     _FP_MUL_MEAT_##fs(R,X,Y);                           \
 403                                                         \
 404     if (_FP_FRAC_OVERP_##wc(fs, R))                     \
 405       _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);      \
 406     else                                                \
 407       R##_e--;                                          \
 408     break;                                              \
 409                                                         \
 410   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
 411     _FP_CHOOSENAN(fs, wc, R, X, Y, '*');                \
 412     break;                                              \
 413                                                         \
 414   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
 415   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
 416   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
 417     R##_s = X##_s;                                      \
 418                                                         \
 419   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
 420   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
 421   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
 422   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
 423     _FP_FRAC_COPY_##wc(R, X);                           \
 424     R##_c = X##_c;                                      \
 425     break;                                              \
 426                                                         \
 427   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
 428   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
 429   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
 430     R##_s = Y##_s;                                      \
 431                                                         \
 432   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
 433   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
 434     _FP_FRAC_COPY_##wc(R, Y);                           \
 435     R##_c = Y##_c;                                      \
 436     break;                                              \
 437                                                         \
 438   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
 439   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
 440     R##_s = _FP_NANSIGN_##fs;                           \
 441     R##_c = FP_CLS_NAN;                                 \
 442     _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
 443     FP_SET_EXCEPTION(FP_EX_INVALID);                    \
 444     break;                                              \
 445                                                         \
 446   default:                                              \
 447     abort();                                            \
 448   }                                                     \
 449 } while (0)
 450
 451
 452 /*
 453  * Main division routine.  The input values should be cooked.
 454  */
 455
 456 #define _FP_DIV(fs, wc, R, X, Y)                        \
 457 do {                                                    \
 458   R##_s = X##_s ^ Y##_s;                                \
 459   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
 460   {                                                     \
 461   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
 462     R##_c = FP_CLS_NORMAL;                              \
 463     R##_e = X##_e - Y##_e;                              \
 464                                                         \
 465     _FP_DIV_MEAT_##fs(R,X,Y);                           \
 466     break;                                              \
 467                                                         \
 468   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
 469     _FP_CHOOSENAN(fs, wc, R, X, Y, '/');                \
 470     break;                                              \
 471                                                         \
 472   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
 473   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
 474   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
 475     R##_s = X##_s;                                      \
 476     _FP_FRAC_COPY_##wc(R, X);                           \
 477     R##_c = X##_c;                                      \
 478     break;                                              \
 479                                                         \
 480   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
 481   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
 482   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
 483     R##_s = Y##_s;                                      \
 484     _FP_FRAC_COPY_##wc(R, Y);                           \
 485     R##_c = Y##_c;                                      \
 486     break;                                              \
 487                                                         \
 488   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
 489   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
 490   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
 491     R##_c = FP_CLS_ZERO;                                \
 492     break;                                              \
 493                                                         \
 494   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
 495     FP_SET_EXCEPTION(FP_EX_DIVZERO);                    \
 496   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
 497   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
 498     R##_c = FP_CLS_INF;                                 \
 499     break;                                              \
 500                                                         \
 501   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
 502   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
 503     R##_s = _FP_NANSIGN_##fs;                           \
 504     R##_c = FP_CLS_NAN;                                 \
 505     _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
 506     FP_SET_EXCEPTION(FP_EX_INVALID);                    \
 507     break;                                              \
 508                                                         \
 509   default:                                              \
 510     abort();                                            \
 511   }                                                     \
 512 } while (0)
 513
 514
 515 /*
 516  * Main differential comparison routine.  The inputs should be raw not
 517  * cooked.  The return is -1,0,1 for normal values, 2 otherwise.
 518  */
 519
 520 #define _FP_CMP(fs, wc, ret, X, Y, un)                                  \
 521   do {                                                                  \
 522     /* NANs are unordered */                                            \
 523     if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))           \
 524         || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))       \
 525       {                                                                 \
 526         ret = un;                                                       \
 527       }                                                                 \
 528     else                                                                \
 529       {                                                                 \
 530         int __is_zero_x;                                                \
 531         int __is_zero_y;                                                \
 532                                                                         \
 533         __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0;       \
 534         __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0;       \
 535                                                                         \
 536         if (__is_zero_x && __is_zero_y)                                 \
 537                 ret = 0;                                                \
 538         else if (__is_zero_x)                                           \
 539                 ret = Y##_s ? 1 : -1;                                   \
 540         else if (__is_zero_y)                                           \
 541                 ret = X##_s ? -1 : 1;                                   \
 542         else if (X##_s != Y##_s)                                        \
 543           ret = X##_s ? -1 : 1;                                         \
 544         else if (X##_e > Y##_e)                                         \
 545           ret = X##_s ? -1 : 1;                                         \
 546         else if (X##_e < Y##_e)                                         \
 547           ret = X##_s ? 1 : -1;                                         \
 548         else if (_FP_FRAC_GT_##wc(X, Y))                                \
 549           ret = X##_s ? -1 : 1;                                         \
 550         else if (_FP_FRAC_GT_##wc(Y, X))                                \
 551           ret = X##_s ? 1 : -1;                                         \
 552         else                                                            \
 553           ret = 0;                                                      \
 554       }                                                                 \
 555   } while (0)
 556
 557
 558 /* Simplification for strict equality.  */
 559
 560 #define _FP_CMP_EQ(fs, wc, ret, X, Y)                                     \
 561   do {                                                                    \
 562     /* NANs are unordered */                                              \
 563     if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))             \
 564         || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))         \
 565       {                                                                   \
 566         ret = 1;                                                          \
 567       }                                                                   \
 568     else                                                                  \
 569       {                                                                   \
 570         ret = !(X##_e == Y##_e                                            \
 571                 && _FP_FRAC_EQ_##wc(X, Y)                                 \
 572                 && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \
 573       }                                                                   \
 574   } while (0)
 575
 576 /*
 577  * Main square root routine.  The input value should be cooked.
 578  */
 579
 580 #define _FP_SQRT(fs, wc, R, X)                                          \
 581 do {                                                                    \
 582     _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S);                       \
 583     _FP_W_TYPE q;                                                       \
 584     switch (X##_c)                                                      \
 585     {                                                                   \
 586     case FP_CLS_NAN:                                                    \
 587         _FP_FRAC_COPY_##wc(R, X);                                       \
 588         R##_s = X##_s;                                                  \
 589         R##_c = FP_CLS_NAN;                                             \
 590         break;                                                          \
 591     case FP_CLS_INF:                                                    \
 592         if (X##_s)                                                      \
 593           {                                                             \
 594             R##_s = _FP_NANSIGN_##fs;                                   \
 595             R##_c = FP_CLS_NAN; /* NAN */                               \
 596             _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                     \
 597             FP_SET_EXCEPTION(FP_EX_INVALID);                            \
 598           }                                                             \
 599         else                                                            \
 600           {                                                             \
 601             R##_s = 0;                                                  \
 602             R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */                 \
 603           }                                                             \
 604         break;                                                          \
 605     case FP_CLS_ZERO:                                                   \
 606         R##_s = X##_s;                                                  \
 607         R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */                      \
 608         break;                                                          \
 609     case FP_CLS_NORMAL:                                                 \
 610         R##_s = 0;                                                      \
 611         if (X##_s)                                                      \
 612           {                                                             \
 613             R##_c = FP_CLS_NAN; /* sNAN */                              \
 614             R##_s = _FP_NANSIGN_##fs;                                   \
 615             _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                     \
 616             FP_SET_EXCEPTION(FP_EX_INVALID);                            \
 617             break;                                                      \
 618           }                                                             \
 619         R##_c = FP_CLS_NORMAL;                                          \
 620         if (X##_e & 1)                                                  \
 621           _FP_FRAC_SLL_##wc(X, 1);                                      \
 622         R##_e = X##_e >> 1;                                             \
 623         _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc);                        \
 624         _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc);                        \
 625         q = _FP_OVERFLOW_##fs >> 1;                                     \
 626         _FP_SQRT_MEAT_##wc(R, S, T, X, q);                              \
 627     }                                                                   \
 628   } while (0)
 629
 630 /*
 631  * Convert from FP to integer
 632  */
 633
 634 /* RSIGNED can have following values:
 635  * 0:  the number is required to be 0..(2^rsize)-1, if not, NV is set plus
 636  *     the result is either 0 or (2^rsize)-1 depending on the sign in such case.
 637  * 1:  the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
 638  *     set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
 639  *     on the sign in such case.
 640  * 2:  the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
 641  *     set plus the result is truncated to fit into destination.
 642  * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is
 643  *     set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
 644  *     on the sign in such case.
 645  */
 646 #define _FP_TO_INT(fs, wc, r, X, rsize, rsigned)                                \
 647   do {                                                                          \
 648     switch (X##_c)                                                              \
 649       {                                                                         \
 650       case FP_CLS_NORMAL:                                                       \
 651         if (X##_e < 0)                                                          \
 652           {                                                                     \
 653             FP_SET_EXCEPTION(FP_EX_INEXACT);                                    \
 654           case FP_CLS_ZERO:                                                     \
 655             r = 0;                                                              \
 656           }                                                                     \
 657         else if (X##_e >= rsize - (rsigned > 0 || X##_s)                        \
 658                  || (!rsigned && X##_s))                                        \
 659           {     /* overflow */                                                  \
 660           case FP_CLS_NAN:                                                      \
 661           case FP_CLS_INF:                                                      \
 662             if (rsigned == 2)                                                   \
 663               {                                                                 \
 664                 if (X##_c != FP_CLS_NORMAL                                      \
 665                     || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs)                 \
 666                   r = 0;                                                        \
 667                 else                                                            \
 668                   {                                                             \
 669                     _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1));     \
 670                     _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
 671                   }                                                             \
 672               }                                                                 \
 673             else if (rsigned)                                                   \
 674               {                                                                 \
 675                 r = 1;                                                          \
 676                 r <<= rsize - 1;                                                \
 677                 r -= 1 - X##_s;                                                 \
 678               }                                                                 \
 679             else                                                                \
 680               {                                                                 \
 681                 r = 0;                                                          \
 682                 if (X##_s)                                                      \
 683                   r = ~r;                                                       \
 684               }                                                                 \
 685             FP_SET_EXCEPTION(FP_EX_INVALID);                                    \
 686           }                                                                     \
 687         else                                                                    \
 688           {                                                                     \
 689             if (_FP_W_TYPE_SIZE*wc < rsize)                                     \
 690               {                                                                 \
 691                 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                            \
 692                 r <<= X##_e - _FP_WFRACBITS_##fs;                               \
 693               }                                                                 \
 694             else                                                                \
 695               {                                                                 \
 696                 if (X##_e >= _FP_WFRACBITS_##fs)                                \
 697                   _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1));       \
 698                 else if (X##_e < _FP_WFRACBITS_##fs - 1)                        \
 699                   {                                                             \
 700                     _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2),      \
 701                                       _FP_WFRACBITS_##fs);                      \
 702                     if (_FP_FRAC_LOW_##wc(X) & 1)                               \
 703                       FP_SET_EXCEPTION(FP_EX_INEXACT);                          \
 704                     _FP_FRAC_SRL_##wc(X, 1);                                    \
 705                   }                                                             \
 706                 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                            \
 707               }                                                                 \
 708             if (rsigned && X##_s)                                               \
 709               r = -r;                                                           \
 710           }                                                                     \
 711         break;                                                                  \
 712       }                                                                         \
 713   } while (0)
 714
 715 #define _FP_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned)                          \
 716   do {                                                                          \
 717     r = 0;                                                                      \
 718     switch (X##_c)                                                              \
 719       {                                                                         \
 720       case FP_CLS_NORMAL:                                                       \
 721         if (X##_e >= _FP_FRACBITS_##fs - 1)                                     \
 722           {                                                                     \
 723             if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs)                         \
 724               {                                                                 \
 725                 if (X##_e >= _FP_WFRACBITS_##fs - 1)                            \
 726                   {                                                             \
 727                     _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
 728                     r <<= X##_e - _FP_WFRACBITS_##fs + 1;                       \
 729                   }                                                             \
 730                 else                                                            \
 731                   {                                                             \
 732                     _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e                   \
 733                                       + _FP_FRACBITS_##fs - 1);                 \
 734                     _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
 735                   }                                                             \
 736               }                                                                 \
 737           }                                                                     \
 738         else                                                                    \
 739           {                                                                     \
 740             if (X##_e <= -_FP_WORKBITS - 1)                                     \
 741               _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);                           \
 742             else                                                                \
 743               _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e,               \
 744                                 _FP_WFRACBITS_##fs);                            \
 745             _FP_ROUND(wc, X);                                                   \
 746             _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);                                 \
 747             _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                                \
 748           }                                                                     \
 749         if (rsigned && X##_s)                                                   \
 750           r = -r;                                                               \
 751         if (X##_e >= rsize - (rsigned > 0 || X##_s)                             \
 752             || (!rsigned && X##_s))                                             \
 753           {     /* overflow */                                                  \
 754           case FP_CLS_NAN:                                                      \
 755           case FP_CLS_INF:                                                      \
 756             if (!rsigned)                                                       \
 757               {                                                                 \
 758                 r = 0;                                                          \
 759                 if (X##_s)                                                      \
 760                   r = ~r;                                                       \
 761               }                                                                 \
 762             else if (rsigned != 2)                                              \
 763               {                                                                 \
 764                 r = 1;                                                          \
 765                 r <<= rsize - 1;                                                \
 766                 r -= 1 - X##_s;                                                 \
 767               }                                                                 \
 768             FP_SET_EXCEPTION(FP_EX_INVALID);                                    \
 769           }                                                                     \
 770         break;                                                                  \
 771       case FP_CLS_ZERO:                                                         \
 772         break;                                                                  \
 773       }                                                                         \
 774   } while (0)
 775
 776 #define _FP_FROM_INT(fs, wc, X, r, rsize, rtype)                        \
 777   do {                                                                  \
 778     if (r)                                                              \
 779       {                                                                 \
 780         unsigned rtype ur_;                                             \
 781         X##_c = FP_CLS_NORMAL;                                          \
 782                                                                         \
 783         if ((X##_s = (r < 0)))                                          \
 784           ur_ = (unsigned rtype) -r;                                    \
 785         else                                                            \
 786           ur_ = (unsigned rtype) r;                                     \
 787         if (rsize <= _FP_W_TYPE_SIZE)                                   \
 788           __FP_CLZ(X##_e, ur_);                                         \
 789         else                                                            \
 790           __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE),       \
 791                      (_FP_W_TYPE)ur_);                                  \
 792         if (rsize < _FP_W_TYPE_SIZE)                                    \
 793                 X##_e -= (_FP_W_TYPE_SIZE - rsize);                     \
 794         X##_e = rsize - X##_e - 1;                                      \
 795                                                                         \
 796         if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e)    \
 797           __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\
 798         _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize);                       \
 799         if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0)                       \
 800           _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1));       \
 801       }                                                                 \
 802     else                                                                \
 803       {                                                                 \
 804         X##_c = FP_CLS_ZERO, X##_s = 0;                                 \
 805       }                                                                 \
 806   } while (0)
 807
 808
 809 #define FP_CONV(dfs,sfs,dwc,swc,D,S)                    \
 810   do {                                                  \
 811     _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S);        \
 812     D##_e = S##_e;                                      \
 813     D##_c = S##_c;                                      \
 814     D##_s = S##_s;                                      \
 815   } while (0)
 816
 817 /*
 818  * Helper primitives.
 819  */
 820
 821 /* Count leading zeros in a word.  */
 822
 823 #ifndef __FP_CLZ
 824 #if _FP_W_TYPE_SIZE < 64
 825 /* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */
 826 #define __FP_CLZ(r, x)                          \
 827   do {                                          \
 828     _FP_W_TYPE _t = (x);                        \
 829     r = _FP_W_TYPE_SIZE - 1;                    \
 830     if (_t > 0xffff) r -= 16;                   \
 831     if (_t > 0xffff) _t >>= 16;                 \
 832     if (_t > 0xff) r -= 8;                      \
 833     if (_t > 0xff) _t >>= 8;                    \
 834     if (_t & 0xf0) r -= 4;                      \
 835     if (_t & 0xf0) _t >>= 4;                    \
 836     if (_t & 0xc) r -= 2;                       \
 837     if (_t & 0xc) _t >>= 2;                     \
 838     if (_t & 0x2) r -= 1;                       \
 839   } while (0)
 840 #else /* not _FP_W_TYPE_SIZE < 64 */
 841 #define __FP_CLZ(r, x)                          \
 842   do {                                          \
 843     _FP_W_TYPE _t = (x);                        \
 844     r = _FP_W_TYPE_SIZE - 1;                    \
 845     if (_t > 0xffffffff) r -= 32;               \
 846     if (_t > 0xffffffff) _t >>= 32;             \
 847     if (_t > 0xffff) r -= 16;                   \
 848     if (_t > 0xffff) _t >>= 16;                 \
 849     if (_t > 0xff) r -= 8;                      \
 850     if (_t > 0xff) _t >>= 8;                    \
 851     if (_t & 0xf0) r -= 4;                      \
 852     if (_t & 0xf0) _t >>= 4;                    \
 853     if (_t & 0xc) r -= 2;                       \
 854     if (_t & 0xc) _t >>= 2;                     \
 855     if (_t & 0x2) r -= 1;                       \
 856   } while (0)
 857 #endif /* not _FP_W_TYPE_SIZE < 64 */
 858 #endif /* ndef __FP_CLZ */
 859
 860 #define _FP_DIV_HELP_imm(q, r, n, d)            \
 861   do {                                          \
 862     q = n / d, r = n % d;                       \
 863   } while (0)
 864
 865 #endif /* __MATH_EMU_OP_COMMON_H__ */