[MATH-EMU]: Fix underflow exception reporting.
[linux-2.6.git] / 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             _FP_ROUND(wc, X);                                   \
143             if (_FP_FRAC_HIGH_##fs(X)                           \
144                 & (_FP_OVERFLOW_##fs >> 1))                     \
145               {                                                 \
146                 X##_e = 1;                                      \
147                 _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);        \
148                 FP_SET_EXCEPTION(FP_EX_INEXACT);                \
149               }                                                 \
150             else                                                \
151               {                                                 \
152                 X##_e = 0;                                      \
153                 _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);             \
154               }                                                 \
155             if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) ||          \
156                 (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW))     \
157                 FP_SET_EXCEPTION(FP_EX_UNDERFLOW);              \
158           }                                                     \
159         else                                                    \
160           {                                                     \
161             /* underflow to zero */                             \
162             X##_e = 0;                                          \
163             if (!_FP_FRAC_ZEROP_##wc(X))                        \
164               {                                                 \
165                 _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);         \
166                 _FP_ROUND(wc, X);                               \
167                 _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS);        \
168               }                                                 \
169             FP_SET_EXCEPTION(FP_EX_UNDERFLOW);                  \
170           }                                                     \
171       }                                                         \
172     break;                                                      \
173                                                                 \
174   case FP_CLS_ZERO:                                             \
175     X##_e = 0;                                                  \
176     _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
177     break;                                                      \
178                                                                 \
179   case FP_CLS_INF:                                              \
180     X##_e = _FP_EXPMAX_##fs;                                    \
181     _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc);                    \
182     break;                                                      \
183                                                                 \
184   case FP_CLS_NAN:                                              \
185     X##_e = _FP_EXPMAX_##fs;                                    \
186     if (!_FP_KEEPNANFRACP)                                      \
187       {                                                         \
188         _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs);                 \
189         X##_s = _FP_NANSIGN_##fs;                               \
190       }                                                         \
191     else                                                        \
192       _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs;            \
193     break;                                                      \
194   }                                                             \
195 } while (0)
196
197 /* This one accepts raw argument and not cooked,  returns
198  * 1 if X is a signaling NaN.
199  */
200 #define _FP_ISSIGNAN(fs, wc, X)                                 \
201 ({                                                              \
202   int __ret = 0;                                                \
203   if (X##_e == _FP_EXPMAX_##fs)                                 \
204     {                                                           \
205       if (!_FP_FRAC_ZEROP_##wc(X)                               \
206           && !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs))   \
207         __ret = 1;                                              \
208     }                                                           \
209   __ret;                                                        \
210 })
211
212
213
214
215
216 /*
217  * Main addition routine.  The input values should be cooked.
218  */
219
220 #define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP)                                \
221 do {                                                                         \
222   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                                     \
223   {                                                                          \
224   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):                         \
225     {                                                                        \
226       /* shift the smaller number so that its exponent matches the larger */ \
227       _FP_I_TYPE diff = X##_e - Y##_e;                                       \
228                                                                              \
229       if (diff < 0)                                                          \
230         {                                                                    \
231           diff = -diff;                                                      \
232           if (diff <= _FP_WFRACBITS_##fs)                                    \
233             _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs);                  \
234           else if (!_FP_FRAC_ZEROP_##wc(X))                                  \
235             _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);                          \
236           R##_e = Y##_e;                                                     \
237         }                                                                    \
238       else                                                                   \
239         {                                                                    \
240           if (diff > 0)                                                      \
241             {                                                                \
242               if (diff <= _FP_WFRACBITS_##fs)                                \
243                 _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs);              \
244               else if (!_FP_FRAC_ZEROP_##wc(Y))                              \
245                 _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc);                      \
246             }                                                                \
247           R##_e = X##_e;                                                     \
248         }                                                                    \
249                                                                              \
250       R##_c = FP_CLS_NORMAL;                                                 \
251                                                                              \
252       if (X##_s == Y##_s)                                                    \
253         {                                                                    \
254           R##_s = X##_s;                                                     \
255           _FP_FRAC_ADD_##wc(R, X, Y);                                        \
256           if (_FP_FRAC_OVERP_##wc(fs, R))                                    \
257             {                                                                \
258               _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);                   \
259               R##_e++;                                                       \
260             }                                                                \
261         }                                                                    \
262       else                                                                   \
263         {                                                                    \
264           R##_s = X##_s;                                                     \
265           _FP_FRAC_SUB_##wc(R, X, Y);                                        \
266           if (_FP_FRAC_ZEROP_##wc(R))                                        \
267             {                                                                \
268               /* return an exact zero */                                     \
269               if (FP_ROUNDMODE == FP_RND_MINF)                               \
270                 R##_s |= Y##_s;                                              \
271               else                                                           \
272                 R##_s &= Y##_s;                                              \
273               R##_c = FP_CLS_ZERO;                                           \
274             }                                                                \
275           else                                                               \
276             {                                                                \
277               if (_FP_FRAC_NEGP_##wc(R))                                     \
278                 {                                                            \
279                   _FP_FRAC_SUB_##wc(R, Y, X);                                \
280                   R##_s = Y##_s;                                             \
281                 }                                                            \
282                                                                              \
283               /* renormalize after subtraction */                            \
284               _FP_FRAC_CLZ_##wc(diff, R);                                    \
285               diff -= _FP_WFRACXBITS_##fs;                                   \
286               if (diff)                                                      \
287                 {                                                            \
288                   R##_e -= diff;                                             \
289                   _FP_FRAC_SLL_##wc(R, diff);                                \
290                 }                                                            \
291             }                                                                \
292         }                                                                    \
293       break;                                                                 \
294     }                                                                        \
295                                                                              \
296   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):                               \
297     _FP_CHOOSENAN(fs, wc, R, X, Y, OP);                                      \
298     break;                                                                   \
299                                                                              \
300   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):                           \
301     R##_e = X##_e;                                                           \
302   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):                            \
303   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):                               \
304   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):                              \
305     _FP_FRAC_COPY_##wc(R, X);                                                \
306     R##_s = X##_s;                                                           \
307     R##_c = X##_c;                                                           \
308     break;                                                                   \
309                                                                              \
310   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):                           \
311     R##_e = Y##_e;                                                           \
312   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):                            \
313   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):                               \
314   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):                              \
315     _FP_FRAC_COPY_##wc(R, Y);                                                \
316     R##_s = Y##_s;                                                           \
317     R##_c = Y##_c;                                                           \
318     break;                                                                   \
319                                                                              \
320   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):                               \
321     if (X##_s != Y##_s)                                                      \
322       {                                                                      \
323         /* +INF + -INF => NAN */                                             \
324         _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                              \
325         R##_s = _FP_NANSIGN_##fs;                                            \
326         R##_c = FP_CLS_NAN;                                                  \
327         FP_SET_EXCEPTION(FP_EX_INVALID);                                     \
328         break;                                                               \
329       }                                                                      \
330     /* FALLTHRU */                                                           \
331                                                                              \
332   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):                            \
333   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):                              \
334     R##_s = X##_s;                                                           \
335     R##_c = FP_CLS_INF;                                                      \
336     break;                                                                   \
337                                                                              \
338   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):                            \
339   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):                              \
340     R##_s = Y##_s;                                                           \
341     R##_c = FP_CLS_INF;                                                      \
342     break;                                                                   \
343                                                                              \
344   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):                             \
345     /* make sure the sign is correct */                                      \
346     if (FP_ROUNDMODE == FP_RND_MINF)                                         \
347       R##_s = X##_s | Y##_s;                                                 \
348     else                                                                     \
349       R##_s = X##_s & Y##_s;                                                 \
350     R##_c = FP_CLS_ZERO;                                                     \
351     break;                                                                   \
352                                                                              \
353   default:                                                                   \
354     abort();                                                                 \
355   }                                                                          \
356 } while (0)
357
358 #define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+')
359 #define _FP_SUB(fs, wc, R, X, Y)                                             \
360   do {                                                                       \
361     if (Y##_c != FP_CLS_NAN) Y##_s ^= 1;                                     \
362     _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-');                                  \
363   } while (0)
364
365
366 /*
367  * Main negation routine.  FIXME -- when we care about setting exception
368  * bits reliably, this will not do.  We should examine all of the fp classes.
369  */
370
371 #define _FP_NEG(fs, wc, R, X)           \
372   do {                                  \
373     _FP_FRAC_COPY_##wc(R, X);           \
374     R##_c = X##_c;                      \
375     R##_e = X##_e;                      \
376     R##_s = 1 ^ X##_s;                  \
377   } while (0)
378
379
380 /*
381  * Main multiplication routine.  The input values should be cooked.
382  */
383
384 #define _FP_MUL(fs, wc, R, X, Y)                        \
385 do {                                                    \
386   R##_s = X##_s ^ Y##_s;                                \
387   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
388   {                                                     \
389   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
390     R##_c = FP_CLS_NORMAL;                              \
391     R##_e = X##_e + Y##_e + 1;                          \
392                                                         \
393     _FP_MUL_MEAT_##fs(R,X,Y);                           \
394                                                         \
395     if (_FP_FRAC_OVERP_##wc(fs, R))                     \
396       _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs);      \
397     else                                                \
398       R##_e--;                                          \
399     break;                                              \
400                                                         \
401   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
402     _FP_CHOOSENAN(fs, wc, R, X, Y, '*');                \
403     break;                                              \
404                                                         \
405   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
406   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
407   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
408     R##_s = X##_s;                                      \
409                                                         \
410   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
411   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
412   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
413   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
414     _FP_FRAC_COPY_##wc(R, X);                           \
415     R##_c = X##_c;                                      \
416     break;                                              \
417                                                         \
418   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
419   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
420   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
421     R##_s = Y##_s;                                      \
422                                                         \
423   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
424   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
425     _FP_FRAC_COPY_##wc(R, Y);                           \
426     R##_c = Y##_c;                                      \
427     break;                                              \
428                                                         \
429   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
430   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
431     R##_s = _FP_NANSIGN_##fs;                           \
432     R##_c = FP_CLS_NAN;                                 \
433     _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
434     FP_SET_EXCEPTION(FP_EX_INVALID);                    \
435     break;                                              \
436                                                         \
437   default:                                              \
438     abort();                                            \
439   }                                                     \
440 } while (0)
441
442
443 /*
444  * Main division routine.  The input values should be cooked.
445  */
446
447 #define _FP_DIV(fs, wc, R, X, Y)                        \
448 do {                                                    \
449   R##_s = X##_s ^ Y##_s;                                \
450   switch (_FP_CLS_COMBINE(X##_c, Y##_c))                \
451   {                                                     \
452   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL):    \
453     R##_c = FP_CLS_NORMAL;                              \
454     R##_e = X##_e - Y##_e;                              \
455                                                         \
456     _FP_DIV_MEAT_##fs(R,X,Y);                           \
457     break;                                              \
458                                                         \
459   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN):          \
460     _FP_CHOOSENAN(fs, wc, R, X, Y, '/');                \
461     break;                                              \
462                                                         \
463   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL):       \
464   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF):          \
465   case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO):         \
466     R##_s = X##_s;                                      \
467     _FP_FRAC_COPY_##wc(R, X);                           \
468     R##_c = X##_c;                                      \
469     break;                                              \
470                                                         \
471   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN):       \
472   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN):          \
473   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN):         \
474     R##_s = Y##_s;                                      \
475     _FP_FRAC_COPY_##wc(R, Y);                           \
476     R##_c = Y##_c;                                      \
477     break;                                              \
478                                                         \
479   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF):       \
480   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF):         \
481   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL):      \
482     R##_c = FP_CLS_ZERO;                                \
483     break;                                              \
484                                                         \
485   case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO):      \
486     FP_SET_EXCEPTION(FP_EX_DIVZERO);                    \
487   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO):         \
488   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL):       \
489     R##_c = FP_CLS_INF;                                 \
490     break;                                              \
491                                                         \
492   case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF):          \
493   case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO):        \
494     R##_s = _FP_NANSIGN_##fs;                           \
495     R##_c = FP_CLS_NAN;                                 \
496     _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);             \
497     FP_SET_EXCEPTION(FP_EX_INVALID);                    \
498     break;                                              \
499                                                         \
500   default:                                              \
501     abort();                                            \
502   }                                                     \
503 } while (0)
504
505
506 /*
507  * Main differential comparison routine.  The inputs should be raw not
508  * cooked.  The return is -1,0,1 for normal values, 2 otherwise.
509  */
510
511 #define _FP_CMP(fs, wc, ret, X, Y, un)                                  \
512   do {                                                                  \
513     /* NANs are unordered */                                            \
514     if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))           \
515         || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))       \
516       {                                                                 \
517         ret = un;                                                       \
518       }                                                                 \
519     else                                                                \
520       {                                                                 \
521         int __is_zero_x;                                                \
522         int __is_zero_y;                                                \
523                                                                         \
524         __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0;       \
525         __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0;       \
526                                                                         \
527         if (__is_zero_x && __is_zero_y)                                 \
528                 ret = 0;                                                \
529         else if (__is_zero_x)                                           \
530                 ret = Y##_s ? 1 : -1;                                   \
531         else if (__is_zero_y)                                           \
532                 ret = X##_s ? -1 : 1;                                   \
533         else if (X##_s != Y##_s)                                        \
534           ret = X##_s ? -1 : 1;                                         \
535         else if (X##_e > Y##_e)                                         \
536           ret = X##_s ? -1 : 1;                                         \
537         else if (X##_e < Y##_e)                                         \
538           ret = X##_s ? 1 : -1;                                         \
539         else if (_FP_FRAC_GT_##wc(X, Y))                                \
540           ret = X##_s ? -1 : 1;                                         \
541         else if (_FP_FRAC_GT_##wc(Y, X))                                \
542           ret = X##_s ? 1 : -1;                                         \
543         else                                                            \
544           ret = 0;                                                      \
545       }                                                                 \
546   } while (0)
547
548
549 /* Simplification for strict equality.  */
550
551 #define _FP_CMP_EQ(fs, wc, ret, X, Y)                                     \
552   do {                                                                    \
553     /* NANs are unordered */                                              \
554     if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X))             \
555         || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y)))         \
556       {                                                                   \
557         ret = 1;                                                          \
558       }                                                                   \
559     else                                                                  \
560       {                                                                   \
561         ret = !(X##_e == Y##_e                                            \
562                 && _FP_FRAC_EQ_##wc(X, Y)                                 \
563                 && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \
564       }                                                                   \
565   } while (0)
566
567 /*
568  * Main square root routine.  The input value should be cooked.
569  */
570
571 #define _FP_SQRT(fs, wc, R, X)                                          \
572 do {                                                                    \
573     _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S);                       \
574     _FP_W_TYPE q;                                                       \
575     switch (X##_c)                                                      \
576     {                                                                   \
577     case FP_CLS_NAN:                                                    \
578         _FP_FRAC_COPY_##wc(R, X);                                       \
579         R##_s = X##_s;                                                  \
580         R##_c = FP_CLS_NAN;                                             \
581         break;                                                          \
582     case FP_CLS_INF:                                                    \
583         if (X##_s)                                                      \
584           {                                                             \
585             R##_s = _FP_NANSIGN_##fs;                                   \
586             R##_c = FP_CLS_NAN; /* NAN */                               \
587             _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                     \
588             FP_SET_EXCEPTION(FP_EX_INVALID);                            \
589           }                                                             \
590         else                                                            \
591           {                                                             \
592             R##_s = 0;                                                  \
593             R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */                 \
594           }                                                             \
595         break;                                                          \
596     case FP_CLS_ZERO:                                                   \
597         R##_s = X##_s;                                                  \
598         R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */                      \
599         break;                                                          \
600     case FP_CLS_NORMAL:                                                 \
601         R##_s = 0;                                                      \
602         if (X##_s)                                                      \
603           {                                                             \
604             R##_c = FP_CLS_NAN; /* sNAN */                              \
605             R##_s = _FP_NANSIGN_##fs;                                   \
606             _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs);                     \
607             FP_SET_EXCEPTION(FP_EX_INVALID);                            \
608             break;                                                      \
609           }                                                             \
610         R##_c = FP_CLS_NORMAL;                                          \
611         if (X##_e & 1)                                                  \
612           _FP_FRAC_SLL_##wc(X, 1);                                      \
613         R##_e = X##_e >> 1;                                             \
614         _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc);                        \
615         _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc);                        \
616         q = _FP_OVERFLOW_##fs >> 1;                                     \
617         _FP_SQRT_MEAT_##wc(R, S, T, X, q);                              \
618     }                                                                   \
619   } while (0)
620
621 /*
622  * Convert from FP to integer
623  */
624
625 /* RSIGNED can have following values:
626  * 0:  the number is required to be 0..(2^rsize)-1, if not, NV is set plus
627  *     the result is either 0 or (2^rsize)-1 depending on the sign in such case.
628  * 1:  the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
629  *     set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
630  *     on the sign in such case.
631  * 2:  the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
632  *     set plus the result is truncated to fit into destination.
633  * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is
634  *     set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
635  *     on the sign in such case.
636  */
637 #define _FP_TO_INT(fs, wc, r, X, rsize, rsigned)                                \
638   do {                                                                          \
639     switch (X##_c)                                                              \
640       {                                                                         \
641       case FP_CLS_NORMAL:                                                       \
642         if (X##_e < 0)                                                          \
643           {                                                                     \
644             FP_SET_EXCEPTION(FP_EX_INEXACT);                                    \
645           case FP_CLS_ZERO:                                                     \
646             r = 0;                                                              \
647           }                                                                     \
648         else if (X##_e >= rsize - (rsigned > 0 || X##_s)                        \
649                  || (!rsigned && X##_s))                                        \
650           {     /* overflow */                                                  \
651           case FP_CLS_NAN:                                                      \
652           case FP_CLS_INF:                                                      \
653             if (rsigned == 2)                                                   \
654               {                                                                 \
655                 if (X##_c != FP_CLS_NORMAL                                      \
656                     || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs)                 \
657                   r = 0;                                                        \
658                 else                                                            \
659                   {                                                             \
660                     _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1));     \
661                     _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
662                   }                                                             \
663               }                                                                 \
664             else if (rsigned)                                                   \
665               {                                                                 \
666                 r = 1;                                                          \
667                 r <<= rsize - 1;                                                \
668                 r -= 1 - X##_s;                                                 \
669               }                                                                 \
670             else                                                                \
671               {                                                                 \
672                 r = 0;                                                          \
673                 if (X##_s)                                                      \
674                   r = ~r;                                                       \
675               }                                                                 \
676             FP_SET_EXCEPTION(FP_EX_INVALID);                                    \
677           }                                                                     \
678         else                                                                    \
679           {                                                                     \
680             if (_FP_W_TYPE_SIZE*wc < rsize)                                     \
681               {                                                                 \
682                 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                            \
683                 r <<= X##_e - _FP_WFRACBITS_##fs;                               \
684               }                                                                 \
685             else                                                                \
686               {                                                                 \
687                 if (X##_e >= _FP_WFRACBITS_##fs)                                \
688                   _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1));       \
689                 else if (X##_e < _FP_WFRACBITS_##fs - 1)                        \
690                   {                                                             \
691                     _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2),      \
692                                       _FP_WFRACBITS_##fs);                      \
693                     if (_FP_FRAC_LOW_##wc(X) & 1)                               \
694                       FP_SET_EXCEPTION(FP_EX_INEXACT);                          \
695                     _FP_FRAC_SRL_##wc(X, 1);                                    \
696                   }                                                             \
697                 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                            \
698               }                                                                 \
699             if (rsigned && X##_s)                                               \
700               r = -r;                                                           \
701           }                                                                     \
702         break;                                                                  \
703       }                                                                         \
704   } while (0)
705
706 #define _FP_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned)                          \
707   do {                                                                          \
708     r = 0;                                                                      \
709     switch (X##_c)                                                              \
710       {                                                                         \
711       case FP_CLS_NORMAL:                                                       \
712         if (X##_e >= _FP_FRACBITS_##fs - 1)                                     \
713           {                                                                     \
714             if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs)                         \
715               {                                                                 \
716                 if (X##_e >= _FP_WFRACBITS_##fs - 1)                            \
717                   {                                                             \
718                     _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
719                     r <<= X##_e - _FP_WFRACBITS_##fs + 1;                       \
720                   }                                                             \
721                 else                                                            \
722                   {                                                             \
723                     _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e                   \
724                                       + _FP_FRACBITS_##fs - 1);                 \
725                     _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                        \
726                   }                                                             \
727               }                                                                 \
728           }                                                                     \
729         else                                                                    \
730           {                                                                     \
731             if (X##_e <= -_FP_WORKBITS - 1)                                     \
732               _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc);                           \
733             else                                                                \
734               _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e,               \
735                                 _FP_WFRACBITS_##fs);                            \
736             _FP_ROUND(wc, X);                                                   \
737             _FP_FRAC_SRL_##wc(X, _FP_WORKBITS);                                 \
738             _FP_FRAC_ASSEMBLE_##wc(r, X, rsize);                                \
739           }                                                                     \
740         if (rsigned && X##_s)                                                   \
741           r = -r;                                                               \
742         if (X##_e >= rsize - (rsigned > 0 || X##_s)                             \
743             || (!rsigned && X##_s))                                             \
744           {     /* overflow */                                                  \
745           case FP_CLS_NAN:                                                      \
746           case FP_CLS_INF:                                                      \
747             if (!rsigned)                                                       \
748               {                                                                 \
749                 r = 0;                                                          \
750                 if (X##_s)                                                      \
751                   r = ~r;                                                       \
752               }                                                                 \
753             else if (rsigned != 2)                                              \
754               {                                                                 \
755                 r = 1;                                                          \
756                 r <<= rsize - 1;                                                \
757                 r -= 1 - X##_s;                                                 \
758               }                                                                 \
759             FP_SET_EXCEPTION(FP_EX_INVALID);                                    \
760           }                                                                     \
761         break;                                                                  \
762       case FP_CLS_ZERO:                                                         \
763         break;                                                                  \
764       }                                                                         \
765   } while (0)
766
767 #define _FP_FROM_INT(fs, wc, X, r, rsize, rtype)                        \
768   do {                                                                  \
769     if (r)                                                              \
770       {                                                                 \
771         unsigned rtype ur_;                                             \
772         X##_c = FP_CLS_NORMAL;                                          \
773                                                                         \
774         if ((X##_s = (r < 0)))                                          \
775           ur_ = (unsigned rtype) -r;                                    \
776         else                                                            \
777           ur_ = (unsigned rtype) r;                                     \
778         if (rsize <= _FP_W_TYPE_SIZE)                                   \
779           __FP_CLZ(X##_e, ur_);                                         \
780         else                                                            \
781           __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE),       \
782                      (_FP_W_TYPE)ur_);                                  \
783         if (rsize < _FP_W_TYPE_SIZE)                                    \
784                 X##_e -= (_FP_W_TYPE_SIZE - rsize);                     \
785         X##_e = rsize - X##_e - 1;                                      \
786                                                                         \
787         if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e)    \
788           __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\
789         _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize);                       \
790         if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0)                       \
791           _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1));       \
792       }                                                                 \
793     else                                                                \
794       {                                                                 \
795         X##_c = FP_CLS_ZERO, X##_s = 0;                                 \
796       }                                                                 \
797   } while (0)
798
799
800 #define FP_CONV(dfs,sfs,dwc,swc,D,S)                    \
801   do {                                                  \
802     _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S);        \
803     D##_e = S##_e;                                      \
804     D##_c = S##_c;                                      \
805     D##_s = S##_s;                                      \
806   } while (0)
807
808 /*
809  * Helper primitives.
810  */
811
812 /* Count leading zeros in a word.  */
813
814 #ifndef __FP_CLZ
815 #if _FP_W_TYPE_SIZE < 64
816 /* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */
817 #define __FP_CLZ(r, x)                          \
818   do {                                          \
819     _FP_W_TYPE _t = (x);                        \
820     r = _FP_W_TYPE_SIZE - 1;                    \
821     if (_t > 0xffff) r -= 16;                   \
822     if (_t > 0xffff) _t >>= 16;                 \
823     if (_t > 0xff) r -= 8;                      \
824     if (_t > 0xff) _t >>= 8;                    \
825     if (_t & 0xf0) r -= 4;                      \
826     if (_t & 0xf0) _t >>= 4;                    \
827     if (_t & 0xc) r -= 2;                       \
828     if (_t & 0xc) _t >>= 2;                     \
829     if (_t & 0x2) r -= 1;                       \
830   } while (0)
831 #else /* not _FP_W_TYPE_SIZE < 64 */
832 #define __FP_CLZ(r, x)                          \
833   do {                                          \
834     _FP_W_TYPE _t = (x);                        \
835     r = _FP_W_TYPE_SIZE - 1;                    \
836     if (_t > 0xffffffff) r -= 32;               \
837     if (_t > 0xffffffff) _t >>= 32;             \
838     if (_t > 0xffff) r -= 16;                   \
839     if (_t > 0xffff) _t >>= 16;                 \
840     if (_t > 0xff) r -= 8;                      \
841     if (_t > 0xff) _t >>= 8;                    \
842     if (_t & 0xf0) r -= 4;                      \
843     if (_t & 0xf0) _t >>= 4;                    \
844     if (_t & 0xc) r -= 2;                       \
845     if (_t & 0xc) _t >>= 2;                     \
846     if (_t & 0x2) r -= 1;                       \
847   } while (0)
848 #endif /* not _FP_W_TYPE_SIZE < 64 */
849 #endif /* ndef __FP_CLZ */
850
851 #define _FP_DIV_HELP_imm(q, r, n, d)            \
852   do {                                          \
853     q = n / d, r = n % d;                       \
854   } while (0)
855
856 #endif /* __MATH_EMU_OP_COMMON_H__ */