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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) \
37do { \
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) \
90do { \
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 } \
149 else \
150 { \
151 X##_e = 0; \
152 _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
153 FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \
154 } \
155 } \
156 else \
157 { \
158 /* underflow to zero */ \
159 X##_e = 0; \
160 if (!_FP_FRAC_ZEROP_##wc(X)) \
161 { \
162 _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
163 _FP_ROUND(wc, X); \
164 _FP_FRAC_LOW_##wc(X) >>= (_FP_WORKBITS); \
165 } \
166 FP_SET_EXCEPTION(FP_EX_UNDERFLOW); \
167 } \
168 } \
169 break; \
170 \
171 case FP_CLS_ZERO: \
172 X##_e = 0; \
173 _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
174 break; \
175 \
176 case FP_CLS_INF: \
177 X##_e = _FP_EXPMAX_##fs; \
178 _FP_FRAC_SET_##wc(X, _FP_ZEROFRAC_##wc); \
179 break; \
180 \
181 case FP_CLS_NAN: \
182 X##_e = _FP_EXPMAX_##fs; \
183 if (!_FP_KEEPNANFRACP) \
184 { \
185 _FP_FRAC_SET_##wc(X, _FP_NANFRAC_##fs); \
186 X##_s = _FP_NANSIGN_##fs; \
187 } \
188 else \
189 _FP_FRAC_HIGH_RAW_##fs(X) |= _FP_QNANBIT_##fs; \
190 break; \
191 } \
192} while (0)
193
194/* This one accepts raw argument and not cooked, returns
195 * 1 if X is a signaling NaN.
196 */
197#define _FP_ISSIGNAN(fs, wc, X) \
198({ \
199 int __ret = 0; \
200 if (X##_e == _FP_EXPMAX_##fs) \
201 { \
202 if (!_FP_FRAC_ZEROP_##wc(X) \
203 && !(_FP_FRAC_HIGH_RAW_##fs(X) & _FP_QNANBIT_##fs)) \
204 __ret = 1; \
205 } \
206 __ret; \
207})
208
209
210
211
212
213/*
214 * Main addition routine. The input values should be cooked.
215 */
216
217#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \
218do { \
219 switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
220 { \
221 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
222 { \
223 /* shift the smaller number so that its exponent matches the larger */ \
224 _FP_I_TYPE diff = X##_e - Y##_e; \
225 \
226 if (diff < 0) \
227 { \
228 diff = -diff; \
229 if (diff <= _FP_WFRACBITS_##fs) \
230 _FP_FRAC_SRS_##wc(X, diff, _FP_WFRACBITS_##fs); \
231 else if (!_FP_FRAC_ZEROP_##wc(X)) \
232 _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
233 R##_e = Y##_e; \
234 } \
235 else \
236 { \
237 if (diff > 0) \
238 { \
239 if (diff <= _FP_WFRACBITS_##fs) \
240 _FP_FRAC_SRS_##wc(Y, diff, _FP_WFRACBITS_##fs); \
241 else if (!_FP_FRAC_ZEROP_##wc(Y)) \
242 _FP_FRAC_SET_##wc(Y, _FP_MINFRAC_##wc); \
243 } \
244 R##_e = X##_e; \
245 } \
246 \
247 R##_c = FP_CLS_NORMAL; \
248 \
249 if (X##_s == Y##_s) \
250 { \
251 R##_s = X##_s; \
252 _FP_FRAC_ADD_##wc(R, X, Y); \
253 if (_FP_FRAC_OVERP_##wc(fs, R)) \
254 { \
255 _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
256 R##_e++; \
257 } \
258 } \
259 else \
260 { \
261 R##_s = X##_s; \
262 _FP_FRAC_SUB_##wc(R, X, Y); \
263 if (_FP_FRAC_ZEROP_##wc(R)) \
264 { \
265 /* return an exact zero */ \
266 if (FP_ROUNDMODE == FP_RND_MINF) \
267 R##_s |= Y##_s; \
268 else \
269 R##_s &= Y##_s; \
270 R##_c = FP_CLS_ZERO; \
271 } \
272 else \
273 { \
274 if (_FP_FRAC_NEGP_##wc(R)) \
275 { \
276 _FP_FRAC_SUB_##wc(R, Y, X); \
277 R##_s = Y##_s; \
278 } \
279 \
280 /* renormalize after subtraction */ \
281 _FP_FRAC_CLZ_##wc(diff, R); \
282 diff -= _FP_WFRACXBITS_##fs; \
283 if (diff) \
284 { \
285 R##_e -= diff; \
286 _FP_FRAC_SLL_##wc(R, diff); \
287 } \
288 } \
289 } \
290 break; \
291 } \
292 \
293 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
294 _FP_CHOOSENAN(fs, wc, R, X, Y, OP); \
295 break; \
296 \
297 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
298 R##_e = X##_e; \
299 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
300 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
301 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
302 _FP_FRAC_COPY_##wc(R, X); \
303 R##_s = X##_s; \
304 R##_c = X##_c; \
305 break; \
306 \
307 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
308 R##_e = Y##_e; \
309 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
310 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
311 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
312 _FP_FRAC_COPY_##wc(R, Y); \
313 R##_s = Y##_s; \
314 R##_c = Y##_c; \
315 break; \
316 \
317 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
318 if (X##_s != Y##_s) \
319 { \
320 /* +INF + -INF => NAN */ \
321 _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
322 R##_s = _FP_NANSIGN_##fs; \
323 R##_c = FP_CLS_NAN; \
324 FP_SET_EXCEPTION(FP_EX_INVALID); \
325 break; \
326 } \
327 /* FALLTHRU */ \
328 \
329 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
330 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
331 R##_s = X##_s; \
332 R##_c = FP_CLS_INF; \
333 break; \
334 \
335 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
336 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
337 R##_s = Y##_s; \
338 R##_c = FP_CLS_INF; \
339 break; \
340 \
341 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
342 /* make sure the sign is correct */ \
343 if (FP_ROUNDMODE == FP_RND_MINF) \
344 R##_s = X##_s | Y##_s; \
345 else \
346 R##_s = X##_s & Y##_s; \
347 R##_c = FP_CLS_ZERO; \
348 break; \
349 \
350 default: \
351 abort(); \
352 } \
353} while (0)
354
355#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL(fs, wc, R, X, Y, '+')
356#define _FP_SUB(fs, wc, R, X, Y) \
357 do { \
358 if (Y##_c != FP_CLS_NAN) Y##_s ^= 1; \
359 _FP_ADD_INTERNAL(fs, wc, R, X, Y, '-'); \
360 } while (0)
361
362
363/*
364 * Main negation routine. FIXME -- when we care about setting exception
365 * bits reliably, this will not do. We should examine all of the fp classes.
366 */
367
368#define _FP_NEG(fs, wc, R, X) \
369 do { \
370 _FP_FRAC_COPY_##wc(R, X); \
371 R##_c = X##_c; \
372 R##_e = X##_e; \
373 R##_s = 1 ^ X##_s; \
374 } while (0)
375
376
377/*
378 * Main multiplication routine. The input values should be cooked.
379 */
380
381#define _FP_MUL(fs, wc, R, X, Y) \
382do { \
383 R##_s = X##_s ^ Y##_s; \
384 switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
385 { \
386 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
387 R##_c = FP_CLS_NORMAL; \
388 R##_e = X##_e + Y##_e + 1; \
389 \
390 _FP_MUL_MEAT_##fs(R,X,Y); \
391 \
392 if (_FP_FRAC_OVERP_##wc(fs, R)) \
393 _FP_FRAC_SRS_##wc(R, 1, _FP_WFRACBITS_##fs); \
394 else \
395 R##_e--; \
396 break; \
397 \
398 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
399 _FP_CHOOSENAN(fs, wc, R, X, Y, '*'); \
400 break; \
401 \
402 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
403 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
404 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
405 R##_s = X##_s; \
406 \
407 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
408 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
409 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
410 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
411 _FP_FRAC_COPY_##wc(R, X); \
412 R##_c = X##_c; \
413 break; \
414 \
415 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
416 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
417 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
418 R##_s = Y##_s; \
419 \
420 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
421 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
422 _FP_FRAC_COPY_##wc(R, Y); \
423 R##_c = Y##_c; \
424 break; \
425 \
426 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
427 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
428 R##_s = _FP_NANSIGN_##fs; \
429 R##_c = FP_CLS_NAN; \
430 _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
431 FP_SET_EXCEPTION(FP_EX_INVALID); \
432 break; \
433 \
434 default: \
435 abort(); \
436 } \
437} while (0)
438
439
440/*
441 * Main division routine. The input values should be cooked.
442 */
443
444#define _FP_DIV(fs, wc, R, X, Y) \
445do { \
446 R##_s = X##_s ^ Y##_s; \
447 switch (_FP_CLS_COMBINE(X##_c, Y##_c)) \
448 { \
449 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NORMAL): \
450 R##_c = FP_CLS_NORMAL; \
451 R##_e = X##_e - Y##_e; \
452 \
453 _FP_DIV_MEAT_##fs(R,X,Y); \
454 break; \
455 \
456 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NAN): \
457 _FP_CHOOSENAN(fs, wc, R, X, Y, '/'); \
458 break; \
459 \
460 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_NORMAL): \
461 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_INF): \
462 case _FP_CLS_COMBINE(FP_CLS_NAN,FP_CLS_ZERO): \
463 R##_s = X##_s; \
464 _FP_FRAC_COPY_##wc(R, X); \
465 R##_c = X##_c; \
466 break; \
467 \
468 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_NAN): \
469 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NAN): \
470 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NAN): \
471 R##_s = Y##_s; \
472 _FP_FRAC_COPY_##wc(R, Y); \
473 R##_c = Y##_c; \
474 break; \
475 \
476 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_INF): \
477 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_INF): \
478 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_NORMAL): \
479 R##_c = FP_CLS_ZERO; \
480 break; \
481 \
482 case _FP_CLS_COMBINE(FP_CLS_NORMAL,FP_CLS_ZERO): \
483 FP_SET_EXCEPTION(FP_EX_DIVZERO); \
484 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_ZERO): \
485 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_NORMAL): \
486 R##_c = FP_CLS_INF; \
487 break; \
488 \
489 case _FP_CLS_COMBINE(FP_CLS_INF,FP_CLS_INF): \
490 case _FP_CLS_COMBINE(FP_CLS_ZERO,FP_CLS_ZERO): \
491 R##_s = _FP_NANSIGN_##fs; \
492 R##_c = FP_CLS_NAN; \
493 _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
494 FP_SET_EXCEPTION(FP_EX_INVALID); \
495 break; \
496 \
497 default: \
498 abort(); \
499 } \
500} while (0)
501
502
503/*
504 * Main differential comparison routine. The inputs should be raw not
505 * cooked. The return is -1,0,1 for normal values, 2 otherwise.
506 */
507
508#define _FP_CMP(fs, wc, ret, X, Y, un) \
509 do { \
510 /* NANs are unordered */ \
511 if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
512 || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \
513 { \
514 ret = un; \
515 } \
516 else \
517 { \
518 int __is_zero_x; \
519 int __is_zero_y; \
520 \
521 __is_zero_x = (!X##_e && _FP_FRAC_ZEROP_##wc(X)) ? 1 : 0; \
522 __is_zero_y = (!Y##_e && _FP_FRAC_ZEROP_##wc(Y)) ? 1 : 0; \
523 \
524 if (__is_zero_x && __is_zero_y) \
525 ret = 0; \
526 else if (__is_zero_x) \
527 ret = Y##_s ? 1 : -1; \
528 else if (__is_zero_y) \
529 ret = X##_s ? -1 : 1; \
530 else if (X##_s != Y##_s) \
531 ret = X##_s ? -1 : 1; \
532 else if (X##_e > Y##_e) \
533 ret = X##_s ? -1 : 1; \
534 else if (X##_e < Y##_e) \
535 ret = X##_s ? 1 : -1; \
536 else if (_FP_FRAC_GT_##wc(X, Y)) \
537 ret = X##_s ? -1 : 1; \
538 else if (_FP_FRAC_GT_##wc(Y, X)) \
539 ret = X##_s ? 1 : -1; \
540 else \
541 ret = 0; \
542 } \
543 } while (0)
544
545
546/* Simplification for strict equality. */
547
548#define _FP_CMP_EQ(fs, wc, ret, X, Y) \
549 do { \
550 /* NANs are unordered */ \
551 if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(X)) \
552 || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc(Y))) \
553 { \
554 ret = 1; \
555 } \
556 else \
557 { \
558 ret = !(X##_e == Y##_e \
559 && _FP_FRAC_EQ_##wc(X, Y) \
560 && (X##_s == Y##_s || !X##_e && _FP_FRAC_ZEROP_##wc(X))); \
561 } \
562 } while (0)
563
564/*
565 * Main square root routine. The input value should be cooked.
566 */
567
568#define _FP_SQRT(fs, wc, R, X) \
569do { \
570 _FP_FRAC_DECL_##wc(T); _FP_FRAC_DECL_##wc(S); \
571 _FP_W_TYPE q; \
572 switch (X##_c) \
573 { \
574 case FP_CLS_NAN: \
575 _FP_FRAC_COPY_##wc(R, X); \
576 R##_s = X##_s; \
577 R##_c = FP_CLS_NAN; \
578 break; \
579 case FP_CLS_INF: \
580 if (X##_s) \
581 { \
582 R##_s = _FP_NANSIGN_##fs; \
583 R##_c = FP_CLS_NAN; /* NAN */ \
584 _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
585 FP_SET_EXCEPTION(FP_EX_INVALID); \
586 } \
587 else \
588 { \
589 R##_s = 0; \
590 R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \
591 } \
592 break; \
593 case FP_CLS_ZERO: \
594 R##_s = X##_s; \
595 R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \
596 break; \
597 case FP_CLS_NORMAL: \
598 R##_s = 0; \
599 if (X##_s) \
600 { \
601 R##_c = FP_CLS_NAN; /* sNAN */ \
602 R##_s = _FP_NANSIGN_##fs; \
603 _FP_FRAC_SET_##wc(R, _FP_NANFRAC_##fs); \
604 FP_SET_EXCEPTION(FP_EX_INVALID); \
605 break; \
606 } \
607 R##_c = FP_CLS_NORMAL; \
608 if (X##_e & 1) \
609 _FP_FRAC_SLL_##wc(X, 1); \
610 R##_e = X##_e >> 1; \
611 _FP_FRAC_SET_##wc(S, _FP_ZEROFRAC_##wc); \
612 _FP_FRAC_SET_##wc(R, _FP_ZEROFRAC_##wc); \
613 q = _FP_OVERFLOW_##fs >> 1; \
614 _FP_SQRT_MEAT_##wc(R, S, T, X, q); \
615 } \
616 } while (0)
617
618/*
619 * Convert from FP to integer
620 */
621
622/* RSIGNED can have following values:
623 * 0: the number is required to be 0..(2^rsize)-1, if not, NV is set plus
624 * the result is either 0 or (2^rsize)-1 depending on the sign in such case.
625 * 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
626 * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
627 * on the sign in such case.
628 * 2: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, NV is
629 * set plus the result is truncated to fit into destination.
630 * -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is
631 * set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 depending
632 * on the sign in such case.
633 */
634#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \
635 do { \
636 switch (X##_c) \
637 { \
638 case FP_CLS_NORMAL: \
639 if (X##_e < 0) \
640 { \
641 FP_SET_EXCEPTION(FP_EX_INEXACT); \
642 case FP_CLS_ZERO: \
643 r = 0; \
644 } \
645 else if (X##_e >= rsize - (rsigned > 0 || X##_s) \
646 || (!rsigned && X##_s)) \
647 { /* overflow */ \
648 case FP_CLS_NAN: \
649 case FP_CLS_INF: \
650 if (rsigned == 2) \
651 { \
652 if (X##_c != FP_CLS_NORMAL \
653 || X##_e >= rsize - 1 + _FP_WFRACBITS_##fs) \
654 r = 0; \
655 else \
656 { \
657 _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \
658 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
659 } \
660 } \
661 else if (rsigned) \
662 { \
663 r = 1; \
664 r <<= rsize - 1; \
665 r -= 1 - X##_s; \
666 } \
667 else \
668 { \
669 r = 0; \
670 if (X##_s) \
671 r = ~r; \
672 } \
673 FP_SET_EXCEPTION(FP_EX_INVALID); \
674 } \
675 else \
676 { \
677 if (_FP_W_TYPE_SIZE*wc < rsize) \
678 { \
679 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
680 r <<= X##_e - _FP_WFRACBITS_##fs; \
681 } \
682 else \
683 { \
684 if (X##_e >= _FP_WFRACBITS_##fs) \
685 _FP_FRAC_SLL_##wc(X, (X##_e - _FP_WFRACBITS_##fs + 1)); \
686 else if (X##_e < _FP_WFRACBITS_##fs - 1) \
687 { \
688 _FP_FRAC_SRS_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 2), \
689 _FP_WFRACBITS_##fs); \
690 if (_FP_FRAC_LOW_##wc(X) & 1) \
691 FP_SET_EXCEPTION(FP_EX_INEXACT); \
692 _FP_FRAC_SRL_##wc(X, 1); \
693 } \
694 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
695 } \
696 if (rsigned && X##_s) \
697 r = -r; \
698 } \
699 break; \
700 } \
701 } while (0)
702
703#define _FP_TO_INT_ROUND(fs, wc, r, X, rsize, rsigned) \
704 do { \
705 r = 0; \
706 switch (X##_c) \
707 { \
708 case FP_CLS_NORMAL: \
709 if (X##_e >= _FP_FRACBITS_##fs - 1) \
710 { \
711 if (X##_e < rsize - 1 + _FP_WFRACBITS_##fs) \
712 { \
713 if (X##_e >= _FP_WFRACBITS_##fs - 1) \
714 { \
715 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
716 r <<= X##_e - _FP_WFRACBITS_##fs + 1; \
717 } \
718 else \
719 { \
720 _FP_FRAC_SRL_##wc(X, _FP_WORKBITS - X##_e \
721 + _FP_FRACBITS_##fs - 1); \
722 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
723 } \
724 } \
725 } \
726 else \
727 { \
728 if (X##_e <= -_FP_WORKBITS - 1) \
729 _FP_FRAC_SET_##wc(X, _FP_MINFRAC_##wc); \
730 else \
731 _FP_FRAC_SRS_##wc(X, _FP_FRACBITS_##fs - 1 - X##_e, \
732 _FP_WFRACBITS_##fs); \
733 _FP_ROUND(wc, X); \
734 _FP_FRAC_SRL_##wc(X, _FP_WORKBITS); \
735 _FP_FRAC_ASSEMBLE_##wc(r, X, rsize); \
736 } \
737 if (rsigned && X##_s) \
738 r = -r; \
739 if (X##_e >= rsize - (rsigned > 0 || X##_s) \
740 || (!rsigned && X##_s)) \
741 { /* overflow */ \
742 case FP_CLS_NAN: \
743 case FP_CLS_INF: \
744 if (!rsigned) \
745 { \
746 r = 0; \
747 if (X##_s) \
748 r = ~r; \
749 } \
750 else if (rsigned != 2) \
751 { \
752 r = 1; \
753 r <<= rsize - 1; \
754 r -= 1 - X##_s; \
755 } \
756 FP_SET_EXCEPTION(FP_EX_INVALID); \
757 } \
758 break; \
759 case FP_CLS_ZERO: \
760 break; \
761 } \
762 } while (0)
763
764#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \
765 do { \
766 if (r) \
767 { \
768 unsigned rtype ur_; \
769 X##_c = FP_CLS_NORMAL; \
770 \
771 if ((X##_s = (r < 0))) \
772 ur_ = (unsigned rtype) -r; \
773 else \
774 ur_ = (unsigned rtype) r; \
775 if (rsize <= _FP_W_TYPE_SIZE) \
776 __FP_CLZ(X##_e, ur_); \
777 else \
778 __FP_CLZ_2(X##_e, (_FP_W_TYPE)(ur_ >> _FP_W_TYPE_SIZE), \
779 (_FP_W_TYPE)ur_); \
780 if (rsize < _FP_W_TYPE_SIZE) \
781 X##_e -= (_FP_W_TYPE_SIZE - rsize); \
782 X##_e = rsize - X##_e - 1; \
783 \
784 if (_FP_FRACBITS_##fs < rsize && _FP_WFRACBITS_##fs < X##_e) \
785 __FP_FRAC_SRS_1(ur_, (X##_e - _FP_WFRACBITS_##fs + 1), rsize);\
786 _FP_FRAC_DISASSEMBLE_##wc(X, ur_, rsize); \
787 if ((_FP_WFRACBITS_##fs - X##_e - 1) > 0) \
788 _FP_FRAC_SLL_##wc(X, (_FP_WFRACBITS_##fs - X##_e - 1)); \
789 } \
790 else \
791 { \
792 X##_c = FP_CLS_ZERO, X##_s = 0; \
793 } \
794 } while (0)
795
796
797#define FP_CONV(dfs,sfs,dwc,swc,D,S) \
798 do { \
799 _FP_FRAC_CONV_##dwc##_##swc(dfs, sfs, D, S); \
800 D##_e = S##_e; \
801 D##_c = S##_c; \
802 D##_s = S##_s; \
803 } while (0)
804
805/*
806 * Helper primitives.
807 */
808
809/* Count leading zeros in a word. */
810
811#ifndef __FP_CLZ
812#if _FP_W_TYPE_SIZE < 64
813/* this is just to shut the compiler up about shifts > word length -- PMM 02/1998 */
814#define __FP_CLZ(r, x) \
815 do { \
816 _FP_W_TYPE _t = (x); \
817 r = _FP_W_TYPE_SIZE - 1; \
818 if (_t > 0xffff) r -= 16; \
819 if (_t > 0xffff) _t >>= 16; \
820 if (_t > 0xff) r -= 8; \
821 if (_t > 0xff) _t >>= 8; \
822 if (_t & 0xf0) r -= 4; \
823 if (_t & 0xf0) _t >>= 4; \
824 if (_t & 0xc) r -= 2; \
825 if (_t & 0xc) _t >>= 2; \
826 if (_t & 0x2) r -= 1; \
827 } while (0)
828#else /* not _FP_W_TYPE_SIZE < 64 */
829#define __FP_CLZ(r, x) \
830 do { \
831 _FP_W_TYPE _t = (x); \
832 r = _FP_W_TYPE_SIZE - 1; \
833 if (_t > 0xffffffff) r -= 32; \
834 if (_t > 0xffffffff) _t >>= 32; \
835 if (_t > 0xffff) r -= 16; \
836 if (_t > 0xffff) _t >>= 16; \
837 if (_t > 0xff) r -= 8; \
838 if (_t > 0xff) _t >>= 8; \
839 if (_t & 0xf0) r -= 4; \
840 if (_t & 0xf0) _t >>= 4; \
841 if (_t & 0xc) r -= 2; \
842 if (_t & 0xc) _t >>= 2; \
843 if (_t & 0x2) r -= 1; \
844 } while (0)
845#endif /* not _FP_W_TYPE_SIZE < 64 */
846#endif /* ndef __FP_CLZ */
847
848#define _FP_DIV_HELP_imm(q, r, n, d) \
849 do { \
850 q = n / d, r = n % d; \
851 } while (0)
852
853#endif /* __MATH_EMU_OP_COMMON_H__ */
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