File: /usr/src/linux/arch/mips64/math-emu/ieee754.h
1 /* single and double precision fp ops
2 * missing extended precision.
3 */
4 /*
5 * MIPS floating point support
6 * Copyright (C) 1994-2000 Algorithmics Ltd. All rights reserved.
7 * http://www.algor.co.uk
8 *
9 * ########################################################################
10 *
11 * This program is free software; you can distribute it and/or modify it
12 * under the terms of the GNU General Public License (Version 2) as
13 * published by the Free Software Foundation.
14 *
15 * This program is distributed in the hope it will be useful, but WITHOUT
16 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
17 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
18 * for more details.
19 *
20 * You should have received a copy of the GNU General Public License along
21 * with this program; if not, write to the Free Software Foundation, Inc.,
22 * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
23 *
24 * ########################################################################
25 */
26
27 /**************************************************************************
28 * Nov 7, 2000
29 * Modification to allow integration with Linux kernel
30 *
31 * Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com
32 * Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
33 *************************************************************************/
34
35 #ifdef __KERNEL__
36 /* Going from Algorithmics to Linux native environment, add this */
37 #include <linux/types.h>
38
39 /*
40 * Not very pretty, but the Linux kernel's normal va_list definition
41 * does not allow it to be used as a structure element, as it is here.
42 */
43 #ifndef _STDARG_H
44 #include <stdarg.h>
45 #endif
46
47 #else
48
49 /* Note that __KERNEL__ is taken to mean Linux kernel */
50
51 #if #system(OpenBSD)
52 #include <machine/types.h>
53 #endif
54 #include <machine/endian.h>
55
56 #endif /* __KERNEL__ */
57
58 #if (defined(BYTE_ORDER) && BYTE_ORDER == LITTLE_ENDIAN) || defined(__MIPSEL__)
59 struct ieee754dp_konst {
60 unsigned mantlo:32;
61 unsigned manthi:20;
62 unsigned bexp:11;
63 unsigned sign:1;
64 };
65 struct ieee754sp_konst {
66 unsigned mant:23;
67 unsigned bexp:8;
68 unsigned sign:1;
69 };
70
71 typedef union _ieee754dp {
72 struct ieee754dp_konst oparts;
73 struct {
74 unsigned long long mant:52;
75 unsigned int bexp:11;
76 unsigned int sign:1;
77 } parts;
78 unsigned long long bits;
79 double d;
80 } ieee754dp;
81
82 typedef union _ieee754sp {
83 struct ieee754sp_konst parts;
84 float f;
85 unsigned long bits;
86 } ieee754sp;
87 #endif
88
89 #if (defined(BYTE_ORDER) && BYTE_ORDER == BIG_ENDIAN) || defined(__MIPSEB__)
90 struct ieee754dp_konst {
91 unsigned sign:1;
92 unsigned bexp:11;
93 unsigned manthi:20;
94 unsigned mantlo:32;
95 };
96 typedef union _ieee754dp {
97 struct ieee754dp_konst oparts;
98 struct {
99 unsigned int sign:1;
100 unsigned int bexp:11;
101 unsigned long long mant:52;
102 } parts;
103 double d;
104 unsigned long long bits;
105 } ieee754dp;
106
107 struct ieee754sp_konst {
108 unsigned sign:1;
109 unsigned bexp:8;
110 unsigned mant:23;
111 };
112
113 typedef union _ieee754sp {
114 struct ieee754sp_konst parts;
115 float f;
116 unsigned long bits;
117 } ieee754sp;
118 #endif
119
120 /*
121 * single precision (often aka float)
122 */
123 int ieee754sp_finite(ieee754sp x);
124 int ieee754sp_class(ieee754sp x);
125
126 ieee754sp ieee754sp_abs(ieee754sp x);
127 ieee754sp ieee754sp_neg(ieee754sp x);
128 ieee754sp ieee754sp_scalb(ieee754sp x, int);
129 ieee754sp ieee754sp_logb(ieee754sp x);
130
131 /* x with sign of y */
132 ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);
133
134 ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);
135 ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);
136 ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);
137 ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);
138
139 ieee754sp ieee754sp_fint(int x);
140 ieee754sp ieee754sp_funs(unsigned x);
141 ieee754sp ieee754sp_flong(long long x);
142 ieee754sp ieee754sp_fulong(unsigned long long x);
143 ieee754sp ieee754sp_fdp(ieee754dp x);
144
145 int ieee754sp_tint(ieee754sp x);
146 unsigned int ieee754sp_tuns(ieee754sp x);
147 long long ieee754sp_tlong(ieee754sp x);
148 unsigned long long ieee754sp_tulong(ieee754sp x);
149
150 int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop);
151 /*
152 * basic sp math
153 */
154 ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);
155 ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);
156 ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);
157
158 ieee754sp ieee754sp_ceil(ieee754sp x);
159 ieee754sp ieee754sp_floor(ieee754sp x);
160 ieee754sp ieee754sp_trunc(ieee754sp x);
161
162 ieee754sp ieee754sp_sqrt(ieee754sp x);
163
164 /*
165 * double precision (often aka double)
166 */
167 int ieee754dp_finite(ieee754dp x);
168 int ieee754dp_class(ieee754dp x);
169
170 /* x with sign of y */
171 ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);
172
173 ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);
174 ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);
175 ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);
176 ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);
177
178 ieee754dp ieee754dp_abs(ieee754dp x);
179 ieee754dp ieee754dp_neg(ieee754dp x);
180 ieee754dp ieee754dp_scalb(ieee754dp x, int);
181
182 /* return exponent as integer in floating point format
183 */
184 ieee754dp ieee754dp_logb(ieee754dp x);
185
186 ieee754dp ieee754dp_fint(int x);
187 ieee754dp ieee754dp_funs(unsigned x);
188 ieee754dp ieee754dp_flong(long long x);
189 ieee754dp ieee754dp_fulong(unsigned long long x);
190 ieee754dp ieee754dp_fsp(ieee754sp x);
191
192 ieee754dp ieee754dp_ceil(ieee754dp x);
193 ieee754dp ieee754dp_floor(ieee754dp x);
194 ieee754dp ieee754dp_trunc(ieee754dp x);
195
196 int ieee754dp_tint(ieee754dp x);
197 unsigned int ieee754dp_tuns(ieee754dp x);
198 long long ieee754dp_tlong(ieee754dp x);
199 unsigned long long ieee754dp_tulong(ieee754dp x);
200
201 int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop);
202 /*
203 * basic sp math
204 */
205 ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);
206 ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);
207 ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);
208
209 ieee754dp ieee754dp_ceil(ieee754dp x);
210 ieee754dp ieee754dp_floor(ieee754dp x);
211 ieee754dp ieee754dp_trunc(ieee754dp x);
212
213 ieee754dp ieee754dp_sqrt(ieee754dp x);
214
215
216
217 /* 5 types of floating point number
218 */
219 #define IEEE754_CLASS_NORM 0x00
220 #define IEEE754_CLASS_ZERO 0x01
221 #define IEEE754_CLASS_DNORM 0x02
222 #define IEEE754_CLASS_INF 0x03
223 #define IEEE754_CLASS_SNAN 0x04
224 #define IEEE754_CLASS_QNAN 0x05
225 extern const char *const ieee754_cname[];
226
227 /* exception numbers */
228 #define IEEE754_INEXACT 0x01
229 #define IEEE754_UNDERFLOW 0x02
230 #define IEEE754_OVERFLOW 0x04
231 #define IEEE754_ZERO_DIVIDE 0x08
232 #define IEEE754_INVALID_OPERATION 0x10
233
234 /* cmp operators
235 */
236 #define IEEE754_CLT 0x01
237 #define IEEE754_CEQ 0x02
238 #define IEEE754_CGT 0x04
239 #define IEEE754_CUN 0x08
240
241 /* rounding mode
242 */
243 #define IEEE754_RN 0 /* round to nearest */
244 #define IEEE754_RZ 1 /* round toward zero */
245 #define IEEE754_RD 2 /* round toward -Infinity */
246 #define IEEE754_RU 3 /* round toward +Infinity */
247
248 /* other naming */
249 #define IEEE754_RM IEEE754_RD
250 #define IEEE754_RP IEEE754_RU
251
252 /* "normal" comparisons
253 */
254 static __inline int ieee754sp_eq(ieee754sp x, ieee754sp y)
255 {
256 return ieee754sp_cmp(x, y, IEEE754_CEQ);
257 }
258
259 static __inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
260 {
261 return ieee754sp_cmp(x, y,
262 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN);
263 }
264
265 static __inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
266 {
267 return ieee754sp_cmp(x, y, IEEE754_CLT);
268 }
269
270 static __inline int ieee754sp_le(ieee754sp x, ieee754sp y)
271 {
272 return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ);
273 }
274
275 static __inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
276 {
277 return ieee754sp_cmp(x, y, IEEE754_CGT);
278 }
279
280
281 static __inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
282 {
283 return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ);
284 }
285
286 static __inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
287 {
288 return ieee754dp_cmp(x, y, IEEE754_CEQ);
289 }
290
291 static __inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
292 {
293 return ieee754dp_cmp(x, y,
294 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN);
295 }
296
297 static __inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
298 {
299 return ieee754dp_cmp(x, y, IEEE754_CLT);
300 }
301
302 static __inline int ieee754dp_le(ieee754dp x, ieee754dp y)
303 {
304 return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ);
305 }
306
307 static __inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
308 {
309 return ieee754dp_cmp(x, y, IEEE754_CGT);
310 }
311
312 static __inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
313 {
314 return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ);
315 }
316
317
318 /* like strtod
319 */
320 ieee754dp ieee754dp_fstr(const char *s, char **endp);
321 char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);
322
323
324 /* the control status register
325 */
326 struct ieee754_csr {
327 unsigned pad:13;
328 unsigned noq:1; /* set 1 for no quiet NaN's */
329 unsigned nod:1; /* set 1 for no denormalised numbers */
330 unsigned cx:5; /* exceptions this operation */
331 unsigned mx:5; /* exception enable mask */
332 unsigned sx:5; /* exceptions total */
333 unsigned rm:2; /* current rounding mode */
334 };
335 extern struct ieee754_csr ieee754_csr;
336
337 static __inline unsigned ieee754_getrm(void)
338 {
339 return (ieee754_csr.rm);
340 }
341 static __inline unsigned ieee754_setrm(unsigned rm)
342 {
343 return (ieee754_csr.rm = rm);
344 }
345
346 /*
347 * get current exceptions
348 */
349 static __inline unsigned ieee754_getcx(void)
350 {
351 return (ieee754_csr.cx);
352 }
353
354 /* test for current exception condition
355 */
356 static __inline int ieee754_cxtest(unsigned n)
357 {
358 return (ieee754_csr.cx & n);
359 }
360
361 /*
362 * get sticky exceptions
363 */
364 static __inline unsigned ieee754_getsx(void)
365 {
366 return (ieee754_csr.sx);
367 }
368
369 /* clear sticky conditions
370 */
371 static __inline unsigned ieee754_clrsx(void)
372 {
373 return (ieee754_csr.sx = 0);
374 }
375
376 /* test for sticky exception condition
377 */
378 static __inline int ieee754_sxtest(unsigned n)
379 {
380 return (ieee754_csr.sx & n);
381 }
382
383 /* debugging */
384 ieee754sp ieee754sp_dump(char *s, ieee754sp x);
385 ieee754dp ieee754dp_dump(char *s, ieee754dp x);
386
387 #define IEEE754_SPCVAL_PZERO 0
388 #define IEEE754_SPCVAL_NZERO 1
389 #define IEEE754_SPCVAL_PONE 2
390 #define IEEE754_SPCVAL_NONE 3
391 #define IEEE754_SPCVAL_PTEN 4
392 #define IEEE754_SPCVAL_NTEN 5
393 #define IEEE754_SPCVAL_PINFINITY 6
394 #define IEEE754_SPCVAL_NINFINITY 7
395 #define IEEE754_SPCVAL_INDEF 8
396 #define IEEE754_SPCVAL_PMAX 9 /* +max norm */
397 #define IEEE754_SPCVAL_NMAX 10 /* -max norm */
398 #define IEEE754_SPCVAL_PMIN 11 /* +min norm */
399 #define IEEE754_SPCVAL_NMIN 12 /* +min norm */
400 #define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
401 #define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
402 #define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
403 #define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
404
405 extern const struct ieee754dp_konst __ieee754dp_spcvals[];
406 extern const struct ieee754sp_konst __ieee754sp_spcvals[];
407 #define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)
408 #define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)
409
410 /* return infinity with given sign
411 */
412 #define ieee754dp_inf(sn) \
413 (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
414 #define ieee754dp_zero(sn) \
415 (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
416 #define ieee754dp_one(sn) \
417 (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
418 #define ieee754dp_ten(sn) \
419 (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
420 #define ieee754dp_indef() \
421 (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
422 #define ieee754dp_max(sn) \
423 (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
424 #define ieee754dp_min(sn) \
425 (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
426 #define ieee754dp_mind(sn) \
427 (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
428 #define ieee754dp_1e31() \
429 (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
430 #define ieee754dp_1e63() \
431 (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
432
433 #define ieee754sp_inf(sn) \
434 (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
435 #define ieee754sp_zero(sn) \
436 (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
437 #define ieee754sp_one(sn) \
438 (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
439 #define ieee754sp_ten(sn) \
440 (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
441 #define ieee754sp_indef() \
442 (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
443 #define ieee754sp_max(sn) \
444 (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
445 #define ieee754sp_min(sn) \
446 (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
447 #define ieee754sp_mind(sn) \
448 (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
449 #define ieee754sp_1e31() \
450 (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
451 #define ieee754sp_1e63() \
452 (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
453
454 /* indefinite integer value
455 */
456 #define ieee754si_indef() INT_MIN
457 #ifdef LONG_LONG_MIN
458 #define ieee754di_indef() LONG_LONG_MIN
459 #else
460 #define ieee754di_indef() (-9223372036854775807LL-1)
461 #endif
462
463 /* IEEE exception context, passed to handler */
464 struct ieee754xctx {
465 const char *op; /* operation name */
466 int rt; /* result type */
467 union {
468 ieee754sp sp; /* single precision */
469 ieee754dp dp; /* double precision */
470 #ifdef IEEE854_XP
471 ieee754xp xp; /* extended precision */
472 #endif
473 int si; /* standard signed integer (32bits) */
474 long long di; /* extended signed integer (64bits) */
475 } rv; /* default result format implied by op */
476 va_list ap;
477 };
478
479 /* result types for xctx.rt */
480 #define IEEE754_RT_SP 0
481 #define IEEE754_RT_DP 1
482 #define IEEE754_RT_XP 2
483 #define IEEE754_RT_SI 3
484 #define IEEE754_RT_DI 4
485
486 extern void ieee754_xcpt(struct ieee754xctx *xcp);
487
488 /* compat */
489 #define ieee754dp_fix(x) ieee754dp_tint(x)
490 #define ieee754sp_fix(x) ieee754sp_tint(x)
491