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authorLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 18:20:36 -0400
committerLinus Torvalds <torvalds@ppc970.osdl.org>2005-04-16 18:20:36 -0400
commit1da177e4c3f41524e886b7f1b8a0c1fc7321cac2 (patch)
tree0bba044c4ce775e45a88a51686b5d9f90697ea9d /arch/mips/math-emu/ieee754.h
Linux-2.6.12-rc2
Initial git repository build. I'm not bothering with the full history, even though we have it. We can create a separate "historical" git archive of that later if we want to, and in the meantime it's about 3.2GB when imported into git - space that would just make the early git days unnecessarily complicated, when we don't have a lot of good infrastructure for it. Let it rip!
Diffstat (limited to 'arch/mips/math-emu/ieee754.h')
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1 files changed, 489 insertions, 0 deletions
diff --git a/arch/mips/math-emu/ieee754.h b/arch/mips/math-emu/ieee754.h
new file mode 100644
index 000000000000..b8772f46972d
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+++ b/arch/mips/math-emu/ieee754.h
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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.
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__)
59struct ieee754dp_konst {
60 unsigned mantlo:32;
61 unsigned manthi:20;
62 unsigned bexp:11;
63 unsigned sign:1;
64};
65struct ieee754sp_konst {
66 unsigned mant:23;
67 unsigned bexp:8;
68 unsigned sign:1;
69};
70
71typedef union _ieee754dp {
72 struct ieee754dp_konst oparts;
73 struct {
74 u64 mant:52;
75 unsigned int bexp:11;
76 unsigned int sign:1;
77 } parts;
78 u64 bits;
79 double d;
80} ieee754dp;
81
82typedef union _ieee754sp {
83 struct ieee754sp_konst parts;
84 float f;
85 u32 bits;
86} ieee754sp;
87#endif
88
89#if (defined(BYTE_ORDER) && BYTE_ORDER == BIG_ENDIAN) || defined(__MIPSEB__)
90struct ieee754dp_konst {
91 unsigned sign:1;
92 unsigned bexp:11;
93 unsigned manthi:20;
94 unsigned mantlo:32;
95};
96typedef union _ieee754dp {
97 struct ieee754dp_konst oparts;
98 struct {
99 unsigned int sign:1;
100 unsigned int bexp:11;
101 u64 mant:52;
102 } parts;
103 double d;
104 u64 bits;
105} ieee754dp;
106
107struct ieee754sp_konst {
108 unsigned sign:1;
109 unsigned bexp:8;
110 unsigned mant:23;
111};
112
113typedef union _ieee754sp {
114 struct ieee754sp_konst parts;
115 float f;
116 u32 bits;
117} ieee754sp;
118#endif
119
120/*
121 * single precision (often aka float)
122*/
123int ieee754sp_finite(ieee754sp x);
124int ieee754sp_class(ieee754sp x);
125
126ieee754sp ieee754sp_abs(ieee754sp x);
127ieee754sp ieee754sp_neg(ieee754sp x);
128ieee754sp ieee754sp_scalb(ieee754sp x, int);
129ieee754sp ieee754sp_logb(ieee754sp x);
130
131/* x with sign of y */
132ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);
133
134ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);
135ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);
136ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);
137ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);
138
139ieee754sp ieee754sp_fint(int x);
140ieee754sp ieee754sp_funs(unsigned x);
141ieee754sp ieee754sp_flong(s64 x);
142ieee754sp ieee754sp_fulong(u64 x);
143ieee754sp ieee754sp_fdp(ieee754dp x);
144
145int ieee754sp_tint(ieee754sp x);
146unsigned int ieee754sp_tuns(ieee754sp x);
147s64 ieee754sp_tlong(ieee754sp x);
148u64 ieee754sp_tulong(ieee754sp x);
149
150int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop, int sig);
151/*
152 * basic sp math
153 */
154ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);
155ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);
156ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);
157
158ieee754sp ieee754sp_ceil(ieee754sp x);
159ieee754sp ieee754sp_floor(ieee754sp x);
160ieee754sp ieee754sp_trunc(ieee754sp x);
161
162ieee754sp ieee754sp_sqrt(ieee754sp x);
163
164/*
165 * double precision (often aka double)
166*/
167int ieee754dp_finite(ieee754dp x);
168int ieee754dp_class(ieee754dp x);
169
170/* x with sign of y */
171ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);
172
173ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);
174ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);
175ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);
176ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);
177
178ieee754dp ieee754dp_abs(ieee754dp x);
179ieee754dp ieee754dp_neg(ieee754dp x);
180ieee754dp ieee754dp_scalb(ieee754dp x, int);
181
182/* return exponent as integer in floating point format
183 */
184ieee754dp ieee754dp_logb(ieee754dp x);
185
186ieee754dp ieee754dp_fint(int x);
187ieee754dp ieee754dp_funs(unsigned x);
188ieee754dp ieee754dp_flong(s64 x);
189ieee754dp ieee754dp_fulong(u64 x);
190ieee754dp ieee754dp_fsp(ieee754sp x);
191
192ieee754dp ieee754dp_ceil(ieee754dp x);
193ieee754dp ieee754dp_floor(ieee754dp x);
194ieee754dp ieee754dp_trunc(ieee754dp x);
195
196int ieee754dp_tint(ieee754dp x);
197unsigned int ieee754dp_tuns(ieee754dp x);
198s64 ieee754dp_tlong(ieee754dp x);
199u64 ieee754dp_tulong(ieee754dp x);
200
201int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop, int sig);
202/*
203 * basic sp math
204 */
205ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);
206ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);
207ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);
208
209ieee754dp ieee754dp_ceil(ieee754dp x);
210ieee754dp ieee754dp_floor(ieee754dp x);
211ieee754dp ieee754dp_trunc(ieee754dp x);
212
213ieee754dp 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
225extern 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*/
254static __inline int ieee754sp_eq(ieee754sp x, ieee754sp y)
255{
256 return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
257}
258
259static __inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
260{
261 return ieee754sp_cmp(x, y,
262 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
263}
264
265static __inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
266{
267 return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
268}
269
270static __inline int ieee754sp_le(ieee754sp x, ieee754sp y)
271{
272 return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
273}
274
275static __inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
276{
277 return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
278}
279
280
281static __inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
282{
283 return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
284}
285
286static __inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
287{
288 return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
289}
290
291static __inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
292{
293 return ieee754dp_cmp(x, y,
294 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
295}
296
297static __inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
298{
299 return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
300}
301
302static __inline int ieee754dp_le(ieee754dp x, ieee754dp y)
303{
304 return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
305}
306
307static __inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
308{
309 return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
310}
311
312static __inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
313{
314 return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
315}
316
317
318/* like strtod
319*/
320ieee754dp ieee754dp_fstr(const char *s, char **endp);
321char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);
322
323
324/* the control status register
325*/
326struct ieee754_csr {
327 unsigned pad:13;
328 unsigned nod:1; /* set 1 for no denormalised numbers */
329 unsigned cx:5; /* exceptions this operation */
330 unsigned mx:5; /* exception enable mask */
331 unsigned sx:5; /* exceptions total */
332 unsigned rm:2; /* current rounding mode */
333};
334extern struct ieee754_csr ieee754_csr;
335
336static __inline unsigned ieee754_getrm(void)
337{
338 return (ieee754_csr.rm);
339}
340static __inline unsigned ieee754_setrm(unsigned rm)
341{
342 return (ieee754_csr.rm = rm);
343}
344
345/*
346 * get current exceptions
347 */
348static __inline unsigned ieee754_getcx(void)
349{
350 return (ieee754_csr.cx);
351}
352
353/* test for current exception condition
354 */
355static __inline int ieee754_cxtest(unsigned n)
356{
357 return (ieee754_csr.cx & n);
358}
359
360/*
361 * get sticky exceptions
362 */
363static __inline unsigned ieee754_getsx(void)
364{
365 return (ieee754_csr.sx);
366}
367
368/* clear sticky conditions
369*/
370static __inline unsigned ieee754_clrsx(void)
371{
372 return (ieee754_csr.sx = 0);
373}
374
375/* test for sticky exception condition
376 */
377static __inline int ieee754_sxtest(unsigned n)
378{
379 return (ieee754_csr.sx & n);
380}
381
382/* debugging */
383ieee754sp ieee754sp_dump(char *s, ieee754sp x);
384ieee754dp ieee754dp_dump(char *s, ieee754dp x);
385
386#define IEEE754_SPCVAL_PZERO 0
387#define IEEE754_SPCVAL_NZERO 1
388#define IEEE754_SPCVAL_PONE 2
389#define IEEE754_SPCVAL_NONE 3
390#define IEEE754_SPCVAL_PTEN 4
391#define IEEE754_SPCVAL_NTEN 5
392#define IEEE754_SPCVAL_PINFINITY 6
393#define IEEE754_SPCVAL_NINFINITY 7
394#define IEEE754_SPCVAL_INDEF 8
395#define IEEE754_SPCVAL_PMAX 9 /* +max norm */
396#define IEEE754_SPCVAL_NMAX 10 /* -max norm */
397#define IEEE754_SPCVAL_PMIN 11 /* +min norm */
398#define IEEE754_SPCVAL_NMIN 12 /* +min norm */
399#define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
400#define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
401#define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
402#define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
403
404extern const struct ieee754dp_konst __ieee754dp_spcvals[];
405extern const struct ieee754sp_konst __ieee754sp_spcvals[];
406#define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)
407#define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)
408
409/* return infinity with given sign
410*/
411#define ieee754dp_inf(sn) \
412 (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
413#define ieee754dp_zero(sn) \
414 (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
415#define ieee754dp_one(sn) \
416 (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
417#define ieee754dp_ten(sn) \
418 (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
419#define ieee754dp_indef() \
420 (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
421#define ieee754dp_max(sn) \
422 (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
423#define ieee754dp_min(sn) \
424 (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
425#define ieee754dp_mind(sn) \
426 (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
427#define ieee754dp_1e31() \
428 (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
429#define ieee754dp_1e63() \
430 (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
431
432#define ieee754sp_inf(sn) \
433 (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
434#define ieee754sp_zero(sn) \
435 (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
436#define ieee754sp_one(sn) \
437 (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
438#define ieee754sp_ten(sn) \
439 (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
440#define ieee754sp_indef() \
441 (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
442#define ieee754sp_max(sn) \
443 (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
444#define ieee754sp_min(sn) \
445 (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
446#define ieee754sp_mind(sn) \
447 (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
448#define ieee754sp_1e31() \
449 (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
450#define ieee754sp_1e63() \
451 (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
452
453/* indefinite integer value
454*/
455#define ieee754si_indef() INT_MAX
456#ifdef LONG_LONG_MAX
457#define ieee754di_indef() LONG_LONG_MAX
458#else
459#define ieee754di_indef() ((s64)(~0ULL>>1))
460#endif
461
462/* IEEE exception context, passed to handler */
463struct ieee754xctx {
464 const char *op; /* operation name */
465 int rt; /* result type */
466 union {
467 ieee754sp sp; /* single precision */
468 ieee754dp dp; /* double precision */
469#ifdef IEEE854_XP
470 ieee754xp xp; /* extended precision */
471#endif
472 int si; /* standard signed integer (32bits) */
473 s64 di; /* extended signed integer (64bits) */
474 } rv; /* default result format implied by op */
475 va_list ap;
476};
477
478/* result types for xctx.rt */
479#define IEEE754_RT_SP 0
480#define IEEE754_RT_DP 1
481#define IEEE754_RT_XP 2
482#define IEEE754_RT_SI 3
483#define IEEE754_RT_DI 4
484
485extern void ieee754_xcpt(struct ieee754xctx *xcp);
486
487/* compat */
488#define ieee754dp_fix(x) ieee754dp_tint(x)
489#define ieee754sp_fix(x) ieee754sp_tint(x)