blob: 171f177c0f88a66ac84159baa7dabe54be612adf [file] [log] [blame]
Linus Torvalds1da177e2005-04-16 15:20:36 -07001/*
2 * MIPS floating point support
3 * Copyright (C) 1994-2000 Algorithmics Ltd.
4 * http://www.algor.co.uk
5 *
Linus Torvalds1da177e2005-04-16 15:20:36 -07006 * This program is free software; you can distribute it and/or modify it
7 * under the terms of the GNU General Public License (Version 2) as
8 * published by the Free Software Foundation.
9 *
10 * This program is distributed in the hope it will be useful, but WITHOUT
11 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
12 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
13 * for more details.
14 *
15 * You should have received a copy of the GNU General Public License along
16 * with this program; if not, write to the Free Software Foundation, Inc.,
17 * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
18 *
Linus Torvalds1da177e2005-04-16 15:20:36 -070019 * Nov 7, 2000
20 * Modification to allow integration with Linux kernel
21 *
22 * Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com
23 * Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000024 */
Ralf Baechlea663bf92005-10-23 13:44:31 +010025#ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H
26#define __ARCH_MIPS_MATH_EMU_IEEE754_H
Linus Torvalds1da177e2005-04-16 15:20:36 -070027
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000028#include <asm/byteorder.h>
Linus Torvalds1da177e2005-04-16 15:20:36 -070029#include <linux/types.h>
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000030#include <linux/sched.h>
Linus Torvalds1da177e2005-04-16 15:20:36 -070031
32/*
33 * Not very pretty, but the Linux kernel's normal va_list definition
34 * does not allow it to be used as a structure element, as it is here.
35 */
36#ifndef _STDARG_H
37#include <stdarg.h>
38#endif
39
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000040#ifdef __LITTLE_ENDIAN
Linus Torvalds1da177e2005-04-16 15:20:36 -070041struct ieee754dp_konst {
42 unsigned mantlo:32;
43 unsigned manthi:20;
44 unsigned bexp:11;
45 unsigned sign:1;
46};
47struct ieee754sp_konst {
48 unsigned mant:23;
49 unsigned bexp:8;
50 unsigned sign:1;
51};
52
53typedef union _ieee754dp {
54 struct ieee754dp_konst oparts;
55 struct {
56 u64 mant:52;
57 unsigned int bexp:11;
58 unsigned int sign:1;
59 } parts;
60 u64 bits;
61 double d;
62} ieee754dp;
63
64typedef union _ieee754sp {
65 struct ieee754sp_konst parts;
66 float f;
67 u32 bits;
68} ieee754sp;
69#endif
70
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000071#ifdef __BIG_ENDIAN
Linus Torvalds1da177e2005-04-16 15:20:36 -070072struct ieee754dp_konst {
73 unsigned sign:1;
74 unsigned bexp:11;
75 unsigned manthi:20;
76 unsigned mantlo:32;
77};
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000078
Linus Torvalds1da177e2005-04-16 15:20:36 -070079typedef union _ieee754dp {
80 struct ieee754dp_konst oparts;
81 struct {
82 unsigned int sign:1;
83 unsigned int bexp:11;
84 u64 mant:52;
85 } parts;
86 double d;
87 u64 bits;
88} ieee754dp;
89
90struct ieee754sp_konst {
91 unsigned sign:1;
92 unsigned bexp:8;
93 unsigned mant:23;
94};
95
96typedef union _ieee754sp {
97 struct ieee754sp_konst parts;
98 float f;
99 u32 bits;
100} ieee754sp;
101#endif
102
103/*
104 * single precision (often aka float)
105*/
106int ieee754sp_finite(ieee754sp x);
107int ieee754sp_class(ieee754sp x);
108
109ieee754sp ieee754sp_abs(ieee754sp x);
110ieee754sp ieee754sp_neg(ieee754sp x);
111ieee754sp ieee754sp_scalb(ieee754sp x, int);
112ieee754sp ieee754sp_logb(ieee754sp x);
113
114/* x with sign of y */
115ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);
116
117ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);
118ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);
119ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);
120ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);
121
122ieee754sp ieee754sp_fint(int x);
123ieee754sp ieee754sp_funs(unsigned x);
124ieee754sp ieee754sp_flong(s64 x);
125ieee754sp ieee754sp_fulong(u64 x);
126ieee754sp ieee754sp_fdp(ieee754dp x);
127
128int ieee754sp_tint(ieee754sp x);
129unsigned int ieee754sp_tuns(ieee754sp x);
130s64 ieee754sp_tlong(ieee754sp x);
131u64 ieee754sp_tulong(ieee754sp x);
132
133int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop, int sig);
134/*
135 * basic sp math
136 */
137ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);
138ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);
139ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);
140
141ieee754sp ieee754sp_ceil(ieee754sp x);
142ieee754sp ieee754sp_floor(ieee754sp x);
143ieee754sp ieee754sp_trunc(ieee754sp x);
144
145ieee754sp ieee754sp_sqrt(ieee754sp x);
146
147/*
148 * double precision (often aka double)
149*/
150int ieee754dp_finite(ieee754dp x);
151int ieee754dp_class(ieee754dp x);
152
153/* x with sign of y */
154ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);
155
156ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);
157ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);
158ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);
159ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);
160
161ieee754dp ieee754dp_abs(ieee754dp x);
162ieee754dp ieee754dp_neg(ieee754dp x);
163ieee754dp ieee754dp_scalb(ieee754dp x, int);
164
165/* return exponent as integer in floating point format
166 */
167ieee754dp ieee754dp_logb(ieee754dp x);
168
169ieee754dp ieee754dp_fint(int x);
170ieee754dp ieee754dp_funs(unsigned x);
171ieee754dp ieee754dp_flong(s64 x);
172ieee754dp ieee754dp_fulong(u64 x);
173ieee754dp ieee754dp_fsp(ieee754sp x);
174
175ieee754dp ieee754dp_ceil(ieee754dp x);
176ieee754dp ieee754dp_floor(ieee754dp x);
177ieee754dp ieee754dp_trunc(ieee754dp x);
178
179int ieee754dp_tint(ieee754dp x);
180unsigned int ieee754dp_tuns(ieee754dp x);
181s64 ieee754dp_tlong(ieee754dp x);
182u64 ieee754dp_tulong(ieee754dp x);
183
184int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop, int sig);
185/*
186 * basic sp math
187 */
188ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);
189ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);
190ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);
191
192ieee754dp ieee754dp_ceil(ieee754dp x);
193ieee754dp ieee754dp_floor(ieee754dp x);
194ieee754dp ieee754dp_trunc(ieee754dp x);
195
196ieee754dp ieee754dp_sqrt(ieee754dp x);
197
198
199
200/* 5 types of floating point number
201*/
202#define IEEE754_CLASS_NORM 0x00
203#define IEEE754_CLASS_ZERO 0x01
204#define IEEE754_CLASS_DNORM 0x02
205#define IEEE754_CLASS_INF 0x03
206#define IEEE754_CLASS_SNAN 0x04
207#define IEEE754_CLASS_QNAN 0x05
Linus Torvalds1da177e2005-04-16 15:20:36 -0700208
209/* exception numbers */
210#define IEEE754_INEXACT 0x01
211#define IEEE754_UNDERFLOW 0x02
212#define IEEE754_OVERFLOW 0x04
213#define IEEE754_ZERO_DIVIDE 0x08
214#define IEEE754_INVALID_OPERATION 0x10
215
216/* cmp operators
217*/
218#define IEEE754_CLT 0x01
219#define IEEE754_CEQ 0x02
220#define IEEE754_CGT 0x04
221#define IEEE754_CUN 0x08
222
223/* rounding mode
224*/
225#define IEEE754_RN 0 /* round to nearest */
226#define IEEE754_RZ 1 /* round toward zero */
227#define IEEE754_RD 2 /* round toward -Infinity */
228#define IEEE754_RU 3 /* round toward +Infinity */
229
230/* other naming */
231#define IEEE754_RM IEEE754_RD
232#define IEEE754_RP IEEE754_RU
233
234/* "normal" comparisons
235*/
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000236static inline int ieee754sp_eq(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700237{
238 return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
239}
240
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000241static inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700242{
243 return ieee754sp_cmp(x, y,
244 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
245}
246
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000247static inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700248{
249 return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
250}
251
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000252static inline int ieee754sp_le(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700253{
254 return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
255}
256
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000257static inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700258{
259 return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
260}
261
262
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000263static inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700264{
265 return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
266}
267
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000268static inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700269{
270 return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
271}
272
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000273static inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700274{
275 return ieee754dp_cmp(x, y,
276 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
277}
278
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000279static inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700280{
281 return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
282}
283
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000284static inline int ieee754dp_le(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700285{
286 return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
287}
288
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000289static inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700290{
291 return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
292}
293
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000294static inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700295{
296 return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
297}
298
299
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000300/*
301 * Like strtod
302 */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700303ieee754dp ieee754dp_fstr(const char *s, char **endp);
304char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);
305
306
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000307/*
308 * The control status register
309 */
310struct _ieee754_csr {
311#ifdef __BIG_ENDIAN
312 unsigned pad0:7;
Linus Torvalds1da177e2005-04-16 15:20:36 -0700313 unsigned nod:1; /* set 1 for no denormalised numbers */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000314 unsigned c:1; /* condition */
315 unsigned pad1:5;
316 unsigned cx:6; /* exceptions this operation */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700317 unsigned mx:5; /* exception enable mask */
318 unsigned sx:5; /* exceptions total */
319 unsigned rm:2; /* current rounding mode */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000320#endif
321#ifdef __LITTLE_ENDIAN
322 unsigned rm:2; /* current rounding mode */
323 unsigned sx:5; /* exceptions total */
324 unsigned mx:5; /* exception enable mask */
325 unsigned cx:6; /* exceptions this operation */
326 unsigned pad1:5;
327 unsigned c:1; /* condition */
328 unsigned nod:1; /* set 1 for no denormalised numbers */
329 unsigned pad0:7;
330#endif
Linus Torvalds1da177e2005-04-16 15:20:36 -0700331};
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000332#define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.soft.fcr31))
Linus Torvalds1da177e2005-04-16 15:20:36 -0700333
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000334static inline unsigned ieee754_getrm(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700335{
336 return (ieee754_csr.rm);
337}
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000338static inline unsigned ieee754_setrm(unsigned rm)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700339{
340 return (ieee754_csr.rm = rm);
341}
342
343/*
344 * get current exceptions
345 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000346static inline unsigned ieee754_getcx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700347{
348 return (ieee754_csr.cx);
349}
350
351/* test for current exception condition
352 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000353static inline int ieee754_cxtest(unsigned n)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700354{
355 return (ieee754_csr.cx & n);
356}
357
358/*
359 * get sticky exceptions
360 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000361static inline unsigned ieee754_getsx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700362{
363 return (ieee754_csr.sx);
364}
365
366/* clear sticky conditions
367*/
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000368static inline unsigned ieee754_clrsx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700369{
370 return (ieee754_csr.sx = 0);
371}
372
373/* test for sticky exception condition
374 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000375static inline int ieee754_sxtest(unsigned n)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700376{
377 return (ieee754_csr.sx & n);
378}
379
380/* debugging */
381ieee754sp ieee754sp_dump(char *s, ieee754sp x);
382ieee754dp ieee754dp_dump(char *s, ieee754dp x);
383
384#define IEEE754_SPCVAL_PZERO 0
385#define IEEE754_SPCVAL_NZERO 1
386#define IEEE754_SPCVAL_PONE 2
387#define IEEE754_SPCVAL_NONE 3
388#define IEEE754_SPCVAL_PTEN 4
389#define IEEE754_SPCVAL_NTEN 5
390#define IEEE754_SPCVAL_PINFINITY 6
391#define IEEE754_SPCVAL_NINFINITY 7
392#define IEEE754_SPCVAL_INDEF 8
393#define IEEE754_SPCVAL_PMAX 9 /* +max norm */
394#define IEEE754_SPCVAL_NMAX 10 /* -max norm */
395#define IEEE754_SPCVAL_PMIN 11 /* +min norm */
396#define IEEE754_SPCVAL_NMIN 12 /* +min norm */
397#define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
398#define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
399#define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
400#define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
401
402extern const struct ieee754dp_konst __ieee754dp_spcvals[];
403extern const struct ieee754sp_konst __ieee754sp_spcvals[];
404#define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)
405#define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)
406
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000407/*
408 * Return infinity with given sign
409 */
410#define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
411#define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
412#define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
413#define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
414#define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
415#define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
416#define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
417#define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
418#define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
419#define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
Linus Torvalds1da177e2005-04-16 15:20:36 -0700420
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000421#define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
422#define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
423#define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
424#define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
425#define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
426#define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
427#define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
428#define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
429#define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
430#define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
Linus Torvalds1da177e2005-04-16 15:20:36 -0700431
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000432/*
433 * Indefinite integer value
434 */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700435#define ieee754si_indef() INT_MAX
436#ifdef LONG_LONG_MAX
437#define ieee754di_indef() LONG_LONG_MAX
438#else
439#define ieee754di_indef() ((s64)(~0ULL>>1))
440#endif
441
442/* IEEE exception context, passed to handler */
443struct ieee754xctx {
444 const char *op; /* operation name */
445 int rt; /* result type */
446 union {
447 ieee754sp sp; /* single precision */
448 ieee754dp dp; /* double precision */
449#ifdef IEEE854_XP
450 ieee754xp xp; /* extended precision */
451#endif
452 int si; /* standard signed integer (32bits) */
453 s64 di; /* extended signed integer (64bits) */
454 } rv; /* default result format implied by op */
455 va_list ap;
456};
457
458/* result types for xctx.rt */
459#define IEEE754_RT_SP 0
460#define IEEE754_RT_DP 1
461#define IEEE754_RT_XP 2
462#define IEEE754_RT_SI 3
463#define IEEE754_RT_DI 4
464
465extern void ieee754_xcpt(struct ieee754xctx *xcp);
466
467/* compat */
468#define ieee754dp_fix(x) ieee754dp_tint(x)
469#define ieee754sp_fix(x) ieee754sp_tint(x)
Ralf Baechlea663bf92005-10-23 13:44:31 +0100470
471#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */