blob: 967831e3206f553dfe43022f51e998521ed9ede3 [file] [log] [blame]
Linus Torvalds1da177e2005-04-16 15:20:36 -07001/*
2 * MIPS floating point support
3 * Copyright (C) 1994-2000 Algorithmics Ltd.
Linus Torvalds1da177e2005-04-16 15:20:36 -07004 *
Linus Torvalds1da177e2005-04-16 15:20:36 -07005 * This program is free software; you can distribute it and/or modify it
6 * under the terms of the GNU General Public License (Version 2) as
7 * published by the Free Software Foundation.
8 *
9 * This program is distributed in the hope it will be useful, but WITHOUT
10 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
11 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
12 * for more details.
13 *
14 * You should have received a copy of the GNU General Public License along
15 * with this program; if not, write to the Free Software Foundation, Inc.,
16 * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
17 *
Linus Torvalds1da177e2005-04-16 15:20:36 -070018 * Nov 7, 2000
19 * Modification to allow integration with Linux kernel
20 *
21 * Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com
22 * Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000023 */
Ralf Baechlea663bf92005-10-23 13:44:31 +010024#ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H
25#define __ARCH_MIPS_MATH_EMU_IEEE754_H
Linus Torvalds1da177e2005-04-16 15:20:36 -070026
Ralf Baechlecae55062014-04-16 00:47:59 +020027#include <linux/compiler.h>
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>
Ralf Baechlef80cc082014-04-16 00:40:02 +020031#include <asm/bitfield.h>
Linus Torvalds1da177e2005-04-16 15:20:36 -070032
33/*
34 * Not very pretty, but the Linux kernel's normal va_list definition
35 * does not allow it to be used as a structure element, as it is here.
36 */
37#ifndef _STDARG_H
38#include <stdarg.h>
39#endif
40
Linus Torvalds1da177e2005-04-16 15:20:36 -070041struct ieee754dp_konst {
Ralf Baechlef80cc082014-04-16 00:40:02 +020042 __BITFIELD_FIELD(unsigned sign:1,
43 __BITFIELD_FIELD(unsigned bexp:11,
44 __BITFIELD_FIELD(unsigned manthi:20,
45 __BITFIELD_FIELD(unsigned mantlo:32,
46 ;))))
Linus Torvalds1da177e2005-04-16 15:20:36 -070047};
48
49typedef union _ieee754dp {
50 struct ieee754dp_konst oparts;
51 struct {
Ralf Baechlef80cc082014-04-16 00:40:02 +020052 __BITFIELD_FIELD(unsigned int sign:1,
53 __BITFIELD_FIELD(unsigned int bexp:11,
54 __BITFIELD_FIELD(u64 mant:52,
55 ;)))
Linus Torvalds1da177e2005-04-16 15:20:36 -070056 } parts;
57 double d;
58 u64 bits;
59} ieee754dp;
60
61struct ieee754sp_konst {
Ralf Baechlef80cc082014-04-16 00:40:02 +020062 __BITFIELD_FIELD(unsigned sign:1,
63 __BITFIELD_FIELD(unsigned bexp:8,
64 __BITFIELD_FIELD(unsigned mant:23,
65 ;)))
Linus Torvalds1da177e2005-04-16 15:20:36 -070066};
67
68typedef union _ieee754sp {
69 struct ieee754sp_konst parts;
70 float f;
71 u32 bits;
72} ieee754sp;
Linus Torvalds1da177e2005-04-16 15:20:36 -070073
74/*
75 * single precision (often aka float)
76*/
77int ieee754sp_finite(ieee754sp x);
78int ieee754sp_class(ieee754sp x);
79
80ieee754sp ieee754sp_abs(ieee754sp x);
81ieee754sp ieee754sp_neg(ieee754sp x);
82ieee754sp ieee754sp_scalb(ieee754sp x, int);
83ieee754sp ieee754sp_logb(ieee754sp x);
84
85/* x with sign of y */
86ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);
87
88ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);
89ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);
90ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);
91ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);
92
93ieee754sp ieee754sp_fint(int x);
94ieee754sp ieee754sp_funs(unsigned x);
95ieee754sp ieee754sp_flong(s64 x);
96ieee754sp ieee754sp_fulong(u64 x);
97ieee754sp ieee754sp_fdp(ieee754dp x);
98
99int ieee754sp_tint(ieee754sp x);
100unsigned int ieee754sp_tuns(ieee754sp x);
101s64 ieee754sp_tlong(ieee754sp x);
102u64 ieee754sp_tulong(ieee754sp x);
103
104int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop, int sig);
105/*
106 * basic sp math
107 */
108ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);
109ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);
110ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);
111
112ieee754sp ieee754sp_ceil(ieee754sp x);
113ieee754sp ieee754sp_floor(ieee754sp x);
114ieee754sp ieee754sp_trunc(ieee754sp x);
115
116ieee754sp ieee754sp_sqrt(ieee754sp x);
117
118/*
119 * double precision (often aka double)
120*/
121int ieee754dp_finite(ieee754dp x);
122int ieee754dp_class(ieee754dp x);
123
124/* x with sign of y */
125ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);
126
127ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);
128ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);
129ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);
130ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);
131
132ieee754dp ieee754dp_abs(ieee754dp x);
133ieee754dp ieee754dp_neg(ieee754dp x);
134ieee754dp ieee754dp_scalb(ieee754dp x, int);
135
136/* return exponent as integer in floating point format
137 */
138ieee754dp ieee754dp_logb(ieee754dp x);
139
140ieee754dp ieee754dp_fint(int x);
141ieee754dp ieee754dp_funs(unsigned x);
142ieee754dp ieee754dp_flong(s64 x);
143ieee754dp ieee754dp_fulong(u64 x);
144ieee754dp ieee754dp_fsp(ieee754sp x);
145
146ieee754dp ieee754dp_ceil(ieee754dp x);
147ieee754dp ieee754dp_floor(ieee754dp x);
148ieee754dp ieee754dp_trunc(ieee754dp x);
149
150int ieee754dp_tint(ieee754dp x);
151unsigned int ieee754dp_tuns(ieee754dp x);
152s64 ieee754dp_tlong(ieee754dp x);
153u64 ieee754dp_tulong(ieee754dp x);
154
155int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop, int sig);
156/*
157 * basic sp math
158 */
159ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);
160ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);
161ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);
162
163ieee754dp ieee754dp_ceil(ieee754dp x);
164ieee754dp ieee754dp_floor(ieee754dp x);
165ieee754dp ieee754dp_trunc(ieee754dp x);
166
167ieee754dp ieee754dp_sqrt(ieee754dp x);
168
169
170
171/* 5 types of floating point number
172*/
173#define IEEE754_CLASS_NORM 0x00
174#define IEEE754_CLASS_ZERO 0x01
175#define IEEE754_CLASS_DNORM 0x02
176#define IEEE754_CLASS_INF 0x03
177#define IEEE754_CLASS_SNAN 0x04
178#define IEEE754_CLASS_QNAN 0x05
Linus Torvalds1da177e2005-04-16 15:20:36 -0700179
180/* exception numbers */
181#define IEEE754_INEXACT 0x01
182#define IEEE754_UNDERFLOW 0x02
183#define IEEE754_OVERFLOW 0x04
184#define IEEE754_ZERO_DIVIDE 0x08
185#define IEEE754_INVALID_OPERATION 0x10
186
187/* cmp operators
188*/
189#define IEEE754_CLT 0x01
190#define IEEE754_CEQ 0x02
191#define IEEE754_CGT 0x04
192#define IEEE754_CUN 0x08
193
194/* rounding mode
195*/
196#define IEEE754_RN 0 /* round to nearest */
197#define IEEE754_RZ 1 /* round toward zero */
198#define IEEE754_RD 2 /* round toward -Infinity */
199#define IEEE754_RU 3 /* round toward +Infinity */
200
201/* other naming */
202#define IEEE754_RM IEEE754_RD
203#define IEEE754_RP IEEE754_RU
204
205/* "normal" comparisons
206*/
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000207static inline int ieee754sp_eq(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700208{
209 return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
210}
211
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000212static inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700213{
214 return ieee754sp_cmp(x, y,
215 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
216}
217
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000218static inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700219{
220 return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
221}
222
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000223static inline int ieee754sp_le(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700224{
225 return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
226}
227
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000228static inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700229{
230 return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
231}
232
233
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000234static inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700235{
236 return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
237}
238
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000239static inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700240{
241 return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
242}
243
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000244static inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700245{
246 return ieee754dp_cmp(x, y,
247 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
248}
249
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000250static inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700251{
252 return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
253}
254
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000255static inline int ieee754dp_le(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700256{
257 return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
258}
259
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000260static inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700261{
262 return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
263}
264
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000265static inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700266{
267 return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
268}
269
270
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000271/*
272 * Like strtod
273 */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700274ieee754dp ieee754dp_fstr(const char *s, char **endp);
275char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);
276
277
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000278/*
279 * The control status register
280 */
281struct _ieee754_csr {
Ralf Baechlef80cc082014-04-16 00:40:02 +0200282 __BITFIELD_FIELD(unsigned pad0:7,
283 __BITFIELD_FIELD(unsigned nod:1, /* set 1 for no denormalised numbers */
284 __BITFIELD_FIELD(unsigned c:1, /* condition */
285 __BITFIELD_FIELD(unsigned pad1:5,
286 __BITFIELD_FIELD(unsigned cx:6, /* exceptions this operation */
287 __BITFIELD_FIELD(unsigned mx:5, /* exception enable mask */
288 __BITFIELD_FIELD(unsigned sx:5, /* exceptions total */
289 __BITFIELD_FIELD(unsigned rm:2, /* current rounding mode */
290 ;))))))))
Linus Torvalds1da177e2005-04-16 15:20:36 -0700291};
Atsushi Nemotoeae89072006-05-16 01:26:03 +0900292#define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.fcr31))
Linus Torvalds1da177e2005-04-16 15:20:36 -0700293
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000294static inline unsigned ieee754_getrm(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700295{
296 return (ieee754_csr.rm);
297}
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000298static inline unsigned ieee754_setrm(unsigned rm)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700299{
300 return (ieee754_csr.rm = rm);
301}
302
303/*
304 * get current exceptions
305 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000306static inline unsigned ieee754_getcx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700307{
308 return (ieee754_csr.cx);
309}
310
311/* test for current exception condition
312 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000313static inline int ieee754_cxtest(unsigned n)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700314{
315 return (ieee754_csr.cx & n);
316}
317
318/*
319 * get sticky exceptions
320 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000321static inline unsigned ieee754_getsx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700322{
323 return (ieee754_csr.sx);
324}
325
326/* clear sticky conditions
327*/
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000328static inline unsigned ieee754_clrsx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700329{
330 return (ieee754_csr.sx = 0);
331}
332
333/* test for sticky exception condition
334 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000335static inline int ieee754_sxtest(unsigned n)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700336{
337 return (ieee754_csr.sx & n);
338}
339
340/* debugging */
341ieee754sp ieee754sp_dump(char *s, ieee754sp x);
342ieee754dp ieee754dp_dump(char *s, ieee754dp x);
343
344#define IEEE754_SPCVAL_PZERO 0
345#define IEEE754_SPCVAL_NZERO 1
346#define IEEE754_SPCVAL_PONE 2
347#define IEEE754_SPCVAL_NONE 3
348#define IEEE754_SPCVAL_PTEN 4
349#define IEEE754_SPCVAL_NTEN 5
350#define IEEE754_SPCVAL_PINFINITY 6
351#define IEEE754_SPCVAL_NINFINITY 7
352#define IEEE754_SPCVAL_INDEF 8
353#define IEEE754_SPCVAL_PMAX 9 /* +max norm */
354#define IEEE754_SPCVAL_NMAX 10 /* -max norm */
355#define IEEE754_SPCVAL_PMIN 11 /* +min norm */
356#define IEEE754_SPCVAL_NMIN 12 /* +min norm */
357#define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
358#define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
359#define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
360#define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
361
362extern const struct ieee754dp_konst __ieee754dp_spcvals[];
363extern const struct ieee754sp_konst __ieee754sp_spcvals[];
364#define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)
365#define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)
366
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000367/*
368 * Return infinity with given sign
369 */
370#define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
371#define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
372#define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
373#define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
374#define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
375#define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
376#define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
377#define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
378#define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
379#define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
Linus Torvalds1da177e2005-04-16 15:20:36 -0700380
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000381#define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
382#define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
383#define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
384#define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
385#define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
386#define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
387#define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
388#define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
389#define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
390#define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
Linus Torvalds1da177e2005-04-16 15:20:36 -0700391
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000392/*
393 * Indefinite integer value
394 */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700395#define ieee754si_indef() INT_MAX
396#ifdef LONG_LONG_MAX
397#define ieee754di_indef() LONG_LONG_MAX
398#else
399#define ieee754di_indef() ((s64)(~0ULL>>1))
400#endif
401
402/* IEEE exception context, passed to handler */
403struct ieee754xctx {
404 const char *op; /* operation name */
405 int rt; /* result type */
406 union {
407 ieee754sp sp; /* single precision */
408 ieee754dp dp; /* double precision */
409#ifdef IEEE854_XP
410 ieee754xp xp; /* extended precision */
411#endif
412 int si; /* standard signed integer (32bits) */
413 s64 di; /* extended signed integer (64bits) */
414 } rv; /* default result format implied by op */
415 va_list ap;
416};
417
418/* result types for xctx.rt */
419#define IEEE754_RT_SP 0
420#define IEEE754_RT_DP 1
421#define IEEE754_RT_XP 2
422#define IEEE754_RT_SI 3
423#define IEEE754_RT_DI 4
424
Ralf Baechlecae55062014-04-16 00:47:59 +0200425extern void __cold ieee754_xcpt(struct ieee754xctx *xcp);
Linus Torvalds1da177e2005-04-16 15:20:36 -0700426
427/* compat */
428#define ieee754dp_fix(x) ieee754dp_tint(x)
429#define ieee754sp_fix(x) ieee754sp_tint(x)
Ralf Baechlea663bf92005-10-23 13:44:31 +0100430
431#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */