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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 Baechlecd21dfc2005-04-28 13:39:10 +000027#include <asm/byteorder.h>
Linus Torvalds1da177e2005-04-16 15:20:36 -070028#include <linux/types.h>
Ralf Baechlecd21dfc2005-04-28 13:39:10 +000029#include <linux/sched.h>
Ralf Baechlef80cc082014-04-16 00:40:02 +020030#include <asm/bitfield.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
Linus Torvalds1da177e2005-04-16 15:20:36 -070040struct ieee754dp_konst {
Ralf Baechlef80cc082014-04-16 00:40:02 +020041 __BITFIELD_FIELD(unsigned sign:1,
42 __BITFIELD_FIELD(unsigned bexp:11,
43 __BITFIELD_FIELD(unsigned manthi:20,
44 __BITFIELD_FIELD(unsigned mantlo:32,
45 ;))))
Linus Torvalds1da177e2005-04-16 15:20:36 -070046};
47
48typedef union _ieee754dp {
49 struct ieee754dp_konst oparts;
50 struct {
Ralf Baechlef80cc082014-04-16 00:40:02 +020051 __BITFIELD_FIELD(unsigned int sign:1,
52 __BITFIELD_FIELD(unsigned int bexp:11,
53 __BITFIELD_FIELD(u64 mant:52,
54 ;)))
Linus Torvalds1da177e2005-04-16 15:20:36 -070055 } parts;
56 double d;
57 u64 bits;
58} ieee754dp;
59
60struct ieee754sp_konst {
Ralf Baechlef80cc082014-04-16 00:40:02 +020061 __BITFIELD_FIELD(unsigned sign:1,
62 __BITFIELD_FIELD(unsigned bexp:8,
63 __BITFIELD_FIELD(unsigned mant:23,
64 ;)))
Linus Torvalds1da177e2005-04-16 15:20:36 -070065};
66
67typedef union _ieee754sp {
68 struct ieee754sp_konst parts;
69 float f;
70 u32 bits;
71} ieee754sp;
Linus Torvalds1da177e2005-04-16 15:20:36 -070072
73/*
74 * single precision (often aka float)
75*/
76int ieee754sp_finite(ieee754sp x);
77int ieee754sp_class(ieee754sp x);
78
79ieee754sp ieee754sp_abs(ieee754sp x);
80ieee754sp ieee754sp_neg(ieee754sp x);
81ieee754sp ieee754sp_scalb(ieee754sp x, int);
82ieee754sp ieee754sp_logb(ieee754sp x);
83
84/* x with sign of y */
85ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y);
86
87ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y);
88ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y);
89ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y);
90ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y);
91
92ieee754sp ieee754sp_fint(int x);
93ieee754sp ieee754sp_funs(unsigned x);
94ieee754sp ieee754sp_flong(s64 x);
95ieee754sp ieee754sp_fulong(u64 x);
96ieee754sp ieee754sp_fdp(ieee754dp x);
97
98int ieee754sp_tint(ieee754sp x);
99unsigned int ieee754sp_tuns(ieee754sp x);
100s64 ieee754sp_tlong(ieee754sp x);
101u64 ieee754sp_tulong(ieee754sp x);
102
103int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop, int sig);
104/*
105 * basic sp math
106 */
107ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip);
108ieee754sp ieee754sp_frexp(ieee754sp x, int *exp);
109ieee754sp ieee754sp_ldexp(ieee754sp x, int exp);
110
111ieee754sp ieee754sp_ceil(ieee754sp x);
112ieee754sp ieee754sp_floor(ieee754sp x);
113ieee754sp ieee754sp_trunc(ieee754sp x);
114
115ieee754sp ieee754sp_sqrt(ieee754sp x);
116
117/*
118 * double precision (often aka double)
119*/
120int ieee754dp_finite(ieee754dp x);
121int ieee754dp_class(ieee754dp x);
122
123/* x with sign of y */
124ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y);
125
126ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y);
127ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y);
128ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y);
129ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y);
130
131ieee754dp ieee754dp_abs(ieee754dp x);
132ieee754dp ieee754dp_neg(ieee754dp x);
133ieee754dp ieee754dp_scalb(ieee754dp x, int);
134
135/* return exponent as integer in floating point format
136 */
137ieee754dp ieee754dp_logb(ieee754dp x);
138
139ieee754dp ieee754dp_fint(int x);
140ieee754dp ieee754dp_funs(unsigned x);
141ieee754dp ieee754dp_flong(s64 x);
142ieee754dp ieee754dp_fulong(u64 x);
143ieee754dp ieee754dp_fsp(ieee754sp x);
144
145ieee754dp ieee754dp_ceil(ieee754dp x);
146ieee754dp ieee754dp_floor(ieee754dp x);
147ieee754dp ieee754dp_trunc(ieee754dp x);
148
149int ieee754dp_tint(ieee754dp x);
150unsigned int ieee754dp_tuns(ieee754dp x);
151s64 ieee754dp_tlong(ieee754dp x);
152u64 ieee754dp_tulong(ieee754dp x);
153
154int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop, int sig);
155/*
156 * basic sp math
157 */
158ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip);
159ieee754dp ieee754dp_frexp(ieee754dp x, int *exp);
160ieee754dp ieee754dp_ldexp(ieee754dp x, int exp);
161
162ieee754dp ieee754dp_ceil(ieee754dp x);
163ieee754dp ieee754dp_floor(ieee754dp x);
164ieee754dp ieee754dp_trunc(ieee754dp x);
165
166ieee754dp ieee754dp_sqrt(ieee754dp x);
167
168
169
170/* 5 types of floating point number
171*/
172#define IEEE754_CLASS_NORM 0x00
173#define IEEE754_CLASS_ZERO 0x01
174#define IEEE754_CLASS_DNORM 0x02
175#define IEEE754_CLASS_INF 0x03
176#define IEEE754_CLASS_SNAN 0x04
177#define IEEE754_CLASS_QNAN 0x05
Linus Torvalds1da177e2005-04-16 15:20:36 -0700178
179/* exception numbers */
180#define IEEE754_INEXACT 0x01
181#define IEEE754_UNDERFLOW 0x02
182#define IEEE754_OVERFLOW 0x04
183#define IEEE754_ZERO_DIVIDE 0x08
184#define IEEE754_INVALID_OPERATION 0x10
185
186/* cmp operators
187*/
188#define IEEE754_CLT 0x01
189#define IEEE754_CEQ 0x02
190#define IEEE754_CGT 0x04
191#define IEEE754_CUN 0x08
192
193/* rounding mode
194*/
195#define IEEE754_RN 0 /* round to nearest */
196#define IEEE754_RZ 1 /* round toward zero */
197#define IEEE754_RD 2 /* round toward -Infinity */
198#define IEEE754_RU 3 /* round toward +Infinity */
199
200/* other naming */
201#define IEEE754_RM IEEE754_RD
202#define IEEE754_RP IEEE754_RU
203
204/* "normal" comparisons
205*/
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000206static inline int ieee754sp_eq(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700207{
208 return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
209}
210
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000211static inline int ieee754sp_ne(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700212{
213 return ieee754sp_cmp(x, y,
214 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
215}
216
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000217static inline int ieee754sp_lt(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700218{
219 return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
220}
221
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000222static inline int ieee754sp_le(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700223{
224 return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
225}
226
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000227static inline int ieee754sp_gt(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700228{
229 return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
230}
231
232
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000233static inline int ieee754sp_ge(ieee754sp x, ieee754sp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700234{
235 return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
236}
237
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000238static inline int ieee754dp_eq(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700239{
240 return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
241}
242
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000243static inline int ieee754dp_ne(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700244{
245 return ieee754dp_cmp(x, y,
246 IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
247}
248
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000249static inline int ieee754dp_lt(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700250{
251 return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
252}
253
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000254static inline int ieee754dp_le(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700255{
256 return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
257}
258
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000259static inline int ieee754dp_gt(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700260{
261 return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
262}
263
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000264static inline int ieee754dp_ge(ieee754dp x, ieee754dp y)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700265{
266 return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
267}
268
269
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000270/*
271 * Like strtod
272 */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700273ieee754dp ieee754dp_fstr(const char *s, char **endp);
274char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af);
275
276
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000277/*
278 * The control status register
279 */
280struct _ieee754_csr {
Ralf Baechlef80cc082014-04-16 00:40:02 +0200281 __BITFIELD_FIELD(unsigned pad0:7,
282 __BITFIELD_FIELD(unsigned nod:1, /* set 1 for no denormalised numbers */
283 __BITFIELD_FIELD(unsigned c:1, /* condition */
284 __BITFIELD_FIELD(unsigned pad1:5,
285 __BITFIELD_FIELD(unsigned cx:6, /* exceptions this operation */
286 __BITFIELD_FIELD(unsigned mx:5, /* exception enable mask */
287 __BITFIELD_FIELD(unsigned sx:5, /* exceptions total */
288 __BITFIELD_FIELD(unsigned rm:2, /* current rounding mode */
289 ;))))))))
Linus Torvalds1da177e2005-04-16 15:20:36 -0700290};
Atsushi Nemotoeae89072006-05-16 01:26:03 +0900291#define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.fcr31))
Linus Torvalds1da177e2005-04-16 15:20:36 -0700292
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000293static inline unsigned ieee754_getrm(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700294{
295 return (ieee754_csr.rm);
296}
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000297static inline unsigned ieee754_setrm(unsigned rm)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700298{
299 return (ieee754_csr.rm = rm);
300}
301
302/*
303 * get current exceptions
304 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000305static inline unsigned ieee754_getcx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700306{
307 return (ieee754_csr.cx);
308}
309
310/* test for current exception condition
311 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000312static inline int ieee754_cxtest(unsigned n)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700313{
314 return (ieee754_csr.cx & n);
315}
316
317/*
318 * get sticky exceptions
319 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000320static inline unsigned ieee754_getsx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700321{
322 return (ieee754_csr.sx);
323}
324
325/* clear sticky conditions
326*/
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000327static inline unsigned ieee754_clrsx(void)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700328{
329 return (ieee754_csr.sx = 0);
330}
331
332/* test for sticky exception condition
333 */
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000334static inline int ieee754_sxtest(unsigned n)
Linus Torvalds1da177e2005-04-16 15:20:36 -0700335{
336 return (ieee754_csr.sx & n);
337}
338
339/* debugging */
340ieee754sp ieee754sp_dump(char *s, ieee754sp x);
341ieee754dp ieee754dp_dump(char *s, ieee754dp x);
342
343#define IEEE754_SPCVAL_PZERO 0
344#define IEEE754_SPCVAL_NZERO 1
345#define IEEE754_SPCVAL_PONE 2
346#define IEEE754_SPCVAL_NONE 3
347#define IEEE754_SPCVAL_PTEN 4
348#define IEEE754_SPCVAL_NTEN 5
349#define IEEE754_SPCVAL_PINFINITY 6
350#define IEEE754_SPCVAL_NINFINITY 7
351#define IEEE754_SPCVAL_INDEF 8
352#define IEEE754_SPCVAL_PMAX 9 /* +max norm */
353#define IEEE754_SPCVAL_NMAX 10 /* -max norm */
354#define IEEE754_SPCVAL_PMIN 11 /* +min norm */
355#define IEEE754_SPCVAL_NMIN 12 /* +min norm */
356#define IEEE754_SPCVAL_PMIND 13 /* +min denorm */
357#define IEEE754_SPCVAL_NMIND 14 /* +min denorm */
358#define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */
359#define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */
360
361extern const struct ieee754dp_konst __ieee754dp_spcvals[];
362extern const struct ieee754sp_konst __ieee754sp_spcvals[];
363#define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals)
364#define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals)
365
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000366/*
367 * Return infinity with given sign
368 */
369#define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
370#define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
371#define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
372#define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
373#define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
374#define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
375#define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
376#define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
377#define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
378#define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
Linus Torvalds1da177e2005-04-16 15:20:36 -0700379
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000380#define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
381#define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
382#define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
383#define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
384#define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
385#define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
386#define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
387#define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
388#define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
389#define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
Linus Torvalds1da177e2005-04-16 15:20:36 -0700390
Ralf Baechlecd21dfc2005-04-28 13:39:10 +0000391/*
392 * Indefinite integer value
393 */
Linus Torvalds1da177e2005-04-16 15:20:36 -0700394#define ieee754si_indef() INT_MAX
395#ifdef LONG_LONG_MAX
396#define ieee754di_indef() LONG_LONG_MAX
397#else
398#define ieee754di_indef() ((s64)(~0ULL>>1))
399#endif
400
401/* IEEE exception context, passed to handler */
402struct ieee754xctx {
403 const char *op; /* operation name */
404 int rt; /* result type */
405 union {
406 ieee754sp sp; /* single precision */
407 ieee754dp dp; /* double precision */
408#ifdef IEEE854_XP
409 ieee754xp xp; /* extended precision */
410#endif
411 int si; /* standard signed integer (32bits) */
412 s64 di; /* extended signed integer (64bits) */
413 } rv; /* default result format implied by op */
414 va_list ap;
415};
416
417/* result types for xctx.rt */
418#define IEEE754_RT_SP 0
419#define IEEE754_RT_DP 1
420#define IEEE754_RT_XP 2
421#define IEEE754_RT_SI 3
422#define IEEE754_RT_DI 4
423
424extern void ieee754_xcpt(struct ieee754xctx *xcp);
425
426/* compat */
427#define ieee754dp_fix(x) ieee754dp_tint(x)
428#define ieee754sp_fix(x) ieee754sp_tint(x)
Ralf Baechlea663bf92005-10-23 13:44:31 +0100429
430#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */