summaryrefslogtreecommitdiff
path: root/arch/mips/math-emu/ieee754.h
blob: 05705fa785c37b279098a21af0fc7546e315416f (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
/*
 * MIPS floating point support
 * Copyright (C) 1994-2000 Algorithmics Ltd.
 *
 *  This program is free software; you can distribute it and/or modify it
 *  under the terms of the GNU General Public License (Version 2) as
 *  published by the Free Software Foundation.
 *
 *  This program is distributed in the hope it will be useful, but WITHOUT
 *  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
 *  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
 *  for more details.
 *
 *  You should have received a copy of the GNU General Public License along
 *  with this program; if not, write to the Free Software Foundation, Inc.,
 *  59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
 *
 *  Nov 7, 2000
 *  Modification to allow integration with Linux kernel
 *
 *  Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com
 *  Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
 */
#ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H
#define __ARCH_MIPS_MATH_EMU_IEEE754_H

#include <linux/compiler.h>
#include <asm/byteorder.h>
#include <linux/types.h>
#include <linux/sched.h>
#include <asm/bitfield.h>

/*
 * Not very pretty, but the Linux kernel's normal va_list definition
 * does not allow it to be used as a structure element, as it is here.
 */
#ifndef _STDARG_H
#include <stdarg.h>
#endif

struct ieee754dp_const {
	__BITFIELD_FIELD(unsigned sign:1,
	__BITFIELD_FIELD(unsigned bexp:11,
	__BITFIELD_FIELD(unsigned manthi:20,
	__BITFIELD_FIELD(unsigned mantlo:32,
	;))))
};

union ieee754dp {
	struct ieee754dp_const oparts;
	struct {
		__BITFIELD_FIELD(unsigned int sign:1,
		__BITFIELD_FIELD(unsigned int bexp:11,
		__BITFIELD_FIELD(u64 mant:52,
		;)))
	} parts;
	double d;
	u64 bits;
};

struct ieee754sp_const {
	__BITFIELD_FIELD(unsigned sign:1,
	__BITFIELD_FIELD(unsigned bexp:8,
	__BITFIELD_FIELD(unsigned mant:23,
	;)))
};

union ieee754sp {
	struct ieee754sp_const parts;
	float f;
	u32 bits;
};

/*
 * single precision (often aka float)
*/
int ieee754sp_finite(union ieee754sp x);
int ieee754sp_class(union ieee754sp x);

union ieee754sp ieee754sp_abs(union ieee754sp x);
union ieee754sp ieee754sp_neg(union ieee754sp x);
union ieee754sp ieee754sp_scalb(union ieee754sp x, int);
union ieee754sp ieee754sp_logb(union ieee754sp x);

/* x with sign of y */
union ieee754sp ieee754sp_copysign(union ieee754sp x, union ieee754sp y);

union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_sub(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y);
union ieee754sp ieee754sp_div(union ieee754sp x, union ieee754sp y);

union ieee754sp ieee754sp_fint(int x);
union ieee754sp ieee754sp_funs(unsigned x);
union ieee754sp ieee754sp_flong(s64 x);
union ieee754sp ieee754sp_fulong(u64 x);
union ieee754sp ieee754sp_fdp(union ieee754dp x);

int ieee754sp_tint(union ieee754sp x);
unsigned int ieee754sp_tuns(union ieee754sp x);
s64 ieee754sp_tlong(union ieee754sp x);
u64 ieee754sp_tulong(union ieee754sp x);

int ieee754sp_cmp(union ieee754sp x, union ieee754sp y, int cop, int sig);
/*
 * basic sp math
 */
union ieee754sp ieee754sp_modf(union ieee754sp x, union ieee754sp * ip);
union ieee754sp ieee754sp_frexp(union ieee754sp x, int *exp);
union ieee754sp ieee754sp_ldexp(union ieee754sp x, int exp);

union ieee754sp ieee754sp_ceil(union ieee754sp x);
union ieee754sp ieee754sp_floor(union ieee754sp x);
union ieee754sp ieee754sp_trunc(union ieee754sp x);

union ieee754sp ieee754sp_sqrt(union ieee754sp x);

/*
 * double precision (often aka double)
*/
int ieee754dp_finite(union ieee754dp x);
int ieee754dp_class(union ieee754dp x);

/* x with sign of y */
union ieee754dp ieee754dp_copysign(union ieee754dp x, union ieee754dp y);

union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_sub(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y);
union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y);

union ieee754dp ieee754dp_abs(union ieee754dp x);
union ieee754dp ieee754dp_neg(union ieee754dp x);
union ieee754dp ieee754dp_scalb(union ieee754dp x, int);

/* return exponent as integer in floating point format
 */
union ieee754dp ieee754dp_logb(union ieee754dp x);

union ieee754dp ieee754dp_fint(int x);
union ieee754dp ieee754dp_funs(unsigned x);
union ieee754dp ieee754dp_flong(s64 x);
union ieee754dp ieee754dp_fulong(u64 x);
union ieee754dp ieee754dp_fsp(union ieee754sp x);

union ieee754dp ieee754dp_ceil(union ieee754dp x);
union ieee754dp ieee754dp_floor(union ieee754dp x);
union ieee754dp ieee754dp_trunc(union ieee754dp x);

int ieee754dp_tint(union ieee754dp x);
unsigned int ieee754dp_tuns(union ieee754dp x);
s64 ieee754dp_tlong(union ieee754dp x);
u64 ieee754dp_tulong(union ieee754dp x);

int ieee754dp_cmp(union ieee754dp x, union ieee754dp y, int cop, int sig);
/*
 * basic sp math
 */
union ieee754dp ieee754dp_modf(union ieee754dp x, union ieee754dp * ip);
union ieee754dp ieee754dp_frexp(union ieee754dp x, int *exp);
union ieee754dp ieee754dp_ldexp(union ieee754dp x, int exp);

union ieee754dp ieee754dp_ceil(union ieee754dp x);
union ieee754dp ieee754dp_floor(union ieee754dp x);
union ieee754dp ieee754dp_trunc(union ieee754dp x);

union ieee754dp ieee754dp_sqrt(union ieee754dp x);



/* 5 types of floating point number
*/
#define IEEE754_CLASS_NORM	0x00
#define IEEE754_CLASS_ZERO	0x01
#define IEEE754_CLASS_DNORM	0x02
#define IEEE754_CLASS_INF	0x03
#define IEEE754_CLASS_SNAN	0x04
#define IEEE754_CLASS_QNAN	0x05

/* exception numbers */
#define IEEE754_INEXACT			0x01
#define IEEE754_UNDERFLOW		0x02
#define IEEE754_OVERFLOW		0x04
#define IEEE754_ZERO_DIVIDE		0x08
#define IEEE754_INVALID_OPERATION	0x10

/* cmp operators
*/
#define IEEE754_CLT	0x01
#define IEEE754_CEQ	0x02
#define IEEE754_CGT	0x04
#define IEEE754_CUN	0x08

/* rounding mode
*/
#define IEEE754_RN	0	/* round to nearest */
#define IEEE754_RZ	1	/* round toward zero  */
#define IEEE754_RD	2	/* round toward -Infinity */
#define IEEE754_RU	3	/* round toward +Infinity */

/* other naming */
#define IEEE754_RM	IEEE754_RD
#define IEEE754_RP	IEEE754_RU

/* "normal" comparisons
*/
static inline int ieee754sp_eq(union ieee754sp x, union ieee754sp y)
{
	return ieee754sp_cmp(x, y, IEEE754_CEQ, 0);
}

static inline int ieee754sp_ne(union ieee754sp x, union ieee754sp y)
{
	return ieee754sp_cmp(x, y,
			     IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
}

static inline int ieee754sp_lt(union ieee754sp x, union ieee754sp y)
{
	return ieee754sp_cmp(x, y, IEEE754_CLT, 0);
}

static inline int ieee754sp_le(union ieee754sp x, union ieee754sp y)
{
	return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
}

static inline int ieee754sp_gt(union ieee754sp x, union ieee754sp y)
{
	return ieee754sp_cmp(x, y, IEEE754_CGT, 0);
}


static inline int ieee754sp_ge(union ieee754sp x, union ieee754sp y)
{
	return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
}

static inline int ieee754dp_eq(union ieee754dp x, union ieee754dp y)
{
	return ieee754dp_cmp(x, y, IEEE754_CEQ, 0);
}

static inline int ieee754dp_ne(union ieee754dp x, union ieee754dp y)
{
	return ieee754dp_cmp(x, y,
			     IEEE754_CLT | IEEE754_CGT | IEEE754_CUN, 0);
}

static inline int ieee754dp_lt(union ieee754dp x, union ieee754dp y)
{
	return ieee754dp_cmp(x, y, IEEE754_CLT, 0);
}

static inline int ieee754dp_le(union ieee754dp x, union ieee754dp y)
{
	return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ, 0);
}

static inline int ieee754dp_gt(union ieee754dp x, union ieee754dp y)
{
	return ieee754dp_cmp(x, y, IEEE754_CGT, 0);
}

static inline int ieee754dp_ge(union ieee754dp x, union ieee754dp y)
{
	return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ, 0);
}


/*
 * Like strtod
 */
union ieee754dp ieee754dp_fstr(const char *s, char **endp);
char *ieee754dp_tstr(union ieee754dp x, int prec, int fmt, int af);


/*
 * The control status register
 */
struct _ieee754_csr {
	__BITFIELD_FIELD(unsigned pad0:7,
	__BITFIELD_FIELD(unsigned nod:1,	/* set 1 for no denormalised numbers */
	__BITFIELD_FIELD(unsigned c:1,		/* condition */
	__BITFIELD_FIELD(unsigned pad1:5,
	__BITFIELD_FIELD(unsigned cx:6,		/* exceptions this operation */
	__BITFIELD_FIELD(unsigned mx:5,		/* exception enable  mask */
	__BITFIELD_FIELD(unsigned sx:5,		/* exceptions total */
	__BITFIELD_FIELD(unsigned rm:2,		/* current rounding mode */
	;))))))))
};
#define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.fcr31))

static inline unsigned ieee754_getrm(void)
{
	return (ieee754_csr.rm);
}
static inline unsigned ieee754_setrm(unsigned rm)
{
	return (ieee754_csr.rm = rm);
}

/*
 * get current exceptions
 */
static inline unsigned ieee754_getcx(void)
{
	return (ieee754_csr.cx);
}

/* test for current exception condition
 */
static inline int ieee754_cxtest(unsigned n)
{
	return (ieee754_csr.cx & n);
}

/*
 * get sticky exceptions
 */
static inline unsigned ieee754_getsx(void)
{
	return (ieee754_csr.sx);
}

/* clear sticky conditions
*/
static inline unsigned ieee754_clrsx(void)
{
	return (ieee754_csr.sx = 0);
}

/* test for sticky exception condition
 */
static inline int ieee754_sxtest(unsigned n)
{
	return (ieee754_csr.sx & n);
}

/* debugging */
union ieee754sp ieee754sp_dump(char *s, union ieee754sp x);
union ieee754dp ieee754dp_dump(char *s, union ieee754dp x);

#define IEEE754_SPCVAL_PZERO	0
#define IEEE754_SPCVAL_NZERO	1
#define IEEE754_SPCVAL_PONE	2
#define IEEE754_SPCVAL_NONE	3
#define IEEE754_SPCVAL_PTEN	4
#define IEEE754_SPCVAL_NTEN	5
#define IEEE754_SPCVAL_PINFINITY	6
#define IEEE754_SPCVAL_NINFINITY	7
#define IEEE754_SPCVAL_INDEF	8
#define IEEE754_SPCVAL_PMAX	9	/* +max norm */
#define IEEE754_SPCVAL_NMAX	10	/* -max norm */
#define IEEE754_SPCVAL_PMIN	11	/* +min norm */
#define IEEE754_SPCVAL_NMIN	12	/* +min norm */
#define IEEE754_SPCVAL_PMIND	13	/* +min denorm */
#define IEEE754_SPCVAL_NMIND	14	/* +min denorm */
#define IEEE754_SPCVAL_P1E31	15	/* + 1.0e31 */
#define IEEE754_SPCVAL_P1E63	16	/* + 1.0e63 */

extern const struct ieee754dp_const __ieee754dp_spcvals[];
extern const struct ieee754sp_const __ieee754sp_spcvals[];
#define ieee754dp_spcvals ((const union ieee754dp *)__ieee754dp_spcvals)
#define ieee754sp_spcvals ((const union ieee754sp *)__ieee754sp_spcvals)

/*
 * Return infinity with given sign
 */
#define ieee754dp_inf(sn)     (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
#define ieee754dp_zero(sn)	(ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
#define ieee754dp_one(sn)	(ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
#define ieee754dp_ten(sn)	(ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
#define ieee754dp_indef()	(ieee754dp_spcvals[IEEE754_SPCVAL_INDEF])
#define ieee754dp_max(sn)	(ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
#define ieee754dp_min(sn)	(ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
#define ieee754dp_mind(sn)	(ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
#define ieee754dp_1e31()	(ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
#define ieee754dp_1e63()	(ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])

#define ieee754sp_inf(sn)     (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
#define ieee754sp_zero(sn)	(ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
#define ieee754sp_one(sn)	(ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
#define ieee754sp_ten(sn)	(ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
#define ieee754sp_indef()	(ieee754sp_spcvals[IEEE754_SPCVAL_INDEF])
#define ieee754sp_max(sn)	(ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
#define ieee754sp_min(sn)	(ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
#define ieee754sp_mind(sn)	(ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
#define ieee754sp_1e31()	(ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
#define ieee754sp_1e63()	(ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])

/*
 * Indefinite integer value
 */
#define ieee754si_indef()	INT_MAX
#ifdef LONG_LONG_MAX
#define ieee754di_indef()	LONG_LONG_MAX
#else
#define ieee754di_indef()	((s64)(~0ULL>>1))
#endif

/* IEEE exception context, passed to handler */
struct ieee754xctx {
	const char *op;		/* operation name */
	int rt;			/* result type */
	union {
		union ieee754sp sp;	/* single precision */
		union ieee754dp dp;	/* double precision */
#ifdef IEEE854_XP
		ieee754xp xp;	/* extended precision */
#endif
		int si;		/* standard signed integer (32bits) */
		s64 di;		/* extended signed integer (64bits) */
	} rv;			/* default result format implied by op */
	va_list ap;
};

/* result types for xctx.rt */
#define IEEE754_RT_SP	0
#define IEEE754_RT_DP	1
#define IEEE754_RT_XP	2
#define IEEE754_RT_SI	3
#define IEEE754_RT_DI	4

extern void __cold ieee754_xcpt(struct ieee754xctx *xcp);

/* compat */
#define ieee754dp_fix(x)	ieee754dp_tint(x)
#define ieee754sp_fix(x)	ieee754sp_tint(x)

#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */