Book a Demo!
CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutPoliciesSign UpSign In
torvalds
GitHub Repository: torvalds/linux
Path: blob/master/arch/mips/math-emu/ieee754.h
26424 views
1
/* SPDX-License-Identifier: GPL-2.0-only */
2
/*
3
* MIPS floating point support
4
* Copyright (C) 1994-2000 Algorithmics Ltd.
5
*
6
* Nov 7, 2000
7
* Modification to allow integration with Linux kernel
8
*
9
* Kevin D. Kissell, [email protected] and Carsten Langgard, [email protected]
10
* Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved.
11
*/
12
#ifndef __ARCH_MIPS_MATH_EMU_IEEE754_H
13
#define __ARCH_MIPS_MATH_EMU_IEEE754_H
14
15
#include <linux/compiler.h>
16
#include <asm/byteorder.h>
17
#include <linux/kernel.h>
18
#include <linux/types.h>
19
#include <linux/sched.h>
20
#include <asm/bitfield.h>
21
22
union ieee754dp {
23
struct {
24
__BITFIELD_FIELD(unsigned int sign:1,
25
__BITFIELD_FIELD(unsigned int bexp:11,
26
__BITFIELD_FIELD(u64 mant:52,
27
;)))
28
};
29
u64 bits;
30
};
31
32
union ieee754sp {
33
struct {
34
__BITFIELD_FIELD(unsigned sign:1,
35
__BITFIELD_FIELD(unsigned bexp:8,
36
__BITFIELD_FIELD(unsigned mant:23,
37
;)))
38
};
39
u32 bits;
40
};
41
42
/*
43
* single precision (often aka float)
44
*/
45
int ieee754sp_class(union ieee754sp x);
46
47
union ieee754sp ieee754sp_abs(union ieee754sp x);
48
union ieee754sp ieee754sp_neg(union ieee754sp x);
49
50
union ieee754sp ieee754sp_add(union ieee754sp x, union ieee754sp y);
51
union ieee754sp ieee754sp_sub(union ieee754sp x, union ieee754sp y);
52
union ieee754sp ieee754sp_mul(union ieee754sp x, union ieee754sp y);
53
union ieee754sp ieee754sp_div(union ieee754sp x, union ieee754sp y);
54
55
union ieee754sp ieee754sp_fint(int x);
56
union ieee754sp ieee754sp_flong(s64 x);
57
union ieee754sp ieee754sp_fdp(union ieee754dp x);
58
union ieee754sp ieee754sp_rint(union ieee754sp x);
59
60
int ieee754sp_tint(union ieee754sp x);
61
s64 ieee754sp_tlong(union ieee754sp x);
62
63
int ieee754sp_cmp(union ieee754sp x, union ieee754sp y, int cop, int sig);
64
65
union ieee754sp ieee754sp_sqrt(union ieee754sp x);
66
67
union ieee754sp ieee754sp_maddf(union ieee754sp z, union ieee754sp x,
68
union ieee754sp y);
69
union ieee754sp ieee754sp_msubf(union ieee754sp z, union ieee754sp x,
70
union ieee754sp y);
71
union ieee754sp ieee754sp_madd(union ieee754sp z, union ieee754sp x,
72
union ieee754sp y);
73
union ieee754sp ieee754sp_msub(union ieee754sp z, union ieee754sp x,
74
union ieee754sp y);
75
union ieee754sp ieee754sp_nmadd(union ieee754sp z, union ieee754sp x,
76
union ieee754sp y);
77
union ieee754sp ieee754sp_nmsub(union ieee754sp z, union ieee754sp x,
78
union ieee754sp y);
79
int ieee754sp_2008class(union ieee754sp x);
80
union ieee754sp ieee754sp_fmin(union ieee754sp x, union ieee754sp y);
81
union ieee754sp ieee754sp_fmina(union ieee754sp x, union ieee754sp y);
82
union ieee754sp ieee754sp_fmax(union ieee754sp x, union ieee754sp y);
83
union ieee754sp ieee754sp_fmaxa(union ieee754sp x, union ieee754sp y);
84
85
/*
86
* double precision (often aka double)
87
*/
88
int ieee754dp_class(union ieee754dp x);
89
90
union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y);
91
union ieee754dp ieee754dp_sub(union ieee754dp x, union ieee754dp y);
92
union ieee754dp ieee754dp_mul(union ieee754dp x, union ieee754dp y);
93
union ieee754dp ieee754dp_div(union ieee754dp x, union ieee754dp y);
94
95
union ieee754dp ieee754dp_abs(union ieee754dp x);
96
union ieee754dp ieee754dp_neg(union ieee754dp x);
97
98
union ieee754dp ieee754dp_fint(int x);
99
union ieee754dp ieee754dp_flong(s64 x);
100
union ieee754dp ieee754dp_fsp(union ieee754sp x);
101
union ieee754dp ieee754dp_rint(union ieee754dp x);
102
103
int ieee754dp_tint(union ieee754dp x);
104
s64 ieee754dp_tlong(union ieee754dp x);
105
106
int ieee754dp_cmp(union ieee754dp x, union ieee754dp y, int cop, int sig);
107
108
union ieee754dp ieee754dp_sqrt(union ieee754dp x);
109
110
union ieee754dp ieee754dp_maddf(union ieee754dp z, union ieee754dp x,
111
union ieee754dp y);
112
union ieee754dp ieee754dp_msubf(union ieee754dp z, union ieee754dp x,
113
union ieee754dp y);
114
union ieee754dp ieee754dp_madd(union ieee754dp z, union ieee754dp x,
115
union ieee754dp y);
116
union ieee754dp ieee754dp_msub(union ieee754dp z, union ieee754dp x,
117
union ieee754dp y);
118
union ieee754dp ieee754dp_nmadd(union ieee754dp z, union ieee754dp x,
119
union ieee754dp y);
120
union ieee754dp ieee754dp_nmsub(union ieee754dp z, union ieee754dp x,
121
union ieee754dp y);
122
int ieee754dp_2008class(union ieee754dp x);
123
union ieee754dp ieee754dp_fmin(union ieee754dp x, union ieee754dp y);
124
union ieee754dp ieee754dp_fmina(union ieee754dp x, union ieee754dp y);
125
union ieee754dp ieee754dp_fmax(union ieee754dp x, union ieee754dp y);
126
union ieee754dp ieee754dp_fmaxa(union ieee754dp x, union ieee754dp y);
127
128
129
/* 5 types of floating point number
130
*/
131
enum {
132
IEEE754_CLASS_NORM = 0x00,
133
IEEE754_CLASS_ZERO = 0x01,
134
IEEE754_CLASS_DNORM = 0x02,
135
IEEE754_CLASS_INF = 0x03,
136
IEEE754_CLASS_SNAN = 0x04,
137
IEEE754_CLASS_QNAN = 0x05,
138
};
139
140
/* exception numbers */
141
#define IEEE754_INEXACT 0x01
142
#define IEEE754_UNDERFLOW 0x02
143
#define IEEE754_OVERFLOW 0x04
144
#define IEEE754_ZERO_DIVIDE 0x08
145
#define IEEE754_INVALID_OPERATION 0x10
146
147
/* cmp operators
148
*/
149
#define IEEE754_CLT 0x01
150
#define IEEE754_CEQ 0x02
151
#define IEEE754_CGT 0x04
152
#define IEEE754_CUN 0x08
153
154
/*
155
* The control status register
156
*/
157
struct _ieee754_csr {
158
__BITFIELD_FIELD(unsigned fcc:7, /* condition[7:1] */
159
__BITFIELD_FIELD(unsigned nod:1, /* set 1 for no denormals */
160
__BITFIELD_FIELD(unsigned c:1, /* condition[0] */
161
__BITFIELD_FIELD(unsigned pad0:3,
162
__BITFIELD_FIELD(unsigned abs2008:1, /* IEEE 754-2008 ABS/NEG.fmt */
163
__BITFIELD_FIELD(unsigned nan2008:1, /* IEEE 754-2008 NaN mode */
164
__BITFIELD_FIELD(unsigned cx:6, /* exceptions this operation */
165
__BITFIELD_FIELD(unsigned mx:5, /* exception enable mask */
166
__BITFIELD_FIELD(unsigned sx:5, /* exceptions total */
167
__BITFIELD_FIELD(unsigned rm:2, /* current rounding mode */
168
;))))))))))
169
};
170
#define ieee754_csr (*(struct _ieee754_csr *)(&current->thread.fpu.fcr31))
171
172
static inline unsigned int ieee754_getrm(void)
173
{
174
return (ieee754_csr.rm);
175
}
176
177
static inline unsigned int ieee754_setrm(unsigned int rm)
178
{
179
return (ieee754_csr.rm = rm);
180
}
181
182
/*
183
* get current exceptions
184
*/
185
static inline unsigned int ieee754_getcx(void)
186
{
187
return (ieee754_csr.cx);
188
}
189
190
/* test for current exception condition
191
*/
192
static inline int ieee754_cxtest(unsigned int n)
193
{
194
return (ieee754_csr.cx & n);
195
}
196
197
/*
198
* get sticky exceptions
199
*/
200
static inline unsigned int ieee754_getsx(void)
201
{
202
return (ieee754_csr.sx);
203
}
204
205
/* clear sticky conditions
206
*/
207
static inline unsigned int ieee754_clrsx(void)
208
{
209
return (ieee754_csr.sx = 0);
210
}
211
212
/* test for sticky exception condition
213
*/
214
static inline int ieee754_sxtest(unsigned int n)
215
{
216
return (ieee754_csr.sx & n);
217
}
218
219
/* debugging */
220
union ieee754sp ieee754sp_dump(char *s, union ieee754sp x);
221
union ieee754dp ieee754dp_dump(char *s, union ieee754dp x);
222
223
#define IEEE754_SPCVAL_PZERO 0 /* +0.0 */
224
#define IEEE754_SPCVAL_NZERO 1 /* -0.0 */
225
#define IEEE754_SPCVAL_PONE 2 /* +1.0 */
226
#define IEEE754_SPCVAL_NONE 3 /* -1.0 */
227
#define IEEE754_SPCVAL_PTEN 4 /* +10.0 */
228
#define IEEE754_SPCVAL_NTEN 5 /* -10.0 */
229
#define IEEE754_SPCVAL_PINFINITY 6 /* +inf */
230
#define IEEE754_SPCVAL_NINFINITY 7 /* -inf */
231
#define IEEE754_SPCVAL_INDEF_LEG 8 /* legacy quiet NaN */
232
#define IEEE754_SPCVAL_INDEF_2008 9 /* IEEE 754-2008 quiet NaN */
233
#define IEEE754_SPCVAL_PMAX 10 /* +max norm */
234
#define IEEE754_SPCVAL_NMAX 11 /* -max norm */
235
#define IEEE754_SPCVAL_PMIN 12 /* +min norm */
236
#define IEEE754_SPCVAL_NMIN 13 /* -min norm */
237
#define IEEE754_SPCVAL_PMIND 14 /* +min denorm */
238
#define IEEE754_SPCVAL_NMIND 15 /* -min denorm */
239
#define IEEE754_SPCVAL_P1E31 16 /* + 1.0e31 */
240
#define IEEE754_SPCVAL_P1E63 17 /* + 1.0e63 */
241
242
extern const union ieee754dp __ieee754dp_spcvals[];
243
extern const union ieee754sp __ieee754sp_spcvals[];
244
#define ieee754dp_spcvals ((const union ieee754dp *)__ieee754dp_spcvals)
245
#define ieee754sp_spcvals ((const union ieee754sp *)__ieee754sp_spcvals)
246
247
/*
248
* Return infinity with given sign
249
*/
250
#define ieee754dp_inf(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
251
#define ieee754dp_zero(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
252
#define ieee754dp_one(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
253
#define ieee754dp_ten(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
254
#define ieee754dp_indef() (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF_LEG + \
255
ieee754_csr.nan2008])
256
#define ieee754dp_max(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
257
#define ieee754dp_min(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
258
#define ieee754dp_mind(sn) (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
259
#define ieee754dp_1e31() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31])
260
#define ieee754dp_1e63() (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63])
261
262
#define ieee754sp_inf(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)])
263
#define ieee754sp_zero(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)])
264
#define ieee754sp_one(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)])
265
#define ieee754sp_ten(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)])
266
#define ieee754sp_indef() (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF_LEG + \
267
ieee754_csr.nan2008])
268
#define ieee754sp_max(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)])
269
#define ieee754sp_min(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)])
270
#define ieee754sp_mind(sn) (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)])
271
#define ieee754sp_1e31() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31])
272
#define ieee754sp_1e63() (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63])
273
274
/*
275
* Indefinite integer value
276
*/
277
static inline int ieee754si_indef(void)
278
{
279
return ieee754_csr.nan2008 ? 0 : INT_MAX;
280
}
281
282
static inline s64 ieee754di_indef(void)
283
{
284
return ieee754_csr.nan2008 ? 0 : S64_MAX;
285
}
286
287
/*
288
* Overflow integer value
289
*/
290
static inline int ieee754si_overflow(int xs)
291
{
292
return ieee754_csr.nan2008 && xs ? INT_MIN : INT_MAX;
293
}
294
295
static inline s64 ieee754di_overflow(int xs)
296
{
297
return ieee754_csr.nan2008 && xs ? S64_MIN : S64_MAX;
298
}
299
300
/* result types for xctx.rt */
301
#define IEEE754_RT_SP 0
302
#define IEEE754_RT_DP 1
303
#define IEEE754_RT_XP 2
304
#define IEEE754_RT_SI 3
305
#define IEEE754_RT_DI 4
306
307
/* compat */
308
#define ieee754dp_fix(x) ieee754dp_tint(x)
309
#define ieee754sp_fix(x) ieee754sp_tint(x)
310
311
#endif /* __ARCH_MIPS_MATH_EMU_IEEE754_H */
312
313