about summary refs log tree commit diff
path: root/sysdeps/mips/ieee754/ieee754.h
blob: 75059f733b360a564916bf9a09e046d3fec1c0af (plain) (blame)
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
/* Copyright (C) 1992-2020 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library.  If not, see
   <https://www.gnu.org/licenses/>.  */

#ifndef _IEEE754_H
#define _IEEE754_H 1

#include <features.h>

#include <bits/endian.h>

#ifndef __LDBL_MANT_DIG__
# include <float.h>
# define __LDBL_MANT_DIG__ __LDBL_MANT_DIG__
#endif

__BEGIN_DECLS

union ieee754_float
  {
    float f;

    /* This is the IEEE 754 single-precision format.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:8;
	unsigned int mantissa:23;
#endif				/* Big endian.  */
#if	__BYTE_ORDER == __LITTLE_ENDIAN
	unsigned int mantissa:23;
	unsigned int exponent:8;
	unsigned int negative:1;
#endif				/* Little endian.  */
      } ieee;

    /* This format makes it easier to see if a NaN is a signalling NaN.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:8;
	unsigned int quiet_nan:1;
	unsigned int mantissa:22;
#endif				/* Big endian.  */
#if	__BYTE_ORDER == __LITTLE_ENDIAN
	unsigned int mantissa:22;
	unsigned int quiet_nan:1;
	unsigned int exponent:8;
	unsigned int negative:1;
#endif				/* Little endian.  */
      } ieee_nan;
  };

#define IEEE754_FLOAT_BIAS	0x7f /* Added to exponent.  */


union ieee754_double
  {
    double d;

    /* This is the IEEE 754 double-precision format.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:11;
	/* Together these comprise the mantissa.  */
	unsigned int mantissa0:20;
	unsigned int mantissa1:32;
#endif				/* Big endian.  */
#if	__BYTE_ORDER == __LITTLE_ENDIAN
# if	__FLOAT_WORD_ORDER == __BIG_ENDIAN
	unsigned int mantissa0:20;
	unsigned int exponent:11;
	unsigned int negative:1;
	unsigned int mantissa1:32;
# else
	/* Together these comprise the mantissa.  */
	unsigned int mantissa1:32;
	unsigned int mantissa0:20;
	unsigned int exponent:11;
	unsigned int negative:1;
# endif
#endif				/* Little endian.  */
      } ieee;

    /* This format makes it easier to see if a NaN is a signalling NaN.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:11;
	unsigned int quiet_nan:1;
	/* Together these comprise the mantissa.  */
	unsigned int mantissa0:19;
	unsigned int mantissa1:32;
#else
# if	__FLOAT_WORD_ORDER == __BIG_ENDIAN
	unsigned int mantissa0:19;
	unsigned int quiet_nan:1;
	unsigned int exponent:11;
	unsigned int negative:1;
	unsigned int mantissa1:32;
# else
	/* Together these comprise the mantissa.  */
	unsigned int mantissa1:32;
	unsigned int mantissa0:19;
	unsigned int quiet_nan:1;
	unsigned int exponent:11;
	unsigned int negative:1;
# endif
#endif
      } ieee_nan;
  };

#define IEEE754_DOUBLE_BIAS	0x3ff /* Added to exponent.  */

#if __LDBL_MANT_DIG__ == 113

union ieee854_long_double
  {
    long double d;

    /* This is the IEEE 854 quad-precision format.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:15;
	/* Together these comprise the mantissa.  */
	unsigned int mantissa0:16;
	unsigned int mantissa1:32;
	unsigned int mantissa2:32;
	unsigned int mantissa3:32;
#endif				/* Big endian.  */
#if	__BYTE_ORDER == __LITTLE_ENDIAN
	/* Together these comprise the mantissa.  */
	unsigned int mantissa3:32;
	unsigned int mantissa2:32;
	unsigned int mantissa1:32;
	unsigned int mantissa0:16;
	unsigned int exponent:15;
	unsigned int negative:1;
#endif				/* Little endian.  */
      } ieee;

    /* This format makes it easier to see if a NaN is a signalling NaN.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:15;
	unsigned int quiet_nan:1;
	/* Together these comprise the mantissa.  */
	unsigned int mantissa0:15;
	unsigned int mantissa1:32;
	unsigned int mantissa2:32;
	unsigned int mantissa3:32;
#endif				/* Big endian.  */
#if	__BYTE_ORDER == __LITTLE_ENDIAN
	/* Together these comprise the mantissa.  */
	unsigned int mantissa3:32;
	unsigned int mantissa2:32;
	unsigned int mantissa1:32;
	unsigned int mantissa0:15;
	unsigned int quiet_nan:1;
	unsigned int exponent:15;
	unsigned int negative:1;
#endif				/* Little endian.  */
      } ieee_nan;
  };

#define IEEE854_LONG_DOUBLE_BIAS 0x3fff /* Added to exponent.  */

#elif __LDBL_MANT_DIG__ == 64

union ieee854_long_double
  {
    long double d;

    /* This is the IEEE 854 double-extended-precision format.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:15;
	unsigned int empty:16;
	unsigned int mantissa0:32;
	unsigned int mantissa1:32;
#endif
#if	__BYTE_ORDER == __LITTLE_ENDIAN
# if	__FLOAT_WORD_ORDER == __BIG_ENDIAN
	unsigned int exponent:15;
	unsigned int negative:1;
	unsigned int empty:16;
	unsigned int mantissa0:32;
	unsigned int mantissa1:32;
# else
	unsigned int mantissa1:32;
	unsigned int mantissa0:32;
	unsigned int exponent:15;
	unsigned int negative:1;
	unsigned int empty:16;
# endif
#endif
      } ieee;

    /* This is for NaNs in the IEEE 854 double-extended-precision format.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:15;
	unsigned int empty:16;
	unsigned int one:1;
	unsigned int quiet_nan:1;
	unsigned int mantissa0:30;
	unsigned int mantissa1:32;
#endif
#if	__BYTE_ORDER == __LITTLE_ENDIAN
# if	__FLOAT_WORD_ORDER == __BIG_ENDIAN
	unsigned int exponent:15;
	unsigned int negative:1;
	unsigned int empty:16;
	unsigned int mantissa0:30;
	unsigned int quiet_nan:1;
	unsigned int one:1;
	unsigned int mantissa1:32;
# else
	unsigned int mantissa1:32;
	unsigned int mantissa0:30;
	unsigned int quiet_nan:1;
	unsigned int one:1;
	unsigned int exponent:15;
	unsigned int negative:1;
	unsigned int empty:16;
# endif
#endif
      } ieee_nan;
  };

#define IEEE854_LONG_DOUBLE_BIAS 0x3fff

#elif __LDBL_MANT_DIG__ == 53

union ieee854_long_double
  {
    long double d;

    /* This is the IEEE 754 double-precision format.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:11;
	/* Together these comprise the mantissa.  */
	unsigned int mantissa0:20;
	unsigned int mantissa1:32;
#endif				/* Big endian.  */
#if	__BYTE_ORDER == __LITTLE_ENDIAN
# if	__FLOAT_WORD_ORDER == __BIG_ENDIAN
	unsigned int mantissa0:20;
	unsigned int exponent:11;
	unsigned int negative:1;
	unsigned int mantissa1:32;
# else
	/* Together these comprise the mantissa.  */
	unsigned int mantissa1:32;
	unsigned int mantissa0:20;
	unsigned int exponent:11;
	unsigned int negative:1;
# endif
#endif				/* Little endian.  */
      } ieee;

    /* This format makes it easier to see if a NaN is a signalling NaN.  */
    struct
      {
#if	__BYTE_ORDER == __BIG_ENDIAN
	unsigned int negative:1;
	unsigned int exponent:11;
	unsigned int quiet_nan:1;
	/* Together these comprise the mantissa.  */
	unsigned int mantissa0:19;
	unsigned int mantissa1:32;
#else
# if	__FLOAT_WORD_ORDER == __BIG_ENDIAN
	unsigned int mantissa0:19;
	unsigned int quiet_nan:1;
	unsigned int exponent:11;
	unsigned int negative:1;
	unsigned int mantissa1:32;
# else
	/* Together these comprise the mantissa.  */
	unsigned int mantissa1:32;
	unsigned int mantissa0:19;
	unsigned int quiet_nan:1;
	unsigned int exponent:11;
	unsigned int negative:1;
# endif
#endif
      } ieee_nan;
  };

#define IEEE854_LONG_DOUBLE_BIAS	0x3ff /* Added to exponent.  */

#endif /* __LDBL_MANT_DIG__ == 53 */

__END_DECLS

#endif /* ieee754.h */