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
|
/****************************************************************
*
* The author of this software is David M. Gay.
*
* Copyright (c) 1991 by AT&T.
*
* Permission to use, copy, modify, and distribute this software for any
* purpose without fee is hereby granted, provided that this entire notice
* is included in all copies of any software which is or includes a copy
* or modification of this software and in all copies of the supporting
* documentation for such software.
*
* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
* WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
* REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
* OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
*
***************************************************************/
/* Please send bug reports to
David M. Gay
AT&T Bell Laboratories, Room 2C-463
600 Mountain Avenue
Murray Hill, NJ 07974-2070
U.S.A.
dmg@research.att.com or research!dmg
*/
/* This header file is a modification of mprec.h that only contains floating
point union code. */
#include <newlib.h>
#include <ieeefp.h>
#include <math.h>
#include <float.h>
#include <errno.h>
#include <sys/config.h>
#include <sys/cdefs.h>
#ifdef __IEEE_LITTLE_ENDIAN
#define IEEE_8087
#endif
#ifdef __IEEE_BIG_ENDIAN
#define IEEE_MC68k
#endif
#ifdef __Z8000__
#define Just_16
#endif
#ifdef Unsigned_Shifts
#define Sign_Extend(a,b) if (b < 0) a |= (__uint32_t)0xffff0000;
#else
#define Sign_Extend(a,b) /*no-op*/
#endif
#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
#endif
#ifdef _WANT_IO_LONG_DOUBLE
/* If we are going to examine or modify specific bits in a long double using
the lword0 or lwordx macros, then we must wrap the long double inside
a union. This is necessary to avoid undefined behavior according to
the ANSI C spec. */
#ifdef IEEE_8087
#if LDBL_MANT_DIG == 24
struct ldieee
{
__uint32_t manh:23;
__uint32_t exp:8;
__uint32_t sign:1;
} __packed;
#elif LDBL_MANT_DIG == 53
struct ldieee
{
__uint32_t manl:20;
__uint32_t manh:32;
__uint32_t exp:11;
__uint32_t sign:1;
} __packed;
#elif LDBL_MANT_DIG == 64
struct ldieee
{
__uint32_t manl:32;
__uint32_t manh:32;
__uint32_t exp:15;
__uint32_t sign:1;
} __packed;
#elif LDBL_MANT_DIG > 64
struct ldieee
{
__uint32_t manl3:16;
__uint32_t manl2:32;
__uint32_t manl:32;
__uint32_t manh:32;
__uint32_t exp:15;
__uint32_t sign:1;
} __packed;
#endif /* LDBL_MANT_DIG */
#else /* !IEEE_8087 */
#if LDBL_MANT_DIG == 24
struct ldieee
{
__uint32_t sign:1;
__uint32_t exp:8;
__uint32_t manh:23;
} __packed;
#elif LDBL_MANT_DIG == 53
struct ldieee
{
__uint32_t sign:1;
__uint32_t exp:11;
__uint32_t manh:32;
__uint32_t manl:20;
} __packed;
#elif LDBL_MANT_DIG == 64
struct ldieee
{
__uint32_t sign:1;
__uint32_t exp:15;
__uint32_t manh:32;
__uint32_t manl:32;
} __packed;
#elif LDBL_MANT_DIG > 64
struct ldieee
{
__uint32_t sign:1;
__uint32_t exp:15;
__uint32_t manh:32;
__uint32_t manl:32;
__uint32_t manl2:32;
__uint32_t manl3:16;
} __packed;
#endif /* LDBL_MANT_DIG */
#endif /* !IEEE_8087 */
#endif /* _WANT_IO_LONG_DOUBLE */
/* If we are going to examine or modify specific bits in a double using
the word0 and/or word1 macros, then we must wrap the double inside
a union. This is necessary to avoid undefined behavior according to
the ANSI C spec. */
union double_union
{
double d;
__uint32_t i[2];
};
#ifdef IEEE_8087
#define word0(x) (x.i[1])
#define word1(x) (x.i[0])
#else
#define word0(x) (x.i[0])
#define word1(x) (x.i[1])
#endif
/* #define P DBL_MANT_DIG */
/* Ten_pmax = floor(P*log(2)/log(5)) */
/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
#if defined(IEEE_8087) + defined(IEEE_MC68k)
#if defined (_DOUBLE_IS_32BITS)
#define Exp_shift 23
#define Exp_shift1 23
#define Exp_msk1 ((__uint32_t)0x00800000L)
#define Exp_msk11 ((__uint32_t)0x00800000L)
#define Exp_mask ((__uint32_t)0x7f800000L)
#define P 24
#define Bias ((__uint32_t)127)
#define IEEE_Arith
#define Emin (-126)
#define Exp_1 ((__uint32_t)0x3f800000L)
#define Exp_11 ((__uint32_t)0x3f800000L)
#define Ebits 8
#define Frac_mask ((__uint32_t)0x007fffffL)
#define Frac_mask1 ((__uint32_t)0x007fffffL)
#define Ten_pmax 10
#define Sign_bit ((__uint32_t)0x80000000L)
#define Ten_pmax 10
#define Bletch 2
#define Bndry_mask ((__uint32_t)0x007fffffL)
#define Bndry_mask1 ((__uint32_t)0x007fffffL)
#define LSB 1
#define Sign_bit ((__uint32_t)0x80000000L)
#define Log2P 1
#define Tiny0 0
#define Tiny1 1
#define Quick_max 5
#define Int_max 6
#define Infinite(x) (word0(x) == ((__uint32_t)0x7f800000L))
#undef word0
#undef word1
#define word0(x) (x.i[0])
#define word1(x) 0
#else
#define Exp_shift 20
#define Exp_shift1 20
#define Exp_msk1 ((__uint32_t)0x100000L)
#define Exp_msk11 ((__uint32_t)0x100000L)
#define Exp_mask ((__uint32_t)0x7ff00000L)
#define P 53
#define Bias ((__uint32_t) 1023)
#define IEEE_Arith
#define Emin (-1022)
#define Exp_1 ((__uint32_t)0x3ff00000L)
#define Exp_11 ((__uint32_t)0x3ff00000L)
#define Ebits 11
#define Frac_mask ((__uint32_t)0xfffffL)
#define Frac_mask1 ((__uint32_t)0xfffffL)
#define Ten_pmax 22
#define Bletch 0x10
#define Bndry_mask ((__uint32_t)0xfffffL)
#define Bndry_mask1 ((__uint32_t)0xfffffL)
#define LSB 1
#define Sign_bit ((__uint32_t)0x80000000L)
#define Log2P 1
#define Tiny0 0
#define Tiny1 1
#define Quick_max 14
#define Int_max 14
#define Infinite(x) (word0(x) == ((__uint32_t)0x7ff00000L)) /* sufficient test for here */
#endif
#else
#undef Sudden_Underflow
#define Sudden_Underflow
#ifdef IBM
#define Exp_shift 24
#define Exp_shift1 24
#define Exp_msk1 ((__uint32_t)0x1000000L)
#define Exp_msk11 ((__uint32_t)0x1000000L)
#define Exp_mask ((__uint32_t)0x7f000000L)
#define P 14
#define Bias ((__uint32_T) 65)
#define Exp_1 ((__uint32_t)0x41000000L)
#define Exp_11 ((__uint32_t)0x41000000L)
#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
#define Frac_mask ((__uint32_t)0xffffffL)
#define Frac_mask1 ((__uint32_t)0xffffffL)
#define Bletch 4
#define Ten_pmax 22
#define Bndry_mask ((__uint32_t)0xefffffL)
#define Bndry_mask1 ((__uint32_t)0xffffffL)
#define LSB 1
#define Sign_bit ((__uint32_t)0x80000000L)
#define Log2P 4
#define Tiny0 ((__uint32_t)0x100000L)
#define Tiny1 0
#define Quick_max 14
#define Int_max 15
#else /* VAX */
#define Exp_shift 23
#define Exp_shift1 7
#define Exp_msk1 0x80
#define Exp_msk11 ((__uint32_t)0x800000L)
#define Exp_mask ((__uint32_t)0x7f80L)
#define P 56
#define Bias ((__uint32_t) 129)
#define Exp_1 ((__uint32_t)0x40800000L)
#define Exp_11 ((__uint32_t)0x4080L)
#define Ebits 8
#define Frac_mask ((__uint32_t)0x7fffffL)
#define Frac_mask1 ((__uint32_t)0xffff007fL)
#define Ten_pmax 24
#define Bletch 2
#define Bndry_mask ((__uint32_t)0xffff007fL)
#define Bndry_mask1 ((__uint32_t)0xffff007fL)
#define LSB ((__uint32_t)0x10000L)
#define Sign_bit ((__uint32_t)0x8000L)
#define Log2P 1
#define Tiny0 0x80
#define Tiny1 0
#define Quick_max 15
#define Int_max 15
#endif
#endif
|
