summaryrefslogtreecommitdiffstats
path: root/libc/arch-arm/include/machine/ieee.h
blob: 5f9b89ecc0eaaf26651d2c1fcc44afdda4dabf93 (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
/*	$OpenBSD: ieee.h,v 1.1 2004/02/01 05:09:49 drahn Exp $	*/
/*	$NetBSD: ieee.h,v 1.2 2001/02/21 17:43:50 bjh21 Exp $	*/

/*
 * Copyright (c) 1992, 1993
 *	The Regents of the University of California.  All rights reserved.
 *
 * This software was developed by the Computer Systems Engineering group
 * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
 * contributed to Berkeley.
 *
 * All advertising materials mentioning features or use of this software
 * must display the following acknowledgement:
 *	This product includes software developed by the University of
 *	California, Lawrence Berkeley Laboratory.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 * 3. All advertising materials mentioning features or use of this software
 *    must display the following acknowledgement:
 *	This product includes software developed by the University of
 *	California, Berkeley and its contributors.
 * 4. Neither the name of the University nor the names of its contributors
 *    may be used to endorse or promote products derived from this software
 *    without specific prior written permission.
 *
 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 *
 *	@(#)ieee.h	8.1 (Berkeley) 6/11/93
 */

/*
 * ieee.h defines the machine-dependent layout of the machine's IEEE
 * floating point.
 */

/*
 * Define the number of bits in each fraction and exponent.
 *
 *		     k	         k+1
 * Note that  1.0 x 2  == 0.1 x 2      and that denorms are represented
 *
 *					  (-exp_bias+1)
 * as fractions that look like 0.fffff x 2             .  This means that
 *
 *			 -126
 * the number 0.10000 x 2    , for instance, is the same as the normalized
 *
 *		-127			   -128
 * float 1.0 x 2    .  Thus, to represent 2    , we need one leading zero
 *
 *				  -129
 * in the fraction; to represent 2    , we need two, and so on.  This
 *
 *						     (-exp_bias-fracbits+1)
 * implies that the smallest denormalized number is 2
 *
 * for whichever format we are talking about: for single precision, for
 *
 *						-126		-149
 * instance, we get .00000000000000000000001 x 2    , or 1.0 x 2    , and
 *
 * -149 == -127 - 23 + 1.
 */

/*
 * The ARM has two sets of FP data formats.  The FPA supports 32-bit, 64-bit
 * and 96-bit IEEE formats, with the words in big-endian order.  VFP supports
 * 32-bin and 64-bit IEEE formats with the words in the CPU's native byte
 * order.
 *
 * The FPA also has two packed decimal formats, but we ignore them here.
 */

#define	SNG_EXPBITS	8
#define	SNG_FRACBITS	23

#define	DBL_EXPBITS	11
#define	DBL_FRACBITS	52

#ifndef __VFP_FP__
#define	E80_EXPBITS	15
#define	E80_FRACBITS	64

#define	EXT_EXPBITS	15
#define	EXT_FRACBITS	112
#endif

struct ieee_single {
	u_int	sng_frac:23;
	u_int	sng_exponent:8;
	u_int	sng_sign:1;
};

#ifdef __VFP_FP__
struct ieee_double {
#ifdef __ARMEB__
	u_int	dbl_sign:1;
	u_int	dbl_exp:11;
	u_int	dbl_frach:20;
	u_int	dbl_fracl;
#else /* !__ARMEB__ */
	u_int	dbl_fracl;
	u_int	dbl_frach:20;
	u_int	dbl_exp:11;
	u_int	dbl_sign:1;
#endif /* !__ARMEB__ */
};
#else /* !__VFP_FP__ */
struct ieee_double {
	u_int	dbl_frach:20;
	u_int	dbl_exp:11;
	u_int	dbl_sign:1;
	u_int	dbl_fracl;
};

union ieee_double_u {
	double                  dblu_d;
	struct ieee_double      dblu_dbl;
};


struct ieee_e80 {
	u_int	e80_exp:15;
	u_int	e80_zero:16;
	u_int	e80_sign:1;
	u_int	e80_frach:31;
	u_int	e80_j:1;
	u_int	e80_fracl;
};

struct ieee_ext {
	u_int	ext_frach:16;
	u_int	ext_exp:15;
	u_int	ext_sign:1;
	u_int	ext_frachm;
	u_int	ext_fraclm;
	u_int	ext_fracl;
};
#endif /* !__VFP_FP__ */

/*
 * Floats whose exponent is in [1..INFNAN) (of whatever type) are
 * `normal'.  Floats whose exponent is INFNAN are either Inf or NaN.
 * Floats whose exponent is zero are either zero (iff all fraction
 * bits are zero) or subnormal values.
 *
 * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
 * high fraction; if the bit is set, it is a `quiet NaN'.
 */
#define	SNG_EXP_INFNAN	255
#define	DBL_EXP_INFNAN	2047
#ifndef __VFP_FP__
#define	E80_EXP_INFNAN	32767
#define	EXT_EXP_INFNAN	32767
#endif /* !__VFP_FP__ */

#if 0
#define	SNG_QUIETNAN	(1 << 22)
#define	DBL_QUIETNAN	(1 << 19)
#ifndef __VFP_FP__
#define	E80_QUIETNAN	(1 << 15)
#define	EXT_QUIETNAN	(1 << 15)
#endif /* !__VFP_FP__ */
#endif

/*
 * Exponent biases.
 */
#define	SNG_EXP_BIAS	127
#define	DBL_EXP_BIAS	1023
#ifndef __VFP_FP__
#define	E80_EXP_BIAS	16383
#define	EXT_EXP_BIAS	16383
#endif /* !__VFP_FP__ */