ieee.h revision 1.1 1 1.1 mycroft /* $NetBSD: ieee.h,v 1.1 1999/08/29 18:21:20 mycroft Exp $ */
2 1.1 mycroft
3 1.1 mycroft /*
4 1.1 mycroft * Copyright (c) 1992, 1993
5 1.1 mycroft * The Regents of the University of California. All rights reserved.
6 1.1 mycroft *
7 1.1 mycroft * This software was developed by the Computer Systems Engineering group
8 1.1 mycroft * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
9 1.1 mycroft * contributed to Berkeley.
10 1.1 mycroft *
11 1.1 mycroft * All advertising materials mentioning features or use of this software
12 1.1 mycroft * must display the following acknowledgement:
13 1.1 mycroft * This product includes software developed by the University of
14 1.1 mycroft * California, Lawrence Berkeley Laboratory.
15 1.1 mycroft *
16 1.1 mycroft * Redistribution and use in source and binary forms, with or without
17 1.1 mycroft * modification, are permitted provided that the following conditions
18 1.1 mycroft * are met:
19 1.1 mycroft * 1. Redistributions of source code must retain the above copyright
20 1.1 mycroft * notice, this list of conditions and the following disclaimer.
21 1.1 mycroft * 2. Redistributions in binary form must reproduce the above copyright
22 1.1 mycroft * notice, this list of conditions and the following disclaimer in the
23 1.1 mycroft * documentation and/or other materials provided with the distribution.
24 1.1 mycroft * 3. All advertising materials mentioning features or use of this software
25 1.1 mycroft * must display the following acknowledgement:
26 1.1 mycroft * This product includes software developed by the University of
27 1.1 mycroft * California, Berkeley and its contributors.
28 1.1 mycroft * 4. Neither the name of the University nor the names of its contributors
29 1.1 mycroft * may be used to endorse or promote products derived from this software
30 1.1 mycroft * without specific prior written permission.
31 1.1 mycroft *
32 1.1 mycroft * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
33 1.1 mycroft * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
34 1.1 mycroft * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
35 1.1 mycroft * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
36 1.1 mycroft * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
37 1.1 mycroft * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
38 1.1 mycroft * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
39 1.1 mycroft * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
40 1.1 mycroft * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
41 1.1 mycroft * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
42 1.1 mycroft * SUCH DAMAGE.
43 1.1 mycroft *
44 1.1 mycroft * @(#)ieee.h 8.1 (Berkeley) 6/11/93
45 1.1 mycroft */
46 1.1 mycroft
47 1.1 mycroft /*
48 1.1 mycroft * ieee.h defines the machine-dependent layout of the machine's IEEE
49 1.1 mycroft * floating point. It does *not* define (yet?) any of the rounding
50 1.1 mycroft * mode bits, exceptions, and so forth.
51 1.1 mycroft */
52 1.1 mycroft #include <machine/endian.h>
53 1.1 mycroft
54 1.1 mycroft /*
55 1.1 mycroft * Define the number of bits in each fraction and exponent.
56 1.1 mycroft *
57 1.1 mycroft * k k+1
58 1.1 mycroft * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented
59 1.1 mycroft *
60 1.1 mycroft * (-exp_bias+1)
61 1.1 mycroft * as fractions that look like 0.fffff x 2 . This means that
62 1.1 mycroft *
63 1.1 mycroft * -126
64 1.1 mycroft * the number 0.10000 x 2 , for instance, is the same as the normalized
65 1.1 mycroft *
66 1.1 mycroft * -127 -128
67 1.1 mycroft * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero
68 1.1 mycroft *
69 1.1 mycroft * -129
70 1.1 mycroft * in the fraction; to represent 2 , we need two, and so on. This
71 1.1 mycroft *
72 1.1 mycroft * (-exp_bias-fracbits+1)
73 1.1 mycroft * implies that the smallest denormalized number is 2
74 1.1 mycroft *
75 1.1 mycroft * for whichever format we are talking about: for single precision, for
76 1.1 mycroft *
77 1.1 mycroft * -126 -149
78 1.1 mycroft * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and
79 1.1 mycroft *
80 1.1 mycroft * -149 == -127 - 23 + 1.
81 1.1 mycroft */
82 1.1 mycroft #define SNG_EXPBITS 8
83 1.1 mycroft #define SNG_FRACBITS 23
84 1.1 mycroft
85 1.1 mycroft #define DBL_EXPBITS 11
86 1.1 mycroft #define DBL_FRACBITS 52
87 1.1 mycroft
88 1.1 mycroft struct ieee_single {
89 1.1 mycroft #if BYTE_ORDER == LITTLE_ENDIAN
90 1.1 mycroft u_int sng_frac:23;
91 1.1 mycroft u_int sng_exp:8;
92 1.1 mycroft u_int sng_sign:1;
93 1.1 mycroft #else
94 1.1 mycroft u_int sng_sign:1;
95 1.1 mycroft u_int sng_exp:8;
96 1.1 mycroft u_int sng_frac:23;
97 1.1 mycroft #endif
98 1.1 mycroft };
99 1.1 mycroft
100 1.1 mycroft struct ieee_double {
101 1.1 mycroft #if BYTE_ORDER == LITTLE_ENDIAN
102 1.1 mycroft u_int dbl_fracl;
103 1.1 mycroft u_int dbl_frach:20;
104 1.1 mycroft u_int dbl_exp:11;
105 1.1 mycroft u_int dbl_sign:1;
106 1.1 mycroft #else
107 1.1 mycroft u_int dbl_sign:1;
108 1.1 mycroft u_int dbl_exp:11;
109 1.1 mycroft u_int dbl_frach:20;
110 1.1 mycroft u_int dbl_fracl;
111 1.1 mycroft #endif
112 1.1 mycroft };
113 1.1 mycroft
114 1.1 mycroft /*
115 1.1 mycroft * Floats whose exponent is in [1..INFNAN) (of whatever type) are
116 1.1 mycroft * `normal'. Floats whose exponent is INFNAN are either Inf or NaN.
117 1.1 mycroft * Floats whose exponent is zero are either zero (iff all fraction
118 1.1 mycroft * bits are zero) or subnormal values.
119 1.1 mycroft *
120 1.1 mycroft * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
121 1.1 mycroft * high fraction; if the bit is set, it is a `quiet NaN'.
122 1.1 mycroft */
123 1.1 mycroft #define SNG_EXP_INFNAN 255
124 1.1 mycroft #define DBL_EXP_INFNAN 2047
125 1.1 mycroft
126 1.1 mycroft #if 0
127 1.1 mycroft #define SNG_QUIETNAN (1 << 22)
128 1.1 mycroft #define DBL_QUIETNAN (1 << 19)
129 1.1 mycroft #endif
130 1.1 mycroft
131 1.1 mycroft /*
132 1.1 mycroft * Exponent biases.
133 1.1 mycroft */
134 1.1 mycroft #define SNG_EXP_BIAS 127
135 1.1 mycroft #define DBL_EXP_BIAS 1023
136