ieee.h revision 1.1 1 1.1 fredette /* $NetBSD: ieee.h,v 1.1 2002/06/05 01:04:22 fredette Exp $ */
2 1.1 fredette
3 1.1 fredette /* $OpenBSD: ieee.h,v 1.1 1999/04/20 19:44:04 mickey Exp $ */
4 1.1 fredette
5 1.1 fredette /*
6 1.1 fredette * Copyright (c) 1992, 1993
7 1.1 fredette * The Regents of the University of California. All rights reserved.
8 1.1 fredette *
9 1.1 fredette * This software was developed by the Computer Systems Engineering group
10 1.1 fredette * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
11 1.1 fredette * contributed to Berkeley.
12 1.1 fredette *
13 1.1 fredette * All advertising materials mentioning features or use of this software
14 1.1 fredette * must display the following acknowledgement:
15 1.1 fredette * This product includes software developed by the University of
16 1.1 fredette * California, Lawrence Berkeley Laboratory.
17 1.1 fredette *
18 1.1 fredette * Redistribution and use in source and binary forms, with or without
19 1.1 fredette * modification, are permitted provided that the following conditions
20 1.1 fredette * are met:
21 1.1 fredette * 1. Redistributions of source code must retain the above copyright
22 1.1 fredette * notice, this list of conditions and the following disclaimer.
23 1.1 fredette * 2. Redistributions in binary form must reproduce the above copyright
24 1.1 fredette * notice, this list of conditions and the following disclaimer in the
25 1.1 fredette * documentation and/or other materials provided with the distribution.
26 1.1 fredette * 3. All advertising materials mentioning features or use of this software
27 1.1 fredette * must display the following acknowledgement:
28 1.1 fredette * This product includes software developed by the University of
29 1.1 fredette * California, Berkeley and its contributors.
30 1.1 fredette * 4. Neither the name of the University nor the names of its contributors
31 1.1 fredette * may be used to endorse or promote products derived from this software
32 1.1 fredette * without specific prior written permission.
33 1.1 fredette *
34 1.1 fredette * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
35 1.1 fredette * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
36 1.1 fredette * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
37 1.1 fredette * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
38 1.1 fredette * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
39 1.1 fredette * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
40 1.1 fredette * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
41 1.1 fredette * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
42 1.1 fredette * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
43 1.1 fredette * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
44 1.1 fredette * SUCH DAMAGE.
45 1.1 fredette *
46 1.1 fredette * @(#)ieee.h 8.1 (Berkeley) 6/11/93
47 1.1 fredette */
48 1.1 fredette
49 1.1 fredette /*
50 1.1 fredette * ieee.h defines the machine-dependent layout of the machine's IEEE
51 1.1 fredette * floating point. It does *not* define (yet?) any of the rounding
52 1.1 fredette * mode bits, exceptions, and so forth.
53 1.1 fredette */
54 1.1 fredette
55 1.1 fredette /*
56 1.1 fredette * Define the number of bits in each fraction and exponent.
57 1.1 fredette *
58 1.1 fredette * k k+1
59 1.1 fredette * Note that 1.0 x 2 == 0.1 x 2 and that denorms are represented
60 1.1 fredette *
61 1.1 fredette * (-exp_bias+1)
62 1.1 fredette * as fractions that look like 0.fffff x 2 . This means that
63 1.1 fredette *
64 1.1 fredette * -126
65 1.1 fredette * the number 0.10000 x 2 , for instance, is the same as the normalized
66 1.1 fredette *
67 1.1 fredette * -127 -128
68 1.1 fredette * float 1.0 x 2 . Thus, to represent 2 , we need one leading zero
69 1.1 fredette *
70 1.1 fredette * -129
71 1.1 fredette * in the fraction; to represent 2 , we need two, and so on. This
72 1.1 fredette *
73 1.1 fredette * (-exp_bias-fracbits+1)
74 1.1 fredette * implies that the smallest denormalized number is 2
75 1.1 fredette *
76 1.1 fredette * for whichever format we are talking about: for single precision, for
77 1.1 fredette *
78 1.1 fredette * -126 -149
79 1.1 fredette * instance, we get .00000000000000000000001 x 2 , or 1.0 x 2 , and
80 1.1 fredette *
81 1.1 fredette * -149 == -127 - 23 + 1.
82 1.1 fredette */
83 1.1 fredette #define SNG_EXPBITS 8
84 1.1 fredette #define SNG_FRACBITS 23
85 1.1 fredette
86 1.1 fredette #define DBL_EXPBITS 11
87 1.1 fredette #define DBL_FRACBITS 52
88 1.1 fredette
89 1.1 fredette #ifdef notyet
90 1.1 fredette #define E80_EXPBITS 15
91 1.1 fredette #define E80_FRACBITS 64
92 1.1 fredette #endif
93 1.1 fredette
94 1.1 fredette #define EXT_EXPBITS 15
95 1.1 fredette #define EXT_FRACBITS 112
96 1.1 fredette
97 1.1 fredette struct ieee_single {
98 1.1 fredette u_int sng_sign:1;
99 1.1 fredette u_int sng_exp:8;
100 1.1 fredette u_int sng_frac:23;
101 1.1 fredette };
102 1.1 fredette
103 1.1 fredette struct ieee_double {
104 1.1 fredette u_int dbl_sign:1;
105 1.1 fredette u_int dbl_exp:11;
106 1.1 fredette u_int dbl_frach:20;
107 1.1 fredette u_int dbl_fracl;
108 1.1 fredette };
109 1.1 fredette
110 1.1 fredette struct ieee_ext {
111 1.1 fredette u_int ext_sign:1;
112 1.1 fredette u_int ext_exp:15;
113 1.1 fredette u_int ext_frach:16;
114 1.1 fredette u_int ext_frachm;
115 1.1 fredette u_int ext_fraclm;
116 1.1 fredette u_int ext_fracl;
117 1.1 fredette };
118 1.1 fredette
119 1.1 fredette /*
120 1.1 fredette * Floats whose exponent is in [1..INFNAN) (of whatever type) are
121 1.1 fredette * `normal'. Floats whose exponent is INFNAN are either Inf or NaN.
122 1.1 fredette * Floats whose exponent is zero are either zero (iff all fraction
123 1.1 fredette * bits are zero) or subnormal values.
124 1.1 fredette *
125 1.1 fredette * A NaN is a `signalling NaN' if its QUIETNAN bit is clear in its
126 1.1 fredette * high fraction; if the bit is set, it is a `quiet NaN'.
127 1.1 fredette */
128 1.1 fredette #define SNG_EXP_INFNAN 255
129 1.1 fredette #define DBL_EXP_INFNAN 2047
130 1.1 fredette #define EXT_EXP_INFNAN 32767
131 1.1 fredette
132 1.1 fredette #if 0
133 1.1 fredette #define SNG_QUIETNAN (1 << 22)
134 1.1 fredette #define DBL_QUIETNAN (1 << 19)
135 1.1 fredette #define EXT_QUIETNAN (1 << 15)
136 1.1 fredette #endif
137 1.1 fredette
138 1.1 fredette /*
139 1.1 fredette * Exponent biases.
140 1.1 fredette */
141 1.1 fredette #define SNG_EXP_BIAS 127
142 1.1 fredette #define DBL_EXP_BIAS 1023
143 1.1 fredette #define EXT_EXP_BIAS 16383
144